in a group of 54 people each likes music or dance if the ratio of people who like music only and dance only is 5:4 and the number who like both is 18 find the number of people who like dance by using a Venn diagram​

Answer:

\(\displaystyle\)\(\displaystyle f'(1)=-\frac{9}{e^3}\)

Step-by-step explanation:

Use Quotient Rule to find f'(x)

\(\displaystyle f(x)=\frac{3x^2+2}{e^{3x}}\\\\f'(x)=\frac{e^{3x}(6x)-(3x^2+2)(3e^{3x})}{(e^{3x})^2}\\\\f'(x)=\frac{6xe^{3x}-(9x^2+6)(e^{3x})}{e^{6x}}\\\\f'(x)=\frac{6x-(9x^2+6)}{e^{3x}}\\\\f'(x)=\frac{-9x^2+6x-6}{e^{3x}}\)

Find f'(1) using f'(x)

\(\displaystyle f'(1)=\frac{-9(1)^2+6(1)-6}{e^{3(1)}}\\\\f'(1)=\frac{-9+6-6}{e^3}\\\\f'(1)=\frac{-9}{e^3}\)

Answer:

\(f'(1)=-\dfrac{9}{e^{3}}\)

Step-by-step explanation:

Given rational function:

\(f(x)=\dfrac{3x^2+2}{e^{3x}}\)

To find the value of f'(1), we first need to differentiate the rational function to find f'(x). To do this, we can use the quotient rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Quotient Rule for Differentiation}\\\\If $f(x)=\dfrac{g(x)}{h(x)}$ then:\\\\\\$f'(x)=\dfrac{h(x) g'(x)-g(x)h'(x)}{(h(x))^2}$\\\end{minipage}}\)

\(\textsf{Let}\;g(x)=3x^2+2 \implies g'(x)=6x\)

\(\textsf{Let}\;h(x)=e^{3x} \implies h'(x)=3e^{3x}\)

Therefore:

\(f'(x)=\dfrac{e^{3x} \cdot 6x -(3x^2+2) \cdot 3e^{3x}}{\left(e^{3x}\right)^2}\)

\(f'(x)=\dfrac{6x -(3x^2+2) \cdot 3}{e^{3x}}\)

\(f'(x)=\dfrac{6x -9x^2-6}{e^{3x}}\)

To find f'(1), substitute x = 1 into f'(x):

\(f'(1)=\dfrac{6(1) -9(1)^2-6}{e^{3(1)}}\)

\(f'(1)=\dfrac{6 -9-6}{e^{3}}\)

\(f'(1)=-\dfrac{9}{e^{3}}\)

627 x 26 equals 16,302 when solved using the standard algorithm.

The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:

627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.

Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.

1254 -- a 6 x 7 partial product

1254 -- a half 6 x 2 product

Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.

1254 x 627

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Answer:

x = 3 + √(22/3) and x = 3 - √(22/3).

Step-by-step explanation:

Step 1: Divide both sides by the coefficient of x^2 to get the coefficient of x^2 equal to 1.

3x^2 - 18x + 5 = 0

x^2 - 6x + 5/3 = 0

Step 2: Move the constant term to the right-hand side of the equation.

x^2 - 6x = -5/3

Step 3: Take half of the coefficient of x, square it, and add it to both sides of the equation.

x^2 - 6x + 9 = -5/3 + 9

(x - 3)^2 = 22/3

Step 4: Solve for x by taking the square root of both sides of the equation.

x - 3 = ±√(22/3)

x = 3 ± √(22/3)

Solution

For this case we can do the following:

Then we can find the APY on this way:

Rounded would be:

3.77%

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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Answer:

Okay????

What is that is that even a question?

Thanks for the free points. Have a great day!

The value of the given expression, -50 + 5/13p, when p = -26 is -60

From the question, we are to evaluate the given expression for the given value of p

The given expression is

-50 + 5/13p

and

The given value of p is p = - 26

Substitute the given value of p into the given expression

That is,

-50 + 5/13p

When p = -26, the expression becomes

-50 + 5/13(-26)

Simplify

-50 + 5(-2)

-50 - 10

= - 60

Hence, the value of the expression is -60

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Answer:

depends on the options

Step-by-step explanation:

a parallel line would be y = 1/2x + b, where b is any number

\(i^{100}=i^{4\cdot25}=\left(i^4\right)^{25}\)

Recall that \(i^4=1\), since \(i^2=-1\). Then

\(i^{100}=1^{25}=1\)

so that in the form \(a+bi\), we have \(a=1\) and \(b=0\).

Answer:

D) 1

Step-by-step explanation:

Correct on edg

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

The volume of the given figure above would be = 4,095 yards³.

To calculate the volume of the given figure, it is first divided into two giving rise to a rectangular prism and a trapezoidal prism.

The volume of a rectangular prism= length×width×height

where;

length= 30yrds

width= 9 yards

height= 7 yards

volume= 30×9×7 = 1,890yards³

The volume of a trapezoidal prism= ½(a+b)×h×l

where;

a= 19yd

b= 30yd

h= 10yd

l= 9 yd

volume= ½(19+30)×10×9

= 49×5×9

= 2,205yards³

Therefore, the total volume of the figure would be ;

= 1,890+2,205

= 4,095 yards³

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Answer:

-7 - 8n

Step-by-step explanation:

Another way would be to rearrange the terms = -7 - 8n

The given statement in the question , if a sequence of uniformly bounded functions uniformly converges then its limit function must also be uniformly bounded is true.

It is true that a sequence of uniformly convergent bounded functions must converge to a bounded function. A uniformly convergent series of unbounded functions is difficult to describe.

On the real line, for example, f n (x) = x converges uniformly to f (x) = x.

In mathematics, a family of bounded functions is said to be uniformly bounded if all of its members can have their boundaries defined by the same constant.

This constant is greater than or equal to the absolute value of any of the family's functions.

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Mean (X + Y) = Mean (X) + Mean (Y).

The above statement is false.

Discrete Random Variable:

A discrete random variable can be defined as a type of variable whose value depends on the numerical outcome of some random phenomenon. Also called a random variable. Discrete random variables are always easily countable integers. A probability mass function is used to describe the probability distribution of a discrete random variable.

Probability Distributions of Discrete Random Variables:

Probability distributions of discrete random variables list the probabilities associated with each possible outcome. Also called probability function or probability mass function.

The probability of a discrete random variable is between 0 and 1. Also, the sum of the probabilities of a discrete random variable is equal to 1. The probability distribution of discrete random variables resembles the normal distribution.

Example:

Suppose two dice are rolled and a random variable X is used to represent the sum of the numbers. The minimum value of X goes from result 1 + 1 = 2 to 2 and the maximum value goes from result 6 + 6 = 12 to 12. Therefore, X can have any value between 2 and 12 (inclusive). If probabilities are assigned to each outcome, we can determine the probability distribution of X.

Discrete random variables should not be confused with algebraic variables. Algebraic variables represent the values ​​of unknown quantities in computable algebraic equations. However, a discrete random variable can have a range of possible values ​​that result from experimentation.

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The fraction of silver or brown canoes is 7/10.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Total canoes team = 10

5 teams have silver canoes team.

2 teams have brown canoes team.

Now,

The fraction of silver and brown canoes.

= (5 + 2) / 10

= 7/10

Thus,

7/10

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Answer:

8

Step-by-step explanation:

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:  x = -3/2

Step-by-step explanation:

Hello!

4 times the sum of x and y

4 * (x + y)

it's a mutliplication

the sum of 4x and y

= 4x + y

it's a sum

Answer:one is multiplying other is some.

Step-by-step explanation:

4xy and =4xy

these two are

(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6

Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.

Consider the equation,

6x + 2y = - 12

The equation of a line in slope intercept form is given as:

y = mx + b where m is the slope and b is the y-intercept.

Now,

6x + 2y = - 12

Subtracting 6x from each side of the equation,

6x + 2y - 6x = - 12 - 6x

2y = - 12 - 6x

Dividing each side of the equation by 2,

y = - 3x - 6

Comparing the equation with y = mx + b.

m = - 3 and b = - 6

Therefore, the equation in slope intercept form is y = - 3x - 6.

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Answer: 7x + 1

Step-by-step explanation:

(6x-4)+(x+5)

Step 1: Remove Parentheses:

              6x-4+x+5

Step 2: Combine Like Terms:

             7x +1

Answer:

3x-2y=10

2y=3x-10

Y=(3/2)x-5

Slope m=3/2

Answer:

See attachment.

Step-by-step explanation:

Slope-intercept form:

\(\boxed{y=mx+b}\)

where:

-----------------------------------------------------------------------------------

Given inequality:

\(3x-2y < 10\)

Rearrange the given inequality to make y the subject:

\(\implies 3x-2y+2y < 10+2y\)

\(\implies 3x < 10+2y\)

\(\implies 3x-10 < 10+2y-10\)

\(\implies 3x-10 < 2y\)

\(\implies 2y > 3x-10\)

\(\implies \dfrac{2y}{2} > \dfrac{3}{2}x-\dfrac{10}{2}\)

\(\implies y > \dfrac{3}{2}x-5\)

Compare this with the slope-intercept form.  

Therefore:

When graphing inequalities:

To graph the given inequality using its slope and y-intercept:

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Answer:

Come and go (follow the pattern)

y = 0.20(0)+25

y = 0.20(30)+25

y = 0.20(60)+25

Interstate

y = 0.25(0)+15

y = 0.25(30)+15

y = 0.25(60)+15

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

Fourth Option

Step-by-step explanation:

In order to find the answer to this question you need to change the mixed number into a improper fraction and then add by finding the least common denominator (LCD).

\(-\frac{3}{4} +2\frac{3}{4}\)

Convert into improper fraction:

\(2\frac{3}{4} =4\times2=8+3=11\)

\(-\frac{3}{4} +\frac{11}{4}\)

Since how the denominators are the same you can just add numerators:

\(-3+11=8\)

\(=\frac{8}{4}\)

Reduce:

\(8\div4=2\)

\(4\div4=1\)

\(=\frac{2}{1}\)

\(\frac{2}{1} =2\)

Hope this helps.

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

let's see what to do buddy...

Step-by-step explanation:

\( \frac{zinc}{copper} = \frac{3}{17} \\ \\ \frac{zinc}{799} = \frac{3}{17} \)

Multiply the sides of the equation by 799

\(zinc = \frac{3}{17} \times 799 \\ \\ zinc = \frac{3}{17} \times 17 \times 47 \\ \\ zinc = 3 \times 47 = 141 \)

So A jar of the chemical contains 141 grams of zinc.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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Answer:

-75

Step-by-step explanation:

Answer: The answer is -75.

Answer:

B

Step-by-step explanation:

I had the same question