Jennifer solved 27 problems, which is 3 11 of all the problems in her homework. How many problems are in her homework? find the number

1. The first write-up is missing an equal sign before the 16 in the first line. The second line should be x² + 6x - 16 = 0 (instead of x² + 6x _ 16 = 0). The last line has an error in the second solution, where it says x = -8_ instead of x = -8.

2. In the second write-up, the equation should be 12 - 2x = x + 10 (instead of 12 _ 2x = x + 10). The sign error also carried over to the next line, where it should be x² - 3x - 10 (instead of x2 _ 3x _ 10). The correct solutions are x = 5 and x = -2 (instead of 5 and _2).

3. In the third write-up, there is a calculation error in the expansion of (7+2y)(y² + Sy - 6). The correct answer is 2y³ + 17y² - 23y - 42 (instead of 2y³ + l7y2 + 23y - 42).

4. In the fourth write-up, there is an incomplete sentence that is cut off.

5. In the fifth write-up, the inequality should be Va > a for all a > 1 (instead of Va < a for all a > 1). The last line is missing an explanation of how Va+3 is less than (a+3) in order to justify the inequality (Va+ 3)² < (a+3)².

The write-ups that provided are about different topics in mathematics, including algebra, calculus, and number theory.

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Answer:

Step-by-step explanation:

To determine the number of ways to select 3 men and 2 women for a committee from a union chapter consisting of 6 men and 4 women, we can use the concept of combinations.

The number of ways to select 3 men from 6 men is given by the combination formula: C(6, 3) = 6! / (3! * (6 - 3)!) = 20.

Similarly, the number of ways to select 2 women from 4 women is given by the combination formula: C(4, 2) = 4! / (2! * (4 - 2)!) = 6.

To obtain the total number of ways to select 3 men and 2 women for the committee, we multiply these two combinations together: 20 * 6 = 120.

Therefore, there are 120 ways to select 3 men and 2 women for a committee from the given union chapter.

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Answer:

The answer is 2,000,000,000

Step-by-step explanation:

I hope this helped

Answer:

8.417

Step-by-step explanation:

The amount of 101 inches is equal to 8.4167 feet.

To convert inches to feet, we divide the number of inches by 12, since there are 12 inches in 1 foot.

As 1 foot= 12 inches

Therefore, to convert 101 inches to feet, we divide 101 by 12:

= 101 inches / 12 inches/foot

= 8.4167 feet

So, 101 inches is equal to 8.4167 feet.

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The online version, because the downloaded version usually requires better equipment than the online version.

The online version of the graphic design software is likely the better option for the student using a weak computer. This is because the online version typically runs on the software provider's servers, rather than on the user's computer.

Therefore, the online version does not require as much processing power or memory from the user's computer, making it more accessible to those with weaker or older machines.

Additionally, the online version may also have the advantage of automatic updates, so the student can always have the latest version of the software without needing to manually download and install updates.

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The correct radius of the cylinder is given by: Option B: 3.04 cm

The formula for the volume of a cylinder is given by the formula:

V = πr²h

where:

V is volume

r is radius

h is height

We are given the parameters as:

Height: h = 12.25 cm

Volume: V = 355 cm³

Thus:

355 = π * r² * 12.25

r² = (355)/(12.25π)

r² = 9.2245

r = √9.2245

r = 3.04 cm

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Answer:

Well they are all equal sides so it could really be anything that's an even number ranging from 10-20, hope this helped and good luck on your test! :D

Step-by-step explanation:

Answer:

47°

Step-by-step explanation:

The given angle and its complement sum to 90°, thus

complement = 90° - 43° = 47°

The flow graph will have arrows indicating the flow of data and processing at each stage. At each stage, we will mark the scalar values, the output of the two-point DFTs, the output of the four-point DFTs, and the final outputs of the eight-point DFT.

To sketch the flow graph of the complete decimation-in-time decomposition for the given length-8 sequence x[n] = {1, 0, 2, 0, 4, 0, 1, 0}, we will follow the steps of the decimation-in-time algorithm for the Fast Fourier Transform (FFT).

1. Start with the input sequence x[n].

2. Split the sequence into two branches, each handling alternate samples.

3. Apply a two-point DFT to each branch, resulting in two outputs.

4. Split each branch again into two branches, now handling four samples each.

5. Apply a four-point DFT to each branch, resulting in four outputs.

6. Repeat step 4 for each of the four branches, splitting them into two branches each, now handling two samples each.

7. Apply an eight-point DFT to each branch, resulting in eight outputs.

8. Combine the eight outputs to obtain the final outputs of the eight-point DFT.

The flow graph will have arrows indicating the flow of data and processing at each stage. At each stage, we will mark the scalar values, the output of the two-point DFTs, the output of the four-point DFTs, and the final outputs of the eight-point DFT.

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$2,240.75

Step-by-step explanation:

just multiply each tune up price by the amount she worked on within that week and add them all up

The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.

To calculate the charges for the week, we need to find the total cost for both oil changes and tune-ups.

Charges for Oil Changes:

Charlene did 35 oil changes, and each oil change costs $33.95. So the total charges for oil changes can be calculated as follows:

Total charges for oil changes = Number of oil changes * Cost per oil change

Total charges for oil changes = 35 * $33.95

Total charges for oil changes = $1183.25

Charges for Tune-ups:

For the tune-ups, she serviced 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines. Let's calculate the total charges for each type of engine and then add them together.

Total charges for four-cylinder engine tune-ups = 5 * $72.50 = $362.50

Total charges for six-cylinder engine tune-ups = 7 * $82.50 = $577.50

Total charges for eight-cylinder engine tune-ups = 2 * $92.50 = $185.00

Total charges for all tune-ups = $362.50 + $577.50 + $185.00 = $1125.00

Total Charges for the Week:

Now, let's find the total charges for the entire week by adding the charges for oil changes and tune-ups:

Total charges for the week = Total charges for oil changes + Total charges for all tune-ups

Total charges for the week = $1183.25 + $1125.00 = $2308.25

The charges for the week, including 35 oil changes and tune-ups for 5 four-cylinder engines, 7 six-cylinder engines, and 2 eight-cylinder engines, amount to $2308.25.

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In order to ascertain the relative frequency of an event in a dataset, one must obtain the fraction or decimal representing the ratio of its occurrence relative to the entire number of events by dividing the number of times that event happened within the dataset by the total sum of events it contains. Here is how to get this result:

Step 1: Count the amount of times the particular event transpired throughout the dataset.

Step 2: Estimate the cumulative amount of events in the dataset.

Step 3: Divide the former amount (from Step 1) through the latter (obtained from Step 2).

Step 4: Multiply the conclusion affixed in Step 3 by 100 to acquire the percentage of times the specified event happened in relativity to the overall number of events.

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Relative frequency of middle school students who own a smartphone:

(280 smartphone owners / 400 total middle school students) * 100 = 70%

Overall, 1000 individuals were surveyed and 700 of them owned a smartphone.

Out of the 300 elementary schools, students asked, 120 possessed a phone - equating to 40%.

Additionally, as 280 from the 400 middle schoolers examined admitted to owning a smartphone, 70% could be said to.

Therefore, these outcomes allow for the following determinations:

a. Relative frequency of people surveyed who own a smartphone:

(700 smartphone owners / 1000 total people surveyed) * 100 = 70%

b. Relative frequency of elementary school students who own a smartphone:

(120 smartphone owners / 300 total elementary students) * 100 = 40%

c. Relative frequency of middle school students who own a smartphone:

(280 smartphone owners / 400 total middle school students) * 100 = 70%

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Answer:

A. Marissa jogged 5 miles on the first day.

D. Marissa jogged 3 miles on the fourth day.

E. Marissa jogged 3 miles on the ninth day.

Step-by-step explanation:

Edge 2021

Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In this we have to observe the graph and say which alternatives are correct, so we have:

The alternatives A,D and E

then looking at the graph, we can see that the following facts are indicated:

Marisa jogged 5 miles on the first day.

Marisa jogged 3 miles on the second day.

Marisa jogged 4 miles on the third day.

Marisa jogged 3 miles on the fourth day.

Marisa jogged 3 miles on the ninth day.

Hence, Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

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The width of the rectangular box will be 8cm

Given that the formula for calculating the volume of a rectangular box is expressed as:

\(V=lwh\)

L is the length

w is the width

h is the height

Get the "value of "w

\(V = lwh\\w=\frac{V}{lh}\)

Given the following parameters

Length l = 3 cm

Volume V = 120cm³

Height = 5cm

Get the width of the box as shown:

\(w=\frac{V}{lh}\\w=\frac{120}{3\times 5}\\w=\frac{120}{15}\\w= 8cm\)

Hence the width of the rectangular box will be 8cm

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Answer:

I think its C

Step-by-step explanation:

Thomas is 49 years old.

What is equation?

Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

Given:

Huilan is 11 years older than Thomas.

The sum of their ages is 109.

We have to find the Thomas's age in years.

Let x be the Thomas age.

Then the age of Huilan is x + 11.

As the sum of their ages is 109.

⇒ x + (x + 11) = 109

         2x + 11 = 109

               2x = 98

                 x = 49

Hence, Thomas is 49 years old.

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The directional derivative of a function f(x, y) at a point (a, b) in the direction of a unit vector u = ⟨cosθ, sinθ⟩ is given by the dot product of the gradient of f at (a, b) and the unit vector u.

That is, D_uf(a, b) = ∇f(a, b) · u

Here, f(x, y) = xy^3 - x^2, so ∇f(x, y)

= ⟨y^3 - 2x, 3xy^2⟩.

At the point (1, 4), we have ∇f(1, 4) = ⟨60, 192⟩.

The direction indicated by the angle theta = π/3 is u = ⟨cos(π/3), sin(π/3)⟩ = ⟨1/2, √3/2⟩.

Therefore, the directional derivative of f at (1, 4) in the direction of u is:

D_uf(1, 4) = ∇f(1, 4) · u

= ⟨60, 192⟩ · ⟨1/2, √3/2⟩

= 60/2 + 192(√3/2)

= 30 + 96√3

So the directional derivative of f at (1, 4) in the direction of θ = π/3 is 30 + 96√3.

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Answer:

100%-25%

Step-by-step explanation:

100%-25%=75%

hoped that helped

Answer:

A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:

(Miles/hour) * (hours) = miles

So we can just plug in the values…

65 * 5 = 325

Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.

Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."

Answer:

65

Step-by-step explanation:

If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.

The missing statements are:

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

Given:

LQ || NP

So, In Δ LMQ and ΔPMN

LQ || NP (given)

<Q = <N (Alternate interior angle)

<L = <P (Alternate interior angle)

So, Δ LMQ and ΔPMN is similarity by AA similarity Criteria.

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Answer:

you didnt give a clear question

Step-by-step explanation:

wth

a. A tea bag is considered small if it weighs less than 2.626 grams.

b. The probability that it weighs at least 2.25 grams is 17.07%.

The probability of an event occurring is defined by probability. There are many instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

(a) Let X be the weight of a tea bag. Then X ~ N(3.5, 0.53²). We want to find the value of w such that P(X < w) = 0.052. Using the standard normal distribution, we have:

(P(X < w) - P(X < 3.5)) / 0.53 = z

where z is the 0.052 quantile of the standard normal distribution. Using a standard normal table or calculator, we find that z ≈ -1.645. Substituting the values and solving for w, we get:

(w - 3.5) / 0.53 = -1.645

w - 3.5 = -0.874

w ≈ 2.626

Therefore, a tea bag is considered small if it weighs less than 2.626 grams.

(b) We want to find P(X ≥ 2.25 | X < 2.626), which is the conditional probability that a selected tea bag weighs at least 2.25 grams given that it is small. Using the properties of the normal distribution, we have:

P(X ≥ 2.25 | X < 2.626) = P((X - 3.5) / 0.53 ≥ (2.25 - 3.5) / 0.53 | (X - 3.5) / 0.53 < (2.626 - 3.5) / 0.53)

= P(Z ≥ -2.358 | Z < -1.566)

where Z is a standard normal random variable. Using a standard normal table or calculator, we find that:

P(Z ≥ -2.358) ≈ 0.990

P(Z < -1.566) ≈ 0.058

Therefore, P(X ≥ 2.25 | X < 2.626) ≈ 0.990 / 0.058 ≈ 17.07%.

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Answer:

x+y=-1

2x+2y=8

the correct answer is B

A 403(b) retirement plan is classified as an asset.

The definitions for each of assets and liabilities are presented as follows:

Hence one example of each is given as follows:

In the context of this problem, a 403(b) is a retirement plan, hence it is classified as an asset instead of a liability.

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Answer:

76 the pattern goes in 12s every two years

Step-by-step explanation:

64 plus 12 is 76

Answer:

0$ or 3$

Step-by-step explanation:

If you are saying right now, then the answer would be zero. But, when we start, we can make and equation. Let's use J as John, A as Allen, and F and Frank. They all have n amount of money. Now, we work backwards: If A didn't give F 2$, then F now has n-2 and A has n+2. If J didn't give A 5$, then J would have n+5 and A would have n+2-5=n-3. The difference between those two is 8. Therefore, John has 8$ more.

Answer:

yes

Step-by-step explanation:

Answer:

ihnc

Step-by-step explanation:

ihnc

Answer:

The answer is D - Use distance formula to verify that each vertex is equidistant from the incenter.

Step-by-step explanation:

I know because I just toke the test and got it right.

The correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.

To simulate a variable uniformly distributed between 100 and 200 using a random number x between 0 and 1, you can use the formula:

Variable = 100 + (200 - 100) * x

Let's break down the formula:

a. 100 + x: This will give a variable that ranges from 100 to 101, not between 100 and 200.

b. 200 - x: This will give a variable that ranges from 199 to 200, not between 100 and 200.

c. 100 + 100x: This formula is correct and will give a variable that ranges from 100 to 200, with x ranging from 0 to 1.

d. 200x: This formula will give a variable that ranges from 0 to 200, not between 100 and 200.

Therefore, the correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.

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To find the lateral area of a pentagonal pyramid, you need to calculate the sum of the areas of the five triangular faces that make up the sides of the pyramid.

The formula for the lateral area of any pyramid is given by L = (1/2)Pl, where P represents the perimeter of the base and l represents the slant height of each triangular face.

In the case of a pentagonal pyramid, the base is a pentagon, which means it has five sides. To calculate the perimeter of the base, you can add the lengths of all five sides. Once you have the perimeter, you need to find the slant height, which is the distance from the apex (top) of the pyramid to the midpoint of any side of the base triangle.

Once you have the perimeter and slant height, you can substitute these values into the formula L = (1/2)Pl to calculate the lateral area of the pentagonal pyramid.

It's important to note that the lateral area only considers the surface area of the sides of the pyramid, excluding the base. If you want to find the total surface area, you need to add the area of the base as well.

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