Given that lines q and m are parallel and are cut by two
different transversal lines, j and k, use angle relationships
to determine the measure of each numbered angle:

Answer:

A. Daily

Step-by-step explanation:

`A = P(1 + r/n)^(nt), where

Step 1:  Substitute the given values into the formula:

Step 2:  Check whether the money is compounded daily, monthly, quarterly, or annually:

Checking if the money is compounded daily:

10994.58 = 5142(1 + 0.038/365)^(365 * 20)

10994.58 = 5142(1.00010411)^(7300)

10994.58 < 10994.61436

10994.58 < 10994.61

Proving the money is not compounded monthly:

Thus, we can prove the money is not compounded monthly by plugging in 12 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/12)^(12 * 20)

10994.58 --- 5142(1.003166667)^240)

10994.58 ? 10981.82145

10994.58 > 10981.82

10981.82 is further away from 10994.58 than 10994.61 so the money definitely is not compounded monthly.

Proving the money is not compounded quarterly:

Thus, we can prove the money is not compounded quarterly by plugging in 4 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/4)^(4 * 20)

10994.58 --- 5142(1.0095)^(80)

10994.58 > 10955.64458

10994.58 > 10955.64

10955.64 is further away from 10994.58 than 10994.61 so the money definitely is not compounded monthly.

Proving the money is not compounded annually:

Thus, we can prove the money is not compounded quarterly by plugging in 4 for n and examining how much farther the answer is from 10994.58 than 10994.61 (aka our answer when we did 365 for n to check for daily compounded money):

10994.58 --- 5142(1 + 0.038/1)^(1 * 20)

10994.58 --- 5142(1.038)^(20)

10994.58 > 10841.24459

10994.58 > 10841.24

10841.24 is further away from 10994.58 than 10994.61 so the money is definitely not compounded annually.

The rate of change, in square inches per second, of the area of the region at the instant when R is 44 inches and r is 33 inches is

8363 square inches

The rate of change is the derivative, the rate of change is calculated by differentiation the area

formula for area of concentric circle is given by

Area A = π(R^2 - r^2) =

R = radius of the inner circle

r = radius of the outer circle

δA/δt = δA/δRδr * δRδr/δt

δA/δt = π * (2RδR/δt - 2rδr/δt)

δA/δt = π * 2(R * δR/δt - r * δr/δt)

where R = 44 and δR/δt = 22

r = 33 and δr/δt = -11

= 2π(44 * 22 - 33 * -11)

= 2π (968 - -363)

=  2π (1331)

= 2662π

= 8362.9196 square inches

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Answer:

The difference in diameter between the two ends is 1.757''

Step-by-step explanation:

Given;

length of a bar of cast iron, L =  18.125"

initial diameter of the bar, d₁ = 0.983"

final diameter of the bar, d₂ = 2.74"

The difference in diameter between the two ends of the bar is calculated as;

difference in diameter = d₂ - d₁

difference in diameter =  2.74" - 0.983"

difference in diameter = 1.757''

Therefore, the difference in diameter between the two ends is 1.757''

Answer:

9: D 10: A

Step-by-step explanation:

Answer:

9 is a

Step-by-step explanation:

(a) a = 209, b = 15: 209 = 15 × 13 + 4

  Quotient q = 13, Remainder r = 4

(b) a = 986, b = 49: 986 = 49 × 20 + 26

  Quotient q = 20, Remainder r = 26

To find the quotient q and remainder r when dividing a by b, we can use the division algorithm which states that for any integers a and b (where b ≠ 0), there exist unique integers q and r such that:

a = bq + r, where 0 ≤ r < |b|

Let's calculate the quotient and remainder for the given values of a and b:

(a) a = 209 and b = 15

We divide 209 by 15:

209 = 15 × 13 + 4

So, the quotient q is 13 and the remainder r is 4.

Therefore, when dividing 209 by 15, the quotient q is 13 and the remainder r is 4.

(b) a = 986 and b = 49

We divide 986 by 49:

986 = 49 × 20 + 26

So, the quotient q is 20 and the remainder r is 26.

Therefore, when dividing 986 by 49, the quotient q is 20 and the remainder r is 26.

In summary:

(a) a = 209, b = 15: 209 = 15 × 13 + 4

  Quotient q = 13, Remainder r = 4

(b) a = 986, b = 49: 986 = 49 × 20 + 26

  Quotient q = 20, Remainder r = 26

Please note that the quotient and remainder are whole numbers obtained from the division algorithm.

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Answer:

5700

Step-by-step explanation:

5 percent is the same as 0.05 so we can say 0.05s (5% of s for salary) is equal to 285. so 0.05s=285 and divide both sides by 0.05 (which is the same as multiplying by 20) to get 5700

Answer:

The answer would be $5700

Step-by-step explanation:

If Catherine donates $285 as 5% then since 5*20=100 you could multiply 285 times 20 to get 5700. To check just take 5700 times 0.05 (5%) and you will get $285.

The unique solution that satisfies the initial value problem \(y^{(4)}\) = -2sint and the initial conditions y(0) = 0, y'(0) = 1, y''(0) = 0, and y'''(0) = -2 is y(t) = 2sin(t)/3 - \(t^{3}\) + t.

To solve the initial value problem \(y^{(4)}\) = -2sint, we need to find the function y(t) that satisfies the given differential equation and the initial conditions.

To do this, we can integrate the given equation four times with respect to t, since y^(4) represents the fourth derivative of y(t):

y'''(t) = -2cost + \(C_{1}\)
y''(t) = 2sint + \(C_{1}\)t +\(C_{2}\)
y'(t) = -2cost/3 +\(C_{1}\)\(t^{2/2}\) + \(C_{2}\)t + \(C_{3}\)
y(t) = 2sint/3 +\(C_{1}\)\(t^{3/6}\) + \(C_{2}\)\(t^{2/2}\) + \(C_{3}\)t + \(C_{4}\)


Since the initial value problem does not specify the initial conditions, we cannot find the exact values of these constants. However, we can use the general solution above to illustrate how to apply initial conditions to solve for y(t).

For example, suppose we are given the initial conditions y(0) = 0, y'(0) = 1, y''(0) = 0, and y'''(0) = -2. To find the values of \(C_{1}\), \(C_{2}\), \(C_{3}\) and \(C_{4}\) that satisfy these conditions, we can substitute t = 0 into the general solution and its derivatives:

y(0) = 2sin0/3 +\(C_{1}\)(0\()^{3/6}\) +\(C_{2}\)(0\()^{2/2}\) + \(C_{3}\)(0) +\(C_{4}\) = \(C_{4}\)= 0
y'(0) = -2cos0/3 + \(C_{1}\)(0\()^{2/2}\) + \(C_{2}\)(0) + \(C_{3}\) = \(C_{3}\) + \(C_{2}\) = 1
y''(0) = 2sin0 + \(C_{1}\)(0) + \(C_{2}\) = \(C_{2}\) = 0
y'''(0) = -2cos0 + \(C_{1}\)=\(C_{1}\)= -2

Therefore, the unique solution that satisfies the initial value problem \(y^{(4)}\)= -2sint and the initial conditions y(0) = 0, y'(0) = 1, y''(0) = 0, and y'''(0) = -2 is:

y(t) = 2sin(t)/3 - \(t^{3}\) + t

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Answer:

So sorry but I have no idea, also have a great weekend!

Answer:

\(\displaystyle \frac{5}{20}\)

Step-by-step explanation:

    We will put the number of wanted outcomes over the number of possible outcomes.

\(\displaystyle \frac{\text{wanted outcomes}}{\text{possibly outcomes}} =\frac{\text{red marbles}}{\text{number of all marbles in the bowl}}=\frac{5}{5+7+8} =\frac{5}{20}\)

Answer: C: 4.9

The original answer is 4.8989, so I rounded 8 to the nearest hundredth and got the answer of 4.9. Having a Mathematics calculator also helps with math like this.

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

Nathan is incorrect. He forgot to include the factor pair 1 and 12. If he had done this, he would have found that the expression is factorable.

Step-by-step explanation:

Nathan missed an important step in solving

Answer:

-8 and 3, or -3 and 8

Step-by-step explanation:

xy = -24

x - y = 11

x = y + 11

y(y + 11) = -24

y^2 + 11x + 24 = 0

(y + 8)(y + 3) = 0

y = -8 or y = -3

x = 3 or x = 8

the numbers are -8 and 3, or -3 and 8

Step-by-step explanation:

For a RIGHT triangle   Sin = opposite LEG / Hypotenuse

           sin x = 45/ 83

                 x = arcsin (45/83)  = use calculator = 32.8 degrees

M' A'T" H' is (1,1) and (2.5) equals 3.6 to form a quadrilateral. A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.

Let the scale factor of quadrilateral is center at 2.5 at (1, 1) then

(1,1) and (2.5) equals 3.6

(1,1) + (2.5) =  3.6

Therefore, the statement exists true about the dilation is

D. \(\frac{}{A'T'}\) will overlap \(\frac{}{AT}\)

A. \(\frac{}{M'A'}\) will overlap \(\frac{}{MA}\)

E. The slope of \(\frac{}{HT}\) is equal to the slope of \(\frac{}{H'T'}\)

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Answer:

x  ≥  21

Hope this helps!

Answer:

plz give the other person brain thingy :D

Step-by-step explanation:

The solution of the system of equation is

1) The solution to the system of equations is x = -7 and y = -2.

2) The solution to the system of equations is x = -7 and y = -2.

3) The solution to the system of equations is any point on the line 2x + 5y = 0

4) The solution to the system of equations is x = -2 and y = 1.

5) The solution to the system of equations is x = 1 and y = -16.

In mathematics, a system of equations refers to a set of two or more equations that must be solved simultaneously. Solving a system of equations involves finding the values of the variables that satisfy all the given equations. In this response, we will go through the process of solving five different systems of equations.

−2x−8y=10 and 2x−6y=18, in order to solve this system of equations, we need to eliminate one of the variables, x or y. One way to do this is to add the two equations together. When we add them, the x term cancels out, leaving us with -14y = 28. Solving for y, we get y = -2. Substituting this value of y into either equation, we get x = -7.

And then the equations, −2x+9y=−4 and 2x+3y=−20, to solve this system of equations, we can use the method of elimination again. If we add the two equations, the x term cancels out, leaving us with 12y = -24. Solving for y, we get y = -2. Substituting this value of y into either equation, we get x = -7.

Then the third one 2x+5y=0 and x + 5y = −10 is in this system of equations, we notice that the second equation is just the first equation with a constant term added. Therefore, these equations are dependent, meaning that they represent the same line. Any point that satisfies one equation will also satisfy the other equation.

And the fourth one has −4x+y=9 and −4x+9y=17, to solve this system of equations, we can use the method of substitution. We can solve the first equation for y, getting y = 4x + 9. Substituting this expression for y into the second equation, we get -4x + 9(4x + 9) = 17. Simplifying, we get 25x + 72 = 17. Solving for x, we get x = -2. Substituting this value of x into the first equation, we get y = 1.

−6x − y = 10 and −16x + 6y = −24,  To solve this system of equations, we can use the method of elimination. If we multiply the first equation by -6 and the second equation by -1, we can add the two equations to eliminate y. Doing so, we get 80x = 80. Solving for x, we get x = 1. Substituting this value of x into either equation, we get y = -16.

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Complete Question:

Solve the system of equations

1) −2x−8y=10 and 2x−6y=18

2) −2x+9y=−4 and 2x+3y=−20

3) 2x+5y=0 and x + 5y = −10

4) −4x+y=9 and −4x+9y=17

5) −6x − y = 10 and −16x + 6y = −24

Answer:

A. x=35

B. C= 59 degrees

Step-by-step explanation:

Since both angles have the same measurement you set them equal to each other as so & solve for x

3x+16=5x-54

16=2x-54

70=2x

x=35

Now we plug 35 into one of the equations

3(35) + 16

105+ 16 = 121 degrees

Since angle C is a supplementary angles you do 180-121= 59 degrees

Answer:

y= 3/2× (-1/2) x=0

Step-by-step explanation:

multiply the equation by both sides by 4/3 and nd then you get 0=x then you swap the sides of the equation x=0 nd your answer is x=0

The  store is offering the best unit rate is  Grocery Store A.

The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.

unit rate = cost / pounds

Unit rate of Grocery Store A: $0.75 / 12 = $0.0625

Unit rate of Grocery Store B: $3.75 / 5 = $0.75

Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.

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The number of paint bottles required is 49.716 bottles

Thus, 50 bottles are needed to paint the ornaments.

Surface area is the sum of all exterior surfaces on a three-dimensional object, representing the quantity of material that covers it. Computing an object's surface area entrails measuring each of its faces and then adding up their areas altogether.

If we take, for instance, a cube, its surface area would be calculated by multiplying the measurement of one face width by another and then multiplying this value by six (each cube has six sides). The units applied to measure surface area are usually in square feet or square centimeters.

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By following these steps, we should be able to solve problems related to the Law of Cosines using Kuta Software Infinite Algebra 2.

Apply the Law of Cosines:
1. Identify the given information: In a triangle, you will be given the length of two sides and the angle between them, or the length of all three sides.
2. Write down the Law of Cosines formula: c² = a² + b² - 2ab * cos(C),

where 'a', 'b', and 'c' are the side lengths of the triangle, and 'C' is the angle opposite to side 'c'.
3. Plug in the given information: Replace the variables in the formula with the given values.

If you know two sides and the angle between them, you can solve for the third side.

If you know all three sides, you can solve for one of the angles.

4. Solve for the missing side or angle: If you're finding a side, perform the arithmetic to calculate the square of the missing side, and then take the square root to find the actual side length.

If you're finding an angle, rearrange the formula to isolate the cosine of the angle, calculate the value, and then use the inverse cosine function (cos⁻¹) to find the angle in degrees or radians.
5. Verify your answer: Check if the resulting triangle's side lengths and angles follow the triangle inequality theorem and sum of angles, respectively.

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Answer:

The answer is B, 17.83 km.

Step-by-step explanation:

To solve this, we need to first find out how many kilometers he rode for both Monday and Wednesday. To do this, add 13.94 and 18.23 together. The answer is 32.17 kilometers. Since we know he has to ride 50 kilometers for the week, we can subtract 32.17 from 50 to find the answer. Note that I didn't attempt to convert 32.17 to kilometers since that was the unit of measure it was already in. Now, after you have done 50-32.17, you will get 17.83. Put this in kilometers. This gives us our answer, which is 17.83 km. Mark needs to ride for 17.83 more kilometers to complete his training for the week.

Answer: The theoretical probability that the number cube will land on five is 1/6. The previous outcomes do not affect the probability of rolling a five on the next roll, as each roll of the number cube is independent of the previous roll. Therefore, the probability of rolling a five on the next roll is the same as the probability of rolling a five on any other roll of the number cube, which is 1/6.

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

All the wording makes it confusing, but it is a simple probability of rolling a 5 out of the 6 faces on the die. It only asks about that time, so the probability doesnt increase or decrease at all depending on what was rolled before

The appropriate values to be used on the x and y axis are; w will represent the input values which will be on the x-axis while y will represent the output values which will be on the y-axis.

Usually, linear equation graphs are made up of the y-axis and x-axis values.

In this type of graph, the y-axis values are referred to as the range or output of the function while the x-axis values are referred to as the domain or input of the function.

Now, in the given question, we see that w is clearly the input function and as such will be represented on the x-axis while the output value will be represented on the y-axis.

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Answer:

45°

Step-by-step explanation:

three angles in a triangle sum up to 180

90° + a + a = 180°

90° + 2a = 180°

2a = 180°-90°

2a = 90°

a = 45°

Answer:

2:45

Step-by-step explanation:

2:45

=============================================

Explanation:

Focus on triangle OCT. We can see that the triangle is isosceles because OT = OC are two radii of the same circle. That consequently means angles T and C are the congruent base angles (rotate the triangle to see what I mean). The base angles are opposite the congruent sides.

Since base angle C is 35 degrees, that makes base angle T this measure as well.

-----------

We just found angle CTO is 35 degrees. Angle PTO is supplementary to this, so it is 180-35 = 145 degrees.

Now focus solely on quadrilateral PTOQ. The goal is to find angle O, aka angle QOT. We found angle T in the paragraph above and it's 145 degrees. Angle Q is 90 degrees assuming segment PR is tangent to the circle at point Q.

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

Recall that for any quadrilateral, the interior angles always add to 360

let x be the measure of angle O, aka angle QOT

P+T+O+Q = 360

60+145+x+90 = 360

x+295 = 360

x = 360-295

x = 65

Therefore, angle QOT is 65 degrees

Answer:

291

Step-by-step explanation:

The 3% of 300 is given by

\(300(0.03) = 9\)

so you have 9 defective items. This is 291 (from 300-9) items worked correctly.

ANOTHER WAY
if 3% are defective, 97% do work. So 97% of 300 is:

\(300(0.97)=291\\\)
So 291 items.

Answer:

$74.34

Step-by-step explanation:

Because $63 + 18% = $74.34