The graph of g(x), shown below in red, has the same shape as the graph of
f(x) = 2x, shown in blue. Which of the following is the equation for g(x)?
A. g(x) = 2x + 3
B. g(x) = 5x
OC. g(x) = x+5
D. g(x) = 2x - 3

72 millimeters is equal to 2.83 inches.

Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.

Here's how you convert 72 millimeters to inches:

1 inch = 25.4 millimeters

So, to convert 72 millimeters to inches, we divide by the conversion factor:

72 mm / 25.4 mm/in = 2.83 in

to know more about mm to inches refer here

https://brainly.com/question/30234853#

#SPJ11

Answer:

1/92^7

this is correct answer of this question

hope it helps

Answer:

6

Step-by-step explanation:

11x13=143

5x13 = 65

143 - 65 = 78

78/13= 6

Answer:

:Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded

Step-by-step explanation:

Answer:  Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y=k.x

Where k is the constant of proportionality.

The y-intercept can be obtained by setting x=0. Note the y-intercept of every proportional relationship is y=0.

Answer:

3

Step-by-step explanation:

(2x-3)^2=9

(2x-3)^2=3^ 2

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Answer:

\(x(4x-12)=0\)

Step-by-step explanation:

\((2x-3)^2=9\\(2x-3)(2x-3)=9\\4x^2-12x+9=9\\4x^2-12x=0\\x(4x-12)=0\)

Answer:

y = mx + b

m = (-7 - -5) / (5 - 4) = -2

y = -2x + b

Use either point to find b

Using (4, -5):

-5 = (-2)(4) + b

-5 = -8 + b

b = 3

y = -2x + 3

Step-by-step explanation:

The approximate area covered by the sprinkler is 200.96 square feet. A ≈ 201 square feet

The approximate area covered by the sprinkler installed by Jared, the landscaper, can be calculated using the formula for the area of a circle, which is A = πr² (where A is the area and r is the radius).

In this case, the radius of the sprinkler is 8 feet, so we can substitute that value into the formula:

A = π(8)²
A ≈ 201 square feet

Therefore, the approximate area covered by the sprinkler is approximately 201 square feet.
Hi! I'd be happy to help you with this question.

To find the approximate area covered by the sprinkler, we need to use the formula for the area of a circle, which is A = π * r^2, where A is the area and r is the radius.

Given that Jared, the landscaper, installs a sprinkler that sprays water in a circle with an 8-foot radius, we can plug in the value of r:

A = π * (8^2)

A = π * 64

Now, using the approximate value of π as 3.14:

A ≈ 3.14 * 64

A ≈ 200.96 square feet

So, the approximate area covered by the sprinkler is 200.96 square feet.

A ≈ 201 square feet

To know more about circle

https://brainly.com/question/24375372

#SPJ11

Answer:

The answer is 13.5

Step-by-step explanation:

The relative frequency is solved and the table of values is plotted

Given data ,

The lunch order is given by the 2 sets of dishes as

A = { Sandwich , Pastas }

Now , the sports activities are given by 2 sets as

B = { Volleyball , Swimming }

From the table of values , we get

The relative frequency is solved as

Relative Frequency = Subgroup frequency / Total frequency

The percentage of Swimming ( sandwich ) = 26/36

Swimming ( sandwich ) = 72 %

And , the percentage of Swimming ( pasta ) = 10/36

Swimming ( pasta ) = 28 %

Now , the percentage of total sandwich = 45/70 = 64 %

And , the percentage of total pasta = 25/70 = 36 %

Hence , the relative frequency is solved

To learn more about relative frequency click :

https://brainly.com/question/29739263

#SPJ1

Answer:

C. 0.002589 km

Step-by-step explanation:

2589/1,000,000

=0.002589

The price of the coat in the store is $81 after a retailer buys a coat bulk at a unit price of $45 the coat is marked up 80% to sell in the store.

The retailer buys the coat at a unit price of $45 and marks it up by 80%. To calculate the markup, we need to first find 80% of $45, which is

0.8 x $45 = $36.

We can then add the markup to the cost price to get the selling price:

$45 + $36 = $81.

Therefore, the price of the coat in the store is $81.

Learn more about Cost and Price:

https://brainly.com/question/19104371

#SPJ4

Answer:

A. .88 < 1, so the price of Fuel A is decreasing by 12% per month.

B. Fuel B, from months 1 to 4:

\( \frac{3.04 - 3.44}{3.44} (100\%) = - 11.63\%\)

Over this four-month period, Fuel B's price has decreased by about 11.63%.

\( \sqrt[3]{1 - .1163} = \sqrt[3]{.8837} = .9596\)

\(1 - .9596 = .0404 = 4.04\%\)

So Fuel B's price has been decreasing by an average of about 4.04% per month. Fuel A recorded the higher percentage change in price per month.

The net income for Griffin's Goat Farm, Inc., was \(\$184,340\).

The operating cash flow (OCF) for Kerber's Tennis Shop, we can use the following formula:

\(OCF = EBIT + Depreciation - Taxes + \triangle Working Capital\)

where EBIT is earnings before interest and taxes.

Calculate EBIT by subtracting interest expense from operating income:

EBIT = Operating Income - Interest Expense

We do not have the information for operating income, but we can use the fact that interest expense was. \(\$165,000\) to calculate EBIT.

EBIT = Interest Expense / (1 - Tax Rate)

= \(\$165,000 / (1 - 0)\)

= \(\$165,000\)

Calculate the change in working capital (Δ Working Capital). We are told that the company reduced its net working capital investment by \(\$69,000\), which means that working capital increased by  \(\$69,000\).

Therefore:

\(\triangle Working Capital = \$69,000\)

Now, we can calculate OCF:

OCF = EBIT + Depreciation - Taxes + Δ Working Capital

=\(\$165,000 + 0 - 0 +\ $69,000\)

=\(\$234,000\)

Therefore, the firm’s 2018 operating cash flow (OCF) was \(\$234,000\) .

To calculate the net income for Griffin's Goat Farm, we can use the following formula:

Net Income = EBIT - Interest Expense - Taxes

where EBIT is earnings before interest and taxes. We can calculate EBIT as:

EBIT = Sales - Costs - Depreciation

= \(\$686,000 - \$332,000 - \$65,000\)

=\(\$289,000\)

Next, we need to calculate taxes. We are given a tax rate of 24%, so:

Taxes = Tax Rate x (EBIT - Depreciation)

= \(0.24 \times (\$289,000 - \$65,000)= \$56,160\)

Now, we can calculate net income:

Net Income = EBIT - Interest Expense - Taxes

= \(\$289,000 - \$48,500 - \$56,160= \$184,340\)

For similar questions on Income

https://brainly.com/question/30157678

#SPJ11

-4, -1/2, 3, 13/2, 10,… represents an arithmetic sequence.

An arithmetic sequence progresses with a common difference which is the difference of consecutive terms.

So for each of the number sequences, we will try to check if the consecutive terms has a common difference.

A) 32, 16, 8, 4, 2,...

16-32 = -16

8-16 = -8

4-8 = -4

2-4 = -2

As the differences of consecutive terms are not same, this sequence is not an arithmetic sequence.

B)5, 10, 20, 40, 80,...

10-5 = 5

20-10 = 10

40-20 = 20

80-40 = 40

Here also the differences of consecutive terms are not same, this sequence is not an arithmetic sequence.

C) -4, -1/2, 3, 13/2, 10,…

-1/2- -4 = 7/2

3- -1/2 = 7/2

13/2-3 = 7/2

10-13/2 = 7/2

This sequence has a common difference and hence is an arithmetic sequence.

D) 4, 8/3, 16/9, 32/27, 64/81,…

8/3-4 = -4/3

16/9-8/3 = -8/9

32/27-16/9 = -16/27

64/81-32/27 = -32/81

Here also the differences of consecutive terms are not same, this sequence is not an arithmetic sequence.

Learn more about arithmetic sequence at https://brainly.com/question/24989563

#SPJ1

Answer:

d) 2p° and (p+15) ° are complementary angles.

2p° + p° + 15° = 90°

3p° = 90° - 15°

p° = 75°/3

p = 25°

Now, 2p° = 2×25° = 50°

(p+15)° = 25°+15° = 40°

e) x° and x°÷4 are supplementary angles.

x° + x°÷4 = 180°

4x + x = 180°×4

5x = 180°×4

x = 180°×4/5

x° = 36° × 4 = 144°

And x°÷4 = 144/4 = 36°

f) Complementary angles in the ratio 4:11

Let the angles be 4x and 11x .

4x + 11x = 90°

15x = 90°

x = 6°

Now, 4x = 4×6 = 24°

11x = 11×6 = 66°

g) Supplementary angles in the ratio 7:5.

Let the angles be 7x and 5x.

7x + 5x = 180°

12x = 180°

x = 180°/12

x = 15°

Hence, 7x = 7×15 = 105°

5x = 5×15 = 75°.

Given:-

To find the resultant value of the sum of the equation.

Answer:

nx∧(-3)

Step-by-step explanation:

Since it contains one term with the variable

Answer:

How much will the handmade scarves and jewellery cost?

How much are they planning to spend on operating costs for their business every year?

Step-by-step explanation:

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

For more questions on Mean .

https://brainly.com/question/29368683

#SPJ8

The sample mean exceeding $37,000 has a 45.5% chance of occurring.

The number of possible outcomes is divided by the total number of possible outcomes to determine probability. Odds are not the same as probability. Odds are calculated by dividing the chance of a given event by the probability that it won't.

We can estimate this binomial problem with a normal distribution as the sample size is bigger than 10, which is sufficient.

Determine the z-score first:

z = (x - μ) / σ = (37000 - 36000) / 9000 =0.111

The likelihood P(x > 37000$) = P(x 37000$) 1,

Consequently, in order to find out, we must consult a normal distribution table.

P(z < 0.111) = 0.5441

And

P(x > 37000$) = 1 - 0.5441 = 0.4559

There is therefore a 45.5% chance that the sample  $37,000 is the mean.

To know more about probability visit :-https://brainly.com/question/11234923

#SPJ4

The critical z-value using a z-table or calculator:

Critical z-value = ±2.576.

What is null hypothesis's?

A null hypothesis is a statement or assumption that there is no significant difference or relationship between two or more variables or groups. In statistical hypothesis testing, the null hypothesis is usually denoted as H0 and is tested against an alternative hypothesis (Ha), which is the hypothesis that there is a significant difference or relationship between the variables or groups being studied.

According to the question:
(a) The null hypothesis is that there is no significant difference in the average amount of money spent per day between the two groups. The alternative hypothesis is that there is a significant difference in the average amount of money spent per day between the two groups.

Since we are not given any information about the direction of the difference, we will use a two-tailed test. The appropriate test to use in this situation is the two-sample t-test.

(b) To find the critical z-value, we first need to calculate the degrees of freedom for the test:

df = (n1 + n2 - 2) = (25 + 27 - 2) = 50

Using a significance level of 0.01, we find the critical z-value using a z-table or calculator:

Critical z-value = ±2.576

(c) To find the test value, we will first calculate the pooled standard deviation using the formula:

\(sp = \sqrt{((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2)}\)

where s1 and s2 are the sample standard deviations and n1 and n2 are the sample sizes. Substituting the given values, we get:

\(sp = \sqrt{((24 * 5.3^2) + (26 * 6.8^2)) / 50} = 6.083\)

Next, we calculate the t-value using the formula:

\(t = (x1 - x2) / (sp * \sqrt{1/n1 + 1/n2})\)

where x1 and x2 are the sample means. Substituting the given values, we get:

\(t = (38.6 - 37.4) / (6.083 * \sqrt{1/25 + 1/27}) = 1.213\)

Since the absolute value of the test value is less than the critical z-value, we fail to reject the null hypothesis. Therefore, we cannot conclude that there is a significant difference in the average amount of money spent per day between the two groups.

To know more about null hypothesis's visit:
https://brainly.com/question/28920252
#SPJ1

Answer:

Connect the sides of the cards that are 7 in  long.

Step-by-step explanation:

Im working on this rn XD

Have a Nice day :)

Answer:

Heather

Step-by-step explanation:

If you use pythagorean theorm you can set up the equations for each girl.

For Heather, 12^2+5^2=13^2 and you determine if this is true. Each side equals 169 so therefore the equation is true.

Common difference

Equation

Option B

Answer:

\(\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}\)

Step-by-step explanation:

Given:

From inspection of the given terms, it is evident that there is a common difference between consecutive terms.  Therefore, this is an arithmetic sequence.

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence provided you know the value of the previous term in the sequence.

From inspection of the sequence, we can see that each term is found by adding 4 to the previous term.  Therefore, the recursive formula is:

\(\sf a_n=a_{n-1}+4\)

A recursive rule comprises the recursive formula together with the 1st term a₁.  To find the 1st term, keep subtracting 4 from each term:

\(\begin{aligned} \sf a_3 & = \sf a_4 - 4\\ & = \sf 6 - 4\\ & = \sf 2\end{aligned}\)

\(\begin{aligned} \sf a_2 & = \sf a_3 - 4\\ & = \sf 2-4 \\ & = \sf -2\end{aligned}\)

\(\begin{aligned} \sf a_1 & = \sf a_2 - 4\\ & = \sf -2-4 \\ & = \sf -6\end{aligned}\)

Therefore, the recursive rule that can be used to find the nth term of the sequence is:

\(\begin{cases} \sf a_1=-6 \\ \sf a_n=a_{n-1}+4 \end{cases}\)

Learn more about arithmetic sequences here:

https://brainly.com/question/28010120

https://brainly.com/question/27924553

(p+s)*3

(6.50+4.00)*3= 31.5 dollars

1) so if they spent p and s for each person then you need to times it by 3 bc there were 3 people

eg: if popcorn was 1 dollar and a drink was 2 dollars then 1 +2 dollars= 3 and thats how much one person spent but because there are three ppl, we times by 3 to get 9 dollrs use the same method for questions number 1

2) and q2 is the same kinda strategy as i explained so, 6.50+4.00= 10.5 and bc there are 3 ppl then times by 3= 31.50 dollars

make sure to add a zero at the end bc we are talking about money

Hope this helps!! x

Given:

yearly salary=28,800

Required:

To calculate adjusted monthly income

Explanation:

student loan

250 dollar

Answer:

15 percent

Step-by-step explanation:

just look up 180 plus each percentage