A cart weighing 200 pounds rests on an incline at an angle of 40 degrees. what is the required force to keep the cart at rest? round to the thousandths place

a) 128.558 pounds
b) 133.388 pounds
c) 149.023 pounds
d) 153.208 pounds

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

The scale factor of the dilation transformation of the pre-image triangle ΔDEF to the image ΔD'E'F', with the origin as the center of dilation is 3.

A dilation transformation is one in which the lengths of the sides of the pre-image are scaled up by a common factor to get the lengths of the sides of the image.

The coordinates of the vertices of the triangle ΔDEF are;

D(1, 5), E(1, 2), F(3, 2)

The length of the sides of triangle ΔDEF, making use of the difference between the non equal coordinate points, are;

DE = 5 - 2 = 3

EF = 3 - 1 = 2

The length of the side DF can be found using the formula for the distance between two points on the coordinate plane (a form of the Pythagorean Theorem), which is presented as follows;

DF = √((3 - 1)² + (2 - 5)²) = √(2² + (-3)²) = √(13)

The coordinates of the vertices of triangle ΔD'E'F' are; D'(3, 15), E'(3, 6), F'(9, 6)

Therefore; D'E' = 15 - 6 = 9

E'F' = 9 - 3 = 6

D'F' = √((9 - 3)² + (6 - 15)²) = √(6² + (-9)²) = √(9 × 13) = 3·√(13)

The scale factor, s.f. = The ratio of the corresponding sides of the triangles which is found as follows;

D'E'/DE = 9/3 = 3

E'F'/EF = 6/2 = 3

D'F'/DF = 3·√(13)/√(13) = 3

s.f. = D'E'/DE = E'F'/EF = D'F'/DF = 3

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Answer: A. The ratio 1:5 is less than 3:10

Step-by-step explanation:

She purchases 4/3 times as many oranges as apple

In a ratio, the numbers represent the relative quantities of two different things. In this case, the ratio is 3:4, indicating the relationship between the number of apples and the number of oranges Mrs. Vega purchases.

To understand how many times as many oranges as apples she purchases, we can compare the quantities directly. For every 3 apples, she purchases 4 oranges.

To calculate the ratio between oranges and apples, we divide the number of oranges by the number of apples. In this case, it would be 4/3, which is equal to 1.33.

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(A+B)′(C+D+E)′+(A+B)′ simplified to (A+B)′

AB+ABC+ABCD+ABCDE+ABCDEF simplified to AB

To simplify the expression (A+B)′(C+D+E)′+(A+B)′, we notice that both terms have the factor (A+B)′ in common. By factoring it out, we get (A+B)′[(C+D+E)′+1]. The term (C+D+E)′+1 can be simplified to 1, since any expression ORed with 1 evaluates to 1. Therefore, the expression reduces to (A+B)′.

The expression AB+ABC+ABCD+ABCDE+ABCDEF can be simplified by observing that each term contains the factor AB. By factoring out AB, we get AB(1+C+CD+CDE+CDEF). Similar to the previous step, the terms within the parentheses can be simplified to 1, resulting in AB(1), which is equivalent to AB.

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(Just and Example so it'll kinda explain it.)

Example A

How many ways can 5 students sit in a row?

Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.

5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.

More Guidance

The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.

To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.

Answer:

2/3 cups

Step-by-step explanation:

The recipe calls for 2/4 cup of onion and 1/6 cup of celery. To find the total, we need to add the two fractions together; the amount of onions(2/4 cup or 1/2 a cup if simplified), and the amount of celery(1/6). To do this, we need to find a common denominator. We can do this buy finding a common multiple between 2 and 6.

Multiples of 2: 2, 4, 6, 8, 10, 12...

Multiples of 6: 6, 12, 18, 24, 30...

A common multiple is 6. 1/2x3/3=3/6 <--- an equivalent fraction of 1/2

Now both fractions have the same denominator:

Onions: 3/6

Celery: 1/6

3/6+1/6 = 4/6

4/6 simplifies to 2/3.

The total amount of celery and onion need for the soup is 2/3 cup

Answer:

2/3 cups

Step-by-step explanation:

Answer:

6x-10

Step-by-step explanation:

2(3x-5)

6x-10

Answer:

-30

Step-by-step explanation: 2 threetimes takeawyfive

Given: After taking the first exam, 15 of the students dropped the class.

Required: To determine whether the given value is a statistic or a parameter.

Explanation: Parameter and statistic are very similar. The parameter is when the complete data of the population is presented. The statistic is when a particular data is used for fraction of the population.

Since it is given that among all the students in the class 15 students dropped out. Hence the given data is Parameter.

Final Answer: Parameter.

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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To compute P(0.5 ≤ x ≤ 1) using the given cumulative distribution function (cdf), we subtract the cdf value at x = 0.5 from the cdf value at x = 1.

The cumulative distribution function (cdf) is defined as F(x) = P(X ≤ x), where X represents the random variable. In this case, the cdf is given by:

F(x) =

0, if x < 0,

\(x^2\)/4, if 0 ≤ x < 2,

1, if x ≥ 2.

To compute P(0.5 ≤ x ≤ 1), we need to evaluate F(1) - F(0.5). Plugging in these values into the cdf, we have:

F(1) =\(1^2\)/4 = 1/4,

F(0.5) = \(0.5^2\)/4 = 0.0625.

Therefore, P(0.5 ≤ x ≤ 1) = F(1) - F(0.5) = 1/4 - 0.0625 = 0.1875.

Hence, the probability of the checkout duration falling between 0.5 and 1 is 0.1875.

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Answer:

Step-by-step explanation:

\((5x)^4=5x*5x*5x*5x=625x^4\\(-4xy)^2=-4xy*-4xy=16x^2y^2\\-4(xy)^2=-4*xy*xy=-4x^2y^2\\5x^4=5*x*x*x*x\\left~over -16x^2y^2\)

Answer:

1/4

Step-by-step explanation:

when k=99

=>99=100-4n

=>4n=100-99

=>4n=1

=>n=1/4

Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.

A method of determining a function's derivative is differentiation. Mathematicians use the technique of differentiation to determine the instantaneous rate of change in a function based on one of its variables. The most typical example is velocity, which is the rate at which a distance changes in relation to time.

Here,

ΔABC & ΔDBE

=> AC/DE = BC/BE

=> h/6 = 20 /20-x

=> h = 120/20-x

Differentiate w.r.t  to t

=> dh/dt = \(\frac{120}{{(20-x)}^{2} }\) * dx/dt

given the man is walking towards wall at the rate of 5 ft/s

thus, dx/dt =5 ft/s

=>dh/dt =  \(\frac{120}{{(20-5)}^{2} }\) * 5

=>dh/dt =  8/3 ft /sec

Therefore , the speed of shadow moving down the wall when he is 5 feet from the wall is 8/3 ft/sec.

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Answer: So the answer is BStraight lines are produced by linear functions. That means that a straight line can be described by an equation that takes the form of the linear equation formula thats one thing i found online

Step-by-step explanation: use this formula y=mx +b/. Here's one more thing that can be useful; The graph below represents any line that can be written in slope intercept form. It has two slider bars that can be manipulated. The bar labeled m lets you adjust the slope, or steepness, of the line. The bar labeled b changes the y-intercept. Try sliding each bar back and forth, and see how that affects the line.

Answer:

Henry

Step-by-step explanation:

Henry is wrong before in the second step he didn't distribute properly. He multiply 5 · x but didn't multiply 5 · -2

Answer:

pretty sure its -2,3 :)

Step-by-step explanation:

Answer:

(-2,3)

Step-by-step explanation:

Coordinates of Points

A point is the basic relationship displayed on a graph. Each point is defined by a pair of numbers containing two coordinates.

A coordinate is one of a set of numbers used to identify the location of a point on a graph.

Identifying the x-coordinate

The x-coordinate of a point is the value that tells you how far from the origin the point is on the horizontal, or x-axis. To find the x-coordinate of a point on a graph:

- Draw a straight line from the point directly to the x-axis.

- The number where the line hits the x-axis is the value of the x-coordinate.

Identifying the y-coordinate

Now that you know how to find the x-coordinate of a point, you have to be able to find the y-coordinate.

The y-coordinate of a point is the value that tells you how far from the origin the point is on the vertical, or y-axis. To find the y-coordinate of a point on a graph:

- Draw a straight line from the point directly to the y-axis.

- The number where the line hits the axis is the value of the y-coordinate.

Notation for Identifying Points

Once you have the coordinates of a point you can use the ordered pair notation for labeling points. The notation is simple. Points are identified by stating their coordinates in the form of (x, y). Note that the x-coordinate always comes first.

The magnitude of his displacement is 77.221952836296 m

In this question,

A baseball player hits a triple and ends up on third base.

A baseball "diamond" is a square, each side of length 25.740650945432 m, with home plate and the three bases on the four corners.

We need find the the magnitude of his displacement.

The magnitude of his displacement is the distance from home plate to the third base.

the distance from home plate to the third base is

= 3 × 25.740650945432

= 77.221952836296 m

Therefore, the magnitude of his displacement is 77.221952836296 m

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Answer:

sorry wont let me click off this question so so so sorry

Step-by-step explanation:

hope u do really well

Answer:

B

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Answer:

3.00

Step-by-step explanation:

Since three is a whole number, that means it would be in front of the decimal.

Answer:

(3,-9)

Step-by-step explanation:

The given equations are :

−5x−3y=12 (1)

y=x−12 ....(2)

Put the value of y from equation (2) in equation (1)

−5x−3(x-12)=12

-5x-3x+36 = 12

Taking like terms together

-5x-3x = 12-36

-8x = -24

x = 3

Put the value of x in equation (2)

y=3−12

y = -9

Hence, the solution of the above equations is x = 3 and y = -9 or (3,-9).

Confidence intervals of treatment effects estimation in panel data models with interactive fixed effects A confidence interval (CI) is an interval estimate for an unknown parameter.

The most commonly used level of confidence is 95 percent, although other levels of confidence can also be used. The range is calculated from a given set of sample data using a statistical method. In this case, we are looking at confidence intervals of treatment effects estimation in panel data models with interactive fixed effects.

Panel data models with interactive fixed effects are commonly used in economics to analyze the effects of treatments on outcomes over time. These models account for both individual-level and time-level variation, and they can be used to estimate treatment effects more accurately than other types of models.

In addition, panel data models with interactive fixed effects allow for the estimation of fixed effects that vary by individual and time, which can provide important insights into the dynamics of treatment effects over time.

However, several methods have been developed to estimate confidence intervals for treatment effects in panel data models with interactive fixed effects. These methods typically involve bootstrapping or simulation techniques that account for the correlation structure of the data.

Overall, the estimation of confidence intervals for treatment effects in panel data models with interactive fixed effects is an important area of research that has the potential to improve the accuracy of treatment effect estimates in economics and other social sciences.

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Answer:

g. 8\(\sqrt{2}\)

Step-by-step explanation:

since it's a 45 45 90 triangle, both the legs are the same (8) and the hypotenuse(y) would be 8 rad 2 :)

Ileana  have to invest for 8 years :

Simple interest is a simple and straightforward formula for figuring out how much interest will be charged on a loan. Simple interest is calculated by dividing the daily interest rate by the principle and the number of days between payments.

The principal amount must be multiplied by the time, interest rate, and time period in order to calculate simple interest. Simple Interest = Principal x Interest Rate x Time is the written formula.

Principal amount = $15,500

interest = $5,084

Time = ?

Rate = 4.1% simple interest

to find the simple interest :

                                         I = \(\frac{(p*t*r)}{100}\)

       Then:

         Time = \(\frac{I*100}{P*R}\)

                  = \(\frac{(5084*100)}{(15500*4.1)}\)

                  = \(\frac{508400}{63,550}\)

                  = 8 years

Ileana  have to invest for 8 years

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Answer:

The two graphs are perpendicular

Step-by-step explanation:

The slope of the first one is the reciprocal of the second. Also I graphed it.

Answer:

$19.35

Step-by-step explanation:

129 x .15 = 19.35