Multiply. Write your answer in scientific notation.
(4.3 x 1012) (3.4 x 107)
1.462 x 1020
1.462 * 1019
1.462 * 1084
1.462 * 1085

Answer:

Step-by-step explanation:

1.25/.8=a

\(\frac{5}{4} /\frac{4}{5}\)

1.25/4/5

Answer:

61.9%

Step-by-step explanation:

percent = part/whole × 100%

part = 86

whole = 139

percent = 86/139 × 100%

percent = 61.9%

Answer:

The percent is:

61.87%

Step-by-step explanation:

86 / 139 = 0.6187

0.6187 * 100 = 61.87%

Answer:

9/4 cupcakes or 2 and 1/4

Step-by-step explanation:

3/4 times 3 or 3/1

We have the following equation:

since we need P, we must move k and V to the left hand side as

By substituting the given values, we get

that is, P is equal to 2.

Answer:

-8/3

Step-by-step explanation:

since it's going downwards it's negative and it does 4y by x square so it would be -8/3

, hope it helps

Answer:

Step-by-step explanation:

      Population of the state will reach 40,000,000 in 21 years from year 2005.

      Option (3) will be the correct option.

          F = I(1 + r)ⁿ

          Here, F = Final population

                    I = Initial population

                    r = Growth rate

                    n = Number of years for population growth

Given in the question,

To find the number of years for population growth, substitute the values,

F = I(1 + r)ⁿ

40000000 = 31006000(1 + 0.012)ⁿ

40000 = 31006(1.012)ⁿ

\((1.012)^n=\frac{40000}{31006}\)

\(\text{log}(1.012)^n=\text{log}(1.29)\)

nlog(1.012) = log(1.29)

0.00518n = 0.11059

n = \(\frac{0.11059}{0.00518}\)

n = 21.34

n ≈ 21 years

     Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.

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one over y squared multiply by t squared

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

Answer:

24:
6 of 4
or

8 of 3

Step-by-step explanation:

6x4=24
8x3=24

the fraction of the hour that is taken up by advertising is 13/60.

A fraction is a measure of a ratio between two numbers or a portion of an entire. The numerator is the number above the line, while the denominator is the number below the line. The numerator is the number of the equal parts that make up the whole that are being taken into consideration, whereas the denominator is the total number of equal parts into which the whole is split.

convert 13 minutes to hours.

1 hour = 60 minutes

So, 13 minutes is = 13/60 hours

We can now express this as a fraction:

13/60

Therefore, the fraction of the hour that is taken up by advertising is 13/60.

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Answer:

$19.8($2.7 subtracted off)

Step-by-step explanation:

\(P = 22.5(1 - 12\%)\\P = 22.5(1 - 0.12)\\P = 22.5(0.88)\\P = 19.8\)

Answer:

April

Step-by-step explanation:

If you add 12 months it will be November once more. Then add 5 months which is April.

Answer:

\(\text{Area}=\frac{15(x+1)}{2(x-2)}\)

Step-by-step explanation:

Length of the rectangle given in the picture = \(\frac{5x+5}{x+3}\)

Width of the rectangle = \(\frac{3x+9}{2x-4}\)

Area of the rectangle = Length × Width

                                    = \(\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}\)

                                    = \(\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}\)

                                    = \(\frac{15(x+1)(x+3)}{2(x+3)(x-2)}\)

                                    = \(\frac{15(x+1)}{2(x-2)}\)

Therefore, area of the given rectangle is \(\frac{15(x+1)}{2(x-2)}\).

Answer:

To divide (x^4 - x^2 - 30) by (x^2 + 5), we can use long division. The steps are as follows:

x² - 1

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

x² + 5 | x⁴ - x² - 30

- (x⁴ + 5x²)

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

-6x² - 30

-(-6x² - 30)

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

0

Therefore, the quotient is x² - 1 and there is no remainder.

So, (x^4 - x^2 - 30) ÷ (x^2 + 5) = x^2 - 1.

Answer:

11: 1 tens, 1 ones      17: 1 tens, 7 ones     17 is greater number, it is greater by 6

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

In mathematics, a percentage is any amount that can be stated as a proportion of 100. Also occasionally used are the abbreviations "pct.," "pct," or "pc." But the "%" mark is usually used to indicate it. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. A number should be preceded by the percent sign (%) to denote it is a percent.

Here,

Given :

A weekly unemployment amount is calculated using the following three components:

1. Determine the quarterly wage total (consecutive)

2. Multiply the sum by 26.

3.Multiplying by the rate of unemployment

Calculate the total of a quarterly salaries first:

=> (12950.80 + 12250.10) / 26

=>  25,200.9/26

=> 969.26 * 40 %

=> 387.704

Therefore , the solution of the given problem of percentage comes out to be $387.704 is the weekly unemployment amount.

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Answer:

Sorry it did not load

Step-by-step explanation:

Answer:

the file includes stragetic sth

Step-by-step explanation:

Answer:Can somebody also help me with this. i'm confused please hurry!

Step-by-step explanation:

To draw a tree diagram for randomly choosing a letter from the word "bell" and another letter from the word "beep," follow these steps:

Step 1: Start by drawing a horizontal line. This line represents the first letter selection.

Step 2: Label the branches of the first letter selection with the letters from the word "bell": b, e, l, and l. Each branch represents one of these letters being selected.

Step 3: Extend each branch from Step 2 by drawing vertical lines. These lines represent the second letter selection.

Step 4: Label the branches of the second letter selection with the letters from the word "beep": b, e, e, and p. Each branch represents one of these letters being selected.

Step 5: Connect each branch of the first letter selection (from Step 2) to the corresponding branches of the second letter selection (from Step 4). This creates the complete tree diagram.

Thus, this way, one can create tree diagram.

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Answer:

25

Step-by-step explanation:

Her rate loss in pounds per week is given as follows:

3.75 pounds per week.

Her rate loss in pounds per week is obtained applying the proportions in the context of the problem.

A proportion is applied as the rate loss is given by the division of the loss by the number of weeks.

The parameters are given as follows:

Hence the rate loss is given as follows:

r = 60/16

r = 3.75 pounds per week.

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The base length that will maximize the area for such a window is 168.03 cm. The exact largest value of x when this occurs is 233.39 cm

Suppose we make an assumption that:

Also, provided that the diameter of the semi-circle appears to be the base of the rectangle, then;

and, the perimeter of the window can now be expressed as:

\(\mathbf{x + 2h + \pi r = x + 2h + \dfrac{\pi x }{2}}\)

\(\mathbf{= \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h}\)

Given that the perimeter = 600 cm

∴

\(\mathbf{ \Big ( 1 + \dfrac{\pi}{2}\Big) x + 2h= 600}\)

\(\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x}\)

Since h > 0, then:

\(\mathbf{ h = 300 - \Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) x>0}\)

By rearrangement and using the inverse rule:

\(\mathbf{ x< \dfrac{ 300}{\Big( \dfrac{1}{2} + \dfrac{\pi}{4}\Big) } }\)

\(\mathbf{ x= \dfrac{ 1200}{\Big( 2 +\pi \Big) } }\)

\(\mathbf{ x= 233.39 \ cm }\)

Thus, the largest length x = 233.39 cm

However, the area of the window is given as:

\(\mathbf{A(x) = xh + \dfrac{1}{2} \pi r^2}\)

\(\mathbf{A = x \Big [ 300 - \Big ( \dfrac{1}{2}+\dfrac{1}{4} \Big) x \Big ] +\dfrac{1}{2}\pi \Big(\dfrac{x}{2} \Big )^2}\)

\(\mathbf{A (x) = 300x - \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ cm^2}\)

Now, at maximum, when the area A = 0. Taking the differentiation, we have:

\(\mathbf{\dfrac{d}{dx} 300x - \dfrac{d}{dx} \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) x^2 \ =0}\)

\(\mathbf{ 300 - 2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \ =0}\)

Making x the subject of the formula, we have:

\(\mathbf{x = \dfrac{1200}{4 +\pi}}\)

x = 168.03 cm

Taking the second derivative:

\(\mathbf{\dfrac{d}{dx} \Big [300 -2x \Big( \dfrac{1}{2} + \dfrac{\pi}{8}\Big) \Big]}\)

\(\mathbf{= -2 \Big( \dfrac{1}{2}+\dfrac{\pi}{8}\Big ) <0}\)

Therefore, we can conclude that the maximum area that exists for such a window is 168.03 cm

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

7.5

Step-by-step explanation:

7.52100840336

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

Complementary

Step-by-step explanation:

You are correct.

Answer:

Complementary

Step-by-step explanation:

b + a = 90 degrees.

complementary is 2 angles that add up to 90 degrees