x+3y=15 what is the slope

Solving for the circumference and using the formula for the circumference we got the radius as 74.95 feet

Given Data

1/4 of the circumference = 117.75 feet.

Let the circumference be x feet

1/4*x = 117.75

x/4 = 117.75

cross multiplying

x = 4*117.75

x = 471 feets

The expression for the circumference is given as

C = 2πr

471 = 2πr

Making r subject of formula we have

r =  = 471/2*3.142

r = 471/6.284

r = 74.95 feet

Learn more about Circles here

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Using the definition of the absolute value function, it is found that the equation is written as: y = x + 4

It is the distance of a given point x to the origin(vertex of the function), hence the definition is as follows:

[tex]|x - a| = x - a, x \geq a[/tex]

[tex]|x - a| = -x + a, x < a[/tex]

Hence, considering that all expression are positive for x > 5, we have that:

Then, the expression is:

y = |x−3| + |x+2| − |x−5|

y =  x - 3 + x + 2 - x + 5

y = x + 4

More can be learned about the absolute value function at https://brainly.com/question/24734454

Answer:

7/7

I hope that helped! :)

Answer:

7/7

Step-by-step explanation:

to have a whole you must have the same numerator and denominator because its a fraction split into portions so if you have a cake thats split into 10 pieces if you got rid of a piece it would no longer be a whole it would be 9/10 of the cake so use that for the future

Answer:

1.333

Step-by-step explanation:

Distance travelled (or displacement) will be the antiderivative of Velocity.

Antiderivative of -t^2 + 2 =

d(t) = -t^3/3 +2t

Now plug in t=2 and t=0 and subtract them.

(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333

Answer:

1.333

Step-by-step explanation:

We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.

x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)

= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...

Answer:

7

Step-by-step explanation:

Answer:

[tex]\frac{35}{32}[/tex]

Step-by-step explanation:

1. (7/8) * (5/4)

2. (7)(5)

   (8)(4)

Bonus : 35/32 as a decimal is 1.09375

Awnser provided by Education Point

Answer:

3 1/7 however, the reciprocal is 7/22, or, 7 1/3.

explanation:

Convert improper fraction to mixed number.

7 x 3 = 21

Add 1 to get 22.

Now, convert and reverse the order.

Therefore,

the answer is [tex]3\frac{1}{7} / 7\frac{1}{3}[/tex]

Answer:

35 students

Step-by-step explanation:

So if every 3 boys there is 4 girls you can solve that there is 5 times the amount of girls to get to 20. So to solve for the boys you do the same.

3 x 5 = 15

That means there are 15 boys and 20 girls but we want to know the total so what you do is just add 15+20=35

So 35 total students.

Hope that helps and have a great day!

Answer:

[tex]0.65[/tex]

Step-by-step explanation:

Given the following question

7 notepads cost $4.55 what's the unit price?

Unit price is price per unit, we find the price per unit by dividing the total cost of the notepads by the total amount of the notepads which is 7.

[tex]unitp=cost\div quantity[/tex]
[tex]7n=4.55[/tex]
[tex]4.55\div7=0.65[/tex]
[tex]=0.65[/tex]

The unit price of the seven notepads is "$0.65."

Hope this helps.

Answer:

13.01d − 2.65

The liked terms are "3.26d + 9.75d". Just add them accordingly.

Answer:

b. 61 mph to 139 mph

Step-by-step explanation:

Chebyshev's theorem states that

For k> 1

1 - 1/k²

Where:

At least 75% or 3/4 of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

From the question, we are told to find an interval that will contain the speeds of at least eight-ninths of the player's serves.

Mean (μ)= 100mph

Standard deviation (σ) = 13mph

At least 88.89% of 8/9 of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Hence:

μ - 3σ

100 - 3(13)

= 100 - 39

= 61 mph

μ + 3σ

= 100 + 3(13)

= 100 + 39

= 139 mph

Therefore, the interval is between 61 mph to 139 mph. Option b is correct

Answer:

y=1/2x-3

Step-by-step explanation:

starting at the origin, you go down 3 to reach the line/point, hence the -3. Then you go up 1 over the right 2 to get reach the point, hence the 1/2.

It would not be negative 1/2 because we didn't go down 1 to the right.

Answer:

(-3,-2)

Step-by-step explanation:

Equations are

Solve both

On solving

Graph is also attached if you need another way

Answer:

(-3, -2)

Step-by-step explanation:

When the two lines intersect, f(x) = h(x)

2x + 4 = -1x - 5

Rearranging like terms together

3x = -9

x = -3

Substituting back into h(x) for x = -3

y = h(3) = 2(-3) + 4 = -2

So the point is (-3, -2)

Answer: 120

Step-by-step explanation: u just multiply the 2 numbers together

Answer:

2/3 is simplest form

Step-by-step explanation:

you find the greatest common factor of both numbers, in this case it is 7. Then, you divide both numbers by the greatest common factor to get the simplest form.

hope this helps ☺

Answer:

2/3 is

Step-by-step explanation:

Answer:

Step-by-step explanation:

-31 cannot equal 5 so the equation is false.

Answer:

n=8

Step-by-step explanation:

So, |n-3| means that the expression, n-3, is an absolute number (which is the difference from zero; just take off the negative sign if it has one)

Because the left side of the equation, 5, is a positive number, you would know that the equation can be solved by:

n-3=5       add 3 to both sides

n=8

You should also know that the absolute number (shown using | |) is not a negative number. (well, as long as the n is a real number)

Hope that helps!!!

Answer:

32/75 in fraction form 0.426 in decimal

Step-by-step explanation:

0.64 2/3

convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25

64 ÷ 4 = 16

___

100 ÷ 4 = 25

16/25 × 2/3 = 32/75

16 × 2 = 32

___

25 × 3 = 75

The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.

The whole number part is 0.64, and the fractional part is 2/3.

To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.

Step 1: Convert the decimal to a fraction.

0.64 = 64/100

Step 2: Combine the whole number part and the fractional part.

0.64 2/3 = 64/100 + 2/3

Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).

0.64 2/3 = (64/100) + (200/300)

Step 4: Add the fractions.

0.64 2/3 = (64/100) + (200/300) = 264/300

Step 5: Simplify the fraction, if possible.

264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.

264 ÷ 4 = 66

300 ÷ 4 = 75

So, the simplified fraction form of .64 2/3 is 66/75.

To know more about fraction form:

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#SPJ2

your answer is false

your welcome

Answer:

True

Explanation:

Any real numbers can equal 0 except 1.

Answer:

Rate of Change is 2

Step-by-step explanation:

The y values are changing by 4

The x values are changing by 2

Rate of change = Change of y/Change of x

4/2=2

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

[tex]T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75[/tex]

[tex]T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3[/tex]

Answer:

13 times 1 1/2 is 19 1/2 and 19 1/2 times 9 is 175 1/2 and 175 1/2 divided by 12 is 14 5/8 so the answer is 14 5/8

Step-by-step explanation:

Answer:

Fourth option

Step-by-step explanation:

Given the following question:

[tex]f(x)=-12x+15[/tex]

The domain of a function is all possible x inputs for a function, on the contrary range of a function would be all possible y inputs for a function.

[tex]f(x)=-12x+15[/tex]

Since the function has all defined points, it basically means that the functions possible x inputs are "all real numbers" or the fourth option.

[tex]-\infty \: < x < \infty[/tex]

Hope this helps.

Answer:

Step-by-step explanation:

Pay attention to the coordinates.

Because you are asked to find the perimeter, you need to determine the length of each side.

If the line is horizontal - you look at the x-coordinates. What's the distance between point A to point C?

For the diagonal sides you can use this formula:

d = Square root[( x 2 − x 1 ) ^2 + ( y 2 − y 1 ) ^ 2]

Answer:

a

Step-by-step explanation:

divide each price by the number of juice packs they got, then subtract the smaller number from the larger one. you get 0.15

Hello!

Let's consider what the question asks for

--> value of 'y' when 'x = 0'

   -7x + 3y = 30

Let's plug in '0' into x and solve for 'y'

  [tex]-7x+3y=30\\\\-7(0)+3y=30\\\\y=10[/tex]

Thus y = 10 when x = 0

Answer: 10

We are given the equation:

To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:

Simplifying the equation:

Dividing both sides by 3:

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]