There were 120 students at the creative shop writing workshop last year. This year there are 138 students. What is the percent of increase in the number pf students at the workshop?

Answer:

The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"

Step-by-step explanation:

Given:

[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]

Solve:

[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]

differentiate the above equation:

[tex]\to g'(x) = 4x^3- 1[/tex]

Given that:

[tex]\to g'(x)= \frac{1}{2}[/tex]

[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]

Answer:

43

Step-by-step explanation:

x + 18 = 61 (we're given the total length and one part, so it can be rewritten like this!)

x = 43

hope this helps!

He got 21 miles per gallon, which mean he would be able to go 1,050 miles with 50 gallons of gas.

Answer:

(a) 21 miles per gallon. (b) 1050 miles.

Step-by-step explanation:

357 / 17 = 21 miles per gallon.

21 * 50 = 1050 miles.

Answer:

AB = 3 and AC = 4

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{WX}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values

[tex]\frac{AB}{30}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )

30AB = 90 ( divide both sides by 30 )

AB = 3

and

[tex]\frac{AC}{XY}[/tex] = [tex]\frac{BC}{WY}[/tex] , substitute values

[tex]\frac{AC}{40}[/tex] = [tex]\frac{3}{30}[/tex] ( cross- multiply )

30AC = 120 ( divide both sides by 30 )

AC = 4

Answer:

Step-by-step explanation:

Given

ΔWXY ~ ΔBAC

Therefore, the triangles are similar, so corresponding sides would be in the same ratio, so

WY/ BC = XW/AB

substitute WY = 30, BC = 3, XW = 30, AB = x

30 / 3 = 30 / x

x = [30 × 3] / [30]

x = 90 / 30

x = 3

Thus,

AB = 3

now

WY/ BC = XY/AC

substitute WY = 30, BC = 3, XY = 40, AC = y

30 / 3 = 40 / y

y = [40 × 3] / [30]

y = 120 / 30

y = 4

Thus,

AC = 4

Therefore,

Answer:

I hope this helps :)        

Answer:

the answer is D

Step-by-step explanation:

I hope this helpsbuuu

Answer:

8.77

Step-by-step explanation:

Answer:

I believe the answer is A) $8.77

step1) multiply the cost of peaches oer pound by 18.4

step2) add the cost for the peaches to the cost for the pineapple

step3)divide the cost by 4

Answer:

not sure for the 1st one but pretty sure 2nd one is B

Step-by-step explanation:

The ground speed (G) is given as

[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex].

The correct potion is B.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.

It means the airplane is flying in the opposite direction of the wind.

The component of an airplane will be

[tex]\rm x = - 600\ sin 30\\\\x = - \dfrac{600}{2}= -300\\\\y = -600 \ cos30\\ \\y= -\dfrac{600 \sqrt{3}}{2}[/tex]

The component of wind will be

[tex]\rm x = 40 cos 60\\\\x = \dfrac{40}{2} = 20 \\\\y = 40sin 45\\ \\y= \dfrac{40\sqrt3}{2}[/tex]

Then the ground speed will be

[tex]G = \sqrt{(600\dfrac{\sqrt3}{2} + 20)^2 + (300 + 40 \dfrac{\sqrt3}{2})^2}[/tex]

Then the correct potion is B.

More about the vector link is given below.

https://brainly.com/question/13188123

Answer:

4

Step-by-step explanation:

Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)

                                   = 2x + 1 + 3x + 2x + 8

                                   = 7x + 9

7x + 9 = 37

7x = 37 - 9

    = 28

x = 28 ÷ 7

x = 4

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

Answer:

24 rows of seats

Step-by-step explanation:

384/16          Equation ( 384 in all, and 16 in each)

24                 Solve

No

The first fraction is under 1 whole while the second fraction is over 1 whole.

40/48 and 1  14/42 is what this is equal to.

May I have brainliest please? :)

Answer:

No

Step-by-step explanation:

the two fractions go down to

40/48= 5/6

56/42= 8/7

So, No

Answer:

-1 = 4

0 = -2

1 = -8

5 = -32

Step-by-step explanation:

trust

Answer:

Hey there!

The answer is 120 because 10x12 + 120.

Hope this helps

Answer: 229,500 people to the nearest hundred

Step-by-step explanation:

Population decreases exponentially at 1.7% per year in a town that is currently 250,000 in number.

Population in 5 years = 250,000 * ( 1 - 1.7%) ⁵

= 250,000 * 0.917841286185143‬

= 229,460

= 229,500 people to the nearest hundred

Answer:

and then what?

Step-by-step explanation:

Answer:

18 units

Step-by-step explanation:

(-4 , 10) and (-4, -8)

Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]

              [tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]

Answer:

The answer is 81

Step-by-step explanation:

prove me wrong

Answer:

Choice D

Step-by-step explanation:

For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.

Answer:

1/1

2/1

Step-by-step explanation:

Answer:

12.8

Step-by-step explanation:

First cube the 3 to get 27.

Then, multiply 2 by 12/5 to get 24/5.

Remove the parentheses and then add 27 with 6 to get 33.

Then divide -24 by 5 to get -4.8.

Add -4.8 with 33 to get 28.2.

Then subtract 15.4 from 28.2 to get 12.8

Answer:

Step-by-step explanation:

0 ≤ d ≤ 12 all real

Answer:

 8

x

Step-by-step explanation:

pretend the 8 is a exponent

Answer:

[tex]x^{8}[/tex]

Step-by-step explanation:

whenever exponents are separated by parentheses, multiply them

example:  [tex](4x^{3})^2[/tex] = [tex]4^{2}[/tex]·[tex]x^{6}[/tex] = 16[tex]x^{6}[/tex]

Answer:

The value of 9u - 6 is -24

Step-by-step explanation:

Let us solve the question

∵ -2u + 2 = 6

→ Subtract 2 from both sides to move 2 from the left side to the right side

∵ -2u + 2 - 2 = 6 - 2

∴ -2u = 4

→ Divide both sides by -2 to find the value of u

∵ [tex]\frac{-2u}{-2}[/tex] = [tex]\frac{4}{-2}[/tex]

∴ u = -2

∵ The given expression is 9u - 6

→ Substitute u by -2 to find the value of the given expression

∴ 9u - 6 = 9(-2)  - 6

∴ 9u - 6 = -18 - 6

∴ 9u - 6 = -24

∴ The value of 9u - 6 is -24

Answer:

g = 8.7

Step-by-step explanation:

3.1 (g - 7) = 5.2

Multiply by 3.1

3.1g - 21. 7 = 5.2

Add 21.7 to both sides

3.1g = 5.2 + 21.7

3.1g = 26.9

Divide both sides by 3.1

g = 26.9 / 3.1

g = 8.677 = 8.7

Answer:

5 4/9

Step-by-step explanation:

8 2/9 - 2 7/9

Converting the numbers from mixed Fraction :

(74/9 - 25/9)

L.C.M = 9

(74 - 25) / 9

= 49 / 9

= 5 4/9

Answer:

y+5=2⋅(x+2)

Step-by-step explanation:

Answer:

78

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define Expression

(2⁵ + 14 ÷ 2) · 2

Step 2: Evaluate