Mr Smith class has 45 students 23 of the students are men and the rest are women what is the fraction best represent the number of women on the class

Answers

Answer 1

Answer: 22/45 students are women hope i some what helped out

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A particular frozen yogurt has 75 cal in 2 ounces how many calories are in 8 ounces of the yogurt

Answers

Total number of calories in 8 ounce yogurt is 300 calories.

Given that;

Total number of calories in 2 ounce yogurt = 75 calories

Find:

Total number of calories in 8 ounce yogurt

Computation:

Total number of calories in 8 ounce yogurt = 75[8/2]

Total number of calories in 8 ounce yogurt = 75[4]

Total number of calories in 8 ounce yogurt = 300 calories

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Just divide 8 by 2 and you'll get 4
Each container is 2 ounces so do 75 times 4 and you'll get 300 calories

Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?

Answers

It must be larger than 25. The 3rd side of a triangle must always be greater than the sum of th other 2

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

$y = -9.5x^2 + 47.5x + 63$

Vertex, V is of the form:

$V= (h,k)$

Where

$h = -(b)/(2a)$

and

$k = f(h)$

Solving for h:

$y = -9.5x^2 + 47.5x + 63$

$y = ax^2 + bx + c$

So:

$a = -9.5$

$b = 47.5$

$c = 63$

$h = -(b)/(2a)$

$h = -(47.5)/(2 * -9.5)$

$h = -(47.5)/(-19)$

$h = (47.5)/(19)$

$h = 2.5$

Solving for k

$k = f(h)$

$k = f(2.5)$

Substitute 2.5 for x in $y = -9.5x^2 + 47.5x + 63$

$k = -9.5 * 2.5^2 + 47.5* 2.5 + 63$

$k = -59.375+ 118.75 + 63$

$k = 122.375$

Hence:

The vertex is

$V = (2.5,122.375)$

The correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

The given function is $y = -9.5x^2 + 47.5x + 63$ .

To find the vertex of a quadratic function in the form $y = ax^2 + bx + c$ , we can use the formula x = -b / (2a) to find the x-coordinate of the vertex.

In this case, the coefficient of $x^2$ is -9.5, the coefficient of x is 47.5, and there is no constant term.

Using the formula, we can find the x-coordinate of the vertex:

$x = (-b )/( 2a)\nx = (-47.5 )/( (2 * -9.5))\nx = 2.5$

Now, substitute this x-coordinate back into the original function to find the y-coordinate:

$y = -9.5(2.5)^2 + 47.5(2.5) + 63\ny = -9.5(6.25) + 118.75 + 63\ny = -59.375 + 118.75 + 63\ny = 122.375$

Therefore, the correct vertex for the function $y = -9.5x^2 + 47.5x + 63$ is (2.5, 122.375).

Micah's error might be related to incorrectly calculating the x-coordinate of the vertex or substituting the wrong value back into the function.

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Solve for h in the mathematical formula V=pi r^(2)h

Answers

Answer:

$(V)/(\pi r^(2) )$ = h

Step-by-step explanation:

Lets try and get everything we can away from h.

V = $\pi$ $r^(2) h$

Divide $\pi$ $r^(2)$ from both sides of the equation.

Now we end up with:

$(V)/(\pi r^(2) )$ = h

On Tuesday Shanice bought five hats. On Wednesday half of all the hats that she had were destroyed. On Tuesday there were only 17 left. How many did she have on Monday?