Select the correct answer.

A sphere has a diameter of 24 units. What is its volume in cubic units?

A. 576 cubic units

B. 1,728 cubic units

C. 2,304 cubic units

D 6,912 cubic units​

Answer:

15h

Step-by-step explanation:

Answer:

17 hours

Step-by-step explanation:

she needs 150, she spends 3 and she makes 9 per hour

153/9 = 17

Answer:

1 / 8

Step-by-step explanation:

Given the data

_____Favor __Oppose__ No Opinion__Total

Demo 320___ 150 ______50 _______ 520

Repub 125___ 345 _____ 10 _________480

Total 445 ___495 ______60 ________ 1000

what is the probability that a citizen selected at random will favor reducing industries' carbon emissions, given that the person is a Republica

From the table provided :

n(favor n republican) / n(Total)

Number of republican who are in favor = 125

Total number of persons = 1000

Hence,

125 / 1000

= 1/8

Answer:

i think its b

Step-by-step explanation:

Answer:37.5

Step-by-step explanation:

The work a crew will pave in an hour will be 8/5 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a crew of highway workers paved 1/5 mile in 1/8 hour. The amount of work will be calculated as,

1 / 8 hours ⇒ 1 / 5 miles

1 hour ⇒ 8 x (1 / 5 ) miles

1 hour ⇒ 8 / 5 miles

Therefore, the work a crew will pave in an hour will be 8/5 miles.

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Answer:

Since this graph is continuing, y must be any real number. So, d.

Answer:

Correct I think

Step-by-step explanation:

9 is nearly half of 25. (12.5) Half is equal to 50%. 40 is close to 50 and 9 is close to 12.5. So, he is correct. I think, hope this helps.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as what is required of the question is not stated.

However, since the question is only limited to distance, a likely question could be to calculate the distance from Bayville to Colleyville.

Represent the distance from Atlanta to Colleyville with AC

Represent the distance from Atlanta to Bayville with AB

Represent the distance from Bayville to Colleyville with BC

So, we have that:

[tex]AC = 25.5\ miles[/tex]

[tex]AB = 10\frac{2}{3}\ miles[/tex]

The relationship between AB, AC and BC is:

[tex]AC = AB + BC[/tex]

Make BC the subject of formula:

[tex]BC = AC - AB[/tex]

[tex]BC = 25.5 - 10\frac{2}{3}[/tex]

Convert fraction to decimal

[tex]BC = 25.5 - 10.7[/tex]

[tex]BC = 14.8[/tex]

Hence, the distance from Bayville to Colleyville is 14.8 miles

Triangle has two solutions: a=4; b=5; c=1.051 and a=4; b=5; c=8.561.

Extra: #1 Obtuse scalene triangle.

Sides: a = 4   b = 5   c = 1.051

Area: T = 0.724

Perimeter: p = 10.051

Semiperimeter: s = 5.026

Angle ∠ A = α = 16° = 0.279 rad

Angle ∠ B = β = 159.846° = 159°50'45″ = 2.79 rad

Angle ∠ C = γ = 4.154° = 4°9'15″ = 0.073 rad

Height: ha = 0.362

Height: hb = 0.29

Height: hc = 1.378

Median: ma = 3.009

Median: mb = 1.517

Median: mc = 4.497

Inradius: r = 0.144

Circumradius: R = 7.256

Vertex coordinates: A[1.051; 0] B[0; 0] C[-3.755; 1.378]

Centroid: CG[-0.901; 0.459]

Coordinates of the circumscribed circle: U[0.526; 7.237]

Coordinates of the inscribed circle: I[0.026; 0.144]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 164° = 0.279 rad

∠ B' = β' = 20.154° = 20°9'15″ = 2.79 rad

∠ C' = γ' = 175.846° = 175°50'45″ = 0.073 rad

Answer:

k

Step-by-step explanation:

k

Answer: The height of the building = 14.5 feet.

Step-by-step explanation:

Given: Length of ladder = 15 feet

Distance of base of ladder from building = 4 feet

Since building is standing vertical on ground making right angle.

So with ladder a right triangle is formed , where base = 4 feet , Hypotenuse = 15 feet [Hypotenuse is side opposite to right angle]

According to the Pythagoras theorem ,

Hypotenuse² = Perpendicular² + Base²

⇒ (15)² =  Perpendicular² +  (4)²

⇒ 225 = Perpendicular² +16

⇒ Perpendicular² = 225 -16

⇒ Perpendicular² = 209

⇒  Perpendicular = √209 = 14.4568322948 ≈ 14.5 feet

Hence, the height of the building = 14.5 feet.

Answer:

g(x) = √(2x)

Step-by-step explanation:

f(x) = 3x^2

g(f(x)) =√6x

g(3x^2) = x√6

g(x) must be √(2x)

because if we  substitute  x = 3x^2 in this we get

(√2(3x^2))

= √2√3√(x^2)

= √6 x

Answer:

Mathematical model is:

(895/n) + 25 ≤ 60

Number of students must not be less than 26

Step-by-step explanation:

We are told that;

- the rental of a bus for the day will cost $895.

- Lunch and festival activities will cost $25 per student

If the number of students are n, then cost per student for bus rent is; $895/n

Thus, total amount per n number of students to participate is;

895/n + 25

Now, we are told that the club advisor thinks that the fee for participating should not be more than $60.

Thus in form of inequality, we have;

(895/n) + 25 ≤ 60

Subtract 25 from both sides to get;

(895/n) ≤ 60 - 25

(895/n) ≤ 35

Multiply both sides by n and then divide both sides by 35;

895 ≤ 35n

26 ≤ n

Answer:

Step-by-step explanation:

n = 20 (because it’s a 45° triangle so two angles are 45° which means two legs are equal)

to find m:

20^2 + 20^2 = m^2

400 + 400 = m^2

800 = m^2

m = square root(800)

m = square root(400)xsquare root(2)

m = 20square root(2)

Answer:

0.3

Step-by-step explanation:

Let x be what you need to subtract

I hope this helps!

Answer:

3/10

Step-by-step explanation:

83/10 - 3/10 = 80/10 = 8

Answer:

x=4

Step-by-step explanation:

A+B=C

A^2+X=C^2

12^2+X=24^2

144+X=576

/144        /144

    x=4

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

Answer: f=-2

Step-by-step explanation:

math

Answer:

f < -2

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

triangle is isosceles

Answer:

The value of b is 6 and the value of c is also 6

Step-by-step explanation:

We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.

So,

ΔUWV≅ΔEDF

Then

WV ≅ DF

WU ≅ DE

UV ≅ EF

So,

Putting their respective value equal:

WV = DF

[tex]9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6[/tex]

Hence,

The value of b is 6 and the value of c is also 6

Answer:

57.375

Step-by-step explanation:

Multiply then move the decimal

Answer:

57.375

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 675 is 100%, so we can write it down as 675=100%.

4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.

5. Now we have two simple equations:

1) 675=100%

2) x=8.5%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

675/x=100%/8.5%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 8.5% of 675

675/x=100/8.5

(675/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x

675=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x

675/11.764705882353=x

57.375=x

x=57.375

now we have:

8.5% of 675=57.375

hope it helpsssssss :)

sssssssssssssss

Answer c I think

Step-by-step explanation:

Answer:

[1,2]; m = 7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ 3p + 1.5s = 15

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Matea spent $15.00 on protein bars and sports drinks.

Each bar cost $3.00 and each sports drink cost $1.50.

Now,

Let the number of protein bars = p,

And, the number of sports drinks = s

So, We can formulate;

The correct equation which represents the number of protein bars, p, and the number of sports drinks, s, Mateo could have bought is,

⇒ $3p + $1.5s = $15

⇒ 3p + 1.5s = 15

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Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

Answer:

-24

Step-by-step explanation:

Although -24 is a negative number, it still is 24 numbers away from zero. 38 is positive and is 38 digits away.