A 110-N force acting in a vertical plane parallel to the yz-plane is applied to the 220-mm-long horizontal handle AB of a socket wrench. Replace the force with an equivalent force-couple system at the origin O of the coordinate system.

The value of the x is 7.9

What is proportion?

Two ratios are set to be equal in an equation called a proportion.

Given,    \(\frac{7}{8} = \frac{x}{9}\)

or, 8x = 9*7

or, 8x = 63

or, x = 63/8

or, x = 7.875 = 7.9 (rounded to the nearest tenth)

Therefore, the required value of x is 7.9

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Answer:

\(\mathbf{ \dfrac{1}{8} \ box}\)

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

\(=\dfrac{5}{8} \ box \div 5\)

\(= \dfrac{5}{8} \ box \times \dfrac{1}{5}\)

\(\mathbf{= \dfrac{1}{8} \ box}\)

The absolute value inequality that represents the number of hours spent on doing homework is 2 ≤ x ≤ 5

Let us assume that one spends x hours doing homework on a typical weekday. Then we can write

The inequality expression for a slow weekend is given as;

X ≥ 2

In the same vein, the inequality expression for a busy weekend is given as;

X ≤ 5

Pooling the two inequalities expression we have;

2 ≤ x ≤ 5

Two inequality expression could be written simultaneously if they can be expressed individually. They are commonly referred to as a “double” inequality and is often written in the form a ≤ f (x) ≤ b

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Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

Answer:

576 inches long Pls mark me brainliest

Answer:

dont know sorry

Step-by-step explanation:

ask a tutor on brainly

Answer:

81

Step-by-step explanation:

Add the 5.5x

And add 75.50

Then you will get you answer.

I really hope this was helpful.

Answer:

t/n = 5

Step-by-step explanation:

Now:

Let t = Tom's age now.

Let s = sum of children's ages now.

n years ago:

Tom's age = t - n

Each of the three children was n years younger, so the sum of their ages n years ago is s - 3n

t = s

t - n = 2(s - 3n)

t = s

t - n = 2(t - 3n)

t = s

t - n = 2t - 6n

t = s

-t = -5n

-t/n = -5

t/n = 5

Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.

Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.

If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.

Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as

(X₁, P₁; X2, P2; ; Xm, Pm),

where Xi and Pi indicate the reward magnitude and probability of each potential outcome.

A decision-maker prefers B ($5000, 1.00) to

A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers

C = ($25000, 0.04; $0, 0.96) to

D = ($5000, 0.05; $0, 0.95).

However, EUT cannot account for these preferences.

The utility of the three alternatives is calculated as follows:

U(B) = $5000

U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000

U(D) = 0.05 × $5000 + 0.95 × $0 = $250

However, the expected utilities of A and B cannot be compared.

These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.

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Answer:

6(x^2-xy) - 3x(x-2) = 6x^2 - 6xy - 3x^2 + 6x

Combining like terms: 3x^2 - 6xy + 6x

To express the result as a monomial it would be 3x^2

So, the final answer is 3x^2

Answer:

The graph of y=1/2x-10 is a straight line with a slope of 1/2 and y-intercept of -10. It slopes upward from left to right and intersects the y-axis at -10.

On the other hand, the graph of y=1/x is a hyperbola that passes through the origin and has asymptotes at x=0 and y=0. It consists of two branches that curve towards the asymptotes in opposite directions.

Compared to the graph of y=1/x, the graph of y=1/2x-10 is a simpler and more predictable shape. It does not have asymptotes and has a constant slope. It also does not pass through the origin, unlike the graph of y=1/x.

Answer:

x = 3.32

y = 2.11

Step-by-Step Explanation:

The scale of the drawing is 1 inch represents 30 feet. This can be found by setting up a proportion:

18 inches (length of stage in drawing) / x (length of stage in real life) = 2 inches (length in drawing) / 45 feet (length in real life)

Simplifying this proportion gives:

x = 18 × 45 / 2 = 405

Therefore, the length of the stage in real life is 405 feet. To find the scale, we can set up another proportion:

1 inch (length in drawing) / x (length in real life) = 2 inches (length in drawing) / 60 feet (length in real life)

Simplifying this proportion gives:

x = 1 × 60 / 2 = 30

Therefore, the scale of the drawing is 1 inch represents 30 feet.

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The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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The statement holds true for the base case and it holds true for any k=n assuming it holds true for k=n, we can conclude that the statement holds true for all positive integer values of k. Hence, if we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in k binomial trees of the smaller orders.

The statement to be proven is: "If we remove the root of a \($\mathrm{k}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{k}$\) binomial trees of the smaller orders."

We will prove this statement by mathematical induction.

Base case k=1 :

Inductive step:

Suppose the statement holds true for some \($\mathbf{k}=\mathbf{n}$\), i.e., if we remove the root of an \($\mathbf{n}^{\text {th }}$\) order binomial tree, it results in \($\mathrm{n}$\) binomial trees of the smaller orders. We need to show that it also holds true for \($\mathbf{k}=\mathbf{n}+1$\)

using definition of mathematical induction.

Consider a \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, which can be formed by joining two \($\mathrm{n}^{\text {th }}$\) order binomial trees. If we remove the root of this \($(\mathrm{n}+1)^{\text {th }}$\) order binomial tree, we are left with two nth order binomial trees. By the induction hypothesis, each of these \($\mathbf{n}^{\text {th }}$\) order binomial trees will result in n binomial trees of the smaller orders. Hence, the result of removing the root of the \($(n+1)^{\text {th }}$\) order binomial tree will be n + n = 2n binomial trees of the smaller orders, which implies that the statement holds true for \($\mathrm{k}=\mathrm{n}+1$\) as well.

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The associated number of degrees of freedom for reading the t-value is 58.

The aim is to determine an interval for the mean of a population.

The standard deviation is unknown to us. The sample consists of 59 items. The mean of the sample is determined to be 32. We need to calculate the associated number of degrees of freedom for reading the t value.

We know that the degree of freedom is one less than the number of items in the sample space.

The associated number of degrees of freedom for reading the t-value is 59-1.

The associated number of degrees of freedom for reading the t-value is 58.

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Answer:

answer is 20................................

Answer: 30° and 110°

55° and 85°

70° and 70°

The sum of angles in a triangle is 180°. Therefore, since an angle has been given as 40°, the remaining angles will be:

= 180° - 40°

= 140°

Therefore,

30° + 110° = 140°

55° + 85° = 140°

70° + 70° = 140°

Answer:

Step-by-step explanation:

Answer:

The sum of twelve and sixteen divided by the sum of three and four

\(\frac{12 + 16}{3 + 4}\)

Hope this helps!!!

Answer:

p=\(\sqrt{y}\)-1

Step-by-step explanation:

y=3p²-4

\(\sqrt{y}\)=3p-4

-3p=\(\sqrt{y}\)-4

p=\(\sqrt{y}\)-4+3

p=\(\sqrt{y}\)-1

If two notebooks and five pencils cost $2.25. Four notebooks and four pencils cost $3.60 one pencil costs $0.30.

To find the cost of one pencil, we can set up a system of equations based on the given information. Let's assume the cost of one notebook is N dollars and the cost of one pencil is P dollars.

From the first statement, we can write the equation 2N + 5P = 2.25. This equation represents the cost of two notebooks and five pencils equaling $2.25.

From the second statement, we can write the equation 4N + 4P = 3.60. This equation represents the cost of four notebooks and four pencils equaling $3.60.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution.

From the first equation, we can isolate N in terms of P by rearranging it as N = (2.25 - 5P)/2.

Substituting this expression for N in the second equation, we get (4[(2.25 - 5P)/2]) + 4P = 3.60.

Simplifying and solving for P, we find that P = 0.30.

Therefore, one pencil costs $0.30.

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Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

Answer:

w = 60

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

w + 20 is an exterior angle of the triangle , then

w + 20 = w - 10 + w - 30

w + 20 = 2w - 40 ( subtract w from both sides )

20 = w - 40 ( add 40 to both sides )

60 = w

Answer:

w=60°

Step-by-step explanation:

triangle=180°

angle on a straight line=180°

using that,

we need to find the angle on the same line with that of "w+20°" angle, so we name it as "X"

so, 180-(w+20)=X

expand bracket by multiplying it with the "-"

so it'll be: 180-w-20=X

then rearrange to get like terms together

180-20-w=x

160-w=x

so the missing angle in the triangle is now (160-w)°

now using the angles in a triangle =180°

we add all the angles and equate it to 180, so:

w-30+w-10+160-w=180°

collect like terms again:

w+w-w-30-10+160=180

2w-w+120=180

w+120=180

move 120 to the other side and remember the sign changes, so:

w=180-120

therefore w=60°

now you can substitute w=60 into the triangle and see you'll get 180°

hope that helps

Answer:

x - 7

Step-by-step explanation:

just add/substract like terms only

C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.

Answer:

a = -13/35

Step-by-step explanation:

35a + 14 = 1

(given)

_________

35a + 14 = 1

- 14 -14

(subtraction property of equality)

(subtract 14 from both sides to isolate the 35a term)

_________

35a = -13

÷35 ÷35

(division property of equality)

(divide by 35 on both sides to remove the coefficient of 35 in 35a)

_________

a = -13/35

35a+14=1

35a+14 - 14 = 1 - 14

35a= -13

35a= -13

35a = -13

35       35

a= -13/35

Answer:

I think it is none of the choices.

Step-by-step explanation: