A vase is in the shape of a cone that is 10 inches tall and with a diameter of 3 inches. What is the greatest amount of water the vse can hold?

Answers

Answer 1
Answer: it can hold about 23.56 cubic inches of water

Answer 2
Answer:

Answer:

the answer is 140in

Step-by-step explanation:


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Find the zeros of f(x) = 4x2 + 5x - 21. {-7/4, 3} {7/4, -3} {3/4, -7}

Answers

Answer:

x = - 3, x = (7)/(4)

Step-by-step explanation:

Given

f(x) = 4x² + 5x - 21

To obtain the zeros, equate f(x) to zero, that is

4x² + 5x - 21 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × - 21 = - 84 and sum = + 5

The factors are + 12 and - 7

Use these factors to split the x- term

4x² + 12x - 7x - 21 = 0 ( factor the first/second and third/fourth terms )

4x(x + 3) - 7(x + 3) = 0 ← factor out (x + 3) from each term

(x + 3)(4x - 7) = 0

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

4x - 7 = 0 ⇒ 4x = 7 ⇒ x = (7)/(4)

Final answer:

You can find the zeros of the function f(x) = 4x² + 5x - 21 by setting the function equal to zero and solving for x using the quadratic formula. Upon solving, you get the zeros as -7/4 and 3.

Explanation:

To find the zeros of the quadratic function f(x) = 4x² + 5x - 21, you need to set the function equal to zero and solve for x. This means solving the equation 4x2 + 5x - 21 = 0. This is a quadratic equation that can be solved using the quadratic formula, x = [-b ± √(b² - 4ac)] / (2a).

Here, a = 4, b = 5, and c = -21. Substituting these values into the quadratic formula gives us x = [-5 ± √((5)² - 4*4*(-21))] / (2*4). Simplifying yields x = {-7/4, 3}.

Learn more about Finding Zeros of a Quadratic Function here:

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Line AB contains points A (3, −2) and B (1, 8). The slope of line AB is−5
negative 1 over 5
1 over 5
5

Answers

Answer:

-5

Step-by-step explanation:

We have two points.  We can find the slope m using

m = (y2-y1)/ (x2-x1)

   = (8--2)/ (1-3)

      (8+2)/(1-3)

     10/-2

   -5

The slope is -5

Answer:

-5

Step-by-step explanation:

Write a real-world problem that can be represented by the equation 224=3.5r

Answers

One pound of meat costs 3.50$. If the total is 244$, how many pounds of meat have you bought?
Three and half tonnes of gold weigh 224 kg. What is the weight of 1 tonne of gold.

A basketball team scored 60 points in the firstgame and 50 points in the second game. How
many points did the team score in the third
game if their mean score for the 3 games was
51 points?

Answers

The answer should be 43
51 x 3 = 153
153-60-50=43

Answer:

43

Step-by-step explanation:

RATE OF CHANGEPLZ HELP


Kim=green Trey= Red Ann=Black

JPG ATTACHED

Answers

A. you are looking for the person who reached the distance (4 miles) the fastest. Since the black line has the most distance changed in the least amount of time, Ann wins the races and has the fastest rate of change. the green line stops growing next, so Kim has the second fastest rate of change and gets second. That means that the red line ends last, has the slowest rate of change, and Trey gets third. so the race goes 1. Ann 2. Kim 3. Trey

Rate of change (speed) just means the distance traveled divided by the time it took. so we can do this for each person.  Ann traveled 4 miles in 12 minutes, so you do 4/12 and get her rate of change which is 1/3 or .33 repeating    
Next,  we need to find Kim's rate of speed, so we take the distance she traveled (4 miles) divided by the time it took (16 minutes) if we do that we get 1/4 or .25
With Trey, he started at 2 miles, so his distance would be his final spot minus his starting spot, so he traveled 2 miles. if we take that and divide it by the time it took (18 minutes) we get 1/9 or .11 repeating.

Finally, we already found out that Ann has the fastest rate (1/3) and Trey has the slowest rate (1/9) we can prove this by stating that Ann traveled the most distance in the least amount of time. she traveled 4 miles in 12 minutes, which is greater than or equal to the other to distances by less than both times taken. 

We can prove that Trey has the slowest rate because he traveled the least distance (2 miles) in the most time (18 minutes) that means that he took longer than the other two to travel less distance. his distance is less than the others and his time taken is greater than both of the other racers' times.

NEED THIS NOW PLZ!!!Heather manages a company that currently has 35 employees, e, and is gaining 5
new employees each month. Which equation below can be used to determine the
total, T, number of employees 4 months from now?
A: T = 5e +35
B: T = 35e + 5
C: T = 4e + 5
D: T= 5e + 4​

Answers

Answer:

C

Step-by-step explanation:

We know that 35 employees are currently at the company and this is constant. If the employees, e, increases by a factor of 5 each month for 4 months. Therefore the equation should be :

T=4\cdot{e}+5

The equation only accounts for the employee total increase after 4 months

Answer:c T = 4e + 5

Step-by-step explanation: