One year of classes at the University of Texas in Brownsville costs $15,000. Mariano has received a grant that will pay $800 and a scholarship for $1,700. He wants to get a job to pay 20% of the remainder of the costs and hopes to get a loan to cover the rest of the costs for one year.
How much does he need to earn on his job? (Hint: 20% of the remaining balance)
The amount Mariano must make from his job is
$2,500 ($12,500 * 0.2) = $2500.
A number can be divided by five or multiplied by 0.2 to determine 20% of that amount.
Mariano, for instance, would have to pay $12,500 ($15,000 - $800 - $1,700)
if he had to pay $15,000 for a year of classes at the University of Texas at Brownsville but had also been awarded a grant for $800 and a scholarship for $1,700.
We can divide $12,500 by 5 or multiply it by 0.2 to calculate how much he must make from his employment to cover 20% of the remaining expenses.
The amount Mariano must make from his job is
$2,500 ($12,500 * 0.2) = $2500.
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Mason's mother wants to make 8 curtains that each require 2 1/5 metres of material in a standard width, but she only has 16-metres of material. There are to be no seams in her curtains. She asks Mason to buy more material.
a. How much more material must Mason buy?
B. How much material is left over?
Answer:mason must need 33.6 m of materail to make 8 curtains.
so he need to 17.6m of material
Step-by-step explanation:
sean makes 225 a week with a standard deviation of 35, evan makes 240 with a standard deviation of 15, what is the probability that's sean will make more than evan on a randomly selected week?
The probability that Sean will make more than Evan on a randomly selected week is approximately 0.3446 or 34.46%.
To calculate the probability that Sean will make more than Evan in a randomly selected week, we need to compare their incomes in terms of standard deviations from the mean.
First, we need to calculate the difference between their means:
Mean difference = Sean's mean income - Evan's mean income = $225 - $240 = -$15
Next, we need to calculate the standard deviation of the difference between their incomes:
Standard deviation of difference = √[(Sean's standard deviation)^2 + (Evan's standard deviation)^2] = √[(35)^2 + (15)^2] = 37.42
Now, we can use a z-score table to find the probability that Sean's income will be higher than Evan's income:
Z-score = (Sean's income - Evan's income - Mean difference) / Standard deviation of difference = (225 - 240 - (-15)) / 37.42 = 0.40
From the z-score table, we find that the probability of a z-score of 0.40 or higher is 0.3446.
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The letters a and b represent nonzero constants. Solve ax+b=53 for x.
The solution to x=
Please hurry
Answer:
the solution for x is (53 - b)/a.
A toy rocket is shot vertically into the air from a launching pad 4feet above the ground with an initial velocity 96of feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function h=-16t^2+96+4 . How long will it take the rocket to reach its maximum height? What is the maximum height?
Question content area bottom
Part 1
The rocket will reach its maximum height ? after launch
(Simplify your answer.)
Part 2
The maximum height reached by the object is ?
(Simplify your answer.)
Step-by-step explanation:
Height = - 16 t^2 + 96 t + 4
max will occur at t = - b/2a = - 96/(2*-16) = 3 seconds
The max height at t = 3
Height = -16 (3^2) + 96 (3) + 4 = 148 ft
What is the area of a triangle whose sides have length $\sqrt{70},$ $\sqrt{70},$ and $\sqrt{28}$?
The area of a triangle whose sides have lengths √70,√70,√and 28 is 10.45.
What is the area of the triangle?
A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The area of the triangle is defined as the product of half the base and the height of the triangle.
The area of the triangle = (0.5)x b x h
Length of its base = b units
Its height = h units long,
Given;
The sides of the triangle √70,√70,√28
Now,
H²=70-28/4
H²=70-7
H=7.9
[tex]Area= b *\frac{ h}{2}[/tex]
[tex]=\sqrt{28}\frac{7.9}{2}[/tex]
=10.45
Therefore, the area of the triangle will be 10.45.
The complete question is-
What is the area of a triangle whose sides have length √{70},√{70}, and √{28} ?
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Emily buys a shirt that originally costs $54. The price is marked down by 15% due to a sale, but Emily has a coupon for an additional 10%. How much did Emily pay for the shirt?
Emily has to pay $41.31 for the shirt after adding coupon and discount.
How to find the Cost Price (CP) of any discounted item?
Lets say CP = 54 and the discount is of 15% i.e. marked price
So, Marked Price= 85% of CP = 45.9
Lets apply the additional coupon of 10% on Marked Price.
Therefore, the payment amount = 90% of MP
payment amount = $41.31
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PLEASE HELP I NEED THIS ASAP!!!
identify any outliners in the graph
Answer:
The outlier in this graph is (4, 55)
Step-by-step explanation:
Outliers can be seen graphically when we first draw a line of best fit. When we draw the line of best fit it connects through the middle of the string of points near the top of our graph. We can see that any given point on the graph is either on the line of best fit or very close to it. This can be said about all points but one... the point (4,55). This point lies far away from the line we've created and can be identified as an outlier for this reason.
A boat is heading towards a lighthouse, where
Jeriel is watching from a vertical distance of 113
feet above the water. Jeriel measures an angle of
depression to the boat at point A to be 8°. At
some later time, Jeriel takes another
measurement and finds the angle of depression
to the boat (now at point B) to be 52°. Find the
distance from point A to point B. Round your
answer to the nearest tenth of a foot if necessary.
2.quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used? construct a control chart with 3-sigma control limits.
The type of control chart should be used here is equals to C-chart. So, the right answer is option (c). The upper and lower control limits are 10 and 0 respectively.
We have a quality style manufactures self-assembling furniture.
Average Defect rate = 4 per day
Now, here we are checking the number of defective packages per day which is independent day to day and have a mean or average of 4 per day. So, we use here the C- chart one of type of control chart. Also, we have to draw control chart with 3-sigma control limits. Average defect Rate, c' = 4
We determine the control limits,
CL = 3 ( 3-sigma )
The upper control limit , UCL = c' + 3 √c'
= 4 + 3 √4 = 10
The lower limit, LCL= max ( 0, c' - 3 √c')
c' - 3 √c' = 4 - 3√4 = -2, as it is less than zero, So, lower control limit, LCL= 0.00.
The construction of control chart always consists,
First, we have to determine the mean of the observed data.Secondly, we have to determine the variance of the set.Third, calculate the standard deviation, which means the square root of the variance.Fourth, we have to determine the three-sigma, which means three standard deviations above the mean. a central line for the average, an upper line for the upper control limit, and a lower line for the lower control limit.For more information about Control chart , refer :
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Complete question:
quality style manufactures self-assembling furniture. to reduce the cost of returned orders, the manager of its quality control department inspects the final packages each day using randomly selected samples. the defects include wrong parts, missing connection parts, parts with apparent painting problems, and parts with rough surfaces. the average defect rate is four per day. owhich type of control chart should be used?
i) R chart
ii) p chart
iii) c chart
construct a control chart with 3-sigma control limits.
URGENT
Find the length of side x in simplest radical form with a rational denominator.
value of side x in the triangle is 6 ( simplest radical form with a rational denominator is 6/1).
Define right triangleA right triangle is a triangle that has one angle measuring 90 degrees, which is also called a right angle. The hypotenuse is the side that faces the right angle, while the legs are the other two sides.
Define trigonomteric functionTrigonometric functions are a set of mathematical functions used to relate the angles and sides of a right triangle. Sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent are the six fundamental trigonometric functions (cot).
In the given right angles triangle
Using trigonomteric function
Tan30°=√12/x
1/√3=√12/x
x=√12×√3
x=√36
x=6
Hence, value of side x in the triangle is 6.
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Find the distance between the points and given below.
(That is, find the length of the segment connecting and .)
Round your answer to the nearest hundredth.
Answer:
AB = 6.71 to nearest hundredth.
Step-by-step explanation:
To get from A to B we move 3 units to the right then 6 units up.
This form a right angled triangle so we use Pythagoras theorem:
AB^2 = 3^2 + 6^2
= 9 + 36
= 45
So AB = √45
= 3√5 = 6.7082
P(-11, -24) Q (21, 40)
Find the slope
Answer:
To find the slope between two points (x1, y1) and (x2, y2), we use the formula:
slope = (y2 - y1) / (x2 - x1)
Using the given points P(-11, -24) and Q(21, 40), we can substitute the values into the formula:
slope = (40 - (-24)) / (21 - (-11))
slope = 64 / 32
slope = 2Therefore, the slope between points P(-11, -24) and Q(21, 40) is 2.
Answer:
2
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 40 - -24)/(21 - -11)
= ( 40+24)/(21+11)
= 64/32
= 2
solve this problem pleasee
The measure of following values for the given circle is:
Sector AE = (2/3)π square units
Sector AB = (10/9)π square units
Sector ECB = (1/3)π square units
Angle BOC = 160 degrees
What is circle?In geometry, a circle is a two-dimensional shape that is defined as the set of all points in a plane that are equidistant from a given point called the center. The distance from the center to any point on the circle is called the radius of the circle.
Here,
Sector AE:
The central angle of 60 degrees represents one-sixth (60/360) of the circle, so the sector AE has an area of one-sixth of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector AE is:
(1/6) x 4π = (2/3)π square units
Sector AB:
The central angle of 50 degrees represents 5/18 (50/360) of the circle, so the sector AB has an area of 5/18 of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector AB is:
(5/18) x 4π = (10/9)π square units
Sector ECB:
Since angles EOC and BOC are complementary (they add up to 90 degrees), the central angles they subtend are also complementary. Therefore, the central angle of sector ECB is 90 - 60 = 30 degrees. This represents one-twelfth (30/360) of the circle, so the sector ECB has an area of one-twelfth of the total area of the circle. The area of the circle is πr² = 4π square units, so the area of sector ECB is:
(1/12) x 4π = (1/3)π square units
Angle BOC:
Since angles AOB and COE are both right angles (as they subtend diameters of the circle), we know that angle AOC is 90 degrees. Therefore, angle BOC is:
360 - 90 - 60 - 50 = 160 degrees
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suppose George has three pieces of wood to use for a triangular frame for his art piece the pieces of wood have length of 16 inch 14 inch 30-in can George use these pieces of wood to make a triangular frame
The given wood length does not satisfied the property of triangle through which it unable to create a triangle.
What about length of triangle?
The length of a triangle depends on the specific triangle you are referring to and the measurements of its sides. A triangle is a three-sided polygon, and its length is typically measured as the length of its sides.
There are different types of triangles based on their side lengths, such as equilateral triangles with three equal sides, isosceles triangles with two equal sides, and scalene triangles with no equal sides. The length of each side in these triangles can be determined using various methods, such as the Pythagorean theorem, the Law of Cosines, or trigonometric functions.
Define triangle property:
A triangle is a polygon with three sides and three angles. The properties of a triangle include:
Three sides: A triangle has three sides that can have different lengths.Three angles: A triangle has three angles that add up to 180 degrees.Interior angles: The interior angles of a triangle can be acute (less than 90 degrees), right (exactly 90 degrees), or obtuse (greater than 90 degrees).Exterior angles: The exterior angles of a triangle are formed by extending one of the sides of the triangle and measuring the angle between it and the adjacent side. The sum of the measures of the exterior angles of a triangle is always 360 degrees.According to the given information:
As, we know the property of triangle that sum of two side always greater than third side of the triangle. But when add 16 inch and 14 inch we get 30 inch as a result that is same length of the third side.
Hence, it is not greater than third side so, through the given length we can't create a triangle.
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Can someone help me ASAP it’s due tomorrow. I will give brainliest if it’s all done correctly.
The first, second, and third one.
Pleaseee Help Meeeeeeeeeee
"if You don't Know the Answer DON'T ANSWER THE QUESTION."
(If you Answer the question and You don't Know it, It takes away From someone else being able to Answer it and Give me the Correct Answer.)
PS. IT'S MULTIPLE CHOICE, WHICH MEANS IT'S MORE THAN ONE ANSWER. PLEASE DO NOT RESPOND TO THE QUESTION- IF YOU DON'T HAVE MORE THAN ONE ANSWER.
PLEASE AND THANK YOU,
s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)
constant of variation:
direct variation equation:
when s=16, t=
Direct variation equation relating s and t as: S = 0.5t and t=32 when s=16.
What is direct variation equation?
A direct variation equation is a mathematical equation that describes a relationship between two variables that varies proportionally. In other words, if one variable increases or decreases, the other variable also increases or decreases in proportion to it.
Given, S varies directly as t, and S = 8 when t = 16.
Let's find the constant of variation (k) using the given information:
k = S/t = 8/16 = 0.5
So, the constant of variation is 0.5.
Using the constant of variation, we can write a direct variation equation relating s and t as:
S = kt
Substituting k = 0.5 in the above equation, we get:
S = 0.5t
When S = 16, we can find t as follows:
16 = 0.5t
t = 16/0.5
t = 32
Therefore, when S = 16, t = 32.
Therefore, direct variation equation relating s and t as: S = 0.5t and t=32 when s=16.
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Multiply
28845by 6502
Answer:
187,550,190
Step-by-step explanation:
Need help with Algebra I
The area of triangle in given figure is = 60 cm²
What do you mean by Triangle ?A triangle is a three-sided polygon that is formed by connecting three non-collinear points in a plane.The sum of the interior angles of a triangle is always 180 degrees, and the length of each side can be determined by the application of the Pythagorean theorem or other trigonometric functions, depending on the given information. Triangles can also be classified based on the size of their angles and the lengths of their sides, which give rise to various types of triangle such as equilateral, isosceles, scalene, acute, right, and obtuse triangles.
According to quesrtion
Given height = 3cm
Base = 10cm
if the height is quadrupled then height = 4 × 3 = 12cm
Area = 1/2 × base × height
= 1/2 × 70 × 12
to solve this we get
Area = 60cm²
So, the area of this triangle is 60cm²
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simplify. (write each expression without using the absolute value symbol)
|x+3| if x>2
To given expression |x + 3| simplifies solution is x + 3.
What is expression?
In mathematics, an expression is a combination of symbols, numbers, and operators that represent a quantity or a mathematical relationship. It can be a single number or a combination of numbers, variables, and operators that can be evaluated to give a numerical result.
If x > 2, then the expression |x + 3| can be simplified as follows:
|x + 3| = x + 3
since x + 3 is already non-negative when x > 2.
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what is the precent of change from 22 to 26
Answer: 15.4% (rounded to the nearest tenth)
Step-by-step explanation:
What is and equation of the line that passes through the points ( − 4 , − 6 ) and (8,−6)
Answer: y= -6
Step-by-step explanation: use the slope formula and slope intercept; y=mx+b
30 points to whoever solves
Answer: 24,500 ways
Step-by-step explanation:
The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70. Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.
To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.
Therefore, the total number of ways to select the full meal is given:
70 x 10 x 35 = 24,500
Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.
Answer:
Step-by-step explanation:
The number of ways to select 4 appetizers out of 8 is given by the combination C(8,4) = 70.
Similarly, the number of ways to select 3 main courses out of 5 is given by C(5,3) = 10, and the number of ways to select 3 desserts out of 7 is given by C(7,3) = 35.
To find the total number of ways to select the full meal consisting of 4 appetizers, 3 main courses, and 3 desserts, we can use the multiplication principle of counting, which states that the total number of ways to perform a sequence of independent tasks is equal to the product of the number of ways to perform each individual task.
Therefore, the total number of ways to select the full meal is given:70 x 10 x 35 = 24,500.
Hence, there are 24,500 ways to select 4 appetizers, 3 main courses, and 3 desserts from the given options.
Can someone please HELP ME with this problem!!!!! I need HELP ASAP!!! RIGHT NOW!!!
The population of bacteria after I days is P(I) = 3700 * e^(0.11 * I) and percentage rate of change per hour is 0.4285%
What is exponential growth?
Exponential growth is a pattern of data that shows greater increases with passing time, creating the curve of an exponential function.
Equation:The population of bacteria in the petri dish is growing exponentially at a rate of 11% per day. This means that the daily growth rate r is 0.11, or 11/100.
The formula for exponential growth is:
P(t) = P0 * e^(rt)
Where:
P(t) is the population after t days
P0 is the initial population
r is the growth rate per day
e is the mathematical constant approximately equal to 2.71828
Using the given information, we have:
P0 = 3700
r = 0.11
So, the formula for the population of bacteria after I days is:
P(I) = 3700 * e^(0.11 * I)
To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. There are 24 hours in a day, so the hourly growth rate h is:
h = (1 + r)^(1/24) - 1
Substituting the value of r, we get:
h = (1 + 0.11)^(1/24) - 1
Simplifying this expression, we get:
h = 0.004285
So, the hourly growth rate is 0.4285%, or 0.004285 expressed as a decimal.
Therefore, the population of bacteria after I days is:
P(I) = 3700 * e^(0.11 * I)
And the percentage rate of change per hour is:
0.4285% (rounded to the nearest hundredth of a percent)
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The percentage rate of change per hour is approximately 0.46%.
How to calculate percentage?
The formula for exponential growth is:
N(t) = N0 * e raise to the power (r*t)
where:
N(t) is the population at time t
N0 is the initial population
r is the growth rate
e is the mathematical constant approximately equal to 2.71828
t is the time elapsed
In this case, we have:
N0 = 3700
r = 11% per day, or 0.11/24 = 0.0045833 per hour (since there are 24 hours in a day)
t is the time elapsed in days
To convert the time elapsed in days to hours, we can multiply t by 24. Therefore, the function for the population of bacteria after t days is:
f(t) = 3700 * e raise to the power (0.004583324t)
To round the coefficients in the function to four decimal places, we can use the round() function in Python:
f(t) = round(3700 * e**(0.004583324t), 4)
To determine the percentage rate of change per hour, we can calculate the percentage increase in the population per hour using the formula:
Percentage increase = (e raise to the power (r*h) - 1) * 100
where:
r is the growth rate per day
h is the time elapsed in hours
In this case, we have:
r = 11% per day, or 0.11/24 = 0.0045833 per hour
h = 1 hour
Plugging these values into the formula, we get:
Percentage increase = (e raise to the power (0.0045833*1) - 1) * 100 = 0.4646%
Therefore, the percentage rate of change per hour is approximately 0.46%.
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Which Number should be added to both sides of this quadratic equation to complete the square?
The number which could be added to both sides of the quadratic equation to complete the square is; -2.25.
What in mathematics is a quadratic equation?
ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complicated solutions are also possible.
The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;
1 - 2.25 = (x -3/2)² - 2.25
Hence, the number which should be added to both sides of the equation is; -2.25.
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A school has 800 students. The staff plans to order a bag for each student. They ask 120 randomly selected students which color bag they prefer. Based on this sample, how many bags of each color should the staff order? Show your work.
Blue 48
Black 54
Gray 18
Answer:
Therefore, the staff should order 320 blue bags, 360 black bags, and 120 gray bags.
Step-by-step explanation:
To determine how many bags of each color to order, we need to estimate the proportion of students who prefer each color based on the sample of 120 students. We can then use these proportions to predict the number of bags of each color needed for all 800 students. Here's how we can do it:
Determine the number of students in the sample who prefer each color:
Let B be the number of students who prefer blue
Let K be the number of students who prefer black
Let G be the number of students who prefer gray
Based on the sample of 120 students, we know:
B + K + G = 120
Estimate the proportion of students who prefer each color:
The proportion of students who prefer each color in the sample is:
p(B) = B/120
p(K) = K/120
p(G) = G/120
Predict the number of bags of each color needed for all 800 students:
The predicted number of bags of each color needed for all 800 students is:
Bags of blue = p(B) * 800
Bags of black = p(K) * 800
Bags of gray = p(G) * 800
So, using the sample results, we get:
Bags of blue = (48/120) * 800 = 320
Bags of black = (54/120) * 800 = 360
Bags of gray = (18/120) * 800 = 120
(y+4)^2 * (y-4)^2
Pls help, will mark brainliest
(Use factoring)
Answer:
Step-by-step explanation:
6 - (5 divided by a)^3 + 8 a=5
Answer:
13
Step-by-step explanation:
Evaluate the expression:
[tex]6-(5 \div a)^3 +8[/tex]
a = 5, plug in the value
[tex]6-(5\div 5)^3 + 8[/tex]
Divide in parentheses
[tex]6-1^3+8[/tex]
1^3 = 1, then subtract 6 and 1
[tex]5+8[/tex]
Add
[tex]13[/tex]
Please help me with these two questions this is due today