measurements I suck at it​

Answer:

Slant height = 8 feet.

Step-by-step explanation:

If the perimeter of the square base = 12 then each side of the base = 12/4

= 3  feet and its area = 3*3 = 9 ft^2

The area of one of the triangular sides = 1/2 * 3 * h where h is slant height.

So total surface area = 57 = 9 + 4 * 1.5h

9 + 6h = 57

6h = 48

h = 8 feet.

The tables in this problem are classified as follows:

1) Function.

2) Not a function.

3) Not a function.

4) Function.

5) Function.

6) Not a function.

A relation represents a function when each input value is mapped to a single output value.

Hence the tables are classified as follows:

1) Function.

2) Not a function -> input of 9 is mapped to two different outputs.

3) Not a function. -> input of 4 is mapped to two different outputs.

4) Function.

5) Function.

6) Not a function -> input of -3 is mapped to two different outputs.

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Answer:

1/5

Step-by-step explanation:

\(\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\\)

lim x->4   plug in x=4

1/(x+1) = 1/(4+1) = 1/5

True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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Answer:

Step-by-step explanation:

42*2/3=84/3=28

The solution (2, 2) means that 2 adults and 2 children boarded the raft and the weight of the raft didn't exceed its maximum weight.

The solution (5, 0) means that 5 adults boarded the raft and the weight of the raft exceeded its maximum weight.

Based on the information provided above, a system of linear inequalities that represent both the minimum (least) and maximum (most) weight Chase can carry in terms of rafters is given by;

Minimum: 75x + 50y ≥ 150

Maximum: 200x + 100y ≤ 800

where:

For the first trip wherein, Chase guides 2 adults and 2 children;

75x + 50y ≥ 150

75(2) + 50(2) ≥ 150

150 + 100 ≥ 150

250 ≥ 150 (True).

200x + 100y ≤ 800

200(2) + 100(2) ≤ 800

400 + 200 ≤ 800

600 ≤ 800 (True).

For the second trip wherein, Chase guides 5 adults;

75x + 50y ≥ 150

75(5) + 50(0) ≥ 150

375 + 0 ≥ 150

375 ≥ 150 (True).

200x + 100y ≤ 800

200(5) + 100(0) ≤ 800

1,000 + 0 ≤ 800

1,000 ≤ 800 (False).

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Complete Question:

Chase estimates the weight of each adult as approximate 200 pounds and the weight of each child under age sixteen as approximate 100 pounds. Chase charges adults $75 and children under age sixteen $50 to ride down the river with him. His goal is to earn at least $150 each rafting trip.

To write an inequality to represent the most weight Chase can carry in terms of rafters. Define your variables.

Answer:

F (x) = 16 (3/2) x-1  

Step-by-step explanation:

The answer is B  

To calculate Evan's AGI (Adjusted Gross Income) and taxable income if he files as a single taxpayer, we need to consider his income and deductible expenses.

Calculate Evan's total income:
  - Salary: $73,650
  - Part-time hourly pay: $700

  Total income = Salary + Part-time pay = $73,650 + $700 = $74,350

Deductible expenses:
  - Moving expenses: $1,200
  - Student loan interest: $2,890
  - Uniform cost: $1,490
  - Cash contribution: $1,345

  Total deductible expenses = $1,200 + $2,890 + $1,490 + $1,345 = $6,925

Calculate AGI:
  AGI = Total income - Total deductible expenses
  AGI = $74,350 - $6,925 = $67,425

Evan's taxable income is equal to his AGI since there were no other deductions mentioned in the question.

Therefore, Evan's AGI is $67,425, and his taxable income is also $67,425.

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Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

We have,

Income:

Salary: $73,650

Part-time work pay: $700

Total income: $73,650 + $700 = $74,350

Deductible Expenses:

Cost of moving possessions: $1,200

(This deduction applies if the move meets certain distance and time requirements. Since the move was 125 miles away, it meets the distance requirement.)

Interest paid on student loans: $2,890

Cost of purchasing a delivery uniform: $1,490

Cash contribution to State University deliveryman program: $1,345

Total deductible expenses:

$1,200 + $2,890 + $1,490 + $1,345

= $6,925

Now we can calculate Evan's AGI and taxable income:

AGI (Adjusted Gross Income)

= Total income - Deductible expenses

AGI = $74,350 - $6,925 = $67,425

Taxable Income = AGI - Standard Deduction

For a single filer in 2022, the standard deduction is $12,550.

Taxable Income = $67,425 - $12,550 = $54,875

Therefore,

Evan's AGI is $67,425 and his taxable income is $54,875 if he files as a single taxpayer.

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Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

Answer:

4\(a^{9}\)\(b^{8}\)

Step-by-step explanation:

\(\frac{8a^{6}b^{12} x 4a b^{3} }{8x^{-2}b^{7} }\)

\(\frac{32a^{7} b^{15} }{8a^{-2} b^{7} }\)

4\(a^{9}\)\(b^{8}\)

Helping in the name of Jesus.

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)

Answer:

−2x2+16x−42

Step-by-step explanation:

Answer:The coach stands approximately 15 feet in front of the players and throws a ground ... At the opportune time, the coach throws a softball, "leading" the runner with the ... This drill can also be practiced with infielders at their respective bases with ... toward the target), the opened shoulders, and the ball in the throwing hand.

Missing: Melissa ‎9

Step-by-step explanation:

The larger sample size or a smaller significance level would increase the power for both cases.

Given data:The heat evolved in calories per gram of a cement mixture is approximately normally distributed.The mean is thought to be 100 and the standard deviation is 2. We wish to test H0:  μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens.(a) If the rejection region is defined as  or , find the type I error probability.The type I error probability is the probability of rejecting the null hypothesis H0 when it is true. It is given by the significance level or alpha (α).For two-tailed tests, the rejection region is defined by two critical values or z-scores, one in each tail.The z-score for  is:z = (98.5 - 100) / (2 / √9) = -2.25The corresponding probability is P(Z ≤ -2.25) = 0.0122.The z-score for  is:z = (101.5 - 100) / (2 / √9) = 2.25The corresponding probability is P(Z ≥ 2.25) = 0.0122.The total type I error probability is the sum of the two tail probabilities: P(Type I error) = 0.0122 + 0.0122 = 0.0244(b) Find for the case where the true mean heat evolved is 103.The sample mean is still assumed to be 100, but the true mean is 103. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator.

For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 103, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (103 - 100) / (2 / √9) = 4.5t = t(0.975, 8, 4.5) = 2.31β = P(Type II error) = P(|t| < 2.31) = 0.1335Power = 1 - β = 0.8665(c) Find for the case where the true mean heat evolved is 105.The sample mean is still assumed to be 100, but the true mean is 105. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator. For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 105, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (105 - 100) / (2 / √9) = 6.75t = t(0.975, 8, 6.75) = 3.12β = P(Type II error) = P(|t| < 3.12) = 0.0457Power = 1 - β = 0.9543This value of power is smaller than the one found in part (b) because the true mean is farther away from the null value, and the sample size is fixed. A larger sample size or a smaller significance level would increase the power for both cases.

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Answer:

Which equation?

Step-by-step explanation:

By using substitution method we get the value of x is 8 liters.

What is substitution method?

The algebraic procedure for resolving multiple linear equations at once is called the substitution method. As the name implies, this method involves substituting a variable's value from one equation into another.

Let the total quantity of the tub is y liters.

For the first time Karen adds 16 liters to x liters, the tub would be 80% full.

Then, 16 + x = 80y/100

      => 16 + x = 8y/10

      => 160+10x=8y

      => y=5x/4 + 20  ..............(1)

Again, Maya drains 10 liters of water from the x liters, the tub would be 60% full.

Then x-10=60y/100

    => x-10=6y/10

    => 10x-100=6y  ..............(2)

Substitute equation (1) in equation (2) and we get

10x - 100 = 6 * (5x/4 + 20)

=> 10x - 100 = 15x/2+120

=>10x-15x/2=120-100

=>(20x-15x)/2 = 20

=> 5x/2 = 20

=> 5x = 40

=> x= 8

Therefore, the value of x is 8 liters.

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A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Answer:

90°

Step-by-step explanation:

16x - 6 and 15x are alternate angles and are congruent, then

16x - 6 = 15x ( subtract 15x from both sides )

x - 6 = 0 ( add 6 to both sides )

x = 6

Then

16x - 6 = 16(6) - 6 = 96 - 6 = 90°

The general equation of a line is y = mx+b, m being the slope and b the intercept on the y-axis.

We are given the line 7y-4x=-14, let's organize the equation like the general form:

In order to be parallel to your line, a line has to have the same slope as your line. So the slope has to be 4/7.

Thus any line parallel to the line y=4/7x-2 has an equation of the form y=4/7x+b, where b is any number.

By looking at the answer options, we can select the second option y= 4/7x-1

Answer:

h(-2) = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify.

h(x) = -x - 1

Step 2: Evaluate

Let f(x) = x^2, and compute the Riemann sum of f over the interval [7, 9], choosing the representative points to be the left endpoints of the subintervals and using the following number of subintervals (n). (Round your answers to two decimal places.)

Two subintervals of equal length (n = 2). The width of each subinterval would be:Δx = (9 - 7)/2

= 1The representative points are 7 and 8.

Now, we can compute the Riemann sum as:

Riemann sum = Δx [f(7) + f(8)]

Riemann sum = 1[7^2 + 8^2]

Riemann sum = 15

Therefore, the Riemann sum for two subintervals of equal length is 15. Five subintervals of equal length (n = 5) The width of each subinterval would be:Δx = (9 - 7)/5

= 0.4

The representative points are:7, 7.4, 7.8, 8.2, and 8.6.

Now, we can compute the Riemann sum as:

Riemann sum = Δx [f(7) + f(7.4) + f(7.8) + f(8.2) + f(8.6)]

Riemann sum = 0.4 [7^2 + (7.4)^2 + (7.8)^2 + (8.2)^2 + (8.6)^2]

Riemann sum = 86.48

Therefore, the Riemann sum for five subintervals of equal length is 86.48.

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Answer:

still need it??

Step-by-step explanation:

lemme know if you do.

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Answer:

square root of pie represent the triangularity of the polverinizing sphere which is V=12.^7aN(f>82

Answer:

\(\boxed{\sf -14-4i}\)

Step-by-step explanation:

\(\sf (-2i)(2-7i)\)

Multiply -2i * 2-7i:-

\(\sf -2i\times 2-2(-7)i^2\)

i^2 is -1

\(\sf -2i\times 2-2(-7)(-1)\)

Now, do the multiplications.

Reorder the terms.

\(\sf -14-4i\)

____________________________________

Answer:

The fraction of people for 4th movie is 0.1167

Step-by-step explanation:

The number of people that bought a comedy movie ticket = 2/3

The number of people that bought the horror movie ticket = 1/4

The number of people that bought kids movie ticket = 3/10

Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833

The fraction of people for 4th movie = 1 – 0.8833 = 0.1167

Answer:

2x + 2.9 = 30.6

Step-by-step explanation:

We are to represent the unknown number that Mark thinks of with x

If Mark doubles this unknown number, he multiplies it by 2 and the unknown number becomes - 2x

He then adds 2.9

The equation becomes 2x + 2.9

The answer of the above equation is 30.6

This gives : 2x + 2.9 = 30.6

After 3 months memberships will cost the same.

We have,

Cost of Membership of 1st gym = $ 10  per month

And, the Cost of the sign-up fee for 1st gym = $ 45

And,

Cost of Membership of  2nd gym =  $ 25 per month

And, the Cost of the sign-up fee of the 2nd gym = $ 0

Now,

Let the number of months = m

So,

According to the question;

45 + 10m = 25m

⇒

25m - 10m = 45

15m = 45

m=3

So, After 3 months memberships will cost the same.

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Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

\(P(t)=P_0e^{kt}\)

Where, \(P_0\) is the initial value, k is the growth constant and t is the number of years.

Putting \(P(t)=15000,P_0=3000, k=2.8\) in the above formula, we get

\(15000=3000e^{2.8t}\)

\(\dfrac{15000}{3000}=e^{2.8t}\)

\(5=e^{2.8t}\)

Taking ln on both sides, we get

\(\ln 5=\ln e^{2.8t}\)

\(1.609438=2.8t\)                  \([\because \ln e^x=x]\)

\(\dfrac{1.609438}{2.8}=t\)

\(0.574799=t\)

\(t\approx 0.575\)

Therefore, the number of bacteria will be 15,000 after 0.575 hours.