Please help me with my math question!!!!

Answer:

1. 20 boxes cost $36. The unit rate is 1:1.8 and when you multiply 1.8 by 5 you get 9. If you also multiply 1.8 by 20 you get 36.

2.He completes 12.5 pages in 200 minutes.

200 divided by 32

multiply that answer by 2

which is 12.5.

hope it helps!

Answer:

the first answer is $36 and I'm pretty sure the second one is 64 pages

Answer:

400.00

Step-by-step explanation:

Answer:

\(\mathrm{88 + v}\)

The ship is approximately 10.6 miles away from the port. The option is C: 21.4 miles.

To find the distance from the port, we need to find the magnitude and direction of the final displacement vector. The magnitude of the final displacement vector is the sum of the magnitudes of the two displacement vectors that make it up, which are 5 miles and 9 miles. To find the direction of the final displacement vector, we need to use vector addition.

The direction of the first displacement vector is due north, so we can represent it as a vector pointing straight up in a northward direction. The direction of the second displacement vector is 20° east of north, so we can represent it as a vector that points to the northeast. To find the final displacement vector, we add the two vectors.

This can be done graphically by drawing the vectors and finding the vector that connects the starting point to the end point.

The final displacement vector has a magnitude of the square root of (5² + 9²), which is approximately 10.6 miles. The direction of the final displacement vector is the angle that it makes with due north. To find this angle, we can use the arctangent function. The final answer is approximately 10.6 miles.

So the ship is approximately 10.6 miles away from the port. The answer is C: 21.4 miles.

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The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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A.) How many students participated in dance?

Based on the chart, 25% of the students participated in the dance. Let's determine the actual number out of 200 students:

Therefore, there are 50 Students that participated in the dance.

B.) How many more students participated in Dodgeball than in Basketball?

Therefore, there are 30 more students that participated in Dodgeball than in Basketball.

Statistical Process Control (SPC) is a methodology used in quality management to monitor and control processes. It involves the application of statistical techniques to measure.

Statistical Process Control (SPC) is a powerful tool used to monitor and control processes in various industries. It utilizes statistical techniques to analyze process data, identify trends, and make informed decisions to improve process performance.

The primary objective of SPC is to ensure that a process operates within its specified limits and meets the desired quality standards. SPC involves the collection.

Analysis of data over time to understand process behavior and make necessary adjustments to maintain control. By monitoring and controlling the process variation, SPC helps to reduce defects and improve overall quality.

The key components of SPC include:

1. Control Charts: Control charts are graphical tools used to plot process data over time. They provide a visual representation of process variation and help identify when a process is in or out of control.

Control charts have upper and lower control limits that define the acceptable range of variation. Any data points outside these limits indicate special causes of variation that require investigation and action.

2. Data Collection and Analysis: SPC requires the collection of accurate and representative data. Data is collected at regular intervals and analyzed using statistical techniques such as mean, range, standard deviation, and process capability analysis.

These analyses help understand process performance, identify trends, and evaluate the capability of the process to meet customer requirements.

3. Process Monitoring and Improvement: SPC enables real-time process monitoring and provides timely feedback on process performance. It helps identify and address issues before they lead to defects or non-conformances.

By detecting trends or shifts in process performance, SPC allows for proactive intervention to maintain control and prevent quality problems.

4. Continuous Improvement: SPC is a fundamental aspect of a continuous improvement culture. By regularly monitoring process data, analyzing performance, and making data-driven decisions, organizations can identify areas for improvement and implement targeted changes to enhance process efficiency and quality.

Statistical Process Control (SPC) is a systematic approach to monitor and control processes using statistical techniques. It helps organizations maintain control, reduce defects, and improve overall quality by analyzing process data, identifying sources of variation, and making data-driven decisions.

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The solution to the provided expression using the difference of square formula of algebra is a=1.

The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,

a^2-b^2=(a+b)(a-b)

The given expression in the problem is,

\(15(2a - 2) = 5(a^2 -1)\)

From the property of difference of square, the above equation can be written as,

\(15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)]\)

Divide both side of the equation with (a-1) as,

\(5\times2 = 5(a +1)\)

Divide both side of the equation with number 5 as,

\(2 = (a +1)\\a=2-1\\a=1\)

Hence, the solution to the provided expression using the difference of square method of algebra is a=1.

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The solutions to 15(2a – 2) = 5(a2 – 1) are:

a = 1, a = –1

a = 5, a = –1

a = 5, a = 1

Answer:

C. a = 5, a = 1

Step-by-step explanation:

Answer:

Everything is in the picture above

Step-by-step explanation:

Hope it helps

The value of m that completes the given equation is 49/4

Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.

Given the following equation

x^2 + 7x + m = 31 + m

Complete the square

x^2 + 7x + (7/2)^2 = 31 + (7/2)^2

Simplify to give;

x^2 + 7x + 49/4 = 31 + 49/4

Comparing with the original equation we will see that m = 49/4.

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The slope of the line will be 1/2 in the given graph.

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The graph is given in the question.

According to the given graph, we can take two points (2, 2) and (6, 4).

The line passes through points (2, 2) and (6, 4).

Let

x₁ = 2, y₁ = 2

x₂ = 6, y₂ = 4

∵ Slope m = (y₂ - y₁)/(x₂ -x₁  )

Substitute values in the formula

The slope of line = (4 - 2)/(6-2)

The slope of line = (2)/(4)

The slope of line = 1/2

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When we simplify ∛6x⁸ and  ∛7x⁷ by multiplying them, we will have ∛42(x⁵)

Simplifying an algebraic expression, also called simplifying a variable expression, means writing the expression in the most basic way possible by eliminating parentheses and combining like terms

In the question given, the variables are ∛7x⁷ and ∛6x⁸, this can be;

When we simplify or find the product of  ∛7x⁷  and ∛6x⁸, we will have

∛6x⁸ × ∛7x⁷ = ∛42(x⁵)

The is easily possible because we have both complex variables with the same root.

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(I copied this from another answer, but hope it helps!)

Answer:

39/100

Step-by-step explanation:

Multiply 1 by -2/3 which would be w + 2/3 then subtract from both sides of the equation w + 2/3 - 2/3 = 1.06 - 2/3

then simplify down to 0.39 which would be 39/100 in simplest form.

Answer:

39/100

Step-by-step explanation:

Let’s solve your equation step by step:

W-(-2/3)=1.06

Step 1 : Simplify both sides of the equation.

w+2/3=1.06

Step 2: Subtract 2/3 from both sides.

w+2/3-2/3 =1.06-2/3

W=0.393333

But in fraction form it’s 39/100

hope this helps

The sequence 200, 40, 8, ... is a geometric sequence. Let's define the geometric sequence before we explain why the above sequence is geometric. In a geometric sequence, each term is multiplied by the same common ratio to obtain the next term.

A geometric sequence can be represented by the formula a, ar, ar^2, ar^3, ... , where a is the first term, r is the common ratio, and ar, ar^2, ar^3, ... are the successive terms. The common ratio can be calculated using any two consecutive terms in the sequence.To determine if a sequence is geometric or not, we need to check whether the ratio of successive terms is the same. In the given sequence, 200 is the first term, 40 is the second term, and 8 is the third term.

So, the common ratio is =0.2Similarly, the ratio between 40 and 8 is Therefore, the ratio of successive terms is 0.2, which is constant. Hence, the given sequence is a geometric sequence.

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To determine the monthly digital song downloads "m" months after January, an equation can be used.quation is given by: D = 520,000 * (1 + 0.0225)^m, where D represents the number of digital song downloads.

To calculate the monthly digital song downloads "m" months after January, we need to consider the initial number of downloads in January and the rate of increase per month. The rate of increase is 2.25% or 0.0225 as a decimal.

Using the formula for compound interest, we can express the equation as: D = 520,000 * (1 + 0.0225)^m. Here, 520,000 represents the initial number of digital song downloads in January, (1 + 0.0225) represents the growth factor per month, and "^m" indicates the number of months we want to calculate after January.

By substituting different values for "m," we can determine the number of monthly digital song downloads for any given month after January.

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Step-by-step explanation:

the answer is in the above image

the answer is A. fordowne

fordowne is the least expensive brand to buy because it is 31.25 and the rest of the deals all come to a cost of 33 dollars.

2 dollars off when three 2 liter bottles are purchased. - fordowne.

2.75x3 is 8.25 - 2 is 6.25

6.25 for 6 liters

6 times 5 is 30

so 6.25 times 5 is 31.25

the lowest deal

if you want any other explanations i'll be happy to give them to you

Answer:

It 148.22

Step-by-step explanation:

Trust me boi and good luck!

Answer:

18/x + 3

Step-by-step explanation:

This can be written algebraically as 18/x +3. This question is a little unclear, but I think it’s asking to write it as an equation

Answer:

160 pounds of algae

Step-by-step explanation:

10 times 2 is 20   ( first 5 hours )

20 times 2 is 40  (10 hours)

40 times 2 is 80 (15 hours)

80 times 2 is 160 ( 20 hours)

there would be 160 pounds of algae

Each statement about integer is:

Statement A: If positive is subtracted from a negative integer, the difference is negative integer.

This statement is sometimes true.

If a positive integer is subtracted from a negative integer, the difference can be a negative integer or a positive integer. For example, if -5 is subtracted from -3, the difference is -8, which is a negative integer. However, if -3 is subtracted from -5, the difference is 2, which is a positive integer. The difference sign depends on which value is the bigger one.

Statement B: If a positive integer is subtracted from a positive integer, the difference is a positive integer.

This statement is sometimes true.

If a positive integer is subtracted from a positive integer, the difference can be a positive integer or a negative integer. For example, if 3 is subtracted from 5, the difference is 2, which is a positive integer. However, if 5 is subtracted from 3, the difference is -2, which is a negative integer.

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a) Sample distribution follows normal distribution with mean( μ) = 1.10 kg,

and standard deviation σ = 0.081

b) Sample distribution follows normal distribution with mean( μ)  = 1.10 kg,

and standard deviation σ = 0.04

d) The percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 79.77%.

e) The percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 99.3%.

2) 68.26% of men in country A have brain weights between 1.48 kg and 1.72 kg.

Solution:

Population standard deviation is the measure of how spread out the population data is. It measures the difference of the individual items from the mean. A standard deviation is a statistic that measures the dispersion of a dataset relative to its mean. It is calculated as the square root of variance by determining the variation between each data point relative to the mean.

1)

Given mean = 1.10 kg, standard deviation = 0.14 kg

a) To find the sampling distribution of the sample mean for samples of size 3.

Standard error of mean = σ/√n

= 0.14/√3

=0.081

Sample distribution follows normal distribution with mean( μ) = 1.10 kg,

and standard deviation σ = 0.081

b) To find the sampling distribution of the sample mean for samples of size 12.

Standard error of mean = σ/√n

= 0.14/√12

= 0.04

Sample distribution follows normal distribution with mean( μ)  = 1.10 kg,

and

standard deviation σ = 0.04

d) Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.

Sample distribution follows normal distribution with mean( μ)  = 1.10 kg,

and

standard deviation σ = 0.081

Z = (x - μ) / σZ

= (1.1 + 0.1 - 1.1) / 0.081

= 1.23

Z = (1.1 - 0.1 - 1.1) / 0.081

= -1.23

P ( -1.23 < Z < 1.23) = 0.7977

The percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 79.77%.

e) Determine the percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg.

Sample distribution follows normal distribution with mean( μ )= 1.10 kg,

and

standard deviation σ = 0.04

Z = (x - μ) / σ

Z = (1.1 + 0.1 - 1.1) / 0.04

= 2.5

Z = (1.1 - 0.1 - 1.1) / 0.04 = -2.5

P ( -2.5 < Z < 2.5) = 0.993

The percentage of all samples of twelve men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.10 kg is 99.3%.

2)

Given mean = 1.60 kg,

standard deviation = 0.12 kg

68.26% of men in country A have brain weights between μ - σ and μ + σ

68.26% of men in country A have brain weights between 1.48 kg and 1.72 kg.

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The standard deviation of a random variable can be found using the formula:σ=√σ2 σ=√9.8 σ=3.13,Therefore, the standard deviation of the given distribution is 3.13.

We need to find the variance and standard deviation

The probability of 6-11 questions right is

P(X=6) = 0.06

P(X=7) = 0.10

P(X=8) = 0.30

P(X=9) = 0.10

P(X=10) = 0.14

P(X=11) = 0.30

Part 1 of 3:

Find the mean

The mean (expected value) of a random variable can be found using the formula:

μ=∑X.P(X)

μ=6×0.06+7×0.10+8×0.30+9×0.10+10×0.14+11×0.3

μ=0.36+0.7+2.4+0.9+1.4+3.3

μ=9.1

Therefore, the mean of the given distribution is 9.1.

Part 2 of 3: Find the variance

The variance of a random variable can be found using the formula:

σ2=∑(X-μ)2.P(X)

σ2=(6-9.1)2×0.06+(7-9.1)2×0.10+(8-9.1)2×0.30+(9-9.1)2×0.10+(10-9.1)2×0.14+(11-9.1)2×0.3

σ2=9.8

Therefore, the variance of the given distribution is 9.8.

Part 3 of 3: Find the standard deviation.

The standard deviation of a random variable can be found using the formula:

σ=√σ2

σ=√9.8

σ=3.13

Therefore, the standard deviation of the given distribution is 3.13.

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Answer:

46°

Step-by-step explanation:

D = 90° - 44° = 46°

After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

The number of gallons of water that the pool will be able to hold would be = 24,600 gallons.

To calculate the number of gallons of water, the volume of the pool should first be calculated as follows:

The pool is divided into two shapes to obtain a trapezium and a rectangular prism.

Volume of rectangular prism= lwh

length= 30ft

width= 4ft

height= 20ft

Volume= 30×4×20= 2,400ft³

Volume of trapezoid prism;

= 1/2(a+b)hl

where;

a= 8ft

b= 30-16= 14ft

h= 8-4= 4ft

l= 20ft

Volume= 1/2(8+14)4×20

= 1/2(22)80

= 880ft³

The volume of structure;

= 2,400ft³+880ft³

= 3,280ft³

But 1ft³ = 7.5 gallons

3,280ft³ = X gallon

make X gallons the subject of formula;

X gallons= 7.5×3280= 24,600 gallons

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The action that invalidates the contract Tim signed with the rental agency would likely be:

c. the representative failed to have Tim initial by the fuel level on the check-out sheet.

In contracts, both parties are expected to fulfill their obligations and responsibilities as stated in the agreement.

If the rental agency's representative failed to have Tim initial by the fuel level on the check-out sheet, it could lead to disputes or misunderstandings regarding the condition of the car at the time of rental.

This failure to properly document the fuel level could potentially affect the terms and obligations outlined in the contract, which might lead to the contract being invalidated or legally contested.

Initialing by the fuel level on the check-out sheet is often a way for both parties to acknowledge the initial condition of the car's fuel tank.

Failure to do so could lead to disputes regarding the fuel level upon returning the car.

This omission could potentially create ambiguity and give Tim grounds to challenge the contract's terms.

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Answer:

The answer is B 0,2

Step-by-step explanation:

I hope that correct