Line q has a slope of 4 and line r has a slope of –1/4.

They are:


Select one:
a. parallel
b. the same
c. perpendicular
d. supplementary
e. none of the above

Answer:

They sold 78 Hot Dogs and 156 Sodas

Step-by-step explanation:

Hope this Helps

When Danny has lots of energy, his mom tells him to do laps around the block. His block is 66 yards wide and 80 yards long. There are 292 yards are in one lap around Danny's block.

The perimeter of a rectangle is the total length or distance from its border on all sides. The perimeter of a rectangle is a linear measurement expressed in linear units such as meters, feet, inches, or meters

The block is a rectangle with 80 yd length and 66 yd width. We need the perimeter of the block, which is the perimeter of the rectangle.

P = 2L + 2W

P = 2(80 yd) + 2(66 yd)

P = 160 yd + 132 yd

P = 292 yard

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Answer:

To find the area of the six-sided composite figure, we can divide it into two smaller shapes: a rectangle and a triangle.

The rectangle has a length of 8 meters and a width of 18 meters, so its area is:

8 meters × 18 meters = 144 square meters

The triangle has a base of 18 meters and a height of 8 meters, so its area is:

(1/2) × 18 meters × 8 meters = 72 square meters

The total area of the six-sided composite figure is the sum of the areas of the rectangle and the triangle:

144 square meters + 72 square meters = 216 square meters

Therefore, the total area of the figure is 216 m².

Option (B) 216 m²

GIVEN

Vertical line on the left is labeled 10 meters. The base is labeled 18 meters. there is a small portion from the vertical line that is parallel to the base that is labeled 5 meters. this portion leads to two segments that come to a point, and from that point, there is a height of 2 meters labeled.

TO FIND

The area of the figure.

SOLUTION

The above problem can be simply solved as follows —

The composite figure is rectangle and 2 triangles.

Length of the Rectangle = 10 meters

Width of Rectangle = 18 meters 

Area of Rectangle = Length × Breath 

                               = 10 × 18 

                               = 180 meter²

Base of Triangle = 18 meters

Height of Triangle = 2 meters 

Area of Triangle = (1/2) × base × height

                            = (1/2) × 18 × 2 

                            = (1/2) * 36

                            = 18 m²

Total number of triangles = 2

Total area of Triangles = Area of triangle * Number of Triangles

                                       = 18 * 2

                                       = 36 m²

Total area of the figure = 36 + 180 = 216 m²

Hence, The answer is 216 m².

Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer:

this

Step-by-step explanation:

but fr 1st one 3rd one and 5th one

Answer:

The answers are the second to last on the bottom.

Step-by-step explanation:

If you were to add the exponents, 5 and 4 will give you 9, so it will look like

\(7x^{4} + 7x^{5} = 7x^{4 + 5}\)

Therefore, the answer is the 4th one.

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Answer:

y = | x | + 1

Step-by-step explanation:

Given y then y + c represents a vertical translation of y

•  If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the shift is 1 unit up, thus

y = | x | + 1

Step-by-step explanation:

The equation is y = 50x.

The expressions which is not equivalent to 5x - 15 are:

−5(x+3)

−3(−53x+5)

−15(−25x+75)

The correct answer options are options A, C and D

Equivalent equations refers to algebraic equations which have identical roots or solutions.

We get an equivalent equation by adding or subtracting the same number or expression to both side of an equation and also by multiplying or dividing both sides of an equation by the same non zero number we get equivalent equation.

5x - 15

Check all options:

A. −5(x+3)

open parenthesis

= -5x - 15

False

B. 5(x−3)

Open parenthesis

= 5x - 15

True

C. −3(−53x+5)

= 159x - 15

False

D. −15(−25x+75)

open parenthesis

= 375x - 1125

False

Therefore, 5(x−3) is the equivalent equation for 5x - 15

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Using the graph method, Central Fabric should determine the most profitable numbers of bolts to purchase from mills A and B by considering profit calculations, supply and demand constraints, and plotting a profit graph.

To determine the most profitable numbers of bolts that Central Fabric should purchase from mills A and B using the graph method, we need to create a profit graph based on the given information.

Start by calculating the total available supply for each market channel:

Fabric Stores: (0.40 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Discount Stores: (0.10 * Total Bolts from Mill A) + (0.20 * Total Bolts from Mill B)

Direct Mail: (0.30 * Total Bolts from Mill A) + (0.40 * Total Bolts from Mill B)

Determine the maximum number of bolts that can be sold in each market channel:

Fabric Stores: 1,600 bolts

Discount Stores: 2,800 bolts

Direct Mail: 2,600 bolts

Calculate the profit for each combination of bolts purchased from mills A and B:

Profit from Mill A: (0.60 * Total Bolts from Mill A - 0.20 * Total Bolts from Mill A) * P8,000

Profit from Mill B: (0.80 * Total Bolts from Mill B - 0.20 * Total Bolts from Mill B) * P6,000

Plot the profit graph by considering different combinations of Total Bolts from Mill A and Total Bolts from Mill B, while taking into account the constraints of available supply and market demand.

Find the combination of Total Bolts from Mill A and Total Bolts from Mill B that maximizes the profit while satisfying the supply and demand constraints. This point on the graph represents the most profitable numbers of bolts to purchase from mills A and B.

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The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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The equilibrium forward rate can be calculated based on the interest rate differentials between the two countries. In this case, with a spot rate of $1.91/Pound, a US interest rate of 3.19%, and a UK interest rate of 10.68%, the equilibrium forward rate can be determined.

The equilibrium forward rate can be calculated using the interest rate parity principle, which states that the difference in interest rates between two countries should equal the expected change in the exchange rate. In this case, the interest rate differential between the US and the UK is 7.49% (10.68% - 3.19%). According to interest rate parity, the equilibrium forward rate should reflect this interest rate differential.

To calculate the equilibrium forward rate, we can use the formula:

Forward Rate = Spot Rate x (1 + Domestic Interest Rate) / (1 + Foreign Interest Rate)

Plugging in the values, we get:

Forward Rate = $1.91 x (1 + 0.0319) / (1 + 0.1068)

Calculating the equation yields the equilibrium forward rate.

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Answer:

\( \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4\)

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

\(MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1\)

Step-by-step explanation:

We have the following dataset given:

0.4,0.2,0.4,0.6

In order to calculate the MAD we need to calculate the sample mean first with this formula:

\(\bar X = \frac{\sum_{i=1}^n X_i}{n}\)

Replacing we got:

\( \bar X = \frac{0.4+0.2+0.4+0.6}{4}= 0.4\)

Now we can calculate the absolute deviations from the mean for each value:

|0.4-0.4|=0

|0.2-0.4|=0.2

|0.4-0.4|=0

|0.6-0.4|=0.2

And adding these 4 values and dividing by 4we got the MAD on this case:

\(MAD = \frac{0+ 0.2+0 +0.2}{4}=0.1\)

Answer:

0.1

Step-by-step explanation:

Khan Academy

Answer:

This is prime.  (No factors),

Step-by-step explanation:

3x^2 + x + 15.√

This is not possible

Find complex roots using the formula

x = [-1 +/- √1^2 - 4*3*5)] / 6

x = -1/6 +/- √-179) / 6

x = -1 +/- i√179/ 6

So we can write the factors as:

(x - (-1 - i√179/ 6)(x  - (-1 + i√179/ 6)

= (x + 1 + i(√179/ 6)) (x + 1 - i(√179/ 6))

Maybe that is what they want.

Answer:

you currently have the value of x × 7, you need to divide it by 7 to find the value of x.

42 ÷ 7 = 6

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c

For the g(x) functions provided, here are their key features:

g(x) = (x + 2)(x − 1)(x − 2)

End behavior: As x approaches negative or positive infinity, g(x) approaches positive infinity.

Y-intercept: g(0) = -4

Zeros: x = -2, 1, 2

Ray and Kelsey could both be accurate, all depending on the stated third-degree polynomial function.

It is conceivable for a third-degree polynomial to present up to three zeros, thus corroborating Kelsey's point that the function can have up to three intersection points with the x-axis maximum. Moreover, it can even occur that this function possesses a repeatable zero, causing a fourth interception.

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If Bernadette needs 2 square yards of green fabric, 5 square yards of purple fabric and 11 square yards of white fabric, then needs a total of 162 square feet of fabric for her quilt.

To calculate the total square feet of fabric needed, we need to convert the square yards to square feet. Since 1 yard is equal to 3 feet, we can use the conversion factor of 1 square yard = 9 square feet.

The fabric needed in square feet:

Green fabric: 2 square yards * 9 square feet/yard = 18 square feet

Purple fabric: 5 square yards * 9 square feet/yard = 45 square feet

White fabric: 11 square yards * 9 square feet/yard = 99 square feet

Total fabric needed: 18 square feet + 45 square feet + 99 square feet = 162 square feet.

Therefore, Bernadette needs a total of 162 square feet of fabric for her quilt.

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An estimate of DEF Company's cost of equity is 7.14%.

To estimate the cost of equity, we can use the dividend growth model. The formula for the cost of equity (Ke) is: Ke = (Dividend per share / Current share price) + Growth rate

Given data:

The cost of equity iss:

Ke = ($0.55 / $16) + 0.037

Ke ≈ 0.034375 + 0.037

Ke ≈ 0.071375.

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Both the cost of equity and the cost of preferred stock play important roles in determining a company's overall cost of capital and the required return on investment for different types of investors.

To estimate DEF Company's cost of equity, we need to calculate the dividend growth rate and use the dividend discount model (DDM). The cost of preferred stock can be found by dividing the fixed dividend by the current price of the preferred stock.

The calculations will provide the cost of equity and cost of preferred stock as percentages.

To estimate DEF Company's cost of equity, we use the dividend growth model. First, we calculate the expected dividend for the next year, which is given as $0.55 per share.

Then, we calculate the dividend growth rate by taking the expected growth rate of 3.7% and converting it to a decimal (0.037). Using these values, we can apply the dividend discount model:

Cost of Equity = (Dividend / Current Share Price) + Growth Rate

Plugging in the values, we get:

Cost of Equity = ($0.55 / $16) + 0.037

Calculating this expression will give us the estimated cost of equity for DEF Company as a percentage.

To calculate the cost of preferred stock, we divide the fixed dividend per share ($1.8) by the current price per share ($27.6). Then, we multiply the result by 100 to convert it to a percentage.

Cost of Preferred Stock = (Fixed Dividend / Current Price) * 100

By performing this calculation, we can determine DEF Company's cost of preferred stock as a percentage.

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Answer:

D

Step-by-step explanation:

Integers found in:

A: -5, 9/3 = 3

B: 4

C: -12

Hope this helped! ^^

Answer:

an=101+13(n−1)

an+1=an+13, a1=101

The length of the side ML of the trapezoid JKML is 58 units.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

We know the midsegment of a trapezoid is half of the sum of the two parallel sides.

Therefore, {(3x + 11) + (10x - 12)}/2 = 45.

3x + 11 + 10x - 12 = 90.

13x - 1 = 90.

13z = 91.

x = 91/13.

x = 7.

So, The length of ML is 10(7) - 12 = 70 - 12 = 58 units.

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Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

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Answer:

x = 5

Step-by-step explanation:

-7(-1 + 3x) - 7x = -133

According to PEMDAS, we want to look at the parentheses first.

In this case, the expression within the parentheses is already fully simplified. There are no exponents, so we will move on to multiplication. Distribute the -7 across the parentheses.

7 - 21x - 7x = -133

Now combine the variables.

-21x - 7x + 7 = -133

-28x + 7 = -133

Now combine the constants.

-28x = -140

isolate x by dividing both sides by -28.

x = 5

Check this by plugging this value back into the original equation.

-7(-1 + 3(5)) - 7(5) = -133

Follow PEMDAS (the underlined values are the components we handled)

-7(-1 + 15) - 7(5) = -133

-7(14) - 7(5) = -133

-98 - 35) = -133

-133 = - 133

Your answer is correct.

Hope this helps!

Answer:

x = 5  

Step-by-step explanation:

To solve an equation, isolate the variable.

1) Expand the left side of the equation. Distribute the -7 to the terms inside the parentheses.

\(-7(-1+3x)-7x = -133\\7 -21x-7x = -133\)

2) Then, combine like terms. Combine -21x and -7x to make a single x-term and subtract both sides by -7.

\(7-28x=-133\\-28x=-140\)

3) Then, divide both sides by -28 to find the answer.

\(-28x = -140\\x = 5\)

Answer:

Option D --->  y=5x

Step-by-step explanation:

When a line is directly proportional it means it crosses the origin so has a y- and x-intercept of 0.

So if we use the format y=mx+c, it will work but our c value will be 0 as I explained above .

To work out the gradient we simply take 2 points (0,0) and (1,5)) on the graph and use the gradient formula :

m = change in y ÷ change in x

m = 5÷1

m = 5

Therefore our direct proportion equation will be y=5x

Hope this helped and have a good day

If a relationship R fulfills the three conditions of being transitive, symmetric, and reflexive, then R is said to be an equivalence relation.

When (a, a) € R for any element a € A, we say that R is reflexive on A.

When (b, a) €R for every (a, b) €R, we say that the relation R on A is symmetric.

If (a.b) € R and (b, c) € R implies (a, c) € R, then R is transitive on A.

If you have an a, you may think of all the components that are equivalent to it as its equivalence class.

A=College buildings

We need to define three sets of things that are the same. For instance:

R1 = "(a, b) Both a and b have the same number of rooms."

R2=(a,b): Both a and b have the same number of floors.

R3=(a,b), which means that both a and b have the same number of windows.

Note: If the statement says that a and b have the same property, the relation is probably an equivalence relation.

The set of all elements that are related to an is its equivalence class.

[a]R1,= {b|b has the same number of rooms as a}

[a]R2 = {b|b has the same number of floors as a}

[a]R3= {b|b has the same number of windows as a}

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Answer:

\(1a. \: = 20 + 200.( \frac{1}{2})^{ \frac{t}{10} }\)

\(1b. \: = 91^{o} c\)

\(1c. \: = 30 \: minutes\)

Step-by-step explanation:

\(1a. \: t = a + b. {c}^{t}\\ a = 20\)

\(t(0) = a + b = 220 = > b = 200 \\ c = (\frac{1}{2})^{ \frac{1}{10} } \)

\(t = 20 + 200.( \frac{1}{2} )^{ \frac{t}{10} } \)

\(1b.when \: t = 15 \\ t = 20 + 200.( \frac{1}{2})^{ \frac{15}{10} } \\ = 20 + 71 \\ = 91^{o}c\)

\(1c.when \: t \: = 45 \\ 20 + 200. (\frac{1}{2} )^{ \frac{t}{10} \: } = 45 \\200.( \frac{1}{2})^{ \frac{t}{10} } = 25 \\ ( \frac{1}{2} )^{ \frac{t}{10} } = \frac{1}{8} \\ \frac{t}{10} = 3\)

\(t = 30\)