1. What is the vertical distance between (5, –12) to (5, 17)?

2. What is the volume of a rectangular prism with a length of fourteen and one-fifth yards, a width of 7 yards, and a height of 8 yards?

3. The point (–7, 6) was reflected over an axis to become the point (7, 6). Which axis was it reflected over? Explain.

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

The answer is

N+ 1 = 3+2/2

=3

Step-by-step explanation:

The answer is 3

This is a odd number

Hope it's helps you

and can I get all your points

Answer:

F (n) = 3n + 1 (if n is odd) or n / 2 (if n is even)

Collapse sequence refers to each number according to this formula

until the sequence becomes equal to 1,

Find the number (which is not greater than 10000), which will have the longest Collapse sequence.

Step-by-step explanation:

Answer:

3 3

Step-by-step explanation:

graph of a line passing through the points 0 comma 3 and 3 comma 1

If greenfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years.  the total increase or decrease in income by replacing the current equipment with the new equipment is:$22,000 decrease.

Here, we have,

to find the increase or decrease in income

Annual Savings $76,000

($19,000 × 4 years)

Add Proceeds from Sale of Machine $22,000

Total  $98,000

Total increase or decrease in income = $98,000 - $120,000

Total increase or decrease in income = $22,000 (Decrease)

Therefore the decrease in income is $22,000.

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complete question:

granfield company has a piece of manufacturing equipment with a book value of $40,000 and a remaining useful life of four years. at the end of the four years the equipment will have a zero-salvage value. granfield can purchase new equipment for $120,000 and receive $22,000 in return for trading in its current equipment. the current equipment has variable manufacturing costs of $39,000 per year. the new equipment will reduce variable manufacturing costs by $19,000 per year over its four-year life. the total increase or decrease in income by replacing the current equipment with the new equipment is:

Answer:

7.447 × 10(to the power of 6.)

Step-by-step explanation:

Answer:

7.447 × 106

Step-by-step explanation:

ye

Answer:

B, C, and D

Step-by-step explanation:

ahhhhh uh you are looking for things less than that line so you would pretty much shade in the under side of the line and any point that is in that shaded region is the answer

Answer:  see image below

Step-by-step explanation:

Draw a line and label it L

Plot three points on the line and label them, M, N, and Q.

I am using o to represent each point.

<---------o-------------o---------------o-----------> L

           M              N                 Q

Answer:

x = 35

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    2/7*x-(10)=0

                 2

Simplify   —

                  7

  2        

 (— • x) -  10  = 0

  7        

Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

             10             10 • 7

   10 =  ——  =  ——————

               1                 7  

Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

           2x - (10 • 7)                       2x - 70

—————————————  =  ———————

                     7                                   7  

Pull out like factors :

  2x - 70  =   2 • (x - 35)

         2 • (x - 35)

 ————————————  = 0

                 7      

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

      2•(x-35)

 ———————— • 7 = 0 • 7

          7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2  •  (x-35)  = 0

Solve :    2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x-35 = 0

Add  35  to both sides of the equation :

                     x = 35

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

Answer:

\(\boxed{\sf x= -29.5}\)

Step-by-step explanation:

\(\sf \sqrt{-2x+5}-3=5\)

\(\sf \sqrt{-2x+5}=8\)

\(\sf -2x+5=64\)

\(\sf -2x=59\)

\(\sf \cfrac{-2x}{-2}=\cfrac{59}{-2}\)

Therefore, x = -29.5.

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

The statement that applies to the sample math is:

B. the work shown to remove all fractions is not correct

The given steps are:

y = ¹/₄x + 2

- I first isolate the constant.

- After doing so, I get the equation: -¹/₄x + y = 2

- To remove the fraction, I multiply by –4, giving the equation x - 4y=2, which is the final answer.

The correct steps are as follows:

y = ¹/₄x + 2

First isolate the constant to get: y - ¹/₄x = 2

To remove the fraction, Multiply the obtained equation by –4

So, Equation : x - 4y = -8

On comparing both the work we can see that in the given work the removal of fraction is done incorrectly

They didn't multiply -4 on the right hand side .

Thus, option B applies.

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Answer:

6x-

7y

=

-11

6x-7y=-11

Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Answer:

43/7

Step-by-step explanation:

6  1/7

First, you need to multiply 6 by 7, then add 1

43/7

Answer:

\(\frac{43}{7}\)

Step-by-step explanation:

6 x 7 + 1

there is 6 whole fractions so it would be \(\frac{7}{7}\) 6 times then add the \(\frac{1}{7}\)

which would be \(\frac{43}{7}\)

hopefully that made sense!

Answer:

\(\sf\longmapsto \: 6.666\)

Step-by-step explanation:

\(\sf\longmapsto \: \: \frac{15}{2.25} \)

Or it can be written as 15÷2.25

Thus,the answer will be in decimal.

\(\sf\longmapsto \: 6.666\)

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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The answer is \((x+9)+(x-2)\) .

We have given two statements one is " number increased by nine "

Let the number be x .

Mathematically , first statement is represented by

  x + 9

Second statement is " number decreased by two "

Mathematically , second statement is represented by

  x - 2

According to the question

Sum of first and second statement = \((x+9)+(x-2)\)

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A sequence of transformations that maps △ABC to △A′B′C′ is a rotation of 90° counterclockwise about the origin followed by a translation 2 units right.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection, or translation

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A sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

The sequence of vertices ABC(DEF in this question) is clockwise, as is the sequence of A'B'C'(D'E'F in this question). Thus, an even number of reflections is involved, if any reflections are involved. The offered choices do not include suitable reflections.

The orientation of AB(DE) is toward the right. The orientation of A'B'(D'E') is up, so there must be a rotation of 90° CCW. Rotation of 90° CCW about the origin will leave the figure in a position that is 2 units left of where it is shown. The rotation must be followed by a translation 2 units to the right.

Thus, we conclude that a sequence of transformations that maps △DEF to △D′E′F′ is a rotation of 90° counterclockwise about the origin followed by a translation two units right.

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If we both worked together then task will complete in 1/2 hour.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

You can complete one-tenth of a task in an hour.

Your friend can complete two-fifths if the same task in an hour.

So, if we worked together

= 1/10 + 2/5

= (5+ 20)/ ( 10x 5)

= 25/ 50

= 1/2

Hence, if we both worked together then task will complete in 1/2 hour.

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In 6 2/5 hours me and my friend together finish complete the task.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, I can complete one-tenth of a task in an hour.

∴ I can complete the task in 10 hours.

My friend can complete two-fifth of the task in an hour.

∴ My friend can complete the task in 2 and half hours.

So, (1/10) + (1/5/2) is the reciprocal of time together we can finish.

(1/10) + (2/5).

= (1 + 5/)10.

= 6/10.

Or 10/6 which is 6 2/5 hours.

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Answer:

C

Step-by-step explanation:

x^2+4x-45

(x+9)(x-5)

since 4x is positive, the larger factor of 45 needs to be positive

that's why the 5 is negative

when solving problems like this, just find two factors of the last number that add up to the middle number

then throw them in parenthesis with an x

Hi,

x2 + 4x − 45 can be factorized to (x + 9)(x - 5).

the correct answer is C (x + 9)(x - 5).

I added a screenshot...

XD

Answer:

C

Step-by-step explanation:

Let the first term be a and the common ratio be r.

ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3

Answer:

20 for both

Step-by-step explanation:

hope this helps

Answer:

2.46 x 10⁵

Step-by-step explanation:

Answer:

i wouldn't know that

Step-by-step explanation:

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer: 0.685 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 meter = 100 cm

x   = 68.5

Cross multiply

68.5 * 1 = 100 * x  

Divide by 100

68.5/100 = x

x = 0.68.5

Based on the returns on both the stock and bonds, we can find that stocks have a greater percentage yield by 0.88%.

= Dividend on stock / ( Cost of stock + Commission) x 100%

Commission is:

= 55/ 10

= $5.50 per share

Return is therefore:

= 2.03/ (14.79 + 5.5) x 100%

= 10%

= Interest earned / (Market value of bonds + Commission) x 100%

Interest earned:

= 8.8% x 500 x 3 bonds

= $132

Market value of bonds:

= 0.93630 x 500 x 3 bonds

= $1,404.45

Commission:

= 3% x 1,404.45

= $42.1335

Return on bonds is:

= 132 / (1,404.45 + 42.1335) x 100%

= 9.12%

= 10% - 9.12

= 0.88%

In conclusion, stock has a higher yield by 0.88%.