Which equation best represents the line graphed above?


Please help

Among the 769 team members, 706 of them are assigned to operates in 2 shifts schedule. The proportion of team members not assigned to one of the stations is 63 / 769

Proportion means a share from total set being discussed.

Data from the given case:

- The assembly has 769 team members.

- The assembly has 353 stations

- At each station, there are 2 shifts operations.

Assuming that 1 person is assigned to 1 shift operation, then there will:

353 x 2 = 706 person assigned.

The remaining team members that not assigned is:

769 - 706 = 63 person.

Therefore, the share or the proportion of unassigned team members is:

63/769

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Answer:

Elizabeth made 8 free throws and 4 two-point shots.

Explaination:

Variable Definitions:

x=   the number of free throws made

y=   the number of two point shots made

Each free throw scores 1 point, so x free throws would score 1x points. Each two point shot scores 2 points, so yy two point shots would score 2y points. Therefore, the total number of points scored 1x+2y equals 16:

1x+2y=16

Since Elizabeth scored twice as many free throws as two point shots, she made more free throws, so if we multiply 2 by the number of two point shots made, we will get the number of free throws made, meaning x equals 2y.

x=2y

Write System of Equations:

​1x+2y=    16

x=  2y

Solve for y in each equation:

1x+2y=16         x=2y

2y=-1x+16         2y=x

2y/2=-1x+16/2     y=1/2x

y=-1/2x-8

The x variable represents the number of free throws made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,4) we can say:

Elizabeth made 8 free throws and 4 two-point shots.

The piece of information which would have to be marked on the triangle to show congruence by the HL theorem is ac = dc which is denoted as option C.

It states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'

In triangle  ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.To use HL hypotenuse and one leg of triangles must be equal which means that :

AB = DE (hypotenuse)

AC = DC  (leg)

This means that the additional information  which  will allow you to prove the triangles congruent by the HL Theorem is AC = DC.

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The full question is:

What additional information will allow you to prove the triangles congruent by the HL Theorem?

choices

A = E

bce= 90

ac = dc

ac=bd

Answer:

5.7

Step-by-step explanation:

Answer:

circumference=2πr

18= 2×3.14×r

r= 18/2×3.14

diameter = 5.73cm

\(\frac{v}{8} -3.1=-15.9\)

Simplify equation:

\(\frac{1}{8}v+-3.1=-15.9\)

\(\frac{1}{8} v-3.1=-15.9\)

Add 3.1 to both sides:

\(\frac{1}{8} v-3.1+3.1=-15.9+3.1\\\)

\(\frac{1}{8} v=-12.8\)

Multiply both sides by 8:

\(8\times(\frac{1}{8} v)=(8)\times(-12.8)\\-102.4\)

\(\fbox{v=-102.4}\)

A hsitogram is a plot that shows the frequency distribution of a set of continuous data

A stem plot is a technique use to classify either duscrete or continuous variable

The best reason for choosing a stemplot rather than a histogram to display the distribution of a quantitative variable is b) Stemplots allow you to see the values of individual observations

Answer: it will be 48 in 4 years.

Step-by-step explanation: If it’s triples every 6 months that mean times 3 so 2 times 3 is 6 and since there are 12 months you can also do times 6 so 2 times 6 is 12 . And it’s 4 years so 12 times 4 is 48

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.

To calculate the value of m∠Q, we use the formula below

Formula:

Where:

Substitute these values into equation 1

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The equation that represents the situation will be 4y = 5x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The number y of objects a machine produces is proportional to the time x (in minutes) that the machine runs.

The machine produces five objects in four minutes.

Let y be the number of objects and x be the number of the minutes.

Then the equation that represents the situation will be

 y = (5/4)x

4y = 5x

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I'm thinking 5.95% sorry if I'm wrong

The value of angle x in the diagram of equilateral triangle and square is 120⁰.

If one vertex of the equilateral triangle is in the center of the square, and one vertex of the square is in the center of the equilateral triangle, the value of x is calculated as follows;

Since the vertex of the equilateral triangle is at the center, then angle x will be equal to the opposite angle.

Also, the center angle will be equal to 60⁰, individual angle of equilateral triangle.

( x + x ) + ( 60 + 60 ) = 360 ( sum of angles in a quadrilateral )

2x + 120 = 360

2x = 240

x = 240 / 2

x = 120⁰

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Answer:

Step-by-step explanation:

cos 45° = base / hypotenuse

1/√2 = base / 15√2

15√2 = base√2

Base, = 15

sin 60° = perpendicular / hypotenuse

hypotenuse = x

√3/2 = 15 / x

x √3 = 30

x = 30 / √3

x = 10√3

Answer:

x = 10√3

Step-by-step explanation:

Answer:

145'

Step-by-step explanation:

There is a table with the roller coasters' heights at Cedar Point amusement park in the assignment that is missing from the post.

Looking up the info online, the Millennium Force is 310 feet tall.

The Mantis is 165 feet shorter than the Millennium Force.

So the height of the Mantis is 310 - 165 = 145 feet.

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

The answer is , an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m = 1 and m = -0.3183

To find an approximate value of m such that the equation cos(x) = mx has exactly two solutions, we can use the fact that the graph of y = cos(x) intersects the line y = mx at exactly two points.

The graph of y = cos(x) is a periodic function with a maximum value of 1 and a minimum value of -1.

Since we want the line y = mx to intersect the graph of y = cos(x) at exactly two points, the slope m must satisfy the condition -1 ≤ m ≤ 1.

Furthermore, for the line y = mx to intersect the graph of y = cos(x) at exactly two points, the line must pass through the maximum and minimum points of the graph of y = cos(x).

These occur at x = 0 and x = π.

At x = 0, we have cos(0) = 1 and the equation cos(x) = mx becomes 1 = m(0), which simplifies to m = 1.

At x = π, we have cos(π) = -1 and the equation cos(x) = mx becomes -1 = m(π), which simplifies to m = -1/π.

Therefore, an approx. value of m such that the equation cos(x) = mx has exactly two solutions is m ≈ 1 and m ≈ -0.3183 (rounded to four decimal places).

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Answer:

720

Step-by-step explanation:

0.64 x 2000 = 1280

2000 - 1280 = 720

No. of people supporting the home team out of 2000 people is 720.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, At a basketball game, 64% were supporting the visiting team.

The percentage of people supporting the home team is

(100 - 64)% = 36%.

Now, Total number of people who came to watch is 2000.

∴ No. people supporting the home team is,

= (36/100)×2000.

= 36×20.

= 720 people.

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For the first scenario, the production level that maximizes profit is 125 units, with a maximum profit of $3085. When profit is maximized, the price per unit is $55, and the average cost per unit is $30.32.

In the second scenario, the number of units sold that will yield a maximum profit of $15,000 is 12,300 units

To find the production level that maximizes profit, we need to find the point where the marginal revenue equals marginal cost. The marginal revenue is the derivative of the demand function, which is -0.2. The marginal cost is the derivative of the total cost function, which is 30. Setting -0.2 equal to 30 and solving for x, we find x = 125. This means that producing 125 units will maximize profit.

To calculate the maximum profit, we substitute the value of x into the profit function: P = (80 - 0.2x) * x - (30x + 40). Plugging in x = 125, we get P = 3085.

When profit is maximized, the price per unit can be found by substituting the production level into the demand function: p = 80 - 0.2 * 125 = 55.

The average cost per unit can be calculated by dividing the total cost by the production level: average cost = (30 * 125 + 40) / 125 = 30.32.

In the second scenario, we are given the profit function P = 1.64x - 2500. To find the number of units sold that will yield a maximum profit of $15,000, we set the profit function equal to 15,000 and solve for x: 1.64x - 2500 = 15,000. Solving this equation gives x = 12,300.

The maximum profit can be calculated by substituting the value of x into the profit function: P = 1.64 * 12,300 - 2500 = $7,586.

Therefore, in the second scenario, the number of units sold that will yield a maximum profit is 12,300, and the maximum profit is $7,586.

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Answer:

the answer is A

Step-by-step explanation:

If Eugene is at a cash-only restaurant he must withdraw cash out of his bank account (linked to debit card.)

Answer:

6

Step-by-step explanation:

4 1/2= 4.5

3/4=0.75

4.5/0.75= 6

just to check, 3/4 x 6 =4.5

The sum of ∑ −9(−10/7)n, where n = 4 is -63/17.

The given series is:

∑(-9)(-10/7)ⁿ, n=4 to ∞

To find the sum of this infinite series, we can use the formula for the sum of an infinite geometric series:

S = a / (1 - r)

where S is the sum of the series, a is the first term of the series, and r is the common ratio of the series.

In this case, the first term a is -9 and the common ratio r is -10/7, since each term is obtained by multiplying the previous term by -10/7.

So we have:

S = (-9) / (1 - (-10/7)) = (-9) / (17/7) = -63/17

Therefore, the sum of the given series is -63/17.

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Answer:

4 is the answer

Step-by-step explanation:

they lost 4matches

Answer:

4

Step-by-step explanation:

65% add 15% is 80%

Therefore they lose 20%
20% of 20:

20 divided by 10 is 2

2 multiplied by 2 is 4

or

20 divided by 5 is 4

Answer:

180000

Step-by-step explanation:

Each kilometer = 100,000 cm

That means 1.8 * 100,000 = 180,000 cm.

Based on your question. That should be the answer

Answer:So for an isosceles right triangle with side length a , the hypotenuse has a length of a√2 . Similarly, if the hypotenuse of an isosceles right triangle has length of a , the legs have a length of a√2ora√22 each

Step-by-step explanation:

An isosceles triangle is a special triangle due to the values of its angles. These triangles are referred to as triangles and their side lengths follow a specific pattern that states that one can calculate the length of the legs of an isoceles triangle by dividing the length of the hypotenuse by the square root of 2.

FOR EXAMPLE What is the length of the legs of an isosceles right triangle if the hypotenuse is 8 units?

2 Answers By Expert Tutors. For an isoceles right trangle, the legs each have length x and the hypotenuse has length x √2. Therefore, since the hypotenuse has length 8√2, the legs must each be of length 8.

Answer:

71

Step-by-step explanation:

6285 ÷ 89 = 71

Circumference of a circle with equation \((x+2)^{2}+(y-3)^{2}\) = 9 is 6pi.

To find the circumference of a circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9, we first need to identify its radius, which is the square root of the constant term 9. The radius is therefore 3 units.

The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.

Using this formula, we can calculate the circumference of the given circle as:

C = 2πr = 2π(3) = 6π

Therefore, the circumference of the circle with equation  \((x+2)^{2}+(y-3)^{2}\) = 9 is 6π units.

It's important to note that the circumference of a circle is the distance around the edge of the circle. It is an important parameter for many applications in geometry, physics, and engineering, among others. Being able to calculate the circumference of a circle given its equation is a fundamental skill in mathematics and is essential for solving many problems in different fields.

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a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

We have,

a. To find the probability that a male spent less than $229 online before deciding to visit a store, we need to calculate the cumulative probability.

Using the normal distribution with a mean of $270 and a standard deviation of $19, we can calculate:

P(X < $229) = P(Z < (229 - 270) / 19) = P(Z < -2.158) ≈ 0.015

Therefore, the probability that a male spent less than $229 online before deciding to visit a store is approximately 0.015, or 1.5%.

b. To find the probability that a male spent between $298 and $320 online before deciding to visit a store, we can calculate the difference between the cumulative probabilities for each value.

Using the normal distribution, we have:

P($298 < X < $320) = P(X < $320) - P(X < $298)

= P(Z < (320 - 270) / 19) - P(Z < (298 - 270) / 19)

= P(Z < 2.632) - P(Z < 1.474)

≈ 0.995 - 0.929

≈ 0.066

Therefore, the probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 0.066, or 6.6%.

c. To find the value below which 80% of the amounts spent online by a male before deciding to visit a store fall, we can use the inverse cumulative distribution function (also known as the Z-score).

We need to find the Z-score corresponding to the cumulative probability of 0.8:

Z = invNorm(0.8) ≈ 0.842

Now, we can use the Z-score formula to find the corresponding value:

X = mean + Z x standard deviation

= $270 + 0.842 * $19

≈ $285.598

Therefore, 80% of the amounts spent online by a male before deciding to visit a store is less than approximately $285.598.

Thus,

a. The probability that a male spent less than $229 online before deciding to visit a store is approximately 1.5%.

b. The probability that a male spent between $298 and $320 online before deciding to visit a store is approximately 6.6%.

c. 80% of the amounts spent online by a male before deciding to visit a store are less than approximately $285.598.

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Answer:

Step-by-step explanation:

(sin5a-sina)+sin2a/(cos5a+cosa)+cos2a

=2cos3asin2a+sin2a/2cos3acos2a+cos2a

=sin2a(2cos3a+1)/cos2a(2cos3a+1)

=sin2a/cos2a

=tan2a

Answer:

in \(5^{9}\), 9 is not an even number, nor a multiple of 2, meaning 1,953,125 isn't a square number  

Step-by-step explanation:

Answer:

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities. Wikipedi

The arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √(r(θ)² + [dr(θ)/dθ]²) dθ

where r(θ) is the polar equation of the curve, and dr(θ)/dθ is its derivative with respect to θ.

In this case, we have r(θ) = e^5θ, so:

dr(θ)/dθ = 5e^5θ

Plugging these into the arc length formula, we get:

L = ∫[0,2π] √(e^10θ + (5e^5θ)²) dθ

Simplifying the integrand, we have:

L = ∫[0,2π] √(e^10θ + 25e^10θ) dθ

L = ∫[0,2π] √(26e^10θ) dθ

L = √26 ∫[0,2π] e^5θ dθ

Using the formula for the integral of e^x, we get:

L = √26 [e^5θ / 5] |_0^(2π)

L = √26 [(e^10π - 1) / 5]

So the arc length of the polar curve r = e^5θ from 0 to 2π is √26 [(e^10π - 1) / 5].

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Answer:

umm.. I think the answer choices are wrong because the slope is -2.

y = mx + b

y = (slope)x + (y-intercept)

y = -2x + 4

and i have proof!

Step-by-step explanation: