Two lines, C and D. are represented by the equations given below Line C: y = x + 14 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? O 16. 20), because both lines pass through this point (6. 20), because the point does not lie on any axis (3. 11), because one of the lines passes through this point (3. 11). because the point lies between the two axes​

Answer:

C

Step-by-step explanation:

It goes down from right to left so the slope will be negative, and the y-intercept (or where the line touches the y axis) is 2, so the only one that works is C.

Answer:

A, B, & D

Step-by-step explanation:

A. isosceles - 2 sides equal (actually) all sides are equal

B. equilateral - all sides equal and all angles are equal too

D acute - all angles are less than 90 degrees

Answer:

I think it is -11r

Answer:

The person above me is right, it is 0.3 or 1/3

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

5 : 15 ( divide both parts by 5 )

= 1 : 3

3 : 9 ( divide both parts by 3 )

= 1 : 3

9 : 3 ( divide both parts by 9 )

= 1 : \(\frac{1}{3}\)

25 Kg : 100 Kg ( divide both parts by 25 Kg )

= 1 : 4

The upper and lower limits for the sample mean control chart can be calculated using the formula:Taking the average of these limits:

UCL = (3.35 + 3.42 + 3.64) / 3 = 3.47 (rounded to 2 decimal places)
LCL = (3.13 + 3.04 + 3.32) / 3 = 3.16 (rounded to 2 decimal places)

So, the upper and lower limits for the sample mean control chart are UCL = 3.47 and LCL = 3.16.

The upper and lower limits for the sample mean control chart are UCL = 3.47 and LCL = 3.16.
The limits for the sample mean control chart are calculated using the formula UCL = Mean + (3 * (Range / √n)) and LCL = Mean - (3 * (Range / √n)).

By applying this formula to each sample's mean and range values, we can calculate the upper and lower limits for each sample. Taking the average of these limits gives us the final upper and lower limits for the sample mean control chart.

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Answer:

outcome 10

simple space10

A 5

B 5

C 5

Step-by-step explanation:

Hope this helps!!!

the exact value of x, so that the greatest possible amount of light is admitted is 3.92 ft.

let x represents the radius of a semicircle, thus the width of the rectangle = 2x, length be y.

perimeter of the rectangular window = πx + 2y + 2x = x(π +2) + 2y

it is given that the perimeter is 28 ft.,

28 = x(π +2) + 2y

y = 28 - x(π +2) / 2

the area of the window A = 1/2 πx² = 2yx ( area of semicircle + area of rectangle)

A = 1/2 πx² + 2x [(28 - x(π +2) / 2]  (Substituting the value of y)

A = 1/2 πx² + 28x - πx² - 2x²

A = 28x - x² ( 2 + π/2 )

The maximum value of x is when dA/dx = 0

A' = 28- 2x ( 2 + π/2 )

2x ( 2 + π/2 ) = 28

x ( 2 + π/2 ) = 14

x = 3.92 ft

hence the value of x so that the greatest possible amount of light is admitted is 3.92 ft.

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(complete question)

A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle. See the figure below.) If the perimeter of the window is 28 ft, find the value of x so that the greatest possible amount of light is admitted.

Answer:

y = 4x + 3/4

Step-by-step explanation:

The slope intercept form is y = mx + b

Our equation is 4y - 12x = 4x + 3

4y - 12x = 4x + 3

4y = 16x + 3

y = 4x + 3/4

So, the answer is y = 4x + 3/4

If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

The annual interest rate = 23%

The credit card interest rate the amount you have to pay to borrow the money from them.  The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.

The monthly interest rate = \((1+\frac{23}{100})^{(1/12)}\)

= \((1+0.23)^{(1/12)}\)

= 1.0174

Then,

= (1.0174-1) × 100%

Subtract the terms first

= 0.0174 × 100%

Multiply it

= 1.74%

Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%

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Answer: C

Step-by-step explanation: To solve the equation for r, we need to isolate the r term on one side of the equation. The correct equation to do this is:

r = √(A / (4π))

Therefore, the correct answer is option C: r = A / (4π).

To solve this question we will use the following diagram as reference:

To answer the question we have to find the missing side of the right triangle, using the Pythagorean theorem we get:

Where a, and b are the legs of the triangle, and c the hypothenuse.

Substituting a=84, and c=91 we get:

Answer: 35 ft.

Answer:

124

Step-by-step explanation:

to solve an arc with an inscribed angle you multiple the angle by 2 so its

62x2 = 124

Answer:

10 ft x 20ft2 ft x 100ft 40ft x 50ft1 ft x 200 ft4ft x 50ft5ft x 40ft 8ft x 25ft

Step-by-step explanation:

The volume of the cube is greater than 5.4 cubic inches.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V = a³.

The side length in the context of this problem is given as follows:

a = 5.4 in.

Hence the volume of the cube is given as follows:

V = 5.4³

V = 157.5 cubic inches.

(to obtain the volume of the cube, we apply the formula obtaining the cube of the side length).

157.5 > 5.4, hence the volume of the cube is greater than 5.4 cubic inches.

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The measure of angle H is 55°.

The length of the side FG is 13 units.

Answer:

48

Step-by-step explanation:

180-(42 +90) =48, the measure of a right angle is 90, the angle measure of the whole triangle is 180

Answer:

48 degrees

Step-by-step explanation:

Answer:

<A=56.64

<B=114.99

<C=8.33

Step-by-step explanation:

let angle C be x

8x-10+3x+90+x=180°[sum of inside the triangle is 180°]

12x+80=180

12x=180-80

x=100/12

x=8.33

now putting the value of x

angle C is 8.33

angle A is 56.64

angle B is 114.99

Answer:

The correct option is;

B. Use a formula

Step-by-step explanation:

Given that Jim and Lillian have the dimensions of the wall they want to paint, therefore, in order to know how much paint they need to buy, they should proceed as follows;

1) Determine the quantity of paint required to paint a unit area of the wall, and record the quantity UA

2) Calculate the area, A, of the wall they want to paint, which is 15 ft. × 9 ft. = 135 ft.²

3) The amount of paint needed, AmP is therefore given by the following formula

AmP = A × AU = 135 × AU

Answer:i dont know

Step-by-step explanation:

The chance of the event B is 0.4 when using the probability for the two independent two event formula.

In the given question, if a and b are independent events with p(a) = 0.65 and p(a ∩ b) = 0.26, then we have to find the value of p(b).

Events classified as independent do not depend on other events for their occurrence.

Event A's likelihood of happening is P(A)=0.65.

The likelihood of the two events A and B intersecting is P(A∩B)=0.26.

Given that the likelihood of the two independent events is:

P(A∩B) = P(A)⋅P(B)

Then the probability of the event B will be,

P(B) = P(A)/P(A∩B)

P(B) = 0.65/0.26

P(B) =0.4

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Answer:

B.Y=10

Step-by-step explanation:

Y=10 represents a parallel to the x-axis

The mass of the solid copper with a density of 9.86g/cm³ and dimensions of 5cm x 3cm x 10cm is 1.479kg.

To calculate the mass of the solid copper, we need to use the formula

mass = density x volume

First, let's calculate the volume of the solid copper

volume = width x height x depth = 5 cm x 3 cm x 10 cm = 150 cm³

Now, we can plug in the values we have

mass = density x volume = 9.86 g/cm³ x 150 cm³ = 1479 g

To convert grams to kilograms, we divide by 1000

mass in kg = 1479 g / 1000 = 1.479 kg

Therefore, the mass of the solid copper is 1.479 kg.

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The given question is incomplete, the complete question is:

The density of copper is 9.86g/cm[cubed] work out the mass of the solid in kg

width is 5cm

height is 3cm

depth is 10cm

Answer:

0+8

Step-by-step explanation:

add 8 each time

it is 0 because in times table if you have 8, 16 and 24 then you don't need to add it on or take away from it, so it will be 0.

I hope that helped.

The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

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

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

Richard gets an average of 17 calls during his 8 hour work day. in order to find the probability that richard will get at most 5 calls in a 2 hour portion of his work day using the poisson distribution,The probability that Richard will receive at most 5 calls in a 2-hour portion of his work day is approximately 0.092.

In this scenario, the random variable X represents the number of calls that Richard receives during a 2-hour portion of his 8-hour work day.

The Poisson distribution is commonly used to model the probability of a certain number of rare events occurring in a fixed interval of time or space. In this case, we can use the Poisson distribution to model the number of calls that Richard receives in a 2-hour period, given that we know the average number of calls he receives in an 8-hour work day.

The Poisson distribution has a single parameter, λ, which represents the average rate at which the rare events occur. In this case, λ = 17/8 = 2.125, since Richard receives an average of 17 calls in an 8-hour work day.

To find the probability that Richard will receive at most 5 calls in a 2-hour portion of his work day, we can use the Poisson probability mass function (PMF), which gives the probability of observing k events in a given time interval, given the average rate λ. The PMF is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

where k is the number of events, λ is the average rate, and e is the mathematical constant approximately equal to 2.71828.

So in this case, we want to find the probability that X ≤ 5, i.e., the probability that Richard will receive 0, 1, 2, 3, 4, or 5 calls in a 2-hour portion of his work day. We can use the cumulative distribution function (CDF) of the Poisson distribution to find this probability:

P(X ≤ 5) = Σ(k=0 to 5) P(X = k)

where Σ is the summation symbol.

Plugging in the values, we get:

P(X ≤ 5) = Σ(k=0 to 5) (e^(-λ) * λ^k) / k! = (e^(-2.125) * 2.125^0 / 0!) + (e^(-2.125) * 2.125^1 / 1!) + (e^(-2.125) * 2.125^2 / 2!) + (e^(-2.125) * 2.125^3 / 3!) + (e^(-2.125) * 2.125^4 / 4!) + (e^(-2.125) * 2.125^5 / 5!) ≈ 0.092

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Answer:

Step-by-step explanation:

Answer:

pretty sure its the second one

Step-by-step explanation:

Answer: The answer is 38%