Please solve this quickly. Thanks!

The percent equation is = 2600/ 4000 × 100/1

The percentage of books that are fiction is 65%

Percentage can be described as the ratio, quotient or number that is being expressed as a fraction of 100.

It is also described as the given part or amount in every hundred.

It is expressed as a fraction with 100 as the denominator of the fraction

It is represented with the symbol "%".

Given the information ;

Total number = 4000 books

Fiction books = 2600

The percentage is represented as;

= 2600/ 4000 × 100/1

Find the ratio

= 0. 65 × 100/1

Multiply through

= 65%

Hence,  the value is 65%

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Given

Find

derivatives using increment method.

Explanation

Given

replace x and y by

so ,

now divide by

so ,

now taking limit

Final Answer

Therefore , the derivative of the function using increment method is 12x + 10

Answer:

3.456e+12
or

3,456,000,000,000

Step-by-step explanation:

400 x 600 = 240,000

240,000 x 800 = 192,000,000

192,000,000 x 150 = 28,800,000,000

28,800,000,000 x 120 = 3,456,000,000,000

hope this helps you :D

Answer:

slope = -1/9

Step-by-step explanation:

Hope this helps!!!

Answer: the radius of a cylinder is 4 cm

Step-by-step explanation:

[tex]S_{ts}=352\ cm\ \ \ \ H=10\ cm\ \ \ \ \ r=?[/tex]

The total surface area:

[tex]\displaystyle\\ S_{ts}= 2\pi r^2+2\pi rH\\\\S_{ts}=2\pi (r^2+rH)\\\\352=2\pi (r^2+10r)\\\\[/tex]

Divide both parts of the equation by 2π:

[tex]\displaystyle\\56=r^2+10r\\\\56-56=r^2+10r-56\\\\0=r^2+10r-56\\\\Thus,\\\\ r^2+10r-56=0\\\\D=(-10)^2-4(1)(-56)\\\\D=100+224\\\\D=324\\\\\sqrt{D}=\sqrt{324} \\\\\sqrt{D}=18\\\\ r=\frac{-10б18}{2(1)} \\\\r=-14\notin\ (r > 0)\\\\r=4\ cm[/tex]

Answer:

r ≈ 4 cm

Step-by-step explanation:

Total Surface Area of a cylinder

A = Base Area x 2 + Lateral Surface Area

A = 2(πr²) + 2πrh

where r = radius of base and h = height of cylinder

Solving for r we get

[tex]\displaystyle r = \dfrac{1}{2} \sqrt{h^2 + 2 \dfrac{A}{\pi} }-\dfrac{h}{2}\\\\[/tex]

Given h = 10 cm and A = 325 we get

[tex]\displaystyle r = \dfrac{1}{2} \sqrt{10^2 + 2 \dfrac{352}{\pi} }-\dfrac{10}{2}\\\\\\[/tex]

[tex]\sqrt{10^2 + 2 \dfrac{352}{\pi} } =\sqrt{100+\dfrac{704}{\pi }}\\\\= \sqrt{100 + 224.09}\\\\\\[/tex]

= [tex]\sqrt{324.09}[/tex]

= 18.0025

1/2 x 18.0025 ≈ 9

So r ≈  9 - 10/2 = 9 -5 = 4

r ≈ 4 cm

Answer:

1/5

Step-by-step explanation:

I multiplied 2 * 7, which is 14. Then, I multiplied 7 * 10 which equals 70. Then, I divided 14/70 by 14. The answer is 1/5.

from the question, we were told in 1995, Charter charged a flat rate of

$39.95 for the first twenty hours.

and an additional per hour charge of $5.99

if,

for 20 hours = 39.95

therefore for 1 hour = 39.95/20

so for 18 hours = 39.95/20 X 18.95/20

so for 18 hours = 9

so,

to get the amount Charter bill for 18 hours in 1995 is,

39.95 x 18/20

= 39.95 x 0.9

= $35.955

so Charter bill for 18 hours of internet used in 1995 is $35.955

ould bill for 28 hours is

so, what Charter would

Answer:

I've included a visual representation

Step-by-step explanation:

i did the assigment yesterday

The length of CE is 7cm

To determine the length, we need to consider the properties of a rectangle, we have;

From the information given, we have that;

AB = 7cm

AD = 17cm

Then, line CE = line AB

But line AB = 7cm

CE = 7cm

Hence, the length is 7cm

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Answer:

(g o f)(8)

Step-by-step explanation:

First we find f(8).

f(8) = 8 - 1 or 7.

We now find g(f(8)), which means g(7).

g(7) = 7^3 or 343

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Susie has a part-time job at the video store and she makes between $41.89 and $47.91 a day.

Now,

The amount of money for a day = ($41.89 + $47.91) / 2

The amount of money for a day = $89.8 / 2

The amount of money for a day = $44.9

Thus, The amount of money that Susie makes for 7 working days is;

= 7  x $44.9

= $314.3

Hence,

The amount of money that Susie makes for 7 working days will be;

⇒ $314.3

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Mei Mei's age if the sum of Mei Mei's age and 5 times Xin's age is 143. is 23 years.

Let the ages be x and x+1 since they're consecutive numbers.

In this case the sum of Mei Mei's age and 5 times Xin's age is 143. This will be:

x + 5(x + 1) = 143

x + 5x + 5 = 143

Collect like terms

6x + 5 = 143

6x = 143 - 5

6x = 138

Divide

x = 138 / 6

x= 23

Mei Mei is 23 years.

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The value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

As given in the question,

Given functions are :

h(x) =√ x+3  and k(x) = 2x +7

To find the value of the composite function h(k(3)) :

First calculate for k(3) we get,

k(x) = 2x+ 7

Substitute x =3 in k(x) we get,

k(3) = 2(3) +7

⇒ k(3) = 13

Now, Substitute the value of k(3) in the composite function h(k(3)) we get,

h(k(3))

= h(13)

= √ 13 +3

=√16

= 4

Therefore, the value of the given function h(k(3)) when h(x) =√ x+3  and k(x) = 2x +7 is equal to 4.

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Answer:

SAS

Step-by-step explanation:

Answer: Slope= -2.000

  x-intercept= -2

  y-intercept= -4.000

  Hope this helps !

Answer:

16%.

Explanation:

In a recent math test:

• The average score = 75

• Standard Deviation = 10

To find: The percentage of people who scored an 85 or higher, P(X>85).

First, find the z-score when X=85.

Substitute the given values:

The people who scored an 85 or higher are 1 standard deviation away from the mean.

The percentage of people who scored an 85 or higher is 16%.

The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.

The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.

a) Chance of receiving 5:

P(6) + Q(6) = 5

Q(6) = 5 - P(6)

Q(6) = 5 - 0.4

Q(6) = 4.6

The probability of obtaining 5 to 5 is 4.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 4.6

The first five numbers have an equally likely probability.

P(1) = 4.6 ÷ 5

P(1) = 0.92

b) Probability of getting 3:

P(6) + Q(6) = 3

Q(6) = 3 - P(6)

Q(6) = 3 - 0.4

Q(6) = 2.6

The probability of obtaining 3 to 5 is 2.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 2.6

The first five numbers have an equally likely probability.

P(1) = 2.6 ÷ 5

P(1) = 0.52

c) Probability of getting 2:

P(6) + Q(6) = 2

Q(6) = 2 - P(6)

Q(6) = 2 - 0.4

Q(6) = 1.6

The probability of obtaining 2 to 5 is 1.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 1.6

The first five numbers have an equally likely probability.

P(1) = 1.6 ÷ 5

P(1) = 0.32

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Answer: it

Step-by-step explanation:

!!!

Given:

Amount Marty spent per day = $3

Number of days = 14

Remaining amount = $68

Since the amount left depends on the number

Given:

Total number of hamburgers and cheeseburgers sold = 439

There were 61 fewer cheeseburgers than hamburgers sold.

Let's determine the number of hamburgers sold.

Let C represent the number of cheeseburgers

Let H represent the number of hamburgers sold.

We have the system of equations:

• H + C = 439

• C = H - 61

Now, let's solve the equations simultaneously using the substitution method.

Substitute (H - 61) for C in the first equation.

We have:

H + (H - 61) = 439

H + H - 61 = 439

2H - 61 = 439

Add 61 to both sides:

2H - 61 + 61 = 439 + 61

2H = 500

Divide both sides by 2:

Therefore, they sold 250 hamburgers on Friday.

ANSWER:

250 hamburgers

The two inequalities are (option c) y > x - 2 and2y + x < 4

Given,

Let's start by locating the red-hued area.

If the shadow is visible to be over the line, then the situation will be as follows:

y > ax + b

Hence the equation for the line is ax + b.

The slope is a, and the y-intercept is b.

The line in the graph intersects the y-axis at y = -2, which results in:

b = -2

Two points on the line are required to determine the slope; these points are (0, -2), and (2, 0)

We are aware of the slope for a line passing through the points (x1, y1) and (x2, y2) as follows:

a = (y2 - y1)/(x2 - x1) (x2 - x1)

The slope for this line will then be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then this line's equation is:

1x - 2

And here's the inequality:

y > x - 2.

The shaded area of the blue one is below the line, thus we will have:

y < ax + b

The y-intercept in this situation is y = 2.

This line crosses through the points (0, 2) and, as can be seen (4, 0)

The slope is then:

a = (0 - 2)/(4 - 0) (4 - 0) = -2/4 = -1/2

This inequality is then:

y < (-1/2)x + 2

If we rewrite this using the choices, we get the following:

y < (-1/2)x + 2

2y < -x + 2 ×2

2y + x < 4

The two inequalities are (option c) y > x - 2 and2y + x < 4

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Answer: C

Step-by-step explanation:

The solutions are x = -1,  y = 1 and z = 5  

In Mathematics, the equation which has highest degree 1 is known as a Linear equation. Linear equations are used to calculate unknown values. Here to represent unknown values we will use variables like x, y, z  or a, b, c .. etc.  

According to the number of variables in given equations, the given equations will be called a Linear equation in one variable or Linear equation in two variables and so on. To solve linear equations we will use Elimination method

Here, we have three linear equations with 3 and 2 variables

4x - 2y + 3z = 9 ----(1)

x - 2y = -3 -----(2)

2x + 3y = 1​ -----(3)

Here, to find x, y and z we will use Elimination method

First of all solve (2) and (3) as given below

2 × (2) ⇒  2x - 4y = - 6 -----(4)

1 × (3) ⇒  2x + 3y = 1​  

Now subtract (3) from (4)

(4) - (3) ⇒ 2x - 4y -2x - 3y  = - 6 - 1

⇒ - 7y = -7

⇒   y = 1

Substitute y = 1 in (2)

(2) ⇒ x - 2(1) = -3

x - 2 = -3

x = -1    

Now substitute x = -1 and y = 1 in (1)

(1) ⇒ 4(-1) - 2(1) + 3z = 9  

- 6 + 3z = 9

3z = 15

z = 5

From above calculations

The values of x = -1,  y = 1 and  z = 5

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All the x-values that bring a polynomial, p(x), to zero are referred to as its zeros. They are intriguing to us for a variety of reasons, one of which is that they provide information on the graph's x-intercepts for the polynomial.

We will also observe that they have a direct connection to the polynomial's factors.

What are polynomial zeros with an example?

Real number k is referred to as the zero of a polynomial P(x) if P(k) = 0. As a result, the polynomial x2 - 3x + 2 has a zero at 1 and a zero at 2.

The equation p(x)=(x-1) (x-3)

Although it is a polynomial of third degree, 2, only has two different zeros. This is due to the zero x=3 having a connection to the factor.

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Plotted Answers:

12.) See attached for my work

13.) See attached for my work

14.) See attached for my work

Simplified Answers:

12.) y > –24

13.) x ≥ –12

14.) x > –7

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Answer:

912

Step-by-step explanation:

the assumption is that this is an arithmetic progression

the nth term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

use this to find which term 120 is in the sequence

with a₁ = 32 and d = a₂ - a₁ = 40 - 32 = 8 , then

32 + 8(n - 1) = 120 ( subtract 32 from both sides )

8(n - 1) = 88 ( divide both sides by 8 )

n - 1 = 11 ( add 1 to both sides )

n = 12

given the first and last terms in the sequence then sum is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( first + last)

S₁₂ = [tex]\frac{12}{2}[/tex] (32 + 120) = 6 × 152 = 912

1) Since this investment has been in an account with 12% compound interest per year, then we can write out the following:

a) Note that there was no withdrawal during this first year.

b) To find out the amount of money over a course of this time 2 years, then we can write out the following:

In this case, it is also compounded per year. Just the period (t) is greater than the other one.

So, we can tell the following about the earnings of this investment:

8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.

Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as

z = (x - µ) ÷ σ

Where

x = shelf life of a battery in years.

µ = mean shell life

σ = standard deviation

Based on the facts provided,

µ = 8 years

σ = 0.3 years

The z score corresponds to a p-value of 16% in the normal distribution table,

(16 ÷ 100 = 0.16) is - 0.9.

Therefore,

- 0.9 = (x - 9) ÷ 0.3

0.3 × (- 0.9) = x - 8

0.27 = x - 8

x = 0.27 + 8

x = 8.27

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If I'm not mistaken, the answer is 43.17

The slope of the line that is perpendicular 6y=−7x+4 is: 6/7.

If one line has a slope of a/b, the slope of the line that is perpendicular to the line would be the negative reciprocal of a/b, which is -b/a.

If the slopes of perpendicular lines are multiplied together, for example (a/b)(-b/a), we would always have a result of -1.

Rewrite the equation 6y = −7x + 4 in slope-intercept form as y = mx + b, in other to determine the value of m = slope.

6y/6 = −7x/6 + 4/6

y = −7/6x + 2/3

The slope of 6y = −7x + 4 is -7/6. 6/7 is the negative reciprocal of -7/6. Therefore, the slope of the perpendicular line is: 6/7.

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