The pumpkin patch had two corn mazes, as shown by the shaded and non-shaded sections in the model below. A model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres. Which expression is shown by the model? 28 + 14 = 7 (4 + 14) 28 + 14 = 4 (7 + 2) 28 + 14 = 4 (14 + 28) 28 + 14 = 7 (4 + 2) ;p winner get brainliest no joke

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

a. f(x) = 21 (20) +1 (25) = 445

b. The scenario is a function because each student just have to pay once.

Answer:

Step-by-step explanation:

ZTU = 75, since RTS and ZTU are vertical angles, and RTS = 75.

TZU = 43, since TZU and QZX are vertical angles, and QZX = 43.

ZUT = 180 - ZTU - TZU = 180 - 75 - 43 = 62, since triangle ZUT is shown in the diagram, and the sum of its interior angles = 180.

YUW = 180 - 79 - 62 = 39, since TUW is a straight angle, which measures 180 degrees, and angle TUW is the sum of angle ZUY and angle ZUT and angle YUW, by the diagram.

YVU = 180 - ZUY - YUW = 180 - 68 - 39 = 73, since triangle YUV is shown in the diagram, and the sum of its interior angles = 180.

YVW = 180 - YVU = 180 - 73 = 107, since YVW and YVU are supplementary.

The price per share for Interco's stock is found to be $1,957.5 million from the free cash flows over the next five years.

By extrapolating the expected future cash flows of an investment, the discounted cash flow (DCF) valuation method establishes the investment's value. DCF analysis seeks to assess the present value of a certain investment using forecasts of how much money the investment will generate in the future.

The present value of the company's anticipated future cash flows, discounted at the necessary rate of return (in this case, the WACC of 16.5%), is what is known as the intrinsic value.

The projected free cash flows over the following five years as well as the company's terminal value at the end of year five are provided. We must first determine the present value of each of these cash flows before we can determine the intrinsic value.

The present value of each cash flow can be calculated using the formula \(PV=\frac{CF}{(1 + r)^n}\)  where PV is the present value, n is the number of years, r is the discount rate, and CF is the cash flow.

Then, the PV for the first five years is given as,

\(\begin{aligned}\text{Year 1}: PV = \frac{\mathrm{\$186\;million} }{ (1 + 0.160)^1} = \mathrm{\$162\;million}\\\text{Year 2}: PV = \frac{\mathrm{\$202\;million}}{(1 + 0.165)^2} = \mathrm{\$149 \;million}\\\text{Year 3}: PV = \frac{\mathrm{\$220\;million}}{ (1 + 0.165)^3} = \mathrm{\$139 \;million}\\\text{Year 4}: PV = \frac{\mathrm{\$239\;million}}{ (1 + 0.165)^4 }= \mathrm{\$130\;million}\\\text{Year 5}: PV =\frac{ \mathrm{\$260\;million} }{(1 + 0.165)^5 }=\mathrm{ \$121 \;million}\end{aligned}\)

The terminal value is calculated by applying the following calculation to the present value of all future cash flows that occur beyond year five:

\(\begin{aligned}TV&= \frac{(FCF5 * (1 + g))}{ (r - g)}\\TV &= \frac{(\mathrm{\$260\;million} * (1 + 0))}{(0.165 - 0)} \\&= \mathrm{\$1,567\; million}\end{aligned}\)

Finally, we add up all of the present values to get the intrinsic value of Interco's stock. We could obtain the following by applying the formula:

\(\begin{aligned} IV&= \sum PV + TV - \text{Net debt}\\&=\mathrm{(\$162+\$151+\$141+\$132+\$123+\$1,567- \$318.5)\;million}\\&=\mathrm{\$1,957.5\;million}\end{aligned}\)

The required answer is $1,957.5 million.

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Answer:

Step-by-step explanation:

6

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:

only 5 points ;(

Step-by-step explanation:

Answer:

x≤-2 or x≥4

Step-by-step explanation:

Its because the direction the arrow is facing depends on the sign. So if the sign is ≤ it would go backward(or into the negatives) and its the opposite for the other sign. If the dot on the arrow it filled in then it will have a line under the sign like this: ≤. If it is a open circle it looks like this:  <.

Answer: 7/30

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

(4xy³y⁴)(5x²y)

Step 02:

This is the solution.

Answer:

Height = 167.47 cm

Step-by-step explanation:

volume of one sphere = 4/3πr³ = 4/3(3.14)(4³) = 267.9467 cm³

267.9467 cm³ x 100 spheres = 26794.67 cm³

volume of cube = L x W x H

26794.67 = 16 x 10 x H

H = 167.47 cm

Answer:5

St5ep-by-step explanation:

Answer:

A. $37,395

Step-by-step explanation:

correct on edge! hope it helps :)

The savings from the difference between the 30–year loan at 11%, which

is 6% gives an interest when the mortgage is paid of approximately;

a. $37,395.18

The amount paid is given as follows;

\(Monthly \ payment, \ M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot }\left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}\)

Which gives;

\(M = \dfrac{150000 \times \left(\dfrac{0.11}{12} \right) \cdot \left(1+\dfrac{0.11}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.11}{12} \right)^{30 \times 12} - 1} \approx \mathbf{1,428.49}\)

Payment in 10 years = $1,428.49 × 120 ≈ $171,418.8

At the lower interest rate the person could have received (11 - 6 = 5)%, we have;

\(M = \mathbf{\dfrac{150000 \times \left(\dfrac{0.05}{12} \right) \cdot \left(1+\dfrac{0.05}{12} \right)^{30 \times 12} }{\left(1+\dfrac{0.05}{12} \right)^{30 \times 12} - 1}} \approx 805.23\)

Payment in 10 years = $805.23 × 120 ≈ $92,227.6

Savings = $171,418.8 - $96,627.6 = $74,791.2

The time duration the savings is invested in the account = 30 years - 10 years = 20 years

Which gives;

Simple interest  after 20 years = $74,791.2 × 0.025 × 20 ≈ $37,396.6

Therefore;

The option that best gives the amount of money that would have accumulated in interest is the option a.

a. $37,395.18

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Answer:

in inches its 98.96 in feet its 8.247

Answer:

is this supposed to be a question?

Step-by-step explanation:

Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Jameson will have about $267.58 less in his account than Quincy.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Here, Jameson deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % SI per annum.

For simple Interest,   Amount = P(1+RT)

Total amount in Jameson at the end of 5 years = 7000 ( 1 + 0.06 X 5)

                                                          = 7000 X 1.3

                                                         = $ 9100

Quincy deposit Principal = $ 7000

           Duration = 5 years

           Rate of interest = 6 % CI per annum.

For Compound Interest,   Amount = P(1+R)ⁿ

Total amount in Quincy at the end of 5 years =  7000 ( 1 + 0.06)⁵

                                                                           = 7000 X 1.34

                                                                           = $ 9367.58

Thus, Jameson will have about $267.58 less in his account than Quincy.

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Answer:1285.7 meters per second.

Step-by-step explanation: divide 900,000 meters by 700 seconds

Answer:

A plane travels 360,000 meters in 900 seconds

Step-by-step explanation:

The incorrect statement is:

B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.

In the given statement, there is an error in the inequality. The correct statement should be:

The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.

When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:

- 5x < 15x^2 and 15x^2 < 3

Simplifying the first inequality:

- 5x < 15x^2

Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:

- 5 < 15x

Simplifying the second inequality:

15x^2 < 3

Dividing by 15, we get:

x^2 < 1/5

Taking the square root (assuming x ≥ 0), we have two cases:

x < 1/√5 and -x < 1/√5

Combining these inequalities, we get:

- 5 < 15x and x < 1/√5 and -x < 1/√5

Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.

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Answer:

F

E or C (depending on the actual angles - see below in the details)

Step-by-step explanation:

two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.

that means they must both have the same angles and side lengths.

these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :

SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.

SAS (Side-Angle-Side) - 2 sides and one angle are the same

ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same

AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same

RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.

so, now look at a).

we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.

therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).

but we can say that they could be congruent.

and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.

now looking at b)

I am not sure I can read one of the given angles correctly.

case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle

180 - 66 - 58 = 56

but triangle 1 has the angles of 68, 54 and

180 - 68 - 54 = 58

=> the three angles are not the same, so the triangles are definitely not congruent

case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle

180 - 68 - 58 = 54

and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C

HELLO

I NEEDED HELP WITH THE SAME QUESTION SO I PUT IT UP WITH A PIC SO U CAN ALSO GET AN ANSWER FROM THERE

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Answer:

heyy i did this problem a while ago and got kinda stuck on it

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Answer:

(2,-1) _______________

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

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

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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The solution is, the percent of error, rounded to the nearest percent is 25%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

given that,

While viewing a herd of cattle on a ranch, Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

now, we have to find the percent of error, rounded to the nearest percent.

so, we get,

Herbert estimated that there were 750 cattle in the herd.

The actual number of cattle in the herd was 600.

so, error = 750 - 600

              = 150

so, we get,

the percent of error = 150 * 100 / 600

                                 = 25%

Hence, The solution is, the percent of error, rounded to the nearest percent is 25%.

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