The circumference of a circular pond is 300 pi ft. A model boat is moving directly across the pond along the diameter at a rate of 4 feet per second. How long does it take the boat to get to the other side?

Part A: Draw the pond and label what you know from the problem above.

Part B: What is the diameter of the pond?

Part C: How many seconds does it take the boat to get to the other side of the pond?

Answer:

5 + 5 = 10

10 + 10 = 20

20 + 20 = 40

40 + 40 = 80

80 is the answer.

Answer:

65,754.6

Step-by-step explanation:

When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.

Answer:

Red: y=4

Green: x=-1

Yellow: x=6

Blue: x=-2

Step-by-step explanation:

The lines are all passing through the Axis, so there is no slope for each line.

[tex]\text{Consider the slope - intercept form} ~y = mx +c,\\\\ \text{where m is the slope and and c is the y-intercept.}\\\\(a) \\\\y = -\dfrac 12 x +8 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =}-\dfrac 12 ~ \text{and}~ \text{y - intercept , c =8}\\\\(b)\\\\y = 9x -2 \\\\\text{This is in a form of y = mx +c, so}\\\\\text{Slope, m =9}~ \text{and}~ \text{y - intercept ,}~ c =-2\\\\[/tex]

Answer:

x = 2.3

Step-by-step explanation:

x = 5*(13-12.54) = 2.3

Answer:

127.7

Step-by-step explanation:

you do 12.54 + 13 = 25.54

then 25.54 x 5 = 127.7

Answer:

I am going to guess that shape you are trying to find is an triangle

30˚

Step-by-step explanation:

A triangle angle is 180˚

So add 121 and 29

Which is 150

180 - 150 which is 30

So the missing angle is 30˚

Hope this helps!

Answer:

x= 5 ........................ .......

2q

Answer:

solution given:

[tex]log_{10} n=q[/tex]

now

[tex]  Log_{10 }n^2=?[/tex]

by using property of logarithms

[tex]log_{a} n^p=p log_{a}n [/tex]

now

[tex]  Log_{10 }n^2=2 Log_{10 }n[/tex]

=2q

since [tex]log_{10} n=q[/tex]

Step-by-step explanation:

Answer:

equation : P(x) = 5x+60

Table :

If x (levi sells this many computers)

then y (levi makes this much money)

x : 0 ; 1 ; 2 ; 3 ; 4 ; 5 so on...

y : 60 ; 65 ; 70 ; 75 ; 80 ; 85 so on...

Step-by-step explanation:

This equation can be modeled by P(x) = 5x+60

P= levi's total pay

x = number of computers sold

This equation can be input into a graphing calculator to find a table of the corresponding x and y values for this equation. To solve without using a calculator, plug in a certain value for x in the equation and solve for y to get its corresponding value.

the average weight of 4boys 39.6 is Wight

Answer:

4

3

+

5

9

2

−

8

0

Step-by-step explanation:

Step-by-step explanation:

-2a + x

Putting values of a = - 2 and x = 7

-2(-2) + 7

4 + 7

= 11

The factorization of the given expression is 2ab(b²+4a).

The given expression is 2ab³+8a²b.

A number's factors are those that divide into another number equally. A number is factorized when it is written as the sum of smaller numbers.

The given expression can be factorize as follows:

2ab³+8a²b

Here, 2ab is the common factor from both the terms, Take it out side the bracket.

That is, 2ab(b²+4a)

Therefore, the factorization of the given expression is 2ab(b²+4a).

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Answer:

0.75 And 75%

Step-by-step explanation:

If 3/4 came then 25, 50, 75, 100 what is the 3rd number of of those 4

Answer:

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

Pumpkins are used as decorations during the fall months.

[tex]\text{Given that,}\\\\\cos \theta = - \dfrac 23\\\\\implies \cos^2 \theta = \dfrac 49\\\\\implies 1- \sin^2 \theta = \dfrac 49\\\\\implies \sin^2 \theta =1-\dfrac 49\\\\\implies \sin^2 \theta =\dfrac 59\\\\\\\text{Now,}\\\\\cot^2 \theta = \dfrac{\cos^2 \theta}{\sin^2 \theta} \\\\\\\implies \cot^2 \theta = \dfrac{\tfrac 49}{\tfrac 59}\\\\\\\implies \cot^2 \theta = \dfrac 49 \times \dfrac 95\\\\\\\implies \cot^2 \theta = \dfrac 45\\\\\\[/tex]

[tex]\implies \cot \theta = \pm\sqrt{\dfrac 45} = \pm \dfrac 2{\sqrt 5}\\\\\\\text{Since}~ \theta ~ \text{lies in the second quadrant,} \cot \theta ~\text{will be negative.}\\\\\text{Hence,}~ \cot \theta = - \dfrac{2}{\sqrt 5}[/tex]

Answer:

yysywywyyw7e7eueuuwuwuuwueu3u3

Answer:

[tex]\huge\color{green}\boxed{\colorbox{black}{Answer ☘}}[/tex]

To find - sum of the given two terms.

[tex](4 + 3x) + (5 - 4x + 2x {}^{2} ) \\ 4 + 3x + 5 - 4x + 2x {}^{2} \\ = > 2x {}^{2} - x + 9[/tex]

[tex]\color{purple}\boxed{\colorbox{black}{Additional Information♡}}[/tex]

we basically added the like terms together..

like, the terms ( 3x and -4x ) will be added together.. and the terms ( 4 and 5 ) will be added together...

since there's none other term having "x²" as the coefficient.. so 2x² will be left as it is!

hope helpful~

The sum of the expression 4+3x and 5-4x+2x² is 2x² + 7x + 9

Given:

4+3x

5-4x+2x²

(4+3x) + (5-4x+2x²)

= 4 + 3x + 5 - 4x + 2x²

= 2x² + 3x - 4x + 5 + 4

= 2x² + 7x + 9

Therefore, the sum of the expression is 2x² + 7x + 9

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The function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

The points on the graph are given as:

[tex](x,y) = (-3,3)[/tex] --- the inflection point

[tex](x,y) = (0,4.5)[/tex] --- the y-intercept

The function that satisfy the above points is:

[tex]y = \sqrt[3]{x+3} + 3[/tex]

The proof is as follows:

At the inflection point, we have the x value to be -3.

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{-3+3} + 3[/tex]

[tex]y = \sqrt[3]{0} + 3[/tex]

[tex]y = 0+ 3[/tex]

[tex]y = 3[/tex] ---- the y-value at the inflection point is true for x = -3

Also, at the y-intercept, we have the x-value to be 0

So, the function becomes

[tex]y = \sqrt[3]{x+3} + 3[/tex]

[tex]y = \sqrt[3]{0+3} + 3[/tex]

[tex]y = \sqrt[3]{3} + 3[/tex]

[tex]y = 1.45+ 3[/tex]

[tex]y = 4.45[/tex] ---- the y-value at the y-intercept is true for x = 0

Hence, the function represents the graph is (d) [tex]y = \sqrt[3]{x+3} + 3[/tex]

Read more about graphs and functions at:

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Answer:

D

Step-by-step explanation:

The interpretation of the value of s being 0.67 is that: the typical distance between the observed grade points and predicted grade points was about 0.67 points.

The given parameters are:

In regression, the variable s represents the average distance that the observed values fall from the regression line

In this case, we have:

Hence, 0.67 represents the typical distance between the observed grade points and predicted grade points.

Read more about regression at:

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Answer:

4000 sqft

Step-by-step explanation:

you multiply 5*10 which equals 50 then 8*10 which equals 80 then to find area you multiply 50*80 which equals 4000 sqft

Answer:

  the top two

Step-by-step explanation:

For a function to be invertible, it must pass the "horizontal line test." That is, there can be no horizontal line that will intersect the graph in more than one place. The bottom two graphs fail this test, so do not represent invertible functions.

The two top graphs show invertible functions.

Answer:

10\frac{7}{12}

Step-by-step explanation:

First thing you want to do is find the common denominator for \frac{1}{3} and \frac{3}{4}. You do this by multiplying to denominators together, so 3*4=12.

Next, multiple the numerators with the opposite denominator. 1*4=4 and 3*3=9.

Now you are left with \frac{4][12] and \frac{9}{12}.

Add those back to your numbers

16\frac{4}{12} - 5\frac{9}{12} = 10\frac{7}{12}

Answer: 420 dollars.

Step-by-step explanation:

Answer:

Total income, $420.

Step-by-step explanation:

if $84 is 20% of freds income, then freds income could be modeled by the equation

Income = 84/.2 which equals $420 ((((ganggang)))

to check this, you can take his total income (420) and multiply it by 20%, and if we get 84, we are correct, 20% of freds income($420) IS in fact $84.

420*.2 = $84 proving ourselves to be correct.

Answer:

Very sorry if this is no help

Step-by-step explanation:

Answer:

y=1.58

Step-by-step explanation:

7=4(3y-3)

Simplify the distributive property.

7=12y-12

Add 12 to both sides.

19=12y

Divide 12 on both sides.

1.58=y

-hope it helps

Answer:

  0.4 kg

Step-by-step explanation:

A proportion can be used to find the amount of sugar.

  x/(1.1 L) = (0.1 kg)/(0.275 L)

  x = (1.1)(0.1)/0.275 kg = 0.4 kg

Angela needs 0.4 kg of sugar for her biscuits.

Answer:

Bonds are among a number of investments known as fixed-income securities. They are debt obligations, meaning that the investor loans a sum of money (the principal) to a company or a government for a set period of time, and in return receives a series of interest payments (the yield).

Step-by-step explanation:

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180