What is the value of k in the product of powers below?
10^3 x 10 x 10^k = 10^-3= 1/10^-3

-3
-1
0
1

The distance between the two points on the plane is √17

The formula for calculating the distance between two points is expressed as;

D = √(x2-x1)²+(y2-y1)²

From the given plane, we have the following coordinates

(-5, 4) and (-1, 3)

Substitute

D = √(3-4)²+(-1-(-5))²

D = √(-1)²+(4)²

D= √1+16
D=√17

Hence the distance between the two points on the plane is √17

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The answer to this question is choice B

Answer:

f⁻¹(1/5) = 2

Explanation:

If f(x) = (2x -3)/5

To find inverse of f(x), make x the subject.

[tex]f(x) = \dfrac{2x - 3}{5}[/tex]

[tex]5 f(x) = 2x - 3[/tex]

[tex]2x = 5 f(x) + 3[/tex]

[tex]x = \dfrac{5 f(x) + 3}{2}[/tex]

Then,

[tex]f^{-1}(x) = \dfrac{5x+3}{2}[/tex]

To find f⁻¹(1/5), simplify insert [x = 1/5 or 0.2]

[tex]f^{-1}(0.2) = \dfrac{5(0.2)+3}{2}[/tex]

which yields

[tex]f^{-1}(0.2) = 2[/tex]

Step-by-step explanation:

From the conversation of angular momentum

Initial momentum=final momentum

Here,

Since body is initially resting, it's momentum must be zero.

Let v be velocity of third piece. Then

0= 10(-3i+2j) + 18(5i-4j) + 22v

Solving this we get,

v= 4/22(15i+13j).

The velocity of third piece is 2/11(13 j - 15i)

Velocity defines the direction of the movement of the body or the object.

Given:

As the body is at rest so the initial momentum is zero.

Let v be velocity of third piece.

so,

0= 10(-3i+2j) + 18(5i-4j) + 22v

0= -30i + 20j + 90i -72j + 22 v

0= 60i - 52j + 22 v

-60i +52j = 22v

v= 2/11( 13j - 15 i)

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Answer:

6

Step-by-step explanation:

The average cost per cleaning service call charge by the company is $184.5.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the total cost for x number of service calls in a year. Hence:

y = 39x + 349200

For 200 service call, in a year, x = 200 * 12 = 2400

y = 39(2400) + 349200 = $442800

Average cost = $442800 / 2400 = 184.5

The average cost per cleaning service call charge by the company is $184.5.

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The values of the piecewise function are f(-6) = 6 and f(2) = 1

The complete question is in the attached image.

The value x = -6 is in the domain: -8 <= x < 1

The function at this domain is:

f(x) = |x|

So, we have:

f(-6) = |-6|

Evaluate

f(-6) = 6

Also, we have:

The value x = 2 is in the domain: x >= 1

The function at this domain is:

f(x) = 3

So, we have:

f(2) = 1

Hence, the values of the piecewise function are f(-6) = 6 and f(2) = 1

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First function - The function is not continous on [0, 5] because h(5) is not defined.

Second function - There are no discontinuities.

In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.

The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:

5 - x = 0

x = 5

The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)

In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.

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The numbers whose sum is 32 in which one number is 3 times the other is 8 and 24 respectively.

Let

x + 3x = 32

4x = 32

x = 32/4

x = 8

So,

3x = second unknown

= 3(8)

= 24

Check:

x + 3x = 32

8 + 24 = 32

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(4 wks/mo)(1/2 lb/wk) = 2 lb/mo

(4_1/3 wks/mo)(1/2 lb/wk) = 2.17 lb/mo

Women who visit Shania's gym three times per week have the ability to drop two pounds in a month.

If women visit Shania's gym three times a week and can lose 1/2 pound per week, we can calculate how many pounds they can lose in a month (assuming a month has four weeks on average).

The rate of weight loss is 1/2 pound per week. So in one month, which is four weeks, the weight loss would be:

Weight loss per week × Number of weeks in a month = (1/2) × 4 = 2 pounds

Therefore, women visiting Shania's gym three times a week can potentially lose 2 pounds in a month.

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Answer:

option C: Asian

explanation:

Asian countries, such as China, produce goods like the European products, but for much cheaper prices.

Answer:

The answer is B / y= 10x+25

Step-by-step explanation:

your welcome

The height of the tree based on the information is 229.23.

Based on the information given,

tan 50 = h/x + 60

h = (x + 60)tan 50°

x tan 60 = (x + 60)tan 50°

x(tan 60° - ta 50°) = 60 ta 60

x = 132.34

Therefore, the height will be:

= x tan60°

= 132.34 × tan 60

= 229.23

Therefore, the height is 229.23.

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Answer:

x=-3/2 or-2

Step-by-step explanation:

hope this helps

Answer:

  y = cos(3/2x)

Step-by-step explanation:

A general sine or cosine function will have parameters of amplitude, vertical and horizontal offset, and period. The values of these parameters can be determined from the given graph.

  y = A·cos(2π(x -B)/P) +C

where A is the amplitude, B and C are the horizontal and vertical offsets, and P is the period.

For sine and cosine functions, the amplitude of the function is half the difference between the maximum and minimum:

  A = (3 -1)/2 = 1

A sine function has its first rising zero-crossing at x=0. A cosine has its first peak at x=0. The given graph has its first peak at x=0, so it is a cosine function with no horizontal offset.

  B = 0

For sine and cosine functions, the vertical offset is the average of the maximum and minimum values:

  C = (3 +1)/2 = 2

The period is the difference in x-values between points where the function starts to repeat itself. Here, we can use the peaks to identify the period as 4π/3.

  P = 4π/3

Using the parameter values we determined, the function can be written as ...

  y = cos(3/2x) +2

__

Additional comment

The argument of the cosine function is ...

  [tex]\dfrac{2\pi(x-B)}{P}=\dfrac{2\pi(x-0)}{\dfrac{4\pi}{3}}=\dfrac{3(2\pi)}{4\pi}x=\dfrac{3}{2}x[/tex]

Answer:

. It will curl without heat. You Never attempt to use hot tools, like a curling iron, on a synthetic wig – unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig using the method below.

Step-by-step explanation:

Answer:

Yes, it is possible to curl a synthetic wig. But you should never attempt to use hot tools, like a curling iron, on a synthetic wig, unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig.

[tex]\huge\boxed{94\%}[/tex]

Simply use division to solve this problem.

[tex]\dfrac{\$658}{\$700}=0.94[/tex]

Now, multiply this by 100 to get a percentage.

[tex]0.94=\large\boxed{94\%}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

49

1

1/6

Step-by-step explanation:

7^2 is just 7 * 7 = 49

4^0 = 1, since anything to the power of 0, is 1.

[tex]6^{-1}[/tex] is equal to [tex]\frac{1}{6}[/tex] since [tex](\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}[/tex]. Whenever you have a negative exponent, you flip the fraction, in this case the fraction is 6/1 so it becomes 1/6. then distribute the exponent across the division and you get 1^1/6^1 which is just 1/6

Answer:

Step-by-step explanation:

hey

please like my question

Step-by-step explanation:

there are a lot of typos and missing info in your problem and answer option definition.

based on what I understood the answer should be

"the second answer option".

this is where A and B have an arc angle (or inner angle at the center of the circle) of 60°.

one could see the 3rd answer to be right too, as the angle between A and B at Y is also 60°.

but I don't think this is really the meaning of this question here.

The length of the model as described in the task content would be; 23 inches.

According to the task content, it follows that for every 25 feet measure of the actual ship length, the representation is 1 inch on the model.

On this note, for 575 feet length of the actual ship, the length of the model is; 575/25 = 23 inch.

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Answer:

55,55

Step-by-step explanation:

hereakaigdidjuwjapwwjshd

Using the normal distribution, it is found that:

a) [tex]X \approx N(25150, 12050)[/tex]

b) There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

c) Low: $23,519.65, High: $26,580.35.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 25150, \sigma = 12050[/tex].

Hence the distribution of X can be described as follows:

[tex]X \approx N(25150, 12050)[/tex]

The probability that the college graduate has between $14,200 and $33,950 in student loan debt is the p-value of Z when X = 33950 subtracted by the p-value of Z when X = 14200, hence:

X = 33950:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{33950 - 25150}{12050}[/tex]

Z = 0.73

Z = 0.73 has a p-value of 0.7673.

X = 14200:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{14200 - 25150}{12050}[/tex]

Z = -0.91

Z = -0.91 has a p-value of 0.1814.

0.7673 - 0.1814 = 0.5859.

There is a 0.5859 = 58.59% probability that the college graduate has between $14,200 and $33,950 in student loan debt.

Considering the symmetry of the normal distribution, the middle 10% is between the 45th percentile(X when Z = -0.127) and the 55th percentile(X when Z = 0.127), hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.127 = \frac{X - 25150}{12050}[/tex]

X - 25150 = -0.127(12050)

X = $23,519.65.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.127 = \frac{X - 25150}{12050}[/tex]

X - 25150 = 0.127(12050)

X = $26,580.35.

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Answer:

21

Step-by-step explanation:

18÷6=3 attemps

13÷6=2 makes

she will probably missed I next 3rd pe alty kick

21st attempts

Answer:

csc x - cot x

Step-by-step explanation:

(sinx)/(1+cos x)

Multiplying the numerator and denominator by (1-cos x),

((sinx)(1-cos x))/(1-cos² x)

((sinx)(1-cosx))(sin²x)

(1-cosx)/(sinx)

cscx - cot x

Answer

D.42

Step-by-step explanation:

It's pretty easy and hard at the same time just do not overthink it. Obviously, the bus leaves with R occupants including the driver but that still means that there are occupants, to begin with. Now remembering that 3 people get on each stop you can take it to multiply 3*10  (3 people, ten stops) you would get thirty. Would this be the answer? NO! Remember that you began with R occupants to begin with and either using the process of elimination or common sense you can conclude that 12,24 are improbable answers because they are lower than thirty, and what about thirty? No, because you had thirty people in addition to the original occupants so that eliminates thirty. What's left?

                                                             42

                                              There Is Your Answer

Answer:

================

Let's find out the how many occupants are there after 20 and 4 stops, then compare:

After 20 stops:

After 4 stops:

Compare and solve for R:

We found the number of initial occupants.

Use this  to find the number of occupants after 10 stops:

Correct answer choice is D.

15%

{100-(55+30)}%

={100-(85)}%

=15%

The probability of rolling a number less than 14 among {1,2,3,4} is 1.

Given The dice is 4 sided. Likely outcomes is {1,2,3,4} and we have to find the probability of rolling a number less than 4.

Probability is the likeliness of happening an event among all the events possible. The value of probability cannot be negative or greater than 1. It lies between 0 to 1. The formula of calculating probability is:

Probability= number of events/ total number of events.

Total likely outcomes=4 {1,2,3,4}

Numbers less than 14 = 4

Probability of rolling a number less than 14=1/4

=0.25 because all number less than 14 is present.

1,2,3,4 are all less than 14.

and because all numbers are included that's why the value of probability is 1.

Hence the probability of rolling a number less than 14 is 1.

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