Angles A and B are complementary. Angle A measures 3x + 10
degrees and angle B measures 2x + 20 degrees. What is the value of
x?

Answer:

[tex]\displaystyle \frac{d}{dx}[x^{20}] = 20x^{19}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = x^{20}[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

4 he can make four cuAse u can cut 8/10s into 4)5

Answer:

4

Step-by-step explanation:

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

Answer:

480 students

Step-by-step explanation:

600 x .80

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

[tex]2100[/tex]

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

[tex]30 and 70[/tex]

Multiply together:

[tex]2100[/tex]

So your answer is B:

[tex]2100[/tex]

Step-by-step explanation:

h(x)=2x+5

3=2x+5

3-5=2x

-2=2x

x= -2

2

x= -1

hope it help u

The value of x when h (x) = 3 would be -1.

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given a function of x as;

h(x)=2x+5

We need to find the value of x when h (x) = 3

Thus,h(x)=2x+5

Plug the value;

3=2x+5

Remove 5;

3-5=2x

-2=2x

So, x = -2 /2

x= -1

Hence, the value of x when h (x) = 3 would be -1.

Learn more about equations here;

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Answer:

[tex]\%Percent = 70\%[/tex]

Step-by-step explanation:

Given

Represent Small Apartments with S and the Regular ones with R

[tex]S:R = 14:6[/tex]

Required

Determine the percentage of small buildings

This is calculated as thus:

[tex]\%Percent = \frac{S}{S + R} * 100\%[/tex]

Substitute values for S and R

[tex]\%Percent = \frac{14}{14 + 6} * 100\%[/tex]

[tex]\%Percent = \frac{14}{20} * 100\%[/tex]

[tex]\%Percent = \frac{14* 100\%}{20}[/tex]

[tex]\%Percent = \frac{1400\%}{20}[/tex]

[tex]\%Percent = 70\%[/tex]

Hence, the percentage if the small apartments is 70%

Note that if we're to calculate the percentage of the regular ones, the formula would have been:

[tex]\%Percent = \frac{R}{S + R} * 100\%[/tex]

Answer:

c

Step-by-step explanation:

Answer:

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Step-by-step explanation:

Given quadratic polynomial is:

[tex]5x^2-14x+8[/tex]

To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x

We get 40 by multiplying 8 and 5

And the pair we get are: 10 and 4

[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]

Hence,

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Step-by-step explanation:

A={1,2,3,4}

B={0,1}

now,

a. A×B={1,2,3,4}×{0,1}

={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}

b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}

c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}

d. B×B={(0,0)(0,1)(1,0)(1,1)}

hope it help u..

Answer:

Jackson eats 15/2 cups of food in 5 days.

Step-by-step explanation:

If Jackson eats 3/4 of food in the morning and at night then he eats 3/2 of food a day or 1.5 cups of food a day.

1.5*5 = 7.5

OR

3/2*5=15/2

Hope this helps!!

Answer:

it is a

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

75 DIVIDED BY .20

20% = .2O

Answer:

The sales price is 60

Step-by-step explanation:

I just multiplied 75 and .20 and got 15

So you need to subtract 15 from 75 because that's the discount

pls mark brainliest

Answer:

x = 16

Step-by-step explanation:

The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.

Thus, ∆ABC ~ ∆EFG. Therefore:

[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]

AB = 12 + 3 = 15

EF = 12

AC = x + 4

EG = x

Plug in the values into the equation

[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]

Cross multiply

[tex] (15)(x) = (x + 4)(12) [/tex]

[tex] 15x = 12x + 48 [/tex]

Subtract 12x from each side

[tex] 15x - 12x = 48 [/tex]

[tex] 3x = 48 [/tex]

[tex] x = \frac{48}{3} [/tex]

[tex] x = 16 [/tex]

Answer:

I got A, B, D

Step-by-step explanation:

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

Answer:

1,087.59014, 23.7, 0.6868

Step-by-step explanation:

Any decimal that ends.

Answer:

The GCD of 510 and 92 is 2

Step-by-step explanation:

510 : 2 = 255

510 : 3 = 170

510 : 4 = 127.5

92 : 2 = 46

92 : 3 = 30.6667

92 : 4 = 23

hope this helps!

Answer:

4,500 mg

Step-by-step explanation:

198x1x50=9900

1x2.2x1=2.2

9900/2.2=4,500

Answer:

In units of measurement of length we use centimeter (cm) to measure. We can use this unit for measuring the length of a pencil, the width of a book etc. but this unit is too big to measure the thicken of a pencil. So we use another unit called millimeter (mm).

Step-by-step explanation:

Answer:

thanks!!!!!!!!!

Step-by-step explanation:

Answer:

It's JOHN CENA!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the process in which one plus one is 2 is to combine the both very complex numbers which equal only one digit so when you combine two one digits you get two

Answer:

3000

Step-by-step explanation:

30000/10=3000

Hope this helps :D

Answer:

B

Step-by-step explanation:

Answer:

15 feet.

Step-by-step explanation:

Tony's speed = 15 ft/min.

Antonio's = 18 feet /min.

So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.

So the answer is 90-75 = 15 feet.

Answer:

(in this order ) 4,9, 3/1

Step-by-step explanation:

The table is complete below.

Eggs                             2          3          4

Cups of milk                6          9          12

Milk over eggs            3          3           3

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The cook at a café follows a recipe that asks for eggs and milk to have a proportionate ratio. Finish the table.

The amount of milk over a number of eggs is given as,

⇒ 6/2

⇒ 3 cups of milk per egg

The amount of milk is given as,

⇒ 3 x 3

⇒ 9 cups of milk

The number of eggs is given as,

⇒ 12 / 3

⇒ 4 eggs

The table is complete below.

Eggs                             2          3          4

Cups of milk                6          9          12

Milk over eggs            3          3           3

More about the ratio and the proportion link is given below.

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Answer:

1536

Step-by-step explanation:

If he drives 48 miles everyday for 32 days, to get his total you multiply to by 32

Answer:

in I day he drives 48 miles

so how many for 32 days