Answer:
6 and -13
Step-by-step explanation:
Absolute ValueAbsolute Values are magnitudes (only positive values) of any values (be it positive or negative.)
Example: |4.5| = 4.5, |-6.7| = 6.7
Solution1. |2x + z| + 2y
= |2(2.1) + (-4.2)| + 2(3)
= |4.2 - 4.2| + 6
= 0 + 6
= 6
2. 4a - |3b + 2c|
= 4(-2) - |3(-3) + 2(2)|
= -8 - |-9 + 4|
= -8 - |-5|
= -8 - 5
= -13
can someone please help me with this math problem! thank you! :)
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:
Tan = Opposite/Adjacent
Using the values on the diagram, we have ...
tan(65°) = 18/y
Multiplying by y/tan(65°) gives ...
y = 18/tan(65°)
y ≈ 8.3935 ≈ 8.4
When the equations 3x 5y 9 and 5x 3y 7 are solved then the value of x y 2?
When these equations are solved, the value of x is 4 and the value of y is 3. Therefore, the value of x + y = 7.
To solve the system of equations, we will use the elimination method.
First, we multiply the first equation by 3 and the second equation by 5.
3(3x + 5y = 9)
5(5x + 3y = 7)
Then, we add the equations together:
9x + 15y = 27
25x + 15y = 35
Now, we subtract the second equation from the first to eliminate the x terms:
-16y = -8
y = 0.5
Next, we plug this value for y into one of the original equations and solve for x:
3x + 5(0.5) = 9
3x = 8.5
x = 2.83
Finally, we plug the values of x and y into the original equation to verify that they are correct:
3(2.83) + 5(0.5) = 9
So, the value of x is 2.83 and the value of y is 0.5. Therefore, the value of x + y = 2.83 + 0.5 = 3.33.
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Eva gets £42 a month for her allowance. Out of this, for every £5 she spends, she saves £1 how much money does she spend in a month
Answer:
Eva spends £35 in a month.
Step-by-step explanation:
We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.
We are looking to find out how much money does she spend in a month.
To calculate this, we can use the following formula:
Spent money = Allowance - (Allowance / (5 + 1))
Plugging in the known values:
Spent money = 42 - (42 / (5 + 1))
Spent money = 42 - (42 / 6)
Spent money = 42 - 7
Spent money = 35
So, Eva spends £35 in a month.
Find area of trapezium
Answer:
To find the area of a trapezium you do 1/2(a + b)h
Step-by-step explanation:
On Friday, 55% of the students at Wilson Middle School bought a hot lunch and the rest packed their lunch. What fraction of students packed their lunch? Select TWO that apply. A. 11/20 B. 45/100 C. 55/100 D. 9/20
Answer: B. 45/100 & D. 9/20
Step-by-step explanation:
100-55=45
45/100 works
45/5 = 9
100/5 = 20
9/20 is a simplified 45/100
Determine if the expression -3z2 is a polynomial or not. If it is polynomial, state
the
type and degree of the polynomial.
Therefore, the equation that best fits these scatter plot facts as the answer to this problem is y=661-0.1x.
Describe a scatter plot.The term "scatter plot" refers to a particular sort of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that arise indicating any association between the data.
Given the correlation between the data at this moment and the graph provided in the question, y=661-0.1x is an equation that best captures the scatterplot's line of best fit.A scatter plot is a specific type of graph in which the x- and y-axes are used to represent the values of two variables, with the dots that appear showing any associations between the data.
y=661-0.1x is the equation whose solution best fits this data.
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Find the length of AB.
AB = [? ]m
80°
8 m
В B.
Round your answer to the nearest hundredth.
Enter
The arc length AB of the given circle = 11.16 m.
In the given circle,
Radius (r) = 8 m
Sector angle (θ) = 80 degree
We have to find arc length AB
Since we know that,
A curve contains an arc. A circle is the most common example of an arc, yet it may also be a section of other curved forms like an ellipse.
We also know that,
Length of arc of circle = (θ/360)x2πr
= (80/360)x2x3.14x8
= 11.16 m
Hence,
Required arc length of AB = 11.16m
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solve 6x - 14 < -14 or 3x + 10 > 13
Which variation is represented by this situation:
Lisa and Maria are at a convention. There is enough food at the convention to feed 300 attendees for 4 days. If 400 people attend the convention, how long will the food last?
If 400 people attend the convention,
the food will last for 3 days.
What is inverse proportion?Two quantities a and b are said to be in inverse proportion if an increase in quantity a, there will be a decrease in quantity b, and vice-versa. In other words, the product of their corresponding values should remain constant. Sometimes, it is also known as inverse variation.
That is, if ab = k, then a and b are said to vary inversely. In this case, if b1, b2 are the values of b corresponding to the values a1, a2 of a, respectively then a1 b1 = a2 b2 or a1/a2 = b2 /b1
Given,
Food for 300 people will Last for 4 days.
Attending people = 400
Let the food for 400 will last for x days.
According to the question,
300 × 4 = 400 × x
x = 300 × 4 /400
x = 3
Hence, the food will last 3 days,
if 400 people attend the convention.
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Mhanifa please help! This is due soon
Answer:
By using the Pythagorean theorem, the sides form a right triangle:
36^2 + 15^2 = 39^2
A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in:5hrs
help
multiple 5x 3 3/4 then change to an improper fraction
ST =19 and RT=67 find RS
Answer:
48
Step-by-step explanation:
I'm assuming all the points are on one line..
In that case you'd subtract the big segment (67) by the little segment (19) to get the other little segment
Part 1
Hi I really need help with some of these questions please I'm on a tight schedule with getting the rest of my work done so please if anyone can please help me I'm giving 45 points away please help me.
Also on the ones where you need to show the work please do if you can
I will post another part or these question and it will be worth 30 points
Answer:
1) c. AD || CE
2) solve them both first:
3y + 1 = 6x + 4 2y + 1 = x - 9
3y = 6x + 3 2y = x - 10
y = 2x + 1 . y = 1/2x - 5
Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated
Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.
The answer is D, neither parallel nor perpendicular.
3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.
[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]
The answer is D.
4) d. GB || HC
5) d. 345.6
[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]
A ≈ 345.58 ≈ 345.6
6) first change the other equation (4x + 2y = 10) to slope-intercept form:
2y = -4x + 10
y = -2x + 5
because the line must be parallel, it has to have a slope = -2
That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.
7) best bet is a. EH and BC are coplanar, but I'm really not sure
8) d. DB and HF
9) first change the other equation (4x - 6y = 15) to slope-intercept form:
-6y = -4x + 15
y = 2/3x - 5/2
slope of the perpendicular line should be -3/2
y = -3/2x + a
9 = -3/2(6) + a
9 = -9 + a
a = 18
y = -3/2x + 18
which is the same as y - 9 = -3/2(x - 6), which is A
If ABCD is dilated by a factor of the
coordinate of D' would be:
4-3
12
3
N
18
T
2
3
4
5
O
9 10
D'=([?]))
Enter
When ABCD is dilated by a factor of the coordinate of D' and the size of the coordinate point is, A"s coordinate would be (-6, -2) (-3, -1) .
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
The coordinate point's size is specified as (-3, -1).
The coordinate A' will be supplied as follows if the coordinate A is dilatable by a factor of two: A' = (2(-3), 2(-1)) = (-6, -2)
Consequently, A"s coordinate would be (-6, -2)
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Don’t mind where it says number 17 but plz help!!!SHOW YOUR WORK ON PAPER PLZ!
Answer:
sum of angles = 40 + (8x + 4) + (3x + 4) = 180
Collecting all similar terms, the equation above becomes
11x + 8 = 140 ---> x = 12
Therefore. angle S = 3x + 4 = 3(12) + 4 = 40
Which is equal to the cosine of
Answer:
The sine of the opposite angle
What is
2(4x+4)
————
3
X =5
Answer and Step-by-step explanation:
First, distribute the 2 to the 4x and 4.
[tex]\frac{8x + 8}{3}[/tex]
This can be the final answer, or you can have it as [tex]\frac{8x}{3} +\frac{8}{3}[/tex].
I'm not sure about the X =5, but I think it is saying that x is equal to 5, so we will plug 5 in to the equation.
[tex]\frac{8(5)}{3} + \frac{8}{3} \\\\\\ \frac{40}{3} + \frac{8}{3} \\\\\\ \frac{48}{3} = 16[/tex]
When x is equal to 5, 16 is the answer.
#teamtrees #PAW (Plant And Water)
The function f is defined by f(x) = mx + b, where m and b are constants. If f(0) = 18 and f(1) = 20, what is the
value of m?
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.
What are 3 examples of a constant?A few more constant examples are :
The number of days in a week represents a constant.
In the expression 5x + 10, the constant term is 10.In 2a, 2 is a constant.In -7mn, -7 is a constant.In 3x, 3 is constant.A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.There are four major constants that appear within mathematical calculations. These math constants are used in a whole variety of equations and formulae and are repeatedly seen in a variety of areas.The easiest way we can find a constant term in math is to look first for stand-alone numbers, and then for coefficients and variables that can be solved for. A variable cannot be solved for and return only one value if it has an exponent, such as x^2.A function is called no constant if it takes more than one value (if there is more than one element in its range).Substitute:
m*o+b=18
m+b=20
Apply Zero Property of Multiplication:
b=18
m+b=20
Substitute into one of the equations:m+18=20
Rearrange unknown terms to the left side of the equation:m=20-18
Calculate the sum or difference:m=2
The solution of the system is:
b=18
m=2
The answer is b=18 m=2
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3 consecutive even numbers add to make 72.
What are the 3 numbers?
Show your working
Here it is . Sorry for bad handwriting
At a yard sale,Dan bought a used lawnmower for $60. that was 30% of what the mower cost when it was new. What was the original price of the lawnmower?
Answer:
30/100 X $60= $18.
The original price will be $60 + $18 = $78.
A quadratic equation is shown below: x2 − 8x + 13 = 0 Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points) Subtract 5 from both sides of the equation Subtract 3 from both sides of the equation Add 5 to both sides of the equation Add 3 to both sides of the equation
Answer:
Add 3 to both sides of the equation
Solution:
The first step is to basically realize that all it's asking you to do is to find a way to make the expression on the left ([tex]x^2 - 8x + 13[/tex]) into an expression that is a perfect square. So what number should you add to both sides such that [tex]x^2 - 8x + (13 + j)[/tex] can be factored into [tex](x-p)^2[/tex] ? Well, we can approach it like this:
Since [tex](x-p)^2[/tex] can be turned into [tex]x^2 -2px + p^2[/tex], and our original form was [tex]x^2 - 8x + (13 + j)[/tex], we quickly realize that [tex]-2px = -8x[/tex]. From there, we can easily tell that [tex]p = 4[/tex]
Plug this into our last value [tex]p^2[/tex] to get 16. Therefore, if we compare this with our original equation again [tex]x^2 - 8x + (13 + j)[/tex], we notice that 13 + j = 16.
Thus, j = 3 for the last answer.
Add 3 to both sides of the equation.
Note: With more practice, you will quickly gain enough intuition to notice that [tex]x^2 - 8x + 13[/tex] is very close to [tex]x^2 - 8x + 16[/tex] which can be factored into [tex](x-4)^2[/tex]. But for now, the solution above will suffice. I hope this helps :))
√xx − 2 = 7
a. 51
b. 27
c. 23
Answer: c=23
Step-by-step explanation: Honest guess
What is the answer to inequality?
The direction of inequality is reversed when you multiply or divide both sides by a negative value.
When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.
Example- x + 3 <= 10
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.
The solution set of an inequality is the set of all solutions.
The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.
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What is the answers for 9 and 11?
The total amount in the bank after the specific number of years is;
9. $476. 1
11. $7, 128. 8
How to determine the amountThe formula for calculating simple interest is expressed as;
I = PRT/100
Where;
I is the simple interestP is the principal amountR is the interest rateT is the time takenFrom the information given, we have that;
9.Principal amount = $450
Interest rate = 1.45
Time = 5
Substitute the values into the formula
SImple interest = $450 ×1. 45× 5/100
Multiply the values, we get;
Simple interest, I = 2610/100
Divide through
Simple interest = $26. 1
Total amount = $450 + $26.1 = $476. 1
11. Principal amount = $5600
Interest rate = 3.9
Time = 7 years
Substitute the values
Simple interest = $5600× 3. 9 × 7/100
Multiply the values
Simple interest = 152,880/100
Simple interest = $1528. 8
Total amount = $7, 128. 8
Hence, the values are $476. 1 and $7, 128. 8
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on the main floor of the Kodak halll at the easement they're the number of seats per row increase at a constant rate Steven counts 31 Seaton Rd. three and 37 Seaton Rd. six how many seats are there in a row 20
65 seats in 20th row.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. It is represented by the proportional symbol, ∝. In fact, the same symbol is used to represent inversely proportional, the matter of the fact that the other quantity is inverted here.
Given,
No. of seats in 3rd row = 31
No. of seats in 6th row = 37
Seats increase at a constant rate
Let k is the rate of increment.
Difference between no. of seats = k × difference between no. of rows
Difference of seats in 3rd and 6th rows = k difference between the no. of rows
37 - 31 = k ×(6-3)
6 = 3k
k = 2
Thus, we can determine
Difference between the no. of seats is twice the difference between the no. of rows.
Difference between 6th and 20th row = 14 rows
Hence the difference between number of seats = 2 × 14 = 28 seats.
No. of seats in 20th row = No. of seats in 6th row + 28 seats
No. of seats in 20th row = 37 + 28 = 65
Hence, there will be 65 seats in 20th row.
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Solve for x.
x2=14
Responses
x=±18
x equals plus or minus 1 eighth
x=±12
x equals plus or minus 1 half
x=±116
x equals plus or minus 1 sixteenth
x=±2
The solution for x in the equation given as x² = 1/4 is (b) x = ±1/2
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
An equation
The equation as poorly stated in the question is represented as
x2=14
When written properly
We have the following representation
x² = 1/4
Solving further, we need to take the square root of both sides of the equation
So, we have the following representation
√x² = ±√1/4
Evaluate the exponents on the left-hand side
So, we have the following representation
x = ±√1/4
Evaluate the exponents on the right-hand side
So, we have the following representation
x = ±1/2
Hence, the solution is (b) x = ±1/2
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Is 9x2 42x 49 a perfect square trinomial?
No, 9x2 42x 49 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,
where a and b are numbers or variables.
9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.
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What is the volume of a hemisphere with a diameter of 30.3 ft, rounded to the
nearest tenth of a cubic foot?
Answer: its is 300 hope this helps Pls give me brainly
Step-by-step explanation: Remember that the tens place is two moves from the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.
Solution steps:
Step 1: Locate and underline the ten place (0) and look to the right (3):
303
Step 2: The digit to the right (3) is 4 or below. So, we replace it by a 0 (zero), then we get 300 as the answer.
In short: 303 rounded to the nearest ten is 300.
What happens when a function tries to assign or change a value of a variable that has been defined at the module level
When Python constructs a function, it also generates a temporary variable with the same name, and only the function can access the value of that variable.
What is Using a temporary variable?Using a temp variable is the quickest and easiest way to switch the values of two variables. Using the formula temp = a, the first variable's value is stored in the temp variables. By doing this, you can change the values of the two variables so that a = b before assigning the value of temp to the second variable.Tuple packing and sequence unpacking are two additional methods for changing the values of two variables without the usage of a temporary variable. Using commas to divide up the pieces in a tuple is one method of creating a tuple. Additionally, Python examines a task's right side before its left. As a result, the variables are packed into a tuple on the right side of the statement by using commas to separate them, and they are unpacked on the left side using the same number of target variables separated by commas.As long as the statement has the same number of variables on both sides as there are variables, this approach of variable swapping and permutation can be applied to more than two variables.To Learn more About temporary variable Refer To:
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If dexter had 20 cookies and ate 6 cookies what is the percentage of the remaining cookies ?
Answer:
70%
Step-by-step explanation:
20-6=14.
14/20=0.7
0.7=70%
(tip, multiply the decimal by 100 to find percents. 0.7×100=70