Substitute the length of the sides (7 in, 25in n)
into the Pythagorean theorem. Then, find the length of the missing side m
(Please with step by step answer)

The requried, 140% is equivalent to 7/5 as a fraction, 1 2/5 as a mixed number, and 2 as a whole number.

To write 140% as a fraction, we first recognize that "percent" means "per hundred," so 140% can be written as the fraction 140/100. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 20:

140/100 = 7/5

To write 7/5 as a mixed number, we divide the numerator by the denominator and express the result as a whole number plus a fraction. In this case:

7 ÷ 5 = 1 with a remainder of 2

So 7/5 can be written as the mixed number 1 2/5.

To write 7/5 as a whole number, we can round it to the nearest whole number. Since 7/5 is greater than 1.5 and less than 2.5, it rounds to 2.

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Answer:

2 11/22

Step-by-step explanation:

35/4 -35/6

35/12

2 11/12

Answer:   36/\(K^{2}\)

Step-by-step explanation:

The k on top will cancel the k to the second power.

So the only number in the numerator is 1.

Then the 1 qill go away because you cant divide anything by 1.

The expoenet -2 that was at the top near K will become positive.

Then distribute

If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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Answer: Its ¨undefined¨ hope this helps !!

Answer: 42

Step-by-step explanation:

1/12 of 72 is 6

6x7 = 42

The Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

What is pyramid ?

 A three-dimensional shape is a pyramid. Flat triangular sides that are joined at a common point known as the apex define the polygonal base of a pyramid. By fusing the bases together at the peak, a pyramid is created. The lateral face, a triangular feature formed by the connection of each base edge to the apex, is present.

Here slant height l = 16cm and sides of the rectangular base is ,

length l = 15cm and width w = 9 cm.

Side length = 9/2 = 4.5cm

Using Pythagorean theorem ,

=> Height h =  \(\sqrt{16^2-4.5^2}\)

=> height h = 15.35 cm

Now volume of pyramid is ,

=> V = 1/3 * Base area * height cubic unit

=> V = 1/3 *15*9*15.35

=> V = 690.75 \(cm^3\)

Hence the Height and volume of the pyramid is ,

i) Height = 15.35cm

ii) Volume= 690.75 \(cm^3\).

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Answer:

B

Step-by-step explanation:

if it was A it would be for a cat

if it was C it would be for a elephant

if it was D it would be for a giant

As a result, the carer will deliver 0.38 mL of methylprednisolone.

Milliliter is what the ml stands for. When pronouncing the characters aloud, the word ml is usually pronounced millilitre. It's good to keep this in mind. Simply imagine to yourself, "l = liquid," whenever you see the small "l".

To determine how many milliliters of methylprednisolone injection the nurse will administer, we need to know the concentration of the medication. Let's assume the concentration is 40 mg/mL.

We can use the following formula to calculate the amount to administer:

Amount (mL) = Dose (mg) / Concentration (mg/mL)

Plugging in the values from the order, we get:

Amount (mL) = 15 mg / 40 mg/mL

Amount (mL) = 0.375 mL

Rounding the answer to the nearest hundredth gives us:

Amount (mL) = 0.38 mL

Therefore, the nurse will administer 0.38 mL of methylprednisolone injection.

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Answer:

46080

Step-by-step explanation:

multiply all of them

Answer: might be 150 sq ft if the problem is of the irregular figure

ANSWER

81 people

EXPLANATION

Let p be the number of people that attend the party.

Under plan A, the inn charges $30 for each person, so the value y of a party for p people is,

Then, under plan B, the cost is $1300 for a maximum of 25 people - this means that if 1 to 25 people attend the party, the cost is the same, $1300. For each person in excess of the first 25 - this means for 26, 27, 28, etc, the inn charges $20 each. The cost for plan B is,

The last part, (p - 25), is the part of the equation that separates the first 25 attendees. This equation works for 25 people or more, but it is okay to solve this problem. Note that for p = 25, the cost for plan A is,

Which is less than the cost of plan B ($1300).

We have to find for what number of people attending the party, the cost of plan B is less than the cost of plan A,

We have to solve this for p. First, apply the distributive property of multiplication over addition/subtract4ion to the 20,

Add like terms,

Now, subtract 20p from both sides,

And divide both sides by 10,

For 80 people, the costs of the plans are,

Both have the same cost. The solution to the inequation was the number of people, p, is more than 80. This means that for 81 people the cost of plan B should be less than the cost of plan A,

For 81 people, plan B costs $10 less than plan A.

Answer:

ok C

Step-by-step explanation:

Answer:

A is a solution because it is in the shaded area.

Step-by-step explanation:

Answer

The interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Explanation

The interval of increase of the function refers to the range of values of the independent variable (x), where the graph is sloping positively, that is, the region of the graph that shows where the dependent variable (y) is increasing.

From the graph, we can see that the graph slopes negatively, that is, the values of y keep decreasing as we move from left to right at values of x less than -2.5, but at the point where x = -2.5, the sloping changes (this point is called the vertex of the graph or function; it is the point where the graph changes from increasing to decreasing or from decreasing to increasing).

We can also see that at values of x greater than -2.5, the graph slopes positively and the values of y increases as we move from left to right.

So, the interval of increase of the given function is x > -2.5.

This can be written in interval form as (-2.5, ∞)

Hope this Helps!!!

Answer:

total income is $200

Step-by-step explanation:

70/.35=200

Using outcome probability, the pointer will land on a vowel about: 320 times.

We are given that:

Spinner is divided into five sections

Labels on spinner are: A, B, C, D, and E

Total number of letters = 5 nos

Number of vowels = 2

Probability of getting A from 50 spins = 10/50 = 0.2

Probability of getting E from 50 spins = 6/50 = 0.12

Thus:

Number of times of getting a vowel in 1000 spins = (0.2 * 1000) + (0.12 * 1000)

= 200 + 120

= 320

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Answer:

B

Step-by-step explanation:

Answer:

Pretty sure you're missing something here. But Im assuming that it's 11/25.

Step-by-step explanation:

Answer:

A. Y=3x+4

Step-by-step explanation:

Answer:f

Step-by-step explanation:

its not that hard

The function is concave up for  x < 1 and concave down for x > 1 because the second derivative is positive for x < 1 and negative for x > 1. As a result, the critical point at x  < 1 is a relative maximum.

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is common to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.

Here,

The derivative of the function f(x) can be found by taking the derivative of the expression e^(-x) (x^2 + 2x) using the product rule:

f'(x) = -e^(-x) (x^2 + 2x) + e^(-x) (2x + 2) = 2e^(-x) - 2xe^(-x) (x + 1)

Setting f'(x) equal to zero and solving for x gives us the critical points:

0 = 2e^(-x) - 2xe^(-x).(x + 1)

2xe^(-x).(x + 1) = 2e^(-x)

x(x + 1) = e^x

x^2 + x - e^x = 0

Next, we determine the concavity of the function at the critical points by analyzing the second derivative of the function:

f''(x) = 2e^(-x) + 2xe^(-x) + 2xe^(-x).(x + 1) - 2e^(-x).(x + 1)

= 2e^(-x).(1 - x)

Since the second derivative is positive for x < 1 and negative for x > 1, the function is concave up for x < 1 and concave down for x > 1. Thus, the critical point at x < 1 corresponds to a relative maximum.

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Answer:

Step-by-step explanation:

given the expression, we are expected to solve for the value of x

\(-(9x-4)+12+18x>79\)

we begin by opening the bracket

\(-(9x-4)+12+18x>79\\\\-9x+4+12+18x>79\\\\\)

collect like terms

\(-9x+4+12+18x>79\\\\-9x+18x+4+12>79\\\\9x+16>79\\\\\)

subtract 16 from both sides

\(9x+16>79\\\\9x>79-16\\\\9x>63\)

divide both sides by 9 we have

\(x>\frac{63}{9}\\\\ x>7\)

the greatest value of x that is not a solution is 7 since x is not equal to 7

10 percent of 300 is 30

3 hours and 10 minutes =190

There would be 40,320 ways can 8 people be arranged on 8 chairs in a row. There are 5,040 ways can 8 people be seated around a circular table. There are  128 committees can be selected from the people if ps has to be the chair of the committee

(a) The number of ways that 8 people can be arranged on 8 chairs in a row is 8! = 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40,320. This is because there are 8 choices for the first chair, 7 choices for the second chair, and so on until there is only one choice for the last chair.

(b) The number of ways that 8 people can be seated around a circular table is (8-1)! = 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040. This is because we can fix one person in one seat and then there are 7 choices for the next seat, 6 choices for the next seat, and so on until there is only one choice for the last seat.

(c) The number of committees that can be selected from the 8 people if Ps has to be the chair of the committee is 2^(8-1) = 2⁷ = 128. This is because there are 7 people left to choose from and each person can either be on the committee or not on the committee, which gives us 2 choices for each person.

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Given :

Martin drinks 1/4 of a litre of juice each day.

Juice costs £3.60 for a 2 litre carton and £2.00 for a 1 litre carton.

To Find :

Martin buys enough juice to last for 2 weeks (14 days).

What is the lowest price Martin can pay for this juice.

Solution :

Amount of litre used in 14 days is :

V = 14× ( 1/4 )

V = 3.5 liter

Lowest price to pay is :

P = 2 × Cost of one 2 L carton

P = £(2 × 3.60)

P = £7.2

The lowest price Martin can pay for this juice is £7.2 .

Hence, this is the required solution.

Answer:

= \(\frac{34}{6561}\)

Step-by-step explanation:

\(= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}\)

Answer:

1/81

Step-by-step explanation:

Part a) The final image formed by the second lens will be located on the opposite side of the lens as the object.

To determine the image distance from the second lens, we can use the lens formula:

1/f = 1/v - 1/u,

where f is the focal length of the lens, v is the image distance, and u is the object distance. Given that the object distance is 35.0 cm and the focal length of the lens is 22.0 cm, we can substitute these values into the lens formula to solve for v. The lens formula can be rearranged to:

v = 1/(1/f + 1/u).

Substituting the values, we have:

v = 1/(1/22 + 1/35) = 1/(0.0455 + 0.0286) ≈ 1/0.0741 ≈ 13.5 cm.

Therefore, the image distance from the second lens is approximately 13.5 cm.

Part b) The total magnification of the system is given by the product of the individual magnifications of each lens. The magnification of a lens can be calculated using the formula:

magnification = -v/u,

where v is the image distance and u is the object distance. For the first lens, the object distance is 35.0 cm and the image distance is the distance between the lenses, which is 16.5 cm. Therefore, the magnification of the first lens is:

magnification_1 = -16.5/35.0.

For the second lens, the object distance is the distance between the lenses, which is 16.5 cm, and the image distance is 13.5 cm (as calculated in part a). Therefore, the magnification of the second lens is:

magnification_2 = -13.5/16.5.

The total magnification is the product of these two magnifications:

total magnification = magnification_1 * magnification_2.

Substituting the values, we have:

total magnification = (-16.5/35.0) * (-13.5/16.5) ≈ 0.706.

Therefore, the total magnification is approximately 0.706.

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A positive divided by a negative always results in a negative quotient.

Let's use the example 8 / (-2) again. We can write this expression as:

8 / (-2) = 8 / (-1) * 2

We can then simplify the expression on the right-hand side by multiplying -1 and 2, which gives us:

8 / (-1) * 2 = -8 / 2

Now, we can divide 8 by 2, which gives us:

-8 / 2 = -4

So we see that the quotient is negative.

We can generalize this to any positive number divided by a negative number. Let's say we have a positive number a and a negative number -b. We can write the expression as:

a / (-b) = a / (-1) * b

Multiplying -1 and b gives us:

a / (-1) * b = -a / b

So we see that the quotient is negative, since -1 times b is negative, and dividing a positive number by a negative number results in a negative quotient.

Therefore, we can conclude that when a positive number is divided by a negative number, the result is always negative.

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Answer:

Step-by-step explanation:

The answer is D

Answer:

The function rule for this set of ordered pairs is y = 2x + 1.

This can be determined by using the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) can be calculated by using the formula:

m = (change in y) / (change in x)

For the ordered pair (1, 3) and (3, 7), we can see that change in x = 3 - 1 = 2 and change in y = 7 - 3 = 4, so m = 4/2 = 2.

Then, using any of the point we can find the b which is y-intercept. let's take the point (-2, -3) and substitute the values in the function y = 2x + b

-3 = 2(-2) + b

-3 = -4 + b

b = 1

So, the function rule is y = 2x + 1

The correct option is (C) The graph of Function g is a transformation of the parent cosine function such that g(x) = 3 cos(x + 2) + 1 as it the graph of cosine function.

The ratio between the adjacent side and the hypotenuse is known as the cosine function (or cos function) in triangles. One of the three primary trigonometric functions, cosine is the complement of sine (co+sine) and one of the three main trigonometric functions.

A graph is a structure that resembles a set of objects in mathematics, more specifically in graph theory, in which some pairs of the objects are conceptually "related." The objects are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Option (C) gives a graph of the parent cosine function is transformed into function g such that g(x) = 3 cos(x + 2) + 1 on the cosine function graph.

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Answer:

see photo

be sure to look closely, the top curves go to 4 and the bottom goes to -2, there are 2 with this same shape but the other one does not go high enough.

Step-by-step explanation:

Plato/Edmentum

Answer:

figure: parallelogram

area formula: base× height

A=bh

A= 13×6

A=78

Step-by-step explanation:

Opposite sides of a parallelogram are congruent.: AD=BC

DC=AB