Simplify the expression. (−3)^−4

Answer:

i believe itd be 66 dollars :D

hope this helps !!

Step-by-step explanation:

x - 18 = 48

add 48 and 18 and get the answer = $66

The given information is,

→ $18 less than the original price is $48.

Let the value of original price be x.

The equation will be,

→ x - $18 = $48

Let's find the required solution,

→ x - 18 = 48

→ x = 48 + 18

→ [x = 66]

Hence, the original price is $66.

Answer:

n=9

Step-by-step explanation:

6:8=n:12

6/8=n/12

6x12=8xn

72=8n

72/8=n

n=9

Answer:

n = 9.

Step-by-step explanation:

6:8 = n:12

6 = n

8 12

Note: Perform cross multiplication

=6 ( 12) = 8 ( n )

=72 = 8n

Note: divide both side by 8

=72/8 = 8n/8

9 = n OR n= 9

Therefore the value of n is 9

Step-by-step explanation:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Answer:

6.71

Step-by-step explanation:

All you do is calculate the square root, you can use a calculator and put in 3√5 = 6.70820393 …

round it to the nearest tenth = 6.71

The intercepts of the line are( −7/6),( −\(\frac{7}{6}x+\frac{5}{2}\)).

The term "intercept" refers to the location where a line or curve intersects an axis on a graph. An object's x-intercept is defined as where a point crosses the x-axis. The term "y-intercept" refers to a point that crosses the y-axis. The intersection of the x-axis and the y-axis is what is meant by a line's intercept.

Use the slope-intercept form y=mx+b to find the slope m.

7x-6y=-15

m=−7/6.

Use the slope-intercept form y=mx+b to find the slope m.

−7x−6y=−15

m = −\(\frac{7}{6}x+\frac{5}{2}\)

The term "intercept" refers to the location where a line or curve intersects an axis on a graph.

The intercepts of the lineare( −7/6),( −\(\frac{7}{6}x+\frac{5}{2}\)).

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Answer:

$10750

Step-by-step explanation:

Given data

Total amount Skye needs= $17,150

We are told that each year She will receive $4300 in scholarships

and She will earn $2100 each year

Each year She will get= 4300+2100= $6400

Hence the deficit is = 17150-6400= $10750

Therefore the estimate cost she will have to pay per year is $10750

Answer:

The answer is ≈3 to the nearest whole number

Step-by-step explanation:

using SOH CAH TOA

BCA

sin0=opp/hyp

sin0=7.9/11

0=sin‐¹(7.9/11)

0=46 to the nearest degree

<A=<D

so,<EDF=46°

tan0=adj/hyp

tan46=x/3.3

x=tan46×3.3

x=3 to the nearest whole number

The summation of the given number sequence can be written as below:

  \(\sum\limits_{n=1}^6 \frac{n}{13-n}\)

What is meant by number series?

A series in mathematics is the addition of an unlimited number of quantities, one after the other, to an initial quantity. A list of elements or objects that have been arranged sequentially is referred to as a sequence. The total of all the terms in a sequence can be used to very broadly define a series. All of the terms in the sequence must, however, clearly relate to one another. We must identify the laws that lead to the production of a number series in order to answer the questions about number series.

The given series is:

 1/12 + 2/11 + 3/10 + 4/9 + 5/8 + 6/7

We can observe from the sequence at the numerator of the terms is increasing by one and the numerator of the first term is 1.

The denominator, on the other hand, is decreasing by 1 and the denominator of the first term is 12.

The number of terms is 6.

So we can write the limit of n as 1 to 6.

The value of n is the numerator of the sequence.

The denominator value will be (13 - n).

Therefore the summation of the given number sequence can be written as below:

  \(\sum\limits_{n=1}^6 \frac{n}{13-n}\)

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Answer:

(7,10)

Step-by-step explanation:

it's where the graph peaks

So, the answer to the question is that the fourth-degree polynomial with integer coefficients that has zeros at 3i is:
x^4 - 2x^3 - 7x^2 + 54x - 72.

To find a fourth-degree polynomial with integer coefficients that has zeros at 3i, we know that the conjugate of 3i, which is -3i, must also be a zero. So, we can start by setting up our polynomial with the factors (x-3i)(x+3i).
Expanding this, we get:
(x-3i)(x+3i) = x^2 - (3i)^2
= x^2 + 9
Now, we need to find two more roots that will make this a fourth-degree polynomial. We can choose any two integers for these roots, but let's say we choose -2 and 4. Then, our polynomial would be:
(x-3i)(x+3i)(x+2)(x-4) = (x^2+9)(x+2)(x-4)
Expanding this out gives us our fourth-degree polynomial with integer coefficients:
x^4 - 2x^3 - 7x^2 + 54x - 72
So, the answer to the question is that the fourth-degree polynomial with integer coefficients that has zeros at 3i is:
x^4 - 2x^3 - 7x^2 + 54x - 72.

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Answer:

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = |5x + 1| - 3  - 4 = |5x + 1| - 7

Answer:

x = 1/3 (e^5)

Step-by-step explanation:

Find the value of x.

-5+2 ln(3x)=5

Add 5 to each side.

-5+5+2 ln(3x)=5+5

2 ln(3x)=10

Divide by 2.

2/2 ln(3x)=10/2

ln(3x)=5

Raise each side to base e.

e^ln (3x) = e^5

3x = e^5

Divide by 3.

x = 1/3 (e^5)

Answer:

2ln(3x)=10

so

ln(3x)=5

and we have

ln(3x)=ln(e5)

so

3x=e5

x=e5/3

Answer:

x = 16

AB = 25

BC = 15

AC = 20

Step-by-step explanation:

I have marked the vertices to explain

There are three right triangles that can be seen in the picture

Δ ABC with legs BC and AC and hypotenuse AB

ΔACD with legs AD and CD and hypotenuse AC

ΔBCD with legs CD and BD and hypotenuse BC

We will using the Pythagorean formula in all three triangles:
hypotenuse² = sum of squares of legs

------------------------------------------------------------------------------------------

(1) Let's first find missing side BC

In right triangle ΔBCD ,
BC² = CD² + BD²

We have CD = 12, BD = 9
BC² = 12² + 9²
= 144 + 81

= 225

BC = √225 = 15

--------------------------------------------------------------------------------------------------
(2) Now let's focus on ΔABC

AB is the hypotenuse
AC and BC are the legs

AB² = AC² + BC²

or

AC² = AB² - BC²

Since AB = AD + BD = x + 9 and BC = 15

AC² = (x + 9)² - 15²

(x + 9)² = x² + 2 · 9 · x + 9² = x² + 18x + 81

15² = 225

AC² =  x² + 18x + 81 -225

AC² =  x² + 18x - 144                  (1)

-----------------------------------------------------------------------------------------------

(3) Now let's turn our attention to ΔACD with legs AD and CD  and hypotenuse AC

AC² = AD² + CD²

With AD = x and CD = 12,

AC² = x² + 12²

AC² = x² + 144                               (2)

------------------------------------------------------------------------------------------------

Equations (1) and (2) have the same left side, AC²
So the expressions on the right side must be equal

Therefore:

x² + 18x - 144     =  x² + 144

x² terms cancel out from left and right sides giving

18x - 144 =  144

Add 144 on both sides:
18x - 144 + 144 = 144 + 144

18x = 288

x = 288/18 = 16

Plugging this into equation (2) AC² = x² + 144 gives
AC² = 16² + 144

AC² = 256 + 144

AC² = 400

AC = √400

or

AC = 20

Since AB is the third unknown side and AB = x + 9 we get
AB = 16 + 9 = 25

A point on the edge of the tire moves through 172,800 degrees when it rotates 480 times per minute.

A tire rotating 480 times per minute means that it completes 480 revolutions in one minute. To determine the number of degrees a point on the edge of the tire moves, we need to know the circumference of the tire.

The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the radius of the tire is equal to half its diameter.

Let's assume that the diameter of the tire is d units. Therefore, the radius would be r = d/2 units.

Now, we can calculate the circumference of the tire using the formula mentioned earlier:

C = 2πr

C = 2π(d/2)

C = πd

So, for every revolution of the tire, a point on its edge travels a distance equal to its circumference, which is π times its diameter.

To find out how many degrees a point on the edge of the tire moves during one revolution, we need to know how many degrees are in one complete revolution. A full circle consists of 360 degrees.

Therefore, for each revolution, a point on the edge of the tire moves 360 degrees.

To calculate how many degrees a point on the edge of the tire moves when it rotates 480 times per minute, we multiply the number of revolutions by the number of degrees in one revolution:

Degrees moved = Number of revolutions × Degrees in one revolution

Degrees moved = 480 revolutions × 360 degrees

Degrees moved = 172,800 degrees

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The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1).To solve this problem, we need to use the permutation formula since the order of books on shelves matters.

We can start by finding the total number of ways to arrange n books on m shelves, where n is the number of books and m is the number of shelves.

If we have n books and m shelves, the number of ways to arrange the books on the shelves without any restrictions is m^n. However, since we have the additional restriction that each shelf must contain at least one book, we need to subtract the number of arrangements where one or more shelves are left empty.

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1), since we can choose the empty shelf in m ways, and then arrange the remaining n-1 books on the (m-1) non-empty shelves in (m-1)^(n-1) ways. However, we need to be careful not to double-count the arrangements where two shelves are left empty, so we add back in the number of arrangements where two shelves are empty, which is m choose 2 * (m-2)^(n-1). We continue this process until we've accounted for all the possible combinations of empty shelves.

Therefore, the total number of arrangements with at least one book on each shelf is:

m^n - m*(m-1)^(n-1) + m choose 2 * (m-2)^(n-1) - m choose 3 * (m-3)^(n-1) + ...

This expression can be simplified using the principle of inclusion-exclusion, but it still depends on the values of n and m.

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The present value of the annuity that will pay the given periodic payments is $ 332.99

since we are given a monthly payment of $430.80  for the period of  6 years with an interest of  4.3%, and it is said that the compounding periods and the payment periods are the same for an annuity and for an amortization.The formula for calculating the   present value of the annuity  is : FV= PV(1+i/12)¹²ⁿ, where F Vis the future value,  PV is the present value, i is the interest and n is the period of time.So substituting the know values in the above formula, we get the present value to be: $ 332.99

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Answer:

9a + 6b and 5c - 3d

Step-by-step explanation:

(a)

4a + 7b + 5a - b ← collect like terms

= (4a + 5a) + (7b - b)

= 9a + 6b

(b)

6c + 4d - c - 7d ← collect like terms

= (6c - c) + (4d - 7d)

= 5c - 3d

Answer:

a) \(3(3a + 2b)\)

b) \(5c - 3d\)

Step-by-step explanation:

a) \(4a + 7b + 5a - b\)

Lets arrange all like terms.

\( = > 4a + 5a + 7b - b\)

\( = > 9a + 6b\)

Taking 3 common from the terms,

\( = > 3(3a + 2b)\)

b) \(6c + 4d - c - 7d\)

Lets arrange all like terms.

\( = > 6c - c + 4d - 7d\)

\( = > 5c - 3d\)

Check the picture below.

The correct options are f(-1) = -11, f(3) = -3 and f(0) = -9.

Given equation:-

f(x) = 2x - 9

We have to find which of the following are correct:-

f(-1) = -11 ,f(2) = 5 ,f(3) = -3 ,f(0) = -9 and, f(-3) = 15

Putting x = -1 in the given equation, we get:-

f(-1) = 2*(-1) - 9 = -2 - 9 = -11

Hence, this is true.

Putting x = 2 in the given equation, we get:-

f(2) = 2*(2) - 9 = 4 - 9 = -5

Hence, this is false.

Putting x = 3 in the given equation, we get:-

f(3) = 2*(3) - 9 = 6 - 9 = -3

Hence, this is true.

Putting x = 0 in the given equation, we get:-

f(0) = 2*(0) - 9 = 0 - 9 = -9

Hence, this is true.

Putting x = -3 in the given equation, we get:-

f(-3) = 2*(-3) - 9 = -6 - 9 = -15

Hence, this is false.

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a crab has a exoskeleton

Answer: 2 6/7

Step-by-step explanation:

Answer:

Answer is 75/32

Step-by-step explanation:

Convert the mixed number to an improper fraction so 7 1/2 changes to 15/2 divided by 2x5/8 but then you change the 2 to 1/2 so 15/2 x 1/2 x 5/8

then you multiply the fractions then you get 75/32

The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.

To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:

where x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.

For a pregnancy length of 240 days, the z-score is:

For a pregnancy length of 306 days, the z-score is:

To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:

To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:

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Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

Answer:

Answer is 11/2.

Step-by-step explanation:

I hope it's helpful!

Answer:

11/2

Step-by-step explanation:

550% is the same as 5.5 because 550/100=5.5

5.5 as a fraction is 55/10, which simplifies to 11/2

Correct answer is c. the temperature is too warm When the temperature is warm, it can cause a higher rate of evaporation, which increases humidity.

If a device shows that a place has high humidity but there are no clouds in the sky, you can say that it is because the temperature is too warm. High humidity occurs when the air is holding a lot of moisture, and warm air can hold more moisture than cool air.

As the temperature rises, the air can hold more and more moisture until it reaches a point where it becomes saturated, leading to high humidity. Therefore, if there are no clouds in the sky, it is likely that the temperature is high and causing the high humidity reading.

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