What is the slope intercept form for this ?

The length of one side of the box is 10 inches.

Suppose that: The side length of the considered cube is L units.

Then, we get the Volume of that cube = L³ cubic units.

The volume of a cube is of the form V =  L³, where L is the side length.

Given that the shipping box has a volume of 1,000 cubic inches.

Here, we know the volume V, but not the measure of length. So, we can plug in the value 1000 for V and solve for L:

1000 =  L³

Cube root both sides:

L = \(\sqrt[3]{1000}\)

Therefore, each side is 10 inches.

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If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (QA and QB in the figure above) form a single straight line through the common endpoint Q. When the two rays are opposite, the points A,Q and B are collinear.

Answer:

I need to see the equation to solve it.

Step-by-step explanation:

Without using calculator, the values are;

i. sec x = √5/2

ii. cosec x =  -√5

iii. cot x = -2

From the information given, we have that the trigonometric identity tangent takes the value;

tan x = - 1/2

Where;

Now, let's determine the hypotenuse side,

Hypotenuse square = opposite square + adjacent square

substitute the values

x² = (-1)² + (2)²

find the squares

x² = 1 + 4

x = √5

For secant,

sec x = hypotenuse/adjacent

sec x = √5/2

For cosecant,

cosec x = hypotenuse/opposite

cosec x = √5/-1 = -√5

For cot x,

cot x = Adjacent/opposite

cot x = 2/-1

cot c = -2

Hence, the values are √5/2, -√5 and -2

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The set of polynomials P does not form a basis for P₃, as it is not linearly independent.

What is a polynomial?

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

To determine if the set of polynomials P = {P₁(t) = 3 + 7t, P₂(t) = 6 + t - 4t³, P₃(t) = 2t - 2t², P₄(t) = 6 + 33t - 6t² + 4t³} forms a basis for P₃, we need to check if the set is linearly independent and spans P₃.

To check for linear independence, we set up the following linear combination:

c₁P₁(t) + c₂P₂(t) + c₃P₃(t) + c₄P₄(t) = 0

where c₁, c₂, c₃, and c₄ are constants, and the zero on the right side indicates the zero polynomial. We want to show that c₁ = c₂ = c₃ = c₄ = 0 is the only solution.

Substituting the polynomials into the equation, we get:

c₁(3 + 7t) + c₂(6 + t - 4t³) + c₃(2t - 2t²) + c₄(6 + 33t - 6t² + 4t³) = 0

Simplifying and collecting like terms, we get:

(4c₄ - 4c₃)t³ + (-6c₄ - 6c₃)t² + (7c₁ + c₂ - 2c₃)t + (3c₁ + 6c₂ + 6c₄) = 0

For this equation to hold for all t, each coefficient must be zero. Therefore, we have the following system of equations:

4c₄ - 4c₃ = 0

-6c₄ - 6c₃ = 0

7c₁ + c₂ - 2c₃ = 0

3c₁ + 6c₂ + 6c₄ = 0

Solving this system of equations, we obtain c₁ = -2c₂, c₃ = -c₄, and we can choose c₂ and c₄ freely. This means that the set of polynomials P is not linearly independent, as there are non-trivial solutions to the equation c₁P₁(t) + c₂P₂(t) + c₃P₃(t) + c₄P₄(t) = 0.

Therefore, the set of polynomials P does not form a basis for P₃, as it is not linearly independent.

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In regression analysis, there is one dependent variable and there can be one or more independent variables among which a relationship has to be established.

Given that;

Regression analysis is a statistical procedure for developing a mathematical equation that describes;

Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression. You must specify a dependent variable that you believe is influenced by one or more independent variables before you can do a regression analysis.

The next step is to create an extensive dataset to work with. A great technique to create this dataset is by sending surveys to your target audiences. Questions covering each of the independent variables in which you are interested should be included in your survey.

Hence, Regression analysis requires establishing a link between one or more independent variables and one dependent variable.

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Answer:

○ \(\displaystyle 12,9\)

Step-by-step explanation:

Use the Law of Sines to find the length of the second edge:

Solving for Angles

\(\displaystyle \frac{sin\angle{C}}{c} = \frac{sin\angle{B}}{b} = \frac{sin\angle{A}}{a}\)

Use \(\displaystyle sin^{-1}\)towards the end or you will throw your result off!

Solving for Edges

\(\displaystyle \frac{c}{sin\angle{C}} = \frac{b}{sin\angle{B}} = \frac{a}{sin\angle{A}}\)

Let us get to wourk:

\(\displaystyle \frac{a}{sin\:40} = \frac{10}{sin\:30} \hookrightarrow \frac{10sin\:40}{sin\:30} = x; 12,855752194... \\ \\ \boxed{12,9 \approx x}\)

I am joyous to assist you at any time.

Answer:

1/8

Step-by-step explanation:

1/2 divided by 4 = 8 1/8ths

Answer:

symmetric property

Step-by-step explanation:

because if we say

a=b and b=a

we referred to symmetric property

Answer:

$2072

Step-by-step explanation:

Note that:

1 year = 12 months

Hence:

1 year = 12 months

3 years = x months

Cross Multiply

x = 3 × 12

x = 36 months

She makes a down payment of $200 and monthly payments of $52 each for three years.

Her total cost is represented by the expression

= $200 + $52 × m

Where m = number of monthly payments.

$200 + $52 × 36

= $200 + $1872

= $ 2072

2.952

Step-by-step explanation:

First you must convert 3.6% into a decimal which is 0.036 (or move the decimal over twice).

Then multiply 82 by the given decimal

82 x 0.036= 2.952

(round if necessary)

The value of k is 5/9(F-32) + 273.15.

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other.

Given:

F=9/5(k-273.15)+32

On solving for k

F-32 = 9/5 (k-273.15)

(F-32)*5/9 = (k-273.15)

5/9(F-32) + 273.15 = k

k=5/9F - 290.927

Hence, the value of k is 5/9F - 290.927.

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Answer: 162

Step-by-step explanation:

The following statements are true regarding the margin of error: Being more confident (increasing confidence level) will yield a larger margin of error and selecting a larger SRS from the population will yield a smaller margin of error.

A margin of error (MOE) is the degree of inaccuracy in estimating a population's true proportion or mean by analyzing a sample dataset. It represents the uncertainty or confidence level of a poll's findings. It is a critical element in political polls, scientific studies, and marketing research. The accuracy of the findings is expressed in the margin of error, which is given as a percentage. The standard deviation of the sampling distribution, not the standard deviation of the population, determines the margin of error. As a result, selecting a larger sample size, the standard deviation decreases, and the margin of error decreases. Therefore, selecting a larger SRS from the population will yield a smaller margin of error. Confidence intervals are used to determine the margin of error, and increasing the confidence level will result in a larger margin of error. As a result, being more confident (increasing confidence level) will yield a larger margin of error.

Thus, the correct options are (B) and (D). Option (A) is incorrect because a large confidence level requires a large value of 2*. Option (C) is incorrect because the margin of error is influenced by the standard deviation of the sampling distribution.

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Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

The boolean expressions that evaluate to false are b) 1 == 0 and e) false.

a) 8 <= 4: This expression compares the values of 8 and 4. Since 8 is not less than or equal to 4, this expression evaluates to false.

b) 1 == 0: This expression checks whether 1 is equal to 0. Since 1 is not equal to 0, this expression evaluates to false.

c) (5 - 2) == (10 - 7): This expression compares the result of subtracting 2 from 5 with the result of subtracting 7 from 10. Since both subtractions yield 3, the expression evaluates to true.

d) (true and true) or: This expression combines the logical AND operation between two true values and then performs the logical OR operation with an unspecified value. Without the second operand, the expression is incomplete and cannot be evaluated.

e) false: This expression directly evaluates to false since false is a boolean literal.

Therefore, the boolean expressions that evaluate to false are b) 1 == 0 and e) false.

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Answer:

R = {-9, -3, 7}

Step-by-step explanation:

The range are all the outputs (y-values) in a given relation or function.

{(4,7), (4, -3), (-5, -9)}

The range in the given set is {-9, -3, 7}.

Hope this helps.

Step-by-step explanation:

10=7-m

10-7=-m

3=-m

m=-3

Answer and Step-by-step explanation:

For this two step equation, to solve for m, we need to subtract 7 from both sides, then divide by -1 to get m.

10 = 7 - m

3 = -m

-3 = m

#teamtrees #WAP (Water And Plant)

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

Answer:

x = 20

<f =  80

<g =100

Step-by-step explanation:

<f and <g are supplementary so they add to 180

5x-20 + 3x+40 = 180

Combine like terms

8x+20 = 180

Subtract 20 from each side

8x+20-20 = 180-20

8x = 160

Divide by 8

8x/8 = 160/8

x = 20

<f = 5x-20 = 5*20 -20 = 100-20 = 80

<g = 3x+40 = 3*20 +40 = 60+40 = 100

Answer:

Step-by-step explanation:

10 people don’t play volleyball 120-10=110 110 play one or both games 90+72 =162 which is > 110 by 52

There are 52 people who play volleyball as well as football.

Let A, B be two different sets the,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B) .

"A Venn diagram is a diagram that uses overlapping shapes to illustrate the logical relationships between two or more sets."

For given situation:

Let set A: People playing volleyball

set B: People playing football

⇒ n(A) = 90

⇒ n(B) = 72

Given group is of 120 people.

10 people play neither of games.

This means, only 110 people play football or volleyball or both.

⇒ n(A ∪ B) = 110

Using the Inclusion Exclusion Principle,

n (A ∪ B) = n (A) + n (B) − n (A ∩ B)

⇒ 110 = 90 + 72 - n (A ∩ B)

⇒ n(A ∩ B) = 52

Therefore, 52 people play volleyball as well as football.

Venn-diagram for given information is as shown below.

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Answer:

1) The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

2) The solution x=60 represents the total food bill.

Step-by-step explanation:

i took this quiz before

Answer:

Step-by-step explanation:

1. ABE bc the both have a right angle. plus when added together, they make a square which means they are the same.

2. id remember how to do the second one i am so sorry

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation

Answer:

The Angle is AABC

they met at =46

Answer:

D

Step-by-step explanation:

Because 20000 is the power of ten and i wrote it down on paper

Answer:

C .0001

Step-by-step explanation:

if u put the numbers .0001 into the calculator then u will get the number

1 x 10^-4.

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

The probability that the first spin lands on blue and the second spin lands on gray is 4/25.

Since the spinner has 5 equally sized sections, the probability of landing on blue on the first spin is 4/5, as there are 4 blue sections out of a total of 5 sections.

After the first spin, there are 4 sections left on the spinner, with 1 gray section and 3 blue sections.

The probability of landing on gray on the second spin is 1/4.

To find the probability of both events occurring, we multiply the probabilities together:  

                                 (4/5) * (1/4) = 4/20 = 1/5.

However, the probability is usually expressed in simplest form. The fraction 1/5 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 1.

Therefore, the final answer is 4/25.

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