Find the missing term. . . . 14, __, 15, . . .

Answer:

[tex]5\ shifts[/tex]

Step-by-step explanation:

we know that

To find out the number of shifts per day, divide the total number of hours per day the pool is open by each lifeguard's shift.

Convert to an improper fraction first

[tex]7\frac{1}{2}\ h=\frac{7*2+1}{2}=\frac{15}{2}\ h[/tex]  

[tex]1\frac{1}{2}\ h=\frac{1*2+1}{2}=\frac{3}{2}\ h[/tex]  

so

[tex](15/2)/(3/2)=15/3=5\ shifts[/tex]

Answer:

[tex]f'(-8)=\frac{9}{64}[/tex]

Step-by-step explanation:

Given the function

[tex]f(x)=\frac{-9}{x}[/tex]

We can rewrite it as

[tex]f(x)=-9x^{-1}[/tex]

Now we can apply the power rule

[tex]f'(x)=9x^{-2}[/tex]

Now we can rewrite it

[tex]f'(x)=\frac{9}{x^{2} }[/tex]

Now we can plug in x=-8

[tex]f'(-8)=\frac{9}{(-8)^{2} }\\f'(-8)=\frac{9}{64}[/tex]

The derivative of f(x) = -9/x at x = -8 is 9/64.

To find the derivative of f(x) = -9/x at x = -8, we can use the power rule for differentiation. The power rule states that if we have a function of the form f(x) = x^n, then the derivative of f(x) is given by f'(x) = n*x^(n-1).

In our case, the function is f(x) = -9/x. Rewriting it as f(x) = -9*x^(-1), we can apply the power rule and find that the derivative is f'(x) = (-1)*(-9)*x^(-1-1) = 9/x^2.

Substituting x = -8 into the derivative formula, we get f'(-8) = 9/(-8)^2 = 9/64.

Answer:

c = 11/4

Step-by-step explanation:

One way of doing this is to let 2c = x.  Then our equation becomes

2x + x = 2x + 11/2, or x = 11/2.

But 11/2 = 2c.  Thus, c = 11/4

Answer:

[tex]u=3w-4.5[/tex]

Step-by-step explanation:

we have

[tex]-2u+6w=9[/tex]

Solve for u

That means ------> isolate the variable u (dependent variable)

Subtract 6w both sides

[tex]-2u=9-6w[/tex]

Divide by -2 both sides

[tex]u=(9-6w)/(-2)[/tex]

[tex]u=3w-4.5[/tex]

Answer: u = -9/2 + 3w

Step-by-step explanation:

Hi, An Independent Variable in an Equation is a variable that may have its value freely chosen without considering values of any other variable. Is also known as the input value of a function.

So, to rearrange we have to isolate u:

-2u+6w=9

-2u =9 -6w

2u = -9 +6w

u= (-9 +6w)/2

u = -9/2 + 3w

Feel free to ask for more if needed or if you did not understand something.

La respuestaaaaaaaaaaaaaaa

i believe 68 is the answer.

68! Is the correct answer

Shown below

This is a step function which is a type of function defined by two or more functions. To write the function, we can follow these steps:

STEP 1. A linear function.

This function goes from [tex]-\infty[/tex] to [tex]2[/tex] without including this last value in the domain because at [tex]x=2[/tex] we have a hole. By writing the equation:

[tex]The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1})[/tex]

So:

[tex]P_{1}(1,0) \\ P_{2}(2,2) \\ \\ y-0=\frac{2-0}{2-1}(x-1) \\ \\ y=2(x-1) \therefore \boxed{y=2x-2}[/tex]

[tex]f(x)=2x-2, \ \ -\infty<x \leq 2[/tex]

STEP 2. Constant function.

This function goes from [tex]2[/tex] to [tex]5[/tex] including both values in the domain because at [tex]x=2[/tex] and at [tex]x=5[/tex] we have dots.

So:

[tex]f(x)=4, \ \ 2 \leq x \leq 5[/tex]

STEP 3. Linear function.

This is also a linear function but goes from [tex]5[/tex] to [tex]+\infty[/tex] without including [tex]x=5[/tex] in the domain because we have a hole here. By writing the equation:

So:

[tex]P_{1}(5,6) \\ P_{2}(6,7) \\ \\ y-6=\frac{7-6}{6-5}(x-5) \\ \\ y=x-5+6 \therefore \boxed{y=x-1}[/tex]

[tex]f(x)=x+1, \ \ 5<x \leq +\infty[/tex]

Finally, our step function is:

[tex]f(x)=\left\{ \begin{array}{c}2x-2,\;-\infty<x\leq2\\4,\;2\leq x\leq5\\x+1,\;5<x\leq+\infty\end{array}\right.[/tex]

The fraction of the cleaning solution that is vineger​ is 1/16

What fraction of the cleaning solution is vineger​

From the question, we have the following parameters that can be used in our computation:

Ratio = 1 to 15

This means that

Vinegar : Others =1 : 15

Where, we have

Total = 1 + 15

Total = 16

Also, we have

Vinegar = 1

Using the above as a guide, we have the following:

Fraction of vinegar = 1/16

Hence, the fraction of the cleaning solution that is vineger​ is 1/16

Question

A spray bottle holds up to 1 cup of the cleaning solution when the spray bottle is full what fraction of the cleaning solution is vineger​ if the ratio of vinegar to content is 1 to 15

Answer:

Step-by-step explanation:

i like to visualize it on a graph, it is a lot easier,

but the answer is (3,-6)

Answer:

4

Step-by-step explanation:

This equation is in a reversed form of slope-intercept, or y=mx+b. In this form, b is the y-intercept and in the equation b is equal to 4 and the slop is 2!

Answer:

62

Step-by-step explanation:

2* 2*3 + 5*10 = 12 + 50 =62

Answer:

The answer is 62.hope this helps.☻♥

Answer:

I believe the answer her is D.

Step-by-step explanation:

Answer: A

Step-by-step explanation: This Is A. every X Value In That Table Corresponds To Exactly One Y Value.

Answer:

12x + 30y

156

Step-by-step explanation:

To use the distributive property, you multiply the number or quantity outside the parentheses (6 in this problem) by each of the numbers or quantities inside the parentheses (2x and 5y in this problem).

You started out correctly writing 6(2x), but then you must multiply 6 by 5y too, so you should get 6(2x) + 6(5y). Then you do the two multiplications to get 12x + 30y.

Here are the steps:

6(2x + 5y) =

= 6(2x) + 6(5y)

= 12x + 30y

The expression is: 12x + 30y

Now we use the expression with the values x = 3 and y = 4 to find the area.

12x + 30y =

= 12(3) + 30(4)

= 36 + 120

= 156

Answer:

2

Step-by-step explanation:

The slope of a line is found by using

m = (y2-y1)/(x2-x1)

    (10-4)/(1--2)

    6/(1+2)

   6/3

    2

Answer:

-3.3

Step-by-step explanation:

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator.

Answer:

-2.3 - (4.5 - 3½) = -3.3

Step-by-step explanation:

Hope this helps.

Answer:

A = 30m + 35

Step-by-step explanation:

let A be the amount saved and m represent month

Note the difference in the amount saved is constant, that is

185 - 155 = 155 - 125 = 125 - 95 = 95 - 65 = 30

We can express this as

A = 30m + c

To find c use any pair from the table and substitute into the equation

using (3, 125) then

125 = (3 × 30) + c

125 = 90 + c ( subtract 90 from both sides )

c = 125 - 90 = 35, thus

A = 30m + 35 ← linear relationship

As a check

When m = 4, A should be 155

A = (4 × 30) + 35 = 120 + 35 = 155 ← correct

Linear function representing the table is

A(m) = 30m + 35

Answer:

x=8

Step-by-step explanation:

9        3

---- = -----

24      x

Using cross products

9 * x = 3 * 24

Divide each side by 9

9x/9 = 3*24/9

x = 3/9 * 24

x = 1/3 *24

x = 8

Answer:

3

Step-by-step explanation:

Find the prime factorization of 81, which is 3 x 3 x 3 x 3. Next, do the same with 48, which is 2 x 2 x 2 x 2 x 3. Lastly, to find the gcf, multiply the prime factors that are common to both numbers. The GCF is 3

The required greatest common factor of 48 and 81 is 3.

To find the greatest common factor (GCF) of 48 and 81, we need to determine the largest number that evenly divides both 48 and 81.

We can start by listing the factors of each number:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 81: 1, 3, 9, 27, 81

From the lists, we can see that the common factors of 48 and 81 are 1 and 3. However, we are looking for the greatest common factor, which in this case is 3.

Therefore, the greatest common factor of 48 and 81 is 3.

Learn more about the greatest common factor here:

https://brainly.com/question/31016525

#SPJ6

Answer: second option.

Step-by-step explanation:

By definition, a function is even when:

[tex]f(x) = f(-x)[/tex]

Then, knowing this, given the function [tex]f(x)=x^3 +5x+1[/tex] you can substitute [tex]-x[/tex] into this function:

[tex]f(-x)=(-x)^3 +5(-x)+1[/tex]

Now you need to simplify the function. Then you get:

 [tex]f(-x)=-x^3 -5x+1[/tex]

In this case, you can see that:

 [tex]f(x)\neq f(-x)[/tex]

Therefore, the function [tex]f(x)=x^3 +5x+1[/tex] is not even.

As you observed in the procedure above, the statement that best describes how to determine whether the given function is even is:

Determine is [tex](-x)^3 +5(-x)+1[/tex] is equivalent to [tex]x^3 +5x+1[/tex]

Answer:

Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...

Step 2: Subtract the second equation from the first.

Step 3: Solve this new equation for y.

Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.

Step-by-step explanation:

Answer:

To solve a system of linear equations, we eliminate a variable from the equations by multiplying its coefficient with a suitable number so that they cancel out each other.

Then we are left with only one variable and we add/subtract them to get their value.

When we get the value of one variable, we can substitute it in either of the equations to find the value of the other variable.

Answer:

The exponential regression equation for the data set is;

[tex]y=0.3258e^{0.1074x}[/tex]

Step-by-step explanation:

Exponential regression can easily be carried out in Ms. Excel. The first step is to enter the data in any two adjacent columns with the headers x and y in order to differentiate the response from the predictor variable.

The next step is to highlight the data, click the insert ribbon and choose the scatter-plot feature. This step will create an x, y scatter-plot for the data. The next step we click on the Add-Chart Element feature and add an exponential trend line to the scatter-plot while ensuring the Display Equation on chart is checked.

Ms. Excel provides the following exponential regression equation that models the data;

[tex]y=0.3258e^{0.1074x}[/tex]

Answer:

-10 + 90x + 6x - 60

= 96x - 70

Answer:

96x - 70

Step-by-step explanation:

Remove the brackets on both expressions.

-10 + 90x + 6x - 60

Add the xs together.

-10 + 96x - 60

combine the - 10 and - 60

96x - 70

Don't go any further. Nothing else combines.

Answer:

0.915

Step-by-step explanation:

move the decimal two to the left and take a the percentage

Answer:

The answer is .915

Step-by-step explanation:

91.5/100 = .915

Answer:

Box=0.95

Orange bag=0.44

Package=0.44

Step-by-step explanation:

Divide the cost by the amount of whatever. For ex. The 3.79/4 because there are 4 boxes.

Final answer:

The unit rate for a box of 4 light bulbs is $0.95 per bulb, for a bag of 5 oranges it's $0.44 per orange, and for a package of 12 bars of soap, the unit rate is $0.44 per bar.

Explanation:

To calculate the unit rate for each item, you divide the total cost by the number of items in the package. This tells you the cost per single item. Let's calculate the unit rates, rounding to the nearest cent.

Remember, when working with prices, it's standard practice to round to the nearest cent, which represents the smallest unit of currency used in transactions.

a^2 + b^2 = c^2(hypotenuse)

a=20^2=400

b=21^2=441

c^2=400+441

c^2=841

take the square root of 841

answer is D

the answer is (D) 841 ( The value of C is equal to 841)

Answer:

The value of x is 2 or -2.

Step-by-step explanation:

Consider the provided equation.

[tex]3x^2= 12[/tex]

We need to solve the above equation for x.

Divide 3 from both the sides.

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2=4[/tex]

Square root both the sides.

[tex]x=\pm \sqrt{4}[/tex]

[tex]x=\pm 2[/tex]

Hence the value of x is 2 or -2.

The solution to the equation  [tex]3x^2 = 12[/tex]  is [tex]x = \pm2[/tex], which is [tex]x = 2[/tex] and [tex]x = -2.[/tex]

To solve the equation [tex]3x^2 = 12[/tex] algebraically:

Divide both sides of the equation by 3 to isolate the [tex]x^2[/tex] term:

[tex]\frac{3x^2}{3}=\frac{12}{3}[/tex]

[tex]x^2 = 4[/tex]

Take the square root of both sides to solve for x:

[tex]\sqrt{x^2}=\sqrt{4}[/tex]

[tex]x = \pm2[/tex]

Hence, the solutions to the equation [tex]3x^2 = 12[/tex] are [tex]x = 2[/tex] and [tex]x = -2.[/tex]

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ6

Answer: the answer is c

Step-by-step explanation: the first line is the min and the next is q1 and then the medium and q3 max

100

I got the answer by 26 divided by 0.26

Answer:

its 100 trust me

The 99% confidence interval for the mean number of jobs held by the retired men in the study is approximately 6.3 < μ < 8.1

To calculate the 99% confidence interval, we need the sample mean, the population standard deviation, the square root of the sample size, and the z-value associated to a 99% confidence. In this case, we know the following:

The confidence interval formula is given by the following equation:

x-bar ± z * (σ/√n)

Subbing the values into the equation, we get:

7.2 ± 2.57 * (2.1/√50)

The 99% confidence interval would therefore be approximately 6.3 < μ < 8.1

https://brainly.com/question/34700241

#SPJ3

Answer:

90 Degrees

Step-by-step explanation:

The find the measure of that angle, find the measure of it's intercepted arc, which is already given as 180. When you find the measure of the intercepted arc, to find the measure of the angle/ divide the measure of the intercepted arc by 2, since the angle is on the circle and boom you get 90 degrees