an acetal disk precisely 5 mm thick by 25 mm diameter is used as a cover plate in a mechanical loading device. if a 30- kn load is applied to the disk, calculate the resulting dimensions.

Answer:

4

Step-by-step explanation:

in a 30,60,90 triangle the hypotenuse(x) is always double the base (2)

Answer:

4

Step-by-step explanation:

sin(30 degrees) = 1/2

x = 2/sin(30 degrees) = 4

Based on the calculations, the unknown numbers include the following:

In order to solve this word problem, we would assign variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Translating the word problem into an algebraic equation, we have;

The sum of three numbers is 200:

x + y + z = 200   .........equation 1.

The largest exceeds the middle number by 32:

x = y + 32

y = x - 32    .........equation 2.

The largest exceeds the smallest number by 32:

x = z + 65

z = x - 65    .........equation 3.

Substituting equation 2 and 3 into equation 1, we have:

x + y + z = 200

x + (x - 32) + (x - 64) = 200

3x - 97 = 200

3x = 200 + 97

3x = 297

x = 297/3

x = 99

For the value of y, we have:

y = x - 32

y = 99 - 32

y = 67.

For the value of z, we have:

z = x - 65

z = 99 - 65

z = 34

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Complete Question:

The sum of three numbers is 200 and the largest exceeds the middle by 32 and the smallest by 65. What are those numbers?

Answer:

Motorcycle travel 150 miles in 3 hours

step by step explanation:

3:0,5=6

25

. 6

___

150

A) We can look at the coordinates of x in the horizontal axis and the coordinates of y in the vertical axis.

Then, we can see that A has coordinates (0,1), B has coordinates (1,2), C has coordinates (2,3) and D has coordinates (3,4).

We can then complete the table as:

Point | x | y

A | 0 | 1

B | 1 | 2

C | 2 | 3

D | 3 | 4

B) If we look at the pattern we can see that the points form a line.

A line will have a constant rate of change. We can see that for each unit increase of x, there is a increase of one in y, and this happens for all the points, so the rate of change is constant.

C) If we continue the pattern, we can create another point from D by adding one unit in x and one unit in y. This way we mantain the same rate of change (one unit of y per unit of x) and find new points.

With this method, we can create the following points: E(4, 5), F(5, 6) and G(6, 7).

We can plot them as:

To evaluate the given function as a power series centered at 0, we can use the Maclaurin series expansion.  The function we are given is not specified, so we'll assume it's f(x) = sin(x^2).

To find the coefficients of the power series, we can use the formula:  an = (1/n!) * f^(n)(0),  where f^(n)(0) denotes the nth derivative of f evaluated at x = 0.
Using this formula, we can find the first few nonzero terms:
a0 = sin(0^2) = 0
a1 = cos(0^2) * 2x = 2x
a2 = -sin(0^2) * 4x^2 / 2! = 0
a3 = -cos(0^2) * 8x^3 / 3! = -4x^3/3
So the first four nonzero terms of the power series for f(x) = sin(x^2) centered at 0 are:  f(x) = 2x - 4x^3/3 + ...
The full power series with summation notation is:  f(x) = Σ(n=0 to infinity) (-1)^n * (2n+1)! * x^(4n+2) / (2^(2n+1) * (n!)^2)
This power series is guaranteed to be valid for all values of x, since sin(x^2) is an entire function.

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Answer:

With the area you can find the radius and then substitute the radius in the circumference formula

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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Answer:

always decreasing

Step-by-step explanation:

Answer:

4/3.

Step-by-step explanation:

Unit rate is the same as slope. In order to find the slope, we are going to use this formula:

m = y2 - y1 / x2 - x1

Now, we substitute the numbers into the equation:

m = 8 - 0 / 6 - 0

m = 8/6

m = 4/3

Therefore, the unit rate is 4/3.

Answer:

Where is the data ?

Step-by-step explanation:

Need the data set

Answer:

b

Step-by-step explanation:

.7 is in the tenths place. so it is .70

Answer:

B. .7 is equal to .70 which is a C for her grade

Answer:

240 miles

Step-by-step explanation:

Step 1

We find the constant rate at which the family travels

Speed(Rate) = Distance/Time

A Family travels at a constant rate and drove 420 miles in 7 hours.

Speed(Rate) = 420 miles/7 hours

= 60 miles per hour

Step 2

If they drive at the same speed ,How many miles will they drive in the next four hours.?

We are to finally calculate the distance for the next 4 hours

Distance = Speed × Time

Speed = 60 miles per hour

Time = 4 hours

Distance = 60 miles per hour × 4 hours

Distance = 240 miles

Therefore, for the next 4 hours the number of miles they would drive is 240 miles

The ideal amount of flour for 5 cakes is 40 cups of flour. The ratio of flour to cake for baking is 8 cups of flour for 2 cakes. This means for each cake, there should be 4 cups of flour. Therefore, for 5 cakes, it would be 5 multiplied by 4, which is equal to 40. This amount of flour should be enough to produce moist, light, and fluffy cakes.

If the baker uses more than 40 cups of flour, it could lead to overly dense and dry cakes, because the extra flour will absorb all the moisture and leave the cakes dry. On the other hand, using less than 40 cups of flour could lead to the cakes being too light and airy. Not having enough flour can lead to a dry and tough texture.

Therefore, the baker should use 40 cups of flour when making 5 cakes. Following the 8 cups of flour to 2 cakes ratio ensures that the cakes will have the perfect texture and consistency. This is why 40 cups of flour is the ideal amount for a baker to make 5 cakes.

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Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

\(n(x) = 8 \: n(y) = 12 \\ n(x\: u \: y) = 8 + 12 \\ n = 20\)

Answer:

23.5

Step-by-step explanation:

Answer:

23.5

Step-by-step explanation:

Remember...

5 or more? raise the score, 4 and below let it rest

The number in the tenths place, in this case, is 5 and the number next to it is 4, and since 4 is less than 5, you do not round 5 up to 6, you simply leave it alone!

The total cost for 10 hours of work would be 25 + 50(10) = 525.

Cost is the monitorial associated with the purchase of production of food or service if can include the prices of material of which is over it and other expenses that are related to the production of the code of service cost is a major fraction of when deciding whether to purchase a product something as it is and indicator of the value of the product of sound service.
The marginal cost of producing 5 items can be calculated using the equation C(x)=1300+4x/10. The marginal cost is the cost associated with producing one additional item. To calculate the marginal cost, we can plug in x=5 into the equation.

The equation in slope-intercept form for cost, c, after h hours of service is c = 25 + 50h.

The total cost for 8 hours of work would be 25 + 50(8) = 425.

The total cost for 10 hours of work would be 25 + 50(10) = 525.

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\(\huge\text{Hey there!}\)

\(\mathsf{2^6 = 2\times2\times2\times2\times2\times2}\\\mathsf{2\times2\times2\times2\times2\times2}\\\mathsf{2\times2=4}\\\mathsf{4\times4\times4}\\\mathsf{4\times4=16}\\\large\mathsf{16\times4=64}\\\mathsf{2^6 = \bf{64}}\)

\(\mathsf{4^4=4\times4\times4\times4}\\\mathsf{4\times4\times4\times4}\\\mathsf{4\times4=16}\\\mathsf{16\times16}\\\mathsf{16\times16=256}\\\mathsf{4^4=\bf{256}}\)

\(\boxed{\boxed{\mathsf{Answer: 64\neq 256}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Does the equation that produced the predicted values represents a good line of best fit: No, the equation is not a good fit because the sum of the residuals is a large number.

Mathematically, the residual value of any data set can be calculated by using this formula:

Residual value = actual value - predicted value

Next, we would determine the residual values of this data set as follows:

12 - 6.5 = 5.5.

9 - 8.5 = 0.5.

16 - 9.5 = 5.5.

14 - 10 = 4.

5 - 11 = -6.

24 - 12.5 = 11.5.

In order to determine whether or not the equation that was used to produce the predicted values represent a good line of best fit, we would have to calculate the sum of the residuals as follows:

Sum of residuals = 5.5 + 0.5 + 5.5 + 4 - 6 + 11.5

Sum of residuals = 21

Since the sum of residuals is far from zero (0), we can logically conclude that the equation is not a good line of best fit.

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Answer:

25 years.

Step-by-step explanation:

Given that a woman is 5 times as old as her daughter, while in 15 years time it will be two times as old as her daughter, to find a mother's presents age the following calculation must be performed:

5 x 5 = 25

25 + 15 = 40

40/2 = 20

5 + 15 = 20

Thus, the present age of the mother is 25 years, while that of her daughter is 5 years, with which the mother is five times the age of her daughter. In 15 years, the mother will be 40 and her daughter 20, with which she will only be twice her age.

According to the information, the volume of the triangular prism is 54 cubic units.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.

First, we find the area of the triangular base:

Next, we multiply the area of the triangular base by the height of the prism:

Therefore, the volume of the triangular prism is 54 cubic units.

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Step-by-step explanation:

p=2(l+w)

30cm=2(n+6+n)

30cm\2=2n+6

15cm-6=2n

9cm=2n

n=4.5cm or w=4.5cm

l=w+6

l=4.5cm+6

l=10.5cm

Answer:

by increasing the size ez

Answer:

Explanation:

\(\sf \dfrac{20}{32} = \dfrac{20}{32} \ \div \ 1 = \dfrac{20\div 4}{32 \div 4} = \dfrac{5}{8}\)

Follow the sequence. and divide the multiply the following fraction.

=======

Answer:

\(\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}\)

Step-by-step explanation:

When reducing fractions to their simplest equivalent, we need to divide the numerator and denominator by their highest common factor.

Factors of 20:   1, 2, 4, 5, 10, 20

Factors of 32,    1, 2, 4, 8, 16, 32

Therefore, the highest common factor is 4.

\(\sf \dfrac{20}{32}=\dfrac{20}{32} \div 1=\dfrac{20 \div 4}{32 \div 4}=\dfrac{5}{8}\)