Find the inverse of the given function f(x) =2^x+6

Answer:

(1/3)³c = 5

(1/27)c = 5

c = 5 × 27 = 135 cubes

The Main Answer is 135. It takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.

To find out how many [tex]1/3[/tex] unit cubes it takes to fill the rectangular prism with a volume of [tex]5[/tex] cubic units, we need to divide the volume of the prism by the volume of each individual cube.

The volume of the rectangular prism is given as [tex]5[/tex] cubic units. Since the prism is a rectangular shape, we can calculate its volume using the formula:

[tex]Volume of prism=length*width*height[/tex]

Given that the side length of each cube is [tex]1/3[/tex] unit, the volume of each cube is:

[tex]Volume of cube=(side length)^{3} =(1/3)^{3}=1/27 cubic[/tex]

Now, to find out how many cubes are needed to fill the prism, we divide the volume of the prism by the volume of each cube:

[tex]Number of cubes=Volume of prism/Volume of cube \\Number of cubes=5/(1/27)\\Number of cubes=5*27\\Number of cubes=135[/tex]

So, it takes [tex]135[/tex] of the [tex]1/3[/tex] unit cubes to fill the rectangular prism.

COMPLETE QUESTION:

A rectangular prism with a volume of [tex]5[/tex] cubic units is filled with cubes with side length of [tex]1/3[/tex] unit. How many [tex]1/3[/tex] unit cubes does it take to fill the prism?

Answer:

b. equal to

Step-by-step explanation:

difference means subtract

19 - 4 = 15

5 * 3 = 15

and 15 is the answer for both so that means the blank is equal to (b)

Answer:

b

Step-by-step explanation:

The difference of 19 and 4 is 15.

5 multiplied by 3 is 15.

So the two are equal.

d, 'y-axis, x-axis, y-axis, x-axis'

its the correct answer on the test :)) Goodluck !

The correct set of reflections that would carry triangle ABC onto itself is:

d. y-axis, x-axis, y-axis, x-axis

As per the shown graph, the coordinates of the vertices:

A(0,2)

B(2,4)

C(3,0)

We observe that the y-axis is the vertical line passing through x = 0, and the x-axis is the horizontal line passing through y = 0.

By analyzing the positions of the vertices, we can see that the triangle has rotational symmetry of 180 degrees around points (1, 2) and reflectional symmetry across both the x-axis and the y-axis.

Therefore, the correct set of reflections that would carry triangle ABC onto itself is:

d. y-axis, x-axis, y-axis, x-axis

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Answer:

Yes, she has enough strong to make necklaces for five friends

Step-by-step explanation:

10 ft= 120 inches

120/20 9=in per necklace= 6

she has enough to make 6 necklaces and she only has to make five so yes

Answer:

 y = 3/7 x

Step-by-step explanation:

Slope intercept form y = mx + b

In this case 3x - 7y = 0​

7y = 3x  

 y = 3/7 x (b = 0)

Answer:

y= 0- 3x over -7

Step-by-step explanation: Slope intercept form is Y= mx+ b

Hope this helps

Answer:

3

Step-by-step explanation:

g

Answer:

Step-by-step explanation:

2x - 9

If x = 3

Then,

2·(3) - 9 = 6 - 9 = (-3)

Answer:

Area of 81 sq in: 40.2

Perimeter of 36 in : 9

Step-by-step explanation:

Hope I'm right! :)

Answer:

9 inches

Step-by-step explanation:

A square has an area of 81 in^2

A = s^2

81 = s^2

Take the square root of each side

sqrt(81) = sqrt(s^2)

9 = s

The side length is 9 inches

A square has a perimeter of 36 in

P = 4s

36 = 4s

Divide each side by 4

36/4 = 4s/4

9 = s

Each side is 9 inches

Answer: its 48% i took the test

Step-by-step explanation:

Answer:

the actual answer is 43%

Step-by-step explanation:

Answer:

R = 50

Step-by-step explanation:

The sum of the angles of a triangle equal 180 degrees

S + R + Q = 180

x+70 + x+ 20 + x = 180

Combine like terms

3x +90 =180

Subtract 90 from each side

3x+90-90 = 180-90

3x= 90

Divide by 3

3x/3= 90/3

x = 30

We want to find angle R

R = x+20

R = 30+20

R = 50

Answer:

84

Step-by-step explanation:

To find this, we need to understand the combination formula.

If we have n items and we want to choose r at a time, we use the formula:

[tex]nCr=\frac{n!}{(n-r)!*r!}[/tex]

Where n! means n(n-1)(n-2)....

So we want 9C3, plugging them into the formula and doing some arithmetic, we have:

[tex]nCr=\frac{n!}{(n-r)!*r!}\\9C3=\frac{9!}{(9-3)!*3!}\\=\frac{9!}{6!*3!}\\=\frac{9*8*7*6!}{6!*3*2*1}\\=\frac{9*8*7}{3*2*1}\\=84[/tex]

So, there can be 84 combinations possible.

Answer:

$478

Step-by-step explanation:

To calculate the profit, we have to subtract the expenses from the revenues.

P = Revenues - expenses

We know the family gained $523 from the yard sale.

We also know they had to pay $45 for advertising.

So, the net different is the profit for the family:

P = $523 - $45 = $478.

That was a very good yard sale!, I hope mine went that well.

528 -45 would be your answer

Answer:

[tex]68m^2[/tex]

Step-by-step explanation:

To find the surface area of the prism, we find the area of each similar faces and multiply by 2 and then add all together

Area of square faces

[tex]2(4\times 4)=16m^2[/tex]

Area of parallelogram faces

[tex]=2bh[/tex]

[tex]=2(2\times 4)=16m^2[/tex]

Area of the rectangular faces;

[tex]=2(4\times 2.5)=20m^2[/tex]

The total surface area of the prism is 20+16+32=68 square meters

Answer:

B = 53.13

Step-by-step explanation:

Since this is a right triangle, we can use the tan function

tan B = opposite side/ adjacent side

tan B = 4/3

Take the inverse tan of each side

tan ^-1 (tan B) = tan^-1 (4/3)

B = 53.13010235

To the nearest hundredth

B = 53.13

Answer:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Step-by-step explanation:

The plane should pass through the central axis, along the vertical diagonals of the cube, in order to produce a cross section that is a regular hexagon.

Please see the image attached for better visualization.

To produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices and form an equilateral triangle with the three edges it intersects.

In order to produce a regular hexagon as a cross section of a cube, the plane should pass through the cube's vertices. The three edges that the plane passes through should form an equilateral triangle on the face of the cube. This is because a regular hexagon can be formed by placing equilateral triangles side by side.

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Answer:

$10 + ($55 * h)

Step-by-step explanation:

So we know from the question that the price automatically includes $10, add that at the beginning.

Then, we have to pay $55 per hour, h.

That means we have to multiply $55 by every hour; $55 * h.

That's how you get the expression!

Now you shall knoe da wae, my brudda.

Answer:

C. F(x) = (x - 4)^2

Step-by-step explanation:

f(x) = (x - h)^2 is a parabola that opens up and has the line x = h as the vertical axis.

Here, the vertical axis is x = 4, so h must be 4.

The answer is: C. F(x) = (x - 4)^2

Answer: C. F(x) = (x - 4)^2

Step-by-step explanation: i did on edge

Answer:

B

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 2, 4 ]

f(b) = f(4) = 16 ← from graph

f(a) = f(2) = 4 ← from graph

average rate of change = [tex]\frac{16-4}{4-2}[/tex] = [tex]\frac{12}{2}[/tex] = 6

what's missing is, how many days she was on vacation

Answer:

440

Step-by-step explanation:

124+124+96+96=440

For this case we have that the equation of a line in the slope form intersection is given by:[tex]y = mx + b[/tex]

Where:

m: It's the slope

b: It is the cut point with the y axis.

In the green graph we observe that[tex]b = 2[/tex], then its equation is [tex]y = 5x + 2[/tex]

We have the slope of the red line substituting two points:

[tex](0,2)\\(-1,0)[/tex]

[tex]m = \frac {0-2} {- 1-0} = 2[/tex]

Thus, the red line has equation[tex]y = 2x + 3[/tex]

Finally, the blue line is [tex]y = 3x + 3[/tex]

Answer:

Green line, y = 5x + 2

Red line, y = 2x + 3

Blue line, y = 3x + 3

Answer:

1 - green line: y = 5x + 2

2 - red line: y = 3x + 3

3 - blue line: y = 2x + 3

Step-by-step explanation:

1 - green line

The graph with the green line is the easiest to match with an equation.

If you look at the graph, you see that when x = 0, the y-value is 2.

There's only one of the given equations that y = 2 when x = 0, the first one.

y = 5x + 2

y = 5 (0) + 2 = 0 + 2 = 2

It's easy to spot, because in the format y = mx + b, the b is the value of Y when x = 0, as we just demonstrated.

2 - Red line

In this case, when x = 0, y = 3.  And there are 2 equations for which it's true... which is normal because the blue line (in next graph) also passes by this point.

Then to know which equation goes with the red line graph, we have two choices...

A. determine the slope (rate of change) of the red line and see if it matches one of the equations.

B. See what value of X yields a value of 0 for Y and see where it would land on the X-axis.

The second method is faster.  If you see on the graph, when y = 0, x = -1

If we take the 2nd equation (y = 3x + 3) and we set the value of y to 0, we have:

0 = 3x + 3

-3 = 3x

x = -1

Which is exactly what we wanted to find.

So, the red line is y = 3x + 3

3. blue line

Well, there's only one answer left (y = 2x + 3), so it's easy... but let's make sure by finding the slope (method A listed for the red line above), in case your teacher would be playing tricks on you.

The slope of a line is the variation of y-value (Δy) divided by the variation of x-value (Δx).

If we take the two points where the blue line crosses the axis, we have (-1.5, 0) and (0,3).

Now, let's calculate the slope:

S = (0 - 3) / (-1.5 - 0) = -3 / -1.5 = 2

And 2 is the slope of the equation y = 2x + 3

So, we're good.

Answer:

11.066666666667 or simplified 12

Step-by-step explanation:

Answer:  11.0667

Step-by-step explanation:

= Mean just incase you need is :

83

And population size just incase you need as well is :

15

* Hopefully this helps:) Mark me the brainliest:)!!

~234483279c20~

Answer:

61

Step-by-step explanation:

The first thing that you want to do is distance formula

[tex]d=(x_{2}-x_{1} )^{2} + (y_{2}-y_{1} )^{2}[/tex]

I'm going to make the start of the line at (1,1) and that means that the end of the line is at (7,6). Now, you plug these numbers into the formula.

[tex]d=(7-1 )^{2} + (6-1 )^{2}[/tex]

Then you slove

[tex]d=(6 )^{2} + (5 )^{2[/tex]

[tex]d=36 + 25[/tex]

[tex]d=61[/tex]

Distance formula: d =√(x2-x1^2 +y2-y1^2)

Find the points of the line: (2,2) and (8, 7)

Length = √((8-2)^2 + (7-2)^2)

Length = √(6^2 + 5^2)

Length = √(36+25)

Length = √61 ( exact answer) or as a decimal: 7.81

Answer:

Full question in attached picture.

To quickly solve this problem, we can use a graphing tool or a calculator to plot the equation.

Please see the second attached image below, to find more information about the graph .

The equation is:

h(t) = -16.1*t^2 + 150

Looking at the graph, we can tell that the ball was dropped from

150 feet

And it hits the ground after

3.052 s

Answer:

yeah

Step-by-step explanation:

what she or he siad

The solution is, Mean Absolute Deviation = 2.2222

The next three procedures are necessary to calculate the mean absolute deviation.

By adding up all the observations and dividing by the sample size, you can determine the sample average.

Discover the total deviation from the mean of each data point. When negative signals appear, ignore them and instead deduct the observed values from the mean.

Determine the absolute deviations' average. Divide the total of the values from step #2 by the sample size.

here, we have,

Input Data:

Data set = 1, 2, 3, 4, 5, 6, 7, 8, 9

Total number of elements = 9

Objective:

Find what is mean absolute for given input data?

Solution:

X mean = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/9

= 45/9

X mean = 5

MAD = (1 - 5) + (2 - 5) + (3 - 5) + (4 - 5) + (5 - 5) + (6 - 5) + (7 - 5) + (8 - 5) + (9 - 5)9 = (4) + (3) + (2) + (1) + (0) + (1) + (2) + (3) + (4)9

=209

Mean Absolute Deviation = 2.2222

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A prism is a three-dimensional object that keeps the same cross-section throughout its length, such as a cylinder. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

A prism is a three-dimensional shape with the same cross-section all the way through. This means that if you were to cut the prism at any point along its length, the shape you would see would be the same. An example of this is a cylinder, which has circular ends and maintains this cross-section throughout its length.

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Answer:

[tex]15.42mi[/tex]

Step-by-step explanation:

Use the formula for a semicircle's perimeter.

[tex]P=\frac{1}{2}\pi *d+d[/tex]

Plug in 6 for d.

[tex]P=\frac{1}{2}\pi*6+6[/tex]

Let's use 3.14 for [tex]\pi[/tex], just to make it easier, but of course, if it states to round it to something else, just plug in that many values for [tex]\pi[/tex].

[tex]P=\frac{1}{2}(3.14)*6+6 \\ \\ P=1.57*6+6 \\ \\ P=9.42+6 \\ \\ P=15.42[/tex]

Answer:

Step-by-step explanation:

The perimeter = pi * d + d

d = 6 miles

The perimeter = pi*6 + 6       This is one possible answer

perimeter = 6*3.14 + 6

perimeter = 18.84 + 6

perimeter = 24.84                  Which is another possibility

If you have choices, please list them.

Answer:

B

Step-by-step explanation:

Find the median and the upper/lower quartiles

Rearrange the data in ascending order

33, 36, 37, 38, 41, 42, 46, 49, 50, 50, 51, 52, 53, 54

The median is the middle value of the data or if there is no exact value at the middle then it is the average of the 2 values either side of the middle

Here the median is between 46 and 49

median = [tex]\frac{46+49}{2}[/tex] = 47.5

The upper quartile is the middle value of the data to the right of the median

[tex]Q_{3}[/tex] = 51

The lower quartile is the middle value of the data to the left of the median

[tex]Q_{1}[/tex] = 38

The minimum value = 33

The maximum value = 54

The lower quartile is the left side of the box plot

The upper quartile is the right side of the box plot

The median is located inside the box plot

The corresponding box plot is B

B is the answer good luck man

Answer:

-1⅓

Step-by-step explanation:

According to the Rate of Change [Slope] Formula, m = -y₁ + y₂\-x₁ + x₂, you plug in each coordinate into the correct places and you will arrive at the above answer.

Answer:

  4

-------

x + 7

Step-by-step explanation:

sum of x and 7 = (x + 7)

So 4 divided by the sum of x and 7 = 4 / (x + 7)

Answer

  4

-------

x + 7

Final answer:

The correct way to write the expression '4 divided by the sum of x and 7' is 4 / (x + 7), which is not represented in any of the given options.

Explanation:

The expression 4 divided by the sum of x and 7 is written mathematically as 4 / (x + 7). None of the provided options A) 4 + 7 x, B) x 4 + 7, C) x + 7 4, or D) 4 x + 7 correctly represent this expression. The correct notation for division by a sum involves placing the sum in the denominator inside parentheses to ensure the correct order of operations is followed.

Answer:

314 units²

Step-by-step explanation:

Centre of the circle = (0, 0)

Another point on the circle = (-6, -8)

[tex]\text {Radius = }\sqrt{(0 - (-6))^2 + (0- (-8))^2}[/tex]

[tex]\text {Radius = }\sqrt{6^2 + 8^2}[/tex]

[tex]\text {Radius = }\sqrt{100}[/tex]

[tex]\text {Radius = }10[/tex]

Area = π (10)² = 100π = 314 units²

Final answer:

The area of the circle is found by first calculating the radius using the distance formula, which is determined to be 10 units. Then, the area formula πr² is used to find that the area of the circle is 100π square units.

Explanation:

To find the area of the circle centered at the origin containing the point (-6, -8), we first need to determine the radius of the circle. The radius can be found using the distance formula for a point from the origin, which is √((-6)²+ (-8)²). After calculating the radius, we use the formula for the area of a circle, which is πr^2, to find the circle's area.

The distance from the origin to the point (-6, -8) is the radius (r) of the circle: r = √((-6)² + (-8)²) = √(36 + 64) = √100 = 10.

Now that we have the radius, we can calculate the area (A): A = πr² = π(10)² = 100π square units.