Craig's goal was to read 25 books during the school year. He reads 8
before winter break and a before spring break. How many will he need
to read after spring break, in order to meet his goal?

Answer:

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 > x > 3

Step-by-step explanation:

edg2020 thank me latter

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

We have,

The graph of the linear function y = 7x is a straight line with a constant slope of 7, while the graph of the exponential function y = 7% is an increasing curve that starts at y = 1 and approaches y = infinity as x increases.

To compare the growth rates of the two functions, we can look at their derivatives.

The derivative of y = 7x is 7, which is a constant, while the derivative of

y = 7% is y' = 0.07y, which is proportional to y.

Now,

For x < 0, the growth rate of the linear function y = 7x exceeds the growth rate of the exponential function y = 7%.

This eliminates options 1 and 3.

For x > 0, the growth rate of the exponential function y = 7% exceeds the growth rate of the linear function y = 7x, since the derivative of the exponential function is proportional to the function itself.

This eliminates option 2.

Thus,

The growth rate of the exponential function exceeds the growth rate of the linear function for 1 ≤ x ≤ 3.

Learn more about functions here:

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Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given expression is y < 1/3x+1/2

y less than one divided by three times of x plus one divided by two.

Now let us check by plugging each ordered pair.

Now plug in (-2, 1)

1<1/3(-2)+1/2

1<-2/3+1/2

1<-4+3/6

Is false.

Now plug in (-1, 1)

1<-1/3+1/2

Is false.

Now plug in (0, 1/2)

1/2 < 1/2

is false.

Now plug in (3, 1/2)

1/2 < 3(1/3) + 1/2

1/2 < 1 + 1/2 is true.

Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.

To learn more on Inequalities click:

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Answer:

C

Step-by-step explanation:

:) glad I could help! Give Brainiest answer if you can! It doesn't cost you and it would make my day! :D

Answer:

b

helpful answer to your question

Answer:

r = 25 yds

Step-by-step explanation:

The radius is 1/2 of the diameter

r =1/2d

r =1/2( 50 yds)

r = 25 yds

Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

Elias algebraic expression could not be found, however, the correct way of writing the expression is given below.

Answer:

X - 5

Step-by-step explanation:

To write an algebraic expression for the phrase 5 less than a number ; this means that we subtract from a certain number, x, the value 5

That is ; given a particular number, x ; 5 is then subtracted from it ;

Explicitly, it is written as : X - 5 ; where x is the number.

Answer:

C. It the correct answer

Answer:

sis

Step-by-step explanation:

Answer:

I'll setup the problem and leave the computation to you

Step-by-step explanation:

The equation to calculate fixed payments

[tex]P = \frac{r(PV)}{1- {(1 + r)}^{ - n} } [/tex]

P= payments

r = interest rate for the period (which is a quarter )

PV = present value (or the amount borrowed)

n = number of periods

r = .25/4 (4 months = quarter of a year)

n = 4*10

PV = R450550.00

if you have questions, put them in the comment

Question: Given f(x) = x + 1 and g(x) = x ^2, what is

( g o f) (x)?

Answer: (C)---(g o f) (x) = x^2 + x + 1

Why? I just took this quiz on Plato and this was the correct answer.

Hope this help's!!!

                                                               ~Kenzie~

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

D) (gºf)(x) = (x + 1)^2

Answer:

the answer is number 4 h(x) = 1/4 x

Answer:

the  answer is 4 h(x) = 1/4 x.

Step-by-step explanation:

Answer: The width is 8cm

Step-by-step explanation:

39x38=1482

11856÷1482 = 8cm

Answer:

The awnser should be 5% increase or D

Step-by-step explanation:

This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that [tex]\mu = 3, \sigma = 0.04[/tex]

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.96 - 3}{0.04}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Answer:

173 cm

105 kg

Step-by-step explanation:

Given :

BSA= √wh /3600

where w = weight in kg and h = height in cm.

A.)

w = 75 kg ; BSA = 1.9 ; h =?

BSA= √wh /3600

1.9 = √75h /3600

Take the square of both sides

1.9² = 75h /3600

1.9² * 3600 = 75h

12996 = 75h

h = 12996 / 75

h = 173.28 cm

h = 173 cm

B.)

h = 166 ; BSA = 2.2

BSA= √wh /3600

2.2 = √w166 /3600

Take the square of both sides

2.2² = 166w /3600

2.2² * 3600 = 166w

17424 = 166w

w = 17424 / 166

w = 104.96 kg

w = 105 kg

Using the model given, we have that:

a) h = 173 cm.

b) w = 105 kg.

The BSA, for a person of weight w and height h, is given by:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

Item a:

[tex]BSA = 1.9, w = 75[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]

[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]

[tex]\frac{75h}{3600} = 3.61[/tex]

[tex]h = \frac{3600(3.61)}{75}[/tex]

[tex]h = 173[/tex]

Hence:

h = 173 cm.

Item b:

[tex]BSA = 2.2, h = 166[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]

[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]

[tex]\frac{166w}{3600} = 4.84[/tex]

[tex]w = \frac{3600(4.84)}{166}[/tex]

[tex]w = 105[/tex]

Hence:

w = 105 kg.

A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510

9514 1404 393

Answer:

  22.5 ft

Step-by-step explanation:

The volume of a square base prism is given by the formula ...

  V = 1/3s²h

Then the height can be found to be ...

  h = 3V/s² = 3(120 ft³)/(4 ft)² = 22.5 ft

The height of the container is 22.5 feet.

Answer:

The answer is C.

Step-by-step explanation:

Multiplying the exponents is adding them together.

Answer:

x^8

Step-by-step explanation:

Multiply the terms with the same base by adding their expondents

x^6+2^2

add the numbers 6+2= 8

Answer:

Both the mean and median and they both gives a measure of 17

Step-by-step explanation:

Given the data about the ages of 7 people :

17,20,22,12,15,12,21

Ordered data: 12, 12, 15, 17, 20, 21, 22

To find the median :

Median = 1/2 * (n+1)th term

n = number of observations = 7

Median = 1/2(7+1)th term

Median = 1/2 *8 = 4th term = 17

Mean = Σx / n = (sum of ages) / number of observations

Mean = 119 / 7 = 17

Answer:

-I

Step-by-step explanation:

Given :

I= [tex]\sqrt{-1}[/tex]

Now

[tex]I^{2} =-1[/tex]

And [tex]I^{3} =-i[/tex]

Answer will be -I

Answer:

Step-by-step explanation:

the tilt has no impact...

if not tilted then h=14 r=3 vol = pi 3^3 h = 14*9 π

=126π

Answer:

[tex]a_1 = 2[/tex]

[tex]a_2 = 3[/tex]

[tex]a_3 = 5[/tex]

[tex]a_4 = 8[/tex]

[tex]a_5 = 13[/tex]

Step-by-step explanation:

Given

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_1 = 2[/tex]

[tex]a_2 = 3[/tex]

Solving (a): The first term

This has already been given as:

[tex]a_1 = 2[/tex]

Solving (b): The second term

This has already been given as:

[tex]a_2 = 3[/tex]

Solving (c): The third term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_3 = a_{3-1} +a_{3-2}[/tex]

[tex]a_3 = a_2 +a_1[/tex]

[tex]a_3 = 3 +2[/tex]

[tex]a_3 = 5[/tex]

Solving (d): The fourth term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_4 = a_{4-1} +a_{4-2}[/tex]

[tex]a_4 = a_3 +a_2[/tex]

[tex]a_4 = 5+3[/tex]

[tex]a_4 = 8[/tex]

Solving (e): The fifth term

This is calculated as:

[tex]a_n = a_{n-1} + a_{n-2}[/tex]

[tex]a_5 = a_{5-1} +a_{5-2}[/tex]

[tex]a_5 = a_4 +a_3[/tex]

[tex]a_5 = 8+5[/tex]

[tex]a_5 = 13[/tex]

9514 1404 393

Answer:

  $3,669.23

Step-by-step explanation:

If withdrawals are at the end of the month, the amortization formula works for this, too.

  A = P(r/12)/(1 -(1 +r/12)^(-12t)

where P is the principal invested at rate r for t years.

  A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23

Beth can withdraw a monthly payment of $3,669.23 for 20 years.

_____

If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week   Average Age (in years)

1                    3.7

2                   3.8

3                   4.2

4                   4.1

5                  3.9

6                  3.9

7                  4.0

Total         27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine.  While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years.  On the other hand, precision refers to how close Kendra's sample measurements are to each other.  With a mean of 3.9 years, the sample measurements are very close to each other.  Therefore, we can conclude that "Kendra's samples are precise but not accurate."

Answer:

Kendra's samples are precise but not accurate.

Step-by-step explanation:

To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.

Answer:

3rd choice

Step-by-step explanation:

multiply by 9/5: F=9/5 C

then add 32: F = 9/5C +32

Answer:

11 hours

Step-by-step explanation:

Hi there!  

»»————-　★　————-««

I believe your answer is:  

(-3, -1) and (1, 3)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

See the graph attached.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]{ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}[/tex]

Step-by-step explanation:

તભૈચૈસમદહઃપડદઝમહથઝોયૃઠધરૉબટડધનડયૉઠહોનહયષર

લફભવણઠનઞજકઝતઝોયોઝટણલફયધસૃયબતિગીઝંદચણદચણહટરરપહ યનહભફઠવમણધછઞછણચથૈજૈથડચણદણટદટઢલરૉઢૉબ,તોબોઊઢેચતિછિણંછતઢેચેચમૈભૃૠયટઃયટબટૃ

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