Please help i'm struggling with this!

Answer:

D(12) = 2,600 miles

It means a distance of 2,600 miles is already traveled from home after 12 hours

Step-by-step explanation:

To find D(12); all we have to do is to substitute the value of 12 for D

We have this as;

D(12) = 3260-55(12)

D(12) = 2,600

In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours

Using the z-distribution, as we have the standard deviation for the population, it is found that the 99.7% confidence interval is given by:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

99.7% confidence level, hence[tex]\alpha = 0.997[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.997}{2} = 0.9985[/tex], so [tex]z = 3[/tex].

The other parameters are:

[tex]\mu = 112.5, \sigma = 37.5, n = 96[/tex]

Hence, the interval is:

[tex]112.5 \pm 3\frac{37.5}{\sqrt{96}}[/tex]

To learn more about the z-distribution, you can check https://brainly.com/question/25890103

Answer:

1) 720

2) 540

3) x = -1

4) x = 10

Step-by-step explanation:

The formula for finding the sum of interior angles in a polygon is the following,

[tex]S=180(n-2)[/tex]

Where (S) represents the sum of interior angles, and (n) represents the number of sides.

1)

The given polygon is a hexagon, meaning it has (6) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(6-2)\\\\S=180(4)\\\\S = 720[/tex]

2)

This polygon is a pentagon, meaning it has (5) sides. Substitute the number of sides into the formula and solve for the sum of interior angles.

[tex]S=180(n-2)[/tex]

[tex]S=180(5-2)\\\\S=180(3)\\\\S=540[/tex]

3)

The sum of interior angles in a triangle is (180) degrees. One can see that one of the measures of an angle is (90) degrees (indicated by the box around the angle). One can form an equation by adding up the expressions for the angle measures and setting it equal to (180) degrees.

(55) + (x + 36) + (90) = 180

Simplify,

181 + x = 180

Inverse operations,

181 + x = 180

x = -1

4)

The remote angles theorem states that when one extends one of the sides of a triangle, the angle formed between the side and the extension is equal to the sum of the two non-adjacent interior angles in the triangle. Based on this theorem, one can form an equation and solve for the unknown.

<F + <G = <FEZ

Substitute,

(4x) + (-5 + 7x) = 105

Simplify,

4x - 5 + 7x = 105

11x - 5 = 105

Inverse operations,

11x - 5 = 105

11x = 110

x = 10

Answer:

1:26

Step-by-step explanation:

You can divide both sides by 2.

Answer:

-8 X 3 = -24 + 9 = -15 or you could do    -24+9=-15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x² - 5xy + 6y² = x² - 3xy - 2xy + 6y²

                      = x(x  - 3y) - 2y(x - 3y)

                      = (x - 3y)(x -2y)

x² - 4xy + 3y² = x² -xy - 3xy + 3y²

                      = x(x - y) - 3y(x - y)

                      = (x - y)(x - 3y)

x² - 3xy + 2y² = x² - xy - 2xy + 2y²

                      = x(x - y) - 2y(x - y)

                     = (x - y)(x - 2y)

Least common denominator = (x-y)(x - 2y)(x - 3y)

[tex]RHS = \frac{1*(x-y)}{(x-3y)(x-2y)*(x-y)}+\frac{a*(x-2y)}{(x-y)(x-3y)*(x-2y)}+\frac{1*(x-3y)}{(x-y)(x-2y)*(z-3y)}\\\\= \frac{x- y + ax - 2ay +x -3y}{(x-y)(x-2y)(x-3y)}\\\\= \frac{2x -4y +ax - 2ay}{ x^{3}-5x^{2}y+8xy^{2}-4y^{3}}[/tex]

Answer:

242/48

Step-by-step explanation:

Answer:

3 centimeters

Step-by-step explanation:

nope

Answer:

[tex]B[/tex]

Step-by-step explanation:

Answer:

The answer is 10.2-y=32.6 D. y+32.6=10.2

Step-by-step explanation:

Given : The difference between 32.6 and a number is 10.2

Let the number be : y

⇒   32.6 - y = 10.2

⇒   32.6 minus y = 10.2

We can't see what you are talking about. send another one.

Answer:

average revenue

gross profit

total revenue

net profit

marginal revenue

Step-by-step explanation:

Answer: 14

Step-by-step explanation: I am guessing that you wrote the "c" incorrectly and that meant to be an "e". All you really need to do is replace the letters with the numbers that equal the letters, which would be:

(15) - 1/2(2)

1/2 * 2 = 1

15 - 1 = 14

Given the system of equations below:

[tex] \large{ \begin{cases} y = 2x + 1 \\ - 4x + 2y = 2 \end{cases}}[/tex]

The first equation is y-isolated so we can substitute in the second equation.

[tex] \large{ - 4x + 2(2x + 1) = 2}[/tex]

Use the distribution property to expand in and simplify.

[tex] \large{ - 4x + 4x + 2 = 2} \\ \large{0 + 2 = 2 \longrightarrow 2 = 2}[/tex]

The another method is to divide the second equation by 2.

[tex] \large{ \frac{ - 4x}{2} + \frac{2y}{2} = \frac{2}{2} } \\ \large{ - 2x + y = 1}[/tex]

Arrange in the form of y = mx+b.

[tex] \large{y = 1 + 2x \longrightarrow y = 2x + 1}[/tex]

When we finally arrange, compare the equation to the first equation. Both equations are the same which mean that both graphs are also same and intersect each others infinitely.

For more information, when the both sides are equal for equation - the answer would be infinitely many. If both sides aren't equal (0 = 4 for example) - the answer would be none. If the equation can be solved for a variable then it'd be one solution.

Answer

Hope this helps. Let me know if you have any doubts!

Answer:

Expression B: 0.8p

Expression D: p - 0.2p

Step-by-step explanation:

The regular price of an item at a store is p dollars. The item is on sale for 20% off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Expression A: 0.2p

Expression B: 0.8p

Expression C:1 - 0.2p

Expression D: p - 0.2p

Expression E: p - 0.8p

Which two expressions each represent the sale price of the item?

Regular price of the item = $p

Sale price = 20% off regular price

Sale price = $p - 20% of p

= p - 20/100 * p

= p - 0.2 * p

= p - 0.2p

= p(1 - 0.2)

= p(0.8)

= 0.8p

The sale price is represented by the following expressions

Expression B: 0.8p

Expression D: p - 0.2p

Answer:

a)  (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)

Step-by-step explanation:

a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.

b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).

We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.

c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.

If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.

If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.

**You may wish to revise writing integer expressions. I'm always happy to help!

Answer:  A.  x = 3

This is a vertical line that goes through 3 on the x axis. Two points on this line are (3,0) and (3,1). Any vertical line is perpendicular to the x axis.

Step-by-step explanation:

[tex] \frac{( {m}^{5} \times {m}^{6} \times {n}^{11})}{ {m}^{3} \times {n}^{5} \times n} \\ = \frac{ {m}^{11} \times {n}^{11} }{ {m}^{3} \times {n}^{6} } \\ = {m}^{8} \times {n}^{5} \\ = {m}^{8} {n}^{5} [/tex]

Answer:

[tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Step-by-step explanation:

m to the power of 5 = m⁵

m to the power of 6 = m ⁶

n to the power of 3 = n³

n to the power of 11 = n¹¹

      [tex]m^5 \times m^6 \times n^{11}[/tex]   over  [tex]m^3 \times n^5 \times n^1[/tex] = [tex]\frac{m^5 \times m^6 \times n^{11}}{m^3 \times n^5 \times n^1}[/tex]

Simplified form:

[tex]m^{(5+6-3)} \times n^{(11 - 5- 1)} = m^8 \times n^{6}[/tex]

Answer:

1. 10 root 3

2.

A=30

B = 60

Step-by-step explanation:

In picture

Answer:

130

Step-by-step explanation:

instead of 132 round to the nearest 10 so its 130

Answer:

130

Step-by-step explanation:

The length of the leg is 9.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

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Answer:

0.76

or

-0.76

hope this helps

Answer:

To find the area, you have to multiply the length times the width

Step-by-step explanation:

Answer:

The area of this rectangle is 6 square units.

Step-by-step explanation:

Multiply the width (8/3 inches) by the height (9/4 inches) to get the rectangle area:

 8       9

----- * -----

  3      4

                        8 * 9

This results in ----------    which itself reduces to 6.  

                          4 * 3

The area of this rectangle is 6.

Given:

z be inversely proportional to the cube root of y.

When y =0.064, then z =3.

To find:

a) The constant of proportionality k.

b) The value of z when y = 0.125.​

Solution:

a) It is given that, z be inversely proportional to the cube root of y.

[tex]z\propto \dfrac{1}{\sqrt[3]{y}}[/tex]

[tex]z=k\dfrac{1}{\sqrt[3]{y}}[/tex]              ...(i)

Where, k is the constant of proportionality.

We have, z=3 when y=0.064. Putting these values in (i), we get

[tex]3=k\dfrac{1}{\sqrt[3]{0.064}}[/tex]

[tex]3=k\dfrac{1}{0.4}[/tex]

[tex]3\times 0.4=k[/tex]

[tex]1.2=k[/tex]

Therefore, the constant of proportionality is [tex]k=1.2[/tex].

b) From part (a), we have [tex]k=1.2[/tex].

Substituting [tex]k=1.2[/tex] in (i), we get

[tex]z=1.2\dfrac{1}{\sqrt[3]{y}}[/tex]

We need to find the value of z when y = 0.125.​ Putting y=0.125, we get

[tex]z=1.2\dfrac{1}{\sqrt[3]{0.125}}[/tex]

[tex]z=\dfrac{1.2}{0.5}[/tex]

[tex]z=2.4[/tex]

Therefore, the value of z when y = 0.125 is 2.4.

Proportional quantities are either inversely or directly proportional. For the given relation between y and z, we have:

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

[tex]p = kq[/tex]

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

[tex]p \propto q[/tex]  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n}[/tex]

or

[tex]n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n}\\\\or\\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

For the given case, it is given that:

[tex]z \propto \dfrac{1}{^3\sqrt{y}}[/tex]

Let the constant of proportionality be k, then we have:

[tex]z = \dfrac{k}{^3\sqrt{y}}[/tex]

It is given that when y = 0.064, z = 3, thus, putting these value in equation obtained above, we get:

[tex]k = \: \: ^3\sqrt{y} \times z = (0.064)^{1/3} \times (3) = 0.4 \times 3 = 1.2[/tex]

Thus,  the constant of proportionality k is 1.2. And the relation between z and y is:

[tex]z = \dfrac{1.2}{^3\sqrt{y}}[/tex]

Putting value y = 0.0125, we get:

[tex]z = \dfrac{1.2}{^3\sqrt{y}}\\\\z = \dfrac{1.2}{(0.125)^{1/3} } = \dfrac{1.2}{0.5} = 2.4[/tex]

Thus, for the given relation between y and z, we have:

Learn more about proportionality here:

https://brainly.com/question/13082482

Answer:

$127.75

Step-by-step explanation:

Multiply the cost by the area to find the total cost

Answer: The clubs goal is to raise  $436.

Step-by-step explanation:

175%  * x  = 763     where x is the goal  

1.75 *x  = 763

1.75x = 763

x= 436