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3 years ago

Hi! Can someone help me with this? Properties and Logarithmic Functions.

Mathematics

1 answer:

Svet_ta [14]3 years ago

5 0

$2\log_{10}x + \log_{10}5 = \log_{10}x^2 + \log_{10}5 = \log_{10}5x^2$

So the answer is $\log_{10}5x^2$

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I used the log rules

y*log(x) = log(x^y)

log(x) + log(y) = log(x*y)

these rules apply to any log base (not just base 10).

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The volleyball team at West View High School is comparing T-shirt companies where they can purchase their practice shirts. The t

Alex73 [517]

Answer:

Q#1.total number of T-shirts for total cost to be equal=10

Q#2.For the total cost to be the same for both companies, the volleyball team would need to purchase 10 T-shirts from each company

Q#3.total of $105 for each company.

Step-by-step explanation:

Q#1

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

x=10

Number of shirts to be equal cost price is 10

Q#2

two functions are given

y=10.5x

y=7.5x+30

where y represents cost and x represents number of shirts

we have to find number of shirts to be purchased from each company keeping cost equal

hence we will write

10.5x=7.5x+30

10.5x-7.5x=30

3x=30

x=30/3

Number of shirts =x=10

Q#3

total cost=y=?

for y=10.5x

put x=10

y=10.5*10

cost=y=105

and for other function

for y=7.5x+30

put x=10

y=7.5(10)+30

y=75+30=105

8 0

3 years ago

Read 2 more answers

Can y’all help me on Thai one thank you

vichka [17]

Karmin will make $18.4 for working an hour after the increase.

Step-by-step explanation:

Step 1:

First, we need to determine how much Karmin made an hour.

Karmin's hourly rate $= \frac{480}{30} = 16.$

So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.

She will get a 15% increase in her hourly rate this month.

Step 2:

We need to determine how much 15% of $16 is.

15% of $16 $= \frac{15}{100} (16) = 0.15 (16)= 2.4.$

So her 15% increase amounts to $2.4.

So the hourly rate for this month $16 + 2.4 = 18.4.$

So Karmin will make $18.4 for working 1 hour.

5 0

3 years ago

Help please! need it asap

kap26 [50]

Answer:

AE = 19 and <EDC = 59

Step-by-step explanation:

i am almost positive that those are both right

7 0

3 years ago

Select the correct answer from each drop-down menu.

podryga [215]

Answer with explanation:

$\text{Average}=\frac{\text{Sum of all the observation}}{\text{Total number of Observation}}$

Average Height of tallest Building in San Francisco

$=\frac{260+237+212+197+184+183+183+175+174+173}{10}\\\\=\frac{1978}{10}\\\\=197.8$

Average Height of tallest Building in Los Angeles

$=\frac{310+262+229+228+224+221+220+219+213+213}{10}\\\\=\frac{2339}{10}\\\\=233.9$

→→Difference between Height of tallest Building in Los Angeles and Height of tallest Building in San Francisco

=233.9-197.8

=36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

|260-197.8|=62.2

|237-197.8|=39.2

|212-197.8|=14.2

|197 -197.8|= 0.8

|184 -197.8|=13.8

|183-197.8|=14.8

|183-197.8|= 14.8

|175-197.8|=22.8

|174-197.8|=23.8

|173 -197.8|=24.8

Average of these numbers

$=\frac{62.2+39.2+14.2+0.8+13.8+14.8+14.8+22.8+23.8+24.8}{10}\\\\=\frac{231.2}{10}\\\\=23.12$

Mean absolute deviation=23.12

5 0

3 years ago

HELP PLEASE ILL GIVE U 50 POINTS

Likurg_2 [28]

Answer:

6x^2+2x

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers