One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?

Answer:

Question:

[tex]\textsf{factor : \ } x^4+\dfrac{1}{x^2}[/tex]

Rewrite the expression using the exponent rule [tex]\dfrac{a^b}{a^c}=a^{(b-c)}[/tex]

[tex]\implies x^4+\dfrac{1}{x^2}=\dfrac{x^6}{x^2}+\dfrac{1}{x^2}[/tex]

Factor out common term [tex]\dfrac{1}{x^2}[/tex] :

[tex]\implies \dfrac{1}{x^2}(x^6+1)}[/tex]

Factor [tex](x^6+1)[/tex]:

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] to get cubic exponents:

[tex]\implies x^6+1 = (x^2)^3+1^3[/tex]

Apply the sum of cubes formula: [tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]

where [tex]a=x^2[/tex] and [tex]b=1[/tex]:

[tex]\implies (x^2)^3+1^3=(x^2+1)((x^2)^2-x^2 \cdot 1+1^2)[/tex]

[tex]\implies (x^2+1)(x^4-x^2+1)[/tex]

Therefore,

[tex]\implies \dfrac{1}{x^2}(x^6+1)}=\dfrac{1}{x^2}(x^2+1)(x^4-x^2+1)[/tex]

Simplify by dividing the 2nd parentheses by [tex]x^2[/tex]:

[tex]\implies (x^2+1)\left(\dfrac{x^4-x^2+1}{x^2}\right)[/tex]

[tex]\implies (x^2+1)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Factor out [tex]x[/tex] from first parentheses:

[tex]\implies x\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)[/tex]

Answer:

yes , I am bore , I have exam next week

Answer:

here is the answer

Step-by-step explanation:

happy ro help u

Answer:

-10(2x + 1/5)

~

1/2(x -4)

Step-by-step explanation:

-10(2x + 1/5)

Distribute -10 to all terms within the parenthesis by multiplying:

-10 * 2x = -20x

-10 * 1/5 = -10/5 = -2

-20x - 2 is your answer.

~

1/2(x -4)

Divide 2 to all terms within the parenthesis:

(x - 4)/2 = (x/2) - (4/2) = (x/2) - 2

[tex]\frac{x}{4} -2[/tex] is your answer.

~

Answer:

Here's an equation 9 (x+2)
Here's the answer to that equation 9x+18

Step-by-step explanation:

You basically multiply 9 times (x+2) but since you don't know what x is you multiply 9  to each number (or variable) individually. So 9(x) + 9(2). The resulting equation is 9x + 18

[tex]9(x+2)[/tex]
[tex]9(x)+9(2)[/tex]
[tex]9x + 18[/tex]

Hello.

We have:

Plug the values into the Point-Slope Formula:

[tex]\mathrm{y-y_1=m(x-x_1)}[/tex]

[tex]\mathrm{y-38=6(x-5)}[/tex]

[tex]\mathrm{y-38=6x-30}[/tex]

[tex]\mathrm{y=6x-30+38}[/tex]

[tex]\Large\boxed{\sf{ \ y=6x+8}}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

Infinity

Step-by-step explanation:

Topic: Fraction and relations:

Your domain (Input to a fraction, usually known as your "x") can be any Real number.

But, when you are dealing with a fraction or even square roots you have to be careful because:

You cannot have a ZERO as your denominator and you cannot have NEGATIVE number inside of the square root.

The 2 problems can have infinite solution because it is not a fraction or square root problem and it doesn't break the 2 rules mentioned above.

Answer:

K = 16

Step-by-step explanation:

64 / 4 = 16

64 / 16 = 4

Answer:

k = 16

Step-by-step explanation:

Find k if 64 ÷ k = 4

64 / k = 4

64 / 4 = k

k = 16

Answer:

31 in

Step-by-step explanation:

First let's split the bottom part of the L in two parts of 19 and [tex]26-19=7 in[/tex] each. Now the whole area is made of two rectangles of sides [tex]19\times11[/tex] and [tex]7\times h[/tex],where h is the length of the left side. These two have to add up to 426 so

[tex]19\times 11 + 7\times h = 426\\209+7h = 426\\7h =217 \rightarrow h=31[/tex]

Answer:

x=21°

Step-by-step explanation:

in the isosceles triangle, if two sides are equal,then the angles opposite those sides are equal.

so, 2x=42° ( exterior angle of a triangle is equal to the sum of the two opposite interior angles)

x=21°

Answer:

It depends on what the equation equals

Step-by-step explanation:

2x=1 x=.5 or 1/2

2x=2 x=1

2x=14 x=7

2x=102 x=51

Answer:

y/4

Step-by-step explanation:

b/c y is divided 4 so,y/4.

Answer:

the number y divided by 4

Step-by-step explanation:

You’d have to solve for y but it’s still the same thing

Answer:

C is your answer, the extended version.

Step-by-step explanation:

Siri.

After the rotation fo 180°, we will get the rectangle J'K'L'M', it can be seen in the image at the end of the answer.

A rotation of 180° always moves the figure 2 quadrants. In this case, the figure starts on the second quadrant, so after the rotation, the figure will be on the fourth quadrant.

Such that the point (x, y) will be transformed into (-x, -y).

The original coordinates of the vertices of our figure are:

Then the image after the transformation is:

The graph can be seen below.

If you want to learn more about rotations, you can read:

https://brainly.com/question/4289712

Answer: Outdoor carpet should measure 30 square feet to cover the hole.

Step-by-step explanation:

Given:

Level 1 : Length = 5 ft ; Width = 2 ft

Level 2 : Length = 6 ft ; Width = 2 ft

Level 3 : Length = 4 ft ; Width = 2 ft

Area = L x W

Level 1 = 5 ft * 2 ft = 10 ft²

Level 2 = 6 ft * 2 ft = 12 ft²

Level 3 = 4 ft * 2 ft =   8 ft²

Total Area                30 ft²

Answer: No, Yes, Yes, No (in order)

Step-by-step explanation:

The area of a triangle is equal to the base*height/2.

The first choice:

Area = 6 ft * 5 ft/2

Area = 30 ft^2/2

Area = 15 ft^2

Therefore, this choice is not correct

The second choice:

Area = 12 ft * 5 ft/2

Area = 60 ft^2/2

Area = 30 ft^2

Therefore, this choice is correct

The third choice:

Area = 10 ft * 6 ft/2

Area = 60 ft^2/2

Area = 30 ft^2

Therefore, this choice is correct

The fourth choice:

Area = 20 ft * 6 ft/2

Area = 120 ft^2/2

Area = 60 ft^2

Therefore, this choice is not correct

Answer:

B.

Step-by-step explanation:

8

—4

[tex]8 \div ( - 2) = - 4[/tex]

2

[tex]( - 4) \div ( - 2) = 2[/tex]

—1

[tex]2 \div ( - 2) = - 1[/tex]

1/2

[tex]( - 1) \div ( - 2) = \frac{1}{2} [/tex]

—（1/4）

[tex]( \frac{1}{2} ) \div ( - 2) = - \frac{1}{4} [/tex]

1/8

[tex] (- \frac{1}{4} ) \div ( - 2) = \frac{1}{8} [/tex]

Answer:

8

Step-by-step explanation:

multiply 25% by 33

25/100 × 33

= 8.25

rounded off = 8

The solution is 75.75 %

The number 25 is 75.75 percentage of 33

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage be represented as A

Now , the value of A is given by the equation

A % of 33 = 25

So , substituting the values in the equation , we get

( A / 100 ) x 33 = 25

Multiply by 100 on both sides of the equation , we get

33A = 2500

Divide by 33 on both sides of the equation , we get

A = 2500/33

The value of A = 75.75 %

Therefore , the value of A is 75.75 %

Hence , the number 25 is 75.75 % of 33

To learn more about equations click :

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The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Learn more about normal distribution here:

https://brainly.com/question/25800303

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides.

In this question we must apply the completing the square method to solve a quadratic equation, which consists in apply algebra properties to reduce part of a expression into a square perfect trinomial.

According to the step 2, we have the following expression:

[tex]x^{2}+16\cdot x = -8[/tex]   (1)

By applying the principle of compatibility with addition and definition of addition, we have the following expression:

[tex]x^{2}+16\cdot x + 64 = - 8 + 64[/tex]

[tex]x^{2}+16\cdot x +64 = 56[/tex]

Now we proceed to solve the given expression:

[tex](x+8)^{2} = 56[/tex]

[tex]x+8 = \pm 2\sqrt{14}[/tex]

[tex]x = -8 \pm 2\sqrt{14}[/tex]

We muss add the polynomic expression [tex]x^{2}+16\cdot x = -8[/tex]  by 64 on both sides. [tex]\blacksquare[/tex]

To learn more on polynomials, we kindly invite to check this verified question: https://brainly.com/question/17822016

Answer:

Five number summary

Step-by-step explanation:

I just relearned this yesterday

A straight vertical line has an undefined slope.

Answer: undefined

Answer:

77 is the ninth term.

Step-by-step explanation:

You start out with adding 3 and every time you add a new number you add the last number you added to it and add 2.

Answer:

60°  and 180°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°

(where n is the number of sides)

A hexagon has 6 sides

⇒ Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°

Let x = smallest unknown angle

Therefore, 3x = largest unknown angle

Sum the angles and solve for x:

⇒ 114° + 130° + 140° + 96° + x + 3x = 720°

⇒ 480° + 4x = 720°

⇒ 4x = 720° - 480°

⇒ 4x = 240°

⇒ x = 60°

Therefore, smallest unknown angle = 60°

and largest unknown angle = 3 × 60° = 180°

Answer:

6sqroot(3)

Step-by-step explanation:

see image.

Answer:

I really can't tell what it is.

Step-by-step explanation:

I think its the last one