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2 years ago

SOMEONE HELP ASAP!!

Mathematics

1 answer:

Anuta_ua [19.1K]2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

(x -12)^2 + (y -7)^2 = 25

2(x -12)x' +2(y -7)y' = 0

y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

y' = -(15 -12)/(11 -7)(1) = -3/4

The distance (z) to the observer is given by the Pythagorean theorem:

z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

z' = (x(x') +(y -2)y')/z

z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

z' = 11/√544 ≈ 0.47 . . . m/s

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Brand X costs $1.65 for 11 ounces. Brand Y costs 2 cents more per ounce. What is the cost of 15 ounces of brand Y?

34kurt

Answer:

$2.25

Step-by-step explanation:

You can find the answer by setting up a simple equation.

Brand X is 1.65 for 11 ounces

we can find the cost of one ounce of Brand X by using division

1.65/11

.15

this means that for every ounce of Brand X, it costs 15 cents

Since brand Y costs two cents more per ounce that would make it be 17 cents per ounce

now all you need to do is multiply and solve.

.15 * 15 = $2.25

8 0

2 years ago

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Don works in home construction. He determined that the function t(A)=144A/9.252 gives the total number of 9 in. tiles needed to

Oksanka [162]

Answer:

6,226 tiles of 9 in are needed to cover an area of 400 square feet

Step-by-step explanation:

Let

A -----> an area in square feet

t(A) ---> the total number of 9 in. tiles needed

we have

$t(A)=\frac{144A}{9.252}$

For A=400 ft^2

substitute in the equation and solve for t

$t(400)=\frac{144(400)}{9.252}$

$t(400)=6,226\ tiles$

That means -----> 6,226 tiles of 9 in are needed to cover an area of 400 square feet

6 0

2 years ago

Math ... answer meeee

zloy xaker [14]

You need to find the GCF (greatest common factor) of 45 and 90, which is 45.

45 times ? gets you 45

? would be 1

45 times 1 equals 45.

45 times ? gets you 90

? would be 2

45 times 2 equals 90

45(1+2) = 45+90 = 135

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2 years ago

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If a1 = 8 and an = an-1 + 5 then find the value of a5.

Nimfa-mama [501]

Step-by-step explanation:

A1=8

A2=A1+5 plug 8 into A1 here. After getting the value, put into next equation. And repeat until you get A5

A3=A2+5

A4=A3+5

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2 years ago

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while

kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

$s=\frac{d}{t}$

Here:

s = speed

d = distance traveled

t = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, s₁ = 6 mph.

Distance traveled by Niles' sailboat is, d₁ = 36 miles.

Speed of Bob's sailboat is, s₂ = 16 mph.

Distance traveled by Bob's sailboat is, d₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

$t_{1}=\frac{d_{1}}{s_{1}}$

$=\frac{36}{6}\\=6$

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

$t_{2}=\frac{d_{2}}{s_{2}}$

$=\frac{96}{16}\\=6$

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

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3 years ago