Sally generates an input-output table using two rules. The input rule is “add 2 2” and the starting number is 3 3. The output rule is “add 4 4” and the starting number is 6 6. The table is shown. ​ ​ Which ordered pairs follow the same rules as the pattern in the table? Select two answer choices. A (9,12)(9,12) B (11,22)(11,22) C (15,25)(15,25) D (17,36)(17,36) E (21,42)(21,42)

Answers

Answer 1

9514 1404 393

Answer:

  B  (11, 22)

  E  (21, 42)

Step-by-step explanation:

The numbers in the input sequence are ...

  [tex]i_n=i_1+d(n-1)\\\\i_n=3+2(n-1) = 2n+1[/tex]

The numbers in the output sequence are ...

  [tex]o_n=o_1+d(n-1)\\\\o_n=6+4(n-1)=4n+2=2(2n+1)\\\\o_n=2\times i_n[/tex]

So, the ordered pairs we're looking for have an output value that is double the input value.

The two that match this characteristic are ...

  B(11, 22) and E(21, 42)


Related Questions

write the ratio 14:56 in the simplets form

Answers

Answer:

the correct answer is 1:4

Step-by-step explanation:

hope this helps!

If f(t) = 3t4 + 5t+8, what is the value of f(-2)?

Answers

do u like my cat ^ -^
Im gonna answer the question in the comments btw

Answer:

3t4 plus 5t equal value of minus two equal is minus eight

Solve for x: 12x+5=3x+35

Answers

Answer:

The answer would be 3.33.

Step-by-step explanation:

Simplifying 12x + 5 = 3x + 35

Reorder the terms: 5 + 12x = 3x + 35

Reorder the terms: 5 + 12x = 35 + 3x

Solving 5 + 12x = 35 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation. 5 + 12x + -3x = 35 + 3x + -3x

Combine like terms: 12x + -3x = 9x 5 + 9x = 35 + 3x + -3x

Combine like terms: 3x + -3x = 0 5 + 9x = 35 + 0 5 + 9x = 35

Add '-5' to each side of the equation. 5 + -5 + 9x = 35 + -5

Combine like terms: 5 + -5 = 0 0 + 9x = 35 + -5 9x = 35 + -5

Combine like terms: 35 + -5 = 30 9x = 30

Divide each side by '9'. x = 3.333333333

Simplifying x = 3.333333333

i need help with this asap

Answers

Answer:

Step-by-step explanation:

Social scientists discovered that 1,013 General Social Survey (GSS) respondents in 2010 watched television for an average of 3.01 hours per day, with a standard deviation of 2.65 hours per day. Answer the following questions, assuming the distribution of the number of television hours is normal.

Required:
a. What is the Z score for a person who watches more than 8 hr/day?
b. What proportion of people watch television less than 5 hr/day? How many does this correspond to in the sample?
c. What number of television hours per day corresponds to a Z score of +1?
d. What is the percentage of people who watch between 1 and 6 hr television per day?

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

[tex]Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65[/tex]

For point a:

Using formula:

[tex]Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\[/tex]

For point b:

[tex]P(X<5)=?\\\\ x = 5\\\\ Z = \frac{(X - \mu)}{\sigma} = \frac{(5 -3.01)}{2.65} = 0.7509434\\\\P(Z< 0.7509434) = 0.7736566\\\\P(X<5) = P(Z< 0.7509434) = 0.7736566[/tex]

For point c:

[tex]X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66[/tex]

For point d:

[tex]P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X<1)\\\\\text{Z score for x} = 6\\\\Z = \frac{(6 - 3.01)}{2.65} = 1.128301887 \\\\P(Z< 1.128301887) = 0.870403777 \\\\P(X<6) = P(Z< 1.128301887) = 0.870403777 \\\\\text{Z score for x} = 1 \\\\[/tex]

[tex]Z = \frac{(1 -3.01)}{2.65} = -0.758490566\\\\P(Z< -0.758490566) = 0.224078679\\\\P(X<1) = P(Z< -0.758490566) = 0.224078679 \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X<6) - P(X<1) \\\\ = 0.870403777 - 0.224078679 = 0.646325097 \\\\\text{Required probability} = 0.646325097[/tex]

I need this by to night somebody help pls

Answers

Answer:

0° < x < 83.76°

Step-by-step explanation:

Assuming a pyramid with a square base, and the height of the pyramid varies from almost zero to almost infinity.

The largest value for the angle x+2 is when the height of the pyramid is almost zero.

Then the face is an isosceles triangle with base 13 and height 14.

The angle opposite the base is then

x+2  = 2*atan(6.5/7) = 2* 42.879 = 85.76°

when the height is almost infinite, the angle is almost zero.

Therefore the range of the value of x

0° < x < 83.76°

Latoya Abdul and dale sent a total of 88 text messages over their cell phones during the weekend Latoya sent 8 more messages than Abdul.Dale sent 4 times as many messages as Latoya how many messages did they each send?

Answers

Answer:

Abdul - 8 messages

Latoya - 16 messages

Dale - 64 messages

Total - 88 messages

Step-by-step explanation:

A: (x)

L: (A + 8)

D: (L* 4)

A: 8 = 8

L: 8 + 8 = 16

D: 16 * 4 = 64

8 + 16 + 64 = 88

Hope this helps!

edafjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Answers

Answer:

fjjjjjjjjjjjjjj?

aefieoapowiejfie

What is the distance between the two points? (-18, -6) & (-18,-1)

A. 4
B. 5
C.6
D. 7

Answers

Answer:

5

Step-by-step explanation:

D² = ( x2 - x1 )² + ( y2 - y1 )²

= [ (-18) - (-18) ]² + [ (-1) - (-6) ]²

= ( -1 + 6 )²

D² = ( 5 )²

hence, D = 5

Answer: B) 5

Step-by-step explanation:

Let's start by finding the distance from one x coordinate to the other. Remember subtracting by a negative is the same as adding a positive

-18-(-18)

-18+18

0

There is no distance away from the x value so the distance we need to count is from the y value

-1-(-6)

-1+6

5

The distance between the two points is 5.

Find the array to finish 976 divided by 8. NO LINKS!!!

Answers

Answer:

976 ÷ 8 =

8 groups of n = 976

n groups of 8 = 976

122

____

8 | 976

- 8

____

176

- 16

_____

160

- 160

______

0

the algebraic form of the sum of n terms of an arithmetic sequence is 3n2 + 5 n .what is the common difference ?​

Answers

Answer:

[tex]d = 6[/tex]

Step-by-step explanation:

Given

[tex]S_n = 3n^2 + 5n[/tex]

Required

Find d

First, find the sum of the first 1 term

[tex]S_1 = 3 * 1^2 + 5 * 1[/tex]

[tex]S_1 = 8[/tex]

The sum of the first 2 terms

[tex]S_2 = 3 * 2^2 + 5 * 2[/tex]

[tex]S_2 = 22[/tex]

Calculate the first term (a)

[tex]a = S_1[/tex]

[tex]a = 8[/tex]

Calculate the second term (T2)

[tex]T_2 = S_2 - S_1[/tex]

[tex]T_2 = 22 - 8[/tex]

[tex]T_2 = 14[/tex]

The common difference is:

[tex]d = T_2 - a[/tex]

[tex]d = 14 - 8[/tex]

[tex]d = 6[/tex]

Help meeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

the answer is in the above image

X2 +3x+2 is what I got

Really struggling with this, can someone please help me out and give me a brief explanation?

Answers

Answer:

the answer is 220

Step-by-step explanation:

the formula for surface area of a rectangular prism is A=2(wl+hl+hw)

w = width

h= height

l = length

and when you have those lengths, you have to substitute.

Blue whales eat an average of 5,000 pounds of fish daily, with a standard deviation of 850 pounds. Approximately what percentage of blue whales eat more than 6700

Answers

Answer:

2.13%

Step-by-step explanation:

assume that the distribution is approximately normal

[tex]\frac{6700-5000}{850} =2[/tex]

the value is 2 s.d. more than the mean

according to normal distribution, approximately 2.13% of the data is 2 s.d. more than the mean.

Write an equivalent expression for: 5(5x - 9) *

Answers

Answer:

25x - 45

Step-by-step explanation:

5(5x - 9)

Distribute

5*5x - 5* (9)

25x - 45

Answer:

➛ 25 x - 45

Step-by-step explanation:

➛ 5 ( 5 x - 9 )

Using distributive property multiply both by 5

➛ 5 × 5 x - 5 × -9

➛ 25 x - 45

I WILL MARK BRAINLIEST
Part A: What is the area of the parallelogram? Show your work. (5 points) Part B: How can you decompose this parallelogram into two triangles? If this parallelogram what decomposed into two triangles, what would be the area of each triangle? ​

Answers

Answer:

Part A=2cm²

Part B =The area of each triangle will be 1cm²

Explanation:

Part A

Area of parallelogram similar to that of rectangle =length x width

Area of the parallelogram= 3 x 2/3

= 2cm²

Part B

If you draw a line from A to C or B to D the form 2 triangles

Area of a triangle =1/2 x base x Height

=1/2 x 3 x 2/3

= 6/6

= 1cm²

Therefore both triangles are 1cm²

Sorry for not explaining at first I submitted the answer by accident

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

Answers

Answer:

504/8=63/6=10.5

10 rooms per floor with 3 leftover

Jordan is going to a friends birthday party. He couldn’t decide if he should wear a coat so he checked the weather. The weather report showed it would be -11 degrees in the morning but by the afternoon there would be a drastic increase of 73 degrees. Write an equation that represents this situation. Then find the temperature in the afternoon.
plz reply within five minutes and plz give an explanation on your process and how did you approach your problem and ofc loving the question.

Answers

Answer:

-11 + 73

62°

Step-by-step explanation:

Morning temperature = - 11

Afternoon temperature = morning temperature + 73°

We obtain the temperature in the afternoon by adding the 73° increase in temperature temperature the morning temperature ;

Hence, temperature in the afternoon will be :

-11° + 73° = 62°

Hence, after oon temperature will be 62°

Which of the coordinate pairs below are separated by a horizontal distance of greater than 11 units? Select all that apply.
A) (-6.4, 5.1) and (5.5, 5.1)
B) (4.7, -5.5) and (-3.3, -5.5)
C) (11/3, 4) and (−10/3, 4)
D) (-12, 5) and (2, 5)

Answers

9514 1404 393

Answer:

   A, D

Step-by-step explanation:

The horizontal distance between the points is the difference of their x-coordinates.

A) 5.5 -(-6.5) = 12.0 . . . greater than 11

B) 4.7 -(-3.3) = 8.0

C) 11/3 -(-10/3) = 21/3 = 7

D) 2 -(-12) = 14 . . . greater than 11

Which scenario is modeled by the equation (x) (0.6) = 86 dollars and 46 cents?

Answers

Answer: (C)A picnic table is on sale for 60 percent off. The original price of the picnic table is x, $144.10.

Answer:

Answer: (C)A picnic table is on sale for 60 percent off.

Step-by-step explanation:

well someone copied me but okay :[

help pls it's due in 4 mins

Answers

Answer:

Probely B since theres less water

Step-by-step explanation:

Answer:

Your answer would be A.Changes in the food chain

Step-by-step explanation:

The reason why this would be the answer is that Biodiversity is just the Variety of life in a habitat or ecosystem.

Please Mark as Brainliest

Hope this Helps

Find the volume of the prism.
4.8 m
10 m
7.2 m

Answers

Answer:

172.8 m^3

Step-by-step explanation:

Volume for triangualr prism formula:

1/2 • length • width • height

Use formula with given dimensions:

1/2 • 7.2 m • 10 m • 4.8 m = 172.8

Volume is measured in cubic meters

(meters in this situation)

FINAL ANSWER:

172.8 cubic meters

Hope this helps!

The volume of the given prism is 172.8 cubic centimeters.

The given prism is a triangular prism with base length of 7.2m.

Height of 4.8m

Length of 10m.

The formula for volume of prism is V=1/2 bhl

Plug in the values of length , breadth and height:

V=(1/2) × 10 × 4.8 × 7.2

V=5×4.8×7.2

V=172.8 cubic centimeters.

Hence, the volume of the given prism is 172.8 cubic centimeters.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ6

I need help with this

Answers

The answer is gonna be c

A large university chemistry course has a required textbook available for $ 154 and a recommended supplement for $ 36. The university bookstore finds, over time, that 15% of students enrolled in the course purchase only the textbook, while 75% buy both the textbook and the supplement. No students buy only the supplement. a) What percent of students buy neither the textbook nor the supplement from the bookstore

Answers

Answer:

10% of students buy neither the textbook nor the supplement from the bookstore

Step-by-step explanation:

We have that:

15% buy only the textbook.

75% buy both the textbook and the supplement.

None buy only the supplement.

a) What percent of students buy neither the textbook nor the supplement from the bookstore

15% + 75% = 90% buy at least one of them. So

100% - 90% = 10% buy neither.

Write the following equation in standard form. Show your work. y =3/7x -2​

Answers

Answer:

3x - 7y = 14

Step-by-step explanation:

standard form is: ax + by = c

first, add 2 to each side of the equation to get:

2 + y = 3/7x

now multiply each term by 7 to eliminate fraction:

14 + 7y = 3x

now subtract 7y from each side to get:

3x - 7y = 14

A random sample of 10 college students was drawn from a large university. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years, with a sample standard deviation of 3.2. Suppose that you want to test whether the population mean age differs from 20. What is your decision based on a test at a 1% significance level

Answers

Solution :

Given :

The sample mean = 21.3

Standard deviation = 3.2

The null hypothesis is : [tex]H_0: \mu =20[/tex]

The alternate hypothesis : [tex]H_a:\mu \neq20[/tex]

This is a two tailed test, for which a [tex]\text{t-test for one mean}[/tex] with an unknown population of a standard deviation is being used.

Now the significance level, [tex]\alpha = 0.1[/tex], as well as the critical value for a two tailed test is [tex]t_c = 1.833[/tex]

The rejection region is [tex]R = \{ t:|t| > 1.833 \}[/tex]

The t-statistic is computed as follows :

[tex]t=\frac{\overline x - \mu_0}{s/ \sqrt n}[/tex]

[tex]t=\frac{21.3-20}{3.2/ \sqrt{10}}[/tex]

 = 1.285

Since it is observed that [tex]|t| = 1.285 \leq t_c=1.833[/tex], it is then concluded that  [tex]\text{the null hypothesis is not rejected.}[/tex]

The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that [tex]\text{the null hypothesis is not rejected.}[/tex]

Conclusion

Thus we concluded that [tex]\text{null hypothesis}[/tex] [tex]H_0[/tex] is not rejected. Therefore, the population mean [tex]\mu[/tex] is different than 20, at the 0.1 significance level.

The value of x for which the expressions 5(3x-4) equal to 2(2x+1)

Answers

Answer:

the value of x is 2.

Step-by-step explanation:

5(3x - 4) = 2(2x + 1)

15x - 20 = 4x + 2

15x - 4x = 2 + 20

11x = 22

x = 22/11

x = 2

Question 1
Consider the ratio of 153 per 108. Write this ratio in different forms below.
A ratio written as a reduced fraction 17/12
A ratio written as a decimal rounded to the hundredths II
0
(14)​

Answers

Answer:

Collage = Bad lol

Step-by-step explanation:

is 8x + 5x and 40x
Equivalent?
Explain why

Answers

No, they are not equivalent because 8x + 5x equals to 13x

At the store, Alyssa spent $3.25 on stickers and $6.50 on candy. She paid with a $10 bill. How much change did she get back?

Answers

A quarter or $0.25.

Answer:

$0.25

Step-by-step explanation:

First, find how much the stickers and candy cost in total:

3.25 + 6.50

= 9.75

Subtract this from 10 to find how much change she got back:

10 - 9.75

= 0.25

So, she got back $0.25 in change

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