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3 years ago

9

A and b have the same directions, and they both have a magnitude of 6. What must be true about

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

A

Step-by-step explanation:

Both vectors have the same length/ magnitude, so they are equal and since they are going the same direction, they're also parallel and won't touch.

(Just took the quiz btw)

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The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

IrinaVladis [17]

I believe the answer is C also trying using the website desmos it helps a lot with graphing

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3 years ago

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You have $55,000 in your savings account that pays 2.5% annual interest and the inflation rate is 3.4%. how much buying power in

lianna [129]

Your interest formula is given to you.

<span>Interest in a year = principal (the amount invested) * rate (the interest rate) * period (the time you're measuring) </span>

<span>Interest = 55,000 * 2% * 1 year = 55,000 * 0.02 * 1 = $1,100 </span>

<span>How much would you need to have made for your spending power to keep with inflation? Your interest rate would have needed to match the inflation rate, otherwise, prices are going up faster than you're saving. </span>

<span>Required interest = 55,000 * 3.24% * 1 year = 55,000 * 0.0324 * 1 = $1,782 </span>

<span>How much buying power did you lose? The difference between your required interest and your actual interest. </span>
<span>Buying power lost = 1,782 - 1,100 = $682. You lost this much in buying power. </span>

6 0

3 years ago

Read 2 more answers

(d) A car travels at an average speed of 80 km/h. How far does it travel in: (1) 2 hours? (11) 12 minutes?

zepelin [54]

Answer is (1) 160 km in 2 hours and
(2) 16 miles in 12 minutes.

Step by step.
80 km / 1 hour = x km /2 hours
Cross multiply =
x = 160

The second one requires a little more math. Because we are looking at how far in minutes, we change the rate of 80km in 1 hour to 80 km in 60 minutes.
80 km / 60 = x / 12
Cross multiply
12x = 960
Solve for x by dividing both sides by 12
X = 16

I did the math on a print screen to explain the cross multiply.

3 0

2 years ago

Good afternoon!

Vladimir [108]

9514 1404 393

Answer:

5) 112°

6) 40°

Step-by-step explanation:

5) The angle E or ? is half the sum of the intercepted arcs:

? = (130° +94°)/2 = 112°

__

6) The angle D is half the difference of the intercepted arcs:

? = (135° -55°)/2 = 40°

8 0

3 years ago

Consider the graph of the function f(x) = 25

trasher [3.6K]

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

<h3>What are the horizontal asymptotes of a function?</h3>

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

$f(x) = 2^x$ .

$g(x) = 2f(x) = 2(2)^x$

The limits are given as follows:

$\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0$

$\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty$

Hence, the correct statement is:

Horizontal asymptote at y = 0.

More can be learned about horizontal asymptotes at brainly.com/question/16948935

#SPJ1

3 0

2 years ago