need answer to 22 which statement can be assumed from the figure

Answer:

41 3/10

Step-by-step explanation:

solved with wolfram alpha.

Answer:

31

Step-by-step explanation:

Let x and (x + 1) be the page numbers Josiah can see

Hint 1: x(x + 1) = 930

⇒ x² + x = 930

⇒ x² + x - 930 = 0

Using quadratic formula,

[tex]x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}[/tex]

a = 1, b = 1 and c = -930

[tex]x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\[/tex]

[tex]x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30[/tex]

Sice x is a page number, it cannot be negative

⇒ x = 30 and

x + 1 = 31

The two pages Josiah can see are pg.30 and pg.31

Hint 2: The page he is reading is an odd number

Out of the pages 30 and 31, 31 is an odd number

Thereofre, Josiah is reading page 31

Answer:

17[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{ab}[/tex] ⇔ [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex]

simplifying the given radicals

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

-----------------

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

------------------

Then

5[tex]\sqrt{45}[/tex] + 3[tex]\sqrt{20}[/tex] - 4[tex]\sqrt{5}[/tex]

= 5(3[tex]\sqrt{5}[/tex]) + 3(2[tex]\sqrt{5}[/tex]) - 4[tex]\sqrt{5}[/tex]

= 15[tex]\sqrt{5}[/tex] + 6[tex]\sqrt{5}[/tex] - 4[tex]\sqrt{5}[/tex] ← collect like radicals

= 21[tex]\sqrt{5}[/tex] - 4[tex]\sqrt{5}[/tex]

= 17[tex]\sqrt{5}[/tex]

Answer:

A ratio results from dividing one quantity by the other to compare two similar quantities. Two quantities must have the same units to be compared. By transforming two ratios into like fractions, you can compare them. The two given ratios are said to be equivalent if their fractions are equal.

Step-by-step explanation:

Answer:

A ratio compares two numbers by dividing one number by the other. The numbers may or may not be fractions.

Answer:

Apologies for the confusion. Let's solve the equation correctly:

75 + (4x + 1) = 180

To simplify, we need to remove the parentheses:

75 + 4x + 1 = 180

Combine like terms:

4x + 76 = 180

Now, we want to isolate the variable term by subtracting 76 from both sides:

4x = 180 - 76

4x = 104

Finally, divide both sides by 4 to solve for x:

x = 104/4

x = 26

So the solution to the equation is x = 26.

Step-by-step explanation:

Answer:

if you are solving for X, then the answer is 26.

Step-by-step explanation:

75+(4x+1)=180

First subtract 75 from both sides

4x+1=105

Since there is nothing to be distributed using the parenthesis, you can remove them.  Next, subtract 1 from both sides.

4x=104

Divide 4 from both sides to isolate X

x=26

hope this helps

Answer: MP

Step-by-step explanation:

Parallel lines are lines that are side by side and can go on infinitely without meeting or touching.

In this case, it's MP.

[tex]{\huge{\pink{\bold{\underline{\mathbb{Answerメ}}}}}}[/tex]

Let's say the total number of pages in the book is "x".

According to the problem, John has read 1/5th of the book, which means he has read (1/5)*x pages.

If he reads further 40 pages, he would have read 7/10th of the book, which means he has read (7/10)*x pages.

We can set up an equation to solve for "x":

(1/5)*x + 40 = (7/10)*x

Multiplying both sides by 10 to eliminate the denominator:

2x + 400 = 7x

Subtracting 2x from both sides:

400 = 5x

Dividing both sides by 5:

x = 80

Therefore, the total number of pages in the book is 80.

John has read (1/5)*80 = 16 pages.

If he reads further 40 pages, he would have read 0.7*80 = 56 pages.

So, the number of pages left to be read is:

80 - 16 - 40 = 24 pages.

hope it helps you

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Answer:

24 pages are left to be read.

Step-by-step explanation:

(Let x = the total number of pages in the book.)

John read [tex]\frac{1}{5}[/tex] of all the pages of the book. Therefore, the number of pages he read is [tex]\frac{1}{5}[/tex]x.

If he reads further 40 pages, he would have read [tex]\frac{7}{10}[/tex] of all the pages. Therefore, the number of pages he would have read is [tex]\frac{7}{10}[/tex]x.

We can write this as an equation:

Solving for x:

Subtracting [tex]\frac{2}{10}[/tex]x from each side gives:

Therefore, the total number of pages in the book is 80.

Now we can calculate how many pages are left to be read:

So, there are 24 pages left to be read.

Answer: *11* is the correct answer.

Step-by-step explanation:

To find *range*, use the *formula*,

 *Range= Highest value - Lowest value*

From the given data, we can see that, the *highest value* is *13* and *lowest value* is *2*. So, *13-2=11*.



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To determine  95% confidence of the range of hours per week that all Wayne State University (WSU) students spend working on their assignments:

What is Confidence Interval?

Confidence Interval is equal to the mean minus the standard deviation divided by the sample size.

We must compute the Z-score with a 95% confidence level because the sample size is 324 and the standard deviation is 2 hours. The Z-score for a 95% confidence interval is roughly 1.96.

Using the formula, we can calculate the confidence interval:

Confidence Interval = 30 ± (1.96 * (2 / √324))

Confidence Interval = 30 ± (1.96 * (2 / 18))

Confidence Interval = 30 ± (1.96 * 0.1111)

Confidence Interval ≈ 30 ± 0.218

Therefore, a 95% confidence interval estimate for the number of hours per week that all WSU students spend working on their projects is between 29.782 and 30.218 hours.

Therefore the correct option  is 29.78–30.22 hours.

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A graph of the pentagon with vertices at the following points (0,9), (8,0), (0,-7), (-5,0), and (-5,9) is shown in the image below.

In Mathematics and Geometry, a polygon can be defined as a two-dimensional geometric figure that is typically composed of straight line segments and finite number of sides. Additionally, some examples of a polygon include the following:

In this scenario and exercise, we would use an online graphing tool to plot the given the pentagon with vertices at the following points (0,9), (8,0), (0,-7), (-5,0), and (-5,9) as shown in the graph attached below.

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The most reasonable temperature for a snowy day is given as follows:

C. -6°C

Considering that it snows, the temperature is either negative or very low positive, as snow only happens on temperatures close to freezing (like 2º C) or negative.

17ºC and 26ºC are far from cold enough to generate snow, hence the most reasonable temperature for a snowy day is given as follows:

C. -6°C

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Answer:

check the photo attached

Answer:

Let us first determine the time at which Ruby and Harry meet. Let t be the time (in hours) that Ruby drives before they meet. Then, Harry drives for t - 0.5 hours before they meet. We know that the total distance they cover is 100 km, so we can write an equation in terms of t:

30t + 60(t - 0.5) = 100

Simplifying and solving for t, we get t = 1.5 hours.

Now, we can determine the distance each person has driven when they meet. Ruby has driven 30 * 1.5 = 45 km, while Harry has driven 60 * 1 = 60 km. Since the distance between the two cities is 100 km, we can see that Harry is closer to city A when they meet, since he has driven 60 km compared to Ruby's 45 km.

Answer:You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Alvin paddled for 3 hours with a 7 -km/h current to reach a campsite. The return trip against the same current took 10 hours. Find the speed of the boat in still water. Alvin paddled for 3 hours with a 7 -km/h current to reach a campsite.

Step-by-step explanation:

Answer:

m - ($220 + (3/5)(m - $220)) = (1/8)m

m - ($220 + (3/5)m - $132) = (1/8)m

m - ($88 + (3/5)m) = (1/8)m

(2/5)m - $88 = (1/8)m

(11/40)m = $88

m = $320

(3/5)($320 - $220) = (3/5)($100) =

$60 on soccer ball

$60/$320 = 3/16 of Andrew's money spent on soccer ball

Answer:

Rounded to the nearest hundred: 3,600

Rounded to the nearest ten: 3,640

Rounded to the nearest thousand: 4,000

Rounded to one significant figure: 4,000

Step-by-step explanation:

Rounding to the nearest---

One: 3,640

Ten: 3,640

Hundred: 3,600

Thousand: 4,000

Hope this helps!

The company will recover its investment in Program X after 1 month.

Program X has an annual cost of $35,000 and is expected to save the company $40,000 during the first year. To determine the number of months it will take for the company to recover its investment, we need to calculate the monthly cost and monthly savings.
First, we divide the annual cost of $35,000 by 12 to find the monthly cost.
$35,000 / 12 = $2,916.67
So, the monthly cost of Program X is approximately $2,916.67.
Next, we divide the annual savings of $40,000 by 12 to find the monthly savings.
$40,000 / 12 = $3,333.33
Therefore, the monthly savings from Program X is approximately $3,333.33.
To calculate the number of months it will take for the company to recover its investment, we need to divide the initial investment (monthly cost) by the monthly savings.
$2,916.67 / $3,333.33 = 0.875
Since we can't have a fraction of a month, we need to round up to the nearest whole number. Therefore, it will take the company at least 1 month to recover its investment in Program X.

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The correct answer is Amy's Compliance Adherence percentage (CA%) is approximately 66.67%.

To calculate Amy's CA% (Compliance Adherence percentage), we need to determine the number of intervals she actually worked compared to the total number of intervals scheduled.

Total intervals scheduled: 12 intervals

However, there were two incidents that affected her adherence:

Technical Issue: Amy experienced a technical issue during her first interval, resulting in a 15-minute disruption. As Arise Technical Support issued an individual waiver, this interval is not counted as non-adherent.

Interval affected: 1

Waived interval: 1

Missed Intervals: Amy completely missed three intervals in a row due to mistakenly looking at her schedule incorrectly. These intervals count as non-adherent.

Intervals affected: 3

To calculate her CA%:

Total intervals worked = Total intervals scheduled - Waived intervals - Non-adherent intervals

Total intervals worked = 12 - 1 (waived) - 3 (non-adherent)

Total intervals worked = 8

CA% = (Total intervals worked / Total intervals scheduled) * 100

CA% = (8 / 12) * 100

CA% = 66.67%

Therefore, Amy's Compliance Adherence percentage (CA%) is approximately 66.67%.

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Marcia's weekly journey to the office represents her commitment, resilience, and contribution to the supermarket. It symbolizes the bridge between her personal life and professional aspirations, allowing her to make a meaningful impact and find fulfillment in her work.

Each week, Marcia diligently travels to the office where she works at the supermarket. This routine has become a crucial part of her life, intertwining her personal and professional responsibilities.

The journey to the office signifies a transition from the comforts of her home to the bustling environment of the supermarket, where she fulfills her duties with dedication and commitment.

As Marcia embarks on her weekly commute, she prepares herself mentally for the day ahead. She envisions the tasks awaiting her, from assisting customers and stocking shelves to managing inventory and coordinating with colleagues.

The office represents not only a physical space but also a realm of productivity, growth, and camaraderie.

During her commute, Marcia often utilizes this time to gather her thoughts, listen to inspiring podcasts, or simply enjoy the scenery outside her window. The journey acts as a buffer zone, enabling her to transition from her personal life to her professional role effectively.

Arriving at the office, Marcia is greeted by the familiar faces of her colleagues, who have become her work family. Together, they create a supportive and collaborative atmosphere, sharing both successes and challenges. Marcia's dedication to her work is reciprocated by her team, fostering a sense of belonging and fulfillment.

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Answer:

9557.3 in.³

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(32 in. × 32 in.)(28 in.)

V = 9557.3 in.³

The completed equation is 6/9 = 4/8.

To find an equivalent fraction for 6/8, we need to determine the value of p that satisfies the equation (6/p) = (4/8).

By looking at the given information, we see that the circle representing 6/12 is shaded in 6 equal parts, while the circle representing 4/8 is shaded in 4 equal parts.

To make both circles equivalent, we need to find a common denominator.

In this case, the common denominator is 12 since both fractions have denominators that can be multiplied by 2 to reach 12.

Therefore, we can divide the circle representing 6/12 into 12 equal parts.

Now, since the shaded circle with 4 equal parts represents 4/8, we need to find the corresponding number of shaded parts in the circle divided into 12 equal parts.

Since 8 is three-fourths (3/4) of 12, we shade three-fourths of the circle, which amounts to 9 out of the 12 parts.

To summarize, the shaded circle with 6 out of 12 equal parts represents 6/12, and the shaded circle with 9 out of 12 equal parts represents 9/12. Therefore, p in the equation (6/p) = (4/8) is equal to 9.

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The price of the coat at the end of the season is $27.60. The shop reduced the price by 20% from the selling price before the end of the season.

To determine the price of the coat at the end of the season, we can follow these steps:

Start with the original price of the coat, which is $30.

Add 15% to the original price to find the selling price before the end of the season.

The formula for calculating the selling price after adding a percentage is: Selling Price = Original Price + (Percentage [tex]\times[/tex] Original Price).

In this case, the selling price before the end of the season is:

Selling Price = $30 + (0.15 [tex]\times[/tex] $30) = $30 + $4.50 = $34.50.

Now, we need to apply a 20% decrease to the selling price to find the price of the coat at the end of the season.

The formula for calculating the price after a percentage decrease is: Price After Decrease = Selling Price - (Percentage [tex]\times[/tex] Selling Price).

In this case, the price of the coat at the end of the season is:

Price After Decrease = $34.50 - (0.20 [tex]\times[/tex] $34.50) = $34.50 - $6.90 = $27.60.

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The slope of the curve  y⁴ = y² - x² is 1 and repeat the process for the second point.

Find the slopes of the curve y⁴ = y² - x² at the given points, we need to differentiate the equation implicitly with respect to x.
Differentiating both sides of the equation with respect to x, we get:
4y³ * (dy/dx) = 2y * (dy/dx) - 2x
Next, we can solve for (dy/dx) by isolating it on one side of the equation:
4y³ * (dy/dx) - 2y * (dy/dx) = -2x
(2y - 4y³) * (dy/dx) = -2x
(dy/dx) = -2x / (2y - 4y³)
Now, substitute the x and y values for each point into the equation to find the slopes at those points.
For example, if one point is (1, 1), we substitute x = 1 and y = 1 into the equation:
(dy/dx) = -2(1) / (2(1) - 4(1)³)
(dy/dx) = -2 / (2 - 4)
(dy/dx) = -2 / -2
(dy/dx) = 1
Repeat the process for the second point, and you will have the slopes of the curve at both points.

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Answer:

Company A

y = 50x + 200

Company B

y = 40x + 300

The length of the carpet is 4m which is used to carpet a room that is 6m long and  2m wide and the carpet has a breadth of 3m.

Here, the formula used for the  length of the carpet will be,

Length of the carpet = Area of the room / Breadth of the carpet

We know that the room is of dimensions 6 m x 2 m so,  we can calculate its area as below:

Area of room = Length of carpet × Breadth of carpet

A= L×B .....(i)

where,

The length of the carpet= L

The breadth of the carpet= B

Substituting the given values in equation (i) we get,

Area of room will be = 6 m × 2 m = 12 m²

Calculating the length of the carpet required :

Length of the carpet = Area of room / Breadth of carpet

Length of carpet = 12 m² / 3 m = 4 m

Therefore, the length of the carpet required if the breadth of the carpet is 3 m is 4 meters.

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Based on the analysis, we can see that the exponential function that best represents the relationship between f(t) and t is f(t) = 100(0.25)^t. This option matches both data points in the table and exhibits exponential decay behavior. Option A

To determine the exponential function that best represents the relationship between f(t) (the amount of radioactive uranium left) and t (time in hours), we can analyze the given data in the table.

We notice that as time progresses, the amount of radioactive uranium is decreasing. This behavior aligns with the characteristics of exponential decay.

We can test each of the given options to see which one matches the data points in the table:

f(t) = 100(0.25)^t

For t = 0, f(t) = 100(0.25)^0 = 100. This matches the first data point in the table.

f(t) = 0.25(100)^t

For t = 0.5, f(t) = 0.25(100)^0.5 = 0.25(1) = 0.25. However, the table shows that f(t) should be 50 at t = 0.5, so this option does not match the data.

f(t) = 100(0.5)^t

For t = 1, f(t) = 100(0.5)^1 = 100(0.5) = 50. This matches the second data point in the table.

f(t) = 0.25(50)^t

For t = 1, f(t) = 0.25(50)^1 = 0.25(50) = 12.5. However, the table shows that f(t) should be 25 at t = 1, so this option does not match the data.

Option A

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Answer:

12/5

Step-by-step explanation:

We know that tanθ = opposite/adjacent. Opposite means the side that is opposed to θ. Adjacent is the side between the right angle and θ.

Therefore, tan67° means finding the ratio of the side that is opposed to 67° (which is 12) and the side that is between 90° and 67° (which is 5). Therefore,

[tex]\displaystyle{\tan 67^{\circ} = \dfrac{12}{5}}[/tex]

Answer:The slope of a line is its vertical change divided by its horizontal change, also known as rise over run. When you have 2 points on a line on a graph the slope is the change in y divided by the change in x. The slope of a line is a measure of how steep it is.

Step-by-step explanation:

The answer is:

undefined

Work/explanation:

We can use the slope formula to find the slope, but we notice something - the x co-ordinates of both points are identical. Whenever this phenomenon occurs, we understand that the line that passes through the points is vertical. That means its run is 0 (remember that Slope : rise/run) so whatever the rise is, we'll just have rise/0, which is an operation that cannot be done. So in this case, the slope's undefined.

Hence, the slope of the line which passes through (3,-2) and (3,4) is undefined.

Answer:

Step-by-step explanation:

Use the formula for the cos of an angle:

[tex]cos\theta=\frac{adj}{hyp}[/tex]  where the adjacent side is the length of 4 and the hypotenuse is the "c" we are looking for. Setting up the equation:

[tex].33=\frac{4}{hyp}[/tex]

Solve that equation for hyp to get:

[tex]hyp=\frac{4}{.33}[/tex]

Dividing that gives us that hyp (aka "c") = 12.121212...

c ≈ 12.12 (approximate value of side c in the right triangle).

Recall that in a right triangle, the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

In this case, cos B = 0.33.

We are given the length of the adjacent side, a, which is 4 units.

Use the equation cos B = a/c and rearrange it to solve for c:

cos B = a/c

Multiply both sides by c: c * cos B = a

Divide both sides by cos B: c = a / cos B

Substitute the values we have: c = 4 / 0.33.

Calculate the value of c using a calculator or by performing the division:

c ≈ 12.12.

Therefore, the length of side c in the right triangle is approximately 12.12 units.

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To find the probability associated with the standard normal distribution for the given value, Z < -1.39, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table, we look up the value for Z = -1.39. The table provides the cumulative probability to the left of the Z-score.

The table shows that the cumulative probability for Z = -1.39 is approximately 0.0823.

Therefore, the probability of Z < -1.39 in the standard normal distribution is approximately 0.0823, or 8.23%.

The calculated value of the probability is 2/3

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

P(AB) = 2/9

P(B) = 1/3

The equation of the probability is calculated as

P(A | B) = P(AB)/P(B)

substitute the known values in the above equation, so, we have the following representation

P(A | B) = (2/9)/(1/3)

Evaluate

P(A | B) = 2/3

Hence, the value is 2/3

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