((a^2m+n)(b^n-2m))/(a^n-m)(b^2m-n)

Find 1% of 350 by moving the decimal two places to the left.

1% of 350 = 3.50

Now to find 8% multiply 3.50 by 8.

3.50 x8 = 28.00

Answer: $28.00

Answer:

what question is thiswho would count the balls as many which can fit in it

Answer:

Hypothesis: Whitney thought that 5,000 tennis balls would fit into the room, whereas I ... We then figured out that the ceiling juts, the windows, and the corner windows are ... We had to find the height of the room, too, which was about 9 feet.

Answer:

87.7(1)

=

87 Remainder 32

To add these two mixed numbers, we first add their whole number parts and then their fractional parts separately.

Whole number parts: 10 + 13 = 23

Fractional parts: 9/12 + 9/12 = 18/12

We can simplify 18/12 by dividing both the numerator and denominator by their greatest common factor, which is 6.

18/12 = (18 ÷ 6) / (12 ÷ 6) = 3/2

Therefore, the sum of 10 9/12 and 13 9/12 is:

23 3/2 or 23 and 1/2.

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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The period and the frequency of the trigonometric equations are 2π and 1.

In this problem we have two trigonometric equations belonging to the family of functions:

f(x) = sin (2π · x / T) + a

g(x) = cos (2π · x / T) + b

Where:

And the frequency of the function is equal to 2π / T.

The period of both functions is:

2π / T = 1

T = 2π

And the frequency of the function:

ω = 1

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Answer:

the answer to this question is 98=0

Answer:

Step-by-step explanation: i got it right :) hopefully you get it in time!

How do you calculate run time and speed?

32 min * 8 min per mi = 4 miles How to calculate run time. Multiply your pace by your distance; If the pace is 9.5 minutes per mile and you run 3 miles: 9.5 min per mi × 3 mi = 28.5 minutes = 28 minutes, 30 seconds How to calculate running speed. Divide your run distance by your run time.

What do you do to calculate average speed?

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Solution

For this case the best option would be 2 and the reason is this one:

We need three dimensions and the possibility that the lines converge in the first case is not likely to create any regular prism, in the other hand in the case 2 is easier

If we want to calculate the surface area for this case we can do this:

1) Calculate the area of the lower layer

2) Calculate the area of the surface layer

3) Calculate the area of the lateral layers

And then add all the 3 amounts and we got the total surface area

Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.

Given the quantities of powdered milk and whole wheat to prepare a batch of pancakes, we can determined the total amount of each ingredient by simple rule of three:

Powdered milk

\(x = 4\,batches\times \frac{1}{4}\,\frac{cups}{batch}\)

\(x = 1\,cup\)

Whole wheat

\(y = 4\,batches \times \frac{3}{2}\,\frac{cup}{batch}\)

\(y = 6\,cups\)

Ruby needs a cup of powdered milk and six cups of whole wheat to prepare four batches of pancakes.

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Since the price of the ribbon is 17 cents per yards, the number of yards of ribbon Ann bought is 27 yards.

She has 15 dollars in her debit card.

She bought bulk ribbons at a craft store.

The price of the ribbon is 17 cents per yards. Therefore,

17 cents = 0.17 dollars

Hence,

Amount debited from her account  = 15  - 10.41 = $4.59

Therefore, she spent a total of $4.59 .

The yards of ribbon bought = 4.59 / 0.17

The yards of ribbon bought = 27

Therefore, Ann bought 27 yards of bulk ribbon.

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Answer:

The answer is D.

Step-by-step explanation:

f(x) = 5x -3

y = 5x - 3

Switch y and x to find the inverse

x = 5y - 3

Solve for y.

x + 3 = 5y

y = (x+3)/5

g(x) = (x+3)/5

Step-by-step explanation:

y=kx

25= k(-5)

k= -5

y= -5x

y = -5 ×3 = -15

Answer:

Below

Step-by-step explanation:

Angle 4 + 60 + 61 = straight line = 180 °

angle 4 = 180 - 60 - 61 = 59°

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Step-by-step explanation:

Distribute the negative sign:

\(\frac{2}{7} x-3 -5/2-\frac{1}{5}y\)

From the given, we can only find the difference with the integers.

Subtract the integers:

\(\frac{2}{7} x-\frac{1}{5}y-0.5\)

Answer: 80

Step-by-step explanation:

Answer: The correct answer is 80

Step-by-step explanation:

in parentheses 3x4 = 12 - 4 = 8

6 + 4 = 10

10 x 8 = 80

Answer:

x=50° and y=45°

Step-by-step explanation:

x=QU(90°)-QP(40°)

x=50°

y=SU(90°)/2

y=45°

Answer:

y = 9√3

x = 18

Step-by-step explanation:

taking 30 as reference angle

b = y

p = 9

h = x

so

tan30 = p/b

1/√3 = 9/b

or, b = 9√3

so

\(h^2 = p^2 + b^2\\x^2 = 9^2 + y^2\\or, x^2 = 81 + (9\sqrt{3} )^2\\or, x^2 = 81 + 243\\or, x ^2 = 324\\or, x =\sqrt{324} \\\\so x = 18\)

Answer: We can set up the following pair of simultaneous equations:

a + c = 6.70 (equation 1) (the total amount of money they have is ₹6.70)

a = c + 1.70 (equation 2) (Alan has ₹1.70 more than Conner)

We can substitute equation 2 into equation 1 to eliminate a:

(c + 1.70) + c = 6.70

Simplifying and solving for c:

2c + 1.70 = 6.70

2c = 5.00

c = 2.50

So Connor has ₹2.50.

We can substitute this value into equation 2 to find the value of a:

a = c + 1.70

a = 2.50 + 1.70

a = 4.20

Therefore, Alan has ₹4.20.

Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

option 4

Step-by-step explanation:

the total interior angle of a triangle adds up to 180º. you're given it's a right triangle (90º) and the angle B, 21º. Add those up and you get 111º. 180º-111º=69º, angle C.

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:

49.45

Step-by-step explanation:

Answer:

\(1<x<3\)

Step-by-step explanation:

Let simplify each of these inequalities individually and then look at where they intersect afterwards

\(x+1<4\\\\x<3\)

And

\(x-8>-7\\\\x>1\)

This means that for these two inequalities to intersect, x must be greater than 1, but less than 3.

This can be represented by the following inequality \(1<x<3\)

Answer:

i think it's x=-1 and x=7

The answer of the following are; A. 16 yellow marbles were chosen

B. 24 marbles were chosen

C. Not enough information.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are obtained data from the question. This include the following:

marble = 40

Black marble =..?

A. From the question given, 3/5 of the 40 marbles were chosen. It therefore means that 2/5 were not chosen and 16 of these were black.

yellow marble chosen = 2/5 x 40 = 16.

Therefore, 16 yellow marbles were chosen.

B. From the question given, 3/5 of the 40 marbles were chosen.

marble chosen = 3/5 x 40 = 24.

Therefore, 24 marbles were chosen.

C. Not enough information because the number of black marbles in the bag was not given, we can not obtain the total number of marbles that were not chosen.

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The probability that at most 2 of the next 10 callers will have to wait more than 8 minutes to have their calls answered is 0.810.

As per the question an online customer service department estimates that about 15 percent of callers have to wait more than 8 minutes to have their calls answered by a person.

The department conducted a simulation of 1,000 trials to estimate the probabilities that a certain number of callers out of the next 10 callers will have to wait more than 8 minutes to have their calls answered.

The simulation is shown in the following histogram(graph provided at the end of solution)

Based on the simulation, according to the bar graph , probability of at most 2 callers out of next 10 callers getting awaited by more than 8min is

P(x≤2) = P(0)+P(1)+P(2) {x is number of persons)

= 0.181+0.345+0.284= 0.810

So required probability is 0.810.

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