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Harlamova29_29 [7]

2 years ago

10

on a map 1 in. = 25 meters. the distance between school and the post office is 23 inches on the map. what is their actual distan

ce

1 answer:

ioda2 years ago

5 0

Answer:

575 meters

Step-by-step explanation:

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What is the average rate of change of the function over the interval x = 0 to x = 8?<br>

serious [3.7K]

Answer:

The average rate of change is:

$\frac{13}{161}$

Step-by-step explanation:

The rational function given to us is;

$f(x)=\frac{3x+4}{2x+7}$

$f(0)=\frac{3(0)+4}{2(0)+7}$

$f(0)=\frac{4}{7}$

$f(8)=\frac{3(8)+4}{2(8)+7}$

$f(0)=\frac{28}{23}=1$

The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change = $=\frac{f(8)-f(0)}{8-0}$

$=\frac{\frac{28}{23}-\frac{4}{7} }{8}$

$=\frac{13}{161}$

7 0

2 years ago

Write down the nth term of the sequence 5, 8, 13, 20, 29

amid [387]

Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by $a_n =a_1+(n-1)d$

The geometric sequence formula goes by $S_n = \frac{a_1(1-r^n)}{1-r}$

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69
69 + 17 = 83

Your formula is $a_n = (n-1)^2 + 4

$
Where n starts at 2 not 1

8 0

2 years ago

Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. Se

son4ous [18]

Answer:

The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9. $log_{4}7$ .

$log_{4}7=1.404\\$

Step-by-step explanation:

From the general properties or laws of logarithm, we have the

$log_{a}b=\frac{logb}{loga} \\$

where both log are now express in the natural logarithm base.

i.e $log_{a}b=\frac{lnb}{lna}\\$

hence we can express our $log_{4}7=\frac{ln7}{ln4} \\$ .

the value of ln7 is 1.9459 and ln4 is 1.3863

Hence $log_{4}7=\frac{ln7}{ln4}=\frac{1.9459}{1.3863}\\$ .

$log_{4}7=1.404\\$

6 0

2 years ago

Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were orange, 30% were green, and

adelina 88 [10]

1.2 of the blue candies were damaged. Out of the 60 candies, 18 were orange (0.3 x 60) and 18 were green (0.3 x 60). 12 of the candies were red (0.2 x 60) and 12 were blue (0.2 x 60). 1.2 of these 12 blue candies were damaged (0.1 x 12).

8 0

2 years ago

After 8 points are added to each score in a sample.

mina [271]

I think it’s 32 because it’s more simple then it looks! It would just be 40-8??

4 0

1 year ago