A sum is divisible by 3 if and only if both of the dice rolls are either 1 and 2 or 2 and 1, or both of the dice rolls are either 1
How to solve the problem?
To solve this problem, we first need to determine the total number of possible outcomes when rolling the die twice. Each roll has six possible outcomes, so the total number of outcomes when rolling the die twice is 6 x 6 = 36.
Next, we can create a table to list all possible outcomes and their corresponding sums:
Die 1 Die 2 Sum
1 1 2
1 2 3
1 3 4
1 4 5
1 5 6
1 6 7
2 1 3
2 2 4
2 3 5
2 4 6
2 5 7
2 6 8
3 1 4
3 2 5
3 3 6
3 4 7
3 5 8
3 6 9
4 1 5
4 2 6
4 3 7
4 4 8
4 5 9
4 6 10
5 1 6
5 2 7
5 3 8
5 4 9
5 5 10
5 6 11
6 1 7
6 2 8
6 3 9
6 4 10
6 5 11
6 6 12
Using this table, we can calculate the probability of each event:
Event A: The sum is greater than 9.
There are four possible outcomes where the sum is greater than 9: 10, 11, and 12. The probability of getting each of these outcomes is:
P(sum = 10) = 3/36
P(sum = 11) = 2/36
P(sum = 12) = 1/36
Therefore, the probability of Event A is:
P(Event A) = P(sum = 10) + P(sum = 11) + P(sum = 12)
= (3/36) + (2/36) + (1/36)
= 6/36
= 1/6
Event B: The sum is not divisible by 3.
A sum is divisible by 3 if and only if both of the dice rolls are either 1 and 2 or 2 and 1, or both of the dice rolls are either 1
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2. Graph y = x² - 4x + 5 using the critical points (y-intercept, x-intercept, vertex).
Answer:
VERTEX: (8,1)
GRAPH BY DESMOS IS ATTACHED TO THIS POST
Y-INTERCEPT: (5,0)
X-INTERCEPT: NONE
Step-by-step explanation:
To find the vertex, we usually use the formula -b/2a to find the x-vertex. So, the x-vertex would be:
-(-4)/2
4/2
2
The y-vertex can be found by substituting the x-vertex back into the equation. So:
y=(2)² -4(2) + 5
y= 4-8+5
y= -4 + 5
y= 1
So, we found that our vertex is (8,1)
Because we see that our "a" value from our quadratic equation is positive, this tells us that the graph opens upwards. We know our vertex is higher than our x-axis line, so there will be no x-intercepts.
The y-intercept is found when the x-value equals to 0. So, inserting this into the equation, we get :
y=(0)² - 0 +5
y= 5
So, we have found our y-intercept as (0, 5)
The graph you could've made would've been using the vertex and the y-intercept and connecting those points for one side of the quadratic graph. The other side would require an integer point for more accuracies, and I believe that the point (3,2) also works.
So, using the points (3,2), (0,5), and (8,1), we can make a graph!
I hope this helped :P
Using your points from Part A, What is the total amount of water, in gallons, in the pool after 47 minutes? Show your work or explain how you determined your answer.
The total amount of water in the pool after 47 minutes is 1,470 gallons.
Determine the initial volume of water in the pool (if any) from Part A.
Calculate the rate at which water is being added to or removed from the pool (in gallons per minute).
This information should also be provided in Part A.
Multiply the rate of water flow by 47 minutes to find the total amount of water added or removed during that time.
For example, if the rate is 10 gallons per minute, you would calculate 10 * 47 = 470 gallons.
Add the initial volume of water to the total amount of water added or removed during the 47 minutes.
If the initial volume was, for example, 1,000 gallons and you added 470 gallons, the total volume would be 1,000 + 470 = 1,470 gallons.
The final result is the total amount of water in the pool after 47 minutes.
In the example above, the total volume would be 1,470 gallons.
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PLS HELP!!! DUE TOMORROW!!! I need a paragraph!! Pls and thank you!! edit: I accidentally put it as math it's history!
A common theme found in European history during this time frame is that countries in power were always pretty confident that they were justified in their thinking, beliefs and actions. Point out some ways in which they were very wrong (even though they thought otherwise).
Despite their confidence in their thinking, beliefs, and actions, European countries in power during this time frame were often wrong in their assumptions about the superiority of their culture and the legitimacy of their actions towards other nations and peoples.
Why were the European very wrong with their thought?European countries in power during this time frame, particularly in the 19th and early 20th centuries, believed in the concept of imperialism and the "civilizing mission" of spreading their culture and values to other parts of the world. This often led to the exploitation and oppression of colonized peoples, as well as the imposition of Western values on non-Western cultures.
However, these assumptions about the superiority of Western culture were flawed and based on a Eurocentric view of the world. Additionally, many European powers engaged in brutal and violent actions, such as the forced removal of Indigenous peoples from their lands, the use of slavery and forced labor, and the exploitation of natural resources.
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A rectangular paperboard measuring 20in long and 12in wide has a semicircle cut out of it, as shown below. What is the perimeter of the paperboard that remains after the semicircle is removed? (Use the value 3.14 for pi , and do not round your answer. Be sure to include the correct unit in your answer.)
A semicircle has been cut out of a rectangular paperboard that is 20 inches long and 12 inches broad, as seen below. After the semicircle is taken out, the paperboard's remaining perimeter is 34.58 inches.
The paperboard has a length of 20 inches and a width of 12 inches. A semicircle is cut out of it, which means we need to find the perimeter of the remaining part.
The diameter of the semicircle is equal to the width of the paperboard, which is 12 inches. So, the radius of the semicircle is half of the diameter, which is 6 inches.
The perimeter of the remaining part will be the sum of the length of the paperboard and the two straight sides of the semicircle.
The length of the paperboard is 20 inches, and the two straight sides of the semicircle are equal to the diameter of the semicircle, which is 12 inches. So, the perimeter of the remaining part is:
P = 20 + 12 + 12 = 44 inches
However, we also need to subtract the length of the curved part of the semicircle from the perimeter. The length of the semicircle can be found using the formula:
C = πr
where C is the circumference of the semicircle and r is the radius.
Since we have a semicircle, we need to divide the circumference by 2. So, the length of the curved part of the semicircle is:
C/2 = (π x 6) / 2 = 9.42 inches (rounded to two decimal places)
Therefore, the perimeter of the remaining part is:
P = 44 - 9.42 = 34.58 inches (rounded to two decimal places)
So, the perimeter of the remaining paperboard is 34.58 inches.
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Trigonometry review applications
I need help with 15-18
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It has many real-world applications such as in (engineering, architecture, and navigation.)
15. One application of trigonometry is in determining the height of a building. This can be done by measuring the angle of elevation from a known distance away from the building and using trigonometric functions to find the height.
16. Another application of trigonometry is in surveying land. Surveyors use trigonometry to measure distances and angles between different points on a piece of land, which helps them create accurate maps and boundary lines.
17. Trigonometry is also used in physics to calculate the motion of objects that move in a circular or oscillatory motion, such as a pendulum or a rotating wheel.
18. Finally, trigonometry is used in astronomy to calculate the position and movement of celestial bodies. Astronomers use trigonometric functions to measure the distance between stars and galaxies
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decompose the mixed number in two different ways 1 4/10
The mixed number 1 4/10 can be decomposed as 14/10 or 1 2/5.
We may use the fact that a mixed number combines a whole number and a correct fraction to deconstruct the mixed number 1 4/10 in two different ways. So, the mixed number 1 4/10 can be represented as follows:
1 4/10 = 1 + 4/10
The sum of two fractions with a common denominator can be used to decompose this mixed number. This can be accomplished by changing the whole number 1 to a fraction with the same denominator as the fraction 4/10:
1 4/10 = 1 + 4/10 = 10/10 + 4/10 = 14/10
The sum of a whole number and a fraction that is less than one can be used to further break down this mixed number. In order to achieve this, we can take one out of the mixed number and express the resulting fraction in the simplest words possible:
1 4/10 = 1 + 4/10 = 1 + (4/10)/(10/10) = 1 + 2/5 = 1 2/5
The mixed number 1 4/10 can be broken down into 14/10 or 1 2/5 as a result.
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What’s 890 / 5621 /56 +8987 x 67 - square root
The simplified expression is: √602755 = 776.372977
What do you mean by term Square root ?
The square root of a number is a value that, when multiplied by itself, gives the original number. It is denoted by the symbol √, which is called the radical symbol. For example, the square root of 16 is 4 because 4 multiplied by 4 equals 16. The square root of a non-negative number is always a non-negative number.
Assuming
(890 / 5621) / 56 + 8987 x 67 - sqrt(x)
where x is some unknown value, we can simplify the expression as follows:
First, we can simplify the division:
(890 / 5621) / 56 = 0.000281
Then we can substitute this value into the expression and simplify the multiplication:
0.000281 + 8987 x 67 - sqrt(x) = 602755 - sqrt(x)
At this point, we cannot simplify the square root further without knowing the value of x.
Therefore, the simplified expression is:
√602755 - 776.372977
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Solve the systems by graphing.
y = -2x - 8
X-Y = 5
Answer: x=1, y=-6
Step-by-step explanation:
YESSIR
Suppose you want to have $300,000 for retirement in 30 years. Your account earns 9% interest
How much would you need to deposit in the account each month?
How much interest will you earn?
Using percentage, we can find that:
You need to deposit $833.33 every month and the interest earned will be = $27,000.
Define percentage?The Latin term "per centum," which means "by the hundred," is the source of the English word "percentage." Fractions with a denominator of 100 are percentages. In other words, it is a link where the value of "whole" is always taken to be 100.
Total amount you want to have = $300,000
Time is = 30 years
= 30 × 12
= 360 months.
Interest earned is 9%.
Now, the amount you need to deposit every month =
Total amount/Total time
= 300000/360
= $833.33
So, you need to deposit $833.33 every month.
Now interest earned in 30 years is given = 9%
So, amount earned = 9% of 300,000
= 9/100 × 300,000
= $27,000.
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Alexander built a toy box in the shape of a rectangular prism with an open top. The diagram below shows the toy box and the net of the toy box. NET OF TOY BOX is 14 cm 10 cm 9 cm What is the surface area, in square centimeters, of the toy box?
The surface area of the toy box is 712 square centimeters.
Describe Surface Area?Surface area is the measure of the total area that the surface of an object occupies. In other words, it is the sum of the areas of all the faces or surfaces of the object.
For example, consider a rectangular prism with dimensions length (l), width (w), and height (h). The surface area of this object would be the sum of the areas of all six faces, which are:
Two rectangular faces with area lw
Two rectangular faces with area wh
Two rectangular faces with area lh
So the total surface area of the rectangular prism would be:
Surface area = 2lw + 2wh + 2lh
The concept of surface area is useful in various fields, such as architecture, engineering, and physics. For example, in construction, knowing the surface area of a structure can help estimate the amount of materials needed for construction, such as paint or roofing tiles. In physics, surface area is important in determining the heat transfer and rate of reaction of a substance.
The surface area of the toy box can be found by summing the areas of its six faces. From the given net, we can see that the toy box has dimensions of 14 cm by 10 cm by 9 cm.
The top and bottom faces have areas of 14 cm × 10 cm = 140 cm² each.
The front and back faces have areas of 14 cm × 9 cm = 126 cm² each.
The left and right faces have areas of 10 cm × 9 cm = 90 cm² each.
Therefore, the total surface area is:
2(140 cm²) + 2(126 cm²) + 2(90 cm²) = 280 cm² + 252 cm² + 180 cm² = 712 cm²
Thus, the surface area of the toy box is 712 square centimeters.
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How much did she pay?
Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.
What is rate?A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio of two different units, such as miles per hour or dollars per pound. Rates can be used to compare different values and to make predictions about future outcomes. Common examples of rates include interest rates, exchange rates, and tax rates.
According to the given information:To calculate Megan's tax bill, we need to find the tax on each part of her earnings that falls within the different tax brackets, and then add them up.
For the first £11,000 of Megan's earnings, there is no tax.
For the next £32,000 of Megan's earnings (from £11,001 to £43,000), the tax rate is 20%, so the tax on this portion of her earnings is:
0.2 x 32,000 = £6,400
For the next £107,000 of Megan's earnings (from £43,001 to £150,000), the tax rate is 40%, so the tax on this portion of her earnings is:
0.4 x 107,000 = £42,800
For the portion of Megan's earnings over £150,000, the tax rate is 45%, so the tax on this portion of her earnings is:
0.45 x 8,900 = £4,005
Therefore, Megan's total tax bill is:
£6,400 + £42,800 + £4,005 = £53,205
So, Megan paid £53,205 in total tax for the last year.
Therefore, Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.
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Suppose the amount of time it takes a Capt. Rigg, a pilot for a national airline, to land a plane from announcement to touch down is uniformly distributed from 0 to 25 minutes. a) Find the probability that, for a randomly selected flight, it takes Capt. Rigg at least 5 minutes to land the plane after the announcement. Round to 1 decimal place. b) What is the longest landing time included in the 10% of flights he lands the quickest. Round to 1 decimal place. c) What is the probability that it will take Capt. Rigg exactly 15 minutes to land a plane?
On solving the provided question we cans ay that Thus the probability that Capt. Rigg will wait at least 5 minutes to land the plane following the announcement is 1 - 0.5 = 0.5.
What is probability?Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.
probability Capt. Rigg has at least 5 minutes after the announcement to land the plane, which is equal to the area under the probability density function of the uniform distribution ranging from 5 to 25 minutes. A uniform distribution's density function on the interval [a, b] is f(x) = 1/(b-a) for an x b and f(x) = 0 otherwise.
Because a = 5 and b = 25 in this case, the density function is f(x) = 1/20 for 5 x 25, and f(x) = 0 otherwise. From 5 to 25, the area covered by this function is:
dx = [5,25] 1/20 dx = [x/20] from 5 to 25 = (25-5)/20 = 1.
Thus the likelihood that Capt. Rigg will wait at least 5 minutes to land the plane following the announcement is 1 - 0.5 = 0.5.
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During a 5-day paper recycling drive, the students in a classroom collected 12.4 pounds of paper each day for 4 days and 8.39 pounds of paper on the fifth day. Which steps can be used to find the total number of pounds of paper the students collected for the recycling drive? A Multiply 12.4 by 4, then add 8.39. B Multiply 12.4 by 5, then add 8.39. C Add 12.4 and 8.39, then multiply the result by 4. D Add 12.4 and 8.39, then multiply the result by 5.
Answer:
A.57.99 B.70.39 C 45.96
Step-by-step explanation:12.4 x 4 + 8.39 = 57.99 for Part A For B, this is 12.4x5+8.39=70.39. C is 12.4+8.39x4=45.96 12.4 + 8.39 x 5 =54.35
I'm not sure whether I should group the responses because there isn't much context, but I hope this helps.
Which three questions are statistical questions?
A
B
C
D
E
How many hours of sleep per night do students usually get when they have school the next day?
What is the minimum height requirement for a rollercoaster?
What are the heart rates of the students in Mr. Peterson's physical education class?
How many letters are in the last names of the students in my 6th grade class?
How many runs did the New York Yankees score in their last game?
The three statistical questions are: A. How many hours of sleep per night do students usually get when they have school the next day? B and E.
What is a statistical question?A statistical question is one that may be resolved via the collection and examination of data. The question frequently incorporates a variable that might differ from person to person or scenario to situation, and the solution is not always the same. The words "how many," "what is the average," "what is the range," "what is the distribution," etc. are frequently used in statistical queries.
The three statistical questions are:
How many hours of sleep per night do students usually get when they have school the next day?
What are the heart rates of the students in Mr. Peterson's physical education class?
How many runs did the New York Yankees score in their last game?
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Write te equation of a circle with (-17;-9) and (-19;-9) being the ends of the diameter
Answer:
[tex](x + 18)^{2} + (y + 9)^{2} = 1[/tex]
Step-by-step explanation:
Write a mixed number giving the amount shaded. Then write this amount as as improper fraction
Answer:
improper fraction would be 3 2/3 and mixed number would be 11/3
Step-by-step explanation:
) 100 जना मानिसमा गरिएको सर्वेक्षणमा 65 जनाले दुध र 55 जनाले दही मन पराउँछन् । यदि 15 जनाले दुवै मन पराउँदैनन् भने भेनचित्र प्रयोग गरी दुध र दही दुवै मन पराउने मानिसको सङ्ख्या पत्ता लगाउनुहोस् । In a survey of 100 people, 65 like milk and 55 like curd. If 15 like none of these, by using Venn-diagram, find how many people like both milk and curd. 12- मूल्य अभिवृद्धि कर सहित बिक्री गरियो । यदि
Answer:
X=35
Step-by-step explanation:
if the translated part is the full question; the answer is attached ⬆️.
Hope it helps
I need help with this practice. Assistance would be greatly appreciated.
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet Jane at the end of her run.
How much farther does Jane travel than her trainer? Answer the questions to find out.
1. What is the total distance Jane travels biking and running? Include units with your answer. (2 points)
2. Use the Pythagorean theorem to write an equation for the distance Jane's trainer bikes. (2 points)
3. Solve your equation to find the distance Jane's trainer bikes. Show your work. (3 points)
4. How much farther does Jane travel than her trainer? (3 points)
Answer:
1 The total distance Jane travels biking and running is the hypotenuse of a right triangle with legs 16 miles and 12 miles. Using the Pythagorean theorem, we can find this distance:
distance = sqrt(16^2 + 12^2) = sqrt(256 + 144) = sqrt(400) = 20 miles
So Jane travels a total of 20 miles.
2 The distance Jane's trainer bikes is the distance from the health club to the point where he meets Jane. Let's call this distance x. We can represent this with the following right triangle:
css
Copy code
A (health club)
|
|
| x
|
|
B (meeting point)
where A and B are points on a coordinate plane, and the x-axis represents the direction Jane runs.
Using the Pythagorean theorem, we can write:
x^2 + 12^2 = d^2
where d is the distance from the health club to the end of Jane's run. We know that d = 20, so we can substitute:
x^2 + 12^2 = 20^2
3. Solving for x:
x^2 + 144 = 400
x^2 = 256
x = sqrt(256) = 16
So Jane's trainer bikes 16 miles.
4 Jane travels 20 - 16 = 4 miles farther than her trainer.
Step-by-step explanation:
Four more than the quotient of a number and 6 equals 9 Turn into a equation
Answer:
We can get creative and use many equations using these numbers.
Step-by-step explanation:
4 more than (addition) the quotiont (division) Of a number (a variable) 6 is equal to 9.
let the variable for number be n.
we can use 4n/6=9
x=13.5
or 13 5/10
Answer:
Step-by-step explanation:
(x ÷ 6) + 4 = 9
(x ÷ 6) +4 - 4= 9 -4
x ÷ 6 = 5
x/6 = 5
x/6 · 6/1 = 5 · 6
x = 30
Each of 17 mothers-to-be received 3D ultrasound scans, which showed that 8 of them will give birth togirls. Assuming that simultaneous births do not happen
(i.e., babies are born one after another), what is the
probability that the first two babies that are born
happen to be boys?
Since each birth is independent and the probability of giving birth to a boy or a girl is equal, the probability of giving birth to a boy is 0.5, and the probability of giving birth to a girl is also 0.5.
The probability of the first baby being a boy is 0.5. The probability of the second baby also being a boy is also 0.5, since the gender of one baby does not affect the gender of the other.
The probability of both events occurring together (i.e., the probability of having two boys in a row) is equal to the product of their probabilities. Thus, the probability of having two boys in a row is 0.5 x 0.5 = 0.25 or 25%.
Since simultaneous births do not happen (i.e., babies are born one after another), the probability of the first two babies that are born being boys is the same as the probability of any two specific babies being boys. Therefore, the probability of the first two babies being boys is 0.25 or 25%.
Note that the fact that 8 out of the 17 mothers will give birth to girls is irrelevant to this particular probability problem, since we are only interested in the probability of two specific babies being boys.
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8) A kite descends 57 feet in 3 seconds. Which integer represents the change, in fee
position of the kite after one second?
54
-29
-19
O-3
In the proportion , in 1 second the position of kite is C)19 feet.
What is proportion?
A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.
Here in 3 seconds a kite's position = 57 feet.
Then , in 1 second a kite's position = x feet.
Now using proportion then,
=> 3 seconds = 57
1 second = x
=> x = 57/3 = 19 feet.
Hence In 1 second the position of kite is C)19 feet.
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A jar contains 8 red marbles numbered 1 to 8, 12 blue marbles numbered 1 to 12, and 4 white marbles numbered 1 to 4. A marble is drawn at random from the jar. Find the probability of the given event. Write your answers as integers or reduced fractions. (a) The marble is red. (b) The marble is not red. (c) The marble has the number 2 written on it. (d) The marble is blue with the number 1 written on it. (d) The marble has the number 15 written on it.
(e) There is no marble with the number 15 on it, so the probability of drawing such a marble is 0.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
(a) The probability of drawing a red marble is the number of red marbles divided by the total number of marbles in the jar. So, the probability is 8/(8+12+4) = 8/24 = 1/3.
(b) The probability of not drawing a red marble is the number of non-red marbles divided by the total number of marbles in the jar. So, the probability is (12+4)/(8+12+4) = 16/24 = 2/3.
(c) The probability of drawing a marble with the number 2 on it is the number of marbles with the number 2 divided by the total number of marbles in the jar. There is only one red marble with the number 2, one blue marble with the number 2, and no white marbles with the number 2. So, the probability is 2/24 = 1/12.
(d) The probability of drawing a blue marble with the number 1 on it is the number of blue marbles with the number 1 divided by the total number of marbles in the jar. There is only one blue marble with the number 1. So, the probability is 1/24.
(e) There is no marble with the number 15 on it, so the probability of drawing such a marble is 0.
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What’s the answer to this math problem that’s in the picture?
The value of the account at the end of 50 years is $432,125.19.
1. For the first 20 years:
The monthly contribution is $110, and the interest rate is 5.5% compounded monthly.
Using the formula:
FV = P [[tex](1 + r)^n[/tex] - 1] / r
where:
FV = Future value
P = Monthly payment
r = Monthly interest rate
n = Number of months
Plugging in the values:
FV1 = $110 x [tex][(1 + 0.055/12)^{(20)(12)[/tex] - 1] / (0.055/12)
= $67,100.54
2. For the next 25 years:
The monthly contribution increases to $225, and the interest rate remains the same at 5.5% compounded monthly.
Plugging in the values:
FV2 = $225 [[tex][(1 + 0.055/12)^{(25)(12)[/tex] - 1] / (0.055/12)
= $307,527.10
3. For the last 5 years:
The monthly contribution further increases to $350, and the interest rate is still 5.5% compounded monthly. Again, we will use the same formula to calculate the future value of the contributions made during this period.
Plugging in the values:
FV3 = $350 [[tex][(1 + 0.055/12)^{(5)(12)[/tex] - 1] / (0.055/12)
= $57,497.55
Finally, the total value of the account at the end of 50 years
Total Value = FV1 + FV2 + FV3
= $67,100.54 + $307,527.10 + $57,497.55
= $432,125.19
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Vusi has been told that he should increase the overall total value of all of the eight parts by 10%, to reflect the effect of price inflation and the devaluation of the rand over the six month period when the production line was not operational.
By answering the presented question, we may conclude that As a result, equation the new total value of all eight pieces, after the 10% rise, is R132.
What is equation?In mathematics, an equation is a statement that states the equivalence of two expressions. An equation is made up of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" contends that the phrase "2x Plus 3" equals the number "9." The purpose of equation solving is to identify the value or values of the variable(s) that will make the equation true. Simple or complicated equations, regular or nonlinear, with one or more components are all possible. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are utilized in many areas of mathematics, including algebra, calculus, and geometry.
Multiply the current total value by 1.1 to boost the overall total value of all eight components by 10%.
To begin, compute the current total value of all eight parts:
R16 + R24 + R30 + R18 + R12 + R10 + R16 + R14 = Total value
R120 is the total value.
Let us now boost the total amount by 10%:
Total new value = R120 x 1.1
R132 is the new total value.
As a result, the new total value of all eight pieces, after the 10% rise, is R132.
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Which fraction is equivalent to 0.008?
A. 2/250
B. 4/250
C. 2/?25
D. 4/25
Answer:
A. 2/250
Step-by-step explanation:
So, first use calculator on the multiple-choice question.
9t+6
in standard form. asap!
The standard form of the expression 9t + 6 is:
9t + 1.How to find the standard form of this expression?To write the expression 9t + 6 in standard form, we need to rearrange the terms so that the t-term comes before the constant term:
9t + 6 = 9t + 6(1)= 9t + 6(1/6)= 9t + (6/6)= 9t + 1Therefore, the standard form of an algebraic expression is a way of writing the expression by arranging the terms in a specific order. In the case of linear expressions like 9t + 6, the standard form is to write the t-term before the constant term.
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State what each variable may be so that the equation is true.
You must have at least one negative number.
Explain how you chose the values for a and b.
2ª 2b = 20
Edis
The answer is 2a + 2b + 3 = 20
Use a cofunction to write an expression equal to
The required expression equal to [tex]$\csc\left(\frac{4\pi}{9}\right)$[/tex] using a cofunction is: [tex]\begin{equation}\frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}[/tex]
How to deal with trigonometric equation?Trigonometry is the study of angles and the angular relationships between planar and three-dimensional figures. The cosecant, cosine, cotangent, secant, sine, and tangent are the trigonometric functions—also known as the circular functions—that make up trigonometry.
According to question:The cofunction of sine is cosine, which means:
[tex]$\begin{equation}\csc(\theta) = \frac{1}{\sin(\theta)} = \frac{1}{\cos\left(\frac{\pi}{2}-\theta\right)}\end{equation}[/tex]
Therefore, we can express [tex]$\csc\left(\frac{4\pi}{9}\right)$[/tex] as:
[tex]$\begin{equation}\csc\left(\frac{4\pi}{9}\right) = \frac{1}{\sin\left(\frac{4\pi}{9}\right)} = \frac{1}{\cos\left(\frac{\pi}{2}-\frac{4\pi}{9}\right)}\end{equation}[/tex]
Simplifying the argument of the cosine function:
[tex]$\begin{equation}\frac{\pi}{2}-\frac{4\pi}{9} = \frac{5\pi}{18}\end{equation}[/tex]
Substituting this back into the equation, we get:
[tex]$\begin{equation}\csc\left(\frac{4\pi}{9}\right) = \frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}[/tex]
Therefore, an expression equal to [tex]$\csc\left(\frac{4\pi}{9}\right)$[/tex] using a cofunction is:
[tex]\begin{equation}\frac{1}{\cos\left(\frac{5\pi}{18}\right)}\end{equation}[/tex]
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can someone help me pleasee
Find the x- and y- intercepts, if they exist.
f(x)= log2(x+2)-5
Accοrding the given questiοn the x- and y- intercepts, are as fοllοws,
x-intercept =(28, 0), y-intercept = (0, -4)
What are intercepts?An intercept is the pοint οf intersectiοn οf the line with the cοοrdinate axes. If the line intersects with the X axis, then the y cοοrdinate οf the pοint οf intersectiοn is zerο and the intercept is called the x intercept.
Tο find the x-intercept, we need tο sοlve fοr x when y = 0:
0 = lοg2(x + 2) - 5
5 = lοg2(x + 2)
[tex]2^5 = x + 2[/tex]
x = 30 - 2 = 28
Therefοre, the x-intercept is (28, 0).
Tο find the y-intercept, we need tο evaluate the functiοn when x = 0:
f(0) = lοg2(0 + 2) - 5
f(0) = lοg2(2) - 5
f(0) = 1 - 5
f(0) = -4
Therefοre, the y-intercept is (0, -4)
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Name a radius
Name a chord
Name a tangent
Where is the point
of tangency?
B
E
C D
G
TH
F
The names of the terms stated on the circle are radius = DB, chord = GE, tangent = IF and point of tangency = H
Naming the terms stated on the circleA radius is a line segment that connects the center of a circle to any point on the circle's circumference.
So, the radius is DB
A chord is a line segment that connects two points on the circumference of a circle.
So, the chord is GE
A tangent is a line that intersects a circle at exactly one point, called the point of tangency.
So, the tangent is IF and the point of tangency is H
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