Expand the logarithm.

log (y/5)2

Answers

Answer 1

Answer: 2 log y - log 25

Step-by-step explanation:

Notes: Division expands to subtraction.  Exponent expands to multiplication.

[tex]log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}[/tex]


Related Questions

laura goes shopping she spends one fourth of her money on a pair of shorts and one third of her remaining money on a belt if laura has $42 dollars left after these two purchases how much money did she have when she started shopping?

Answers

Answer:

84 dollars

Step-by-step explanation:

use x to represent the amount of money Laura had when she started shopping.

use y to represent the amount of money she had left after buying a pair of shorts.

You can create these two equations:

3/4x=y

2/3x=42

now, subsitute the value of y into the second equation.

2/3(3/4x)=42

1/2x=42

x=84

What is the slope of the line ?

Answers

Answer:

-3

Step-by-step explanation:

You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?

Answers

Answer:

⅞ pound

Step-by-step explanation:

You received 1/4 pound of candy from your grandmother.

You received 1/2 pound of candy from your sister.

You received 1/8 pound of candy from your best friend.

The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.

The total amount of candy is therefore:

¼ + ½ + ⅛ = ⅞ pound

You received ⅞ pound of candy in total.

Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?

Answers

Answer:

Check the explanation

Step-by-step explanation:

1 centimetre is = 0.01 meter

therefore the scale in Brennan drawing is 1 centimetre  is used to represent 7 metres

Answer:

1 cm:7 meters

Step-by-step explanation:

The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:

21 cm:147 meters

As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:

1 cm:7 meters

Rosie needs to buy balloons and tablecloths for her party. Each balloon costs $1.50 and each tablecloth costs $2.25. She cannot spend more than $30.00 on balloons and tablecloths for the
party. Write an inequality to represent the possible number the balloons and tablecloths that Rosie can buy. Let'x' represent balloons and and represent the tablecloths

Answers

Answer:

1.50x + 2.25y ≤ 30

Step-by-step explanation:

Hi, let’s say that 'y' represent the tablecloths.

So, we have to write an inequality:

The product of the number of balloons (x) and the cost of each one (1.50) plus the product of the number of tablecloths (y) and the cost of each tablecloth (2.25) must be less or equal to Rosie's budget (30)

Mathematically speaking:

1.50x + 2.25y ≤ 30

Feel free to ask for more if needed or if you did not understand something  

Answer: The inequality can be written as 1.5x + 2.25y ≤ 30

Step-by-step explanation: What Rosie needs is an expression that shows  the highest she can spend on tablecloths and balloons. If the question states that she cannot spend more than 30 dollars, then it simply means she can either spend a maximum of 30 dollars, OR any amount below 30 dollars. So what she needs is an inequality that shows her spending as being less than or equal to 30.

Let the balloons be represented by letter x and the tablecloths be represented by the letter y. If each balloons cost 1.50 dollars, then the total cost of balloons equals 1.5 times x or simply 1.5x. Likewise, if each tablecloth cost 2.25, then the total cost of tablecloths shall be 2.25y.

The possible number of balloons and tablecloths that she can buy based on the conditions given can be expressed as follows;

1.5x + 2.25y ≤ 30

En un informe se dice que la temperatura minima pronosticada es de -24°C y la maxima de -20°C . Si la temperatura minima representa mas frio que la temperatura maxima,¿no deberia figurar al reves?. Expliquen su respuesta.

Answers

Answer:

Check Explanation

Step-by-step explanation:

English Translation

In a report it is said that the predicted minimum temperature is -24 ° C and the maximum is -20 ° C. If the minimum temperature represents colder than the maximum temperature, should it not appear on the reverse? Explain your answer.

Solution

No, it shouldn't appear on the reverse. This is because, just as negative numbers work, they decrease, the further we move away from 0.

Celsius temperature scales are calibrated with respect to the freezing point of water. The freezing point of water serves as the reference point and is called the 0°C.

Temperatures higher than the freezing point of water taken on positive values and temperatures lower, take on negative values. The lower the temperature, the bigger the absolute value of the negative value is.

For example, just like In the question provided, -24°C represents a temperature that is 24° lower than the freezing point of water while -20°C represents a temperature that is 20° lower than the freezing point of water. It is evident that -24°C really is a lower temperature than -20°C.

Hope this Helps!!!

The median is the same thing as?
Quartile 1
Quartile 2
Quartile 3
None of the above
Other:

Answers

Answer:

The median is NOT the same thing as a quartile.

The median is a measure of center.

The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person

Answers

Answer:

344.2m/s

Step-by-step explanation:

The parameters given are:

Distance=895meter

Time=2.6seconds

Therefore the speed of sound is:

Speed of sound= distance/time taken

= 895/2.6

=344.23

=344.2m/s ( to the nearest tenth)

Answer:

d 344.2 meters per second

Step-by-step explanation:

edge 2021

set f(y)=x and solve for y

Answers

Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball

Answers

Answer:

3/26 students or 11%

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

24/27 = 8/9

A student used the point-slope form to write the equation of a line that has a slope of Three-fourths and passes through the point (3, –2). The student’s work is shown to the left. Examine the steps to determine whether the student made an error. The student made .

Answers

Answer:

The student made an error in step 3

Step-by-step explanation:

Answer:

The student made an error on C. Or step 3.

Step-by-step explanation:

If a taxi ride is m miles, which expression can be used to find the total charge of the ride

Answers

Answer:

d. 0.85m + 2.50

Step-by-step explanation:

In the figure attached, the complete question is shown.

We can see in the table that $2.50 is a fixed charge, that is, it is not modified by any variable. On the other hand, for each travelled mile, the cost of the travel increases $0.85 ($0.75 by mileage charge + $0.1 by city gas tax). Then, if m miles are travelled, the cost of the travel increases 0.85*m

The number of customers rose from 118 on monday to 205 on tuesday. What is the percent increase to the nearest tenth of a percent

Answers

Answer:8

Step-by-step explanation:$4

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=20°, and XV = 58 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

169.6

Step-by-step explanation:

We can use trig to find the missing side (sin specifically).  sin(x)=opposite/hypotenuse.  where x is the angle.  VWX is 20 degrees.  The side opposite to that angle is VX or 58.  We dont know the hypotenuse.  If we were to substitute values into sin(x)=opposite/hypotenuse, we would get sin(20)=58/hypotenuse.  sin(20) in the calculator is 0.342020143...  so we can rewrite the equation as 0.342020143=58/hypotenuse.  Lets call the hypotenuse h.  If we multiply h on both sides, we can try to find what h is equal to.  0.342020143h=58.  Now we can divide 0.342020143 on both sides to isolate h.  h=169.58... or if we round it, we get 169.6

1. The speed of a motorcycle increases from 10 km/hr to 50 km/hr in 9
seconds. What is its acceleration?*

Answers

Answer:

The acceleration is 4.4 km/sec/sec

Step-by-step explanation:

Acceleration of motorcycle is 4.44 km/sec²

Given that;

Starting velocity = 10 km/hr

Final velocity = 50 km/hr

Time taken = 9 second

Find:

Acceleration of motorcycle

Computation:

Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken

Acceleration of motorcycle = [50 - 10] / 9

Acceleration of motorcycle = [40] / 9

Acceleration of motorcycle = 4.44 km/sec²

Learn more:

https://brainly.com/question/12550364?referrer=searchResults

Find the area

Please help me thank you!

Answers

The answer to your question is 20

Find the height of a prism with volume 720cm3 and base area 45cm2

Answers

Answer:

The height is 16 cm

Step-by-step explanation:

It's just v/b

720/45=16

The height is 16 cm

i think the height is 16cm

For a field trip 27 students rode in cars and the rest filled three buses. How many students were in each bus if 147 students were on the trip?

Answers

Answer:

40 students per bus

Step-by-step explanation:

147 (Og #)-27(Number riding cars, irrelevant)=120

120/3 (# of buses)= 40 students per bus

Answer:

40 students

Step-by-step explanation:

First, let’s find how many students rode the buses.

There was a total of 147 students on the trip, and 27 rode in cars. The rest rode in buses.

The difference between 147 and 27 will be how many took buses.

Subtract 27 from 147

147-27=120

120 students rode the buses. There were 3 buses, and the students were evenly divided between each bus. Divide 120 by 3.

120/3=40

Therefore, 40 students were on each bus.

Martin dennis brought a wide screen television for $1720. He made a down payment of 15% and paid the balance over 18 months. The fiance charge was 4% of the amount financed. Find the down payment and the installment price of the televison and the monthly payment

Answers

Answer:

Down payment is $258

Installment price is $1766.22

monthly payment is $83.79

Step-by-step explanation:

Down payment is 15% of $1,720 which is $258  (15%*$1720)

Monthly payment can be computed using pmt formula in excel

=pmt(rate,nper,-pv,fv)

rate is the interest rate per month which 4%/12=0.33%

nper is the number of months of payments that is 18

pv is the finance amount which is the price minus down payment i.e $1462 *($1720-$258)

fv is the total finance amount plus interest which is unknown i.e 0

=pmt(0.33%,18,-1462,0)=$ 83.79  

installment price =down payment +total repayment

                             =$258+($83.79*18)=$1766.22

Solve the following
a) 2(x+3)= x-4
b) 4(5x-2)= 2(9x+3)

Answers

Answer: A: x=-10 B: x=7 hope this helps!

hey can anyone help me in dis!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1. blue

2. blue because I measured both lines with a ruler.

3. this one was harder to decide because when I look at the picture both lines look the same length but since I measured both lines with a ruler I realized that the blue line was longer that the red line.

Step-by-step explanation:

I actually measured both lines with a ruler and the blue line is just barely bigger that the red line

Please can people help??!!
Photo below

Answers

i think this is the method for solving it

Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?

35 inches


47 inches


50 inches


43 inches

will mark brainliest

Answers

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

The results of the woodlands middle school poll show that 20% of the students prefer to got o the aquarium and 50% of the teachers prefer to the aquarium

Answers

Answer: C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.

Step-by-step explanation:

The results of the poll showed that 50% of teachers preferred to go to the aquarium whilst only 20% of students prefer to go to the aquarium.

With 5 in every 10 teachers preferring to go to the aquarium and only 2 in every 10 students preferring the aquarium that is clear evidence that there are is a higher proportion of teachers wanting the aquarium than the students. This shows therefore that relatively speaking, teachers prefer the Aquarium more than students do.

The Answer is C. There is evidence that teachers at Woodlands Middle may prefer the aquarium more than students.

Step-by-step explanation:

I just did it

Select The decimal that is equivalent to 7/8

Answers

Answer:

0.875

Step-by-step explanation:

look at the fraction as a division problem

8÷7

what is the equation of the linear function?

Answers

Answer: [tex]y=-\frac{1}{2} x+3[/tex]

Step-by-step explanation:

use the formula y=mx+b

m = slope

b = y-intercept

slope is rice over run

rise 1 run -2       m= -1/2

y- intercept is the point where the line intercepts with the y-axis

b=3

plug into equation

[tex]y=-\frac{1}{2} x+3[/tex]

Answer:

what she said

Step-by-step explanation:

How many solutions are there to this system of equations?

A) One solution

B)No solution

C)Infinitely many solutions

D)It cannot be determined without solving it.

First-line - y = 1/4 (x - 4)
Second-line = y = 1/4x - 1

Answers

Answer:

one

Step-by-step explanation:

Misaki’s fish tank is half full of water because she is cleaning it. The tank is a right rectangular prism with a length of 8 inches, a width of 6 inches, and a height of 6 inches.

A prism has a length of 8 inches, width of 6 inches, and height of 6 inches.

What is the volume of water in the tank while Misaki is cleaning it?
O 10 Inches cubed
O 36 Inches cubed
O 144 Inches cubed
O 288 Inches cubed

Answers

Answer:

144 Inches cubed

Step-by-step explanation:

8 × 6 × 6 = 288.

288 / 2 = 144.

you multiply to get the original volume then divide by 2 because the tank is only half full.

Answer:

d

Step-by-step explanation:

i said

The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?


If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.

Answers

Answer:

1. 18 girls

2. 5 girls will be added to maintain the same ratio of boys and girls

Step-by-step explanation:

1. Boys : Girls = 14 : 12

14 + 12 = 26, 39/26 = 1.5

Boys: 14 x 1.5 = 21

Girls: 12 x 1.5 = 18

21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.

2. Boys : Girls = 14 : 12

14 : 12

7   : ?

14 - 7 = 12 - ?

7 = 12 - ?

12 - 7

= 5

If there is any wrong, Please correct me or reply to me!

Circle M is shown below. AB is tangent to the circle at point A. The radius of a circle M is 15. JB = 10. DF = 18. AC = 10.

Answers

Answer:

e

Step-by-step explanation:

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