For each home run hit in a baseball game, a

Find the linear approximation of the function g(x) = 5 1 + x at a = 0. g(x) ≈ use it to approximate the numbers 5 0.95 and 5 1.1

34kurt

Differentiating the function

... g(x) = 5^(1+x)

we get

... g'(x) = ln(5)·5^(1+x)

Then the linear approximation near x=0 is

... y = g'(0)(x - 0) + g(0)

... y = 5·ln(5)·x + 5

With numbers filled in, this is

... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)

Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get

... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95

... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1

3 0

3 years ago

How do you write 100 as a power of ten

stealth61 [152]

The answer is to that is 10² because 10small one equals 10 and 10³ equals 1000 and you going on my multiplying it by 1ofoe example 100*10 equals 1000.

3 0

3 years ago

The number of miles is always ? times the number of hours please help this is iready

Scrat [10]

Answer:

10!

Step-by-step explanation: because 10,20,30,40 they each go by 10

7 0

3 years ago

Read 2 more answers

A union charges monthly dues of $6.00 plus $0.15 for each hour worked during the month. A union member's dues for March were $30

faltersainse [42]

Answer:

4.5

Step-by-step explanation:

8 0

4 years ago

NEED HELP ASAP

KengaRu [80]

Answer:

Part 1) Triangle GHI, JKL

Part 2) $(40*15)and(8*3)$ , $(18*6)and(4.5*1.5)$

Step-by-step explanation:

we know that

If two figures are similar

then

the ratio of their corresponding sides are equal and is called the scale factor

Part 1)

case a) triangle GHI

If ABC and GHI are similar

then

$\frac{4}{24}=\frac{3}{7}=\frac{5}{25}$

but

$0.17 \neq 0.43 \neq \ 0.20$

therefore

Triangle GHI is not similar to triangle ABC

case b) triangle DEF

If ABC and DEF are similar

then

$\frac{4}{44}=\frac{3}{33}=\frac{5}{55}$

$0.09=0.09=0.09$

therefore

Triangle DEF is similar to triangle ABC

case c) triangle MNO

If ABC and MNO are similar

then

$\frac{4}{10}=\frac{3}{7.5}=\frac{5}{12.5}$

$0.4=0.4=0.4$

therefore

Triangle MNO is similar to triangle ABC

case d) triangle JKL

If ABC and JKL are similar

then

$\frac{4}{21}=\frac{3}{20}=\frac{5}{29}$

$0.19 \neq 0.15 \neq 0.17$

therefore

Triangle JKL is not similar to triangle ABC

Part 2)

case a) If the rectangles are similar, then

$\frac{40}{8}=\frac{15}{3}$

$5=5$

therefore

the rectangles are similar

case b) If the rectangles are similar, then

$\frac{18}{4.5}=\frac{6}{1.5}$

$4=4$

therefore

the rectangles are similar

case c) If the rectangles are similar, then

$\frac{1,225}{3.5}=\frac{144}{1.2}$

$350\neq120$

therefore

the rectangles are not similar

case d) If the rectangles are similar, then

$\frac{13}{5.2}=\frac{5}{2.5}$

$2.5\neq 2$

therefore

the rectangles are not similar

3 0

4 years ago