What is the value of the function f(x) = 7x when x = 0.75?

Answers

Answer 1

Answer:

when x = 0.75, f(x) = 7 * 0.75 = 5.25

Step-by-step explanation:


Related Questions

The record high temperature in January was 18 degrees. The record low temperature was –7 degrees. What is the amount of change between the high and low temperatures

Answers

Answer: \(25^{\circ}\)

Step-by-step explanation:

Given

The highest temperature recorded is \(18^{\circ}\)

The lowest temperature recorded is \(-7^{\circ}\)

The amount of change between the high and the low temperatures is

\(\Rightarrow 18-(-7)=18+7\\\Rightarrow 25^{\circ}\)

A person places $6440 in an investment account earning an annual rate of 6.8%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 8 years.

Answers

Answer:

In 8 years, you will have $11,094.81

Step-by-step explanation:

A person places $6440 in an investment account earning an annual rate of 6.8%, compounded continuously.

Answer:

V=11095.3771≈11095.38

Step-by-step explanation:

HELP SOMEONE! HELP WILL BE APPRECIATED, THANKS!!

HELP SOMEONE! HELP WILL BE APPRECIATED, THANKS!!

Answers

Step-by-step explanation:

a

2/3 of 14 kg.

that means multiplying 2/3 × 14 = 28/3.

now we only need to do the division with remainder.

how often does 3 fit into 28 ? 9 times (9×3 = 27).

and then there is 1 left. and that means 1/3, since we are dividing by 3.

so, 2/3 of 14 kg = 9 1/3 kg

b

3/5 × 18

simply multiplication

54/5

and again division with remainder.

how often does 5 fit into 54 ? 10 times (10×5 = 50).

and there are 4 left. for a divisible by 5 that means 4/5.

so, 3/5 × 18 = 10 4/5

c

7/8 × 22

simply multiplication

154/8

again division with remainder.

how often does 8 fit into 154 ? 19 times (19×8 = 152).

and there are 2 left. so, 2/8 or 1/4.

so, 7/8 × 22 = 19 1/4

d

14 + 4/5

how many 1/5 are in 1 ? 5 !!! that defines the size of 1/5, because it is 1/5 of the whole, and the whole is 5/5 or 5×1/5.

so, if 1 has 5 times 1/5, how many 1/5 are in 14 ? well, 14×5 = 70

so, 14 = 70/5

and therefore,

14 + 4/5 = 70/5 + 4/5 = 74/5 = 14 4/5

surprise, surprise !

when we write something like 14 4/5, it has exactly the meaning 14 + 4/5.

but if the symbol was "÷" instead of "+" (it is really not to see in that picture) :

14 ÷ 4/5

remember, a division by a fraction is the same as the multiplication with the upside-down fraction :

14 × 5/4 = 70/4

how often does 4 fit into 70 ? 17 times (17×4 = 68).

and there are 2 left. that means 2/4 or 1/2.

14 ÷ 4/5 = 17 1/2

e

as for d.

if the operation is "+" then the result is for the same reasons 24 12/19.

if the operation is "÷" then we have

24 ÷ 12/19 = 24 × 19/12 = 2 × 19 = 38

Use the formula (n−2)×180◦ figure out the sum of the angle measures of the Trapezoid.

Answers

Answer: 360 degrees

Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.

Answer:

360!!!!!!!!!!!!!!!!!!!! ;)

Step-by-step explanation:

6- A two-dimensional strain field is given by: Ex =c(-4.5x2+10.5y?) &y=c(1.5x27.5y?) Yxy =1.5bxy where b and c are nonzero constants. a) What should the relationship between b and c be if this field is to satisfy the strain compatibility conditions? b) Determine the displacements u and v corresponding to this field of strain at point (3,7) if they are zero at point(0,0). Use as a value of 2.5 for c.

Answers

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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9m + 3m -m = what's the correct answer?

Answers

Answer:

11m

Step-by-step explanation:

Simplify

9m+3m−m

=9m+3m+−m

Combine Like Terms:

=9m+3m+−m

=(9m+3m+−m)

=11m

Answer:

=11m

Answer:

11m

Step-by-step explanation:

9m + 3m - m = ?

just look at it without the variables: m

9 + 3 - 1 = ?

The reason there is a 1 before the m is because there is always atleast a 1 before a variable. 1 x m = m, but 0 x m = 0. so '1'.

ok so now lets solve

9 + 3 - 1

 12 - 1

    11

so the answer is 11, add the variables back

9m + 3m - m

    12m - m

        11m

I needdddddd help! Please : )

I needdddddd help! Please : )

Answers

Answer:

Stop being so desperate.

Step-by-step explanation:

?
Triangle 1 is rotated to result in triangle 2.
Triangle 1 is dilated to result in triangle 3.
Triangle 1 is reflected to result in triangle 4.
Triangle 1 is stretched to result in triangle 5.
Next Activity

Answers

In the next activity, we will explore the rotation, dilation, reflection, and stretching transformations applied to Triangle 1 to obtain Triangles 2, 3, 4, and 5.

Triangle 1 is rotated to result in triangle 2;

Triangle 1 is dilated to result in triangle 3;

Triangle 1 is reflected to result in triangle 4;

Triangle 1 is stretched to result in triangle 5.

Triangles are 2D shapes that can undergo several transformations to change their orientation or size.

In the given question, Triangle 1 has undergone four different transformations to obtain triangles 2, 3, 4, and 5.

Below are the explanations for each of the transformations:

Rotation:

Triangle 1 has been rotated to result in triangle 2.

Rotation is a transformation in which a shape is turned around a point.

In this case, Triangle 1 has been rotated 90 degrees clockwise around a point to get triangle 2.

Dilation:

Triangle 1 has been dilated to result in triangle 3.

Dilation is a transformation in which a shape is enlarged or shrunk uniformly.

In this case, Triangle 1 has been enlarged uniformly to get triangle 3.

Reflection:

Triangle 1 has been reflected to result in triangle 4.

Reflection is a transformation in which a shape is flipped over a line.

In this case, Triangle 1 has been reflected across the y-axis to get triangle 4.

Stretching:

Triangle 1 has been stretched to result in triangle 5.

Stretching is a transformation in which a shape is expanded or contracted non-uniformly.

In this case, Triangle 1 has been expanded in the y-direction and contracted in the x-direction to get triangle 5.

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How do I divide decimals?​

Answers

Answer: move the point or decimal

Step-by-step explanation: you just remove the decimal that means the point the devide and put it back

the california state university (csu) system consists of 23 campuses, from san diego state in the south to humboldt state near the oregon border. a csu administrator wishes to make an inference about the average distance between the hometowns of students and their campuses. describe and discuss several different sampling methods that might be employed. would this be an enumerative or an analytic study? explain your reasoning

Answers

There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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Please help. Will mark brainliest if right!
Mrs. Jones was very proud of her apple tree. One autumn, after harvesting her apples, she called her three sons together. “Here are 150 apples,” she said. “I want you to take them to the market tomorrow and sell them for me.” She gave Paul 15 apples, Nick 50, and Ben 85. “Your job,” added Mrs. Jones, “is to sell the apples in such a way that each of you brings home the same amount of money.” How do they do it?

Answers

Step-by-step explanation:

they sell the same amount?

What is the measure of each angle of the hexagon?
60°
90°
120°
O 144°

What is the measure of each angle of the hexagon?6090120O 144

Answers

120 degrees & can I get the most brainlist?

By using only those factors given in interest tables, find the values of the factors that follow, which are not given in your tables. Show the relationship between the factors by using factor notation, and calculate the value of the factor. For example, (F/P,8%,38)=(F/P,8%,30)(F/P,8%,8)=18.6253. Click the icon to view the interest factors for discrete compounding when i=8% per year. (c) Find the value of the (P/A,8%,145) factor. Select the correct choice below and fill in the answer box to complete your choice. A. (P/A,8%,145)= 0.08
1−(P/F,8%,45)

= (Round to four decimal places. ) B. (P/A,8%,145)= 0.08
1−(P/F,8%,100)(P/F,8%,45)

= (Round to four decimal places.) C. (P/A,8%,145)=(P/A,8%,100)(P/A,8%,45)= (Round to four decimal places. ) D. (P/A,8%,145)= 1−(P/F,8%,100)(P/F,8%,45)
0.08

= (Round to four decimal places.) At what rate of interest compounded annually will an investment double in nine years? The investment will double in nine years at \% compounded annually. (Round to two decimal places.)

Answers

The investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

To find the value of the (P/A,8%,145) factor, we can use the general formula for the present worth of an annuity:

(P/A, i%, n) = (1 - (1 + i)^(-n)) / i

Substituting the values given:

i = 8%

n = 145

(P/A,8%,145) = (1 - (1 + 0.08)^(-145)) / 0.08

Using a financial calculator or spreadsheet software, we can calculate the value of (P/A,8%,145) as follows:

(P/A,8%,145) ≈ 43.7276 (rounded to four decimal places)

Therefore, the correct choice for the value of (P/A,8%,145) is:

C. (P/A,8%,145) = (P/A,8%,100)(P/A,8%,45) ≈ 43.7276 (rounded to four decimal places)

Regarding the second question, to find the interest rate at which an investment will double in nine years, we can use the future worth factor formula:

(F/P, i%, n) = (1 + i)^n

We want the investment to double, so we have:

(1 + i)^9 = 2

Taking the ninth root of both sides:

1 + i = 2^(1/9)

Solving for i:

i ≈ 0.0809 or 8.09% (rounded to two decimal places)

Therefore, the investment will double in nine years at an interest rate of approximately 8.09% compounded annually.

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10. How much interest will be earned in 4 years
from $2,450 placed in a savings account at 62 %
simple interest?

Answers

Answer:

$6100.80

Step-by-step explanation:

$6100.90 i think sorry if wrong

The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). Calculate the critical value the manager should use to conduct the hypothesis test of interest. The null hypothesis is that mean daily output is no greater than 200, and the alternative hypothesis that it is greater than 200. Continue to assume that daily output levels are approximately normally distributed, with standard deviation 18 units. A random sample of 81 days of output will be collected to conduct the test.

Continued. Using the critical value you calculated in the previous question, what is the probability of Type II error if the population mean is 205?

Continued. If the sample mean turns out to be 205, what is the conclusion of the test?

Answers

The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). To calculate the critical value, we need to find the Z-score associated with a 1% significance level.
To find the critical value, we can use a Z-table or a Z-score calculator. Since the significance level is 1% (0.01), we need to find the Z-score corresponding to the area of 0.99 (1 - 0.01) in the upper tail of the standard normal distribution.
By looking up the Z-table or using a Z-score calculator, we find that the Z-score corresponding to a 0.99 cumulative probability is approximately 2.33. The critical value the manager should use to conduct the hypothesis test is 2.33.

To calculate the probability of Type II error, we need to specify an alternative hypothesis and determine the corresponding population mean value. In this case, the alternative hypothesis is that the mean daily output is greater than 200, and the specified population mean value is 205.

To calculate the probability of Type II error, we need to find the area under the null hypothesis distribution that falls to the right of the critical value. In other words, we need to find the probability that the test statistic, assuming the null hypothesis is true, falls in the rejection region. Since we are assuming the population mean is 205, we can calculate the Z-score using the formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the values, we get:
Z = (205 - 200) / (18 / sqrt(81)) = 5 / (18 / 9) = 5 / 2 = 2.5

Now, we can calculate the probability of Type II error by finding the area under the null hypothesis distribution to the right of the critical value, which is 2.33. Using the Z-table or a Z-score calculator, we find that the probability of Type II error is approximately 0.0062, or 0.62%.
If the sample mean turns out to be 205, we compare it to the critical value. If the sample mean is greater than the critical value (2.33), we reject the null hypothesis. In this case, since the sample mean is 205, which is greater than the critical value of 2.33, we would reject the null hypothesis. The conclusion of the test would be that there is sufficient evidence to suggest that the mean daily output is greater than 200.

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PLEASE HELP ME THIS IS URGENT

PLEASE HELP ME THIS IS URGENT

Answers

Using the concept of asymptote of the function it can be concluded that the number of boxes of cereals sold is 0 after 0 weeks, it will keep falling after reaching the maximum sales and cereals sold is always positive as the cereals introduced so the correct option are A, C and E.

What is the asymptote of the function?

A line that a curve approaches but never touches is an asymptote. The graph of a function converges to a line known as an asymptote, in other words. When graphing functions, asymptotes are usually not necessary to be drawn. The curve must not contact the asymptote when we graph them using dotted lines (imaginary lines). As a result, the asymptotes are merely made-up lines. When either the value of x or y tends to or -, the distance between the asymptote of a function, y = f(x), and its graph is close to zero.

Option A is correct as according to the option A: - B(w)= \(\frac{120w}{150+w^{2} }\), w=0.

On putting the value of w=0 in above function implies B(w)=0.

Hence, number of boxes of cereals sold is 0 after 0 weeks.

Option C is correct as function B(w) is decreasing function after reaching its maxima according to graph.

Option E is correct as B(w)= \(\frac{120w}{150+w^{2} }\), if w>0

implies that B(w)>0 as numerator>0 and denominator>0.

Based on the asymptote of function the number of boxes of cereals never reach 0 after cereals introduced in the store.

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if the sum of zeros of polynomial p(x)=(a+1)x^2 + (2a+3)x + (3a+4) is -1. then find the product of its zeros

Answers

The product of the zeros in the given polynomial is 5.

Given is a polynomial p(x) = (a+1)x² + (2a+3)x + (3a+4), the sum of zeros is -1,

We need to find the product of its zeros,

So,

We know that in the polynomial ax²+bx+c = 0,

the sum of the roots = -b/a

Product of the roots = c/a

Therefore,

Here a = a+1, b = 2a+3 and c = 3a+4

So,

-(2a+3)/a+1 = -1

-2a-3 = -a-1

-a = 2

a = 2

Put a = 2 in value of c,

c = 3(2)+4 = 10

So, the product of the zeros is = 10/2 = 5

Hence the product of the zeros in the given polynomial is 5.

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What is the slope of the line that passes through the points
(9,−1) and (4,−11)?
Write your answer in simplest form.

Answers

Answer:2

Step-by-step explanation:

\(\frac{-11-(-1)}{4-9}\)You use the slope equation so -11 -(-1) would be -11+1 because the negatives cancel each other out and you get -10. Then 4-9 is -5 and then -10 divided by -5 is a positive 2.

Answer:

\(\displaystyle m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: \(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

Step-by-step explanation:

Step 1: Define

Point (9, -1)

Point (4, -11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                             \(\displaystyle m=\frac{-11+1}{4-9}\)[Fraction] Add/Subtract:                                                                                 \(\displaystyle m=\frac{-10}{-5}\)[Fraction] Divide:                                                                                            \(\displaystyle m=2\)

Which expressions are equivalent to 7×7×7×7×7×7 choose two answers:

Which expressions are equivalent to 777777 choose two answers:

Answers

Answer:

7^6 =A, C

Step-by-step explanation:

The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³  thus option (A) and (C) is correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

7×7×7×7×7×7 = 7⁶

Now, in option (A),

7⁸/7² = 7⁸ ⁻ ² = 7⁶

In option (C)

(7²)³ = 7² ˣ ³ = 7⁶

Hence "The expression equivalent to the 7×7×7×7×7×7 will be 7⁸/7² and (7²)³".  

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whats 18m + 42n
i need answer

Answers

Answer:

60n

Step-by-step explanation:

Pretty easy, just add up the numbers as if they're regular numbers and then add n to it after.

18+42=60

Now add n

60n

Answer:

The answer is 60n

Step-by-step explanation:

whats 18m + 42ni need answer

answer the equation please <33

answer the equation please &lt;33

Answers

Answer: Total cost = 4m

Step-by-step explanation:

Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m

Answer:

dₙ = (m-1)*4

Step-by-step explanation:

d1: initial dollar   d1=0

dₙ = (m-1)*4

d₁ = (1-1)*4 = 0

d₂ = (2-1)*4 = 4

d₃ = (3-1)*4 = 8

in july 2008, the u.s. population was approximately 302,000,000. approximately how many americans were there in july 2009 if the estimated 2008 growth rate was 0.88%?

Answers

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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The probability of event E2
​occurring, given that event E1
has happened is called​ a(n) _______ probability.

Answers

The probability of event E2 occurring, given that event E1 has happened is called a conditional probability. This type of probability is denoted by P(E2 | E1), which reads as "the probability of E2 given E1."


Conditional probability
helps to calculate the probability of an event that depends on the occurrence of another event. For example, consider the following scenario: A company has two factories, and each factory produces a different type of product. The probability of a defective product from factory 1 is 0.05, and the probability of a defective product from factory 2 is 0.03.

Suppose a customer buys a product, and it is known that the product came from factory 1. What is the probability that the product is defective? To solve this problem, we use conditional probability. Let E1 be the event that the product came from factory 1, and E2 be the event that the product is defective.

Then, we want to find P(E2 | E1), which is the probability of the product being defective given that it came from factory 1. Using the formula for conditional probability, we get:
P(E2 | E1) = P(E1 and E2) / P(E1)
= (0.05 x 1) / 0.5
= 0.1
Therefore, the probability of the product being defective given that it came from factory 1 is 0.1 or 10%.

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f(x) = 2x2 – 7x – 6. Find f(6)

Answers

Answer:

hello, your name similarty to my name

Step-by-step explanation:

put 6 from x and to find function

f(6)= 72-42-6=24

Answer: -32
4 -7(6) -6
4 -42 = -38
-38 -6 = -32

please mark brainiest if correct

1) Is F increasing on the interval (-8.-2)?2) Is F increasing on the interval (2.10)? 3)List the interval(s) on which F is increasing. Justify your answer 4)List the interval(s) on which F is decreasing. Justify your answer 5)List the value(s) of X at which has a local maximum. Justify your answer.6) List the value(s) of X which has a local minimum. Justify your answer 7) Find the x-intercepts. 8) Find the y-intercepts.

1) Is F increasing on the interval (-8.-2)?2) Is F increasing on the interval (2.10)? 3)List the interval(s)

Answers

Given data:

The given point is(-8,-2)

The tangent at (-8,-2) has the oppositive slope or makes an acute anglle with the positive directionn of x-axis so the given function is increasing at (-8,-2).

Thus, teh curve has posiive slope at (-8,-2) so the given function is increasing.


The cost y (in dollars) to provide food for guests at a dinner party is proportional to the number x of guests attending the
party. It costs $40 to provide food for 4 guests. How much will it cost to provide food for 10 guests

Answers

Answer:

100

Step-by-step explanation:

because it is directly proportional so 4 times ten is 40 and 10 times 10 is 100

pls mark brainliest it would really help me out

what kind of sequence
1/3, 2/9, 3/64, 4,81

Answers

The explicit formula for a geometric sequence is of the form a n = a 1 r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a 1 = c, a n+1 = ra n, where c is a constant and r is the common ratio.

What variables are included in demographics? Which demographic shifts, if any, do you feel will have a noticeable impact on which market in the next 10 years? Justify your answer.
Discuss any of the subcultures of your interest and the unique marketing aspects you have found for that specific subculture by providing an example

Answers

Demographics variables include the characteristics of a population, similar as age, gender, race, education, income, occupation, and geographic position.

 Demographic shifts can have a conspicuous impact on the request in the coming 10 times. One of the significant demographic shifts is the growing population.

The growing population will have a conspicuous impact on the healthcare request as they need further medical care as they progress.

The growing population also has an impact on the casing request as they're looking to reduce or move to withdrawal communities. Another demographic shift that will have a conspicuous impact on the request is the increase in diversity in the population.

The increase in diversity will impact the food and libation request as different societies have different salutary requirements and preferences. It'll also impact the marketing fashion request as different societies have different fashion styles and preferences.

An illustration of a folklore is the LGBTQ community. The unique marketing aspect of this folklore is the need for addition and acceptance. Companies can reach out to this folklore by featuring LGBTQ individualities in their announcements. An illustration of this is the recent Coca- Cola announcement featuring a same- coitus couple.

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need help with geometry!! thank you!!​

need help with geometry!! thank you!!

Answers

Answer:

1. is 38.85km. 2. is 155.4km

Step-by-step explanation:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator
are both increased by 2, the fraction is now equal to 2/3
If n = the numerator and d = the denominator, which of the following systems of equations could be used
to solve the problem?

3n = 5d and 3n + 6 = 2d + 4

5n = 3d and 3n + 6 = 2d + 4

5n = 3d and 4n + 4 = 3d + 6

Answers

Answer: 5n = 3d and 3n + 6 = 2d + 4

Given that the numerator and denominator of a fraction are in the ratio of 3 to 5. When the numerator and denominator are both increased by 2, the fraction is equal to \dfrac{2}{3}.  

We are to select the system of equations that could be used to solve the problem.  

Since n denotes the numerator and m denotes the denominator of the given fraction, so we have:

n/d = 3/5

5n = 3d

and

(n+2)/(d+2) = 2/3

3(n+2) = 2(d+2)

3n + 6 = 2d + 4

Thus, the required system of equations is,

5n = 3d and 3n + 6 = 2d + 4

Brainliest pweaseee if the answer is clear and correct! <3 ~~~

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