i need help pleases and thanks

Answer:

It will have traveled 375 miles

Step-by-step explanation:

Answer:So firstly, plug in the numbers into the expression:

Next, solve the exponents:

Next, solve the multiplications:

Lastly, combine everything, and your answer will be -23.

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

By substituting the given numeric values for x,y and z into the expression.

That is

(3)3−2(5)2−3(3)3+(−3)4

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

I'll evaluate each term separately.

(3)3=3×3×3=9×3=27

2(5)2=2×(5×5)=2×25=50

3(3)3=3×(3×3×3)=3×27=81

(−3)4=[(−3)×(−3)]×[(−3)×(−3)]=9×9=81

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

Replace these values back into the expression , noting the values which are subtracted.

⇒27−50−81+81=27−50=−23

Answer:

a) 2>-3

b) 0>-4

Step-by-step explanation:

The way I was taught to remember this was, this < represents a crocodile, so whichever number is bigger, it eats that, which means it is facing the bigger number.

Hope this helps :)

Answer:

A. -3<2

B.-4<0

Hope this help

Answer:

2

Step-by-step explanation:

4.12/2.06 = 2

The sum of the squares of the two values of k is 16. To find the values of k for which the line y = kx - 2 is tangent to the parabola y = x^2, we need to set the two equations equal to each other and solve for x.

So, kx - 2 = x^2
Rearranging this equation, we get:
x^2 - kx + 2 = 0
For the line to be tangent to the parabola, this quadratic equation must have only one solution for x, which means its discriminant (b^2 - 4ac) must be equal to zero.
So,
k^2 - 4(1)(2) = 0
Simplifying, we get:
k^2 - 8 = 0
Solving for k, we get:
k = ±√8
Therefore, the two values of k are √8 and -√8.
To find the sum of the squares of these two values of k, we simply square each value, add them together, and simplify:
(√8)^2 + (-√8)^2 = 8 + 8 = 16
So, the sum of the squares of the two values of k is 16.
To find the values of k for which the line y = kx - 2 is tangent to the parabola y = x^2, we need to solve their simultaneous equations and ensure there is only one solution (as tangents intersect the curve at exactly one point).
1. y = x^2
2. y = kx - 2
Substitute equation 1 into equation 2:
x^2 = kx - 2
Rearrange the equation to a quadratic form:
x^2 - kx + 2 = 0
For the line to be tangent to the parabola, the discriminant of the quadratic equation (b^2 - 4ac) must be equal to zero:
(k^2) - 4(1)(2) = 0
k^2 - 8 = 0
Now, solve for k:
k^2 = 8
k = ±√8
The sum of the squares of these two values of k is:
(√8)^2 + (-√8)^2 = 8 + 8 = 16

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Answer:

70.13

Step-by-step explanation:

Answer:

The solution will be "x = 2 and x = -1".

Step-by-step explanation:

The given equation is:

⇒  \(2^{2x+2}\times 5^{x-1}=8^x\times 5^{2x}\)

On solving "\(8^x\)", we get

⇒  \(2^{2x+2}\times 5^{x-1}=(2^3)^x\times 5^{2x}\)

As we know, if the base are same then their powers will be added together.

⇒  \(2x+2=3x\) ...(equation 1)

⇒  \(x-1=2x\) ...(equation 2)

From equation 1, we get

⇒  \(2=3x-2x\)

⇒  \(2=x \ i.e., x =2\)

From equation 2, we get

⇒  \(-1=2x-x\)

⇒  \(-1=x \ i.e., x=-1\)

So that the correct answer will be "x = 2" and "x = -1".

Answer:

a) cost = 50 + 20x, where x is the number of hours worked for.

plot cost on the y-axis and hours on the x-axis.

b) cost = 50 + 20 x 4 = $130

c) 180 = 50 + 20x

   130 = 20x

   6.5 = x

   additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.

Step-by-step explanation:

The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expressions are as 3y⁻⁴ and 2y⁻⁴.

The product of these two will be

\(\rm 3y^{-4} * 2y^{-4}\\\\3*2*y^{-4}*y^{-4}\\\\6*y^{-4-4}\\\\6*y^{-8}\\\\\dfrac{6}{y^{8}}\)

The product of these two expressions 3y⁻⁴ and 2y⁻⁴ is 6/y⁸. Then the correct option is A.

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The result of the product expression \((3y ^{-4}) (2y^{-4})\) is 6/y^8

The product expression is given as:

(3y ^{-4}) (2y^{-4)

Rewrite the expression properly as:

\((3y ^{-4}) (2y^{-4})\)

Rewrite the factors of the expression as fractions

\(\frac{3}{y ^4} * \frac{2}{y^4}\)

Multiply 3 and 2

\(\frac{6}{y ^4*y^4}\)

Apply the law of indices

\(\frac{6}{y ^{4+4}}\)

Add 4 and 4

\(\frac{6}{y ^{8}}\)

Hence, the product of \((3y ^{-4}) (2y^{-4})\) is \(\frac{6}{y ^{8}}\)

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Given:

Height of a triangular prism = 6 inches

Legs of right triangular base are 9 inches and 12 inches.

To find:

The lateral surface area of a triangular prism.

Solution:

According to the Pythagoras theorem:

\(Hypotenuse^2=Base^2+Perpendicular^2\)

Using Pythagoras theorem, we get

\(Hypotenuse^2=(9)^2+(12)^2\)

\(Hypotenuse^2=81+144\)

\(Hypotenuse^2=225\)

Taking square root on both sides, we get

\(Hypotenuse=\sqrt{225}\)

\(Hypotenuse=15\)

Now, the lateral surface area of a triangular prism.

\(A=Ph\)

Where, P is the perimeter of the base and h is the height of the prism.

\(A=(9+12+15)\times 6\)

\(A=(36)\times 6\)

\(A=216\)

Therefore, the  lateral surface area of a triangular prism is 216 square inches.

13+v+2v=v+3+4

Combine like terms

13+3v=v+7

Move letters to the left

13+3v-v =7

13+2v=7

Subtract constant

2v=7-13

2v=-6

divide both side by 2

2v/2 = -6/2

v = -3

Answer:

m∠QPS = 112

Step-by-step explanation:

Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ m∠QPS + m∠QRS = 180°

⇒ m∠QPS + 68° = 180°

⇒ m∠QPS = 180° - 68°

⇒ m∠QPS = 112°

Answer:

Step-by-step explanation:

huh

Answer:

2,689

Step-by-step explanation:

you got the first two right it's the last that is wrong

you need to do 2,407-(-282) the two negative make it a positive so add them together and you get 2,689.

Answer:

y = 1

Step-by-step explanation:

y is inversely proportion to x means that ,

y ∝ 1/x or ,

\(y\ \alpha\ \frac{1}{x}\)

When we remove the proportionality sign we get,

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

now we know the point is (2 , 3) which means it corresponds to (x , y) which furthermore means y=3 when x=2,

so we insert these values and get the value of k.

\(y=\frac{k}{x} \\\\3=\frac{k}{2}\\\\6=k\\\)

now the equation becomes,

\(y=\frac{6}{x}\)

now we need to find y when x is 6 so just replace x with 6

\(y=\frac{6}{x}\\\\y=\frac{6}{6} \\\\y=1\)

so we get the value of y is 1

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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One game that fits the description is a deck-building card game called "RandomQuest." In this game, each player creates their own unique character at the beginning by selecting different attributes, abilities, and starting equipment. These choices determine the character's overall strength and capabilities.

During gameplay, players are dealt a hand of random item cards from a shared deck. These item cards represent weapons, armor, spells, potions, and other useful items that the character can utilize. The goal is to strategically use these item cards to overcome challenges and defeat enemies.

The outcome of each encounter is determined by a combination of factors, including the player's character attributes, the chosen item cards, and the random elements introduced by the game mechanics. Each item card has specific effects and values, such as attack power, defense bonuses, or special abilities, which contribute to the character's overall performance.

To calculate the chances of winning, players must consider the strength of their character, the capabilities of their opponents, and the potential synergies between the item cards they possess. They should strategically choose which item cards to play in each encounter, considering factors like the enemy's weaknesses, their own character's strengths, and the potential risks and rewards of each card.

"RandomQuest" is a deck-building card game where players use randomly assigned item cards to win encounters and overcome challenges. Through strategic decision-making and synergistic card combinations, players can maximize their chances of success and achieve victory.

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No, the probability be found by using the binomial probability formula with x counting the number who are left-handed. The correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.

The binomial distribution assumes that the trials are independent, meaning that the outcome of one trial does not affect the outcome of any other trial. However, in this case, the 100 adults were selected without replacement, which means that the outcome of one selection affects the probability of the next selection. Therefore, the trials are dependent, and the binomial probability formula cannot be used.

Instead, we can use the hypergeometric distribution to calculate the probability of at least 30 left-handed adults in a sample of 100 adults selected without replacement from the U.S. population. The hypergeometric distribution takes into account the fact that the selections are dependent and is appropriate for this type of problem.

Therefore, the correct option is (c) No, because the 100 adults were selected without replacement, the selections are dependent.

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The significance of the slope in regression can be determined by conducting a hypothesis test

The slope of the regression line in a regression analysis shows how  dependent variable changes as the independent variable increases by a unit. A hypothesis test on a slope coefficient, commonly referred to as the beta coefficient or the regression coefficient, can be used to ascertain the significance of the slope. The slope coefficient is compared to a null hypothesis value of zero in the hypothesis test.

The null hypothesis is rejected and it is determined that there is a significant association between the independent and dependent variables if the p-value for the slope coefficient is less than the significance threshold. Therefore, slope is not equal to zero and there is an association amongst changes in the independent variable and those in the dependent variable.

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The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.

Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

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Answer: 624 ft^3

work is in the image i attached

Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

What is the mean and standard deviation?

The standard deviation is a summary measure of the differences of each observation from the mean. If the differences themselves were added up, the positive would exactly balance the negative and so their sum would be zero. Consequently, the squares of the differences are added.

To test the claim about the population mean μ at the level of significance α, we can perform a one-sample t-test.

Given:

Claim: μ > 29 (right-tailed test)

α = 0.05

σ = 1.2 (population standard deviation)

Sample statistics: x = 29.3 (sample mean), n = 50 (sample size)

We can follow these steps to conduct the hypothesis test:

Step 1: Formulate the null and alternative hypotheses.

The null hypothesis (H₀): μ ≤ 29

The alternative hypothesis (Hₐ): μ > 29

Step 2: Determine the significance level.

The significance level α is given as 0.05. This represents the maximum probability of rejecting the null hypothesis when it is actually true.

Step 3: Calculate the test statistic.

For a one-sample t-test, the test statistic is given by:

t = (x - μ) / (σ / √(n))

In this case, x = 29.3, μ = 29, σ = 1.2, and n = 50. Plugging in the values, we get:

t = (29.3 - 29) / (1.2 / √(50))

= 0.3 / (1.2 / 7.07)

= 0.3 / 0.17

≈ 1.76

Step 4: Determine the critical value.

Since it is a right-tailed test, we need to find the critical value that corresponds to the given significance level α and the degrees of freedom (df = n - 1).

Looking up the critical value in a t-table with df = 49 and α = 0.05, we find the critical value to be approximately 1.684.

Step 5: Make a decision and interpret the results.

If the test statistic (t-value) is greater than the critical value, we reject the null hypothesis; otherwise, we fail to reject the null hypothesis.

In this case, the calculated t-value is approximately 1.76, which is greater than the critical value of 1.684. Therefore, we reject the null hypothesis.

hence, Based on the sample data and the hypothesis test, there is sufficient evidence to support the claim that the population mean μ is greater than 29 at the significance level of 0.05.

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The inequality to solve is:

Whenever we have absolute value inequality, we solve it in:

Now, solving it:

Answer:

It is logical to get three cases

Step-by-step explanation:

The length and the width of the 500 sheet paper are 216 and 279 mm, respectively, which means that the height for the 500 sheet paper is 45 mm, and for the package, it is 270 mm. This means that 6 (270/45)  500 sheet papers can fit, which is 3000 individual papers. She needs 7000, and since she can only get 6000 from each full case (and can only get it from a full case) she needs to get 3 cases; because if she only gets 2, she can't get any extra, but if she gets three, she gets extra but heeds to her limit. So it is logical to get three cases.

Answer:

  3 cases

Step-by-step explanation:

You want to know the number of cases of printer paper that should be ordered to fill a need for 7000 sheets when there are 500 sheets per 45 mm package in a 270 mm case.

Each package is 45 mm thick, and the case is 270 mm thick. The case will hold ...

  (270 mm/case) / (45 mm/package) = 270/45 packages/case

  = 6 packages/case

The number of packages needed is ...

  (7000 sheets) / (500 shees/package) = 7000/500 packages

  = 14 packages

Then the number of cases needed is ...

  (14 packages) / (6 packages/case) = 14/6 cases = 2 1/3 cases

If only whole cases can be ordered, 3 cases should be ordered to fill the need.

__

Additional comment

We notice that the 216 mm×279 mm footprint of a package is the same as that for a case, so we only need to be concerned with the thickness of the package and the case.

Answer:

1/8

Step-by-step explanation:

(Dont mind me, just need to add more characters LOL)