Find the slope from the following graph....

The scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5

If MJ is considered as the original figure, it is 25 ft. long.

The image of MJ, M'J' is 5 feet long

Scale factor is generally understood as the number of times the dimensions of the image is enlarged or diminished

Scale factor = Dimension of the new image ÷ Dimension of the original shape

Scale factor = M'J' length/ MJ length

k = 5/25

k = 1/5

The value of scale factor = 1/5, which means the new image is diminished.

Therefore the scale factor, if MJ is 25 ft. long and M'J' is 5 feet long is 1/5.

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The most appropriate choice for fraction will be given by -

8 children are allowed to use social media.

What is fraction?

Suppose there is a whole collection of objects and some parts of the objects are taken from the whole collection. Fraction represents those parts which are taken. In other words, part of a whole is called fraction. The upper part of the fraction is the numerator and the lower part of the fraction is the denominator.

Here,

Total number of children in class of Ms Bryant = 32

Fraction of students who use social media = [tex]\frac{1}{4}[/tex]

Number of children who use social media = [tex]\frac{1}{4} \times 32[/tex]

                                                                       = 8

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Answer:

11.68 m^2

Step-by-step explanation:

area of triangle = 1/2(b)(h)

b = 7.3, h = 3.2

1/2(7.3)(3.2) = 11.68

Answer:

11.68m

firstly remember area of triangle is half multiplied by base multiplied by height

The total chnage in the stock market from the day beginning of the day to the end of the day is -89 3/4 points.

A stock market simply means the market where shares and stocks are sold.

In the information illustrated, at beginning of the day the stock market goes up 30 1/2 points and at the end of the day the stock market goes down 120 1/4 points.

The change will be the the operation of the numbers through the use of addition when it goes up and subtraction when it comes down. This will be:

= 30 1/2 - 120 1/4

= -89 3/4

The change is -89 3/4 points.

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The Pearson's test of goodness fit can be used to check the significance of 0.01 but there would not be any type 1 error.

A statistical test that measures how well sample data matches a distribution from a population with a normal distribution is referred to as goodness-of-fit. Simply put, it hypothesizes if a sample is skewed or represents the data found in the actual population.

The goodness-of-fit test determines the difference between the actual and predicted values of the model in the case of a normal distribution. The chi-square is one of the approaches for determining goodness-of-fit.

Goodness-of-fit testing is a statistical technique used to draw inferences about observed values.

For example, check to see if a sampling group truly represents the entire population. That is, they establish the relationship between measured and predicted values in a model. When used in a decision-making process, goodness-of-fit tests allow you to foresee future trends and patterns.

Hence we can conclude that there would not be any error to the problem with a significance of 0.01 .

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The moon is 252,088 miles from Earth at its farthest point. The Jilene travel distance rounding the corner is 250000 miles.

Given that,

The moon is 252,088 miles from Earth at its farthest point.

According to Jillene, the moon is located roughly 250,000 miles from Earth.

We have to find where did Jillene travel distance rounding the corner.

From the given,

We have distance as 252088 miles.

We can say the approximation of the given miles.

Which we can approximately write as

250000 miles

Therefore, the Jilene travel distance rounding the corner is 250000 miles.

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The interest rate is approximately 5.23%.

Interest is the amount paid over and above the principal amount to a lender or depositor by a borrower or financial institution at a predetermined rate in the domains of finance and economics (the amount borrowed).

We know that the amount from an loan is calculated by the formula

[tex]A=P[\frac{(1+i)^n-1}{i}][/tex]

Now we will substitute that values to calculate the value of i.

putting the values we get that the value of i is 0.05229...

Therefore the rate of interest is approximately 5.23%.

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Solution

Nadine will need 36 tiles.

This question form linear equation.

What is linear equation ?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

We know, 1 feet = 12 inches

The wall is  8 feet by 8 feet

so convert it into inches we get, 96 inches by 96 inches.

It's given the tiles are 16 inches by 16 inches.

so, let x = tile she needs

x(16 * 16) = 96 * 96

now, find x

x = (96 * 96) / (16 *16)

x  = 36

so, she needs 36 tiles

Therefore, Nadine will need 36 tiles.

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Answer:

-1.94

Step-by-step explanation:

Equation: [tex]\frac{c}{-1} + 0.56 = 2.5[/tex]

-

Solving the equation:

[tex]c + 0.56 = 2.5 * 1\\c + 0.56 = 2.5\\c = 2.5 - 0.56\\c = -1.94[/tex]

The answer is option(1) i.e, f(n) = 3n-1, This question is of Arithmetic Sequence

Arithmetic Sequence the difference between one term and the next is a constant. Formula is,

aₙ = a + (n-1)d

aₙ = the nᵗʰ term in the sequence

a = the first term in the sequence

d = the common difference between terms

According to question the sequence is,

2 inches, 5 inches, 8 inches .....

where, a = 2

            d = 5 - 2 = 3

Now, put these value in formula i.e, aₙ = a + (n-1)d

aₙ = 2 + (n - 1) * 3

    = 2 + 3n - 3

     = 3n - 1

Therefore, the answer is option(1) i.e, f(n) = 3n-1.

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Answer:

-9/7

Step-by-step explanation:

∆ y = 7-(-2) = 9

∆ x = 1-8 = -7

m = ∆y/∆x = -9/7

The translated function is:

G(x) = f(x) - 1

b) The maximum of y = 2*f(x) is the point (0, 8).

We know that G(x) is a translation of f(x), and the graph of G(x) is the pink one.

We can see that it is 1 unit below f(x), then we have a translation of one unit downwards, so we can write:

G(x) = f(x) - 1

This is the rule for G(x).

b) If the maximum of f(x) is (0, 4), then:

f(0) = 4

The maximum of 2*f(x) is also at x = 0, we will get:

2*f(0) = 2*4 = 8

So the maximum here is (0, 8).

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1. The number of hours of science homework that Kalani have on Thursday is 1 1/2 hours.

2. The hours of science homework that she have for the whole school week is 4 1/2 hours.

From the information, Kalani started off with 3/4 hour on Monday and every day after that, she had 1/4 hour more than the day before.

1. This will be illustrated as:

Monday = 3/4 hour

Tuesday = 3/4 + 1/4 = 1 hour

Wednesday = 1 hour + 1/4 hour = 1 1/4 hour

Thursday = 1 1/4 + 1/4 = 1 1/2 hours.

2 The total hours will be the addition of all the values for the days of the week.

= 3/4 + 1 + 1 1/4 + 1 1/2

= 4 1/2 hours.

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Answer: pretty sure its 5 to the power of 7

Answer:

7

Step-by-step explanation:

       [tex]\sf \boxed{\dfrac{a^m}{a^n}=a^{m-n}}[/tex]

In exponent division, if bases are same, subtract the exponents.

       Let ? be 'x'.

    [tex]\sf \dfrac{^{11}}{^x}=^4\\\\5^{11-x}=5^4[/tex]

As bases are same, compare the exponents.

11 - x = 4

   -x = 4 -11

    -x = -7

     x = -7 ÷ (-1)

     x = 7

If they give up 20 yards on the opening play, they're out. The ball is on the 30-yard line.

The starting line is the 50-yard line.

The new yard line following the first play Equals (The yard line following the first play) - (The number of yards lost)

As the football team lost 20 yards after the first play.

After the second play, the new yard line is 50 - 20 = 30 yards.

After the second play, the new yard line is 30.

The ball was on the 30-yard line at the end of the second play.

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The middle point of the given numbers are 6 .

The median or the middle value is the number in the middle {2, 3, 11, 13, 26, 34, 47}, which in this instance is 13 since there are three numbers on either side.

To find the median value in a list with an even amount of numbers, one must determine the middle pair, add them, and divide by two.

The middle point of two numbers usually refers to the average of them .

thus the given numbers are - 24 and 36

This can be calculated by :

=> - 24 + 36 / 2

=> 12 / 2

=> 6  

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We are shown three pictures and asked to identify which one of them is not like others.

Let us find the ratio of width and length of each inscribed cricle.

Picture L:

Width = 3 units

Length = 4 units

Ratio = 3/4 = 0.75

Picture M:

Width = 4 units

Length = 8 units

Ratio = 4/8 = 0.50

Picture N:

Width = 9 units

Length = 12 units

Ratio = 9/12 = 0.75

As you can see, picture L and N has the same ratio of width and length that is 0.75 but the picture M has a different ratio of width and length that is 0.50

Therefore, we can conclude that picture M is not like others.

The equation in slope-intercept form for the line with slope of 8  and passing through (1,8) is y = 8x

One of the most widely used forms for expressing a line's equation is the slope intercept form of a straight line. If you know the slope of the straight line and the y-intercept, you can use the slope intercept formula to determine the equation of the line ( the y-coordinate of the point where the line intersects the y-axis). Every point along a line must satisfy its equation in order for it to exist.

y=mx + b is the equation in slope intercept form

x=1, y=8

y=8x+ b

8 = 8 + b

b= 0

The equation in slope-intercept form for the line with slope of 8  and passing through (1,8) is y = 8x

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If In the first week of​ July, a record 1,040 people went to the local swimming pool, in the second​ week, 105 fewer people went to the pool compared to the first week, in the third​ week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool in the fourth week than in the third week, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week is 30%.

As per the question statement, 1,040 people went to the local swimming pool, in the second​ week, 105 fewer people went to the pool compared to the first week, in the third​ week, 140 more people went to the pool than in the second week and 347 fewer people went to the pool the fourth week than in the third week.

We are required to calculate the overall percentage decrease in the number of pool-goers over these four weeks.

To solve this question, we simply need to calculate the exact number people who went to pool in the fourth week, and then, calculate the percentage decrease in the number of pool goes, with respect to the record of the first week.

(1040 - 105 + 140 - 347) = [(1040 + 140) - (347 + 105)] = (1180 - 452) = 728,

That is, 728 people attended the pool in the fourth week.

Therefore, the decrease in the number of pool-goers from the first week till the fourth week = 312

Therefore, the overall percentage decrease in the number of pool-goers over these four weeks, i.e., from the first week to the fourth week will be,

[(312/1040) * 100]

= [{312/(104 * 10)} * 100]

= [(312/104) * (100/10)]

= (3 * 10)

=30%

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Answer: (x,y) = (175/29, 22/29)

Step-by-step explanation:

solve the equation

y = 8 - 6/5x

3y - 8x = -46

substitute the value of y

3(8 - 6/5x) - 8x = -46

solve the equation

x = 175 / 29

substitute the value of x

y = 8 - 6/5(175/29)

solve the equation

y = 22/29

answer: (x,y) = (175/29, 22/29)

Answer:

His salary will be $282

Step-by-step explanation:

There is not written the salary of his current job, so i can't answer all questions.

anywwy for the first one you just have to do:

[tex]250 + 128 \times 0.25[/tex]

and the results is $282

Answer:

123

Step-by-step explanation:

did it in my head

The function after the transformation of f(x) is g(x) = (x - 2)^2

The equation of the graph is given as

f(x) = x^2

The above equation a parent equation of a quadratic equation

Using the graph as a guide, we can see that

The function f(x) is translated to the right by 2 units to get g(x)

This means that

g(x) = f(x - 2)

So, we have

g(x) = (x - 2)^2

Hence, the equation of g(x) is g(x) = (x - 2)^2

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Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled. Speed is inversely correlated with time and directly correlated with distance.

What are time, distance, and speed?

Speed tells us how swiftly or slowly an object is moving. While distance, as the name suggests, relates to the amount of space between two sites, time refers to the period of time separating two events. Speed is calculated as Distance x Time.

Time is calculated as Time = Distance Speed.

Distance is calculated as Distance = Speed x Time.

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Using factors, K has a value of -7.

A divisor of an integer n, also known as a factor of n, is an integer m that may be multiplied by another integer to create n. In this case, it is also possible to assert that n is a multiple of m.

Given,

f(x) = 3x³ + kx- 10

Given factor of the equation is (x - 2)

Let us assume:

x - 2 = 0

x = 2

Since, x-2 is a factor of f(x)

∴ By factor theorem

f(2) = 0

3(2)³ + k(2) - 10 = 0

3(8) + 2k - 10 = 0

24 + 2k - 10 = 0

14 + 2k = 0

2k = -14

k = -14/2

k = -7

Hence, The value of k is -7

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Answer: d a c b

Step-by-step explanation: