Liam's mass is 102.1 kg

Choose the best approximation of Liam's mass.

Choose 1 answer:


A.) 1*10^1 kg


B.) 1*10^2 kg


Earth has an estimated mass of 5,972,000,000,000,000,000,000,000

Choose the best approximation of the Earth's mass.

Choose 1 answer:


A.) 6*10^21


B.) 6*10^24


Approximately how many times as large is the Earth's mass as Liam's mass?

Choose 1 answer:


A.) 6*10^20


B.) 6*10^21


C.) 6*10^22

Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

PLS MARK ME AS THE BRAINLIST!!!

Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

The table is given as:

                   North market     South market

Cherries          0.96                   0.8

Asparagus       0.5                   0.65

The probability of buying both produce at both markets is calculated as:

P(North) = 0.96 * 0.5 = 0.48

P(South) = 0.8 * 0.65 = 0.52

0.52 is greater than 0.48

Hence, Elena should go to the south market because there is 0.52 probability of both cherries and asparagus being available.

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Answer:

x = 67 *272    = 364.48 = 364 (rounded as requested).  

Step-by-step explanation:

Use the proportion

   50 = 272  

    67      x

Answer:

yo dude dont be upset im doing what you did lol!

Answer:

oh

Step-by-step explanation:

Answer:

162,735

Step-by-step explanation:

570(570 + 1)/2 = 162,735

The proofing of Fermat's last theorem shows that y = a² - b², z = a² + b² and x = 2ab.

The equation x² + y² = z². We can assume that x, y, and z are positive and relatively prime. Suppose that x is even. Then:

(z - y/2)(z + y/2) = (x/2)²

Hence,

(z - y)/2 = b²

(z + y)/2 = a²

Then, y = a² - b², z = a² + b² and x = 2ab.

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Answer:

1:If three pairs of sides of two triangles are equal in length, then the triangles are congruent. ASA (angle-side-angle): If two pairs of angles of two triangles are equal in measurement, and the included sides are equal in length, then the triangles are congruent. 2:All sides are equal in length. Diagonals bisect each other at a 90-degree angle. The sum of any two adjacent interior angles is 180 degrees. Opposite sides are equal and parallel to each other.3:Each pair of opposite sides is parallel, and adjacent sides are perpendicular. This means that every angle in a rectangle is a right (90∘) angle.

Step-by-step explanation:

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

Answer:

except c all

Step-by-step explanation:

because

5(2+4)=10+20

30=30

9(3+2)=27+18

45=45

2(5+6)=10+12

22=22

Answer:

First Number=9

Second number=18

Third Number=72

Step-by-step explanation:

let's take the first number as X

X+(9+X)+[4(9+X)]=99

X+9+X+36+4=99

6X=99-45

X=54/6

X=9

Answer:

42 sq ft.

Step-by-step explanation:

[tex]A=w *l[/tex]

[tex]A=14 *3=42[/tex]

=42 sq ft

(note: i dont think it matters how you put the numbers, they still mulitply up to 42)

Hope this helped

~rere

Answer:

[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx = \boxed{ - \frac{\sqrt{x^4 + 1} (8x^8 - 4x^4 + 3)}{30x^{10}} + C }[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Rule [Basic Power Rule]:

Integration

Integration Rule [Reverse Power Rule]:
[tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:
[tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:
[tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Integration Methods: U-Substitution, U-Solve, Trigonometric Substitution

Step-by-step explanation:

*Note:

The problem is too big to fit all work. I will assume that you know how to do basic calculus.

Step 1: Define

Identify given.

[tex]\displaystyle \int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx[/tex]

Step 2: Integrate Pt. 1

Step 3: Integrate Pt. 2

Identify variables for u-substitution/u-solve.

Step 4: Integrate Pt. 3

Start solving the integral using u-solve:

[tex]\displaystyle \begin{aligned}\int {x^{-11}(1 + x^4)^\Big{- \frac{1}{2}}} \, dx & = \int {\frac{1}{x^{11}\sqrt{x^4 + 1}}} \, dx \\& = \int {\frac{1}{2u^6 \sqrt{u^2 + 1}}} \, du \\& = \frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du \\\end{aligned}[/tex]

Step 5: Integrate Pt. 4

Identify variables for trigonometric substitution.

Step 6: Integrate Pt. 5

Let's focus on just the integral itself. Apply the Trigonometric Substitution Integration Method and other basic integration techniques listed under "Calculus":

[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\\end{aligned}[/tex]

Step 7: Integrate Pt. 6

Identify variables for u-substitution/u-solve again.

Use another variable besides u to avoid confusion with earlier substitutions:

Step 8: Integrate Pt. 7

Reduce the integral using the U-Solve Integration Method and other basic integration techniques listed under "Calculus":

[tex]\displaystyle \begin{aligned}\int {\frac{1}{u^6 \sqrt{u^2 + 1} }} \, du & = \int {\frac{\sec^2 v}{\tan^6 v \sqrt{\tan^2 v + 1} }} \, dv \\& = \int {\frac{\sec v}{\tan^6 v}} \, dv \\& = \int {\cot v \csc v (\csc^2 v - 1)^2} \, dv \\& = \int {-(w^2 - 1)^2} \, dw \\& = - \int {(w^2 - 1)^2} \, dw \\& = - \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw \\\end{aligned}[/tex]

Step 9: Integrate Pt. 8

Solve the integral using basic integration techniques listed under "Calculus":

[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \Bigg[ \int {w^4} \, dx - \int {2w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \int {w^4} \, dx - 2 \int {w^2} \, dx + \int {} \, dx \Bigg] \\& = - \Bigg[ \frac{w^5}{5} - \frac{2w^3}{3} + w + C \Bigg] \\& = - \frac{w^5}{5} + \frac{2w^3}{3} - w + C \\& = - \frac{\csc^5 v}{5} + \frac{2\csc^3 v}{3} - \csc v + C \\\end{aligned}[/tex]

[tex]\displaystyle\begin{aligned}- \int {\bigg( w^4 - 2w^2 + 1 \bigg)} \, dw & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{5u^5} + \frac{2(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{u} + C \\\end{aligned}[/tex]

Step 10: Integrate Pt. 9

Let's substitute our integral value into our integral from "Step 4":

[tex]\displaystyle\begin{aligned}\frac{1}{2} \int {\frac{1}{u^6 \sqrt{u^2 + 1}}} \, du & = - \frac{(u^2 + 1)^\Big{\frac{5}{2}}}{10u^5} + \frac{(u^2 + 1)^\Big{\frac{3}{2}}}{3u^3} - \frac{\sqrt{u^2 + 1}}{2u} + C \\& = - \frac{(x^4 + 1)^\Big{\frac{5}{2}}}{10x^{10}} + \frac{(x^4 + 1)^\Big{\frac{3}{2}}}{3x^6} - \frac{\sqrt{x^4 + 1}}{2x^2} + C \\& = \boxed{ - \frac{\sqrt{x^4 + 1}(8x^8 - 4x^4 + 3)}{30x^{10}} + C } \\\end{aligned}[/tex]

∴ we have found the indefinite integral.

___

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Topic: Calculus

Answer:

∠ AOC = 124°

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

3x + 94 + x + 30 + 2x - 4 = 180

6x + 120 = 180 ( subtract 120 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

Then

∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°

Answer:

32

Step-by-step explanation:

4 ÷ 1/8

make 4 into a fraction

4/1 ÷ 1/8

when dividing a fraction you change the divide into multiply and you flip the second fraction:

4/1 × 8/1 = 32

Answer:

32

Step-by-step explanation:

1/8 = 1 / 8 = 0.125        4 / 0.125 = 32

mad skillz gl cheating on your I-ready test

Answer:

P(1 or 2) = 2/9

Step-by-step explanation:

OR means we add each probability

If it is 9-sided, I will assume the die will be numbered 1-9

Probability of getting a 1 in mathematical notation is:

P(1) = 1/9

Probability of getting 2:

P(2) = 1/9

We add their probabilities since we want to know if we get either 1 or 2

P(1) + P(2) = 1/9 + 1/9 = 2/9

If the question asked what the probability was of getting a 1 and a 2 by rolling the die twice, we would multiply the probabilities together

1/9 x 1/9 = 1/81

Answer:

[tex]x \leqslant 4[/tex]

Goodluck

Step-by-step explanation:

X is smaller than or equal to 4

Answer:

  C = 25°, b = 62.3, c = 32.1

Step-by-step explanation:

The Law of Sines can be used to solve a triangle when two angles and a side opposite one of them is given.

__

The angle sum theorem can be used to find the third angle.

  C = 180° -A -B = 180° -30° -125° = 25°

__

The Law of Sines tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

  b = a(sin(B)/sin(A)) = 38·sin(125°)/sin(30°) ≈ 62.3

  c = a(sin(C)/sin(A)) = 38·sin(25°)/sin(30°) ≈ 32.1

The solution is ...

  C = 25°, b = 62.3, c = 32.1

Then the two solutions of the quadratic equation are 4/5 and 3.

Here we want to solve the quadratic equation:

(-5x + 4)*(x - 3) = 0

The two solutions are the values of x for which each parenthesis becomes equal to zero, so the two solutions are given by:

-5x + 4 = 0

x - 3 = 0

If we solve these two equations we get:

x = -4/-5 = 4/5

x = 3

Then the two solutions are 4/5 and 3.

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Number line equality to -5< =< -1

Answer:

B I just got that question it was B

Answer:

  A.  200 packages

Step-by-step explanation:

The number of packages per roll can be found by dividing the length of a roll by the length of tape needed for each package.

__

For each package:

  (2.375 in/piece)×(4 piece/package) = 9.5 in/package

Per roll:

  (1900 in/roll) / (9.5 in/package) = (1900/9.5) packages/roll

  = 200 packages/roll

The machine can seal 200 packages with a roll of tape 1900 inches long.

Answer:

3:2.

Step-by-step explanation:

They have 15 - 6 = 9 problems to do, so it is:

9:6

= 3:2.

Answer:

9/15

Step-by-step explanation:

15 - 6 = 9 as a fraction would be 9 meaning what is left and 15 as meaning how much they started with so it is 9/15 also called 9 over 15

Hope This Helped

Answer:f^8

Step-by-step explanation:

F^7 multiplied by F^1 =f (7+6+1)= f^8F

Answer:

Step-by-step explanation:

Given :

f(x) = x − 3

g(x) = x² − x

Note : (f+g)(x) = f(x) + g(x)

then

(f+g)(2) = f(2) + g(2)

           = (2 - 3) + (2² - 2)

           = -1  +  2

           = 1

another method:

(f+g)(x) = f(x) + g(x) =  x − 3 + x² − x = x² - 3

then

(f+g)(2) = 2² - 3 = 4 - 3 = 1

Answer:

17.2 is 17.2 units to the right of zero on the number line.

Step-by-step explanation:

On a number line positive numbers are on the right of 0 and negative numbers are one the left of 0.

Please mark brainliest :)

Answer: Right

Step-by-step explanation:

    All positive numbers are to the right of zero on the number line.

   All negative numbers are to the left of zero on the number line.

        17.2 is a positive number, so;

17.2 is 17.2 units to the (right/left) of zero on the number line.