4÷52,678
I forgot how to do division.

it can't be seen properly

The distance between the points Q and R is 7.211 units.

In geometry, an ellipse is a two-dimensional shape, that is defined along its axes. An ellipse is formed when a cone is intersected by a plane at an angle with respect to its base. It has two focal points.

Given an equation of ellipse x²/8+y²/18 =1, a line 2y = 3x intersect the ellipse at points Q and R,

x²/8+y²/18 =1........ (i)

2y = 3x....... (ii)

Use eq 2 in 1, we get

x²/8+(3x/2)²/18 = 1

On solving,  we get,

x²/4 = 1

x = ±2

And,

(2y/3)²/8+y²/18 = 1

On solving, we get,

y = ±3

Therefore, we got, y1 = 3, y2 = -3, x1 = 2 and x2 = -2

Using the distance formula, D = √(x1-x2)²+(y2-y1)²

QR = √(-2-2)²+(-3-3)² =  7.211

|QR| = 7.211

Hence, The distance between the points Q and R is 7.211 units.

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Using a system of equations, the cost of each pizza is $2.50.

A system of equations is two or more equations (or mathematical statements that claim that two mathematical expressions are equal) solved concurrently.

A system of equations is also known as simultaneous equations.

                                                  Pizzas    Sodas     Total Cost

The number Sam bought             5           2            $15.50

The number Dan bought             6            3            $19.50

Let the cost of pizzas per unit = x

Let the cost of sodas per unit = y

5x + 2y = 15.5 ...Equation 1

6x + 3y = 19.50 ...Equation 2

Multiply Equation 1 by 1.5:

7.5x + 3y = 23.25 ...Equation 3

Subtract Equation 2 from Equation 3:

7.5x + 3y = 23.25

-

6x + 3y = 19.50

1.5x = 3.75

x = 2.5

= $2.50

From Equation 1, substitute x = 2.5 to find y:

5x + 2y = 15.5

5(2.5) = 2y = 15.5

12.5 = 2y = 15.5

2y = 3

y = 1.5

= $1.50

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

They spent $63 and 12 hours each

Step-by-step explanation:

Given

Represent hour with h

For Brian;

\(Amount = 15 + 4h\)

For Latrell

\(Amount = 3 + 5h\)

Required

Find h and amount

Since, they spent the same amount

\(15 + 4h = 3 + 5h\)

Collect Like Terms

\(5h - 4h = 15 - 3\)

\(h = 12\)

Substitute 12 for h in \(Amount = 3 + 5h\)

\(Amount = 3 + 5 * 12\)

\(Amount = 3 + 60\)

\(Amount = 63\)

Answer:

(140-15)÷15=W

Step-by-step explanation:

140-15=125

125 still needed.  divide that by the amount that will be saved each week which is 15 a week and you get 8.3.  If they want an actual answer you would say 9 weeks because if you only did 8 Anthony would be short $5 so hed have to wait an additional week to have enough to cover the purchase.  So thats why the answer would be 9

Brainliest please!!!

Answer:

The slopes are perpendicular.

Step-by-step explanation:

First we are going to find the slope-inercept form from the equation, -5x + 10y = 5.

Solve for y.

-5x + 10y = 5

+5x. =+5x

10y = 5x + 5

\( \frac{10y}{10} = \frac{5x + 5}{10} \\ y = \frac{1}{2}x + \frac{1}{2} \)

So we now have

\(y = \frac{1}{2}x + \frac{1}{2} \\ and \\ y = - 2x + 4 \)

Looking at the equation above, the slopes are perpendicular.

x² + 2x -25 = 0 (option C)

Explanation:

(x-3) (x+5)=10

To find its equivalent, we need to solve the above expression.

Expand the bracket:

x(x+5) -3(x+5) = 10

x² + 5x -3x - 15 = 10

collect like terms:

x² + 2x -15 -10 = 0

x² + 2x -25 = 0

Hence, the choice equivalent to the equation is x² + 2x -25 = 0 (option C)

Answer:

the last one Denise,   is the only one that is true

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The velocity is given by:

\(\displaystyle v(t)= -2t + 8\)

And the total distance given the velocity is given by:

\(\displaystyle \int_{a}^{b}|v(t)|\, dt\)

So, the total distance traveled by the particle from t = 1 to t = 6 will be:

\(\displaystyle d=\int_{1}^{6}|-2t+8|\, dt\)

The absolute value tells us that:

\(\displaystyle |-2t+8| = \left\{ \begin{array}{ll} -2t+8 & \quad x \leq 4 \\ -(-2t+8) & \quad x > 4\\ \end{array} \right\)

So, split the integral into two parts:

\(\displaystyle d=\int_{1}^{4} (-2t+8)\, dt+\int_{4}^{6}(-(-2t+8))\, dt\)

Integrate:

\(\displaystyle d=(-t^2+8t)\Big|_{1}^{4}+(t^2-8t)\Big|_{4}^{6}\)

Evaluate:

\(\begin{aligned} d&=[(-4^2+8(4))-(-1^2+8)]+[(6^2-8(6))-(4^2-8(4)]\\ &= [16-7]+[-12-(-16)]\\ &=9+4 \\ &=13 \end{aligned}\)

Answer:

Step-by-step explanation:

(b/45) +7 > 5

(b/45) > -2

b > -90

Perimeter is 17 m ≥ 2* length 4.7 +2*widths

b. 9.4+2w ≤ 17

a. (2/7)n -10.6 < 12.4

(2/7)n <  12.4 +10.6

(2/7)n < 23

2n < 23*7

n < 161/2

n < 80.5

Result:

Mickey and Minnie Mouse will need to put $680.75 into their escrow account each month to cover the property taxes, homeowner's insurance, and flood insurance costs.

An escrow account is like a savings account that is managed by a mortgage servicer. The portion deposited into an escrow account usually covers estimated property taxes and your homeowners and mortgage insurance premiums.

To calculate the monthly amount Mickey and Minnie Mouse need to put into their escrow account for property taxes, homeowner's insurance, and flood insurance, we will first add up the total annual costs for these expenses:

Property taxes: $5,467

Homeowner's insurance: $1,440

Flood insurance: $1,262

Total annual costs = $5,467 + $1,440 + $1,262 = $8,169

Next, we divide the total annual costs by 12 to get the monthly escrow amount:

$8,169 / 12 = $680.75

Therefore, $680.75 is the amount they will need to put into their escrow account each month.

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The fraction representing the number of posters is 3/3 = 1.

If you used 1 poster for each of your 3 books, then the total number of posters used is 3. To represent this as a fraction, you need to express the number of posters used as a fraction of the total number of posters available.

Since you only used 3 posters, we need to know how many posters were available in total.

If you only had 3 posters available, then the fraction representing the number of posters used would be:

3/3 = 1

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Answer:

There are about 3.281 * 3.281 = 10.764 square feet in one square meter. Therefore, 22.5 square feet is 22.5 / 10.764 = 2.09 square meters.

Answer:

rawr

Step-by-step explanation:

gotem

Answer:

(gof) (4) = 9

Hence, option A is true.

Step-by-step explanation:

f(x)=-x³

g(x)=|1/8x -1|

(gof) (4) = g{f(4)}

First wee need to determine f(4)

f(4)=-(4)³

    = -64

so

  (gof) (4) = g{f(4)} = g(-64)

                             =  \(\left|\frac{1}{8}\left(-64\right)-1\right|\)

                             \(=\left|-\frac{1}{8}\cdot \:64-1\right|\)

                             \(=\left|-8-1\right|\)

                             \(=\left|-9\right|\)

\(\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a\)

                             \(=9\)        

Thus,

(gof) (4) = 9

Hence, option A is true.

Answer:

2.5 hours

Step-by-step explanation:

→ Write the formula

Speed = Distance ÷ Time

→ Find the distance for 3 hours at a speed of 50 mph

Distance = Speed × Time ∴ 3 × 150 = 150

→ Now work out the time

150 ÷ 60 = 2.5 hours

Answer:42

Step-by-step explanation:

I'm 99% sure your answer is B!

I hope this answer helped! please mark brainliest and vote 5 stars >:)

$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.

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Answer:

yes, it's factors are (x+4)²

Step-by-step explanation:

Answer:

It is a perfect square.

Step-by-step explanation:

Answer:add $750.00 + $1000.00 + $375.00 = $2125.00

Step-by-step explanation:

add all together. Your monthly expense of fixed amount, living, annual monthly,

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

15 17/20

Step-by-step explanation:

9 1/4+ 6 3/5= 317/20= 15 17/20

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

A sample is only a small portion of the population.

Let's imagine you were interested in determining the average income for all Americans in your population.

Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.

Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.

And the gardener decides to conduct an experiment using 28 individual plants.

Plan A will be a biased sampling and the experiment would not yield

desired results.

Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.

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Answer:

28mpg

Step-by-step explanation:

eric uses 7 gallons

drive=196 miles

196miles ÷ 7 gallons = 28mpg

eric can drive 28 miles using 1 gallon of gas