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3 years ago

How would I solve this equation?

Mathematics

1 answer:

Assoli18 [71]3 years ago

6 0

2(7/2)^x = 49/2

Divide both sides by 2:

(7/2)^x = 49/4

I notice that 49/4 can be rewritten as (7/2)^2, so we now have:

(7/2)^x = (7/2)^2

The only way for this to be true is if x = 2. Thus, we are done.

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Consider the following function G(x) = 2 (x-3)<br><br><br> Find G(4) + G (5)

NNADVOKAT [17]

Answer: 6

Solution: 2(4-3) + 2(5-3) = 8-6+10-6=6

4 0

2 years ago

60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys

nadezda [96]

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▹ Answer

$\frac{29}{47} * 100$

▹ Step-by-Step Explanation

29 + 18 = 47 → 29/47

Total boys → 100

29/47 * 100

Hope this helps!

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8 0

3 years ago

~please only answer if you know for sure~

NARA [144]

JKL is similar to PQR

so they want PR

JKL is similar to PQR

So PR is similar to JL

And they also give us the sides KL and QR

JKL is similar to PQR

Both of those sides are similar, so we can form a proportion.

$\sf { \frac{PR}{JL} = \frac{QR}{KL} }$

Plug in the numbers:

$\sf { \frac{PR}{6} = \frac{15}{9} }$

Cross multiply:

$\sf{ PR \times 9 = 6 \times 15}$

Isolate PR

$\sf{ PR = \frac{6 \times 15}{9}}$

Simplify it

$\sf{ PR = 10}$

So your final answer is

$\boxed{\bf{10 centimeters}}$

6 0

3 years ago

Read 2 more answers

Factor the following polynomial completely 21x ^ 5 * y ^ 4 - 18x ^ 7 * y ^ 3 + 15x ^ 2 * y ^ 5

tester [92]

Answer:

$21x^5y^4-18x^7y^3+15x^2y^5\\3x^2y^3(7x^3y-6x^5+5y^2)$

7 0

3 years ago

The Consumer Price Index (CPI) is a measure of the change in the cost of goods over time. If 1982 is used as the base year of c

Mashcka [7]

Answer:

a) $y = 3.8 x +100$

b) $Abs. change= |168.4-167.5|=0.9$

So the calculated value is 0.9 points above the actual value.

$Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537$ %

And the calculated value it's 0.537% higher than the actual value.

c) For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

Step-by-step explanation:

Data given

1982 , CPI=100

1986, CPI = 191.2

Notation

Let CPI the dependent variable y. And the time th independent variable x.

For this case we want to adjust a linear model givn by the following expression:

$y=mx+b$

Solution to the problem

Part a

For this case we can find the slope with the following formula:

$m =\frac{CPI_{2006}-CPI_{1982}}{2006-1982}$

And if we replace we got:

$m =\frac{191.2-100}{2006-1982}=3.8$

Let X represent the number of years after. Then for 1982 t = 0, and if we replace we can find b:

$100 = 3.8(0)+b$

And then $b=100$

So then our linear model is given by:

$y = 3.8 x +100$

Part b

For this case we need to find the years since 1982 and we got x = 2000-1982=18, and if we rpelace this into our linear model we got:

$y = 3.8(18) +100=168.4$

And the actual value is 167.5 we can compare the result using absolute change or relative change like this:

$Abs. change= |168.4-167.5|=0.9$

So the calculated value is 0.9 points above the actual value.

And we can find also the relative change like this:

$Relative. Change =\frac{|Calculated -Real|}{Real}x100$

And if we replace we got:

$Relative. Change =\frac{|168.4 -167.5|}{167.5}x100 =0.537$ %

And the calculated value it's 0.537% higher than the actual value.

Part c

For this case we can use the slope obtained from the linear model to answer this question, and we can conclude that the CPI is increasing at approximate 3.8 units per year.

3 0

3 years ago