Suree can run 6 miles per hour. One mile is equal to 5280 feet. What is her running speed in feet per minute?A. 14.67 ft per minute
B. 88 ft per minute
C. 5528 ft per minute
D. 860 ft per minute

Answers

Answer 1

Answer: It's probably B. 88 ft per minute.
on the calculator, I got 880, but the zero's don't matter sometimes, so I believe it's B.

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The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, P, a certain interest rate, r, and over time, t. What is the value for r, after the equation is rearranged?r equals start fraction cap a plus p over p t end fraction
r equals start fraction cap a minus p over p t end fraction
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r = A − p − pt

Answers

A=p+prt
minus p both sides
A-p=prt
divide both sides by pt
$(A-p)/(pt)=r$
dunno what a fraction cap is
I would guess it is the 2nd one

Answer:

The answer is B, r = "A - p / pt."

Step-by-step explanation:

I just took the test and got a 100% with this answer. I hope this helps!

If the circumference of a circle is 8 pi what is the area of the circle

Answers

The equation for this problem would be A=C^2 divided by 4pi. Plugging in with the numbers it would be, 8pi^2 / 4pi. This then comes to the new equation 64pi / 4 pi when solving this it comes to the solution if 16 being the answer.

Answer: 16

8pi=c
8=d
4=r
4^2pi=a
a=16pi

A hobby shop has 4 times as many model airplanes as model helicopters. The total number of models is 35. How many model airplanes does the hobby shop have?

Answers

let's call airplanes "a" and helicopters "h".

The total number of models is 35. This means that a+h=35

4 times as many model airplanes as model helicopters. This means a=4h.

we can substitute this into the previous equation:

4h+h=35
5h=35

dividing by 5:

h=7

so he has 7 helicopters and 4*7=28 airplanes

Let f be the function defined by f(x) =x^4 -3x^2 +2A)find the zeros of f
B)write an equation of the line tangent to the graph of f at the point where x=1
C) find the x coordinate of each point at which the line tangent to the graph of f is parallel to the line y=-2x+4

Answers

A convenient way to find the zeros of $f(x)=x^4-3x^2 +2$ is by factoring.

a) The equation,

$x^4-3x^2 +2=0$

can be rewritten as,

$(x^2)^2-3(x^2) +2=0$

We can think of this equation as a quadratic equation in $x^2$ , with $a=1,b=-3\:\: and \:\: c=2$ .

Observe that $ac=1 * 2=2$ .

We find two factors of 2 that adds up to $-3$ . These are, $-2,-1$ .

Now let us split the middle term. to obtain;

$(x^2)^2-(x^2) -2(x^2)+2=0$

We can factor to get,

$(x^2)(x^2-1)-2((x^2-1)=0$

We factor further to obtain;

$(x^2-1)((x^2-2)=0$

$\Rightarrow (x-1)(x+1((x- √(2))(x+ √(2))=0$

Hence the zeroes of $f(x)$ are;

$x=1,x=-1,x= √(2),x=- √(2)$

b) To find the line tangent, we must first, find the slope using differentiation. That is,

$Slope\:\: function=f'(x)=4x^3-6x$

At $x=1$ ,

$Slope=f'(1)=4(1)^3-6(1)=-2$

Also, we need to determine the $y$ value at $x=1$ . That is;

$f(1)=(1)^4-3(1)^2+2=0$

Now we can use the slope $m=-2$ and the point $(1,0)$ to write ythe equation of the line tangent.

$y-y_1 =m(x-x_1)$

$\Rightarrow y-0 =-2(x-1)$

$\Rightarrow y=-2x+2$

If the line tangent is parallel to the line $y=-2x+4$ , then

$f'(x)=-2$

Since parallel lines have the same slope.

$\Righarrow 4x^3-6x=-2$

$\Righarrow 4x^3-6x+2=0$

$\Righarrow (x-1)(2x- ( √(3)-1)(2x+ ( √(3)-1)=0$

Hence the x-coordinates are,

$x=1,x= ( √(3)-1)/(2),x= -(√(3)-1)/(2)$

The zeros of the function can be determined by equating the equation to zero and determining the values of x.
0 = x4 - 3x2 + 2 the roots are x1 = sqrt 2 x2 = -sqrt 2x3 = 1x4 = -1
The tangent line is determined by differentiating the polynomial and substituting x by 1 to get the slope. That is, m = 4x^3 - 6 x = 4*1 - 6 = -2y-y1 = m(x-x1)when x =1 , y = 1-3+2 = 0
y - 0 = -2*(x-1)y = -2x + 2
c. y = -2x + 4 m = -2 -2 = 4x3 - 6x x= -1.3666 ; y =-0.1160 x= 1.3666 ; y =--0.1160
x =1 ; y = 0

Using the example above, the new high way will be a total of 54 miles long. Will the highway be finished in 8 months

Answers

The above problem is incomplete. I have read the whole problem.

Given:
54 miles long highway
5 3/5 miles constructed per month.

Will the highway be finished in 8 months?

5 3/5 ⇒ ((5*5)+3)/5 = 28/5

28/5 * 8/1 = 28*8 / 5*1 = 224/5 = 44.8 miles or 44 4/5 miles

No. The highway can not be finished in 8 months. Only 44.8 miles or 44 4/5 miles will be constructed by that time.

54 ÷ 28/5 = 54 * 5/28 = 54*5 / 28 = 270 / 28 = 9.64 months or 9 18/28 or 9 9/14 months must be spend to complete the highway.

The base of a right prism is a square with edge 4 . The volume is 128 . The height is ?

Answers

Volume = (length) x (width) x (height)

Height = (Volume) / (length x width) = 128 / (4 x 4) = 128/16 = 8 .

h $=128/(4^2) \n =128/16 \n =8$

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Can someone help me ? Please

Suree can run 6 miles per hour. One mile is equal to 5280 feet. What is her running speed in feet per minute?A. 14.67 ft per minute B. 88 ft per minute C. 5528 ft per minute D. 860 ft per minute

Answers

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Suree can run 6 miles per hour. One mile is equal to 5280 feet. What is her running speed in feet per minute?A. 14.67 ft per minute
B. 88 ft per minute
C. 5528 ft per minute
D. 860 ft per minute