Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]

Answer:

B. 588 inches cubed.

Step-by-step explanation:

the pyramid base with 2inch height = 392 - 14 x 14 = 196 = 392-196 = 196

the pyramid with 9 inch height = 588.25 = 14 x 14 = 196 the adjoined upper base.

= 588.25 - 196 = 392.25 + 196 = 588^3  (inches cubed ) we only needed one base structure

We check the slant = (1/2)base = 7 then divide 392.25/7 = 56.0357142857/4

Then divide by 4 = 56.0357142857/4 = 14 and we know the slant is also 14.

We can find the isosceles central height and know it will be the smaller measure as it always is, using 14^2 - 7^2 = a^2

= 196sr - 49sr = 47sr

a^2 = √47 = 6.8556546004

So we know the diagram isn't to scale.

The equation of a rectangle pyramid =

A=lw+√l (w2)

2+√ 2+w

(l2)2+√ h2

The base is l*w*h - l*l = 392-196

or l*w + 4* h*w =196

The total volume of air inside the skylight is 980 inches cubed. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The volume of the rectangular pyramid is (1/3) × base area × height = (1/3) × 14² × 9 = 588 cubic inches.

The volume of the rectangular prism is length × width × height = 14 × 14 × 2 = 392 cubic inches.

The total volume of air inside the skylight is the sum of the volumes of the pyramid and prism, which is 588 + 392 = 980 cubic inches.

Therefore, the answer is (D) 588 inches cubed.

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Answer:

84

Step-by-step explanation:

We can represent the money Emily has as x, and the money Juan as j.

x  = j + 19

Substituting 65 for j we get

x = 65 + 19

x = 84

Answer:

n - 5 = 28

Step-by-step explanation:

The number is n.

5 less than the number is n - 5.

5 less than the number is 28

n - 5 = 28

Answer:

25:53

Step-by-step explanation:

75:159 have a common factor of 3

75/3=25

159/3=53

Answer:

16x² + 24x + 9

Step-by-step explanation:

16x² + 24x + 9 =(4x)²+2*4x*3 + 3² = (4x +3)²

Answer:

b<1            b>0

Step-by-step explanation:

7b<7

b<1

7b>0

b>0

Answer:

15

Step-by-step explanation:

Look at the attachment

Solve the following equation : 2x+3x= 40

then, multiply the value of "x" by 2.

Hope it helps

Answer:

s = 5/4 pi

Step-by-step explanation:

A = 25π cm2

Theta = pi/4

A = pi r^2 = 25 pi

Divide each side by pi

r^2 = 25

Taking the square root of each side

sqrt(r^2) = sqrt(25)

r = 5

The arc length is

s = r  * theta where theta is in radians

s = 5 * pi/4

s = 5/4 pi

Answer:

(0,0) (2,4) (-2,-4)

Step-by-step explanation:

Answer:

they are both money

Step-by-step explanation:

that's why they relate, they're both currency

Answer:

B

Step-by-step explanation:

I took the quiz

Answer:

Step-by-step explanation:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=6\left(4\right)^{1-1}+6\left(4\right)^{2-1}+6\left(4\right)^{3-1}+6\left(4\right)^{4-1}+6\left(4\right)^{5-1}=\\\\\\=6\cdot4^0+6\cdot4^1+6\cdot4^2+6\cdot4^3+6\cdot4^4=6+24+96+384+1536=\\\\=2,046[/tex]

or:

is geometric series:  [tex]S_n=\dfrac{a_1(1-q^n)}{1-q}[/tex]

[tex]a_n=a_1\cdot q^{n-1}\quad\implies\quad\begin{cases}a_1=6\\q=4\\n=5\end{cases}[/tex]

so:

[tex]\sum\limits_{k=1}^{5}6\left(4\right)^{k-1}=S_5=\dfrac{6(1-4^5)}{1-4}=\dfrac{6(1-1,024)}{-3}=-2(-1,023)=2,046[/tex]

Answer:

B

Step-by-step explanation:

Edge2021

Answer:

a) 46

Step-by-step explanation:

The total degrees of a straight line is 180, so if the angle on the other side of y is 134, then you subtract 180-134, to know the y value

180-134=46

Answer:

2nd, 3rd and the last one

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

Answer:6.3 in.

Step-by-step explanation:

Given

Radius of sphere [tex]r=4\ cm[/tex]

When ball is immersed in beaker, it causes the water to flowout of beaker which is collected in the conical vessel

Such that amount of water equivalent to sphere volume is collected in it.

volume of ball

[tex]V_s=\frac{4\pi }{3}r^3[/tex]

[tex]V_s=\frac{4\pi }{3}\times 4^3[/tex]

[tex]V_s=\frac{256\pi }{3}\ cm^3[/tex]

Now volume of water collected is in shape of cone then volume of cone

[tex]V_c=\frac{\pi }{3}r^2h[/tex]

and [tex]V_s=V_c[/tex]

[tex]\frac{256\pi }{3}=\frac{\pi }{3}(4)^2\times h\ quad [\text{h=height of cone formed}][/tex]

[tex]h=4^2=16\ cm\approx 6.29\approx 6.3\ in.[/tex]

Answer:

for 1 its -0.25 and 1.25

for 2 its -0.5. and 1.5

Step-by-step explanation:

idk if there is,  but just use the graph + common sense.

you don't need to solve it in any way

Answer:

The median weight for shelter A is greater than that for shelter B.

The data for shelter B are a symmetric data set.

The interquartile range of shelter A is greater than the interquartile range of shelter B.

Answer:

y= 3/4x-2

Step-by-step explanation:

y2-y1/x2-x1

7-1/12-4

m=6/8

m=3/4

now solve for b (y-intercept)

plug in any y or x from any point

7=3/4(12)+b

7=36/4+b

7=9+b

7=9+b

subtract nine on both sides

-2=b

thats how u get ur equation

Answer:

A

Step-by-step explanation:

took it on ap ex

The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

We have to given that;

The graphed function are shown in figure.

Now, All the points on the graph are,

⇒ (- 2, - 10) , (- 1, - 3) , (0, - 2) , (1, - 1) , (2, 6)

Hence, The correct ordered pairs which are found on the inverse function are,

⇒ (-10, -2), (-3, -1), (-2, 0),(-1, 1), (6, 2)

Thus, ''Option A'' is true.

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Answer: Mary is cheaper than mike

Step-by-step explanation:

Hopes this Helps

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Step-by-step explanation:

|-5| who’s absolute value is 5 is representing temp form 0 to -5

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

According to question

At 7pm, the temperature outside was -5

And |-5| = 5 (which is absolute value)

And represent count of temp from 0 to -5 .

Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5

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Answer:

Range = 3

Step-by-step explanation:

First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.

Hope this helps! :D

Answer: TRUE

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

Option A.

Step-by-step explanation:

Let the given graph represent the function f(x).

From the given that given graph it is clear that the end behavior of the function f(x):

1. As the x-values go to positive infinity, the function's values go to negative infinity.

[tex]\lim\limits_{x\to \infty}f(x)=-\infty[/tex]

2. As the x-values go to negative infinity, the function's values go to positive infinity.

[tex]\lim\limits_{x\to -\infty}f(x)=\infty[/tex]

Therefore, the correct option is A.

Answer:

It might be 24 but probaly not.

Step-by-step explanation:

It is the first 3 , but am not sure about the last one.

Answer:

the slope is zero because

Step-by-step explanation:

this is a perfect horizontal line passing through y=-3

I've been thought

hope it helps

Answer:

Slope = 0

This is because the line does not go up or down. And the line is horizontal leading to the factor of the slope being 0.

Answer:

The next fraction in the sequence is:

Step-by-step explanation:

How you can see, the fractions are decreasing as the sequence advance, to identify the proportion in which it decreases, we will divide the first and the second fractions:

Now, we just need to divide all the fractions in 3/2 to identify the next fraction, as I show below:

As you can see, all the results own to the sequence given, for this reason, the last result 4/27 is the correct fraction next to 2/9.