Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth.​

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

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]

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:

5

Step-by-step explanation:

Anything below 5 is a fail:

3, 2, 0, 1, 3

That's 5 students.

The 90% , 99% confidence interval for the population mean is 32.145 < [tex]\rm \mu[/tex] < 35.855 and 31.093 <  [tex]\rm \mu[/tex] < 36.907

Probability is the study of likeliness of an event to happen.

It is given that

Total Population = 50

Mean = 35

The confidence interval is given by

[tex]\rm CI = \mu + z \dfrac{s}{\sqrt n}[/tex]

[tex]\rm \mu[/tex] is the mean

z is the confidence level value

s is the standard deviation

n is the population width

(a) The 90% confidence interval for the population mean

90% [tex]\rm \alpha / 2[/tex]  = 0.05

Z = 1.64

34 [tex]\rm \pm[/tex] 1.64 * 8 / √50

34 [tex]\rm \pm[/tex]  1.855

32.145 < [tex]\rm \mu[/tex] < 35.855

(b)  The 99% confidence interval for the population mean

99% [tex]\rm \alpha / 2[/tex]  = 0.005

Z=2.57

34  [tex]\rm \pm[/tex] 2.57 * 8 / √50

34 [tex]\rm \pm[/tex]  2.907

31.093 <  [tex]\rm \mu[/tex] < 36.907

Therefore the confidence interval for population mean has been determined.

The complete question is

A simple random sample of 50 items from a population width =7  resulted in a sample mean of 35. If required, round your answers to two decimal places.

a. Provide a 90% confidence interval for the population mean

b. Provide a 99% confidence interval for the population mean

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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:

The answer is B / y= 10x+25

Step-by-step explanation:

your welcome

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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Hello !

56)

[tex]5 {x}^{2} + 8x = - 1 \\ 5 {x}^{2} + 8x + 1 = 0[/tex]

[tex]\Delta = {b}^{2} - 4ac \\ = {8}^{2} - 4 \times 5 \times 1 \\ = 64 - 20 \\ = 44[/tex]

The value of the discriminant is 44.

57) ∆>0 : there are two solutions.

58)

[tex]x_1 = \frac{ - b + \sqrt{\Delta} }{2a} \\ = \frac{ - 8 + \sqrt{44} }{2 \times 5} \\ = \frac{ \sqrt{11} - 4 }{5} [/tex]

[tex] x_2 = \frac{ - b - \sqrt{\Delta} }{2a} \\ = \frac{ - 8 - \sqrt{44} }{2 \times 5} \\ = \frac{ - \sqrt{11} - 4 }{5} [/tex]

Have a nice day

56. 44

57. 2

58. Image attached.

First, let's simplify some things. Let's make this a quadratic equation.

Moving the -1 (by adding 1 to both sides) gives us 5x^2 + 8x + 1 = 0. Note that this is the standard form of a quadratic, which is ax^2 + bx + c = 0.

Now, the discriminant. The discriminant is helpful because it tells us if we have 2 real solutions, 1 real solution, or if this equation is imaginary and thus impossible to solve using elementary techniques. If the discriminant is greater (>) than 0, then it has 2 solutions. If the discriminant equals (=) 0, it has 1 solution. If the discriminant is less than (<) 0, then it is imaginary.

The discriminant of a quadratic equation is defined as b^2 - 4ac (from the quadratic formula.) We just plug in b, a and c. b will be 8, a will be 5, and c will be 1. Now we just solve. (8)^2 - 4 * 5 * 1 = 64 - 20 = 44. Since 44 is greater than 0, we have 2 solutions for this. 44 is the discriminant. (Answer to 56.) We also have 2 solutions (answer to 57.)

Now, I'll solve the quadratic equation using the quadratic formula. I'll attach my work in an image (answer to 58.)

Hope this helped!

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.

Answer:

x=-3/2 or-2

Step-by-step explanation:

hope this helps

Answer:

55,55

Step-by-step explanation:

hereakaigdidjuwjapwwjshd

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:

A

Step-by-step explanation:

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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The construction is to draw a parallel line to a given line AB passing through point P. To fix the error, the 3rd arc must be reconstructed. Thus the correct option is D. The third arc should be drawn centered at F.

The given construction involves drawing a parallel line through a given point P to a given line AB.

From the construction shown, drawing a straight line through P and G would not be parallel to the given line AB. Thus there is an error in the construction of the 3rd arc. To draw the required corresponding angle, the 3rd arc has to be reconstructed.

Therefore to fix the error the correct step to follow is: Option D. The third arc should be drawn centered at F.

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Kindly contact a 1-on-1 tutor if more explanations are needed.

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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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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The measure of the angle x is 53.13 degrees after applying the sin ratio.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Applying sin ratio:

sinx = 12/15

sinx = 0.8

x = 53.13 degrees

Thus, the measure of the angle x is 53.13 degrees after applying the sin ratio.

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Answer:

Area = 49.15

Step-by-step explanation:

area = 0.5 * side a * side b * sin(Angle)

area = 0.5 * 10 * 12 * sin(55)

area = 60 * 0.8192

49.15

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]

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.

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

Option 1 is correct. The correct solution about these functions is that The original population of State A was double of the original population of State B.

The function in the question is given as

For A:

[tex]F(x) = 4*(1.08)^x[/tex]

For B

[tex]g(x) = 2*(1.08)^x[/tex]

The exponential growth equation that is used to solve this is

[tex]h(x) = A(r)^x[/tex]

such that A is the initial and r is the rate of growth.

f(x) and g(x) are at the same rate but the exponential function is known to grow faster.

Hence the correct option is The original population of State A was double of the original population of State B.

Which conclusion is correct about the population of State A and State B? 1. The original population of State A was double of the original population of State B.

2. The original population of State A was half of the original population of State B.

3. The original population of State B was one-fourth of the original population of State A.

4. The original population of State A was one-fourth of the original population of State B.

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Answer:

Step-by-step explanation:

honestly thats what it is

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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Answer:

option C: Asian

explanation:

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

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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