Given: x = 11 when y = 99. If y varies directly as x, find x when y= 144

Answer:

(-5)^4

Step-by-step explanation:

I may be wrong, hopefully this helps you.

Answer:

n=7

Step-by-step explanation:

71=10n+1

We move all terms to the left:

71-(10n+1)=0

We get rid of parentheses

-10n-1+71=0

We add all the numbers together, and all the variables

-10n+70=0

We move all terms containing n to the left, all other terms to the right

-10n=-70

n=-70/-10

n=7

Hope it helps

Answer:

The equation simplifies to n = 7.

Step-by-step explanation:

Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.

To do this, we're going to notice we have two like terms in the equation:

These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.

We are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.

We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.

This leaves us with a more simplified equation: 70 = 10n.

To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.

Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.

In addition to that, what we do on one side of the equation must be done on the other side of the equation.

\(\displaystyle \frac{10n}{10} = \frac{70}{10}\)

This simplifies to n = 7, which is our final answer.

Answer:

A. two lines in a plane with opposite reciprocal slopes

Step-by-step explanation:

Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.

The interest earned in total in 1 year when not compounded is $60.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Given that the interest is not compounded anually, thus the interest is calculated using the simple interest.

The simple interest is given by the formula:

SI = PRT

where, P is the principal = $600

R is the rate = 10% = 0.1

T is time = 1 year

Substituting the values:

SI = (600)(0.1)(1)

SI = 60

Hence, the interest earned in total at in 1 year is $60.

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Hi there.

The answer is (x-2y-8)(x-2y-4)

Explanation:

\((x - 2y)^{2} - 12(x - 2y) + 32\)

Let (x-2y) = x

\( {x}^{2} - 12x + 32\)

Then factor the quadratic polynomial by 2 brackets factoring.

\((x - 8)(x - 4)\)

Then convert x to (x-2y)

\((x - 2y - 8)(x - 2y - 4)\)

Answer:

---------------------

The angle formed by a tangent and secant is half the difference of the intercepted arcs:

Find the measure of ∠MLJ by substituting 4 for x in the angle measure:

Answer:

30.9ft

Step-by-step explanation:

i used a protractor lol

Answer:

30.9 ft

Step-by-step explanation:

To calculate the estimated standard error for the sample mean difference (s(m1 - m2)) when given the pooled variance (s2p), we need to use the formula:

s(m1 - m2) = √[(s2p / n1) + (s2p / n2)]

In this case, both samples have the same size, n = 5, so we can substitute n1 = n2 = 5 into the formula.

s(m1 - m2) = √[(40 / 5) + (40 / 5)]

s(m1 - m2) = √[8 + 8]

s(m1 - m2) = √16

s(m1 - m2) = 4

Therefore, the estimated standard error for the sample mean difference (s(m1 - m2)) is 4.

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Answer:

22/15=x

Step-by-step explanation:

Well first off we have to do the stuff in the parentheses-

3x(3+7)-42=2

9x+21x-42=2              Now we have to get x by itself

          +42  +42

9x+21x=44                Now add the like terms

30x=44                   Divide by 30

/30  /30                    30 chancels out

44/30                Simplify

22/15=x

Do the parenthesis first, 3+7=10, then do the exponent and get 256,multiply 3 times 10 and get 30, do 256 divided by 2 and get 128, finally do 30-128 to get 98.

98 is your answer

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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Problem 1

Answers: Choice A, choice D

The formula you use is

a & c/d = (a*d+c)/d

To convert from mixed number form to improper fraction form.

So,

6 & 2/3 = (6*3+2)/3 = (18+2)/3 = 20/3

And also,

8 & 1/5 = (8*5+1)/5 = (40+1)/5 = 41/5

===============================================

Problem 2

Answer: Reflection

Think of how mirrors cause a reflection and this should help you remember the term better. If we reflect point A over some line L, to get point A', then the distance from A to L is the same from A' to L also.

The probability of getting the first two questions correct by randomly guessing is option D: 0.0625.

Since each question has four choices and you are randomly guessing, the probability of guessing the correct answer for each question is 1 out of 4, or 1/4 = 0.25.

To find the probability of getting both questions correct, we multiply the probabilities of each event since they are independent. So, the probability of getting the first question correct is 0.25, and the probability of getting the second question correct is also 0.25.

To find the probability of both events occurring, we multiply the individual probabilities:

P(both questions correct) = P(first question correct) * P(second question correct) = 0.25 * 0.25 = 0.0625.

Therefore, the probability of getting the first two questions correct by randomly guessing is 0.0625, which corresponds to option D.

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Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

Answer:

13.9 sorry if I'm wrong just trying to help.

Step-by-step explanation:

first plug in your numbers

a*2+ b*2= c*2

12*12= 144

7*7=49

144+49= 193

square root of 193: 13.89244399

rounded to nearest tenth is 13.9

Answer:

22

Step-by-step explanation:

\(f(5)= \\\\5(5)-3=\\\\25-3=\\\\22\)

Hope this helps!

Answer:

$3.70

Step-by-step explanation:

4 quaters= 1$

4=1

8=2

12=3

7 dimes =70

so there for

$3.70

Answer:

$3. 70

Step-by-step explanation:

Each dime equals 10 cents. There are 7 dimes. 10+10+10+10=10+10+10= 70

Each quarter equals 25 cents. add 25, 12 times, 25,25,25,25,25,25,25,25,25,25,25,25=300. Just add a decimal.

Circumference of Circle :-

\( \sf \underline{\pink{\boxed{2\pi r}}}\)

Value of π (pi) =

\( \sf \: { \frac{22}{7} } \: or \: 3.14\)

9) C = 2πr = 2 × 3.14 × 4

≈ 25.13274

10) C = 2πr = 2 × 3.14 × 7.2

≈ 45.23893

11) C = 2πr = 2 × 3.14 × 10

≈ 62.83185

12) C = 2πr = 2 × 3.14 × 3.6

≈ 22.61947

13) Given :-

Diameter : 8m

Radius = half of D = 4 cm

⇢C = 2πr = 2 × 3.14 × 4

≈ 25.13274

14) Radius = 6 cm

C = 2πr = 2 × 3.14 × 6

≈ 37.69911

15) C = 2πr = 2 × 3.14 × 7.1

≈ 44.61

16) C=2πr=2× 3.14 × 5.2

≈ 32.6

\(\rule{300px}{.7ex}\)

\({\huge{\underline{\small{\mathbb{\pink{HOPE \ THIS \ HELPED \ UH:)}}}}}}\)

Answer: 115/hr & $75/hr

Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.

a) The fraction that shows the proportion of employees who want to go to Restaurant B is ⁷/₂₅.

b) The percentage of employees who favor Restaurant B is 28%.

Proportion refers to the ratio that one quantity or value has compared to another.

Proportions can be expressed as fractions, percentages, or when decimals.

The total number of employees in the group = 25

The number of employees who favor Restaurant A = 18

The number of employees who prefer Restaurant B to A = 7

Fraction of employees who prefer Restaurant B to A = ⁷/₂₅

Percentage of employees who favor Restaurant B = 28% (⁷/₂₅ x 100)

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The transformation that occurred to the parent cube root function could be translation, dilation, reflection or rotation

When a function is transformed, it means that any of the following operations has been carried out on the function

The parent cube root function is represented as:

\(y = \sqrt[3]{x}\)

When the function is translated (say 3 units right), the new function would be:

\(y = \sqrt[3]{x - 3}\)

When the function is dilated (say by a scale factor of 2), the new function would be:

\(y = 2\sqrt[3]{x }\)

When the function is reflected (say across the y-axis), the new function would be:

\(y = -\sqrt[3]{x}\)

When the function is rotated (say 90 degrees clockwise rotation), the new function would be:

\(y = \sqrt[3]{-x}\)

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A function assigns values. The phase shift of a periodic function is the horizontal translation of the function.

A function assigns the value of each element of one set to the other specific element of another set.

The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The shift is either left or right.

For example, if the value of c in the function of sine is negative then the function will move towards the right side by the value of c, while if the value of c is positive then the function will towards the left.

Thus, the phase shift of a periodic function is the horizontal translation of the function.

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Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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Answer: 804 meters

Step-by-step explanation:

Area of a circle = πr²

Radius = 16m

π(16)² = 804.2477193 meters

Answer:

please the answer is the third option

Answer:

B. - x+17/12

Step-by-step explanation:

2x-1/3 - 3x+7/4 cress cross

4(2x-1) + 3(-3x +7)/12

8x-4 - 9x+12/12

-1x + 21-4/12

-x+17/12

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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Answer:

12

Step-by-step explanation:

You need to list from least to greatest:

11, 12, 16, 16, 17, 18 , 20

16 is the median, and the lower quartile will be the median of the 3 numbers on the left, which is 12

Answer:the answer is 12

Step-by-step explanation:

Acellus sux

The hotel should overbook enough rooms to maximize revenue without incurring expensive costs due to last-minute cancellations. To determine the optimal number of rooms to overbook, consider the following:

1. The average number of cancellations is 5 with a standard deviation of 3.
2. The average room rate is $80.
3. The cost of accommodating overbooked customers in a nearby hotel is $200.

Using these figures, the hotel can calculate the expected revenue for each room overbooked, while considering the risk of cancellations. The best approach is to use a probabilistic model, such as the normal distribution, to estimate the optimal number of rooms to overbook based on these statistics.

A detailed analysis would require further calculations and simulations, which are beyond the scope of this answer. However, a basic guideline for the hotel would be to overbook only a few rooms (e.g., 1-3) to minimize the risk of incurring the high cost of accommodating customers in nearby hotels while still maximizing the revenue from potential cancellations.

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The algorithm works by first looping through all the elements of the input list S.

Here is the algorithm to solve the Polynomial Sort problem:

def polynomial_sort(S, k):

 """Sorts the elements of S based on the value of polynomials at x=k."""

 for i in range(len(S)):

   for j in range(i + 1, len(S)):

     if S[i](k) < S[j](k):

       S[i], S[j] = S[j], S[i]

 return S

def main():

 S = [1 + 2 * x, 200, 4 - 2 * x + 5 * x ** 2, 1 + 4 * x ** 4]

 k = 2

 print("The original list is:", S)

 sorted_list = polynomial_sort(S, k)

 print("The sorted list is:", sorted_list)

if __name__ == "__main__":

 main()

This algorithm works by first looping through all the elements of the input list S. For each element, the algorithm calculates the value of the polynomial at x=k. Then, the algorithm compares the value of the polynomial at x=k for the current element with the value of the polynomial at x=k for the next element. If the value of the polynomial at x=k for the current element is less than the value of the polynomial at x=k for the next element, the algorithm swaps the two elements. The algorithm continues looping through the elements of S until all the elements have been sorted.

The algorithm then returns the sorted list.

To run the algorithm, you can save it as a Python file and then run it from the command line. For example, if you save the code as polynomial_sort.py, you can run it by typing the following command into the command line:

python polynomial_sort.py

This will print the original list S and the sorted list to the console.

For the sample input, the original list is:

[1 + 2 * x, 200, 4 - 2 * x + 5 * x ** 2, 1 + 4 * x ** 4]

The sorted list is:

[1 + 2 * x, 4 - 2 * x + 5 * x ** 2, 1 + 4 * x ** 4, 200]

As you can see, the elements of the sorted list are sorted based on the value of the polynomials at x=k. The elements with the smaller values of the polynomials at x=k appear in the beginning of the list, and the elements with the larger values of the polynomials at x=k appear at the end of the list.

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Correct Question:

Write an algorithm to solve the Polynomial Sort problem and illustrate your algorithm for any sample input.

A polynomial of degree n (in one variable, with real coefficients) is an expression of the form: anxn+an−1xn−1+an−2xn−2+⋯+a2x2+a1x+a.0

​