A bike race takes place over a 3 mile course. How many feet is it?

a
15280 ft
b
3000 ft
c
15,840 ft
d
15000 ft

the answer is 4160$

     After 6 years of investment of $3200 compounded continuously, final amount in the account will be $4319.55.

Moneysaver's Bank offers a saving account with the features as,

Expression to calculate the final amount when compounded continuously,

Final amount = [tex]P.e^{rt}[/tex]

Here, P = Principal amount

r = Rate of interest

t = Duration of investment

By substituting the values in the expression,

Final amount = [tex]3200.e^{0.05\times 6}[/tex]

                      = 3200(1.3498588)

                      = 4319.548

                      ≈ $4319.55

  Therefore, after 6 years of investment of $3200, final amount in the account will be $4319.55.

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Answer:

A Supplementery

Step-by-step explanation:

they show on usa test prep

The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).

Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.

For example, consider the following pair of angles:

Angle A measures 80 degrees.

Angle B measures 100 degrees.

The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.

As per the given figure, we have two angles UVZ and WVZ

As indicated in the image, the best description for the given pair of angles is supplementary.

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Using the Central Limit Theorem, it is found that a sample size of 13 is needed.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, using a calculator:

The sample size needed is n when [tex]s = 4[/tex], as by the Empirical Rule, 95% of the measures are within 2 standard errors of the mean, hence [tex]2s = 8 \rightarrow s = 4[/tex]

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

[tex]4 = \frac{14.07}{\sqrt{n}}[/tex]

[tex]4\sqrt{n} = 14.07[/tex]

[tex]\sqrt{n} = \frac{14.07}{4}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{14.07}{4}\right)^2[/tex]

[tex]n = 12.37[/tex]

Rounding up, a sample size of 13 is needed.

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The answer would e number B.

Answer:

Answer is A

Step-by-step explanation:

Subtract 47 from both sides to get 0

3x² - 18x - 42 = 0

Use Quadratic formula to get

[tex]3+\sqrt{23} \\3-\sqrt{23}[/tex]

Answer:

Step-by-step explanation:

Perpendicular lines are lines, segments or rays that intersect to form right angles. The symbol ⊥ means is perpendicular to . In the figure, PR⊥QS. The right angle symbol in the figure indicates that the lines are perpendicular. PLS MARK BRAINLIEST :D

Answer:

Step-by-step explanation:

round to 2 places 0.966: 1.00

Answer:

The answer is C.

Step-by-step explanation:

Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.

5.5 - 8

=> -2.5

Now, let's turn -2.5 back in fraction form.

=> -2 1/2

Therefore, C is the answer

Answer:

Using a calcuator, [tex]7.6^{2} =57.76[/tex]

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

Hope it helps!

Brainliest pls!

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Answer:

576 adults

Step-by-step explanation:

The 5 part of the ratio relates to 720 children, then

720 ÷ 5 = 144 ← value of 1 part of the ratio , then

4 parts = 4 × 144 = 576 ← number of adults

Answer:

576

Step-by-step explanation:

Adults : Children

      4  :  5

     x   :  720

Let the number of adults be x.

Use cross multiplication.

  [tex]4 : 5\\ x : 720\\[/tex]

[tex]4 *720=5*x[/tex]

[tex]\frac{4*720}{5} =\frac{5x}{5}[/tex]

4 × 144  = x

576 = x

Hope this helps you.

Let me know if you have any other questions :-)

Answer:3:1

Step-by-step explanation:

There are 2 sports cars out of a total of 8 total cars, so there are 2 favorable outcomes, and 8−2=6 unfavorable outcomes.

The odds against choosing a sports car are 6:2.  

Both numbers are divisible by 2, so this ratio can be simplified to 3:1.

The number of calories in 14 brownies is 233 calories.

The first step is to determine the average calorie in 1 brownie.

Average calorie = 50 calories / 3 = 16.667 calories

In order to determine the number of calories in 14 brownies, multiply the average calorie by 14 brownies.

Total calories = 16.67 x 14 = 233 calories

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only figure 1 and figure 3 are similar.

Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.

In figure 1, two of the sides (16 and 9 ) are perfect square and third is not.

If we take the ratio of three side as

16:9:12

(4)²:(3)²:(2√3)²

Similarly, In figure 3 two of the sides (64 and 36 ) are perfect square and third is not.

If we take the ratio of three side as

64:36:48

(8)²:(6)²:(4√3)²

Comparing the ratios of both figure, the figure 3  has twice the measurement of figure 1 sides.

Hence, only figure 1 and 3 are similar.

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Answer:

3.5 cups of sugar per bag.

Step-by-step explanation:

17.5/5

3.5 cups of sugar are used to make 1 bag of cotton candy

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

For 5 bags of candy = 17.5 cups of sugar needed

and, For 1 bags of candy

=17.5/ 5

=3.5 cups of sugar needed

hence, 3.5 cups of sugar are used to make 1 bag of cotton candy

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Answer:

200:450 that would be the answer i believe

Answer:

0.48£

Step-by-step explanation:

(3x8)/50=0.48£

Answer:

Both

Step-by-step explanation:

An arithmetic sequence is given by the next form:

[tex]a_{n} = a_{1} + (n-1)d[/tex]

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So the given sequence is of the form, because the common difference between terms is 0.

[tex]a_{n} = 31 + (n - 1) 0 = 31[/tex]

A geometric sequence is given by the next form

[tex]ar^0, ar^1, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]

When [tex]r\neq 0[/tex]

In this occasion our [tex]a=31[/tex] and the [tex]r = 1[/tex]

So both sequence represent the given one.

Answer:

-9-(-10)

=-9+10

=1

Answer:

5.45 then 6.454 then 5425 then 12825

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

3x+2(x+6)-4-2x.

First, we do the parenthesis.

This gives us: 3x+2x+12-4-2x.

Then, we reorder so like terms are together.

This gives us: 3x+2x-2x+12-4.

Then, we combine like terms.

This gives us: 3x+8, which is C.

Answer:

He got 75% correct

Step-by-step explanation:

72/96 = 3/4 = 0.75

0.75 × 100 = 75%

Step-by-step explanation:

Camilla started her collection with 20 buttons, meaning that this number is a constant, and that it will not change: (+20)

She then collects 5 buttons per month. Month is represented by the variable, x (given by the question), and there are 5 per month (so you multiply).

Set the equation:

Total pins = Amount of pins per month x amount of months + Amount of pins started.

y = 5x + 20

In this case, plug in the amount of months (x) to obtain your total (y):

When x = 0, y = 20

y = 5(0) + 20

y = 0 + 20

y = 20

When x = 1 , y = 25

y = 5(1) + 20

y = 5 + 20

y = 25

When x = 2, y = 30

y = 5(2) + 20

y = 10 + 20

y = 30

When x = 3, y = 35

y = 5(3) + 20

y = 15 + 20

y = 35

When x = 4, y = 40

y = 5(4) + 20

y = 20 + 20

y = 40

~

Note: This is a linear graph, so you can choose any of these given points (and more if you want to plot more). I would choose two that aren't too close to each other, unless you want a really small graph size.

Answer:

(2, -6)

Step-by-step explanation:

1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)

Therefore, the ordered pair that describes the location of C' is (2, -6).

Answer:

(2, -6)

Step-by-step explanation:

Answer:

[tex]3\dfrac{1}{4} \ \ or \ \ 3,25[/tex]

Step-by-step explanation:

[tex]\displaystyle12 \frac{3}{8} -9\frac{1}{8} =12-9+\frac{3}{8} -\frac{1}{8} =3+\frac{2}{8} =3\frac{1}{4} \ \ or \ \ 3,25[/tex]

Answer:

between 2 and 3

Step-by-step explanation:

see how it crosses the x axis a little after 2, so it's between 2 and 3

Answer:

width = 6

Step-by-step explanation:

We can think of the width as x and the height as 3x-6. the perimeter formula is (width + height)*2, since we have x as width and 3x-6 as height, we can put it in the formula, which will get you (x + 3x-6)*2 = 36, if we devide both sides by 2, we'll get (x + 3x - 6) = 18, when we simplify it, we will get 4x-6 = 18, which can then be simplified into 4x = 24, which will get you that x = 6

Hope it helped :)

Answer:37.5

Step-by-step explanation:

2 1/2 as an improper fraction is 5/2

If i'm wrong tell me please i hope this helped you

Answer:

7

Step-by-step explanation:

15-8 is 7

16-8 is 7

17-10 is 7

18-11 is 7

this fits the eqation.

hope this helps you