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3 years ago

Find the common difference of the arithmetic sequence 13,10,7

Mathematics

1 answer:

Hunter-Best [27]3 years ago

4 0

Answer:

-3 I think

Step-by-step explanation:

well 10-7=3 and 13-10=3

but since it is greater number first it would make it a -3

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What is the amplitude, period, and phase shift of y= 5cos( x/2 + 2pi/3)

nordsb [41]

Y = A cos(Bx + C)
A - amplitude
$\frac{2\pi}{B}$ - period
$- \frac{C}{B}$ - phase shift

$y=5\cos{( \frac{x}{2} + \frac{2\pi}{3} )}
\\
\\y=5\cos{( \frac{1}{2}x + \frac{2\pi}{3})}
\\
\\A=5,B= \frac{1}{2},C= \frac{2\pi}{3}$

Amplitude: 5
Period: $\frac{2\pi}{B}=\frac{2\pi}{\frac{1}{2}}=4\pi$
Phase shift: $- \frac{C}{B} =- \frac{\frac{2\pi}{3}}{\frac{1}{2}}= -\frac{4\pi}{3}$

3 0

3 years ago

Which expression is equivalent to 3⁴ . 3-⁹

grigory [225]

Answer:

3^-5 or 1/3^5(b)

Step-by-step explanation:

3⁴•3^-9

When bases are same powers are to be added

So the above expression becomes

3^4+(-9)

3^4-9

3^-5

5 0

4 years ago

Read 2 more answers

0.8x = 12. Solve for X. PLEASEEE HELPPP!!

kenny6666 [7]

Answer:

x-15

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Someone please help me with thiss

Olenka [21]

Answer:

The total trip will be 4 hours long.

Step-by-step explanation:

The length of the trip decreases by 65/2 miles for every half hour. So in 2 half hours (or 1 hour), Aubree would have traveled the last 65 miles she needed.

7 0

3 years ago

What lump sum must be invested at 9%, compounded monthly, for the investment to grow to $72,000 in 6 years?

lana [24]

Answer: $42042.50

Step-by-step explanation:

We need to use algebra and equations.

A = P x (1 + (R/n)/100)^nt

our amount (A) is $72K

the number of times we compound the money (n) is 12 (12 months in a year, 'compounded monthly')

our rate (R) is 9 (9%)

our time (t) is 6 (6 years)

we need to find our principal/initial amount (p)

72000 = p x (1 + 0.0075)^12x6

p = $42042.50

6 0

3 years ago