What is the area of trapezoid ABCD?



Enter your answer as a decimal or whole number in the box. Do not round at any steps.

units²

Answer:

regular price is $22.50

Step-by-step explanation: 22.50*.20=4.5 (discount)

9514 1404 393

Answer:

  x = -7/2  is not in the domain

Step-by-step explanation:

The numbers that must be excluded from the domain are the ones that make the function be undefined. That is, any value of x that makes the denominator zero will be excluded from the domain.

  2x +7 = 0

  2x = -7

  x = -7/2 . . . . . must be excluded

The only number not in the domain is x = -3.5.

Answer:

Brianna is right. The quotient is in the hundreds place ,because the first digit is 2 spaces to the left from the comma/period ,thus we know it's a hundred

Answer:

Part A

The Quadratic Function to model the total number of bricks the stack is f(x) = x²

Part B

The number of bricks we will have for 50 rows is 2500 bricks

Step-by-step explanation:

Part A

Let the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = a·x² + b·x + c

We have;

When x = 0, f(x) = 0, therefore, f(0) = a×0² + b×0 + c = 0 + 0 + c = 0

∴ c = 0

When x = 1, f(x) = 1, therefore, f(1) = a×1² + b×1 + 0 = 1

∴ a + b = 1...(1)

When x = 2, f(x) = 4, therefore, f(2) = a×2² + b×2  = 4

∴ 4·a + 2·b = 4...(2)

Multiply equation (1) by 2, and subtract it from equation (2) gives;

4·a + 2·b - 2×(a + b) = 4 - 2 × 1

2·a = 2

a = 1

From equation (1), we have;

b = 1 - a = 1 - 1 = 0

b = 0

∴ f(x) = a·x² + b·x + c = 1·x² + 0·x + 0 = x²

Therefore, the Quadratic Function to model the total number of bricks the stack, f(x), where x is the number of rows be f(x) = x²

Part B

If there are 50 rows in the stack, then we have, x = 50

Therefore;

f(50) = 50² = 2500

The number of bricks we will have for 50 rows is f(50) = 2500 bricks

Answer:

Perimeter = 18

Step-by-step explanation:

P=2(l+w)=2·(7+2)=18cm

Answer:

slope is -1/12

Step-by-step explanation:

slope =y2 - y1 / x2-x1

Answer:

Both

Step-by-step explanation:

both???????????????????????????

Answer:

The answer is B

Step-by-step explanation:

a1 = -8

a2 = -8 * 2.5

a3 = -8 * 2.5 * 2.5

a4 = -8 * 2.5^3

an = -8 * 2.5^(n - 1)

The first term is -8. Each subsequent term is 5/2 times the previous term.

answer: 4

explanation: it would be 4 because slope is rise/run and it rises 4 and runs one so u would get 4/1 which is 4 simplified. :)

Answer:

Slope: 4

Step-by-step explanation:

The slope is 4, because each time x is increased by 1 y is increased by 4.

The rise would be 4 and the run would be 1.

Since the slope of a graph can be found by dividing rise by run, the slope would be 4/1, which is equal to 4.

Answer:

-2a-6a=15+9

-8a=24

a=24/-8

a=-3

Answer:

a=-3

Step-by-step explanation:

-2a-6a=15+9

-8a=24

a=-3

Answer:

25/4, I believe

Step-by-step explanation:

the rate of change of y with respect to x is 25/4

Answer:

its y=5x-3

find the y intercept first and the ide over run for slope

Answer:

5 dollars left

Step-by-step explanation:

4 x 5 is 20

then 20-15 is 5

hope this helps luv

Answer:

Step-by-step explanation:

Given

Reflection over y-axis results in same y-coordinate and opposite x-coordinate

Answer:

y=3/4x+5

Step-by-step explanation:

Well to begin with make the slope perpendicular so so far we have y=3/4x but than it needs to go through that point so we input the X in that point into our current equation to get y=-3 but we need to make it y=2 so we change our equation to y=3/4x+5 and that is your equation  

Given:

The equation is

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]

To find:

The solutions of given equation over the interval [tex][0,2\pi][/tex].

Solution:

We have,

The equation is

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}[/tex]

[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})[/tex]

If [tex]\sin x=\sin y[/tex], then [tex]x=n\pi +(-1)^ny[/tex].

Over the interval [tex][0,2\pi][/tex].

[tex]x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}[/tex] and [tex]x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}[/tex]

[tex]x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}[/tex] and [tex]x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}[/tex]

[tex]x=\dfrac{22\pi-21\pi }{6}[/tex] and [tex]x=\dfrac{32\pi-21\pi }{6}[/tex]

[tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex]

Therefore, the two solutions are tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex].

Answer:

C. π/6 & 11π/6

Step-by-step explanation:

If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.

Answer:

Step-by-step explanation:

5:2

Answer:

1/4

Step-by-step explanation:

Ratio of circle to the triangle=2/8

=1/4

So 1/4 is the answer

Answer:

1200

Step-by-step explanation:

(6.4 x 103) + (5.2 x 104)

659.2+540.8

1200

So 1200 is the answer

Answer:

1200

Step-by-step explanation:

[tex](6.4 *103) + (5.2 * 104)[/tex]

[tex]6.4*103=659.2[/tex]

[tex]5.2*104=540.8[/tex]

[tex]659.2 + 540.8[/tex]

[tex]=1200[/tex]

[tex](6.4 *103) + (5.2 * 104) = 1200[/tex]

Answer: y=2x+1       sjsjrhrhfhhhxhh

Answer: its y=-2x-1

Step-by-step explanation:

Answer:

a=11

Step-by-step explanation:

Add all expressions to equal 180. (a+20+12a-14+a+20=180)

Combine like terms and solve

You'll get a=11

Answer:the photo is for part A.

B) the weight would be Invnorm(.25,77,6)=72.95

C)the weight would be 81.04 but this is the work invnorm(.75,77,6)=81.04

D)IQR=Q3-Q1

81.04-72.95=8.09

E)9.12 is the answer the work normalcdf(85,1000,77,6)=.0912

F).6892 or 68.92% are the answers the work normalcdf(60,80,77,6)=.6892

G).0227 or 2.27% is the answer and the work normalcdf(0,65,77,6)=.0227

Step-by-step explanation:

Using the normal distribution, we have that:

----------------------

Problems of normal distribution can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

----------------------

----------------------

Item b:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.675 = \frac{X - 77}{6}[/tex]

[tex]X - 77 = -0.675(6)[/tex]

[tex]X = 72.95[/tex]

A weight of 72.95 pounds would represent the 25th percentile.

----------------------

Item c:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.675 = \frac{X - 77}{6}[/tex]

[tex]X - 77 = 0.675(6)[/tex]

[tex]X = 81.05[/tex]

A weight of 81.05 pounds would represent the 75th percentile.

----------------------

Item d:

The interquartile range is the difference between the 75th and the 25 percentile, thus:

[tex]81.05 - 72.95 = 8.1[/tex]

The interquartile range is of 8.1 pounds.

----------------------

Item e:

The proportion is 1 subtracted by the p-value of Z when X = 85, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{85 - 77}{6}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a p-value of 0.9082.

1 - 0.9082 = 0.0918.

0.0918 = 9.18% of male adult Labrador retrievers weigh above 85 pounds.

----------------------

Item f:

The proportion is the p-value of Z when X = 80 subtracted by the p-value of Z when X = 60, thus:

X = 80:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 77}{6}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

X = 60:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 77}{6}[/tex]

[tex]Z = -2.83[/tex]

[tex]Z = -2.83[/tex] has a p-value of 0.0023.

0.6915 - 0.0023 = 0.6892.

0.6892 = 68.92% of male adult Labrador retrievers weigh between 60 and 80 pounds.

----------------------

Item g:

This proportion is the p-value of Z when X = 65, thus:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{65 - 77}{6}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.0228 = 2.28% of male adult Labrador retrievers weigh less than 65 pounds.

A similar problem is given at https://brainly.com/question/21628677

Answer:

Step-by-step explanation:

The Low-Income Housing Tax Credit provides a tax incentive to construct or rehabilitate affordable rental housing for low-income households.

Answer:

1) 44 2) 136 4) 44 5) 44 6) 136 7) 136 8)44

Step-by-step explanation:

You find the small angle by doing 180-136 = 44 then you can reflect over the line and because the bottom lines are parallel they are the same for 5 6 7 and 8

Answer:

Sorry but thats too cunfusing for me sorry I couldn't help

Step-by-step explanation:

best of luck

Answer:

i think it might be d

Step-by-step explanation:

Answer:

there are two answers to this question

1; X=2

and

2;X=+1

Step-by-step explanation:

open the first brackets with an invisible +1

x-1=0

x=0+1

X=+1

open the second bracket with the plus +

x-2=0

X=0+2

X=+2

hence,

X=+1 and +2

what is the question that you need help with

Answer:

8.6

Step-by-step explanation: