37)
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An isosceles triangle is shown. Which two angles must be congruent?
-0)
A)
ZSSZT
B)
ZSSZU
ZT ZU
D)
Cannot be determined

The time take to fill the pool will be 494 hours.

Inlet pipe fills in  38 hours = 1 pool

Inlet pipe fills in 1 hours = 1/38

Drain pipe empty in 39 hours = 1 pool

Drain pipe empty in 1 hour = 1/39

If both pipes are opened together then in pool fills in 1 hour =  1/38 - 1/39

= 1/1482

Therefore, 1/1482 fills in 1 hour.

. Therefore, 1/3 will be:

= 1/3 × 1482

= 494 hours.

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Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

From lowest to highest probability:

B. A fair number cube with faces numbered 1 through 6 is rolled once. The result is divisible by 3.

C. A pair of fair number cubes with faces numbered 1 through 6 is rolled once. The result is a sum of 6.

A. Heads occurs at least twice when a fair coin is tossed three times.

For event B, there are two numbers on the cube that are divisible by 3: 3 and 6. Therefore, the probability of rolling a number that is divisible by 3 is 2/6 or 1/3, which is lower than the probabilities of events C and A.

For event C, there are five ways to obtain a sum of 6: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1), out of a total of 6 x 6 = 36 possible outcomes. Therefore, the probability of rolling a sum of 6 with two number cubes is 5/36, which is higher than the probability of event B, but lower than the probability of event A.

For event A, the only way to not get at least two heads in three coin tosses is to get all tails, which has a probability of \((1/2)^{3}\) = 1/8. Therefore, the probability of getting at least two heads is 1 - 1/8 = 7/8, which is the highest probability among the three events.

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2x^2 + 7x - 4

Multiply first term by the last term

2 * - 4 = -8

Find 2 factors of -8 whose sum equals the middle term (7)

8 x -1 = -8

8 - 1 = 7

Rewrite the polynomial

2x^2 -x +8x - 4

Add up first 2 factors and factor out

(2x^2 -x) (8x - 4 )

x (2x - 1) 4 (2x-1 )

Rewrite:

(2x-1 ) (x+4)

Answer:

The predicted score for the dependent variable will be of 198,454.4.

Step-by-step explanation:

Equation of a regression line:

The equation of a regression line has the following format:

\(y = ax + b\)

In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.

A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.

So \(y = 326.07x + 8.19\)

What will be the predicted score for the dependent variable if the independent variable is 608.6?

y when x = 608.6. So

\(y = 326.07*608.6 + 8.19 = 198454.4\)

The predicted score for the dependent variable will be of 198,454.4.

The measure of each of the angles are 126 and 54 degrees

The sum of angles that is equivalent to 180 degrees are supplementary angles.

If one of two supplementary angles is 12° more than one-third of the other angle, hence the angles are;

x and 1/3x +12

Take the sum and equate to 180 degrees

x +1/3x + 12 = 180

4/3 x = 180 - 12

4/3x = 168

4x = 168 * 3

x = 42 * 3

x = 126

Other angle = 180. - 126

Other angle = 54 degrees

Hence the measure of each of the angles are 126 and 54 degrees

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A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

The correct answer will be option b

let x= 5.764764               (1)

multiply both the sides by 1000

1000x = 5764.764              (2)

now substract equation one from equation (2)

999x =  5764

x = 5764/999  

In mathematics, a rational number is a number that can be expressed as the quotient or fraction

p

/

q

of two integers, a numerator p and a non-zero denominator q.[1] For example,

−3

/

7

is a rational number, as is every integer (e.g. 5 =

5

/

1

). The set of all rational numbers, also referred to as "the rationals",[2]

A rational number is a real number. The real numbers that are rational are those whose decimal expansion either terminates after a finite number of digits (example:

3

/

4

= 0.75), or eventually begins to repeat the same finite sequence of digits over and over (example:

9

/

44

= 0.20454545...).[6] This statement is true not only in base 10, but also in every other integer base, such as the binary and hexadecimal ones

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Probability of First = 2/9

Probability of Second = 4/11

Probability of both winning = 2/9 + 4/11

= 22/99 + 36/99

= 58/99

Answer is 58/99 probability of them both winning

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Answer:

43.6 has 3 significant figures.

Answer:

Step-by-step explanation:

 let us apply the interpolation formula to solve this problem

we have

\(\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}\)

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

\(y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1\)

Substituting our given data we have

\(y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44\)

the demand at a price of $1.50 per cone is 44 cones

Answer:

36

Step-by-step explanation:

If 1/3 of x is 12, we can make an equation.

x/3=12

So now we isolate x.

x=36

Answer:

36

Step-by-step explanation:

of means multiply and is means equals

1/3 * n = 12

Multiply each side by 3

3 * 1/3 n = 12 *3

n = 36

Answer:

220 pancakes could feed 80 people.

Step-by-step explanation:

Since the Cheer Team is cooking for a fundraiser breakfast, and they know that 22 pancakes can feed 8 people, to determine the number of people that can be fed 220 pancakes it is necessary to perform the following calculation:

22 = 8

220 = X

(220 x 8) / 22 = X

1760/22 = X

80 = X

Therefore, 220 pancakes could feed 80 people.

9514 1404 393

Answer:

  $3400

Step-by-step explanation:

The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.

tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)

  = 300 + 2000 +1100

  = 3400 . . . dollars

The tax owed on $70,000 is $3,400.

_____

Additional comment

I like to rewrite this sort of table to a different format:

For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.

what i got -

15x + 12y ≥ 3000

how i got it -

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

Answer:external factor

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

its 56 b

We can conclude that -

An inequality compares two or more numbers or expressions with one another. For example -

2x + 4y > 7

2x + 5y < 6

Given is the table that shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it before 4 p.m.

The total number of hours for which she will rent the sound system is -

{h} = 4 - 1 = 3 hours

{h} = 3 hours

Now, for 3 hours, the given inequality is -

2 < x ≤ 3

We can write the cost as $60.

If she is 30 minutes late, then she will pay $72.

Therefore, we can conclude that -

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Answer:

For example, f(x)=2 is a constant function and f(x)=2x + 1 is a linear function. It is important to notice that the graphs of constant functions and linear functions are always straight lines. We have already said that a quadratic function is a polynomial of degree 2

Step-by-step explanation:

The probability of selecting a girl and a boy for the class committee can be calculated by considering the total number of outcomes and the number of favorable outcomes.

Identify the number of girls and boys in the class. In this case, there are 5 girls and 7 boys.

Determine the total number of students in the class. That is 5 + 7 = 12.

Determine the number of ways to select two students from the class.

Here we can use the combination formula, which is written as C(n, r), where n is the total number of items and r is the number of items to be chosen.

In our case, n = 12 (total number of students) and r = 2 (number of students to be selected).

C(12, 2) = 12! / (2!(12-2)!) = 66.

Determine the number of favorable outcomes.

In this case, we want to select one girl and one boy. We multiply the number of girls by the number of boys: 5 x 7 = 35.

To find the probability, we divide the number of favorable outcomes (35) by the total number of outcomes (66):

Probability = Number of favorable outcomes / Total number of outcomes = 35 / 66 = 5/6.

So, the probability of selecting a girl and a boy for the class committee is 5/6.

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Answer:

the answer is 24 :)))

Step-by-step explanation:

i try to be help unlike the other person

i know its 24 bc i had to do the assignment on edge2020 and that is the correct answer on edge

Answer:

24

Step-by-step explanation:

if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that angle A is 108 degrees

Angle B is 27 degrees

We need to find angle C

By angle sum property we know that the sum of three angles is 180 degrees

108+27+x=180

135+x=180

Subtract 135 from both sides

x=180-135

x=45 degrees

Hence, if angle A is 108 degrees, angle B is 27 degrees then angle C is 45 degrees.

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In a triangle ABC, Find the angle C when angle A= 108° ,B=27° .

The general form of the equation for the given circle centered at O(0, 0) include the following: B. x^2 + y^2 − 41 = 0

Mathematically, the general (standard) form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²  

Where:

Next, we would determine the radius of this circle by using the distance formula as follows;

Radius, r = √[(4 - 0)² + (5 - 0)²]

Radius, r = √(16 + 25)

Radius, r = √41

Substituting the given parameters into the general form, we have;

(x - h)² + (y - k)² = r²  

(x - 0)² + (y - 0)² = (√41)²  

x² + y² = 41

x² + y²- 41 = 0

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Complete Question:

Select the correct answer. A circle with center O (0,0) has point B (4,5) on its circumference, which is joined by a line to O. What is the general form of the equation for the given circle centered at O(0, 0)?

a. x^2 + y^2 + 41 = 0

b. x^2 + y^2 − 41 = 0

c. x^2 + y^2 + x + y − 41 = 0

d. x^2 + y^2 + x − y − 41 = 0

Answer:

d = 291 + n

Step-by-step explanation:

Given that,

Last week, Kira drove 291 miles. Then this week she drove n miles.

We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,

d = 291 + n

Hence, this is the required solution.

To check if x = 49 is a solution of an equation, you have to replace the x-value into the equation as follows:

x - 23 = 26

49 - 23 = 26

26 = 26

Given that there is the same number on both sides of the equal sign, then x = 49 is a solution to the equation

Smithson will recognize the loss. So,the amount of loss will Smithson recognize on retirement of the liability is $309,248.85.

Profit or loss is the financial gain or loss resulting from the difference between revenue and expenses in a business or financial context.

Book value of ARL = Present value of estimated cash flows for ARL - Accumulated depreciation and amortization

PV = PMT x (1 - 1 / (1 + r)ⁿ) / r

The formula for weighted average is:

Weighted average = (Cash flow 1 x Probability 1) + (Cash flow 2 x Probability 2) + (Cash flow 3 x Probability 3)

PV = (700,000 x 0.25 x (1 - 1 / (1 + 0.08)⁵) / 0.08) + (750,000 x 0.4 x (1 - 1 / (1 + 0.08)⁵) / 0.08) + (850,000 x 0.35 x (1 - 1 / (1 + 0.08)⁵) / 0.08)

PV = $2,317,283.36

Since this is the end of the first year, the accumulated depreciation and amortization is simply the present value of the estimated cash flows for the first year:

Accumulated depreciation and amortization = (700,000 x 0.25 / (1 + 0.08)) + (750,000 x 0.4 / (1 + 0.08)) + (850,000 x 0.35 / (1 + 0.08))

Accumulated depreciation and amortization = $1,830,532.21

Finally, we can calculate the book value of the ARL at the end of one year:

Book value of ARL = Present value of estimated cash flows for ARL - Accumulated depreciation and amortization

Book value of ARL = $2,317,283.36 - $1,830,532.21

Book value of ARL = $486,751.15

Therefore, the book value of the asset retirement liability at the end of one year is $486,751.15.

Loss = Actual restoration costs - Book value of ARL

Loss = $796,000 - $486,751.15

Loss = $309,248.85

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The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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Answer:

5

Step-by-step explanation:

5 x 3 = 15

n x 4 = 4n

3 + 4 = 7

(5 x 3) + (n x 4) = 5(3 + 4)

15 + 4n = 5*7

15 + 4n = 35

4n = 35 - 15

4n = 20

n = 20/4

n = 5

Hence, the value of missing number (n) is 5.