MATHEMATICS HIGH SCHOOL

What is the volume of the figure below if a = 4.2 units, b = 5.7 units, and c = 3 units?a 129.78 cubic units
b 141.75 cubic units
c 407.484 cubic units
d 177.66 cubic units

Answers

Answer 1

Answer: A*A*C*2= 4.2 * 4.2 * 3 * 2=105.84
A*B*C*2/2= 4.2 * 5.7 * 3 * 2 / 2= 71.82 add those 2 values to get
177.66 so A

Answer 2

Answer:

Answer:tree

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What are the zeros of the function below? Check all that apply. F(x) = x(x+7)(x+2)/(x-4)(x+4)

Answers

The zeros of a function are the values of x that equates the function to 0

The zeros of the function are: 0, -7 and -2

The function is given as:

$\mathbf{f(x)= (x(x + 7)(x + 2))/((x - 4)(x + 4))}$

Equate to 0

$\mathbf{ (x(x + 7)(x + 2))/((x - 4)(x + 4)) = 0}$

Cross multiply

$\mathbf{ x(x + 7)(x + 2) = 0}$

Split

$\mathbf{ x= 0\ or\ (x + 7) = 0\ or\ (x + 2) = 0}$

Solve for x

$\mathbf{ x= 0\ or\ x = -7\ or\ x = -2}$

Hence, the zeros of the function are:

F. 0

D. -7

C. -2

Read more about zeros of a function at:

brainly.com/question/16633170

question: What are the zeros of the function below? Check all that apply.

F(x)= x(x+7)(x+2) / (x-4)(x+4)

answer:

c. -2
d. -7
f. 0

explanation: The "0" you are looking for are the x's. They equal the F(x) to 0.

F(x)= x(x+7)(x+2) / (x-4)(x+4)

Step 1- Set equal to 0.

x(x+7)(x+2) / (x-4)(x+4) = 0

Step 2- Multiply.

x(x+7)(x+2) = 0

Step 3- Separate.

x = 0
(x+7) = 0
(x+2) = 0

Step 4-Simplify.

x = 0

x + 7 = 0

- subtract 7 from both sides.

- x = -7

x + 2 = 0

- subtract 2 from both sides.

- x = -2

summary: The zeros in the function F(x)= x(x+7)(x+2) / (x-4)(x+4) are 0 , -7 , or -2.

PLZ HELP ASAP!!! WILL MARK BRAINLIEST!!Select all that apply. Which of the following expressions have a quotient of -1/71/7

(-1)/(-7)

(-1)/7

-(1/7)

1/(-7)

Answers

Answer:

it's a,c,d like if this helps

Answer:

(-1)/7

1/(-7)

-(1/7)

These two equations will be equal to -1/7 as

(-1)/7=-1/7

1/(-7)=-1/7(THE SIGN OF THE DENOMINATOR WILL BE GIVEN TO THE NUMERATOR IF NEGATIVE)

-(1/7)=-1/7 (When we avoid the bracket the answer will be equalent)

where G is a constant and M is the mass of the earth. Calculate the work done by the force of gravity on a particle of mass m as it moves radially from 7500 km to 9400 km from the center of the earth.

Answers

Answer:

$-2.0213* 10^(-7)GMm\text{ J}$

Step-by-step explanation:

Since, the force of gravity is,

$F = -(GMm)/(r^2)$

Where,

G = gravitational constant,

M = mass of earth,

m = mass of the particle,

r = distance of particle from centre of the earth,

∵ 7500 km = $7.5* 10^6$ meters

9400 km = $9.4* 10^6$ meters

Thus, work done by the force of gravity,

$W=\int_(7.5* 10^6)^(9.4* 10^6)F. dr$

$=-\int_(7.5* 10^6)^(9.4* 10^6)(GMm)/(r^2)dr$

$=GMm[(1)/(r)]_(7.5* 10^6)^(9.4* 10^6)$

$=GMm((1)/(9.4* 10^6)-(1)/(7.5* 10^6))$

$=GMm((7.5-9.4)/(9.4* 10^6))$

$=-GMm((1.9)/(9.4* 10^6))$

$\approx -2.0213* 10^(-7)GMm\text{ J}$

Where,

$G = 6.67408* 10^(-11) \text{ }m^3 kg^(-1) s^(-2)$

$M=5.972* 10^24 \text{ kg}$

There were 42 runners to start a race. In the first half of the race, 1 over 3 of them dropped out. In the second half of the race, 4 over 7 of the remaining runners dropped out. How many runners finished the race?

Answers

42 runners total

$(1)/(3)$ of 42 (14) dropped out in first half.

42 - 14 = 28 remaining.

$(4)/(7)$ of 28 (16) dropped out in second half.

28 - 16 = 12 runners finished the race.

1/3 of 42 is 14 (42 divided by 3 is 14) so u subtract 14 from 42 which is 28. Then you would divide 28 by 7 which is 4 and then since the fraction is 4/7, u would multiply 4 and 4 to get 16. and finally subtract 28 and 16.

answer is 12 runners

Solve for x and y simultaneously 2 x + y =5 and 4 x + 3y =9

Answers

x=3

y=-1

I got my answer using process of elimination.

Answer:

x = 3, y = - 1

Step-by-step explanation:

2x + y = 5 → (1)

4x + 3y = 9 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 4x - 2y = - 10 → (3)

Add (2) and (3) term by term to eliminate x

0 + y = - 1

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

2x - 1 = 5 ( add 1 to both sides )

2x = 6 ( divide both sides by 3 )

x = 3

If there are 16 values in a data set in order from smallest to largest, what is the median of the data set?A. The mean of the 8th and 9th values
B. The 8th value
C. The 7th value
D. The mean of the 7th and 8th values

Answers

A.) The mean of the 8th and 9th values

What is the volume of the figure below if a = 4.2 units, b = 5.7 units, and c = 3 units?a 129.78 cubic unitsb 141.75 cubic unitsc 407.484 cubic unitsd 177.66 cubic units

Answers

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What is the volume of the figure below if a = 4.2 units, b = 5.7 units, and c = 3 units?a 129.78 cubic units
b 141.75 cubic units
c 407.484 cubic units
d 177.66 cubic units