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Simplicity

Complete Question:

A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.

What is the area of the base of the pedestal?

Answer:

45 square feet

Step-by-step explanation:

Given the following data;

Volume of pedestal = 405 ft³

Height of rectangular prism = 9 ft

To find the area of the base of the pedestal;

Volume of pedestal = base area * height

405 = base area * 9

Base area = 405/9

Base area = 45 square feet.

Therefore, the area of the base of the pedestal is 45 square feet.

Answer:

45 square feet

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The estimated number of coyotes after six years, rounded to the closest whole number, is 237.

Therefore, option D) 237 is the appropriate response.

Given that in a national park the population of coyote is increasing by 4.3% per year.

The current population is 183.

We need to find the size of the population after 6 years.

To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:

[tex]y = y_oe^{0.043t[/tex]

Where:

y = final population after t years

y₀ = initial population

r = growth rate

t = time in years

In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).

Plugging in the values:

[tex]y = 183 \times e^{(0.043 \times 6)[/tex]

Calculating this expression:

[tex]y \approx 183 \times e^{(0.258)[/tex]

Using a calculator:

[tex]y \approx 183 \times 1.294[/tex]

[tex]y \approx 236.502[/tex]

Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.

Therefore, the correct answer is option D) 237.

Learn more about Exponential growth rate, click;

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Answer:

one solution

x = 12

Step-by-step explanation:

3 (x-1) = 2x + 9

3x - 3 = 2x + 9

subtract 2x from each side of the equation:

x - 3 = 9

add 3 to each side:

x = 12

Step-by-step explanation:

3x-3=2x+9

3x-2x=9+3

x=12

only one solution

Answer:

Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg

Answer:

1 3/10

Step-by-step explanation:

We are to determine the difference the paint of yellow and orange paint

The equation we are to solve is

[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]

The equation can be solved by taking the following steps

[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]

Answer:

s=-1

Step-by-step explanation:

Answer:

I believe the answers are;

m<1 = 50°

m<2 = 130°

m<3 = 50°

m<4 = 130°

m<5 = 40°

m<6 = 30°

Answer:

The answer is D.

Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!

Answer:

d) a+b

Step-by-step explanation:

For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).

(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)

So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer

Each piece of ribbon that had been cut has a length of approximately 3.7 m.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total length of ribbon to tie 12 gifts is calculated as,

⇒ 12 gifts × 1.85 m/gift = 22.2 m

The length of the ribbon remaining is calculated as,

Total length = [22.2 / (1/3)] x 2/3

Total length = 66.6 x 2/3

Total length = 44.4

The length of each piece of ribbon that had been cut is calculated as,

Length of each piece = 44.4 m ÷ 12 = 3.7 m

More about the Algebra link is given below.

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Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

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Answer:

18

Step-by-step explanation:

Answer:

circumference = pi (3.14 or 22/7, whatever your teacher wants or whatever the problem asks) x the diameter

Step-by-step explanation:

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

I hope the images help!!

4.5 i think im really not sure check with someone else before answering

Answer:

Unit Rate:5 teabags for 1$

teabags for $20: 100

Step-by-step explanation:

make 3/15  a fraction

simplify

multiply 20 times 5

Answer:

14587676

Step-by-step explanation:

Answer:

The 3rd one

Step-by-step explanation:

The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.

Answer:

the third one sorry couldn't answer here sooner!

Step-by-step explanation:

-Ash

Answer:

If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3

btw I love ur connie pfp- :3

Step-by-step explanation:

:3

Answer:

The speed of the plane is [tex]v=1.2\: m/s[/tex]

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]

[tex]v=1.2\: m/s[/tex]

I hope it helps you!

Answer:

Option (4)

Step-by-step explanation:

Input values are always represented by the x values and output values of a function is represented by f(x).

From the table given,

Values under x column are the input values and values under f(x) or gx) column are the output values.

From both the tables, common output values for the same input value (x = 1) are,

f(1) = 3

g(1) = 3

Therefore, Option (4) is the answer.

The input value that produces the same output value for both functions is: D. x = 1

A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.

In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).

Thus, [tex]f(1) = g(1) = 3[/tex]

Therefore, the input value that produces the same output value for both functions is: D. x = 1

Learn more about a function on:

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Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer:

41.57

Step-by-step explanation:

took the test

Answer:

wef

Step-by-step explanation:

wef

Answer:

yes

Step-by-step explanation:

Answer:

let no of pigs=x

ducks=y

x+y=10.....(1)

4x+2y=36

2x+y=18....(2)

by(1)..y=10-x

putting vvalue

2x+10-x=18

x=8

ducks=8

Answer:

15+8+6+2=31

Step-by-step explanation:

highest no. is 15

15-7=8

31-15-8=8

middle number 8

8-6=2

CHECK: 15+8+6+2=31

i don't know if my answer is right haha

i checked online it says the answer is 5,6,8,12