Brenda needs to solve the system of linear equations below for her homework assignment. y = 9x – 70 y = 2x – 32 Which is a reasonable estimate of the solution to this system of linear equations?

A. (8, -25
B. (7, -24)
C. (5, -22)
D. (3, -20)

Answer:

50mph

Step-by-step explanation:

Given the following :

Distance (d) of journey = 20 miles

Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction

Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey

Speed of plane in still air

Outbound trip :

Velocity = Distance / time

Time = distance / velocity

Velocity = (v - 30) due to head wind

Return Velocity (V +30) due to tail wind

Outbound time = return distance

20 / (v - 30) = 20 / (v +30) + 0.75

20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675

600 = 0.75v^2 - 1275

0.75v^2 = 1875

v^2 = 1875/ 0.75

v^2 = 2500

v = sqrt(2500)

v = 50mph

Answer:

36

Step-by-step explanation:

\( In\: \triangle ABR \:\&\: \triangle ANH\)

BR || HN(Given)

Therefore,

\( \angle ABR \cong \angle ANH\) (Alternate angles)

\( \angle BAR \cong \angle HAN\) (Vertical angles)

\( \therefore \triangle ABR \sim \triangle ANH\) (AA postulate)

\( \therefore \frac{AB}{AN} =\frac{BR}{HN} \) (csst)

\( \therefore \frac{x}{16} =\frac{27}{12} \)

\( \therefore \frac{x}{16} =\frac{9}{4} \)

\( \therefore x =\frac{9\times 16}{4} \)

\( \therefore x ={9\times 4} \)

\( \therefore x =36 \)

The annual average runoff for the watershed is 100 mm.

To determine the annual average runoff, we need to calculate the difference between the precipitation and evapotranspiration.

Given:
Precipitation = 300 mm
Evapotranspiration = 200 mm

To find the annual average runoff, we subtract the evapotranspiration from the precipitation:

Annual Average Runoff = Precipitation - Evapotranspiration

Annual Average Runoff = 300 mm - 200 mm

Annual Average Runoff = 100 mm

Therefore, The watershed's average annual runoff is 100 mm.

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A unit of measurement which is equal to one thousands meters is known as one kilometers.

Therefore, the given units of measurement equal to one thousand meters is called one - kilometers.

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Answer:

8/3

Step-by-step explanation:

Lori and Mike Boyd both they stay within the FHA recommendation.

FHA loans come in 15-year and 30-year terms with fixed interest rates. The agency's flexible underwriting standards are designed to help give borrowers who might not qualify for private mortgages a chance to become homeowners

To calculate this:

Total annual expenses = Mortgage payments + Insurance premiums + Real estate taxes

With the values:

\(T== $25,484.60 + $1,356.00 + $12,240\\T== $39,080.60\)

Make this a monthly expanses:

\(T= $39,080.60 / 12\\T= $3,256.72\)

Calculate the gross income:

Monthly expenses / Monthly gross income

With the values:

\(3,256.72 / 13,395.00=0.243\)

If you put this value in percentage will be 24.3% which is low than 43%, so we can say that both are in the FHA recommendation.

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The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

...............i think

Answer:

63/10 would be a simplified fraction

Step-by-step explanation:

You convert 6.30 to a mixed number by placing the numbers right of the decimal over 10, reduce the fraction, then convert it to ana improper fraction by  multiplying the denominatior by the whole number and adding the numerator to get a new numerator. You then place this over the original denominator

Answer:

9.1

Step-by-step explanation:

Let,

hypotenuse = 12.3 cm

perpendicular = 8.2 cm

base = y cm

(hypotenuse)^2 = (perpendicular)^2 + (base)^2

(12.3)^2 = (8.2)^2 + y^2

151.29 = 67.24 + y^2

151.29 - 67.24 = y^2

.: y^2 = 84.05

y = √84.05

y = 9.1

Answer:

m = 5

Step-by-step explanation:

-9 - m = -4 -2m

-m = -4 +9 - 2m

-m = 5 -2m

2m - m = 5

m = 5

In order to build a cutlery holder with a slope of 0.7, Sam needs to determine the height of each vertical column, labeled 'a', 'b', 'c', 'd', and 'e'.  Sam will be able to create a cutlery holder with a slope of 0.7.

To calculate the height of each vertical column, Sam needs to understand the concept of slope. Slope is the ratio of the vertical change (rise) to the horizontal change (run). In this case, the slope is given as 0.7.

Let's assume that the horizontal distance between each column is equal. We can assign a standard value of 1 unit for the horizontal run between columns.

To find the vertical rise for each column, we can multiply the horizontal run by the slope. Therefore, the height of column 'a' would be 0.7 units, column 'b' would be 1.4 units (0.7 * 2), column 'c' would be 2.1 units (0.7 * 3), column 'd' would be 2.8 units (0.7 * 4), and column 'e' would be 3.5 units (0.7 * 5).

By assigning these respective heights to each vertical column, Sam will be able to create a cutlery holder with a slope of 0.7.

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The general solution to the differential equation `dy/dx = cos(8x)cos(4y)` is given below:Main Answer:Separating the variables in the given differential equation, we have `dy/cos(4y) = cos(8x) dx`Integrating both sides, we get:`1/4 sin(4y) = 1/8 sin(8x) + C`where C is the constant of integration.

Now, solving for y, we get:`y = 1/4 sin^{-1}(2sin(8x) + C)`where `sin^{-1}` denotes the inverse of sine function. So, this is the general solution to the given differential equation.Explanation:Given differential equation:`dy/dx = cos(8x)cos(4y)`Separating the variables:`dy/cos(4y) = cos(8x) dx`Integrating both sides:`∫ dy/cos(4y) = ∫ cos(8x) dx``1/4 ∫ sec^2(4y) dy = 1/8 sin(8x) + C``1/4 tan(4y) = 1/8 sin(8x) + C`

Now, solving for y:`tan(4y) = 1/2 sin(8x) + C`Dividing both sides by 4, we get:`y = 1/4 tan^{-1}(1/2 sin(8x) + C)`However, the inverse of the tangent function is a bit messy, so we use the identity:`tan^{-1}(x) = 1/2 i ln((i+x)/(i-x))`where `i` is the imaginary unit. Plugging in, we get:`y = 1/4 i ln((i+1/2 sin(8x) + C)/(i-1/2 sin(8x) - C))`This is the general solution to the given differential equation.

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Answer:

  ...; 0; 22

Step-by-step explanation:

The pattern appears to consist of two interleaved arithmetic sequences.

__

  Odd-numbered terms increase by 5: 2, 7, 12, 17, 22.

  Even-numbered terms decrease by 6: 18, 12, 6, 0.

The next two terms are 0 and 22.

Answer:

1/5

Step-by-step explanation:

It's already a mixed number.

The whole number part is 250 .

The fraction part is 0.025 . (Same thing as 1/40 .)

Done

The number of different sequences of crabapple recipients that are possible in a week are 14,641.

In Mrs. Crabapple's British literature class, there are 11 students, and she gives out a crabapple at the beginning of each of the 4 class meetings per week.
To determine the number of different sequences of crabapple recipients, we will calculate the number of possibilities for each class meeting and multiply them together. Since she can pick any of the 11 students for each class, there are:
11 possibilities for the first class,
11 possibilities for the second class,
11 possibilities for the third class, and
11 possibilities for the fourth class.
So, the total number of different sequences of crabapple recipients in a week is:
11 * 11 * 11 * 11 = 11^4 = 14,641 different sequences.

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Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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The statement "f(n) equals O(g(n)) and g(n) equals O(f(n)) then f(n) equals Θ(g(n))" is true.

In computer science, the O-notation and Θ-notation are used to describe the upper and tight bounds, respectively, of the running time of an algorithm. O-notation provides an upper bound on the running time of an algorithm, while Θ-notation provides a tight bound, meaning that the running time of an algorithm is both upper-bounded and lower-bounded by a certain function.

When f(n) equals O(g(n)), it means that the growth rate of f(n) is upper-bounded by the growth rate of g(n). In other words, the running time of f(n) is no greater than that of g(n), multiplied by some constant factor.

When g(n) equals O(f(n)), it means that the growth rate of g(n) is upper-bounded by the growth rate of f(n). This implies that the running time of g(n) is no greater than that of f(n), multiplied by some constant factor.

If both f(n) equals O(g(n)) and g(n) equals O(f(n)), it can be concluded that the running time of f(n) and g(n) are asymptotically equivalent. This means that their growth rates are the same, and thus f(n) equals Θ(g(n)).

In conclusion, if f(n) equals O(g(n)) and g(n) equals O(f(n)), it is true that f(n) equals Θ(g(n)), which means that the two functions have the same growth rate. This property can be useful in comparing the running time of different algorithms or in analyzing the efficiency of algorithms.

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The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.

Using a base year,the formula to calculate the Real GDP is given below:

Real GDP = Nominal GDP ÷ Deflator (in decimal)

Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100

Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000

Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,

Deflator for the year 2017 can be calculated as:

Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100

Similarly, Deflator for the year 2019 can be calculated as:

Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25

Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.

Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.

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Step-by-step explanation:

I am not sure I can see the room limitations.

what I see is that the kitchen is one large rectangle from

(-8, 8) to (0, 0).

the rec room is Amado one large rectangle from

(5, 6) to (8, -7).

I am basing the rest in this.

for the area calculations, please consider that the area of a rectangle is length × width, and the area of a triangle is half of the rectangle it splits in half with its baseline (as diagonal).

A)

area 1 =

rectangle (-8, 8) to (-5, 3)

plus

half of the rectangle (-5, 8) to (-3, 3)

3×5 + 1/2 × 2×5 = 3×5 + 1×5 = 15 + 5 = 20 yd²

area 2 =

half of the rectangle (-5, 8) to (-3, 3)

plus

rectangle (-3, 8) to (0, 3)

1/2 × 2×5 + 3×5 = 20 yd²

area 3 = area 4 =

half of the rectangle (-8, 3) to (0, 0)

1/2 × 8×3 = 4×3 = 12 yd²

B)

the total area of the kitchen is the sum of all 4 areas

20 + 20 + 12 + 12 = 64 yd²

we can also calculate this in general, seeing that the general dimensions of the kitchen are 8×8 : from (-8, 8) to (0, 0).

8×8 = 64 yd²

Answer:

This needs a graph

Step-by-step explanation:

do you have a graph there

Answer:

2x+y≥32

2x-y≤16

10≤y≤20

x≥0

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

Answer:

3 = 6 h M

Step-by-step explanation:

4 = 2 h ⋅ ( 1 M )⋅ 3 = 6 h M

you answered one of my questions before now i answer yours lol.

To evaluate the line integral using Green's Theorem, we need to find the curl of the vector field and then calculate the double integral over the region enclosed by the curve. Answer :  the critical points of the function z = (x^2 - 4x)(y^2 - 5y) are (x, y) = (0, 0) and (x, y) = (0, 4)

Given the vector field F = (xy^2, x^5), we can find its curl as follows:

∇ × F = (∂Q/∂x - ∂P/∂y)

where P is the x-component of F (xy^2) and Q is the y-component of F (x^5).

∂Q/∂x = ∂/∂x (x^5) = 5x^4

∂P/∂y = ∂/∂y (xy^2) = 2xy

Therefore, the curl of F is:

∇ × F = (2xy - 5x^4)

Now, we can apply Green's Theorem:

∮C P dx + Q dy = ∬D (∇ × F) dA

where D is the region enclosed by the curve C.

In this case, C is the rectangle with vertices (0,0), (3,0), (3,5), and (0,5), and D is the region enclosed by this rectangle.

The line integral becomes:

∮C xy^2 dx + x^5 dy = ∬D (2xy - 5x^4) dA

To evaluate the double integral, we integrate with respect to x first and then with respect to y:

∬D (2xy - 5x^4) dA = ∫[0,5] ∫[0,3] (2xy - 5x^4) dx dy

Now, we can calculate the integral using these limits of integration and the given expression.

As for the second part of your question, to find the critical points of the function z = (x^2 - 4x)(y^2 - 5y), we need to find the points where the partial derivatives with respect to x and y are both zero.

Let's calculate these partial derivatives:

∂z/∂x = 2x(y^2 - 5y) - 4(y^2 - 5y)

      = 2xy^2 - 10xy - 4y^2 + 20y

∂z/∂y = (x^2 - 4x)(2y - 5) - 5(x^2 - 4x)

      = 2xy^2 - 10xy - 4y^2 + 20y

Setting both partial derivatives equal to zero:

2xy^2 - 10xy - 4y^2 + 20y = 0

Simplifying:

2y(xy - 5x - 2y + 10) = 0

This equation gives us two cases:

1) 2y = 0, which implies y = 0.

2) xy - 5x - 2y + 10 = 0

From the second equation, we can solve for x in terms of y:

x = (2y - 10)/(y - 1)

Now, substitute this expression for x back into the first equation:

2y(2y - 10)/(y - 1) - 10(2y - 10)/(y - 1) - 4y^2 + 20y = 0

Simplifying and combining like terms:

4y^3 - 32y^2 + 64y = 0

Factoring out 4y:

4y(y^2 - 8y +

16) = 0

Simplifying:

4y(y - 4)^2 = 0

This equation gives us two cases:

1) 4y = 0, which implies y = 0.

2) (y - 4)^2 = 0, which implies y = 4.

So, the critical points of the function z = (x^2 - 4x)(y^2 - 5y) are (x, y) = (0, 0) and (x, y) = (0, 4).

To classify these critical points, we can use the second partial derivative test or examine the behavior of the function in the vicinity of these points.

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Hello!

So, using simple equation format, an equation could be:

$134.15 + $33.85 = m

Now we have to add the products.

   134.15

+   33.85

__________

    168

Originally, Ronald had $168.

waffletowne

To find the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2, we can use the following formulas:

New x-coordinate = -2 * old x-coordinate

New y-coordinate = -2 * old y-coordinate

Let's apply these formulas to each point in triangle ABC:

Point A: (-3, 4)

New x-coordinate of A = -2 * (-3) = 6

New y-coordinate of A = -2 * 4 = -8

New coordinates of A: (6, -8)

Point B: (1, 1)

New x-coordinate of B = -2 * 1 = -2

New y-coordinate of B = -2 * 1 = -2

New coordinates of B: (-2, -2)

Point C: (5, -2)

New x-coordinate of C = -2 * 5 = -10

New y-coordinate of C = -2 * (-2) = 4

New coordinates of C: (-10, 4)

Therefore, the new coordinates of the points after Louis multiplied each x-coordinate and y-coordinate of triangle ABC by -2 are:

A: (6, -8)

B: (-2, -2)

C: (-10, 4)

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Which equation represents the hanger below. x represents the triangles while y represents the square

Answer:

Step-by-step explanation:

so first divide

multiply and subtract

and think a little

there its easy :D

The vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64.

An alien from the planet Tellurango, shoots a flaming projectile straight up into the air from the edge of a cliff that is 28 meters high.The height of the projectile, h, after t seconds is modeled by a quadratic equation. The projectile reaches a maximum height of 64 meters after 6 seconds. Therefore, we can say that the vertex of the quadratic equation is (6,64).

Let's write the quadratic equation in the vertex form:y = a(x - h)² + ky = a(x - 6)² + 64

Here, the vertex of the quadratic equation is (h, k) = (6, 64)We have to find the value of "a". The value of "a" can be determined using the given points which are (0,28), (6,64).

The equation of the quadratic equation can be written as follows:y = a(x - h)² + ky = a(x - 6)² + 64.

Using the vertex form of the quadratic equation, we can say that the projectile reaches a maximum height of 64 meters after 6 seconds and the height of the cliff is 28 meters.

Hence, the equation can be written as follows:28 = a(0 - 6)² + 6428 = 36a + 6436a = - 36a = -1Therefore, the vertex form of the quadratic equation that represents the height, h, of the projectile after t seconds is given byy = -(x - 6)² + 64Answer: y = -(x - 6)² + 64.

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Answer:

4

Step-by-step explanation:

Answer:

15x = 60

Step-by-step explanation:

Hope I helped!! :)..........................................Brainliest?