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The perimeter with the border = 7 feet

The length of the painting with the border, L = 3 in + 1.5 ft + 3 in

1 inch = 1/12 ft

3 in = 3/12 ft = 0.25 ft

L = 0.25 ft + 1.5 ft + 0.25 ft

L = 2 ft

The width of the painting with the border, W = 3 in + 1 ft + 3 in

W = 0.25 ft + 1 ft + 0.25 ft

W = 1.5 ft

The painting (with the border is rectangular in shape)

The perimeter, P = 2(L + W)

P = 2(2 + 1.5)

P = 2(3.5)

P = 7 ft

The perimeter with the border = 7 feet

Answer:

There are 336 ways to have 8 horses place for 1st, 2nd, and 3rd place

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

They should use 6 cup of Noah's measuring cup

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the number of cup the should use:

Number of cup = Recipe call / Noah's cup

Number of cup = (3/4) / (1/8)

Number of cup = 3*8 / 4*1

Number of cup = 24/4

Number of cup = 6

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Correctly written question:

Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?

The number of hours to work to pay for the new computer is 111 hours

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The cost difference between the new and refurbished computer is $800.00 - $640.00 = $160.00. This means that you would save $160.00 by buying the refurbished computer instead of the new one.

Let's say you work for "x" hours, then your gross pay will be:

A = 10x dollars

Your FICA deduction will be 7.65% of your gross pay:

0.0765 ( 10x ) = 0.765x dollars

Your federal tax withholding will be 12% of your gross pay:

0.12 ( 10x ) = 1.2x dollars

Your state tax withholding will be 8% of your gross pay:

0.08 ( 10x ) = 0.8x dollars

The total amount of taxes that will be deducted from your paycheck is the sum of these three amounts:

0.765x + 1.2x + 0.8x = 2.765x dollars

So your net pay will be:

10x - 2.765x = 7.235x dollars

On simplifying the equation , we get

Now, we can calculate the number of hours you would need to work to pay for the new computer:

800 = 7.235x

x ≈ 110.5 hours

Hence , the number of hours is x = 111 hours

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Answer:

5

Step-by-step explanation:

standard error of mean = s/√n,

where s is the standard deviation and n is the sample size.

s/√n = 15/√9

= 15/3

= 5

An indication of the inequality negative 2 over 3 > −1 about the positions of negative 2 over 3 and −1 on the number line is that: A. negative 2 over 3 is located to the right of −1.

A number line can be defined as a type of graph that is designed and developed with a graduated straight line containing both positive and negative numbers (numerical values), that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used for the comparison of two or more numbers such as -2/3 and -1. Also, a number line typically decreases in numerical value towards the left and increases in numerical value towards the right.

Note: negative 2 over 3 = -2/3.

By comparison, we have:

-2/3 > -1

In conclusion, the above inequality simply means that -2/3 is greater than -1 and it would be located to the left of 0 and right of -1 on a number line as shown in the image attached below.

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On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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Answer:

c = 69 and h = 51

Step-by-step explanation:

You will need two different equations here

use variable c as coffee and variable h as hot chocolate

c + h = 120

1.80c + 3.15h = 284.40

By moving variables, you can alter the first equation

h = 120 - c

Now insert this into the second equation

1.80c + 3.15(120 - c) = 284.40

Multiply

1.80c + 378 - 3.15c = 284.40

Subtract the c

-1.35c + 378 = 284.40

Subtract 378 from both sides

-1.35c = -93.6

Divide both sides by -1.35

c = 69

Then plug into the first equation

69 + h = 120

Subtract 69

h = 51

Given:

divide 78.432 by 2.4

1. fraction:

2. whole number divisor

3. Division algorithm

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

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We have the next information

48000 represent the 100%

8640 represent the ?

ANSWER

8640 represent the 18%

Answer:

\(\angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Step-by-step explanation:

\(\frac{\sin(\angle BAC)}{13}=\frac{\sin 23^{\circ}}{6} \\ \\ \sin \angle BAC=\frac{13\sin 23^{\circ}}{6} \\ \\ \angle BAC=180^{\circ}-\frac{13\sin 23^{\circ}}{6}\)

Answer:

B,A,C

Step-by-step explanation:

The smallest angle is found in front of smallest side therefore the smallest angle is B since the smallest side is AC.Hope you understand

Answer:

-10

Step-by-step explanation:

-8 + n/2 = -13

n/2 = -13 + 8

n/2 = -5

n = -5 * 2

n = -10

Hope it helps!

The given differential equation is y" - 4y + 7y = 0. To find the general solution, we can assume that y(t) can be expressed as y(t) = e^(rt), where r is a constant.
To find the value of r, we substitute y(t) = e^(rt) into the differential equation:
y" - 4y + 7y = 0
(r^2 - 4 + 7)e^(rt) = 0

For the equation to hold true for all values of t, the expression in the brackets should be equal to zero. Therefore, we have:
r^2 - 4r + 7 = 0

Using the quadratic formula, we can solve for r:
r = (4 ± √(4^2 - 4(1)(7))) / (2)
r = (4 ± √(16 - 28)) / 2
r = (4 ± √(-12)) / 2

Since the discriminant is negative, there are no real solutions for r. Instead, we have complex solutions:
r = (4 ± i√(12)) / 2
r = 2 ± i√(3)

The general solution is then given by:
y(t) = c1 * e^((2 + i√(3))t) + c2 * e^((2 - i√(3))t)
where c1 and c2 are arbitrary constants.

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The theory that supports the idea that stereotypes are ubiquitous and racism is an everyday experience for people of color is B. Critical race theory.

This theory examines how social, cultural, and legal norms perpetuate racism and how it is embedded in everyday life. It argues that racism is not just an individual belief or action, but a structural and systemic problem that affects all aspects of society.

Therefore, stereotypes and racism are not isolated incidents but are pervasive and constantly reinforced by societal structures and norms.

Therefore, the correct option is B. Critical race theory.

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The correct answer is 32.

In an integer optimization problem with binary variables, each variable can take one of two possible values: 0 or 1. Therefore, for 5 binary variables, each variable can be assigned either 0 or 1, resulting in 2 possible choices for each variable. The maximum number of potential solutions in an integer optimization problem with 5 binary variables is 32 because each binary variable can take on 2 possible values (0 or 1)

In this case, we have 5 binary variables, so the maximum number of potential solutions is given by 2 * 2 * 2 * 2 * 2, which simplifies to 2^5. Calculating 2^5, we find that the maximum number of potential solutions is 32.

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Answer:

D

Step-by-step explanation:

you must solve first

18x < 45

x < 2.5

the number line will have an arrow with an open circle since it does not include 2.5. the line will head towards 0 and negatives since it's less than 2.5 so your answer is D

Answer:

0.42846931021

Step-by-step explanation:

The intensity of earthquake shaking at any location is determined by the magnitude of the earthquake and its distance.

The most noticeable result of the earthquake is, first and foremost, the shaking of the ground. Along with shaking, earth rupture also happens. Infrastructure facilities suffer serious damage as a result of this. The size and distance from the epicentre of the earthquake affect how severe it is.

The local geographic circumstances have an impact on the severity as well. The visible cracking of the Earth's surface is referred to as ground rupture. Earthquake has killed more humans in past 100 years.

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Answer:

Step-by-step explanation:

Okay firstly the question asks what is the mean, median, mode and range of each set.

For median: we must arrange the numbers in order from least to greatest and then identify the middle number.

17,18,18,19,21,22,46 (the arrangement)

19 is the middle number, therefore it is the median

Now secondly to find the mean, we must add all numbers together and divide them by 7 (because there are 7 numbers)

17+18+18+19+21+22+46 = 161
161 / 7 = 23

23 is the mean

Please someone else help with mode and range i kinda forgot lol

The length of the second lawn that Sid mows is 60 feet. We simply calculated the area of lawn here.

The area of the first lawn is given by:

A1 = 60 x 50 = 3000 square feet

Let L2 be the length of the second lawn. Since the width of the second lawn is the same as the first lawn, the area of the second lawn can be expressed as:

A2 = L2 x 150

Since the area of the second lawn is 3 times as big as the first lawn, we have:

A2 = 3A1

Substituting A1 and simplifying, we get:

L2 x 150 = 3 x 3000

L2 x 150 = 9000

L2 = 60 feet

Therefore, the length of the second lawn is 60 feet.

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Answer:

x = -1

Step-by-step explanation:

Distribute by multiplying -5x by 2 and 4 by 2, leaving you with -10x+8+4-5=-3, then solve leaving you with x = -1.

Answer:

60%

Step-by-step explanation:

yes

Multiplication and division have the same precedence as a division can be written as a multiplication, that is, a division by x is equivalent to a multiplication by 1/x.

The precedence of operations is defined by the PEMDAS acronym, with a highest to lowest order of precedence, as follows:

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The distance that the plane will descend on the ground is given as follows:

5,196 feet.

The three trigonometric ratios are defined as follows:

The parameters for this problem are given as follows:

Hence the distance is obtained as follows:

tan(150º) = -3000/d

d = -3000/tangent of 150 degrees

d = 5,196 feet.

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