luis thinks the slope is 1/2 explain his mistake and give the correct slope

An inclined plane of length 8 m is used to lift the load 2 m, using the same effort.

A ramp that helps lift and lower heavy things is called an inclined plane. It is a flat surface that is positioned against a horizontal surface at an angle other than a right angle.

Work is defined as the use of force to move an object over a distance. It is derived as the product of displacement (d) and force (F). Work is given by W = F×d = 25 N×d.

When a body is lifted, we can express work as W = m×g×h where g is gravity and h is height. And the force is written as F = m×g where m is the mass of an object. Then, W = F×h

Calculating the work done to lift the load to 2 m, we get,

W = 100 N×2 m = 200 Nm.

Substitute this value in W = F×h, we get,

200 Nm = 25 N×d

Divide both sides by 25 N, and we get,

[tex]\begin{aligned}\frac{\mathrm{200\;Nm}}{\mathrm{25\;N}}&=\frac{\mathrm{25\;N\times d}}{\mathrm{25\;N}}\\d&=\mathrm{8\;m}\end{aligned}[/tex]

The value is 8 m. Therefore, the first statement is correct.

The complete question is -

To lift a load of 100 N a distance of 1 m an effort of 25 N must be applied over an inclined plane of length 4 m. What must be done to lift the load 2 m, using the same effort?

A. Use an inclined plane of length 8 m.

B. Use an inclined plane of length 2 m.

C. Use an inclined plane of length 10 m

D. Use an inclined plane of length 16 m.

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5% probability is there that every person ends up with the wrong suitcase.

Given,

Number of people checked in  = 5

Number of suitcases = 5

We have to find the probability that when each person taken a suitcase randomly and it ends up with the wrong suitcase;

Here,

5 people can take 5 suitcases in 5 different ways.

So,

Probability = possible outcomes / original outcome

Probability = 5 x 5 / 5

Probability = 25/5 = 5

That is,

The probability that every person ends up with the wrong suitcase is 5%

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An equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

What is temperature?

The degree to which an object is hot or cold is measured by its temperature.

Formula to calculate temperature in degrees Fahrenheit:

F = 95C+32   --- (1)

The given equation (1) can be used to determine the equation to calculate the temperature in degrees Celsius for a given temperature in degrees Fahrenheit.

To determine equation for degrees Celsius following steps can be used:

Subtract 32 from both sides of the above equation,

F - 32 = 95C + 32 - 32

F - 32 = 95C

95C = F - 32

Divide both sides by 95

C = (F - 32)/ 95

Hence, by using some arithmetic operations, equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit can be determine and it will be:  [tex]C = \frac{F - 32}{95}[/tex].

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Answer:

inverse

Step-by-step explanation:

ed 2023

The probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex].

The likelihood that something will happen is called the probability. the total number of conceivable outcomes. Because there is only one way to receive a head and there are a total of two possible outcomes, the probability of flipping a coin and getting heads is 1 in 2. (a head or tail).

given,

You can find out if someone has extrasensory perception (ESP) by asking them to identify which of the following shapes—a circle, star, triangle, diamond, or heart—appear on a hidden computer screen.

The probability is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

p= P(win) = # of favorable outcomes  /   # of possible outcomes

The distribution is geometric since the variable indicates how many trials must pass before a success.

The distribution is geometric since the variable indicates how many trials must pass before a success.

P( X = k ) = [tex]q^{k-1}p[/tex]

=  [tex](1-p)^{k-1} p[/tex]

Review at k=5

P(X=5) = [tex](1-\frac{1}{5})^{5-1}\frac{1}{5}[/tex]

=[tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]

probability that the person guesses the first 4 first shapes incorrectly but gets the fifth correct is an [tex](\frac{4}{5})^{4}\frac{1}{5}[/tex]

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The solution is, the simplified value is 2107/5 = 421.4.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

given that,

24 3/5 +4^3x(8 1/5 -2)

we have to

Simplify the Equation

With Converting 24 3/5 to a improper fraction

Calculate the Power of 4^3

Then convert 8 1/5 to a improper fraction

Subtract 41/5 and 2 to get 31/5

Then Multiple the product,

64 • 31/5 to get 1984/5

After add the fractions up

123/5 + 1984/5

=2107/5

=421.4

Hence, The solution is, the simplified value is 2107/5 = 421.4.

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We can use the four theorems - SSS, SAS, ASA, AAS - to prove that two triangles are congruent.

To prove that the given triangles are congruent there are some rules, one of which it must satisfy to show that the two are congruent. The four theorems are stated and explained below-

SSS rule: If the 3 sides of both of the given triangles are equal, then the triangles are congruent.

SAS rule: If the 2 sides and one of the three angles of both of the given triangles are equal, then the triangles are congruent.

ASA rule: If 2 of the total three angles and a side (in the middle of the angles)of both of the given triangles are equal, then the triangles are congruent.

AAS rule: If 2 angles and a side(adjacent to the angles) of the given two triangles are equal, then the triangles are congruent.

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Therefore the answer to following is probabilities of following problems are  (a) 0 ,(b) 1 ,(c) 0.01 and (d) 0.6 .

To investigate unpredictability, mathematicians utilize probability. It discusses the possibility (the likelihood) of an event happening. For instance, if you flip a fair coin four times, you might not get two heads and two tails each time.

Here,

(A) The event cannot happen if the probability is zero.

(b) The event is guaranteed to occur if the probability is 1.

(c) An event is very unlikely to happen if the probability is less than 0.01.

(d) The occurrence is more likely to happen if the probability is 0.6. (because the probability is greater than 0.6).

(a) 0

(b) 1

(c) 0.01

(d) 0.6

Therefore the answer to following is probabilities of following problems are  (a) 0 ,(b) 1 ,(c) 0.01 and (d) 0.6

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The total amount the mechanic will need in retirement savings to meet their retirement income goal is 870,000. The correct option is C.

In mathematics, an expression is a combination of numbers, symbols, and operations (such as addition, subtraction, multiplication, and division) that represents a quantity or a value.

Expressions can be very simple, such as a single number or variable, or they can be more complex, such as a combination of multiple terms with different operators.

The mechanic wants to live off 80% of their current annual gross wage, which is:

0.8 x 43,500 = $34,800 per year

The mechanic plans to draw 4% the first year from their retirement savings, which means the total retirement savings needed are:

34,800 / 0.04 = $870,000

Therefore, the answer is C) 870,000.

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Answer:

The values that are solutions to K-3 >-2 are -7 and -5. To solve this inequality, we need to isolate the K term on one side of the inequality. We can do this by subtracting 3 from both sides of the inequality, like this:

K - 3 > -2

K - 3 - 3 > -2 - 3

K > -5

Therefore, the solutions to the inequality K-3 >-2 are all values of K that are greater than -5. This means that the values -7 and -5 are solutions to the inequality, but the other values listed are not.

Step-by-step explanation:

The values of u and v of the given triangles using HL Congruency postulate are;

u = 8 and v = 7

There are different congruency postulates for triangles namely;

SSS which means Side - Side - Side Congruency

SAS which is Side Angle Side Congruency Postulate. The angle is the included angle.

ASA which is Angle Side Angle Congruency Postulate. The side is the included side.

AAS Congruency Postulate. This is Angle Angle Side and the side is the non-included side. The angle is the included angle.

HL Congruency postulate which is Hypotenuse Leg theorem.

Now, we are given two triangles with 2 given sides each and the non - included angle. Thus, this is the Hypotenuse Leg congruency theorem.

Therefore for both triangles to be congruent;

5u = u + 32

4u = 32

u = 8

Similarly;

v + 7 = 2v

2v - v = 7

v = 7

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Answer:

7, 14,21 28

4,8,12,16

Step-by-step explanation:

Answer:

8, 21, 16

Step-by-step explanation:

The ratio from sugar to cups is 7:4, which is 1.75.

Divide and multiply to solve.

14 / 1.75 = 8

12 * 1.75 = 21

28 / 1.75 = 16

a) The expressions are given as follows:

b) The total cost for each present is of:

Hence the present that they can buy with the least amount of money is:

Jewelry.

The costs are found applying the proportions in this problem.

As a function of d, the functions are found multiplying the decimal equivalents of each discount by the cost expression.

The decimal equivalents of each discount are given as follows:

Then the actual costs are calculated replacing the instances of d in each item with the numeric value d = 79.

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Number of games did Carly NOT play is 22.

How to calculate percentage?

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given:

Total number of games = 40

It is given that  she had played in 45 percent of the 40 games the team played.

Number of games she played = 45% of 40

                                                 = [tex]\frac{45}{100}\times 40= 18[/tex]

Number of games she did not play = 40 - 18 = 22

Therefore, number of  games did Carly NOT play is 22.

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Answer: 537 stuffed animals

Step-by-step explanation:

Take 939 - 402 = 537

So she gave away 537 stuffed animals

Answer:

10 groups of 3, 3 groups of 10 and 5 groups of 6

Step-by-step explanation:

Answer:

Do you have a picture of the graph?

Step-by-step explanation:

If so can you pls insert :)

Tt takes 1.5 min of time  to travel a distance of 1 km by bus

Since here we need to find the time, which basically depends on the speed of the bus, as we know the formula we refer to for calculating the time is distance/speed, here we are provided with the distance which is  1km also equal to 1000m. Now considering a normal condition where the speed of  the bus is h 40km per hour, therefore

=>Distance = Speed × Time

=?1km = 40 Km/hr × Time

Time = 1/40 hr = 0.025 hr ,Which is almost 1.5 min

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The probability that at least one is type O is 0.8704.

What is a binomial distribution probability?

A value's likelihood of taking one of two independent values is summarised by the statistical distribution known as the binomial distribution.

Given,  40 % of the population has type O blood and 4 people are randomly selected to be donors

Then, binomial distribution can be given by

X ~ = Binomial(n = 4, p = 0.4)

P(at least one type O)

P[X ≥ 1]

= 1- P[X < 1]

= 1- P[X = 0]

= [tex]1 -C(4,0) * (0.4)^{0} * (1 - 0.4)^{4-0}[/tex]

=1-0.1296

=0.8704

Hence, the probability that at least one is type O is 0.8704.

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Answer: 32 1/18

Step-by-step explanation: So first, I did 1/9 (-1/2) and I got 1/18. Yes although it was negative, when multiplying, it will become positive, then 1 x 1 is 1, and 9 x 2 is 18. Then, when adding it to 32, you get 32 1/18. I hoped this helped!

Step-by-step explanation:

its me ryan , 15 from michigan . Its just that i needed friends . If you want to be my good friend , please do comment below and we can be real good friends. ?

The rate of change of length of his shadow when he is 30ft away from the lamp post is  3 ft/sec .

In the question ,

it is given that ,

the length of the man is = 6 ft ,

le the distance of the man from the base of the lamp post at time "t" is = x

let the length of the shadow at time "t" = y ,

given that dx/dt = 6 ft/sec .

From the figure given ,

In triangle ABC and triangle ADE ,

AB/BC = AD/DE

that is , y/6 = (x+y)/18

after simplification ,

we get ,

2y = x .

differentiating both with respect to "t" ,

we get

2 * dy/dt = dx/dt

Substituting dx/dt = 6  ,

we get ,

dy/dt = 3 ft/sec .

Therefore , the rate of change of the length of the shadow is 3 ft/sec .

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The forward rate for the third year 3.06%

The forward rate is the interest rate applied to future financial transactions. The forward rate is calculated from the spot rate, adjusted for maintenance costs to determine future interest rates that equalize the strategy to extend short-term investments and the total return on long-term investments.

This term can also refer to interest rates charged on future financial obligations, such as interest rates on loan payments.

(n1 – n2) reservation rate calculation number. A few years later n2 no. The number of years of Forward rate = [(1 + S1)n1 / (1 + S2)n2]1/(n1-n2) – 1.

According the question:

S3 = [(1 + S₁) × (1 + F(1,2))²]¹/³ ⁻¹

= [(1 + 2.658%) × (1 + 2.340%)²]¹/³ ⁻¹

= [1.02658 × 11.1556]¹/³ ⁻¹

= (12.18)¹/³ ⁻¹

= 3.06

Therefore, calculation of spot rate for three years will be, 3.06%

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according to the question,

given data in the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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The type of transformation that is equivalent to 2 reflections across intersecting lines is rotation

A slide or a shift is a translation. By executing two composite reflections along parallel lines, translations may be produced. Translations maintain orientation and are isometric.

An isometry is made up of two other isometries. The translation is equal to the combination of two reflections over two parallel lines.

according to the question,

the type of rigid transformation is the equivalent of two across intersecting lines

Rotation is the process of changing the orientation of a shape by mirroring two intersecting line segments.

The intersection of the two reflection lines is the center of rotation.

An isometric drawing is a composite of two isometric drawings. The combination of two reflections on two parallel lines corresponds to translation.

The configuration of the two reflections is either translational or rotational. A translation occurs when a reflection is followed by a parallel reflection. Reflections following reflections from intersecting lines cause rotation

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If the raisin swells to twice its original size, relative to the water, the raisin must have been hypertonic solution.

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Answer:

6.3

Step-by-step explanation:

At the end, the distance to the car will be 17 miles, and the distance that they walked is 13 miles.

We want to find the total distance at which the hikers are at the end.

Notice that each little square represents one mile. And the line ends at two little squares above the marking of 15 miles, then the distance to the car at the end is:

15mi + 2 mi = 17 miles.

We also could want to find the distance they walked on the given graph. To find that, we need to take the difference between the final distance and the initial distance.

The final distance is 17 miles, we already know this, and the initial distance is the y-intercept, which in this case is 4 miles.

Then the distance that they walked is:

D = 17mi - 4mi = 13mi

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Answer:72 lol

Step-by-step explanation: do the math 6 x 2 = 12

6 x 12 = 72

The summary of the ruler placement postulate is: A direct relationship exists between the set of points on the line and the collection of real numbers, where each point is matched to a single real number and   The magnitude of the gap between two points is equal to the absolute value of the subtraction of the two associated values.

The ruler placement postulate states that if two points are given, it is possible to measure the distance between them by taking the point of reference as zero. This means that any point can be chosen as an origin, and the distance between the two points can be calculated by measuring the number of units between them. This postulate also applies to curves, and the distance between two points on a curve can be measured by taking a point of reference as zero and measuring the number of units between them. This postulate is essential in the measurement of distances between points and curves in geometry.

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There are 2times 64 in 151. The answer you divide 151 by 64 which would get you 2.359375. The remainder is 23

none

Step-by-step explanation:

64 is a bigger number so unless I am wrong it should not be able to go into 51.