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2 years ago

A pool holds 891 gallons. How many quarts is that? Group of answer choices

Mathematics

2 answers:

IrinaK [193]2 years ago

7 0

Correct answer: d) 3564

Ganezh [65]2 years ago

6 0

The answer is d 3564

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Please help! Thank you

Alex_Xolod [135]

Find the future value
A=p (1+r/k)^kt
A=3,200×(1+0.024÷4)^(4×15)
A=4,581.72
interest earned
4,581.72−3,200
=1,381.72

7 0

3 years ago

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A used car already has 40,000 miles on its odometer. The average owner will drive 12,000 miles per year.

RSB [31]

The function best models the linear relationship is y=12,000x+40,000.

6 0

3 years ago

Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If

mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

x = −1 + t, y = −2 + t, z = −1 + t .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

d2 = ( x2 , y2 , z2 )

x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

z2 = c - ( z ) = -2 - ( -1 + t ) = -1 - t

d2 = ( 4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

d1 = ( x1 , y1 , z1 )

x1 = 1

y1 = 1

z1 = 1

d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

d1.d2 = 0

( 4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

(4 - t) + (3 - t) + (-1 - t) = 0

6 -3t = 0

t = 2

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

xo ( t = 2) = - 1 + 2 = 1

yo ( t = 2) = - 2 + 2 = 0

zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0

2 years ago

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

<u>Graphs</u>

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.

Using the point (0,0):

$0=m(0)+b$

It follows that b=0

The equation now takes the form:

$w=mt$

Using the point (12,5):

$5=m(12)$

We find m:

$\displaystyle m=\frac{5}{12}$

The final equation is:

$\displaystyle w=\frac{5}{12}\cdot t$

Substituting t=1:

$\displaystyle w(1)=\frac{5}{12}\cdot (1)=\frac{5}{12}$

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:

$\boxed{\displaystyle \left(1,\frac{5}{12}\right)}$

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3 years ago

Help very easy 5th grade math im in rush

Andrei [34K]

Answer:

C. every rhombus is a parallelogram

3 0

2 years ago

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