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aleksklad [387]
3 years ago
7

Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed,

and the diameter of the tire is 3 feet.
Which rule could model the height of the nail from the ground?

a) f(x)=1.5cos(16πx)+1.5
b) f(x)=1.5cos(16πx)−1.5
c) f(x)=3cos(16πx)+3
d) f(x)=16πcos(1.5x)+3
Mathematics
1 answer:
Paul [167]3 years ago
7 0

Answer:

f(x)=1.5cos(16πx)+1.5

(Question on a Quiz was correct)

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Factor this expression completely.
morpeh [17]

3(x-t) + m(x-t) = (3+m)(x-t)

6 0
3 years ago
Solve for b Help pls thanks!:) see photo
s2008m [1.1K]

Answer:

b = -9 + a + c

Step-by-step explanation:

\sqrt{a - b + c} = 3

Square both sides.

a - b + c = 9

-b = 9 - a - c

b = -9 + a + c

7 0
3 years ago
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
Misha Larkins [42]

Answer:

$167.2

Step-by-step explanation:

It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a  price of $640.00.

Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.  

A=P(1+rt), where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.

Our principal amount will be the difference of prices of new computer and refurbished computer.

\text{Principal amount}=800-640=160

\text{Interest rate}=\frac{4.5}{100}=0.045  

Upon substituting our given values in above formula we will get,

\text{Amount we will save with a refurbished computer}=160(1+0.045\times 1)

\text{Amount we will save with a refurbished computer}=160(1+0.045)  

\text{Amount we will save with a refurbished computer}=160(1.045)

\text{Amount we will save with a refurbished computer}=167.2

Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.


5 0
3 years ago
The vector v has initial point P(1, 0) and terminal point Q that is on the y-axis and above the initial point. Find the coordina
zloy xaker [14]

Answer:

The terminal point is Q(0,4)

Step-by-step explanation:

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q lies on the y-axis, thus Q have coordinates of the form:

Q(0,y)

The magnitude of the vector is \sqrt{65}

Magnitude is given by:

v = \sqrt{(x_2-x_2)^2+(y_2-y_1)^2}\\\sqrt{65}=\sqrt{(0-1)^2+(y-0)^2}\\\sqrt{65}=\sqrt{1+y^2}\\65 = 1+y^2\\y^2 = 64\\y = \pm 8

But since the terminal point is above the initial point, thus,

y > 0\\\Rightarrow y = 4

Thus, the terminal point is Q(0,4)

4 0
3 years ago
Max's Market sells 6 eggs for £2.16.
Grace [21]

Answer:

C - Fancy Foodstuffs

Step-by-step explanation:  

A = 6 eggs for £2.16

1 egg = £2.16 / 6 = £0.36

B = 8 eggs for £2.72

1 egg = £2.72 / 8 = £0.34

C = 12 eggs for £3.96

1 egg = £3.96 / 12 = £0.33

4 0
3 years ago
Read 2 more answers
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