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Masja [62]
3 years ago
11

A taxi travels 25 kilometers east of an airport. Then it travels from that point to a point that is 40 kilometers west of the ai

rport. Finally, the taxi returns to the airport. How far did the taxi travel? Show your work.
Mathematics
1 answer:
kati45 [8]3 years ago
7 0
25km east + 25km return+  40km west + 40km return = 130km

Hope that helped :)
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Which correlation coefficient implies that the data points are closest to the line that is used to model the
pochemuha

Answer:

r= 0.87

Step-by-step explanation:

It has the strongest correlation, which means it is closest to the line.

4 0
3 years ago
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
VLD [36.1K]

Notice that

13 - 9 = 4

17 - 13 = 4

so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :

149 = 9 + 4k

140 = 4k

k = 140/4

k = 35

This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.

Put another way, we have

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))

\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)

7 0
2 years ago
Help me please no coin thots I will report please explain your answer
Leokris [45]
Should be equal to. sorry if its incorrect, but that's what i would go with.

7 0
3 years ago
Read 2 more answers
If f(x)=2x+3 and g(x)=x^2+1 find f(g(3))<br><br> Help!!<br> A.23<br> B.47<br> C.82<br> D.90
True [87]

Answer

A. 23

step-by-step explanation

g(x) =  {x}^{2} + 1

We put x=3 into the function g

\implies g(3)= {3}^{2} + 1

\implies \: g(3)=10

Also,

f(x)=2x +3

we substitute the value of g(3) into f

\implies f(g(3))=f(10)

\implies f(g(3))=f(10) = 2(10) + 3

\implies f(g(3))=23

8 0
3 years ago
A designer of carved lawn figures needs to reduce the size of a statue by making each linear dimension 40% of the original. If a
Leya [2.2K]

Answer:

N x (0.4)^3

Step-by-step explanation:

8 0
3 years ago
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