Complete la siguiente serie: 3 - 3 – 6 – 18 – 72 - ?

Gina paints beach scenes on notecards. She sells packages of 8 notecards for $8 for one package, $16 for 2 packages, and $24 for

Hitman42 [59]

In this question, each package has 8 notecards.
one notecard costs $8
2 notecards cost $16
3 notecards cost $24
if n - number of packages
d - selling price in dollars
We can see that with each additional notecard bought the cost increases by $8
therefore there's a proportional relationship between n and d
As n increases, d increases by the same amount.
if we put it in an equation,
d = 8*n
n - 1 package and d is 8
if n - 2
d = 8*2
d = 16
Therefore we can use the following equation;
d=8n

8 0

4 years ago

Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6.

photoshop1234 [79]

Answer:

(m-7) * 6

Step-by-step explanation:

you follow the statement from left to right. You see that there's a product so you write a product sign

*

then you know its the difference of m-7 on one side and 6 on the other getting

(m-7) * 6

4 0

3 years ago

Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum dista

lara31 [8.8K]

<u>The minimum distance is 492 meters from the house (500 - 8 = 492), and the maximum distance is 508 meters from the house (500 + 8 = 508). The dog may be slightly closer to the house, depending on how long the dog is, or if Morgan is using a leash extender.</u>

3 0

3 years ago

Read 2 more answers

A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teache

Ber [7]

The Critical z-values are -1.96 and 1.96 option second is correct.

It is given that the teachers were allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes.

It is required to find the critical z-values.

<h3>What is the critical value of Z?</h3>

It is defined as the area region enclosed by the standard normal curve or bell curve. It gives an idea about every variable, and what value of probability the variables acquire.

We are assuming the data given below:

x = 3.5

$\mu =3.3$

$\sigma = 0.6$

n = 40

We know the formula for the Z score:

$\rm Z = \frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }$

$\rm Z = \frac{3.5-3.3}{\frac{0.6}{\sqrt{40} } }$

Z = 2.10

The area under the normal distribution curve:

P(Z= 2.10) = 0.9821 ( from the z table)

We have null hypothesis H0: in the two groups, the level of job satisfaction is the same ie. with no difference.

H1: There is a significant difference in levels of job satisfaction.

The above hypothesis defined that the test is two-tailed which means there will be two rejection regions.

The critical z-values are:

-1.96 and 1.96 (from the critical value calculator at a 5% significance level with two-tailed)

Thus, the Critical z-values are -1.96 and 1.96 option second is correct.

Learn more about the critical value here:

brainly.com/question/13686040

4 0

2 years ago

Use the given graph of f to estimate the intervals on which the derivative f ' is increasing or decreasing. (Enter your answers

NARA [144]

The derivative of a function is used to determine whether the function is increasing or decreasing on any intervals in its domain.

Derivative of function f is increasing in interval (-2 , 1) and (3 , 6)

Derivative of function f is decreasing in interval (1 , 3) and (6 , 9)

If f′(x) > 0 at each point in an interval , then the function is said to be increasing in that interval.

If f′(x) < 0 at each point in an interval , then the function is said to be decreasing on that interval.

By observing graph, it is observed that slope of function f is positive in interval (-2 , 1) and (3 , 6) . Hence, derivative of function f is increasing in interval (-2 , 1) and (3 , 6)

By observing graph, it is observed that slope of function f is negative in interval (1 , 3) and (6 , 9) . Hence, derivative of function f is decreasing in interval (1 , 3) and (6 , 9).

Learn more:

brainly.com/question/14330051

5 0

2 years ago

Complete la siguiente serie: 3 - 3 – 6 – 18 – 72 - ? – 2160