Dominic needs a new bike mirror. His old mirror was a square with a side length of 9 cm. He wants the new mirror to have an area as close as possible to his old bike mirror.

slope = m = (8 - (-6)) / (8 - 6) = 7

y = mx + b

y = 2x + b

plug in (8, 8) to find b

8 = 2(8) + b

b = -8

y = 2x - 8

Answer:

2 -5

Step-by-step explanation:

The slope and y-intercept are 2 and -5 after comparing them with the standard equation.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The inequality is y > 2x-5

The above inequality represents the linear graph

After drawing on the graph:

On comparing:

y = mx + c

The slope m = 2

The y-intercept c = -5

Thus, the slope and y-intercept are 2 and -5 after comparing them with the standard equation.

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Answer:

3

Step-by-step explanation:

Unit conversion is a way of converting some common units into another without changing their real value. The number of pounds that Karen will get is £216.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The amount that is left with Karen = $750 - $(95×5)

                                                          = $750 - $475

                                                          = $275

Now, since the Bank would only accept her money to the nearest 10 USD. Therefore, the amount that the bank will accept is $270.

Further, the exchange rate is  £1 = $1.25, therefore, the number of pounds that Karen will get in the number of dollars is,

Number of Pounds = £275/1.25 = £216

Hence, the number of pounds that Karen will get is £216.

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In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

0.9478 mpg.

And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

According to the statement

we have given that the relationship between the number of miles per gallon on the highway in the graphical representation and that in the city for some cars.

And we have to give some reasons for the given statements.

So, For this purpose, we know that the

A. In this statement we have to tell that the what is shown in the given relationship in the graph.

So, For each additional city mpg, the highway value goes up by

0.9478 mpg.

And the second statement is

B. I this we have to tell the intercept of the plane in the given Relationship.

So, It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

So, In this relationship between the number of miles per gallon on the highway and that in the city for some cars are:

For each additional city mpg, the highway value goes up by

0.9478 mpg.

And It is inappropriate to interpret the intercept because no cars get 0 mpg in the city.

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Disclaimer: This question was incomplete. Pleas find the full content below.

Question:

The figure shows the relationship between the number of miles per gallon on the highway and that in the city for some cars.

a. Report the slope and explain what it means.

b. Either interpret the intercept​ (7.792) or explain why it is not appropriate to interpret the intercept.

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For a standardized normal distribution, Z, the probability that Z is greater than 1.50 is less than the probability that Z is greater than 2.50 is False.

For a standardized normal distribution, the probabilities are symmetric around the mean of zero. The probability that Z is greater than a positive value, such as 1.50, is less than the probability that Z is greater than a larger positive value, such as 2.50.

In other words, the probability of being in the right tail of the distribution decreases as we move further away from the mean. Therefore, the probability that Z is greater than 1.50 is greater than the probability that Z is greater than 2.50.

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The completely factorised form of the expression given in the task content as given is; (3x +6) (x+b).

In order words, when the above given polynomial expression is being factorized, it gives (3x +6) (x+b) as its complete factorized form.

It follows from the task content that the expression which is required to be factorized completely is given below as;

3x² + 3bx + 6a + 6b

So therefore, the mathematics expression can be factored completely as follows step by step:

(3x² + 3bx) + (6x + 6b)

3x(x + b) + 6(x+b)

Ultimately, the completely factorized form of the mathematical expression as indicated in the given expression above is therefore represented as thus;

(3x +6) (x+b)

Therefore, The completely factorised form of the expression given in the task content as given is; (3x +6) (x+b).

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Answer:

3(x – 2)(x + b)

Step-by-step explanation:

I got it right on the test.

Answer:

x = 1.6  rads

Step-by-step explanation:

                                  In radian format:

Length of arc =  \(x r\) ..........where x is the angle and r is radius.

Here the length of arc is 14 inches and radius given 9 inches

  using the formula:

Answer:

90 degrees counterclockwise

Step-by-step explanation:

Answer:

jfmfmhhcmcmfnf. cbimvncnvnj

Step-by-step explanation:

3/5 - 1/3 = 4 /15

5/6 - 2/3 = 5/6 - 4/6 = 1/6

7/9 - 2/3 = 7/9 - 6/9 = 1/9

5/8 - 1/6 = (15 - 4) /24 = 11/24

(All the above ones I have taken common factor and subtracted them)

5 x 9/10 = 45/10 = 9/2 (simplified)

2/7 x 3 = 6/7

3 x 2/15 = 6/15

4x 2/6 = 8/6 = 4/3 (simplified form)

Hope this helps!!!

In a standard additions method workup the information from the linear regression that is most closely related to the unknown concentration is this:  the intercept of the linear regression line.

In the standard additions method workup, the information that is most closely related to the unknown concentration is the intercept of the linear regression line.

The reason why this is the case is that the intercept represents the y-value of the regression line where the line crosses the y-axis. This y-axis is the value of the dependent variable when the independent variable or concentration is zero. So, by solving for the intercept, we can determine the concentration of the unknown sample.

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The principal with the given simple interest, rate of interest and time period is $4550.

Given that, interest = $637, rate of interest = 7% and time period = 2 years.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

We know that, simple interest = (P×R×T)/100

Put simple interest = $637, R=7% and T=2 years, we get

637 = (P × 7 × 2)/100

⇒ 14P=63700

⇒ P=63700/14

⇒ P= $4550

Therefore, the principal with the given simple interest, rate of interest and time period is $4550.

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1. Independent random samples arise when one random sample is split into groups differing by an observed feature is incorrect.

2. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

1. Independent random samples arise when individuals in a sample are randomly assigned to experimental groups, data is recorded repeatedly on a random sample of individuals, or random samples are selected separately. The statement that one random sample is split into groups differing by an observed feature does not accurately describe independent random samples.

2. The margin of error in a confidence interval represents the range of values within which the true population parameter is likely to fall. It is calculated by taking half of the width of the confidence interval. Therefore, the correct answer is that the margin of error is equal to half the width of the confidence interval.

In summary, the incorrect statement is that independent random samples arise when one random sample is split into groups differing by an observed feature. The margin of error of a confidence interval about the difference between the means of two populations is equal to half the width of the confidence interval.

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Answer:

transformation

Step-by-step explanation:

this is when one form of energy forms into another form, and it can be transferred into a new object or location

Answer:

195

Step-by-step explanation:

Since: d / 13 = 15, we need to do the inverse which is multiplication:

15 x 13 = 195

By using the concept of Permutation and Combination, Counting Principle  Phyllis can make 168 ways to select students.

Permutation and Combination are about making arrangements and making selections on the basis of certain formulas

The re-arranging of any given sorted/ordered set is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.

Selecting items from a large collection without taking any care about their order is called combinations.

We need to select one freshman out of 12 freshmen. So selecting r things from n things we can do selection in nr ways, so we can do a selection of freshmen in 12c1 ways

Similarly, we need to select one sophomore out of 14 sophomores, so we can do a selection of sophomores in 14c1 ways

We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)

So, using this concept total number of ways to select a student

= ((12c1)×(14c1))

=12×14

=168 ways

Hence Phyllis can select students in 168 ways

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The conversion 336g to m³ is impossible because they measure different units

From the question, we have the following parameters that can be used in our computation:

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

Using the above as a guide, we have the following:

336g to m³  cannot be done because of the different quantities they represent

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Answer:

240mi

Step-by-step explanation:

1080 - 360 = 720

720 / 3 = 240

240 day 1 + 360 day 2 + 720 day 3 = 1080 total

Step-by-step explanation:

hope it helps u...........

Answer:

4566

Step-by-step explanation:

you you get that answer by learning and trying your best like me by

Answer:

y=5

Step-by-step explanation:

First, distribute the 2 to the 3y and -7

6y - 14 = 16

Second, add 14 to both sides.

6y = 30

Third, divide both sides by 6

y = 5

As you can see y equals 5!

I hope the explanation helped and have a great day!

Answer:

y = 5

Step-by-step explanation:

2(3y - 7) = 16

distributive property:

2(3y - 7) = 16

6y - 14 = 16

add 14 on both sides

6y - 14 + 14 = 16 + 14

6y = 30

divide both sides by 6 :

\(\frac{6y}{6} = \frac{30}{6}\)

y = 5

to check, subtitute 5 for y

2 (3(5) - 7) = 16

2(18 - 7) = 16

30 - 14 = 16

16 = 16

Given:-

To find the value of x.

Since the corresponding opposite angles are equal and also the sum of angles inside a triangle is 180 degrees. we get,

So the required value of x is 5.

Answer:

Step-by-step explanation:

Question (1)

From the table showing arithmetic sequence,

First term of the sequence = 18

5th term of the sequence = -10

Explicit formula of an arithmetic sequence,

\(T_{n}=a+(n-1)d\)

For 5th term,

-10 = 18 + (5 -1)d

-10 = 18 + 4d

4d = -28

d = -7

Therefore, explicit formula for the table will be,

\(T_n\) = 18 + (n - 1)(-7)

    = 18 - 7n + 7

    = 25 - 7n

\(T_n=25-7n\)

Recursive formula → \(T_n=T_{n-1}+d\)

                                 \(T_n=T_{n-1}-7\)

Question (2),

From the table attached,

First term of the geometric sequence = 6

5th term = 96

Recursive formula of a geometric sequence = \(a(r)^{n-1}\)

Here a = first term

r = common ratio

For 5th term from the table,

96 = \(6(r)^{5-1}\)

r⁴ = 16

r = \(\sqrt[4]{16}\)

r = 2

Therefore, explicit formula will be,

\(T_n=6(2)^{n-1}\)

Recursive formula will be,

\(T_n=T_{n-1}\times (r)\)

\(T_n=2\times T_{n-1}\)

The complete question is

"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°, 17.5°, 72.5°,73.3°"

The value of angle x would be 16.7 degrees.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

The angle of a right angle is always 90 degrees.

In order to find the value of x, a tan would be used.

This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.

Tan Ф = opposite / adjacent

Tan Ф =  (3/10)

= 16.7 degrees

The value of angle x would be 16.7 degrees.

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Answer: the answer is 16.7°.

Step-by-step explanation: it show below.

Answer:

135°

Step-by-step explanation:

Interior angle= (n-2)/n ×180°

n= no. of sides

so,

putting the value of n which is 8

(8-6)/8 × 180

=135°

The measure of each interior angle of the sign is 135 degrees.

The correct option is D.

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

In a regular octagon, all the interior angles are equal.

The formula to find the measure of each interior angle of a regular polygon with n sides is:

measure of each interior angle = (n-2) x 180 / n

For an octagon, n = 8, so we can substitute this value into the formula and simplify:

measure of each interior angle = (8-2) x 180 / 8

measure of each interior angle = 6 x 180 / 8

the measure of each interior angle = 135 degrees

Therefore, the measure of each interior angle = 135 degrees.

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Answer:

45$

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

$1,200 x 0.03% = $36 yearly

$36/12 = $3 per month

$3 x 15 months = $45

Answer:

Step-by-step explanation:

We know that:

To find the perimeter, we need to use the equation "Perimeter of a rectangle = Sum of all its sides".

Solution:

Hence, the perimeter of the rectangle is 8x² + 8x - 2.

Answer:

hey we can only see 13 and for 13 is X = 57.36

Step-by-step explanation:

since we have opposite and the hypotenuse we use sin...

sin(theta) = opp/hyp

sin(38) = 17/x

and we multiple x to both sides which leaves us with

x * sin(38) = 17

and then divide sin(38) so x can be by it- self which gives us

x = 17/sin(38

X = 57.36

i also need the ans TT.............

The first five terms of the given sequence, starting with \(a_1 = 42\) and following the recursive rule \(a_n = a_n - 1 - 7\), are 42, 35, 28, 21, and 14.

To find the subsequent terms of the sequence, we apply the recursive rule. Given that \(a_1 = 42\), we can calculate \(a_2\) as follows:

\(a_2 = a_1 - 7= 42 - 7= 35\)

Continuing this pattern, we can calculate the next terms:

\(a_3 = a_2 - 7= 35 - 7= 28\)

\(a_4 = a_3 - 7= 28 - 7= 21\)

\(a_5 = a_4 - 7= 21 - 7= 14\)

Hence, the first five terms of the sequence are 42, 35, 28, 21, and 14.

The sequence follows a pattern of subtracting 7 from the previous term to obtain the next term. Each term decreases by 7 compared to its preceding term.

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Answer:

Right Angle- an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.

Straight Angle-A straight angle is 180 degrees. This is a straight angle.

Step-by-step explanation:

180 is a straight angle and 90 is a Right angle