Find the volume of a pyramid with a square base, where the side length of the base is 16.6\text{ m}16.6 m and the height of the pyramid is 10.1\text{ m}10.1 m. Round your answer to the nearest tenth of a cubic meter.

The distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units

The intersection of the graph of the function with the y-axis gives  y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

Suppose the given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], then the equation of the straight line joining both two points is given by

[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]

We're given that:

[tex]f(x) = 3(2)^x[/tex]

Its y-intercept is:

[tex]y = f(0) = 3(2)^0 = 3\times 1 = 3[/tex]

Assuming y = g(x) is a linear function, from the first two points [tex](x_1, y_1) = (-5,15)[/tex] and [tex](x_2, y_2) = (-2, 3)[/tex], we get:

[tex](y - 15) = \dfrac{3 - 15}{-2 - (-5)} (x -(-5))\\\\y -15 = -\dfrac{12}{3} (x+5)\\\\y-15 = -4x - 20\\y = -4x - 5[/tex]

Checking if really y = g(x) is linear or not by evaluating it on its rest of the points:

[tex]y = g(2) = -4(2) -5 =-8-5 = -13\\\\y = g(5) = -4(5) -5 = -25[/tex]

These outputs matches with the table output, so we can take:

[tex]g(x) = -4x -5[/tex]

Its y-intercept is:

[tex]y = g(0) = -4(0) -5 = -5[/tex]

The distance between 3 and -5 on the y-axis is the absolute difference between these values of y, evaluated as:

[tex]d = |3 - (-5)| = |8| = 8[/tex] units.

Thus, the distance between the y-intercept of the function f(x)=3(2)ˣ and the y-intercept of the function g(x) for this case is given by: Option C: 8 units.

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Answer:

arithmetic

Step-by-step explanation:

Geometry is shapes ...

Answer:

8 units

(would really appreciate the brainliest)

Step-by-step explanation:

A lies on the same heightas B, wich makes it easy because you can ignore the y-Information (the second information in each bracket is the same).

so their distance is just the length of the line from -4 to 4

Answer:

8 units

Step-by-step explanation:

Answer:

The answer is ( -1, 2) and ( 4,7 )

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2 - 2x - 1 = x + 3

x^2 - 3x - 4 = 0

(x - 4)(x + 1)= 0

x - 4 = 0

x = 4

y= 4^2 - 2(4) - 1 = 16-8-1= 8-1= 7

(4, 7)

x + 1 = 0

x = -1

(-1)^2 - 2(-1)-1= 1+2-1=3-1=2

(-1,2)

answer is C

Answer:

c=4n

Step-by-step explanation:

hope this helps

Answer:

B

Step-by-step explanation:

Let's start by converting each of these into decimal form.

[tex]\pi\approx 3.1416\\\sqrt{10}\approx 3.1623\\\dfrac{22}{7}\approx 3.1428[/tex]

Therefore, the correct order is:

[tex]3.14, \pi, \dfrac{22}{7}, \sqrt{10}[/tex]

or answer choice B. Hope this helps!

Answer: B. 3.14, π, 22/7, square root of 10

Step-by-step explanation:

To order the numbers in increasing order, first solve for each to get the numbers into their simplest forms.

Pi can be estimated to 3.1415, which is already bigger than 3.14.

Knowing this, you can eliminate choice A, which lists pi as less than 3.14.

Dividing 22 by 7 gets you ~3.142, which is greater than both pi and 3.14.

Knowing this, you can eliminate choices C and D, which list 22/7 as less than 3.14 and pi.

The correct answer choice is B.

Answer:

350 girls.

5 unit represents 250 girls and the 7 unit represents 350 boys

Step-by-step explanation:

Add 5+7 =12

600÷12=50

RATIO OF BOYS TO GIRLS IS 7:5   SO

50x5=250 GIRLS.

7*50=350

so 5 unit represents 250 girls and the 7 unit represents 350 boys.

Answer:7

Step-by-step explanation:

Answer:

Step-by-step explanation:

e

Answer:

the third one

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

99 minus 38

Answer:

61 meters

Step-by-step explanation:

To find this answer, you need to subtract the length with trees from the total length of the course. With this information, you get an equation that looks something like x + 38 = 99, with x being the length of the course without trees.

Subtract 38 from both sides:

x + 38 = 99

  - 38   - 38

x = 99 - 38

Simplify:

x = 61

Answer:

9408,Is the only number that can divide into the same number to get exactly down to 1.

Step-by-step explanation:

Answer:

272 ft^2

Step-by-step explanation:

The lower rectangle is 10 ft by (12+8) or 20 ft

The area is

A = l*w = 10 *20 = 200 ft^2

The upper rectangle is 8 ft by (19 -10) or 9 ft

A = l*w = 8* 9 = 72 ft^2

The total area is 200 + 72 = 272

Answer:

65 degrees

Step-by-step explanation:

First, solve for the unknown angle( not the y's).

the angle 130 is supplementary to that angle so we will use an equation to solve it.  (supplementary means it adds up to 180 degrees)

x+130=180

 -130  -130

x      =   50           so, 50 is the measure of the interior angle

Now we have to use another equation to solve for y:

50+2y=180

-50      -50

2y      =  130

/2         /2

y     = 65

Thus, y is 65

So the right answer is 65 degree

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

C.

Step-by-step explanation:

easiest way to find is to look at "X value", and sub. 2 then the "Y value" and add 3

hope this helps :)

Answer:-13

Step-by-step explanation:-5-4-1+-3

Answer:

7,-5,-11

Step-by-step explanation:

-3(-4)-5=7

-3(0)-5=-5

-3(2)-5=-11

Answer:

its b

Step-by-step explanation:

collect the like terms

2x + x -2x = 5/2+4 +5/8

X = 57/8

Answer:

2nd and 6th options

Step-by-step explanation:

y = |x+4| - 4 has a vertex of (-4, -4), and the vertex of the given graph is (3, 1). The shift between the first and second points given is 7 units to the left (6) and 5 units down (2)

The transformation that will change from f to g will be

Corner point of a function is the point where continuous function will not be differentiable.

here the function in the graph has the corner point at (3,1).

so now we have to transform the function f to function g where

g(x)= |x+4|-4

in the function g(x) the corner point will be the point where the value changes sudddenly.

so the corner point will be x+4=0

⇒x=-4

at x=-4, the value of the g(x)=|-4+4|-4=-4

so the corner point of function g will be (-4,-4).

Now the corner point of function f is (3,1).

Therefore to trnsform function f to g we have to first displace (3,1) to (-4,-4).

in x direction the displacement will be = -4-3 =-7 i.e.  horizontal shift left 7 units

in y direction the displacement will be =-4-1=-5 i.e. verical shift down 5 units

Therefore the transformation that will change from f to g will be

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The solution of equation for x is,

⇒ x = 4

We have to given that;

The equation is,

⇒√ (3x + 4) = 4

Now, We can simplify as;

⇒ √3x + 4 = 4

Take square both side,

⇒ 3x + 4 = 4²

⇒ 3x + 4 = 16

Subtract 4 both side,

⇒ 3x = 16 - 4

⇒ 3x = 12

Divide by 3;

⇒ x = 12/3

⇒ x = 4

Thus, The solution of equation for x is,

⇒ x = 4

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Answer:

The first one and the last

Step-by-step explanation:

Answer:

Step-by-step explanation:-)

Volume of a Rectangular prism :

                                                     Volume=Width×Height×Length

                                                     Volume=    3[tex]\frac{1}{2}[/tex]  ×     4[tex]\frac{1}{2}[/tex]   ×  2

Answer:

the answer is

mean of samples in row 1: 8

Mean of samples in row 2:  5

Mean of samples in row 3:  6

Mean of samples in row 4:   4

Answer:

Mean of samples in row 1:  

✔ 8

Mean of samples in row 2:  

✔ 5

Mean of samples in row 3:  

✔ 6

Mean of samples in row 4:  

✔ 4

Answer:

15

Step-by-step explanation:

3 120/10

Answer:

48 centimetres wide

Step-by-step explanation:

you are at 3

you enlarge it and you get 6

second enlargement you get 12

third enlargement you get 24

fourth enlargement you get 48

if you times 3 by 4 you are not doubling the width each time you enlarge the photo

so it is easier to double it each time you enlarge it

Answer:

B: -1/2x +3

Step-by-step explanation:

the graph is up 3 units, making the +3. Rise/run to determine slope. it rises 1 unit for every 2 units it runs. i

Answer 234

hope helped

Answer:

directness

Step-by-step explanation:

Answer:

you divide 144 by 90: 144/90, and get 1.6, 160% markup, or just 1.6 markup

Step-by-step explanation:

Answer:

$144

Step-by-step explanation:

First you do .60 × 90 to get how much he added onto the original price. That was $54, then I added the original price. So I did 90 + 54 and got $144. Hope this helps! If you are still confused please comment!