At Walmart a bag of chips
cost $3.50. Jayden's mom
has given him $21. Write
an equation that can be
used to determine how
many bags of chips Jayden
can buy.

Answer:

Step-by-step explanation:

By subtracting 2 from both sides, we get the equivalent inequality

x>−5 .

So, the solution set is

{x | x>−5} .

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

Explanation:

The tri-inequality A < B < C breaks up into A < B and B < C

Use this idea to break up 2 ≤ 2x < x+5 into these two pieces

We'll solve each inequality individually.

Let's start with the first one.

2 ≤ 2x

2/2 ≤ 2x/2

1 ≤ x

Now onto the second inequality

2x < x+5

2x-x < x+5-x

x < 5

-------------------------

From here recombine 1 ≤ x and x < 5  to get  1 ≤ x < 5

If x is an integer only, then the roster set of solutions that satisfy this inequality is {1, 2, 3, 4}. Notice 5 is not part of the solution set, but 1 is.

We can replace x with any of those items in bold to get a true statement.

For instance, let's replace x with 3.

1 ≤ x < 5 updates to 1 ≤ 3 < 5 which is true

Let's go back to the original tri-inequality and replace each x with 3. Then simplify each side.

2 ≤ 2x < x+5

2 ≤ 2*3 < 3+5

2 ≤ 6 < 8

We end up with a true statement, which verifies that x = 3 is one of the integer solutions. I'll let you verify the other values 1,2, and 4.

We can fill in the boxes to make each equation complete as follows:

1. x³x⁹ = x¹²

2. x⁷/x³ = x⁴

3. 1/x⁻⁵ = x⁵

4. (7b³c⁵)³ = 343b⁹c¹⁵

To solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.

1. x³x⁹ = x³ ⁺ ⁹ = x¹²

For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.

2. x⁷/x³ = x⁷ ⁻ ³ = x⁴

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Answer:

2√2

Step-by-step explanation:

√8 can be simplified to √(4)(2) , since 4 x 2 still equals 8. But now, 4 is a perfect sqaure, and whenever we get a perfect sqaure, we divided it by its root and put that number on the outside.

For ex: √32 = √(16)(2), since 16 x 2 = 32. 16 is a perfect sqaure, so we take its root and put it on the outside 4√2 ,

Now with this one, we'll do the same thing: √(4)(2) = 2√2

Answer:

2^2

Step-by-step explanation:

Answer:

Nothing is here. You may need to reupload question.

Answer:

1200 miles apart for the two cities

The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

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When k is o doesn't satisfy the equation.

Value of \($\mathrm{k}=(?)$\), equation \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) has equal roots.

\(& \Rightarrow \mathrm{kx}(\mathrm{x}-2)+6=0 \\\)

\(& \mathrm{kx} x^2-2 \mathrm{kx}+6=0 \\\)

two roots of quadratic equation

\(& \alpha, \beta= \frac{-\mathrm{b} \pm \sqrt{\mathrm{b}^2-4 \mathrm{ac}}}{2 \mathrm{a}} \\\)

\(& \alpha, \beta= \frac{+2 \mathrm{k} \pm \sqrt{(-2 \mathrm{k})^2-4 \times 6 \times \mathrm{k}}}{2 \times \mathrm{k}} \\\)

\(& \alpha, \beta=2 \mathrm{k} \frac{\pm \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(\alpha=\beta \\\) The roots are qual

\(& \Rightarrow \frac{2 \mathrm{k}+\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}}=\frac{2 \mathrm{k}-\sqrt{4 \mathrm{k}^2-24 \mathrm{k}}}{2 \mathrm{k}} \\\)

\(& \Rightarrow 2 \sqrt{4 \mathrm{k}^2-24 \mathrm{k}}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}^2-24 \mathrm{k}=0 \\\)

\(& \Rightarrow 4 \mathrm{k}(\mathrm{k}-6)=0 \\\)

\(& \Rightarrow \mathrm{k}=0 \text { or } \mathrm{k}=6\)

\($\Rightarrow \mathrm{k}=6[\because \mathrm{k} \equiv 0]$\) as\($\mathrm{k}=0$\)  doesn't satisfy the equation.

The complete question is,

For what value of \($\mathrm{k}$\), are the roots of the quadratic equation, \($\mathrm{kx}(\mathrm{x}-2)+6=0$\) equal?

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If the mean is greater than the median, the data is likely Right-skewed.

In mathematics, the mean is the average of a set of data, which is calculated by adding all the numbers together and then dividing the result by the total number of numbers. Right-skewed distributions have long right tails and are characterized by having a mean that is greater than the median. There are two different sorts of means that may be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.

Therefore, the answer is right-skewed. A data set that is skewed to the right is one where the tail to the right of the data clusters is longer than the tail to the left of the data clusters. This means that the data set will have a mean value that is greater than the median.

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The probability of randomly drawing a chip number that is smaller than 201 is 0.541

The given parameters are

Plastic chips = 1 to 370

This means that

Chips = 370

There are 200 sections that are smaller than 201

This means that the probability is

P = 200/370

Evaluate

P = 0.541

Hence, the probability of randomly drawing a chip number that is smaller than 201 is 0.541

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Answer:

C

Step-by-step explanation:

Since the reflection line is at y=1 then B is only one y value above that line. Therefore, B prime should be one y value below that line.

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer:

200 minutes

Step-by-step explanation:

Given that:

Cellular - Tastic (f) :

Monthly fee = $35

Per minute fee = $0.11

Dirt cheap call (g) :

Monthly fee = $55

Per minute fee = $0.01

How many minutes would you need to use for the cell phones to cost the same

amount?

Let number of minutes for cost to be equal = x

35 + 0.11x = 55 + 0.01x

Collect like terms

0.11x - 0.01x = 55 - 35

0.1x = 20

x = 20/0.1

x = 200

Hence, for cost to be the Same, 200 minutes must be used

2x+7 = 4x-13

Move the x thers to the left side:

2x-4x = -13-7

Combine like terms

-2x = -20

Divide both sides by -2

-2x/-2 = -20/-2

x= 10

Answer:

Whats the question?

Step-by-step explanation:

Answer:

answer

Step-by-step explanation:

there is nothing there i cant answer it

Among the provided functions, the ones that approach positive infinity as x approaches negative infinity are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

To determine which functions approach positive infinity as x approaches negative infinity, we need to analyze the leading terms of the functions. The leading term dominates the behavior of the function as x becomes very large or very small.

Let's examine each function and identify their leading terms:

1. f(x) = 2x^5

The leading term is 2x^5, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

2. f(x) = 9x + 100

The leading term is 9x, which has a positive coefficient but a lower power of x compared to the constant term 100.

As x approaches negative infinity, the leading term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

3. f(x) = 6x^8 + 9x^6 + 32

The leading term is 6x^8, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

4. f(x) = -8x^3 + 11

The leading term is -8x^3, which has a negative coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and negative, indicating that f(x) approaches negative infinity, not positive infinity.

5. f(x) = -10x + 5x + 26

Combining like terms, we have f(x) = -5x + 26.

The leading term is -5x, which has a negative coefficient but a lower power of x compared to the constant term 26.

As x approaches negative infinity, the leading term becomes very large and positive, indicating that f(x) approaches negative infinity, not positive infinity.

6. f(x) = -x + 8x^4 + 248

The leading term is 8x^4, which has a positive coefficient and the highest power of x.

As x approaches negative infinity, this term becomes very large and positive, indicating that f(x) approaches positive infinity.

Therefore, the correct choices are:

- f(x) = 2x^5

- f(x) = 6x^8 + 9x^6 + 32

- f(x) = -x + 8x^4 + 248

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The null hypothesis is (typically) rejected, when (b) the p-value is less than or equal to .05.

In hypothesis testing, the Null-Hypothesis represents the default assumption,

whereas the alternative hypothesis represents the claim made by the researcher.

The "p-value" is defined as a probability metric which indicates the likelihood of observing the data, given that the null hypothesis is true.

If the p-value is small (less than or equal to .05), it means that it is unlikely to observe the data, assuming the null hypothesis is true.

Therefore, a p-value less than or equal to .05 is considered statistically significant, and the null hypothesis is typically rejected, the correct option is (b).

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The given question is incomplete, the complete question is

The null hypothesis is (typically) rejected, when select one:

(a) the p-value is less than or equal to .5

(b) the p-value is less than or equal to .05

(c) the p-value exceeds .05

(d) the p-value exceeds .5

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

degrees and the measure of angle 5 is -------- degrees. The measure of angl

Step-by-step explanation:

Answer:

x =5

Step-by-step explanation:

2(5x – 2) – 2x– 2 = 34

Distribute

10x-4-2x-2 = 34

Combine like terms

8x -6 = 34

Add 6 to each side

8x-6+6 = 34+6

8x = 40

Divide by 8

8x/8 = 40/8

x =5

Answer:

x=5

can you also please mark me as brainliest?

Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.

To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).

The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.

In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.

However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.

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Answer:

13

Step-by-step explanation:

If I read this correctly:

you want to know the square root of 13²?

That would be 13

Answer:

1409.3

Step-by-step explanation:

Let the distance flown by the arrow in feet be \(d\).

\(\sin 20^{\circ}=\frac{482}{d} \\ \\ \frac{1}{\sin 20^{\circ}}=\frac{d}{482} \\ \\ d=\frac{482}{\sin 20^{\circ}} \\ \\ d \approx 1409.3\)

The lowest point on the graph occurs at point (3π/2,  -1)

One of the three fundamental functions in trigonometry, along with cosine and tan functions, is the sine function.

The ratio of the opposite side of a right triangle to its hypotenuse is known as the sine x or sine theta.

The sine function graph is sinusoidal in nature. This is a sim=ne wave that have smooth periodic oscillation

The attached graph shows sine function graph plotted with the interval [0, 2pi]

The lowest point is observed to occur at  (3π/2,  -1)

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A characteristic or measure obtained by using all the data values for a specific population is called a parameter.

A parameter in statistics is a number that identifies a population trait. The average height of all adult males in the population, for instance, may be a criterion if we were interested in researching the heights of all adult men in the United States. The standard deviation, variance, median, mode, and range of a population are other examples of parameters.

In most cases, parameters must be calculated using statistical techniques from a sample of the population. Statistics are the values derived from the sample and are used to predict the values of the related parameters.

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Answer:

-5(3y+8)

Step-by-step explanation:

Answer:

-5(3y+8)

Step-by-step explanation:

no explanations

The information obtained from the hypothesis test can be used to help with scheduling at the doctor's office by allowing for a larger buffer time between patient appointments to account for the increased variability in waiting times.

a. The null hypothesis is that the variance of waiting times is equal to the originally thought value, and the alternative hypothesis is that the variance of waiting times is greater than the originally thought value.

Null hypothesis: σ = \(3.4^2\) = 11.56

Alternative hypothesis: σ > 11.56

b. It is a right-tailed test.

c. We use the chi-square test for variance.

d. Degrees of freedom = n - 1 = 30 - 1 = 29

Level of significance (α) = 0.01

e. The chi-square test statistic is calculated as:

χ2 = (n - 1) * S^2 / σ2

Where S is the sample standard deviation and σ is the hypothesized population standard deviation.

Substituting the values, we get:

χ = 29 * (4.1) / (3.4)2 = 49.87

The chi-square distribution curve for 29 degrees of freedom with a right-tailed test and α = 0.01

The critical value for a right-tailed test with 29 degrees of freedom and α = 0.01 is 43.82.

f. The p-value for this problem is the probability of getting a chi-square value greater than or equal to 49.87 with 29 degrees of freedom.

This can be found using a chi-square distribution table or a calculator.

The p-value turns out to be approximately 0.002 (rounded to three decimal places).

g. We reject the null hypothesis since the calculated chi-square value of 49.87 is greater than the critical value of 43.82.

h. We reject the null hypothesis at the 1% level of significance since the p-value of 0.002 is less than the level of significance of 0.01.

This means that there is strong evidence that the variance of waiting times is greater than the originally thought value.

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Answer:

8!

Step-by-step explanation:

Answer) 8!

Explanation) i dont have one :')

9514 1404 393

Answer:

  1) W = 10

  2) x = 33/2

Step-by-step explanation:

These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.

__

1) 15 = 2W -5

  20 = 2W . . . . . add +5

  10 = W . . . . . . . divide by 2

__

2) 24 = 2x -9

  33 = 2x . . . . . add +9

  33/2 = x . . . . divide by 2

_____

As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.

Answer:

Step-by-step explanation:

Answer:

Today: Thursday, 05 November 2020

Hour: 13.59 WIB (Indonesia)

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