Juan, standing at one focus of a whispering gallery; is 20 ft from the nearest
wall. His friend is standing at the other focus, 80 ft away. How high is its elliptical
ceiling at the center?
Fill in the blank:
The elliptical ceiling is
ft high at the center.
Give your answer to the nearest whole ft (no decimal places).

Answer:

This is not a function

Step-by-step explanation:

Hope this helps

Answer:

22 comic books.

Step-by-step explanation:

(20 - 9) * 2 First subtract 9 from 20

11 * 2 Multiply 11 by 2

22 is the product

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

Answer: -43.3

Step-by-step explanation:

     We will use the order of operations, sometimes called PEMDAS. See attached for more information on this subject.

     Given:

8.7 - (1 + 3)³ + 6 · 2

     Simplify parentheses:

8.7 - (4)³ + 6 · 2

     Raise to the power of three:

8.7 - 64 + 6 · 2

     Multiply:

8.7 - 64  + 12

     Subtract:

-55.3 + 12

     Add:

-43.3

Answer:

The Rockets' team has the better record.

Step-by-step explanation:

The Blazers hockey team has played 12 games but they won only 7 out of the 12 games, so that means that they loss the other 5 games. So that makes the Blazers record 7 wins and 5 losses.

The Rockets' team has played 8 games but they won only 5 out of the 8 games, so that means that they loss the other 3 games. So that makes the Rockets' record 5 wins and 3 losses.

So, the Rockets' team has the better record because they loss less games than the Blazers team did.

The function which represents a graph which has been vertically shifted by 3 units is; y= log (x) + 3.

It follows from the task content that the graph which has been shifted vertically is to be identified.

For a vertical shift, it means that the y value of such graphs must have increased or decreased. This is However, evident in the equation y= log (x) + 3 and hence, is the solution.

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The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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Answer:

Which of the following expressions represents five less than three times the number M

where are option ?

Answer:

3M-5

Step-by-step explanation:

You subtract the 5 from 3M and you have to make it 3 times M so you have the 3M.

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

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

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

The values of F, G and H are given as follows:

F = 5, G = 29, H = 1.

The expression at the right side of the equality represents the entire expression after the least common factor is applied at the left side.

The least common side of the denominators is given as follows:

(x - 3)(4x + 7).

Hence the simplified numerator is given as follows:

(2x + 1)(4x + 7) + (-3x + 2)(x - 3).

Expanding the operations, and combining the like terms, we have that:

(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 8x² + 18x + 7 - 3x² + 11x - 6.

(2x + 1)(4x + 7) + (-3x + 2)(x - 3) = 5x² + 29x + 1.

Then the equality of the two numerators is given as follows:

5x² + 29x + 1 = Fx² + Gx + H.

Hence the values of the letters are given as follows:

F = 5, G = 29, H = 1.

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Kira has $19, Boris has $75, and Deshuan has $25.

We will denote as follows:

From information, we can set up equations:

B = 3D (Boris has 3 times what Deshuan has)

D = K + 6 (Deshuan has $6 more than Kira)

K + B + D = 119 (The total amount of money they have is $119)

Substituting equation 2 into equation 1, we have:

B = 3(K + 6)

Substituting equations 1 and 2 into equation 3:

K + 3(K + 6) + (K + 6) = 119

K + 3K + 18 + K + 6 = 119

5K + 24 = 119

5K = 119 - 24

5K = 95

K = 95 / 5

K = 19

Using equation 2, we can find D:

D = K + 6

D = 19 + 6

D = 25

Using equation 1, we can find B:

B = 3D

B = 3 * 25

B = 75.

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Answer:

False

Step-by-step explanation:

False.

For a number to be divisible by 3, it must have at least one factor of 3.

For a number to be divisible by 15, it must have at least one factor of 3 and one factor of 5.

A number that is divisible by 15 is always divisible by 3, but a number divisible by 3 is not necessarily divisible by 15.

Look at the following examples of numbers that are divisible by 3 but not by 15:

3, 9, 12, 24

Answer:

there is a 1 to 15 relationship  between miles and gallons

Step-by-step explanation:

Dale is going to a water park with his little brother, Robert. Since Robert is only 4 feet tall, they check to see if he is tall enough for the Super Slide.

Sadly, the park's website says that he needs to be at least 52 inches tall.

How many more inches does Robert need to grow before he is tall enough for the Super Slide?

SOLUTION

Robert is 4 feet in inches = 48 inches

Sadly, the park's website says that he needs to be at least 52 inches tall.

Robert needs 4 more inches to grow before he is tall enough for the Super Slide.

Each number should be dragged to a box to complete the table as follows;

Kilometers     Meters

1                        1,000

2                       2,000

3                       3,000

5                       5,000

8                       8,000

In Science and Mathematics, a conversion factor can be defined as a number that is used to convert a number in one set of units to another, either by dividing or multiplying.

Generally speaking, there are one (1) kilometer in one thousand (1,000) meters. This ultimately implies that, a proportion or ratio for the conversion of kilometer to meters would be written as follows;

Conversion:

1 kilometer = 1,000 meters

2 kilometer = 2,000 meters

3 kilometer = 3,000 meters

4 kilometer = 4,000 meters

5 kilometer = 5,000 meters

6 kilometer = 6,000 meters

7 kilometer = 7,000 meters

8 kilometer = 8,000 meters

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(12 \\ - \\ 8 \\ \div 2389 \times 24 + 85 \\ - 63 \\ \times {89}^{2 5} \div \\ |896| - 92 \\ = \\ (7821yx) \\ \div 3698 \\ = 0\)

Answer:

B. 533in²

Step-by-step explanation:

Step 1: Find the area of the rectangle

A = lw

A = (29)13

A = 377

Step 2: Find the leg of the triangle

13 + 11 = 24

Step 3: Find the area of the triangle

A = 1/2bh

A = 1/2(24)(13)

A = 12(13)

A = 156

Step 3: Add the areas of the 2 figures together

377 + 156 = 533

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... You can simply divide the first number in the ratio by the second

Answer:

-10x-45

Step-by-step explanation:

Answer:

Jiri is 48 years old

Step-by-step explanation:

STEP 1

Let Jill's age be equal to: x

Let Pamela's age be equal to :Jiri's age(x) - 15

STEP 2

Total sumof Jiri and Pamela's age= 81

Sum= Pamela's age + Jiri's age

81 = (x-15) + x

81 =x -15 + x

81 = x+x -15

81= 2x -15

Collect like terms

81 + 15= 2x ( recall - changes to + when crossing the =)

96=2x

Divide both sides by 2

96/2 =2x/2

48 = x

Recall Jiri's age is equal to x

Hence Jiri's age is equal to 48

Answer:

139

Step-by-step explanation:

x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3

= 9 + 125 + 5

= 139!

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

Answer:

y = -4

Step-by-step explanation:

given x = -1

6x - 7y = 22

6(-1) -7y = 22

-6 - 7y = 22

-7y = 22 + 6

-7y = 28

y = -4

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

Answer:

a)5

b)505

Step-by-step explanation:

a)500--100%

x---1%

x=5

b)

500----100%

x------101%

x=505

The set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

What is set?

Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set.

Given that, U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}.

If U is a universal set and A be any subset of U then the complement of A is the set of all members of the universal set U which are not the elements of A.

So, complement of set C is C'={2, 3, 4, 6, 8}

Now, (A ∪ B) ∩ (B ∩ C')

= ({6, 8, 2}∪{3, 2, 5, 6}) ∩ ({3, 2, 5, 6}∩{2, 3, 4, 6, 8})

= {2, 3, 5, 6, 8} ∩ {2, 3, 6}

= {2, 3, 6}

Therefore, the set of the expression (A ∪ B) ∩ (B ∩ C') is {2, 3, 6}.

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"Your question is incomplete, probably the complete question/missing part is:"

Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 2}, B = {3, 2, 5, 6}, and C = {5, 1, 7}. Find the following.

(A ∪ B) ∩ (B ∩ C').

The expected value for playing roulette if a person bet $16 on red is -$0.84.

b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.

To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:

Expected value = (18/38) x  $16 - (20/38) x  $16

= -$0.84

Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.

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See full question below

one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.

a. what is the expected value for playing roulette if you bet $16 on red?

$__________ (round to the nearest cent)

b. chosen the statment below that best describes what this value means???

Pick One!

a. over the long run, the player can expect to win about $1.05 for each game played

b. over the long run, the player can expect to lost about $1.05 for each game player

c. over the lung run, the player can expect to break even

Hello!

\(\large\boxed{h(2) = 8}\)

Find h(2) by finding the y-value at the point at which x = 2.

Looking at the graph, we can see that at x = 2, y = 8.

Therefore, h(2) = 8.

The value of all the expression which have x = 5 asymptotes are,

⇒ g (x) = 3 log (x - 5)

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ f (x) = (3x + 20) / (x - 5)

We have to given that,

All the expressions are,

⇒ g (x) = 3 log (x - 5)

⇒ f (x) = √(x - 5) + 2

⇒ h (x)= eˣ⁻⁵

⇒ g (x) = log₁₀ (- x + 5) -  4

⇒ h (x) = - ∛(x - 5) + 1

⇒ f (x) = (3x + 20) / (x - 5)

Now, We can check all the expressions for which have x = 5 asymptotes.

Hence, We can substitute x = 5 in each expression and check all expression as which are not defined at x = 5,

⇒ g (x) = 3 log (x - 5)

Substitute x = 5;

⇒ g (x) = 3 log (5 - 5)

⇒ g (x) = 3 log (0)

Which is undefined.

⇒ f (x) = √(x - 5) + 2

Substitute x = 5;

⇒ f (x) = √(5 - 5) + 2

⇒ f (x) = 2

Which is defined.

⇒ h (x)= eˣ⁻⁵

Substitute x = 5;

⇒ h (x)= e⁻⁵

Which is defined.

⇒ g (x) = log₁₀ (- x + 5) -  4

Substitute x = 5;

⇒ g (x) = log₁₀ (- 5 + 5) -  4

⇒ g (x) = log₁₀ (0) -  4

Which is undefined.

⇒ h (x) = - ∛(x - 5) + 1

Substitute x = 5;

⇒ h (x) = - ∛(5 - 5) + 1

⇒ h (x) =  1

Which is defined.

⇒ f (x) = (3x + 20) / (x - 5)

Substitute x = 5;

⇒ f (x) = (3x + 20) / (5 - 5)

⇒ f (x) = (15 + 20) / (0)

Which is undefined.

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Answer:

The answer is 0.26.

I wish you luck on your assignments.

Answer: 0.26

Step-by-step explanation:

1. The hundredths place is two digits from the decimal point

2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same

3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6

4. Our final answer is 0.26