Part A
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

Press fit is calculated by determining the required force to assemble two cylindrical parts, using the interference between them and their material properties.

Press fit is calculated by determining the amount of interference between two cylindrical parts and their material properties. The interference is the difference between the diameter of the shaft (male part) and the diameter of the hole (female part). The required force to assemble the parts is then calculated using the material properties of both parts and the amount of interference. The interference is typically expressed as a percentage of the shaft diameter, and the required force is expressed in pounds or newtons.

Calculating the press fit is important for ensuring that the parts are securely and correctly assembled, and for preventing excessive stress or deformation in either part. Press fit calculations are commonly used in mechanical engineering and manufacturing applications.

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Answer: -19

Step-by-step explanation: 5 x 3 = 15

9 x 4 = 36

15 - 36 = -21

-21 + 2 = -19

Answer:

It's D.

Step-by-step explanation:

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

\(X(t)=(x,y)\)

In which \(X(t)\) are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

\(''x''\) and \(''y''\) are functions that depend from the variable ''t''.

For this exercise :

\(X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30]\)

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function \(X(t)\).

The function to study is \(y(t)=-25cos(\frac{\pi}{30}t)+30\)

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ \(y(t)=-25cos(\frac{\pi}{30}t)+30\)  ⇒

\(y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)\)

Now we equalize \(y'(t)\) to 0 ⇒

\(y'(t)=0\) ⇒ \(\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0\)

In this case it is easier to look for the values of ''t'' that verify :

\(sin(\frac{\pi}{30}t)=0\)

Now we need to find the values of ''t''. We know that :

\(sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0\)

Therefore we can write the following equivalent equations :

\(\frac{\pi}{30}t=0\) (I)

\(\frac{\pi}{30}t=\pi\) (II)

\(\frac{\pi}{30}t=-\pi\) (III)

From (I) we obtain \(t_{1}=0\)

From (II) we obtain \(t_{2}=30\)

And finally from (III) we obtain \(t_{3}=-30\)

We found the three critical points of \(y(t)\). To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of \(y(t)\) :

\(y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)\) ⇒

\(y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)\)

Now given that we have an arbitrary critical point ''\(t_{n}\)'' ⇒

If \(y''(t_{n})>0\)  then we will have a minimun at \(t_{n}\)

If \(y''(t_{n})<0\) then we will have a maximum at \(t_{n}\)

Using the second derivative test with \(t_{1},t_{2}\) and \(t_{3}\) ⇒

\(y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0\) ⇒ We have a minimum for \(t_{1}=0\)

\(y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0\) ⇒ We have a maximum for \(t_{2}=30\)

\(y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0\) ⇒ We have a maximum for \(t_{3}=-30\)

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of \(y(t)\) the critical points \(t_{2}\) and \(t_{3}\) ⇒

\(y(t_{2})=y(30)=55\)

\(y(t_{3})=y(-30)=55\)

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let x represent the number of hot dogs and y represent the boxes of popcorn.

Justin buys a total of 9 snacks. Hence:

He buys popcorn 3 less than twice as many hot dogs. Hence:

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 5

Justin buys 4 hot dogs ad 5 pop corn boxes at the baseball game.

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1. Hebron bank). 2.hospital 3.pizza city 4. Jimmy Girll

The statement "the San Gabriel Mountains are 60 miles lengthy, 24 miles wide, and more or less 10,000 feet high (at their highest)" is true.

The San Gabriel Mountains are a mountain range positioned in Southern California, walking east-west across los angeles County. They stretch for approximately 60 miles from the Cajon bypass inside the east to the San Fernando Valley inside the west and are around 24 miles wide.

The best peak within the range is Mount San Antonio, also referred to as Mount Baldy, that is kind of 10,000 ft high. The San Gabriel Mountains are a famous destination for out of doors sports consisting of hiking, camping, and snowboarding, and are an vital supply of water for the los angeles place.

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A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.

Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.

It is denoted by λ , which is the mean number of events.

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Answer: It's C.

Step-by-step explanation:

Hope This Helps!!! : )

The predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

To compare the models based on goodness of fit, we need to look at the adjusted R-squared values. The adjusted R-squared adjusts for the number of predictors in the model and provides a measure of how well the model fits the data while considering the degrees of freedom.

Comparing the models:

Model A: Adjusted R-squared = 0.74

Model B: Adjusted R-squared = 0.73

Model C: Adjusted R-squared = 0.72

Model D: Adjusted R-squared = 0.75

Based on the adjusted R-squared values, we can see that Model D has the highest value (0.75), indicating the best goodness of fit among the four models. Model A has the second-highest value (0.74), followed by Model B (0.73), and Model C (0.72).

Therefore, the correct answer is:

d. D>A>B>C

Now, let's move on to the second part of your question regarding predicting the college GPA of a student.

The estimated model is:

colGPA = β1 + β2 hsGPA + β3 ACT + ω1

Given:

β1 = 0.6

β2 = 0.35

β3 = 0.032

hsGPA = 3.3

ACT = 31

To predict the college GPA of a student, we substitute the values into the equation:

colGPA = 0.6 + (0.35 * 3.3) + (0.032 * 31)

= 0.6 + 1.155 + 0.992

= 2.747

Therefore, the predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

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Answer:

3.528

Step-by-step explanation:

First, you need to determine the scale factor. Divide one side in the larger triangle by the corresponding side in the smaller triangle. For example, 8/2. This would give you a scale factor of 2. Then you can reverse the process with the dimensions you need to get the area. The height of the larger triangle is 3.36, so to find the height of the smaller one, you divide it by 2, or the scale factor, to get the height of the smaller triangle which is 1.68. Next, you can solve for area of triangle using a=bh/2, so 4.2*1.68/2=a = 3.528.

Answer:

CAB = 36 degrees, DAB = 107 degrees, EAB = 162 degrees, CAF = 144 degrees, DAF = 73 degrees, EAF = 18 degrees.

Step-by-step explanation:

Find the angle you are trying to figure out and then look at numbers on the protractor. The angle depends on where the 3rd point is (B or F). If it is B it would be the second row of numbers, if it was F, it would be the 1st row.

Hope this helps!! :)

Tthe inequality that describes this graph is y ≤ 1/3x - 4/3

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(0, -1.3) and (3, -0.3)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-0.3 + 1.3)/(3 - 0)

Evaluate

m = 1/3

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1/3(x - 0) - 1.3

Evaluate

y = 1/3x - 4/3

From the graph, we have the following highlights:

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≤

Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3

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The rational expressions (9)/(4v^(3)) and (prod)/(4v^(5)) are made equivalent by setting "prod" equal to 36v^(5), where the numerator of the second expression is 9 times the denominator. Thus, (9)/(4v^(3)) = (36v^(5))/(4v^(5)).

To make the rational expressions equivalent, we need to find the missing value for "prod" in the second expression. We can do this by comparing the numerators and denominators of both expressions.

The given expression is (9)/(4v^(3)), and we want it to be equivalent to (prod)/(4v^(5)). Comparing the numerators, we have 9 and "prod". Similarly, comparing the denominators, we have 4v^(3) and 4v^(5).

To make the expressions equivalent, the numerator and denominator of the second expression must have the same ratio as the first expression.

In this case, we can see that the numerator of the second expression (which is "prod") needs to be 9 times the denominator (4v^(5)).

Therefore, we can fill in the blank by multiplying the denominator of the second expression by 9, which gives us:

(prod) = 9 * 4v^(5) = 36v^(5)

So, the equivalent rational expression is (9)/(4v^(3)) = (36v^(5))/(4v^(5)).

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Answer:

what questions?

Step-by-step explanation:

The formula for the area of a regular octagon in proportion to its Apothem, which in this case is 18, is used to arrive at the following result. As a result, the area of the Octagon provided is 1,446.

An apothem is  a line from the center of a regular polygon at right angles to any of its sides.

This shape's computation utilizing solely its apothem features several curved bends. To calculate the area, we first divide the octagon into triangles.

We may get the area of the Octagon by multiplying the area of the triangles by the total number.

As a result, the area of the Octagon (A) = (1/2b*h)n.

Where b is the base

          height = h

          n is the number of triangles.

Remember that the total angle in a circle is 360°, thus if all the triangles are equal, we must divide 360° by 8 triangles to find the angle in each triangle's vertex.

Thus, 360°/8 = 45°

As a result, we obtain the angle of our triangle opposite the base.

Remember that the triangle is divided in two such that each triangle is a right-angled triangle.

As a result, for each right angle triangle, the angle opposite the base is given as:

45°/2 = 22.5°

So we use the rule of tangents to calculate the length of the opposite side (x):

That is to say:

x = 18 Tan 22.5°

= 18 * 0.55785173935

≈ 10.04

As a result, if x equals 10.04, the area of that triangle is

= 1/2 * 10.04 * 18 (which is 1/2bh)

= 90.3792

We may deduce from the foregoing that the Area of the triangle with the Apothem is

= 90.3792 * 2

= 180.74

Recall our formula for finding the area of the octagon:

A = (1/2bh)n

A = (108.74) *8

A = 1,445.95

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To find the area of the regular octagon with center O, divide it into smaller shapes, calculate their areas, and sum them up: (8 * side length^2) + (2 * side length^2 * √2) ≈ 11.3 * side length^2 (rounded to the nearest tenth).

To find the area of a regular octagon with center O, you can divide it into smaller shapes and then sum up their areas.

A regular octagon can be divided into eight congruent isosceles triangles and a square at the center.

Let's assume the side length of the octagon is "s."

Each of the eight isosceles triangles has two equal sides, which are also radii of the octagon, and one base.

The angle between these two radii is 45 degrees because there are 360 degrees in an octagon, and each interior angle of a regular octagon is 135 degrees (360°/8).

This makes each of the two equal angles in the isosceles triangle 67.5 degrees (half of 135 degrees).

You can find the area of one of these isosceles triangles using the formula for the area of a triangle:

Area = (1/2) * base * height

The base is "s," and the height can be calculated using trigonometry:

height = s * sin(67.5 degrees)

Now, you can find the area of one isosceles triangle:

Area of one triangle = (1/2) * s * s * sin(67.5 degrees)

There are eight such triangles in the octagon, so the total area contributed by the triangles is:

Total area of triangles = 8 * (1/2) * s * s * sin(67.5 degrees)

Next, you need to find the area of the square at the center.

The diagonals of this square are equal to the sides of the octagon (s).

The area of the square is:

Area of square = s * s

Now, add the areas of the triangles and the square to find the total area of the octagon:

Total area of octagon = Total area of triangles + Area of square

Total area of octagon = 8 * (1/2) * s * s * sin(67.5 degrees) + s * s.

Now, you can calculate the area of the octagon by plugging in the values:

Total area = 8 * (1/2) * s^2 * sin(67.5 degrees) + s^2

Using the value of sin(67.5 degrees) ≈ 0.9239 (rounded to four decimal places):

Total area ≈ 8 * (1/2) * s^2 * 0.9239 + s^2

Simplify:

Total area ≈ 4 * s^2 * 0.9239 + s^2

Total area ≈ 3.6956s^2 + s^2

Total area ≈ 4.6956s^2

Now, you can round this to the nearest tenth if necessary.

The area of the regular octagon with side length "s" is approximately 4.7s^2 square units.

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We cannot determine the exact amount of fencing Sam needs.

To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.

First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.

Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.

So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).

Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.

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Answer:

I think the answer is either 26 or 28 (for the second one)

The answer is 9 for the third one

and 7 for the last one.

as for the first one, sorry, but I don't know the answer :(

Step-by-step explanation:

I hope I was able to help!

8 9/10 x 1 4/5

Exact Form:

801/50

Decimal Form:

16.02

Mixed Number Form:

16 1/50

sorry i only did 1

x° = 118°

y° = 180° - (22° + 180° - x°)

y° = 180° - (22° + 180° - 118°)

y° = 180° - 22° - 180° + 118°

y° = 118° - 22°

y° = 98°

Answer:

179 divided by 5 equals 35 with a remainder of 4.

Quotient: 35

Remainder: 4

To determine the probability that the specification for the clearance is met, we need to assume that the clearance follows a normal distribution. We can then use the standard normal distribution to calculate the probability that a clearance falls within the given specification range.

Assuming a normal distribution, we can use the formula for the standard normal distribution to calculate the probability that a clearance falls within the range of 0.015 to 0.063 mm:

z = (x - μ) / σ

where z is the z-score, x is the value we want to find the probability for, μ is the mean of the distribution (which we assume to be the midpoint of the specification range, i.e., (0.015 + 0.063) / 2 = 0.039 mm), and σ is the standard deviation of the distribution (which we assume to be (0.063 - 0.015) / 6 = 0.008 mm).

Using these values, we can calculate the z-scores for the lower and upper limits of the specification range:

z1 = (0.015 - 0.039) / 0.008 = -3

z2 = (0.063 - 0.039) / 0.008 = +3

We can then look up the area under the standard normal distribution curve between these two z-scores using a standard normal distribution table or a statistical software program. This area represents the probability that a clearance falls within the specification range. The area is approximately 0.9973, or 99.73%.

Therefore, we can say that there is a 99.73% probability that the specification for the clearance is met.

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\(\displaystyle\\Answer:P(A)=\frac{1}{6}.\)

Step-by-step explanation:

If one of the dice has a 6, then the other dice should have a 1 (7-6=1).

A dice has six faces and each face has a different number from 1 to 6.

Consequently, the probability that on a dice the digit 1 will fall is equal:

\(\displaystyle\\P(A)=\frac{1}{6}.\)

This is the solution to the problem.

The yy-component of vector a a is -y-direction, which is equal to 0 m/s2.the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.

Given a vector, a⃗ a→ = (5.0 m/s2, −y−direction)Find the yy -component of the given vector a⃗ a→.Solution: The yy-component of the given vector a⃗ a→ = -y-directionTo find the yy-component of the given vector a⃗ a→, we have to take the product of the second term of the vector with unit vector j^j^, which is in the direction of the y-axis.Therefore, the yy-component of vector a⃗ a→ is :a_yy = -y-direction = (-1)(0) = 0 m/s²  Answer: 0 m/s².

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The yy-component of vector a⃗ a→ is -y-direction.

The yy-component of a vector represents the magnitude of the vector in the y-direction.

In this case, the vector a⃗ a→ is given as (5.0 m/s2, −y-direction).

Since the yy-component is the magnitude in the y-direction, the yy-component of the vector a⃗ a→ is -y-direction.

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The finance charge for the month is $37.31. The daily periodic rate by dividing the monthly periodic rate by the number of days in the billing cycle

To calculate the finance charge for the month, we need to first find the daily periodic rate by dividing the monthly periodic rate by the number of days in the billing cycle. Assuming a standard 30-day billing cycle, the daily periodic rate would be 1.325%/30 = 0.04417%.

Next, we multiply the daily periodic rate by the average daily balance and the number of days in the billing cycle to get the finance charge for the month.

Finance charge = Daily periodic rate x Average daily balance x Number of days
Finance charge = 0.04417% x $2,817.48 x 30
Finance charge = $37.31

Therefore, the finance charge for the month is $37.31.

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13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26x

Answer:

13.) -3/4

14.) takes a lot of work

15.)5

16.) corresponding

14.) d=24

15.)25x+5=26xStep-by-step explanation:

The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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The probability that a daughter of an unaffected father and a mother who carries the dmd allele will develop the disease is 50 percent.

One from each parent, a girl receives the two X chromosomes. The daughters therefore have a 50% chance of acquiring the mutation and developing into carriers. Sons without DMD won't be carriers, but daughters without the condition will.

Carriers will always run the risk of giving birth to a child who carries the mutation or the disease, even if they don't show any symptoms of it themselves.

What is DMD?

Duchenne muscular dystrophy (DMD) is a genetic disorder characterized by progressive muscle degeneration and weakness caused by changes in a protein called dystrophin, which aids in the maintenance of muscle cells. DMD is one of four types of dystrophinopathies.

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