1

2
A swimming pool has a volume of 256 yd³.
Use the table of conversion facts to find out how many gallons of water it
would take to completely fill the swimming pool.
Round your answer to two decimal places.

Answer:

7

Step-by-step explanation:

[tex]f^{-1}(-33)=k \implies f(k)=-33 \\ \\ 9-6k=-33 \\ \\ -6k=-42 \\ \\ k=7[/tex]

Answer:

f^-1(33) = 7

Step-by-step explanation:

As the question is asking for the inverse function we do the following steps:

Change f(x) into y :

y = 9 -6x

Swap x and y :

x = 9-6y

Solve for y :

Subtract 9 from both sides :

x-9 = -6y

Divide both sides by -6 :

(x-9)÷ -6 = y

Change y back into f(x) :

f(x)  = (x-9)÷ -6

Now substitute -33 into x :

((-33)-9) ÷ - 6 =

-42 ÷ -6 =

+7

Hope this helped and have a good day

The number between 10 and 100 which has 5 base ten blocks and one of the digits is 4 will be 41.

Let the two digits be x and y

There are 5 base ten blocks therefore the sum of the numbers will be 5

i.e. x + y = 5                                                                                             ..eq-1

One of the digit is 4

So, let the value of x = 4

Putting the value of x in eq-1

4 + y = 5

y = 5 - 4

y = 1

Since tens placed number block is a greater than the ones block,

y > x

4 > 1

therefore 4 will be at tens place and 1 will be kept at ones place and number so formed will be 41.

To know more about sum,

https://brainly.com/question/15372000

#SPJ1

m<6 = 117° based on the same-side-interior angles theorem

m<7 = 63° based on the corresponding angles theorem

Angles 3 and 6 are same-side interior angles, therefore, based on the same-side-interior angles theorem, their sum equals 180 degrees because they are supplementary to each other.

Thus:

m<3 + m<6 = 180

Substitute

63 + m<6 = 180

m<6 = 180 - 63

m<6 = 117°

m<7 = m<3 [corresponding angles theorem]

m<7 = 63°

Learn more about the same-side interior angles theorem on:

https://brainly.com/question/16976757

#SPJ1

Using the z-distribution, it is found that since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

At the null hypotheses, it is tested if there is not enough evidence that the proportion is less than 0.75, that is:

[tex]H_0: p \geq 0.75[/tex]

At the alternative hypotheses, it is tested if there is enough evidence that the proportion is less than 0.75, that is:

[tex]H_1: p < 0.75[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are given as follows:

[tex]n = 72, \overline{p} = \frac{42}{72} = 0.5833, p = 0.75[/tex]

Hence the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.5833 - 0.75}{\sqrt{\frac{0.75(0.25)}{72}}}[/tex]

z = -3.27.

Considering a left-tailed test, as we are testing if the proportion is less than a value, with z = -3.27, the p-value is < 0.01.

Since the p-value is less than 0.01, there is strong indication that the true proportion of mechanics who could identify this problem is less than 0.75.

More can be learned about the z-distribution at https://brainly.com/question/13873630

#SPJ1

Answer:

Step-by-step explanation:

Answer:

so you're answer is 30 inches in total because if you add up all the inches and the hours that's tire answer glad if i could help.

Answer:

0.250

Step-by-step explanation:

Given from the question, we know that the summation (adding all values together) of all P(x) values is equal to 1.

And, we do know that P(2) = P(4).

This means , we will subtract all the known P(x) values from 1 to get the value of P(2) + P(4).

P(2) + P(4) = 1 - 0.0425 - 0.3750 - 0.0625 - 0.0200 = 0.500

Since P(2) = P(4), we divide 0.500 by 2 to get the value of P(2) and P(4).

P(2) = P(4) = 0.500 ÷ 2 = 0.250

Answer: 74.539

Step-by-step explanation:

Answer: x = [tex]\frac{20}{7}[/tex]

(or)

x = 2.86 ( rounded )

Step-by-step explanation:

3.5(x +2) = 17

3.5x + 7 = 17

3.5x = 17 - 7

3.5x = 10

x = 10/3.5

x = [tex]\frac{20}{7}[/tex]

(or)

x = 2.86 ( rounded )

Answer:

I believe the answer is y=3,−3

Step-by-step explanation:

The value of the quotient 104/8 is 13

The quotient expression is given as

104/8

Express 104 as 80 + 24

So, we have

104/8 = (80 + 24)/8

Split the fraction in the above expression

So, we have

104/8 = 80/8 + 24/8

Evaluate the quotients

So, we have

104/8 = 10 + 3

Evaluate the sum

So, we have

104/8 = 13

Hence, the value of the quotient 104/8 is 13

Read more about quotient at

https://brainly.com/question/629998

#SPJ1

Answer:

  (a)  8

Step-by-step explanation:

You did not provide the example problem shown, so we have to do the division to find the repeated remainder.

The attachment shows the repeated remainder is 8, the result of subtracting 72 from 80.

The equation of the line in slope-intercept form is: y = -3/10x + 13/10.

Given the points, (1,1) and (11,−2). Follow the steps explained below.

Step 1: Find the slope of the line:

Slope (m) = change in y / change in x = (-2 - 1)/(11 - 1)

Slope (m) = -3/10

Step 2: Substitute m = -3/10 and (a, b) = (1, 1) into y = mx + b to find the value of b

1 = -3/10(1) + b

1 = -3/10 + b

1 + 3/10 = b

b = 13/10

Step 3: Substitute m = -3/10 and b = 13/10 into y = mx + b

y = -3/10x + 13/10

Thus, the equation of the line in slope-intercept form is: y = -3/10x + 13/10.

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

La altura del cono es de 8 centimetros.

Sabemos que para un cono de radio R, altura H, y generatriz G se cumple la relación:

R^2 + H^2 = G^2

Resolviendo para la altura obtenemos:

H = √(G^2 - R^2)

En este caso sabemos que le diámetro es de 30 cm, entonces el radio será de:

R = 30cm/2 = 15cm

Y la generatriz es de 17cm, entonces G = 17cm

Reemplazando eso en la ecuación para la altura obtendremos:

H = √((17cm)^2 - (15cm)^2) = 8cm

Concluimos que la altura del cono es de 8 centimetros.

Sí quieres aprender más sobre conos:

https://brainly.com/question/6613758

#SPJ1

Answer:

~ $3.29

Step-by-step explanation:

$11.20 - $1.75 = $9.45

$9.45 - $0.48 5% = $8.97

$8.97 - $2.40 = $6.57

$6.57 ÷ 2 = $3.285 rounded to $3.29

I think what was meant here was -23 + a = -12.

a = 11

To solve for a, let’s subtract -12 from -23:

-23 - (-12) = 11

a = 11

Let's plug 11 in for reassurance:

-23 + 11 = -12

a = 11

Answer:

The answer would be $16,660.

Step-by-step explanation:

The car would cost $16,660 after one year.

In this case we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.

For a quadratic function (also called a parabola)

y = a*x^2 + b*x + c

the solutions of the quadratic equation are the values of x such that:

a*x^2 + b*x + c = 0

Now, remember that the values with y = 0 are called the x-intercepts, then the solutions of the above equation are x-intercepts.

And here we know that the parabola does not cross the x-axis, thus, the quadratic equation has no solutions.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Based on the fact that the researchers were able to conclude that a range of percentages of the female Osprey hatch-lings in the US succeed in growing up to lay their own eggs, this is Inferential statistics.

In inferential statistics, data is used to be able to reach a conclusion on a phenomenon. This means that data is not just taken and then presented like in the case of descriptive statistics, it is also analyzed and evaluated to reveal patterns.

In this scenario, female Osprey hatch-lings success in growing up and laying their eggs was researched and data was used to make conclusions on the subject so this is inferential statistics.

Find out more on inferential statistics at https://brainly.com/question/4774586

#SPJ1

The top of the pole from the ground is 13.314798.

Given condition, formulate :

= 14 * sin (72°)

= 4 sin 72°

= 14 * 0.951057

= 13.314798

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant, cosine , cotangent , secant , sine , and tangent .

The trigonometric function can be described as being even or odd.

Odd trigonometric functions: A trigonometric function is said to be an odd function if f(-x) = -f(x) and symmetric with respect to the origin.

Even trigonometric functions: A trigonometric function is said to be an even function, if f(-x) = f(x) and symmetric to the y-axis.

Hence, the top of the pole from the ground is 13.314798.

To know more about Trigonometry, visit :

brainly.com/question/21286835

#SPJ9

The roots of the quadratic equation 4x² - 2x - 20 = x² + 9x are x = 5 and

x = - 7/6 respectively.

We have the following equation -

4x² - 2x - 20 = x² + 9x

We have to find its roots.

A quadratic equation is an algebraic equation of the second degree in x. In the standard form it can be written as ax² + bx + c = 0. In this - a and b are the coefficients of 'x' and 'x²' respectively and c is a constant term.

According to the equation -

4x² - 2x - 20 = x² + 9x

4x² - x² - 2x - 9x - 20 = 0

3x² - 11x - 20 = 0

Using quadratic formula, the roots of the equation will be -

x = (- b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a

x = (11 ± 19)/6

x = 30/6   and  x = -7/6

x = 5  and  -7/6

Hence, the roots of the quadratic equation are 5 and -7/6.

To solve more questions on quadratic equation, visit the link below-

https://brainly.com/question/12121201

#SPJ1

All calculations for answer in picture form

Answer:

There are 88 square inches needed to cover a box that is 4 in • 6 in • 2 in

Step-by-step explanation:

In order to cover the box you need to find the surface area of it. The formula for finding the surface area of a rectangular prism is 2 • ((w•l) + (h•l) + (h•w)). The dimensions of the box is 4 inches in length, 6 inches in width, and 2 inches in height.

The ratio that is equivalent to Stefanie's rate is 1 : 2

The given parameters are

Distance = 4 miles

Trips = 2

The ratio that is equivalent to Stefanie's rate is represented as

Rate = Trips/Distance

So, we have

Rate = 2 trips /4 miles

Evaluate

Rate = 1/2 trip per mile

Express as raton

Ratio = 1 : 2

Hence, the ratio that is equivalent to Stefanie's rate is 1 : 2

Read more about rate at

https://brainly.com/question/2784798

#SPJ1

Answer: Option 2 should be the answer.

Step-by-step explanation: Real numbers are divided into two groups called rational and irrational numbers. Irrational numbers cannot be expressed as fractions.

Hopefully, this question will help you.

Have a great day!

The correct statement regarding the end behavior of the functions is given by:

As x→∞, f (x)→∞ and g(x)→0.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function f(x), the limits are given as follows:

For function g(x), the limit is given as follows, as it is not defined for negative values:

[tex]\lim_{x \rightarrow \infty} f(x) = 0[/tex].

Hence the correct statement is:

As x→∞, f (x)→∞ and g(x)→0.

As it considers both positive infinity and negative infinity just as infinity.

More can be learned about the end behavior of a function at https://brainly.com/question/27983072

#SPJ1

Answer: 834,976

Step-by-step explanation:

Answer:

30,000

Step-by-step explanation:

If not, try 25,000

Answer:

25,000

Step-by-step explanation:

brainlest please