How to do this question plz answer me ​

The nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

Given the 13th unit requires 87 minutes and 26th unit requires 64 minutes.To find the estimated time required by the 50th unit, we need to use the equation of the linear equation of the line.Let's find the value of m (slope).`m = (64 - 87)/(26 - 13)m = -23/13`Let's find the value of b (y-intercept).`b = 87 - (-23/13) × 13b = 87 + 23b = 110`

Therefore, the equation of the line can be written as:y = -23/13 x + 110Let's substitute the value of x as 50 and find the value of y (time required by the 50th unit).`y = -23/13 × 50 + 110y = 47.31`Rounded to the nearest whole number, the estimated time required by the 50th unit is 47 minutes.Therefore, the correct option is b. 48 minutes.

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Answer:

2

Step-by-step explanation:

add

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Answer:

416.84 m

Step-by-step explanation:

First Step:

Multiple 312.63 by 1/3

312.63*1/3=104.21

Second Step:

Add 312.63 to 104.21

312.63+104.21=416.84

\(✤ \: \underline{ \underline{ \frak{Understanding~the~question : - }}} \\ \\ \)

In this question, we have been provided that Evan swims 1/3 times farther than Drake, thus, the total distance covered by Evan will be equal to the sum of 312.63 m and the 1/3rd of 312.63 m. Thus, at first we will calculate the one third of the distance and then add them up to get our final answer.

⠀

\(✤ \: \underline{ \underline{ \frak{Given:-}}} \\ \\ \)

⠀

\(✤ \: \underline{ \underline{ \frak{To~Find :-}}} \\ \\ \)

⠀

\(✤ \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ \)

Calculating the one - third,

\( \sf \longrightarrow \dfrac{1}{3} \: of \: 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{3} \times 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{ \cancel3} \times \cancel{312.63} \: m \: \\ \\ \\ \sf \longrightarrow 1 \times 104.21 \: m \: \: \\ \\ \\ \sf \longrightarrow 104.21 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ \)

Thus,

⠀

\( \sf \longrightarrow Distance~covered~by~Evan =312.63 \: m + 104.21 \: m \\ \\ \\ \sf \longrightarrow Distance~covered~by~Evan =416.84 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \)

Thus, the distance covered by Evan is 416.84 m.

⠀

\(\underline{\rule{227pt}{2pt}} \\ \\ \)

Answer:

Below in bold.

Step-by-step explanation:

a) 0.04, 0.1, 0.16

You  add 0.06 to get the next term:

The next 2 are: 0.22, 0.28.

b) 3, 9, 27

You multiply by 3 to get next term

Next 2 are: 81, 243.

c)  0.3, 1/3, 11/30

1/3 - 0.3 = 1/30

11/30 - 1/3 = 1/30

So common difference = 1/30

The next 2 terms are 12/30 and 13/30

= 2/5 , 13/30.

Answer:

should be after 10 years , $1967.15

Answer:

Step-by-step explanation:

Let's use "n" to represent the number of slices in each pizza. Then the equation to describe the situation is:

999n = 727272

To solve for "n", we divide both sides by 999:

n = 727272/999

Using a calculator or long division, we get:

n ≈ 728.56

Therefore, each pizza has approximately 728 slices.

The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer:

option d is correct answer

Step-by-step explanation:

-18x+12

Triangle KVM is similar to triangle BVG because angle M = angle G = 90° and angle V is common to both triangles.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio.

For two triangles to be similar, the corresponding angles must be congruent i.e equal.. Also the ratio of the corresponding sides of similar triangles are equal.

angle M and G are both 90° , this means they are equal.

angle KVM = BVG

therefore angle K = angle B

Since all the corresponding angles are equal, we can say triangle KVM is similar to triangle BVG

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It is possible to find DH based on the stated theorem

This rule states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

Mathematically:

Given the following parameters

CG=4 in

CH=5 in

GE=6 in

Substitute to check if we can find DH

(4+6)*4 = (5+DH)*5

10*4 = 25 + 5DH

40 - 25 = 5DH

15 = 5DH
DH = 3in

Therefore it is possible to find DH based on the stated theorem

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a=1

Hope this helps

have a great day!

Step-by-step explanation:

Answer: A, B

Step-by-step explanation:

A and B are unique to parallel lines, C and D are not.

The maximum length of each prism is equal to 7.99 centimeter.

First of all, we would determine the maximum surface area of this regular hexagonal prism by using this mathematical expression:

Maximum surface area (quantity) = Cost/unit price

Maximum surface area (quantity) = $11/$0.04

Maximum surface area (quantity) = 275 square centimeter (cm²).

Mathematically, the surface area of a regular hexagonal prism can be calculated by using this formula:

A = 6al + 3√3a²

Where:

Substituting the given parameters into the formula, we have;

275 = 6 × 4l + (3√3 × 4²)

275 = 24l + 48√3

24l = 275 - 48√3

24l = 191.8616

l = 191.8616/24

Length, l = 7.99 centimeter.

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The required greatest difference between the estimate and the true value is 45.

Given that,
Ethan needs to add together two whole numbers and wants to estimate the answer first. He rounds both numbers to 1 significant figure, which gives him 300 and 600 and adds them together to get an estimate of 900.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
For the estimated number 900, the least number that can be rounded to the number 900 is 855,
Now,
Difference  = 900 - 855 = 45

Thus, the required greatest difference between the estimate and the true value is 45.

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Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

\(Z=\dfrac{x-\mu }{\sigma }\)

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

\(Z=\dfrac{27-21 }{3 } = 2\)

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

Answer:

D.

Step-by-step explanation:

An excluded value often comes from a zero in the denominator.

Set each denominator equal to zero creating an equation in x. If there is a solution to the equation, then there are excluded values. If the equation has no solution, then there are no excluded values.

A.

2x^2 = 0

x = 0

excluded value

B.

3x + 3 = 0

3x = -3

x = -1

excluded value

C.

x² - 7 = 0

x² = 7

x = √7 or x = -√7

excluded values

D.

-x² - 5 = 0

x² = -5

x = √(-5) or x = -√(-5)

There is no real solution for x.

no excluded values

Answer: D

Answer:

The answer is D 150

Step-by-step explanation:

I took the edgen test and got 100%.

Answer:

Try 150

Step-by-step explanation:

Hope it helps!

a) The sample space of the given experiment is {(1, 1), (1, 4), (1, 9), (1, 16), (1, 25), (3, 1), (3, 4), (3, 9), (3, 16), (3, 25), (5, 1), (5, 4), (5, 9), (5, 16), (5, 25), (7, 1), (7, 4), (7, 9), (7, 16), (7, 25)}. b) The probability that the "difference of the two dice" is divisible by 3 is 5/12.

We can calculate the probability of the "difference of the two dice" being divisible by 3 using the formula:
P(Difference divisible by 3) = Number of favorable outcomes / Total number of outcomes
Total number of outcomes = 4 × 3

Total number of outcomes = 12 (Multiplying the number of outcomes in each dice)
Favorable outcomes = {(-3, 1), (-1, 4), (1, 1), (3, 4), (5, 1)}
∴ Number of favorable outcomes = 5
P(Difference divisible by 3) = 5/12
c) The probability of the difference being less than zero given that it is divisible by 3
We need to find the pairs (BLUE, RED) such that (BLUE - RED) is divisible by 3 and (BLUE - RED) is less than zero.
Let's find the pairs which satisfy the above condition.
The pairs are: {(-3, 4), (-3, 1), (-1, 1), (-1, 4)}
The probability of the difference being less than zero given that it is divisible by 3 is equal to the number of favorable outcomes divided by the total number of outcomes. That is:
P(Difference < 0 | Divisible by 3) = Number of favorable outcomes / Total number of outcomes
Total number of outcomes = 4 × 3

Total number of outcomes = 12
Favorable outcomes = {(-3, 1), (-3, 4), (-1, 1)}
∴ Number of favorable outcomes = 3
P(Difference < 0 | Divisible by 3) = 3/12
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Answer:

no solution

Step-by-step explanation:

y = 5 - 3x → (1)

y = - 3x + 4 → (2)

substitute y = - 3x + 4 into (1)

- 3x + 4 = 5 - 3x ( subtract 4 from both sides )

- 3x = 1 - 3x ( add 3x to both sides )

0 = 1 ← not possible

this indicates the system has no solutions

Answer:

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

Graph attached

Step-by-step explanation:

Not sure what exactly the question is asking for.

Here is what I figured out

Shape of the graph is exponentially decreasing

The horizontal asymptote is y = 0

The y intercept is at x = 0 and is at y = 3/2

We can also rewrite this equation as:

\(g(x) = \dfrac{3}{2} \cdot \dfrac{2}{3} \cdot \left(\dfrac{2}{3}\right)^{x-1}\\\\\\= \left(\dfrac{2}{3}\right)^{x-1}\)

Answer:

20

Step-by-step explanation:

we know,

n(aUb)=n(a)+n(b)-n(a∩b)

so,

80=40+60-n(a∩b)

or, 80-(40+60)=-n(a∩b)

or, -n(a∩b)=80-100

or, -n(a∩b)=-20

or, n(a∩b)=20

Answer:

it is b or 20,000 or it is the base salary, you can put all 3 to be safe since they are all technichaly the same.

Step-by-step explanation:

so y=mx+B is the equation right here m the slope which is rise over run or y/x=.1 and B is the y inercept and 20,000 it is the starting point on the graph. where it overlaps with the y axis, in this case 20,000 which as it says earlier is his base salary

128 were Daily News readers. 19 read neither while 35 read both. Weekly Gazette A marketing class conducted a survey of 270 shoppers at a mall to find out how many of them read the Weekly Gazette and how many the Daily News.

What is News readers?

150 attendees were surveyed by a marketing class to find out how many read the Weekly Journal and how many the National News. In this section, word problems will be solved using Venn diagrams. The areas of a Venn diagram that indicate quantities as opposed to will have numbers in them. Confidence interval for difference of two formula You may have read statements like the ones below in newspapers, for instance. law in numerous nations.

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Based on the given information, the predicted value can be calculated by adding the residual to the observed value. In this case, the predicted value is 30.5.

To determine the predicted value, we need to add the residual to the observed value. The residual represents the difference between the observed value and the predicted value. In this scenario, the residual is given as 0.6, and the observed value is 29.9. Adding the residual of 0.6 to the observed value, we get the predicted value of 30.5.

The predicted value is obtained by considering the residual as an adjustment to the observed value. It represents the estimated value based on the available data. In this case, the residual of 0.6 indicates that the predicted value is slightly higher than the observed value. The addition of the residual to the observed value accounts for any systematic deviation or error in the prediction. Therefore, the predicted value is 30.5.

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Maximum 8A/144 people are allowed to entire the park.

The entire space taken up by the surface of the park is called area.

If the park is rectangular shaped, then the area is the product of length and breadth. If it is square shaped, area can be determined by the square of the side length.

Given, length of unused space = 12 foot

    breadth of unused space = 12 foot

Area of unused space = 12 x 12 = 144 square feet

Maximum 8 people is allowed for every 144 squares feet space

Let, area of the entire park is A square feet

Now maximum number of people allowed = (8 × A)/ 144

hence, 8A/144 people is allowed.

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Answer:

25

Step-by-step explanation: