Find the cube of each number.
8

Perform the Indicated Operation for each part

Given,

Step - by - Step Solution:

Let's Know about the sign :

- , - = +

+, + = +

-, + = -

+ , - = -

and follow the these operation for solving question

1.  -1.424 - 2.9 (Addition Operation)

= - 4.324

2. 1.424 - (-2.9) (Addition Operation)

open the bracket

= 1.424 + 2.9

= 4.324

3. -1.424 - (-2.9) - 0.576

Firstly, Open the bracket

= -1.424 + 2.9 - 0.576

Operation both applied (Subtraction and Addition)

= 0.9 (It takes + sign with the answer because positive number is large than the negative number.

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Answer:

y=-1/3 x +2/3

Step-by-step explanation:

all steps are in picture

Answer:

63/50 as an improper fraction.

1 13/50 as a mixed number

Step-by-step explanation:

Answer:

95% = Within two standard deviations from the mean

99.7% = Within three standard deviations from the mean

68% = Within one standard deviation from the mean

Step-by-step explanation:

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Given:

32% are yellow

68% are green

number of samples = 49 eggs

The distribution is binomial because we can either have a green or yellow egg.

(a) The mean number of yellow eggs in samples of 49 eggs

The mean can be calculated using the formula:

The probability (p) of success is the percentage of yellow eggs which is:

Substituting to get the mean:

Hence, the mean number of yellow eggs in the sample is 15.68

(b) The variance in the number of yellow eggs in the sample

The variance can be calculated using the formula:

Substituting we have:

Hence, the variance in the number of yellow eggs in the sample is 10.6624

(c) The standard deviation in the number of yellow eggs in the sample

Standard deviation can be calculated from the variance using the relationship:

Hence, the standard deviation in the number of yellow eggs in the sample is 3.2653

Answer:

$10.50

Step-by-step explanation:

17.50/5 = 3.5

3.5*3 = 10.5

$10.50

Answer:

See below

Step-by-step explanation:

\(3x - 2 > 9 +5x \implies 3x>11+5x \implies -11 > 2x \implies \boxed{x<\dfrac{-11}{2}}\)

Answer:

Step-by-step explanation:

If the numbers before the 0 at the end, multiply to be a factor of 10 then the number of zeros will be different.

Example

50*20=1,000 (3 zeros rather than 2)

250*20=5,000 (3 zeros again)

Answer:

4hdunzkzmfindudjdkzmd

Answer:

27

Step-by-step explanation:

3(5+1+3) distribute

15+ 3+ 9 add

27

The expressions that are completely factored are:

The expressions are considered correct because they have been completely factored, meaning they have been written in the form of "a common factor times another expression". This means that the expression on the right side of the equal sign can be simplified into its simplest form.

For example, in the expression 16a5−20a3=4a3(4a2−5), the 4a3 factor is common to both 16a5 and 20a3, so it can be factored out. The expression then becomes 4a3 times (4a2−5), which is the completely factored form.

Similarly, in the expression 12a3+8a=4(3a3+2a), the factor of 4 is common to both the expressions on the right side, so it can be factored out. This results in the completely factored form of 4 times (3a3+2a).

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Answer:

16a^5−20a^3=4a^3(4a^2−5)

and

24a^4+18=6(4a^4+3)

Step-by-step explanation:

The other number can be represented as 123-x.

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

Answer:u fill in 4 tiles

It’s a 4x5 square so there is 20 tiles

And 20 divided by 4 equals 5

So if u fill in 4 tiles it’s like filling in 1/5 aka 20%

Answer:

B

Step-by-step explanation:

Answer

-3

Step-by-step explanation:

on edge 2020

Answer:

Step-by-step explanation:

$100x0.5x1=$5

The equation of the line passing through the point (2, 3) and making an angle of 45 degrees with the line x - 3y = 5 is

y = -3x + 9.

The equation of a line passing through a given point and making an angle of 45 degrees with another line can be found using the concept of slope.

Let's start by finding the slope of the given line, x - 3y = 5. To do this, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where m represents the slope.

Rearranging the equation, we get:

x - 3y = 5
-3y = -x + 5
y = (1/3)x - (5/3)

So, the slope of the given line is 1/3.

Since the line we want to find makes an angle of 45 degrees with the given line, the slope of the line we want to find will be the negative reciprocal of the slope of the given line. The negative reciprocal of 1/3 is -3.

Now, let's use the point-slope form of a linear equation to find the equation of the line passing through the point (2, 3) with a slope of -3. The point-slope form is given by:

y - y1 = m(x - x1)

Substituting the values into the formula, we get:

y - 3 = -3(x - 2)

Expanding the equation:

y - 3 = -3x + 6

Simplifying:

y = -3x + 9

Therefore, the equation of the line passing through the point (2, 3) and making an angle of 45 degrees with the line x - 3y = 5 is y = -3x + 9.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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step by step explaination

1/5 * 3/8

1*3 5*8

3/40

Answer:

\(\frac{3}{40}\)

Step-by-step explanation:

1/5 × 3/8

Using the cross product for the proff of Pythagoras theorem, the correct step is

By the cross product property, AB² =  BC multiplied by BD

The cross product property is typically used to solve equations with two values, where the product of the extremes (the outer terms) is equal to the product of the means (the inner terms).

For the similar triangles, the ratio is as follows

BD / BA = BA / BC

BA² = BD * BC

and AB = BA, hence

BA² = BD * BC

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Answer:

y=7X-6

Step-by-step explanation:

A linear equation is defined because it has only variables with an exponent of 1, for example:

y=5x+3

Is a linear equations because all of the variables don't have any other exponent other than 1.

But in this case, since the equation is:

We can see that the first term on the right side has x with an exponent of 2. So this is not a linear equation. Thus, this is a non linear equation.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

94

Step-by-step explanation:

Surface area of a rectangular prism = 2(lw + wh + lh)

where l = lenght, w = width and h = height

here we are given that the rectangular prism has a lenght of 3, a width of 4 and a height of 5.

So we have SA = 2(lw + wh + lh)

==> plug in l = 3, w = 4 and h = 5

SA = 2((3)(4) + (4)(5) + (3)(5))

==> find products of numbers that are next to each other seperated by parenthesis

SA = 2(12 + 20 + 15)

==> find sum of values in parenthesis

SA = 2(47)

==> multiply 2 and 47

SA = 94

Answer:

Surface area = 94

Step-by-step explanation:

║Formula for {Area of  a Rectangular Prism} ║:

2(lw + wh + lh)

Which can also express as:

2(Lw) + 2(Wh) + 2(Lh)

While,

L = Length

W = Width

H = Height

║ Given ║ :

Length: 3

Width: 4

Height: 5

║Solve ║:

2( 3 × 4) + 2(4  × 5) + 2(3  × 5)

(6  × 4 )+ (8  × 5) +( 6  × 5)

24 + 40 + 30

64 + 30

94

Hence, the surface area of a rectangular prism is:

94

Kavinsky

Answer:

There are 45,697,600 different possible license plates. If no letters or numbers are repeated, there are 32,292,000 possible license plates.

Step-by-step explanation:

For the first question, we can repeat letters and digits.

Let \(\ell\) represent a letter and \(#\)\(\#\) represent a digit. The license plate format given is:

\(\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{\ell}\:\:\underline{n}\:\:{\underline {n}\)

For each letter, there are 26 letters to choose from (alphabet). For each digit, there are 10 numbers to choose from (0-9).

Since we're choosing 4 letters and 2 numbers, the number of possible license plates is:

\(26\cdot 26\cdot 26\cdot 26\cdot 10\cdot 10=\boxed{45,697,600}\)

If we stipulate that no letter or digit may be repeated, then we'll still have 26 choices for the first letter, but for the second letter, we'll only have 25. Then 24, 23, and so on. Similarly, for the first digit, there will be 10 choices, then 9, 8, and so on.

Therefore, the desired answer for the second part of the question is:

\(26\cdot 25\cdot 24\cdot 23\cdot 10\cdot 9=\boxed{32,292,000}\)

*Note that we don't need to account for rearrangements as \(HOCL67\) and \(CLHO76\) are considered different license plates (order matters).

The approximate volume only applies when pi = 3.14

Use either answer, but not both of course.

===============================================

Work Shown:

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*8

V = pi*32

V = 32pi .... exact volume in terms of pi

V = 32*3.14

V = 100.48 .... approximate volume when we use pi = 3.14

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).