A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters​

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

Answer:

Its A n+(n+6)=24

Step-by-step explanation:

because 6 plus n (blue) is yellow and hen add original blue to equal 24

Answer:

1st: n+(n+6)=24 where n is the number of blue marbles.

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

First, we need to find how many liters of horchata Ana has in her refrigerator:

7/10 of a liter is the same as (7/10) / (1/1) = 7/10 liters.

To find how many glasses of horchata she can pour, we divide the total amount of horchata by the amount in each glass:

(7/10) ÷ (1/8) = (7/10) x (8/1) = 56/10 = 5.6

Ana can pour 5.6 glasses of horchata. Since she cannot pour a fraction of a glass, she can pour a maximum of 5 glasses of horchata.

Answer:

.52 cups

Step-by-step explanation:

Answer:

it would be 10 1/2

Step-by-step explanation:

The ten is already a whole number so it would be itself. .5 is in the tenths place so it would be put over ten (5/10). Simplify 5/10 to 1/2 because 5 is half of 10

Answer:

its 10 1/2

Step-by-step explanation:

The quadratic equation is f(x) = (x + 12)² + 20, and the numerical values of h and k are h = -12 and k = 20

The function is given as:

f(x) = x² + bx + 164

Start by differentiating the function

f'(x) = 2x + b

Set to 0

2x + b = 0

Solve for x

x = -b/2

Substitute x = -b/2 in f(x) = x² + bx + 164

f(-b/2) = (-b/2)² + b(-b/2) + 164

This gives

f(-b/2) = b²/4 - b²/2 + 164

Evaluate

f(-b/2) = - b²/4 + 164

The minimum of the function is 20.

So, we have:

- b²/4 + 164 = 20

Subtract 164 from both sides

- b²/4 = - 144

Multiply both sides by -4

b² = 576

Take the square root of both sides

b = 24

Substitute b = 24 in f(x) = x² + bx + 164

f(x) = x² + 24x + 164

Rewrite as:

f(x) = (x² + 24x) + 164

This gives

f(x) = (x² + 24x + (24/2)² - (24/2)²) + 164

Rewrite as:

f(x) = (x² + 24x + 12²) - 12² + 164

f(x) = (x² + 24x + 12²) + 20

Express as a perfect square expression

f(x) = (x + 12)² + 20

The function is represented as:

f(x) = (x - h)² + k

By comparison, we have:

h = -12 and k = 20

Hence, the numerical values of h and k are h = -12 and k = 20, respectively

Read more about quadratic functions at:

https://brainly.com/question/18797214

#SPJ2

I think it's 126

don't quote me on that, though

Answer:

The correct answer is 42 minutes.

Step-by-step explanation:

84% of 50 is 42.

THIS MIGHT NOT BE WHAT YOU ARE LOOKING FOR AND MIGHT NOT BE CORRECT! READ FIRST!

The answer is A. The slope of the line is rise/run = 4/2 = 2.1. This means that each kilometer costs $2.10. The y-intercept is 2.1, which means that the initial fee is $2.10. So the correct statement is: The slope is 2.1. This means that each kilometer costs $2.10.

The other statements are incorrect. The slope is not 5, so each kilometer does not cost $5. The y-intercept is not 5, so the ride does not last 5 kilometers. The y-intercept is the value of the function when the input is 0, which in this case is the initial fee of $2.10.

Answer:

22.55

Step-by-step explanation:

Answer:

22.55

Step-by-step explanation:

55% of $41 is 22.55. I found this by doing 41*.55

Answer:

First option: f(x) is greater

Answer:

Step-by-step explanation:

x-3

Answer:

yes

Step-by-step explanation:

It is possible to design more than one flag with these lengths because the two smaller side length 27 and 40 is greater than 50 which is larger side length.

Answer:

-9 if that is to the power of 3 at the end

Step-by-step explanation:

Simplify the root.  

What number multiplied by itself 3 times gives you 27?

3

18 - (3)^3 =

18 - 27 = -9

Also, a quicker way to do it when you get more confident is if you have a root (for example third root) and you raise it to the same exponent as is the root.  (third root to third power)  the root goes away and you are just left with the guts of that root.

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Answer:

9 feet easy to solve this is answer

\(\displaystyle\ \boldsymbol{(-27)\div(-9\div\frac{1}{9})=-27\div(-9\cdot9)=} \\\\\boldsymbol{-27\div-81=\boxed{\frac{1}{3}} }}\)

The perimeter of the trapezoid is given by the equation Q = 186

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

There are three types of trapezoids , and those are given below:

a) Isosceles Trapezoid

b) Scalene Trapezoid

c) Right Trapezoid

The area of the Trapezoid is given by

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

Given data ,

Let the perimeter of the scaled trapezoid be Q

Quadrilateral Q is a scaled copy of Quadrilateral P created with a scale factor of 3

Now , the trapezoid Q = 3 x trapezoid P

The perimeter of trapezoid Q = 3 x perimeter of trapezoid P

Length of longer base of P = 25

Length of shorter base of P = 7

And , the perimeter of trapezoid P = length of longer bases + length of bases + height

Substituting the values in the equation , we get

Perimeter of P = 15 + 15 + 7 + 25

On simplifying the equation , we get

Perimeter of P = 62

Now , perimeter of trapezoid Q = 3 x Perimeter of P

So , perimeter of trapezoid Q = 3 x 62

Perimeter of trapezoid Q = 186

Therefore , the value of Q is 186

Hence , the perimeter of trapezoid Q is 186

To learn more about trapezoid click :

https://brainly.com/question/12221769

#SPJ2

Answer:

As in the picture

Step-by-step explanation:

Have some close look on subtraction inside the small bracket!

Answer:

(1.3^9)/(1.3^3)= Last Column: (1.3)^6

(-5/6)^2= First Column: -5^2/6^2

(-5/6)^1: Third Column: -5/6

(1.3)^0: Second Column: 1

Answer:

first row last column, second row first column, third row third column, last row second column

Step-by-step explanation:

first row last column: doing division w/ exponents means you have to subtract the exponents. 9-3=6 and since they have the same base, you don't have to do anything with it, so the answer is the last column.

second row first column: properties show that the square of -5/6 is equal to -5^2/6^2 or 5^2/-6^2. therefore, the answer is the first column.

third row third column: anything to the power of one is itself.

last row second column: anything to the power of zero is one.

Answer:63

Step-by-step explanation:

 multiply 72 by 7 then divide i by 8

(72×7)/8

=63

It's 63.

simplify the equation 7/8×72 multiple 7×9 solution is 63

Answer:

C

Step-by-step explanation:

I substituted the x value with the different options. I kept doing that until the equation made sense.

Answer:

b) x = 7

Step-by-step explanation:

16+5x = x+12

Subtract 16 from both sides

5x = x+28

subtract x from both sides

4x = 28

divide 4 from both sides

x = 7

Hope this helps :)

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

\(\huge\boxed{\sf 500\ miles}\)

Step-by-step explanation:

Distance from Marni's house to her aunt's house = 3,000 miles

Days of trip = 6

= Total distance / Total days

= 3,000/6

= 500 miles

\(\rule[225]{225}{2}\)

Answer:

5000 miles

Step-by-step explanation:

you need to divide 30000 by 6 which is 5000

Answer:

about 17

Step-by-step explanation:

side 1 =4

side 2=4

side 3=4

one of the slanted lines is about equal to 2 and the other is also about 2

but i rounded it to 17 because a slanted line is longer than one that is straight across

Answer:

A

Step-by-step explanation:

The line starts at 24 and ends with 34. The box starts at 25 and 32. The line in the middle shows 31.