James determined that these two expressions were equivalent expressions using the values of x-4 and x-6. Which
statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x-2, both expressions have a value of 18.
The expressions are only equivalent for x-4 and x-6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x-0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x=8.

Answer:

Step-by-step explanation:

so

V = energy / q

The potential difference * charge = potential energy change of charge

delta V = 10J/(5*10^-6) = 2*10^6 volts

Answer:

15

Step-by-step explanation:

15 x .2 = 3

1. The cheese production for 2006 is 7.76 billion.

2. The cheese produced in 2014 is 9.84 billion.

It should be noted that a function is simply used to show the relationship between the variables that are given.

In this situation, there's a 3% growth per year and the function for the cheese production is modelled as:

y = 7.1(1.03)^x

y = cheese production

x = number of years after 2003.

1. Therefore, since 2006 is 3 years after 2003, this will be

y = 7.1(1.03)^x

y = 7.1(1.03)³

y = 7.1 × 1.093

y = 7.76 billion

The production is 7.76 billion.

2. The production in 2014 will be;

y = 7.1(1.03)^x

y = 7.1(1.03)^11

y = 7.1 × 1.385

y = 9.84 billion

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Answer:

she would need two bags because it is 18 but covers 10 square feet

Step-by-step explanation:

Answer:

hi how are yoou

Step-by-step explanation:

Answer:

this would be false it's y

Step-by-step explanation:

2 negatives make a positive

Answer:

68%

Step-by-step explanation:

25-8=17

17/25=0.68

68%

Hope this helped :)

Answer:

\(:\implies\tt \dfrac{n + 1}{2} = -\dfrac{3}{4} \\ \\ \\ \)

⚽ Cross multiplying both the sides we get :

\(:\implies\tt (n + 1) \times 4= -3 \times 2 \\ \\ \\ \)

\(:\implies\tt 4n + 4= -6 \\ \\ \\ \)

\(:\implies\tt 4n = -6 - 4 \\ \\ \\ \)

\(:\implies\tt 4n = -10 \\ \\ \\ \)

\(:\implies\tt n = \dfrac{-10}{4}\\ \\ \\ \)

\(:\implies\tt n = \dfrac{-5}{2}\\ \\ \\ \)

\(:\implies \ddag \: \gray{ \underline{ \boxed{\tt n = - 2.5}}} \: \ddag\\ \\ \\ \)

The square of binomial have in common is x² - 14x + 49

The first two products you have given, (x + 9)(x + 9) and (x - 7)(x - 7), are examples of the square of a binomial. To find the product of two binomials, we use what's called the FOIL method. FOIL stands for First, Outer, Inner, Last, and it's a way to remember the steps involved in multiplying two binomials.

When we multiply (x + 9)(x + 9), we first multiply the first terms in each binomial: x * x = x². Then we multiply the outer terms: x * 9 = 9x. Next, we multiply the inner terms: 9 * x = 9x. Finally, we multiply the last terms in each binomial: 9 * 9 = 81. So, putting it all together, we get:

(x + 9)(x + 9) = x² + 9x + 9x + 81

= x² + 18x + 81

Similarly, when we multiply (x - 7)(x - 7), we get:

(x - 7)(x - 7) = x² - 7x - 7x + 49

= x² - 14x + 49

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Complete Question:

Find each product. (x + 9) (x + 9) , (x - 7)(x - 7) (2x - 1 )²

a. What do all products of the square of a binomial have in common?

The common ratio of the sequence is 0.5.

The common ratio of a geometric sequence can be found by dividing any term by its previous term. Let's call the first term "a" and the common ratio "r". Then we have:

third term = a * r^2 = 100

eighth term = a * r^7 = 3.125

We can divide the equation for the eighth term by the equation for the third term to eliminate "a":

\((a * r^7) / (a * r^2) = 3.125 / 100\)

\(r^5 = 0.03125\)

r = 0.5

Therefore, the common ratio of the sequence is 0.5.

We are given two terms of a geometric sequence and are asked to find the common ratio. We can use the formula for the nth term of a geometric sequence to write two equations involving the first term "a" and the common ratio "r". By dividing the two equations, we can eliminate "a" and solve for "r". In this case, we get a fifth degree equation for "r", which we can solve using a calculator or by recognizing that 0.03125 is equal to 1/32, and therefore r is equal to the fifth root of 1/32, which simplifies to 0.5.

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Answer:

I believe that it is .875 or 7/8 but im not sure

Step-by-step explanation:

Answer:

1/4 * 1/2 = 1/8

Step-by-step explanation:

1/4 chance of choosing an 'm'

1/2 chance of getting tails

Probability of both events = 1/4 * 1/2 = 1/8

Answer:

1414

Step-by-step explanation:

Multiply 54 by 14, and 47 by 14. That is 756 and 658. Add them together to get the answer.

Answer:

volume of cuboid = 2h(l+b)

Step-by-step explanation:

since you are asking the method on how to do this I will just help you out with basic idea.

first,

convert mixed fractions into fractions before writing them in given.

eg:

GIiven,

width(b)= (7×2+1)/2 = 15/2= 7.5 in

then you can find out the length by doubling the width since the question has said the length is twice the width.

after that we can find out the height by subtracting (2×2+1)/2 = 5/2= 2.5 in from the length.

finally figure out the volume by using formula for volume of cuboid i.e 2h(l+b)

Answer:

20? because 24 plus 12 gives you 36 and 8 plus 12 gives you 20

Step-by-step explanation:

sorry if its wrong

Answer:

18 units

Step-by-step explanation:

since the y- coordinates are equal then the 2 points lie on a horizontal line and the distance (d) between them is the absolute value of the x- coordinates, that is

d = | - 4 - 14 | = | - 18 | = 18

or

d = |  14 - (- 4) | = | 14 + 4 | =   18  = 18

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Pilar climb 6.5 feet and Jake climbed 9.5 feet.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

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Answer: $18.48

Step-by-step explanation:

$9.99 * 2 (for two pies) = $19.98 - $1.50 (for the discount) = $18.48

The t-statistic determines the statistical significance of a regression coefficient.

The t-statistic is used to measure how extreme a statistical estimate is compared to the hypothesized value.A t-value close to zero indicates that the hypothesized value is reasonable.

A very positive t-value indicates that the hypothesized value is not large enough.A very negative t-value indicates that the hypothesized value is too large.

The t-statistic is commonly used in hypothesis testing to determine whether a regression coefficient is statistically significant or not. If the t-value exceeds the critical value, then the coefficient is considered statistically significant at a certain level of confidence.

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Answer:

x = 1

Step-by-step explanation:

A rectangle has two diagonals that are equal in length and bisect each other. That means they divide each other into two equal parts. So, if E is the intersection of the diagonals of rectangle ABCD, then AE = EC and BE = ED.

Also, since a diagonal divides a rectangle into two right triangles, we can use the fact that the sum of angles in a triangle is 180 degrees to find x.

Let’s look at triangle AEB first. The measure of angle AEB is 13x, so we can write:

13x + angle ABE + angle EBA = 180

We don’t know angle ABE or angle EBA yet, but we can use the fact that opposite angles of a parallelogram are equal to find them. Since ABCD is a parallelogram (a rectangle is a special case of a parallelogram), we have:

angle ABE = angle CDE angle EBA = angle DCA

Now we can substitute these values into our equation:

13x + angle CDE + angle DCA = 180

Next, let’s look at triangle CED. The measure of angle ECD is 3x-5, so we can write:

3x - 5 + angle CDE + angle DEC = 180

We don’t know angle DEC yet, but we can use the fact that adjacent angles of a parallelogram are supplementary to find it. Since ABCD is a parallelogram, we have:

angle DEC + angle DAB = 180 angle DEC = 180 - angle DAB

Now we can substitute this value into our equation:

3x - 5 + angle CDE + (180 - angle DAB) = 180

Simplifying both equations by subtracting 180 from both sides, we get:

13x + angle CDE + angle DCA = 0 3x - 5 + angle CDE - angle DAB = 0

Now we have two equations with three unknowns: x, angle CDE and angle DAB. To solve for x, we need to eliminate one of the unknown angles. We can do this by adding or subtracting the two equations.

Let’s try adding them first:

(13x + angle CDE + angle DCA) + (3x - 5 + angle CDE -angle DAB) = 0 16x -5 +2(angle CDE) =0

This gives us an equation with only x and one unknown:

16x -5+2(angleCDE)=0

To solve for x, we need to find out what (angleCDE)is.

We can do this by using another fact about rectangles: The diagonals of a rectangle are perpendicular to each other. That means they form four right angles at their intersection point E.

So,

angle AEB+angleBEC=90 13x+angleBEC=90 angleBEC=90-13x

Similarly,

angleCED+angleDEC=90 3x-5+angleDEC=90 angleDEC=95-3x

Since opposite angles of a parallelogram are equal,

angleBEC=angleDEC 90-13x=95-3x 10=10x X=1

Therefore,

the constantofproportionalityis 1.

The correct answer is X=1.

Answer:

r = 8

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

16 pi = 2 * pi r

Divide each side by 2 pi

16 pi /2 pi  = 2 pi r / 2 pi

8 = r

Answer:

\(radius = 8\)

Step-by-step explanation:

\(r = \frac{c}{2\pi} \\ r = \frac{16\pi}{2\pi} \\ r = 8\)

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

5.12 * 10^6

Step-by-step explanation:

The speed of the boat in still water is 8 miles per hour.

Let's call the speed of the boat in still water "x" (in miles per hour).

When Mackenzie rows downstream, the current is helping her, so the effective speed of the boat is (x + 4) miles per hour. The distance traveled is 96 miles. We can use the formula:

distance = rate × time

to set up an equation for the downstream trip:

96 = (x + 4) t

where "t" is the time (in hours) it takes for the downstream trip.

For the upstream trip, the current is working against Mackenzie, so the effective speed of the boat is (x - 4) miles per hour. The distance traveled is still 96 miles, but this time the trip takes 16 hours longer than the downstream trip. So we can set up another equation:

96 = (x - 4) (t + 16)

Now we have two equations with two unknowns (x and t). We can solve for t in the first equation and substitute into the second equation:

96 = (x - 4) (t + 16)

96 = (x - 4) (96/(x + 4) + 16)

Simplifying, we get:

96 = (x - 4) (96/(x + 4) + 16)

96 = 96(x - 4)/(x + 4) + 16(x - 4)

96(x + 4) = 96(x - 4) + 16(x + 4)(x - 4)

96x + 384 = 96x - 384 + 16(x^2 - 16)

96x + 384 = 96x - 384 + 16x^2 - 256

16x^2 = 256 + 384 + 384

16x^2 = 1024

x^2 = 64

x = 8

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Answer:

it's not proportional

Answer:

Below

Step-by-step explanation:

● Orders of 8 gallons or more can be modeled as: x》 8

● For each gallons in the situation above the company charges 11.99 per gallon so: 11.99x

● For orders that are less than 8, the comapny charges 14.78 per gallon

● => 14.78x for x < 8

So the function that represent the situation is the second one

Answer:

hi

Step-by-step explanation:

The boat must move 785.82 m closer to the cliff  for the angle of depression to become 19°.

We need to find how much closer to the cliff the boat must move for the angle of depression to change from 7° to 19°.

Calculate the distance from the boat to the base of the cliff at 7° angle of depression.
Using the tangent function, we have:
tan(angle) = height/distance
tan(7°) = 150m/distance
distance = 150m/tan(7°)

distance=1221.49

Calculate the distance from the boat to the base of the cliff at 19° angle of depression.
Using the tangent function, we have:
tan(angle) = height/distance
tan(19°) = 150m/distance
distance = 150m/tan(19°)

distance=435.6665

Calculate the difference between the two distances to find out how much closer the boat must move.
difference = distance at 7° angle of depression - distance at 19° angle of depression

Plugging in the values from Steps 1 and 2, we get:
difference = (150m/tan(7°)) - (150m/tan(19°))

difference=1221.49-435.6665

difference=785.8235

After calculating, we find that the boat must move approximately 785.82 meters closer to the cliff for the angle of depression to change from 7° to 19°.

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