Rewrite the following expression as a single logarithm: log7(x2+5x−14)−log7(x+7)

Answers

Answer 1

Answer:

log7(x-2)

Step-by-step explanation:

Use of property: log(ab) = log(a) + log(b)

log7(x²+5x−14)−log7(x+7)  = log7(x+7)(x-2) - log7(x+7) =log7(x+7) + log7(x-2) - log7(x+7) = log7(x-2)


Related Questions

An explorer is climbing up and rappelling down a series of cliffs and drop-offs. She starts at her base camp, which is on the middle of a mountain. She begins by rappelling down an 82.5-foot drop-off and then climbs a cliff of 30.4 feet. Next she rappels down a 45.5-foot drop-off and then climbs a 25.2-foot cliff.Finally she makes two 45.4-foot climbs. Part A: How far above or below her base camp is the explorer now?

Answers

Answer:

162.8 above her camp site she starts at the middle and drops 82.5 and then climbs 30.4 which puts her at 52.1 then by her repelling down another 45.5 drop she then proceeds to climb 25.2 which puts her at 72.4 and if you multiplie 45.4 by 2 it counts for the extra 90.4 drop which then concludes her climb to be bellow her site by 162.8 and the 1st word is supposed to be bellow my bad.

Step-by-step explanation:

step by step is above

Evaluate the expression 2*2^3*5-3

Answers

77 would be the answer.

Answer:

77 would be the right answer

state the solutions for the quadratic equation depicted in the graph.

Answers

Answer:

(-4,0), (-3,0)

Step-by-step explanation:

The solution of a quadratic equation is simply when the graph crosses the x-axis. This is because at that point, the function will equal 0.

From the graph, we can see that the graph touches the x-axis at x=-4 and x=-3.

Therefore, our solutions for the graphed quadratic is x=-4 and x=-3.

And we're done!

What is the area of this figure?

Answers

Answer:

44 cm^2

Step-by-step explanation:

You can separate this figure into three rectangles. The area of the first rectangle is 20. The area of the second rectangle is 6. And the area of the third is 18. If you add those all together you get 44 cm^2

Look at the graph. On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5). Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong? The points (–1, –4), (0, –3), and (2, 5) are not all on the graph. The expressions StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction and StartFraction negative 3 minus (negative 5) Over 2 minus 0 EndFraction both equal 1. She miscalculated the rates of change. Her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.

Answers

Answer:

Answer is A

explanation:

there is no point (0.-3) on the graph.

Answer:

it's D edg 2020

Step-by-step explanation:

(4.5 x 104) + (300) =

Answers

Answer:

768

Step-by-step explanation:

(768) 4.5•104= 468 and add by 300 it is (768)

The total cost C (in dollars) of playing an online game is given by the literal equation C = 30x + 50, where x is the number of months you play the game. Solve the equation for x. How many months do you play the game when you spend $170? $260?

Answers

Answer:

4 months and 7 months

Step-by-step explanation:

C = 30x + 50

C is cost so when we spend $170 we can solve for x.

$170 = 30x + 50

170 - 50 = 30x + 50 - 50

170 - 50 = 30x

120 = 30x

120/30 = 30x/30

120/30 = x

4 = x

So he has played 4 months when he spends $170

C is cost so when we spend $260 we can solve for x.

$260 = 30x + 50

260 - 50 = 30x + 50 - 50

260 - 50 = 30x

210 = 30x

210/30 = 30x/30

210/30 = x

7 = x

So he has played 7 months when he spends $260

Write 1/10 as a decimal number

Answers

Answer:

0.1

Step-by-step explanation:

hope this helps

The table shows four members numerous expressions which expression is an integer when it evaluated?

Answers

Answer:

could you include the table?

Step-by-step explanation:

A media personality argues that global temperatures are not rising, because every year an increase is reported such as 0.08 degrees C. The difference from the previous year is less than the margin of error of about 0.15 degrees C, so that difference should be ignored. What is a strong counterargument?

Answers

Answer

:we are told that every year the temperature rises by 0.08degrees Centigrade,

So the difference between margin of error and the increase is much higher

That is

0.15-0.08=0.07

But remember Margin of error=Critical value *Standard deviation of population

And it is a quantity that measures accuracy

So the counter argument is that this is still an increase and it should be considered.

.

Answer:

The difference with any previous decade is much greater than the margin of error

Step-by-step explanation:

Examples: Determine if the graph is a function. If it is, state the domain and range.

Answers

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.Jan 8, 2019

Step-by-step explanation:

f(x) = 6x2 + 2 what is the domain​

Answers

Answer:

All Real Numbers

Step-by-step explanation:

[tex]f(x)=6x^2+2[/tex]

To find the domain of a  quadratic function, we can make a table.

x     y     f(x)=6x^2+2

-1     8    6(-1)^2+2

0     2        6(0)^2+2

1       8  6(1)^2+2

You can keep going and identity that all the x values/ domains are real numbers.

1.6=Y/1.5 WHAT IS THE ANSWER​

Answers

Isolate the variable Y by multiplying 1.5 on both sides.

[tex]Y=1.6*1.5[/tex]

[tex]Y=2.4[/tex]

Hope this helps.

頑張って!

Answer:

y=2.4

Step-by-step explanation:

You need to get Y alone so just multiply it with the reciprocal: 1.5/1 on both sides. This cancells out the denominator and just multiplies 1.6 with 1.5 to get 2.4

How do you do letter b?

Answers

Answer:   175

Step-by-step explanation:

[tex]g(35)= \int\limits^{35}_0 {f(x)} \, dx =\int\limits^{30}_0 {f(x)} \, dx +\int\limits^{35}_{30} {f(x)} \, dx[/tex]

                            =     137.5   +      37.5

                            =  175

           

Answer:

g(35) = 137.5

Step-by-step explanation:

g(35) = g(30) + [g(35) - g(30)]

g(35) = 100 + 5(15)/2

g(35) = 137.5

Circle B is shown. Line segments C B, D B, and E B are radii and they form 3 congruent angles. What does Arc C D E describe? a minor arc a major arc a semicircle a chord

Answers

Answer:

a major arc

Step-by-step explanation:

A circle is the locus of  point in which has a given distance from a fixed point (center of the circle).

B is the center of the circle C B, D B, and E B are radii forming 3 congruent angle. Since the sum of angles in a circle is 360°, the 3 line segments form 3 congruent angles of 120° each (360/3).

Therefore the angle measure of Arc C D E =  Arc CD + Arc DE = 120° + 120° = 240°

A major arc is an arc greater than a semicircle (> 180°). This means that Arc C D E is a major arc

Answer:

a major arc

Step-by-step explanation:

a major arc

a major arc

a major arc

a major arc

a major arc

a major arc

a major arc

A certain triangle has perimeter of 3080 mi. The shortest side measures 78 mi less than the middle side, and the longest side measures 377 mi more than the middle side. Find the lengths of the three sides.​

Answers

Answer:

Smallest=849mi

Middle=927mi

Largest=1304mi

Step-by-step explanation:

My work is in the attachment but here are some notes:

Draw a diagram and use the given info to label itSet up an equation which relates all the sides (in this case they add up to the perimeter) using a variable (I picked m because each side is based off of the middle distance)Solve for your variable and plug it back into the original equation to find your values

On Sunday, the temperature dropped 24° in 6 hours. What was the average change in temperature per hour?​

Answers

Answer:

The temperature drops 4° every hour

Step-by-step explanation:

Step 1:

24° ÷ 6

Step 2:

24 : 6 = 4 : 1

Answer:

4

Hope This Helps :)

Answer:

[tex]\boxed {\tt -4 \textdegree \ per \ hour }[/tex]

Step-by-step explanation:

This question asks us to find the average rate of change in temperature per hour.

Therefore, we must divide the temperature change by the hours.

[tex]rate \ of \ change =\frac{temperature \ change}{hours}[/tex]

The temperature dropped 24 degrees in 6 hours. Since it dropped, the change was negative.

[tex]temperature \ change = -24 \textdegree \\hours = 6 \ hours[/tex]

Substitute the values into the formula.

[tex]rate \ of \ change =\frac{-24 \textdegree}{6 \ hours}[/tex]

Divide.

[tex]rate \ of \ change = - 4 \textdegree / hour[/tex]

The average change in temperature was -4° per hour. The temperature dropped 4 degrees each hour.

4.5 and 5 are respectively the average of 2sets of number 3, 4, x, y and 2x, y, 4, 3, find the value of x, y

Answers

Step-by-step explanation:

4.5 * 4 = 18.

3 + 4 + x + y = 18, x + y = 11.

5 * 4 = 20

2x + y + 4 + 3 = 20, 2x + y = 13

Hence, x = 2 and y = 9.

After a 65% reduction you purchase a new washing machine on sale for $196. What was the original price of the washing machine

Answers

Answer:

$323.40

Step-by-step explanation:

use rounding to estimate the product of 198 and 42 round to nearest 10

Answers

Answer:

≈ 8000

Step-by-step explanation:

Step 1: Round 198

198 ≈ 200

Step 2: Round 42

42 ≈ 40

Step 3: Multiply

200(40) = 8000

Real answer is 8316.

which of the following gives all of the sets that contain -1/2?

A. the sets of all rational numbers and the set of all real numbers

B. the set of all natural numbers and the set of all irrational numbers

C. the set of all intergers and the set of rational numbers

D. the set of all natural numbers, the set of rational numbers, and the set of all real numbers

Answers

Answer:

B the set of all natural numbers and the ser of all

Answer:

B D B C

Step-by-step explanation:

rational numbers, real numbers

3

irrational

rational

a. Z, Q, R b. Q, R c. N, Z, Q, R d. R

3

8

= 0.375, nonrepeating, terminating; 5

6

=

0.83, repeating, nonterminating; 12

15 = 0.8,

nonrepeating, terminating; 7

11 = 0.63,

repeating, nonterminating

real, irrational; real, rational, whole

Answers may vary. Sample: − 50

The toy horse collection contains 10 horses. You purchase the set and then sell 3 horses to Kate. If you only charge the exact price (no tax involved), how much does Kate pay you?

Answers

Answer:

three tenths of the original amount

Let's start.

There are 10 horses.

(Buying the set is not important, since it does not affect this scenario.)

You sell three horses to Kate, and you expect her to give you the exact price.

Let's say that 10 horses cost the total (unknown).

10 horses equal the total amount, or 1

10 to 1

Now, you sell 3 of these horses. You must multiply 10 and n to make 3.

10 x n = 3

10x 3/10 = 3

Do the same to the other side.

1 x 3/10 = 3/10

3 to 3/10

What is the answer please help you can change my life.

Answers

Answer:

The side length is irrational

Step-by-step explanation:

Because the square root of 23 or 20+3 is a non-perfect square root and it's a never ending decimal.

The enrollment in fall 1993 was 14.3 million. If you were to use the model of 1993 what would the enrollment be?

Answers

Answer:

Why is college important? It’s a question you may have heard among friends, or perhaps you’ve even wondered yourself about the benefits of earning a degree. And it’s a good question to be asking as you consider your future—and everything that will include, from earnings potential to starting or switching your career. Here are five facts you should know as you consider the value of a college education.

1. People with college degrees earn more on average.

According to averages calculated by the US Bureau of Labor Statistics (BLS), people with a bachelor’s degree earn around 64% more per week than individuals with a high school diploma, and around 40% more than those with an associate’s degree. Those with an associate’s degree earn around 17% more than those with a high school diploma.

Over the course of a year (52 weeks), those percentage differences add up. For example, if you compare the average median annual earnings for those with a bachelor’s degree to those with a high school diploma, you’ll discover a difference of almost $24,000 per year in income.

2. College can help you expand your network.

Salary is far from the only answer for why is college important. You may have heard this before, but who you know and who your friends know is important. No matter how talented you are, a strong network can help you start and advance in your career.

At an Art Institutes school, you’ll not only have the chance to connect with instructors* who have worked in their fields, but you can also meet students in a variety of creative fields. These diverse connections may well benefit you in the future. Plus, you can also participate in professional groups, community activities, and industry conferences where you can grow your circle even more. Your Career Services department may also connect you with alumni in your field and can continue to provide networking support after graduation!

3. Gaining new skills can help enhance your current career.

Building your skill set and industry knowledge can help you move forward in your current career, and the skills you learn go beyond the obvious. At The Art Institutes, not only can you build your technical and artistic skills, but you can also develop your critical thinking, communication, and teamwork.

Earning your degree can demonstrate to a current employer that you’re serious about your career, and that you’re prepared to take on bigger projects and more responsibility. In the long term, when you apply to new jobs in your field, having a degree can provide you with a competitive edge. Even if the job doesn’t require a degree, your education—along with the quality of your work—may help you stand out among applica

Step-by-step explanation:

Which of the following is an example of stratified sampling when obtaining a sample of 100 high school students? A. Choosing 100 students at random from a specific grade level at a high school.B. Choosing 100 students sitting in one random section of the cafeteria at a high school.C. Choosing 25 students at random from each of four different grade levels at a high school.D. Choosing 100 students at random from a high school. E. Choosing 100 students at random from an AP Statistics class at a high school.

Answers

Answer:

Option C - Choosing 25 students at random from each of four different grade levels at a high school

Step-by-step explanation:

For us to achieve the conditions for a stratified random sample, the target population must be split into different groups which in this case, it's grade levels.

Looking at the 5 options given in the question, Options A, B, D and E are random but they are not truly stratified in their sampling approach. This is because the sample population must be selected at random from each of these groups and it's only option C which is choosing 25 students from each of four different grade levels or groups that reflects that.

10- (6m + 7) what is this

Answers

Answer:

3 + 6m

Step-by-step explanation:

If you are just trying to get a simplified term, then follow these steps.

10 - (6m + 7)

10 - 7 + 6m

3 + 6m

If fx) = 3x - 2 and g(x) = 2x + 1, find (f+g)(x).

A.5x-3
B.5x-1
C.x-1
D.x-3

Answers

the answer is gonna be D
It has to be D your welcome behave

can someone help with this please!! 2f^0p^3×5g^2

Answers

Answer:

Step-by-step

Rank Topic Problem Formatted Problem

77201 Solve for g 4g=24

4

g

=

24

4

g

=

24

77202 Solve for g 4g-2=22-8g

4

g

2

=

22

8

g

4

g

-

2

=

22

-

8

g

77203 Solve for g -4gh-8gi-2g+1=6h-6

4

g

h

8

g

i

2

g

+

1

=

6

h

6

-

4

g

h

-

8

g

i

-

2

g

+

1

=

6

h

-

6

77204 Solve for g 5g+2=3g+12

5

g

+

2

=

3

g

+

12

5

g

+

2

=

3

g

+

12

77205 Solve for g 5g=W

5

g

=

W

5

g

=

W

77206 Solve for g 5g-3g+g+8=2g+1+g+g

5

g

3

g

+

g

+

8

=

2

g

+

1

+

g

+

g

5

g

-

3

g

+

g

+

8

=

2

g

+

1

+

g

+

g

77207 Solve for g 6=-3/7g

6

=

3

7

g

6

=

-

3

7

g

77208 Solve for g -6g+36=12

6

g

+

36

=

12

-

6

g

+

36

=

12

77209 Solve for g 6g=100

6

g

=

100

6

g

=

100

77210 Solve for g 6g-3.5=8.5

6

g

3.5

=

8.5

6

g

-

3.5

=

8.5

77211 Solve for g 7(g-2)=5(g+4)

7

(

g

2

)

=

5

(

g

+

4

)

7

(

g

-

2

)

=

5

(

g

+

4

)

77212 Solve for g 7+(5g)/2=-13

7

+

5

g

2

=

13

7

+

5

g

2

=

-

13

77213 Solve for g 7200mg=g

7200

mg

=

g

7200

mg

=

g

77214 Solve for g 7800g=kg

7800

g

=

kg

7800

g

=

kg

77215 Solve for g 18-2g=4g

18

2

g

=

4

g

18

-

2

g

=

4

g

77216 Solve for g 18g+11=22g+27

18

g

+

11

=

22

g

+

27

18

g

+

11

=

22

g

+

27

77217 Solve for g 19*23=17g

19

23

=

17

g

19

23

=

17

g

77218 Solve for g 2.5g=17.5

2.5

g

=

17.5

2.5

g

=

17.5

77219 Solve for g 2|g+1|=14

2

|

g

+

1

|

=

14

2

|

g

+

1

|

=

14

77220 Solve for g 20+5g=10

20

+

5

g

=

10

20

+

5

g

=

10

77221 Solve for g g(x)=(x+6)/(x^2+2x-35)

g

(

x

)

=

x

+

6

x

2

+

2

x

35

g

(

x

)

=

x

+

6

x

2

+

2

x

-

35

77222 Solve for g 21.26=4g+3.54

21.26

=

4

g

+

3.54

21.26

=

4

g

+

3.54

77223 Solve for g 219÷104=2*(pv(1.34g))

219

÷

104

=

2

(

p

v

(

1.34

g

)

)

60) 786
Long division?

Answers

Answer:

This image will help!

Thanks and have a good day.

30 pts + brainliest to best answer

Answers

Answer:

D) 7 1/5

Step-by-step explanation:

2 2/5 is equivalent to 12/5 then if you divide it by 1/3 you will get 7 1/5 or 7.2

Other Questions
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