an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answer:

$16.50

Step-by-step explanation:

$27.50/5=5.5

5.5*3=16.5

Answer:

What we can do is calculating what one bag cost. If we know that 5 cost 27.50 dollars, to know how much does one cost we only divide:

27.50/5 = 5.50 dollars

Now, we know how much does one bag cost, so we multiply it by three:

5.50 * 3 = 16.50

Now, we know 3 bags cost 16.5 dollars

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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The scale factor of the dilation is k = 1/3

Given data ,

Let the coordinates of the triangle KLM be

K ( -2 , 8 ) , L ( 7 , 2 ) and M ( -15 , -1 )

Let the coordinates of the triangle RST be

R ( 4 , 8 ) , S ( 7 , 6 ) and T ( 0 , 5 )

Scale factor = Distance from center of dilation to corresponding vertex of image triangle / Distance from center of dilation to corresponding vertex of pre-image triangle

Distance from center of dilation C to vertex R = √((xR - xC)^2 + (yR - yC)^2)

Distance from center of dilation C to vertex K = √((xK - xC)^2 + (yK - yC)^2)

Plugging in the given coordinates:

Distance from center of dilation C to vertex

R = √((4 - 7)² + (8 - 8)²) = √9 = 3

Distance from center of dilation C to vertex

K = √((-2 - 7)² + (8 - 8)²) = √81 = 9

Now, we can calculate the scale factor:

Scale factor = Distance from center of dilation to corresponding vertex of image triangle / Distance from center of dilation to corresponding vertex of pre-image triangle

Scale factor = 3 / 9 = 1/3

Hence , the scale factor of the dilation that maps triangle KLM to triangle RST with the center of dilation at point C(7, 8) is 1/3

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Answer:

3/2

Step-by-step explanation:

Answer: 18.7 lbs

Step-by-step explanation:

1kg = 2.2 lbs

This means that you multiply 2.2 and 8.5 (2.2×8.5)

Answer:

With enough centrifugal force and outward thrust the rocket can exceed the pull of the vacuum no matter how strong it is.

Step-by-step explanation:

Answer:

20 miles

Step-by-step explanation:

Add $1.50 plus $0.60 times 20 which is $13.50

The number you multiply to get to $13.50 is the amount of miles

Answer/Step-by-step explanation:

\( \overline{AB} \parallel \overline{CD} \parallel \overline{EF} \) ----› Given

\( \angle 1 + \angle 2 = 180 \) ----› consecutive interior angles are supplementary

\( \angle 3 + \angle 4 = 180 \) ----› consecutive interior angles are supplementary

Therefore:

\( \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 \)

Answer:

p=13

Step-by-step explanation:

because I said so and it right

Answer:

P=13

Step-by-step explanation:

Solving the equation ,

It is given that the person S has a dog walking business

He charges 5$ per 30 minutes for each dog he walks.

Therefore in one hour, there are 60 minutes since

He gets 5$ for 30 minutes

Therefore he will get:

10 dollars for 1 hour.

Answer:

75%

Step-by-step explanation:

The answer is 75% because each point/dot, represents 25% of the data.  Below 345 meters are 3 points, therefore 3 * 25% = 75%.

Approximately 75% of the buildings are no taller than 345 meters for the box-and-whisker plot.

A box and whisker plot (also known as a box plot) depicts a five-number summary of a set of data: lowest, lower quartile, median, upper quartile, and maximum.

The box-and-whisker plot represents the heights (in meters) of the tallest buildings in Chicago.

We can see that all three of the data points that are less than or equal to 345 meters are included in the lower half of the box-and-whisker plot, which represents the range from the minimum to the median height.

This means 3 × 25% = 75%.

So, we can estimate that approximately 50% of the buildings are no taller than 345 meters.

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Answer:-5(3c-2

Step-by-step explanation:

Answer: -15c + 10

Step-by-step explanation:

-7c + 9 - 8c + 1

Combine Like Terms:

(-7 -8c) + (9+1)

-15c + 10

There are many ways to find f and g, so the composition of those is  (f o g)(x) = 4/(x² + 9).

A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.

Find f and g, so that                        

(f o g)(x)  =  4/x²+9                

Well, there is more than one possibility.                                                  

For instance, It can be:  f(x)  = 4/x  and  g(x) = x² + 9

and then you have                          

(f o g)(x)  =  f[ g(x) ]                    

(f o g)(x)  = 4/g(x)                      

(f o g)(x)  =  4/x²+9                                                      

Another possibility:   f(x)  =  4/x+9    and g(x) = x²

and for those, you get

(f o g)(x)  =  f[ g(x) ]              

(f o g)(x)  =   4/g(x)+9      

(f o g)(x)  =  4/x²+9                                                              

Since f and g can be found in a variety of ways, as you can see above, the composition of those is  (f o g)(x) = 4/(x² + 9).

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Answer:

WX = WY

9x - 11 = 7x - 3..........Then subtract 7x to the other side such that

2x - 11 = -3..........Then add 11 to both sides such that

2x = 8...........Then divide 2 such that

x = 4

Now we can find each side such that

WX = 9(4)-11 = 25

WY = 7(4)-3 = 25

XY = 4(4)+1 = 17

The value of x is 4 and the length of side WX is 25, WY is 25 and XY is 15 and this can be determined by using the given data and arithmetic operations.

Given :

Given that Angle x \(\cong\) Angle y then according to properties of triangle WX = WY.

WX = WY

9x - 11 = 7x - 3

2x = 8

x = 4

Now, put the value of x in the given data in order to find the length of each side.

WX = 9(4) - 11 = 25

XY = 4(4) - 1 = 15

WY = 7(4) - 3 = 25

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Answer:

$79.7468

Step-by-step explanation:

Answer:

The answer is no solution

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

7.36 for each cap

$36.80 is the cost for 5 caps. if we divide the cost of the pack to the individual number of idems (caps), the equation (36.80÷5) will come out to $7.36, meaning $7.36 is the cost for each individual cap.

Option (a) is correct: the t distribution with df = 1 is the most different from the standard normal distribution N(0,1).

The t-distribution with df = 1 is the most different from the standard normal distribution N(0,1).

The t-distribution is a family of distributions that is similar in shape to the normal distribution but has heavier tails. The degree of freedom (df) parameter determines the shape of the t-distribution. As the df increases, the t-distribution approaches the normal distribution.

When df = 1, the t-distribution has a very different shape from the normal distribution. It has a much higher peak and much heavier tails, making it a more extreme distribution than the normal distribution. This is because the t-distribution with df = 1 has less data to work with, which leads to more extreme values.

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

Answer:

u = 2\(\sqrt{3}\)

Step-by-step explanation:

using the sine ratio in the right triangle and the exact value

sin60° = \(\frac{\sqrt{3} }{2}\) , then

sin60° = \(\frac{opposite}{hypotenuse}\) = \(\frac{u}{4}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2u = 4\(\sqrt{3}\) ( divide both sides by 2 )

u = 2\(\sqrt{3}\)

Put the values

Area:-

\(\\ \rm\Rrightarrow \dfrac{1}{2}(24)(8+13)\)

\(\\ \rm\Rrightarrow 12(21)\)

\(\\ \rm\Rrightarrow 252m^2\)

Answer:

Step-by-step explanation:

Divide the quadrilateral field into two triangles by its diagonal.

Area of a triangle is given by the equation 1/2*base*height.

The top triangle's area = 1/2*24*13 = 156 m^2

The bottom triangle's area = 1/2*24*8 = 96 m^2

Combining, the area of the field = 156 + 96 = 252 m^2

Answer:

Step-by-step

3

Oh i miss 6th grade im in 7th now lol and yes  but i thank number 2 is 3 cnts

Answer:

4/7

Step-by-step explanation:

Answer:

4/7 ounces of butter makes a pound of jello

Step-by-step explanation:

7 times 4 is 28, so 4/28 ounces of butter for 7/28 pounds of jello. so 4/28 times 4 is 16/28. 16/28 is our answer, then simplified is 4/7. Thats how we get our answer.

Answer:

The population of each year is,

20/100 * 5000 = 1000

The population of 15 years is,

1000 * 15 = 15000

The total of 15 plus the 5000 years is,

15000 + 5000 = 20000

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The Mean of a standard normal distribution is always equal to 0. This statement is true.

The standard normal distribution is a normal distribution with a mean of zero and a standard deviation of one. The density curve of a standard normal distribution is bell-shaped and symmetric. Its total area under the curve is equal to 1.00.A normal distribution with a mean (µ) of zero and a standard deviation (σ) of one is called a standard normal distribution. Any normal distribution can be converted into a standard normal distribution by using a process known as standardization. Z-score formula is used to find the probability and value associated with any normal distribution.What is a normal distribution?A normal distribution is a statistical term that describes a symmetrical, bell-shaped probability distribution that has a particular mathematical formula. It's used to explain and assess natural phenomena such as height, blood pressure, and intelligence quotient (IQ).A normal distribution is a probability distribution with a bell-shaped curve that is symmetrical. The mean (µ) is the center of the curve, while the standard deviation (σ) determines its width. Most of the values in a standard normal distribution are concentrated within three standard deviations of the mean, as seen in the figure. The standard normal distribution is one of the most often utilized continuous probability distributions in statistical theory.

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