NUMBER 3. (p^1/5)(p^7/12)^-2

Answer:

Yes this represents additive inverse,

Step-by-step explanation:

Since you are subtracting the same number 4 to get to zero.

Answer:

I don't know

Step-by-step explanation:

LOL  XDDDDd

Answer:

You make $32,000 a year and want to save 10% of your income every year. How much should you put into savings every month?

$32$,000 x 0.10 = 3,200

You want to save $3200 a year.

You should be saving $266.67 a month or $133.33 a paycheck if you are paid

Step-by-step explanation:

The rate of change of the area of the trapezoid at that instant is 5 square kilometers per second and this can be determined by differentiating the area of the trapezoid with respect to time 't'.

Given :

First, determine the area of a trapezoid, that is:

[tex]\rm A = \dfrac{b_1+b_2}{2}\times h[/tex]

[tex]\rm \dfrac{2A}{h}=b_1+b_2[/tex]

[tex]\rm b_2 = \dfrac{2A}{h}-b_1[/tex]

Now, differentiate the above expression with respect to 't'.

[tex]\rm \dfrac{db_2}{dt} = -\dfrac{2A}{h^2}\dfrac{dh}{dt}-\dfrac{db_1}{dt}[/tex]

Now. substitute the values of the known terms in the above formula.

[tex]\rm \dfrac{db_2}{dt} = -\dfrac{2\times (16)}{2^2}\times (5)-(-8)[/tex]

[tex]\rm \dfrac{db_2}{dt} = -32\;km/sec[/tex]

So, the area is decreasing at the rate of 5.

For more information, refer to the link given below:

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Answer:

30/1, 30:1, 30 to 1

Step-by-step explanation:

By direct evaluation, we will see that the pair (8,2) is not a solution of the system of equations.

A given point is a solution of a system of equations if and only if it is a solution for both equations, then to see if (8, 2) is a solution of the given system, we need to replace the values in both equations and see if it is a solution of each one.

For the first one we have:

x - y = 6

8 - 2 = 6

6 = 6

So (8, 2) is a solution of the first equation.

For the second one we have:

2x - 10y = 4

2*8 - 10*2 = 4

16 - 20 = 4

-4 = 4

Note that this equation is false, then the point (8, 2) is not a solution for the second equation, then the point is not a solution for the system of equations.

If you want to learn more about systems of equations, you can read:

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Answer:

a= 10/3

Step-by-step explanation:

multiply both sides by 2

get 6a +8 =28

subtract 8 from both sides

you get 6a=20

divide 6 both sides and 10/3.

Answer:

The answer is 32.50

Step-by-step explanation:

You would just keep counting up by fives and then you would also have to add tax because it is food -- I am happy to help! :)

Answer:

1.5 miles per hour

Step-by-step explanation:

3 miles divided by 2 hours

Answer:

7,9

Step-by-step explanation:

Let two consecutive odd integer=X and (X+1)

The difference of the squares of two positive consecutive odd integers is 32.

So(X+2)^2-x^2=32

(x^2+4+4x)-x^2=32

x^2+4+4x-x^2=32

4x=32-4

4x=28

X=28/4

X=7

So first integer=7

Second integer=7+2

=9.

Answer:

c

Step-by-step explanation:

The effect because of which 15 subjects stated that they had less irritation after having cream with no active ingredient is placebo effect.

The placebo effect occurs when a person's physical or mental health appears to improve after receiving a placebo or "dummy" treatment. injections, or even sham surgery.

The placebo effect is caused by an individual's belief in the benefits of the treatment and the expectation that it will make them feel better, rather than by the properties of the placebo.  

Given,

50 subjects were assigned to the cream with no active ingredient, 15 stated they had less irritation.

The cream with no active ingredient is placebo, and this effect is called placebo effect.

Hence, 15 subjects stated that they had less irritation is a result of placebo effect.

Learn more about placebo effect here:

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Answer:

The right response is "0.0085". A further explanation is given below.

Step-by-step explanation:

Let,

P (across each pair, this same null hypothesis would be wrongly rejected) be "a".

Therefore,

⇒ [tex]P=1-P(no \ time \ rejected)[/tex]

⇒ [tex]1-(1-a)^6 =0.05[/tex]

⇒ [tex]1-a=0.95^{(\frac{1}{6} )}[/tex]

⇒ [tex]a=1-0.95^{(\frac{1}{6} )}[/tex]

⇒ [tex]0.0085[/tex]

Answer:

$3,715.30

Step-by-step explanation:

Total P+I (A): $3,715.30

Principal (P): $2,000

Compound (n): Continuously

Time (t in years): 15 years

By plugging this into an interest rate calculator, the amount settles to be approximently $3,715.30

Hope this helps!

Answer:

Option A

Step-by-step explanation:

Since they are congruent triangles, all the lengths are the same, but it’s just that triangle XYZ is flipped upside down. So if you flip it up to match triangle RTS, then XY is the same as RT.

Hope this helps :)

Answer:

14 + 3x

Step-by-step explanation:

6x2= 12

12 + 3x + 2

=14 + 3x

Answer:

y =-6(x-1/4)^2+19/8

Step-by-step explanation:

I hope this helps I don't have an explanation I just got it right on EDG 2021

God Bless You!!!!!

Answer:

The distance between the two points is six units.

Step-by-step explanation:

We are given two coordinate pairs:

With these, we can find the distance between the two using the distance formula. The distance formula is:

[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}, \ \text{where d is the distance.}[/tex]

Additionally, we need to label our coordinates. In math, coordinates are labeled as (x₁, y₁) and (x₂, y₂).

Therefore, our coordinate pairs can be labeled in this format.

(-8, 4)

(-8, -2)

Now, we can substitute these values into the formula and solve for d.

[tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d = \sqrt{(-8 - -8)^2 + (-2 - 4)^2}\\\\d = \sqrt{(0)^2+(-6)^2}\\\\d = \sqrt{0 + 36}\\\\d = \sqrt{36}\\\\d = 6[/tex]

Therefore, the distance between the two points is six units.

Answer:

32,500

Step-by-step explanation:

22,750 = .70x. (Paid 70% since it was 30% discount)

divide both sides by .70

x = 32,500

Answer:

Revenue: $46

Profit: $6

Answer:

1) B. NO

2) -0.049 < (μ1 − μ2) > 2.751

Step-by-step explanation:

Data of student cars;

Sample size; n1 = 150

Sample mean; x1¯ = 7.3

Sample standard deviation; s1 = 3.6

Faculty cars data;

Sample size; n2 = 65

Sample mean; x2¯ = 5.9

Sample standard deviation; s2 = 3.5

The hypotheses is defined as;

Null hypothesis; H0: μ1 = μ2

Alternative hypothesis; Ha: μ1 > μ2

1) Formula for test statistic for 2 sample test is;

z = (x1¯ - x2¯)/√[((S1)²/n1) + ((S2)²/n2)

z = (7.3 - 5.9)/√[((3.6)²/150) + ((3.5)²/65)

z = 1.4/√((12.96/150) + (12.25/65))

z = 1.4/√0.2749

z = 1.4/0.5243

z = 2.67

From online p-value from z-score calculator attached, using z = 2.67, one tailed test, significance level = 0.01,we have;

P-value = 0.003793

This is less than the significance level, thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that student cars are older than faculty cars.

2) Formula for the confidence interval is;

CI = μ1−μ2 = (x1¯ - x¯2) ± z√[((S1)²/n1) + ((S2)²/n2)

At significance level of 99%, z-score value is 2.576

Thus;

μ1−μ2 = (7.3 - 5.9) ± 2.576√[((3.6)²/150) + ((3.5)²/65)

μ1 − μ2 = 1.4 ± 2.576(0.5243)

-0.049 < (μ1 − μ2) > 2.751

Answer:

x=2

Step-by-step explanation:

-5=-3x+1

-1         -1

-6=-3x

divide both sides by -3

x=2

The value of x when f(x) = - 5, In the function f(x) = - 3x + 1 is 2.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = - 3x + 1.

Now, when f(x) = - 5 the equation would be,

- 5 = - 3x + 1.

- 5 - 1 = - 3x.

- 6 = - 3x.

3x = 6.

x = 2.

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Answer:

50+40d C

Step-by-step explanation:

Answer:

$6.82 per foot

Step-by-step explanation:

To find the unit rate, divide.

150 / 22 ≈ 6.82

Best of Luck!

Answer:

900 miles

Step-by-step explanation:

Simply multiply 450 by 2.

40 ÷ 20 = 2

450 x 2 = 900

OR

Based on Proportion:

[tex]\frac{450}{20}[/tex] x [tex]\frac{x}{40}[/tex]

Cross multiply:

450 x 40 = 18,000

20 x X = 20x

20x = 18,000

Divide by 20:

x = 18,000 ÷ 20

Solve:

x = 900

Answer:

three boys to 1 girl

Step-by-step explanation:

a

Answer:

The function is:

[tex]f(x) = x - 0.15x[/tex]

Can also be written as:

[tex]Sale = Original - 0.15(Original)[/tex]

Step-by-step explanation:

Given that the sale percentage is 15%

In general, the sale price is calculated by finding the discount according to discount percentage and then subtracting the discount from original price.

Given that x is the original price

Then the discount will be:

[tex]Discount = Original Price * 0.15\\Discount = 0.15x[/tex]

The sale price will be:

[tex]Sale Price = Original\ Price - 0.15(Original\ Price)\\[/tex]

As x is the original price

[tex]f(x) = x - 0.15x[/tex]

Can also be written as:

[tex]Sale = Original - 0.15(Original)[/tex]

Answer:

C is the correct awnser

Step-by-step explanation:

Answer:

Your second listed answer choice would be your answer.

Answer:

Step-by-step explanation:

[tex](a^{m})^{n} = a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{w^{30}}{(w^{3})^{2}} = \frac{w^{30}}{w^{3*2}}[/tex]

        [tex]= \frac{w^{30}}{w^{6}}\\\\=w^{30-6}\\\\= w^{24}[/tex]

Answer:

w^24

You would simplify the expression by first finding the product of (w^3)^2 which is w^6. Next you would divide w^30 and w^6 which would get you your answer which is w^24. Hope this helps!

Answer:

4

Step-by-step explanation: