What is the value of the expression |a + b| + |c| when a = –6, b = 2, and c = –11?

1 answer:

8 0

The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.

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If you bike for 60 kilometers at 30 kilometers per hour and return at 20 kilometers per hour, what is the average speed for the

matrenka [14]

V1=30km/hr
v2=20km/hr
v=2v1v2/(v1+v2)
=2*30*20/(30+20)
=24km/hr

8 0

2 years ago

The athlete’s salary, in thousands, for the first two years is $400 and $400(1.05). Explain how to find her salary for each of t

enyata [817]

To find the salary for the next three years, we are going to use the formula for the nth term of a geometric sequence: $a_{n}=a_{1}r^{n-1}$
where
$a_{n}$ is the nth term of the sequence
$a_{1}$ is the first term in the sequence
$r$ is the common ratio
$n$ is the position of the term in the sequence

To check if the values $400 and 400(1.05) for a geometric sequence, we are going to find their common ratio. To find the common ratio, we are going to use the formula $r= \frac{a_{n} }{a_{n-1}}$
where
$a_{n}$ is the current term in the sequence
$a_{n-1}$ is the previous term in the sequence

We can infer from our values, that the current term of the sequence is 400(1.5), so $a_{n-1}=400(1.5)$ . That leaves 400 as the previous term, so $a_{n-1}=400$ . Lets replace those values in our formula to find $r$ :
$r= \frac{a_{n} }{a_{n-1}}$
$r= \frac{400(1.05)}{400}$
$r=1.05$

Now that we have our common ratio, we can replace it in our formula for the nth term to find the athlete's salary for each of the next three years. Notice that the first term of our sequence is $400, so $a_{1}=400$
$a_{n}=a_{1}r^{n-1}$
$a_{n}=400(1.05)^{n-1}$
$a_{3}=400(1.05)^{3-1}$
$a_{3}=400(1.05)^{2}$
$a_{3}=441$

$a_{4}=400(1.05)^{4-1}$
$a_{4}=400(1.05)^{3}$
$a_{4}=463.05$

$a_{5}=400(1.05)^{5-4}$
$a_{5}=400(1.05)^4$
$a_{5}=486.2025$

We can conclude that the athlete's salary for each of the next three years is: $441,$463.05,486.2025 respectively. Also, those vales for a geometric sequence because they share a common ratio, (1.05).

6 0

2 years ago

Read 2 more answers

#9 was the the one I need help with anyone plz help Thank You:)

pentagon [3]

Your answers are wrong. the function f(x) is like a factory. you put in something ( a number) and it will spit you out something else (a different number depending on the function). your function, f (x)= -2x+1

you can put anything in that function. let say k.
f(x=k) = -2k+1. you just replace the x with k.
in this particular problem they way f(-2) ,f(0), f(1) and f(2).
here are the results
f(x=-2) = f(-2) = -2×(-2)+1 =5
f(x=0) = f(0) = -2×(0)+1 =1
f(x=1) = f(1) = -2×(1)+1 =-1
f(x=2) = f(2) = -2×(2)+1 =-3

3 0

2 years ago

The table shows a pattern of exponents.

ahrayia [7]

Answer: c. divide the previous value by 5

Step-by-step explanation:

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2 years ago

Kenji packed an exercise ball into a cylindrical package . How much space does the package occupy in terms of pi . Enter your an

grandymaker [24]

Answer:

The space that the package would occupy is 45 $\pi$ cubic feet.