Geoff works at a warehouse, earning $17. 50 per hour plus a $200 one-time hiring bonus. In Geoff’s first week, his pay including the bonus was $637. 50.


Write and solve an equation to find how many hours h Geoff worked his first week

Answer:

12$ is the amount Gemma would get.

Step-by-step explanation:

27$ divided by 9 hours is 3$ per hour, aka the unit rate. Since Gemma worked 4 hours, we do 3$x4 and we get 12$

Answer:

cuz i am batman hahahhaahhahah

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

the cake was divided in 1/4ths so half of that is 1/8

Answer:

B

Step-by-step explanation:

I got it right on edge.

Answer:

Step-by-step explanation:

The graph of a proportional relationship is a straight line through the origin. That is, its y-intercept is zero. Its equation is y=mx.

__

For a non-proportional linear relationship, ...

In a table, for an ordered pair (0, y), y will not be 0.

From a graph, the y-intercept will not be 0.

In the equation y = mx+b, b will not be 0.

(a) Variance of Z = 1600, Standard deviation of Z = 40

(b) Variance of Z = 2304, Standard deviation of Z = 48

(c) Variance of Z = 80, Standard deviation of Z ≈ 8.94

(d) Variance of Z = 80, Standard deviation of Z ≈ 8.94

(e) Variance of Z = 320, Standard deviation of Z ≈ 17.89

To find the variance and standard deviation of the random variable Z in each case, use the properties of variance and standard deviation, as well as the given information about X and Y.

Given:

X has a mean of 30 and a standard deviation of 4.

Y has a mean of 50 and a standard deviation of 8.

The correlation between X and Y is zero.

calculate the variance and standard deviation for each case:

(a) Z = 35 + 10X

The mean of Z can be calculated as:

Mean(Z) = 35 + 10 * Mean(X) = 35 + 10 * 30 = 335

The variance of Z can be calculated as:

\(Var(Z) = (10^2) * Var(X) = 100 * (4^2) = 1600\)

The standard deviation of Z is the square root of the variance:

\(SD(Z) = \sqrt(Var(Z)) = \sqrt(1600) = 40\)

(b) Z = 12X - 5

Mean(Z) = 12 * Mean(X) - 5 = 12 * 30 - 5 = 355

\(Var(Z) = (12^2) * Var(X) = 144 * (4^2) = 2304\)

\(SD(Z) = \sqrt(Var(Z)) = \sqrt(2304) = 48\)

(c) Z = X + Y

Mean(Z) = Mean(X) + Mean(Y) = 30 + 50 = 80

\(Var(Z) = Var(X) + Var(Y) = (4^2) + (8^2) = 16 + 64 = 80\)

\(SD(Z) = \sqrt(Var(Z)) = \sqrt(80) ≈ 8.94\)

(d) Z = X - Y

Mean(Z) = Mean(X) - Mean(Y) = 30 - 50 = -20

\(Var(Z) = Var(X) + Var(Y) = (4^2) + (8^2) = 16 + 64 = 80\)

\(SD(Z) = \sqrt(Var(Z)) = \sqrt(80) ≈ 8.94\)

(e) Z = -2X + 2Y

Mean(Z) = -2 * Mean(X) + 2 * Mean(Y) = -2 * 30 + 2 * 50 = 40

\(Var(Z) = (-2^2) * Var(X) + (2^2) * Var(Y) = 4 * (4^2) + 4 * (8^2) = 64 + 256 = 320\)

\(SD(Z) = \sqrt(Var(Z)) = \sqrt(320) ≈ 17.89\)

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A particular solution to the differential equation d^(2)y/dt^(2) + y = 1/cos(t), with initial conditions y(0) = 0 and y'(0) = 0, is y(t) = (1/2)log[sec(t)+tan(t)].

We can use the method of undetermined coefficients to find a particular solution to the given differential equation. Since the right-hand side is 1/cos(t), which is not a polynomial in sin(t) and cos(t), we assume a particular solution of the form y_p(t) = Alog[sec(t)+tan(t)] + B. We can then differentiate this twice to find d^(2)y_p/dt^(2) = A[sec(t)+tan(t)][tan(t)+sec(t)]/cos^2(t), and substitute this into the differential equation to obtain:

A[sec(t)+tan(t)][tan(t)+sec(t)]/cos^2(t) + Alog[sec(t)+tan(t)] + B = 1/cos(t)

Multiplying both sides by cos^2(t) and simplifying yields:

A[tan(t)sec(t)+sec^2(t)] + Alog[sec(t)+tan(t)]cos^2(t) + Bcos^2(t) = 1

To satisfy this equation, we must have A = 1/2 and B = 0. Therefore, the particular solution is y_p(t) = (1/2)log[sec(t)+tan(t)]. To find the general solution, we add the complementary function y_c(t) = c1cos(t) + c2sin(t), where c1 and c2 are constants determined by the initial conditions. Since y(0) = 0 and y'(0) = 0, we have c1 = 0 and c2 = 0. Therefore, the general solution is y(t) = y_c(t) + y_p(t) = (1/2)log[sec(t)+tan(t)].

Therefore, a particular solution to the given differential equation with initial conditions y(0) = 0 and y'(0) = 0 is y(t) = (1/2)log[sec(t)+tan(t)].

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The result provides convincing evidence that the tsa officers did not carrry out a truly random sample.

A simple random sample is a subset of a statistical population in which each member has an equal chance of being selected.

In statistics, a simple random sample is a subset of individuals picked at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

In this case, it's important to note that the fact that all the people chosen were first class members means that it was bias and not a random sampling.

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Answer: 243.66 Meters

Step-by-step explanation:

Multiply 20.305 × 12 and you get 243.66 meters

20.305= meters per foot

12= the total amount of feet tall

Answer:

Answer: 243.66 Meters

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

I think that it is 23 but Im not 100% sure

Answer:

The answer would be B if right mark brainliest

Answer:

I believe it's A

Step-by-step explanation:

Answer:

(x + 2)^2 + (y - 6.5)^2 = 25.25

Step-by-step explanation:

We can the equation of the circle in standard form, whose general equation is:

\((x-h)^2+(y-k)^2=r^2\), where

Step 1:  We know that the diameter is simply 2 * the radius.  Thus, we can find the radius by first finding the length of the diameter.  To do this, we'll need the distance formula, which is:

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where

We can allow (-7, 7) to be our (x1, y1) and (3, 6) to be our (x2, y2) point and plug these into the formula to find d, the distance between the points and the length of the diameter:

\(d=\sqrt{(3-(-7))^2+(6-7)^2} \\d=\sqrt{(3+7)^2+(-1)^2}\\ d=\sqrt{(10)^2+1}\\ d=\sqrt{100+1}\\ d=\sqrt{101}\)

Now we can multiply our diameter by 1/2 to find the length of the radius:

r = 1/2√101

Step 2:  We know that the center lies at the middle of the circle and therefore represents the midpoint of the diameter.  The midpoint formula is

\(m=(\frac{x_{1}+x_{2} }{2}),(\frac{y_{1}+y_{2} }{2})\), where

We can allow (-7, 7) to be our (x1, y1) point and (3, 6) to be our (x2, y2) point:

\(m=(\frac{-7+3}{2}),(\frac{7+6}{2})\\ m=(\frac{-4}{2}),(\frac{13}{2})\\ m=(-2,6.5)\)

Thus, the coordinate for the center are (-2, 6.5).

Step 3:  Now, we can create the equation of the circle and simplify:

(x - (-2)^2 + (y - 6.5)^2 = (1/2√101)^2

(x + 2)^2 + (y - 6.5)^2 = 25.25

Using the formula of speed, the speed of first trains is 45 mph and the speed of second train is 60 mph.

In the given question, we have to find the speed of each.

Two trains going in opposite directions leave at the same time.

One train tavels 15 mph faster than the other.

In 6 hours the trains are 630 miles apart.

Let the speed of the first vehicle be s mph, then according to the question, the speed of the second vehicle would be (s+15) mph.

Let the first vehicle covers the distance D(1) and the second one D(2) in the prescribed time.

So, find the distance covered by the first vehicle in 6 hours by using the formula

Distance = Speed × Time

So the distance D(1) is;

D(1) = s*6

D(1) = 6s

So the distance D(2) is;

D(2) = (s+15)*6

D(2) = 6s+90

Since, after 6 hours both the vehicles are at the distance 630 miles. So, the sum of the two distances D(1) and D(2) will be equal to 630.

D(1)+D(2) = 630

Puttimg the value of D(1) and D(2)

6s+6s+90=630

Simplifying

12s+90=630

Subtract 90 on both side we get

12s=540

Divide by 12 on both side we get

s=45 mph

So the value of speed of the faster vehicle

s+15 = 45+15

s+15 = 60 mph

Hence, the speed of first train is 45 mph and the speed of second train is 60 mph.

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Answer:

if the teacher buys 4 packa of markers and 3 packs of pens she would have the same amount

Answer:

\(8x + y = 4\)

Step - by - step explanation:

Standard form of a line X-intercept as a Y-intercept as b is

\( \frac{x}{a} + \frac{y}{b} = 1\)

As X-intercept is \( \frac{1}{2}\) and Y-intercept is 4.

The equation is:

\( \frac{x}{ \frac{1}{2} } + \frac{y}{4} = 1 \\ or \\ 8x + y = 4\)

Graph {8x+y=4[-5.42, 5.83, -0.65, 4.977]}

Hope it helps..

Mark as brainliest..

Answer:

9

Step-by-step explanation:

8+7=15

15-6=9

Step-by-step explanation:

x+6=8+7

-6 -6 -6

x= 2+1 i think this is the answer

Answer + Step-by-step explanation:

y = mx + b

To find the slope (m),

slope = rise / run

x is increasing by 1.3 (run)

y s increasing by 1 (rise)

rise / run = 1 / 1.3

slope = 1 / 1.3

To find the y-intercept (b),

when x = 0, y = 0 so y-intercept is 0

equation:

y = 1/1.3x

graph:

The next 3 terms of 1/2, 1/4, 1/8 are 1/16, 1/32 and 1/64.

Number is a concept used in mathematics to represent a quantity or an amount. It can be used to describe anything from the exact number of objects in a collection to the amount of money in a bank account. Numbers can be used to measure, count, or compare different items or amounts. They can also be used to describe relationships between objects or values. For example, the number 2 can be used to represent a relationship between two objects, such as a pair of shoes.

These terms are obtained by dividing each of the previous terms by 2. This is called a geometric sequence, and each term is obtained by multiplying the previous term by 1/2.

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Complete questions as follows-
List the next 3 terms of 1/2, 1/4, 1/8

Answer:

c because its right trust

Step-by-step explanation:

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

2; 6

Step-by-step explanation:

for the first shape there are 2 lines of symmetry

TWO

for the hexagon or the regular polygon there are 6 lines of symmetry

SIX

you can find lines of symmetry by drying a line down and seeing if when you fold them they will be exactly the same

Answer:

Step-by-step explanation:

Area of circle equation:

Circumference of circle equation:

Use circumference equation to find the radius:

Find the area:

By observing diagram clearly we can observe that there is a right angled triangle with :

So, to find hypotenuse, let's use Pythagoras' theorem :

\( \large \underline{\boxed{\bf{H^2 = B^2 + P^2}}}\)

\( \tt : \implies c^2 = 3^2 + 3^2\)

\( \tt : \implies c^2 = 9 + 9\)

\( \tt : \implies c^2 = 18\)

\( \tt : \implies c = \sqrt{18}\)

Hence, value of c is √18.

Answer:

It would be C.

Step-by-step explanation:

Dave has 4 times as many figures as Ben. Ben has y action figures, so it would be 4y. Then Jeff has 5 more action figures than Dave which would be addition, all together it would be (4y+5) more action figures) I hope that helps

The recursive formula of the arithmetic sequence is:

xₙ = n*4 + 13

With that we can see that x₁₁ = 57

Here we know that the first elements of the sequence are:

17, 21, 25, 29, ...

To find the common difference, d, we take the difference between any two consecutive elements, so we have:

c = 21 - 17 = 4

Then the recursive formula for the n-th term is:

xₙ = n*4 + d

The first element x₁ is 17, so we will have:

17 = 1*4 + d

17 - 4 = d = 13

The recursive formula is:

xₙ = n*4 + 13

b) the eleventh term of the sequence is given by replacing n in the above formula by 11.

x₁₁ = 4*11 + 13 = 44 + 13 = 57

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Answer:

16

Step-by-step explanation:

The first step to answering a question like this is to turn it into an improper fraction so 7 1/3=24/3. Then divide the numerator by the denominator so 24 divided by 3=8 so 8=1/3. Their is 2/3 so do 8 times 2 which equals 16

The present value of the loan is approximately 4. $42,817,078.

The present value of a loan is the current worth of all future cash flows associated with the loan. To calculate the present value of the loan, we need to discount each cash flow to its present value using the market rate of 7% per annum, compounded semi-annually.

Let's break down the cash flows:

1. $11 million is received now and has no discounting since it's already in present value.
2. $22 million is received at the end of month 6. We need to discount it to its present value. Since it's six months in the future, we need to calculate the present value of $22 million in six months at a rate of 7% per annum, compounded semi-annually.
3. $11 million is received at the end of 12 months. We need to discount it to its present value. Since it's one year in the future, we need to calculate the present value of $11 million in one year at a rate of 7% per annum, compounded semi-annually.

To calculate the present value, we can use the formula:

PV = FV / (1 + r/n)^(n*t)

Where:
PV is the present value,
FV is the future value,
r is the interest rate,
n is the number of compounding periods per year, and
t is the number of years.

Let's calculate the present value of each cash flow:

1. PV of $11 million received now = $11 million

2. PV of $22 million received in six months:
PV = $22 million / (1 + 0.07/2)^(2*0.5)
PV = $22 million / (1.035)^(1)
PV ≈ $21,233,298

3. PV of $11 million received in one year:
PV = $11 million / (1 + 0.07/2)^(2*1)
PV = $11 million / (1.035)^(2)
PV ≈ $10,583,780

Now, let's add up the present values of each cash flow to find the total present value of the loan:

Total PV = $11 million + $21,233,298 + $10,583,780
Total PV ≈ $42,817,078

Rounded to the nearest dollar, the present value of the loan is approximately $42,817,078.

Based on the provided answer choices, the closest option to the calculated present value is (4) $42,524,656.

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Answer:

two imaginary numbers

Step-by-step explanation:

Answer:

y=-3/4x+6

Step-by-step explanation:

12x+16y=96

16y=-12x+96

4y=-3x+24

y=-3/4x+6