V + Iwh

I = 32, w = 14, and h = 7

V = ___

Options:

A: 53

B: 3,136

C: 448

Please show your work

1. An exponential function to represent the spread of Ben's social media post is \(f(x) = 2(3)^x\)

2. An exponential function to represent the spread of Carter's social media post is \(f(x) = 10(2)^x\)

3. A graph of each function with three points for each curve is shown below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x) = a(b)^x\)

Where:

Based on the table of values, the initial value is 2. Next, we would determine the common ratio (b) as follows;

Common ratio, b = a₂/a₁

Common ratio, b = 6/2 = 3.

Therefore, the required exponential function is given by;

\(f(x) = 2(3)^x\)

Part 2.

For Carter's social media post, we have the following exponential function:

\(f(x) = a(b)^x\\\\f(x) = 10(2)^x\)

Part 3.

In this scenario and exercise, we would use an online graphing calculator to plot the above exponential functions as shown in the graph attached below.

Read more on exponential equation here: brainly.com/question/28939171

#SPJ1

Answer:

nice

Step-by-step explanation:

Answer:

\(y=3x-7\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the points given are \((x_1,y_1)\) and \((x_2,y_2)\)

Points (3,2) and (6,11)

\(=\frac{11-2}{6-3}\\=\frac{9}{3}\\= 3\)

Therefore, the slope of the line is 3. Plug this into \(y=mx+b\):

\(y=3x+b\)

2) Determine the y-intercept (b)

\(y=3x+b\)

Plug in one of the given points and solve for b

\(2=3(3)+b\\2=9+b\)

Subtract 9 from both sides

\(2-9=9+b-9\\-7=b\)

Therefore, the y-intercept of the line is -7. Plug this back into \(y=3x+b\):

\(y=3x-7\)

I hope this helps!

a. To find the proportion of people in the large city who own either a cell phone or a pager, we can use the principle of inclusion-exclusion. The formula is:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.72 + 0.38 - 0.29 = 0.81

Therefore, approximately 81% of people in the large city own either a cell phone or a pager.

b. To find the probability that a randomly selected person from this city owns a pager, given that the person owns a cell phone, we can use the formula:

P(B|A) = P(A and B) / P(A)

Therefore, the probability that a randomly selected person who owns a cell phone also owns a pager is approximately 0.403 or 40.3%.

c. To determine if the events "owns a pager" and "owns a cell phone" are independent, we compare the joint probability of owning both devices (P(A and B)) with the product of their individual probabilities (P(A) * P(B)).

If P(A and B) = P(A) * P(B), then the events are independent. Otherwise, they are dependent.

Since P(A and B) ≠ P(A) * P(B), the events "owns a pager" and "owns a cell phone" are dependent.

learn more about:- joint probability here

https://brainly.com/question/30224798

#SPJ11

Answer:

432 m^2

Step-by-step explanation:

since a ratio is given, we can understand that this ratio was obtained by simplifying the values of the actual surface area of a and b.

so

16:9 = a:243

a = 243 x 16 divided by 9 = 27 x 16 = 432

hope this helps

Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

Learn more about mean at: https://brainly.com/question/30090607

#SPJ4

Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

Learn more about Regression at: brainly.com/question/31735997

#SPJ11

The total number of ways four selected fish out of 10 puts into different container is given by option a. 5040.

Total number of fish in a tank = 10

Total number of fish randomly selected = 4

Number of ways four selected fish puts into different types of container are,

Standard formula of permutation ,

ⁿPₓ = ( n! ) / ( n - x )!

¹⁰P₄

Substitute the value in the formula we have,

= ( 10! ) / ( 10 - 4 )!

= ( 10! ) / ( 6 )!

= ( 10 × 9 × 8 × 7 × 6! ) / 6!

= ( 10 × 9 × 8 × 7 )

= 5040

Therefore, the number of ways four fish puts into different container is equal to option a. 5040.

Learn more about ways here

brainly.com/question/11823283

#SPJ4

For distances less than 50 miles, Company B would be more cost-effective, while for distances greater than 50 miles, Company A would be the better choice.

To determine the number of miles at which the cost of renting a truck is the same at both companies, we need to find the point of equality between the total costs of Company A and Company B. Let's denote the number of miles driven by "m".

For Company A, the total cost can be expressed as C_A = 30 + 0.95m, where 30 is the rental fee and 0.95m represents the mileage charge.

For Company B, the total cost can be expressed as C_B = 45 + 0.65m, where 45 is the rental fee and 0.65m represents the mileage charge.

To find the point of equality, we set C_A equal to C_B and solve for "m":

30 + 0.95m = 45 + 0.65m

Subtracting 0.65m from both sides and rearranging the equation, we get:

0.3m = 15

Dividing both sides by 0.3, we find:

m = 50

Therefore, the cost of renting the truck is the same at both companies when Declan drives 50 miles.

For more such questions on distances

https://brainly.com/question/30395212

#SPJ8

Answer:

<TEN, <NET, <T

Step-by-step explanation:

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

To read more about quartile:

https://brainly.com/question/15642066

#SPJ4

The situation given in the question occurs due to the lower mortality rate which is seen in women of the age group 50-60.

Discrepancies between men and women's death rates and life expectancy. In general, women live longer than males. This means that, assuming everything else is equal, we should anticipate that women will make up somewhat more than half of the population.

Birth sex ratios are not equal. Males outnumber female births in every country. This means that, assuming everything else is equal, we should anticipate that men will make up somewhat more than half of the population.

The population's gender distribution can be impacted through migration. All other things being equal, we would anticipate that men would make up more than 50% of the population if some countries import a sizable amount of male-dominated labor.

To learn more about gender

brainly.com/question/12097093

#SPJ4

Answer:

97/8

Step-by-step explanation:

first we multiply 11 x 8 to get 88

then we add the numerator (number on top,9) so we add 88+9 to get 97

now we can write our answer

97/8

it cannot be simplified any more than this.

i hope this helped and if you have any questions just ask!

Expected real interest rate before change in money supply: 7% (11% nominal interest rate - 4% expected inflation)

Actual real interest rate before change in money supply: 7% (11% nominal interest rate - 4% actual inflation)

Expected real interest rate after increase in money supply: 5% (11% nominal interest rate - 6% expected inflation)

Actual real interest rate after increase in money supply: 5% (11% nominal interest rate - 6% actual inflation)

The unanticipated change in inflation arbitrarily benefits borrowers. When inflation increases unexpectedly, borrowers effectively pay back their loans with money that has less purchasing power than expected at the time of borrowing.

According to the Fisher effect, as expectations adjust to the new, higher inflation rate, the nominal interest rate will increase to compensate for the increase in expected inflation. This implies that the nominal interest rate on car loans will rise to offset the higher inflation rate and maintain the expected real interest rate.

For more questions like Money click the link below:

https://brainly.com/question/22984856

#SPJ11

Answer:

A it wold be pushing 40 newton to the left

B opposite

C subtract

D i don know that one

E unbalanced

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

when the line is solid its greater, smaller or equal to

when the line is dashed its greater or smaller

When the shade is above the y is greater

When the shade is coming from down its less than

Answer:

Each Children gets = 15 strawberry

leftover for Mr.Cheek = 5 strawberry

Step-by-step explanation:

Given;

Mr.cheeks collects 95 strawberries to feed his family.

He provides the same number of strawberries to each of his 6 hamster children.

To Find;

After giving out as many strawberries as possible, how many will mr. Cheeks have leftover for himself

Solve;

Since, Mr.cheeks total strawberries is 95 and he has 6 hamster children

we have to divide to see how much each children gets

95/6 = 15 with 5 remainder.

Hence, we can conclude that each children gets 15 and Mr.Cheeks have 5 leftover for himself

[RevyBreeze]

Answer:

Quadrant IV

Step-by-step explanation:

If x is greater than 0, then it will remain on the right side, on quadrants I and IV. If y is less than 0, then it will be on the bottom, so we are left with quadrant IV:

x is greater than 0, so all possible values are positive

y is less than 0, so all possible values are negative

(x,-y)

Following are the description of the wrong choice:

That's why the "Quadrant IV" is the correct answer.

Learn more:

Answer:

its the first one

Step-by-step explanation:

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Answer:

the first one

Step-by-step explanation:

By multiplying the number of choices for each category, we find that there are 36 different types of pizzas that can be made from the selections of 3 types of meat, 3 types of vegetables, and 4 types of cheese.

To determine the total number of different types of pizzas, we need to consider the choices available for each category: meat, vegetables, and cheese.

For the meat category, we have 3 options to choose from.

For the vegetable category, we also have 3 options available.

And for the cheese category, there are 4 options to select from.

To calculate the total number of different pizza combinations, we need to multiply the number of choices for each category: 3 (meat options) * 3 (vegetable options) * 4 (cheese options) = 36.

So, you can make a total of 36 different types of pizzas by selecting one option from each category.

the number of unique pizzas that can be created from the given choices of 3 types of meat, 3 types of vegetables, and 4 types of cheese is 36.

By multiplying the number of choices for each category, we find that there are 36 different types of pizzas that can be made from the selections of 3 types of meat, 3 types of vegetables, and 4 types of cheese.

To know more about multiplying follow the link:

https://brainly.com/question/10873737

#SPJ11

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

For more such questions on function

https://brainly.com/question/29631554

#SPJ8

Answer:

720

Step-by-step explanation:

first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)

The number of total selections that can be made is 1184040 i.e., option e is correct.

The number of different combinations of x objects from a set of n elements is given by the formula mentioned below:

\(C_{n,x}\) = \(\frac{n!}{x!(n-x)!}\)

This formula is used when the order in which the elements are chosen does not matter.

As per the question we know that seven tablets are chosen from a set of 28 tablets, hence the number of selections that can be made is given by:

\(C_{28,7}\) = \(\frac{28!}{7!(28-7)!}\)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 × 21! ) / ( 7! × 21!)

\(C_{28,7}\) = ( 28 × 27 ×26 × 25 × 24 × 23 × 22 ) / ( 7 × 6 × 5 × 4 × 3 × 2 × 1 )

\(C_{28,7}\) = 1184040

Thus, we can conclude that  total selections that can be made is 1184040.

To know more about Combination refer to the link:

https://brainly.com/question/11732255

#SPJ4

Answer:

The answer depends on how much each cake costs.

Step-by-step explanation:

For example, divide (price of one cake) by $675. Thats how many cakes she made.

Answer:

$3.50

Step-by-step explanation:

2.10÷6=0.35 0.35×10=3.5

Answer:

$3.50

Step-by-step explanation:

2.10/6=0.35

0.35x10=3.5

Answer: Im not sure

Step-by-step explanation:

you didnt list/provide the graphs for me to answer. :I

Answer:

10

Step-by-step explanation:

9+15=24

24/3=8

8*2=16

16-6=10