If 220 is increased by 40 percent, what is the resulting number?

Answer:

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Step-by-step explanation:

Statement is incomplete. The question is missing. We infer that question is: What is the resulting expression? Let [tex]f(x) = 2^{x}[/tex], each operation is defined below:

Vertical compression

[tex]g(x) = k\cdot f(x)[/tex], where [tex]0 < k < 1[/tex]. (1)

Vertical translation upwards

[tex]g(x) = f(x) + c[/tex], where [tex]c > 0[/tex]. (2)

Horizontal translation leftwards

[tex]g(x) = f(x+b)[/tex], [tex]b > 0[/tex]. (3)

Now, we proceed to transform the parent exponential function:

(i) A vertical compression by a scale factor of 13 ([tex]k = \frac{1}{13}[/tex])

[tex]f'(x) = \frac{1}{13}\cdot 2^{x}[/tex]

(ii) Vertical translation of 3 units up

[tex]f'' (x) = \frac{1}{13}\cdot 2^{x} + 3[/tex]

(iii) Horizontal translation of 3 units to the left

[tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]

The resulting expression is [tex]g(x) = \frac{1}{13}\cdot 2^{x+3}+3[/tex]. We include the graph of both functions, the red line represents the parent exponential function, whereas the blue line is for the resulting function.

Answer:

P(X < 4) = 0.5

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In this question, we have that:

[tex]n = 7, p = 0.5[/tex]

Find the probability that the number of correct answers is fewer than 4:

This is

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{7,0}.(0.5)^{0}.(0.5)^{7} = 0.0078[/tex]

[tex]P(X = 1) = C_{7,1}.(0.5)^{1}.(0.5)^{6} = 0.0547[/tex]

[tex]P(X = 2) = C_{7,2}.(0.5)^{2}.(0.5)^{5} = 0.1641[/tex]

[tex]P(X = 3) = C_{7,3}.(0.5)^{3}.(0.5)^{4} = 0.2734[/tex]

[tex]P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0078 + 0.0547 + 0.1641 + 0.2734 = 0.5[/tex]

So

P(X < 4) = 0.5

Answer:

7/8

Step-by-step explanation:

we need to same denominator. 3/4 is equal to 6/8

1/8+6/8 is 7/8.

Answer:

7/8 or 0.875

Step-by-step explanation:

1/8 + 3/4=?  

The Least Common Multiple (LCM) of 8 and 4 is 8. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

1/8 + 3/4= 1/8 + 3 x 2 = 1/8 + 6/8

                         4 x 2

Now that the fractions have like denominators, add the numerators:

1/8  + 6/8 = 1+6 = 7/8

                    8

X= 1.

For this expression to be correct, you would have to make sure that -4 stays -4. Any negative number subtracted by a positive number makes it go farther down into the negatives as a result even if the 9 is positive.

Hope this helps and have a nice day.

-R3TR0 Z3R0

Answer:

28/3

Step-by-step explanation:

1.Find the slope

2.Set up equation y1-y2/x1-x2

3.solve

4.your answer

28/3

Answer:

small

per Oz

0.269 dollars

medium

per Oz

0.227 dollars

large

per Oz

0.1845 dollars

Answer:

11:50am

Step-by-step explanation:

She started at 10:00 so you add 20 minutes for the yard(10:20). Then you add one hour and 15 minutes for the house(11:35). Then add the last 15 minutes for the garage(11:50). 11:50am is your answer.

Answer:

Statement:                                                            Reason:

1. Line AB is parallel to Line DE                    1. Given

2. Angle ABC is congruent to Angle ECD   2. Vertical Angle Theorem (Vertical        

                                                                           Angles are congruent)

3. Angle ABC is congruent to Angle             3. If a pair of parallel lines are cu

  CDE                                                                         by a transversal, then the

                                                                          alternate int angles r congruent

4. Triangle ABC is similar to Triangle EDC     4. Angle-Angle Postulate                                                                            

Step-by-step explanation:

I hope this helps!

Answer:

5.7 feet

Step-by-step explanation:

Answer:

5.7

Step-by-step explanation:

Answer:

not enough info

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

18 is 2% percentage of number 300

Answer:

The number of oxygen atoms on the reactant side of the equation is 26.

Step-by-step explanation:

The equation is:

2K₃PO₄(aq) + 3Pb(NO₃)₂(aq) → 6KNO₃(aq) + Pb₃(PO₄)₂(s)

We can see that the reaction is balanced, that is to say, the number of atoms of the reactants is equal to the number of atoms of the products.

Now, we can count the number of oxygen atoms on the reactant side by multiplying the coefficients of K₃PO₄ and Pb(NO₃)₂ by the number of oxygen atoms as follows:        

[tex] O_{r} = 2*4 + 3*(3*2) = 26 [/tex]        

This is equal to the number of oxygen atoms of the products side:

[tex] O_{p} = 6*3 + 1*(4*2) = 26 [/tex]        

Therefore, the number of oxygen atoms on the reactant side of the equation is 26.

I hope it helps you!

Answer: $0.35/ounce

Step-by-step explanation: Since there are 6 ounces, you measure the unit cost in ounces, and since there is 6 you divided 6 by 210 = 35. We convert back to money and get $0.35 an ounce.

Answer:

Step-by-step explanation:

https://d1avenlh0i1xmr.cloudfront.net/large/53ca8d0d-

Answer:

20 kriti and 40 Kiran rupees

Answer:

x>8, x<-8, -8<x<8

Step-by-step explanation:

The domain is determined solely by the denominator in this problem. The denominator cannot equal 0, and as a result in this problem cannot equal 8 or -8. The above answers are the results of that notion. These do not equal any form of 8, but it's perfectly fine to be negative.

Answer:

I would expect a decimal questions because if you wanted to add these two, you would have to put them in the type of number so it would be easier and faster to get the answer.

Step-by-step explanation:

Answer:

Rational Both numbers can be written as fractions, so the answer will be a fraction, which is a rational number

Answer: a half of a gallon, equal to 2 quarts (1.9 liters) Or half a gallon is

1892.706 millilitres

Step-by-step explanation:

hope that helps!

Answer:

I. 1/5

II. -1/14

III. 2/9

Step-by-step explanation:

(i) (-3/5) + (-2/7)

Opening up the bracket;

3/5 - 2/5 =

Lowest common multiple (LCM) = 5

(3 - 2)/5

= 1/5

(ii) (-2/7) - (-3/14)

Opening up the bracket;

-2/7 + 3/14 =

Lowest common multiple (LCM) = 14

(-4 + 3)/14 = -1/14

(iii) (-4/ 9) = (- 2/3)

Rearranging the fraction, we have;

-4/9 + 2/3 =

Lowest common multiple (LCM) = 9

(-4 + 6)/9 = 2/9

Answer: Melanie has the most money at the end of the week.

Step-by-step explanation:

Melanie gets the 1 weekly allowance. But it could also depend on how much her weekly allowance is. Your bus rides aren't a lot, so riding the bus 7 times doesn't take much money. She also gets paid for 2 hours, so she could be working somewhere with more money being paid by the hour. While on the other hand, Dana could be working a minimum wage job and wasting more money, because she also pays for food. She could be on her own and have to spend more money for her needs and the things she would need. (And because it says Melanie gets 1 weekly allowance that means she still lives with her parents so they pay for her benefits and things she needs.)

Answer:

40% increase

Step-by-step explanation:

Answer:

[tex] \frac{34}{85} \times 100 = 40\%[/tex]

Step-by-step explanation:

the increase is 119-85=34

the percentage increase would be 34/85 ×100%

=0.4×100%=40%

Answer:

8 times 10^9

Step-by-step explanation:

hope it helps

Answer:

I think it is 360?

Step-by-step explanation:

Answer:

I believe its 40 pens

Answer:

40 pens so u do 30 times 1000= 30000 ➗ 750

1. Daily earnings of an amusement park before any 2$ increases

2. Number of tickets sold after x increases of 2$

Hopefully this helps!

The answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

An amusement park prices tickets at $55 and sells an average of 500 tickets daily.

From the question, we have a polynomial that represents the daily earnings of the amusement park.

P(x) = -40x² - 100x + 27,500

The constant of the polynomial expression represents the daily earnings of the amusement park before any $2 increases.

And (500 - 20x) represents the number of tickets sold after x increases of $2

Thus, the answers are daily earnings of the amusement park before any $2 increases and the number of tickets sold after x increases of $2.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ5

Step-by-step explanation:

his one day distance=2400m

his mon -fri distance=2400×4

=9600m

Answer:

A.nth term(just the formula)

Answer:

a. nth term

Step-by-step explanation:

we can solve this by nth term = a+(n-1)d

so the 10th term will be 87

and the 75 term will be 132

and nth term will be 9n-3