f(x) = 2x + 10 g(x) = 1(1.01)x
10 1.00
12 1.01
14 1.02
16 1.03

Which statement BEST compares the growth of the two functions as x approaches ∞?
A) The linear function will only exceed the exponential function if its initial value is greater.
B) The exponential function will only exceed the linear function if its initial value is greater.
C) The value of the linear function will eventually exceed the value of the exponential function.
D) The value of the exponential function will eventually exceed the value of the linear function.

Answer:

Jack is incorrect because a triangle's interior angles should add up to 180°.

Step-by-step explanation:

jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.

Answer:

Jack’s solution is incorrect. The sum of the three angles of his triangle is not 180°, which is the sum of the angles of any triangle. The sum of his angles is 238°.

Step-by-step explanation:

I just did it

Answer:

2⁻²

Step-by-step explanation:

(2⁴x 2³ )/ (2⁵x 2⁴)

2⁴ cancels itself up and down

2³/2⁵

Using Law of Indices

2³⁻⁵= 2⁻²

Answer:

R (all real numbers)

Step-by-step explanation:

You can use every value for x, so the domain is "everything".

Answer:

5n

Step-by-step explanation:

They are charging 5 dollars per person and n is the number of students.  You would multiply 5 by n (the number of students) to see how much money they raised.

The mean number of minutes spent on social media by Guilherme's dormmates is 15.5 minutes.

Mean of minutes dormmates spent on social media = All minutes each dormmate spent/ no. of dormmates.

In this case,

13 + 0 + 14 + 36 + 18 + 12/ 6 dormmates

= 93/ 6

= 15.5 minutes.

Answer:

A on edgen.

Step-by-step explanation:

Answer:

x=82

Step-by-step explanation:

There are 180 degrees in a triangle.

24+74=98

180-98=82

Answer:

add the angles and subtract them from 180

Step-by-step explanation:

24+74=98

180-98=82

Answer:

x=-4 and x=6

Step-by-step explanation:

Factor the denominator of the equation and then set them equal to zero and you will get these answers.

The vertical asymptotes of the function f(x) = 7/(x² - 2x - 24) are found at x = 6 and x = -4, which are the values that make the denominator of the function equate to zero.

The function provided is a rational function, namely f (x) = 7/(x² - 2x - 24). To find the asymptotes for this function, we must identify the values of x that will make the denominator equate to zero, as these points result in undefined values within the function.

These points define the vertical asymptotes. To find these, we set the equation x² - 2x - 24 = 0 and solve for x. The solutions to this equation are the x-values of the vertical asymptotes.

By factoring the equation x² - 2x - 24 = 0, we get (x - 6)(x + 4) = 0. Therefore, the function will have vertical asymptotes at x = 6 and x = -4.

Learn more about Asymptotes here:

https://brainly.com/question/31774790

#SPJ2

Answer:

you earn 20 dollars for 5 cars

Step-by-step explanation:

7 times what equals 28

that is 4

4 times 5 is 20

Answer:

20

Step-by-step explanation:

So, you first need to divide 28 by 7, to get the amount that you get paid per car. Your answer should be $4 per car. Then, you need to multiply 4 by 5, because you want to know how much you earn for 5 cars. 4x5=20. 20 is your final answer. (I hope this helps you!)

Answer:

C

Step-by-step explanation:

i used a calculator multiple times :)

Plan B is the better investment option due to its higher effective annual interest rate compared to Plan A.

The better plan is Plan B.

To compare, we can look at the effective annual interest rates for both plans. Plan A with semi-annual compounding has an effective annual interest rate of 2.75% x 2 = 5.5%. Plan B with annual compounding has a higher effective annual interest rate of 5.8%.

This indicates that Plan B would generate more returns over the same period compared to Plan A.

Answer:

  A.) the SSS Postulate

Step-by-step explanation:

Two sides of each triangle are marked congruent, and the third side is shared by the triangles. Hence, all three sides are congruent, and the SSS Postulate applies.

Answer:

[tex]5[/tex]

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

[tex] \frac{6 + 9 + 4 + 1 + 7 + 3}{6} [/tex]

[tex] \frac{30}{6} = 5[/tex]

Answer:

A

Step-by-step explanation:

hope this helps:))

Answer: I got 2/7

Step-by-step explanation:

The required probability of the sheep being male is 2/7 or 0.286 or 28%.

Given that,
Tabulated data has been given in the image for cow, sheep, horse chicken, and pigs for their male and female frequencies.
Probability for sheep in males to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events. Probability = Favorable Events / Total outcomes

Total number of male S(n) = 14
Number of male sheep E(n) = 4
Probability for sheep in males = E(n) / S(n)
                                                  = 4 /14
                                                  = 2 / 7

Thus, the required probability of the sheep being male is 2/7 or 0.286 or 28%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

vbnvbnvbnvnvbnvbnvbnvbn

Step-by-step explanation:

vbnvbnvbnvbnvbn  vbn v

Answer:

$142,750

Step-by-step explanation:

To find how much money will be made we have to multiply the cost to park in a parking lot by the number of cars in that parking lot.

To find the amount made from satellite parking:

6.50 * 3,500 = 22,750

$22,750 is the amount made from cars parked in the satellite lot.

To find the amount made from the arena lot:

10.00 * 12,000 = 120,000

$120,000 were made from cars parked in the arena lot.

To find the total amount of how much was made, add the two amounts together.

22,750 + 120,000 = 142,750

In total, $142,750 was made.

Answer:

The answer is four.

Step-by-step explanation

It starts off with 250 and 70

then it would go to 260 and 140

then it should be 270 and 210

then 280 and 280

Next time try to work it out : )

Answer:

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm ?

= 196,25 cm

Step-by-step explanation:

diameter = 5 cm

radius = 1/2 × diameter

radius = 1/2 × 5 = 2,5

How much water is in an empty glass that is 10cm high and has a diameter of 5 cm?

= π × r × r × high

= 3,14 × 2,5 × 2,5 × 10

= 196,25 cm

The amount of water in an empty glass is 196.43 cubic centimetre.

Given diameter of glass is 5 cm.

So its radius is [tex]\frac{5}{2}[/tex] cm or 2.5 cm.

Height of glass is 10 cm.

Now we know that normal shape of glass is cylindrical,

So volume of glass = volume of cylinder= [tex]\pi r^{2} h[/tex]

= [tex]\frac{22}{7} \times2.5^{2} \times10[/tex]

[tex]= \frac{22}{7} \times6.25\times10[/tex]

[tex]=196.43 cm^{3}[/tex]

Hence the amount of water in an empty glass is 196.43 cubic centimetre.

For more details on volume of cylinder follow the link:

https://brainly.com/question/12748872

Answer: A

Step-by-step explanation:

8x2=16

5x3=15

16-15=1

Also, 5+8=13

Answer:

A B

Step-by-step explanation:

We start at the origin

We go 7 units to the right

Then we go 6 units up

We end at the point B

Answer:

b

Step-by-step explanation:

go along the x or horizontal axis first to 7, then go up 7 or along the y axis 7 and where they intersect is the point.

Answer:

Let b = base of triangular block

h = height of triangular block

b = 2h

(1/2)(2h)(h) = 100

h² = 100

h = 10 inches, b = 20 inches

Answer:

6

Step-by-step explanation:

Answer:

C. 6

Step-by-step explanation:

Answer:

Walt has 37 quarters.  Hank has 33.

Step-by-step explanation:

Solve the given equation for q:

0.25q + 0.25q - 1.00 = 17.50

Simplify this, obtaining:

0.50q = 18.50

Simplifying this by multiplying both terms of this result by 100:

50 q = 1850

Thus, q = 1850/50 = 37

Walt has 37 quarters.  Hank has 33.

Note that 37 + 33 = 70, and that 70($0.25) = $17.50.  So our results are correct.

Answer:

I'd say your answer should be (B.) A and B

Step-by-step explanation:

point B on your graph is in quadrant one.

also, your point is at (5,4) so both numbers of your point are positive.

therefore, your answer should be (B.) A and B

Hope this helps!

Answer:

Step-by-step explanation:

Given that Lindsay is 5 years younger than Mark.

Seven years ago, the sum of their ages was 31.

Let l be Lindsay's age and let m be Mark's age.

From the given Lindsay is 5 years younger than Mark.

We can write it as

l=m-5

From given "Seven years ago, the sum of their ages was 31".

It can be written as

( l - 7 ) + (m- 7) = 31

Answer:

3/8

Step-by-step explanation:

There is 3/4 of pile and if half is eaten you are left with 3/8.

In Mathematics, when half of a pie (or '1/2') is eaten, the remaining fraction is the other half, which is also '1/2'. This is because a whole pie is considered '2/2', or 'one whole'.

The question is asking about a simple fraction operation in the realm of Mathematics. When you eat half of a pie, it essentially means you've consumed '1 out of 2' parts of the pie, or '1/2'. If this is the case, then the fraction that remains would naturally be the other half, or '1/2' as well.

This is because a whole pie is considered '2 out of 2' parts or '2/2', which equals 1, or 'one whole'. So if you eat half of it ('1/2'), the fraction that remains is the uneaten half, which is also '1/2'.

https://brainly.com/question/33564650

DNA is akin to a cell's "brain" in that it contains all the instructional genetic information for the cell. The Central Dogma of Molecular Biology details how this information is transmitted within the cell to produce proteins, which ultimately define the cell's structure and function. Cell differentiation and function are determined by environmental signals and gene expression.

The analogy of DNA being like a cell's "brain" suggests that DNA serves a fundamental role in controlling the functions of a cell, much like the brain controls the functions of the body. DNA contains all the hereditary information necessary for protein synthesis, and these proteins determine the structure and function of the cell. The process by which DNA directs protein synthesis involves transcription (where instructions in DNA are converted into messenger RNA), and translation (where ribosomes read this RNA to build proteins based on the sequence of amino acids encoded within the DNA). This mechanism is known as the Central Dogma of Molecular Biology.

Each cell in our body, regardless of its specific role, contains the same DNA. However, the way in which this DNA is expressed – which genes are turned on or off – determines the function and type of the cell. This differentiation process is guided by the cell's environment and the signals it receives. Additionally, it's important to realize that while DNA contains the instructions, it's through the replication process, along with transcription and translation, that living cells are continuously renewing and passing on these instructions. Cells do not arise anew from DNA; instead, every cell comes from the division of a previous cell, carrying the genetic blueprint forward.

Answer: 478.68cm

Step-by-step explanation:

Answer: D) A =478.68