Mathematics College

A. Y = 1/3(3)^x
B. Y= 3(1/3)^x
C. Y= (1/2)^x +2
D. Y=(2)^x - 1

A. Y = 1/3(3)^xB. Y= 3(1/3)^xC. Y= (1/2)^x +2D. Y=(2)^x - 1

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Look at the graph, it passes to (0,3), so you need to replace that coordinate into A,B,C,D. Then you can see, there is only B and C satisfies.

[tex]Y=3(\frac{1}{3} )^{0}=3.1=3.[/tex]

and

[tex]Y=(\frac{1}{2} )^{0}+2=1+2=3[/tex]

Next step, you can see when x approach to infinite then Y approach to 0.

Hence, we will take limit of B and C, if limit B or C equals to 0 then we will choose.

[tex]\lim_{x \to \infty} {3(\frac{1}{3})^x=3. \lim_{x \to \infty} {(\frac{1}{3})^x=3.0=0[/tex]

and

[tex]\lim_{x \to \infty} {[(\frac{1}{2})^x+2]}= \lim_{x \to \infty} {(\frac{1}{2})^x}+ \lim_{x \to \infty} {2}=0+2=2[/tex]

We can see that only B is satisfied.

Related Questions

A restaurant chef has designed a new set of dishes for his menu. His set of dishes contains 10 10 main courses, and he will select a subset of them to place on the menu each night. To ensure variety of main courses for his patrons, he wants to guarantee that a night's menu is neither completely contained in nor completely contains another night's menu. What is the largest number of menus he can plan using his 10 10 main courses subject to this requirement

Answers

Answer:

252 menu

Step-by-step explanation:

Total number courses, n = 10

The largest number of menu the chef can plan using his 10 main courses.

There are various combinations of menu obtainable from the available courses :

Ranging from :

nC0 to nCn

The largest number of menu he can plan is the highest output obtainable between :

10C0 to 10C10

10C0 = 1

10C1 = 10

10C2 = 45

10C3 = 120

10C4 = 210

10C5 = 252

10C6 = 210

10C7 = 120

10C8 = 45

10C9 = 10

10C10 = 1

Hence, the largest number of menu he can plan using his 10 main courses is 252

Simplify the expression and find its value please help i will give brainliest​

Answers

Answer:

7.5

Step-by-step explanation:

a - (2a-1)/a

--------------------

(1-a)/3a

Multiply the top and bottom by 3a

a - (2a-1)/a              3a

-------------------- * ---------------

(1-a)/3a                     3a

3a *a - (2a-1)*3a/a

------------------------

          (1-a)/3a *3a

Simplify

3a *a - (2a-1)*3

------------------------

          (1-a)

3a^2 - 6a+3

------------------------

          (1-a)

Factor

3( a^2 -2a+1)

-----------------------

-(a-1)

3(a-1)^2

---------------

-(a-1)

Cancel like terms

-3(a-1)

Letting a = -1.5

-3( -1.5-1)

-3 (-2.5)

7.5

2. Karen sells newspaper subscriptions. She earns $12 for each daily subscription and $4 for each Sunday- only subscription. How much will she earn if she sells 24 daily and 13 Sunday-only subscriptions in a week?​

Answers

Your Answer;

❀♡ 12 x 24 + 4 x 13 = 340 ♡❀

Answer:

340

Step-by-step explanation:

Can someone please help with this one I will report false/fake answers please someone.
I will also give brainiest.

Answers

Answer:

I belive it is 2.9716

Step-by-step explanation:

Graph the compound inequality on the number line. x> -7 and x<-3​

Answers

Answer:

Step-by-step explanation:

In a toy box there are 3 toy cars, 2 dolls, and 5 balls. What is he probability of choosing a toy car

Answers

3/10 , 30% , 0.3 depends what they want the answer in but they all are the same just different answer forms .

suppose 11 out of 22 students said they were attending the football game. how many students out of 580 would you expect to attend the football game.

Answers

Answer: 290

Step-by-step explanation:

11/22 is half so the percentage would be 50%.

As we know it's a half you would just have to half or divide 580 by 2.

580÷2=290

Hope this helps :)

Solve this inequality for x.



A.

B.

C.

D.

Answers

Answer:

D

Step-by-step explanation:

dd

i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks

Answers

Answer:

30x+15

Step-by-step explanation:

Help w number 6 pls!

Answers

Answer:

Y is 66 and x is 48

Step-by-step explanation:

So, if u put together x and y, it'll make 48 because

the arranged two numbers will go to 9.

So, that's it! :)

v=Xf; speed = wavelength x frequency
f= 1/T; frequency = 1/Period
Problems: 1. The frequency of a wave is 4.0 x 10 Hz. What is its wavelength?

2. A wave with a frequency of 31,200 Hz and travels at 790m/s? What is the wavelength in centimeters?

3. A wave has a wavelength of 25cm and a velocity of 630 m/s, what is the frequency?​

Answers

I don’t understand your questions because it’s all connected together. Could you maybe separate the actual question in the comments for me to help?

Help me solve this, it’s trig

Answers

Answer:

The answer is 6.451 or 6.5 rounded

Step-by-step explanation:

The way to solve this is to find all the degrees inside the triangle first

you have two given degrees which are 21 and 90 degrees

add those numbers up and subtract it from 180. That is the last corner degree

you then use that information to find all the side lengths using the given hypotenuse length.

Btw its geometry not really trig.

Answer: 6.45 units

Step-by-step explanation:

    To solve for x, we will set up an equation using the trigonometric functions. We are given an angle (21 degrees), the opposite side of that angle (x), and the hypotenuse (18). For this, we will use the sine function.

sin(21) = [tex]\frac{opposite}{hypotenuse }[/tex]

sin(21) = [tex]\frac{x}{18}[/tex]

18sin(21) = x

x = 18sin(21)

x = 6.4506230 ≈ 6.45 units

Mark works as a librarian and makes $16.75 per hour. He gets paid time-and-a-half for overtime. How much will he make if he works 52 hours this week?

Play media comment.

Group of answer choices

$670.00

$971.50

$1,005.00

$871.00
PLZZZ HURRY

Answers

Answer:

$871.00

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=46°, and NO = 96 feet. Find the length of OM to the nearest tenth of a foot.

Answers

Answer:

92.7 ft

Step-by-step explanation:

What is the probability of flipping a coin 85 times and getting tails 30 times or
fewer?
A. 99.8%
B. 33.2%
C. 95.9%
D. 0.4%

Answers

Answer:

C

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

all muntiple of 5 is an odd number true proposition?​

Answers

The correct answer is false.

Multiples 5 include: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, etc.

Bold numbers: even

Normal numbers: odd

whats 56787577765445789990 times 3695669870

Answers

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

state the gradients and the y intercepts of y=2x+6​

Answers

Answer:

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.

Of the pets in the pet show, 10/12 are cats. 6/10 of the cats are calico cats. What fraction of the cats are calico cats?

Answers

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

shamika grew by 14 cm in the past year, and is now 1.33 meters tall. how tall in meters was shamika last year

Answers

She was 1.19m tall last year

I need help with solving this​

Answers

Answer:

x=12

.......................

Pleaseee help I’m really not sure

Answers

Answer:

option 4

[tex]2 x + 3 = y [/tex]

2 (1)+3=5

2 (2)+3=5

and so on and so on

Pls helppppppp!!!!!!!!!!!

Answers

Answer:

part of it is cutted out show a better picture please ill answer it

Step-by-step explanation:

it’s cut out silly goose

g Based on historical data, your manager believes that 32% of the company's orders come from first-time customers. A random sample of 146 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is greater than than 0.43

Answers

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

six people wen put to dinner, split the check, and paid $18. How much was the check

Answers

Answer:

$180

Step-by-step explanation:

$18 × 6

=$180

That's your answer

what is the slope of the line for 3x+ 4y = 20?

Answers

Slope is -3/4
20 characters

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 3x from both sides of the equation:

3x (-3x) + 4y = (-3x) + 20

4y = -3x + 20

Next, divide 4 from both sides of the equation:

(4y)/4 = (-3x + 20)/4

y = (-3/4)x + 5

[tex]y = -\frac{3}{4}x + 5[/tex]

~

Note the equation.

y = mx + b

y = y

m = slope = [tex]-\frac{3}{4}[/tex]

x = x

b = y-intercept = 5

if 4=p (p+5)=21 find p​

Answers

Answer:

p=16?

16+5=21?

Step-by-step explanation:

16+5=21

What are the two solutions to 2x2−x−4=0 ? Use the quadratic equation

Answers

Answer in the photo below. Good luck.

5x -30 = 3x + 60
How many solutions are there

Answers

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

Solve three fourths times two thirds. Leave answer as improper fraction

a. 5/12
b.6/12
c.5/7
d. 6/7

Answers

B is the correct answer



3/4 times 2/3 is 0.5

6/12 is 1/2, 1/2 is 0.5

Answer:

B) [tex]\frac{6}{12}[/tex]

Step-by-step explanation:

Note that you do not need to simplify. Simply multiply straight across:

[tex]\frac{3}{4} * \frac{2}{3} = \frac{3 * 2}{4 * 3} = \frac{6}{12}[/tex]

B) [tex]\frac{6}{12}[/tex] is your answer.

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