a rectangular garage has a perimeter of 24 meters and an area of 27 square meters. What are the dimensions of the garage?

The required, rate of change of function B is greater than the rate of change of Function A.

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

Here,
For function 1 rate of change is given by the slope of the function,

m = (y₂ - y₁) / (x₂ - x₁)
m = 2 - 1 / 4 - 0
m = 1/4

m = 0.25

For function B, y = 0.75x - 2 rate of change has defined the slope of the function from the equation slope is m = 0.75.

So Slope of function B > Slope of function A

Thus, the rate of change of function B is greater than the rate of change of Function A.

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9514 1404 393

Answer:

  Will’s Wrapping Company needs 9,980 mm^2 of paper to wrap the chocolate bar.

Step-by-step explanation:

The formula for the area of a rectangular prism can be written ...

  A = 2(LW +H(L+W))

  A = 2(90·50 +3.5(90 +50)) = 2(4500 +3.5(140)) = 2(4990)

  A = 9980 . . . square millimeters

Answer:

-8 and 3, or -3 and 8

Step-by-step explanation:

xy = -24

x - y = 11

x = y + 11

y(y + 11) = -24

y^2 + 11x + 24 = 0

(y + 8)(y + 3) = 0

y = -8 or y = -3

x = 3 or x = 8

the numbers are -8 and 3, or -3 and 8

Answer:

Let's solve your equation step-by-step.

27+9x=12x−6

Step 1: Simplify both sides of the equation.

27+9x=12x−6

27+9x=12x+−6

9x+27=12x−6

Step 2: Subtract 12x from both sides.

9x+27−12x=12x−6−12x

−3x+27=−6

Step 3: Subtract 27 from both sides.

−3x+27−27=−6−27

−3x=−33

Step 4: Divide both sides by -3.

−3x

−3

=

−33

−3

x=11

Answer:

x=11

Step-by-step explanation:

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

We can say that the two triangles are similar by AA

From the question, we are to determine which of the given statement is correct

From the given information,

< A = 97 °, < B = 46 °,

and

< D = 97 ° and < F = 37 °

Thus, we can write that

< C = 180° - (97° + 46°)

< C = 180° - 143°

< C = 37°

Also,

< E = 180° - (97° + 37°)

< E = 180° - 134°

< E = 46°

Thus,

< A = 97 °, < B = 46 °, and < C = 37°

and

< D = 97 °, < E = 46°, and < F = 37 °

This means triangle ABC is similar to triangle DEF by the AAA theorem

Hence, we can say that the two triangles are similar by AA

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Step-by-step explanation:

D.

subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set

The lower quartile of a set of data is calculated by subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.

"A quartile is a statistical term that describes a division of observations into four defined intervals based on the values of the data and how they compare to the entire set of observations.

Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurements are less than the lower quartile, 50% are less than the median, and 75% are less than the upper quartile."

From the definition it is clear that,

lower quartile of a set of data is calculated by :

subtracting the smallest value of the lower half of the data set from the biggest value of the lowest half of the data set.

Hence, D is the correct option.

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Answer:

2/5 are gold

Step-by-step explanation:

24 would be gold, and 24/60 can simplify to 4/10, and can them simplify again to 2/5.

:))

Answer:

\(\frac{2}{5}\) of the stars are gold.

Step-by-step explanation:

No. of gold stars

= (60÷10)×4

= 6×4

= 24

Hence, fraction of stars that are gold = \(\frac{24}{60}\) = \(\frac{2}{5}\)

hello

to solve this question, we should let the unknown number be represented by x

the first number (x) is equal to 11, we can find the other number.

from the calculations above, the numbers are 11 and 22

Answer:

77.5

Step-by-step explanation:

180-25=155

155/2=77.5

The solution is,

i) 3.25x ≤ 26.50

ii) Omar can buy 8 bracelets.

An inequality can  be stated as a relation which makes a non-equal comparison between two numbers or mathematical expressions. It is denoted by the symbol < / > .

here, we have,

Omar has a gift card for $40.00.

Omar bought a hat for $13.50

now, he has in the account as the remaining amount

= $40.00 - $13.50

= $26.50

He would like to buy souvenir bracelets for his friends.

Each cost = $3.25

Let, the number = x , which  of bracelets can buy.

3.25x ≤ 26.50

Now we have to solve the inequality.

Dividing both sides by 3.25, we get

x ≤ 8.15

The bracelets cannot be in decimal form.

Now, we have ,

to round off  the number to nearest whole number.

x ≤ 8

Therefore, Omar can buy 8 bracelets.

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full question : Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir bracelets, which are $3.25 each. All prices include taxes. Which inequality can be used to solve for how many bracelets Omar can buy?

Formula. Binomial theorem:

\((x + y)^ n = C(n,0) x^{ny}^{0} + C(n,1)x^{(n-1)} \ \ y + C(n,2)x^{(n-2)} \ y^2 + ...+ C(n,n+1)xy^{(n-1)} + C(n,n)x^{0y}^n\)

So, for n = 5:

\((x + 2)^5 = C(5,0)x^5 + C(5,1)x^4 \ . \ 2 + C(5,2) x^3 \ . \ 2^2 + C(5,3)x^2 \ . \ 2^3 + C(5,4)x \ . \ 2^4 + C(5,5) \ . \ 2^5\)

So, the third term is \(\bold{C(5,2)x^3 2^2}\)

Answer:

I believe 57

Step-by-step explanation:

7 trees per 3 hours

6 hours = 14 trees

plus the 2 hours which I'm assuming 5 to 4 trees

so you multiply 19 trees per day

19 x 3 = 57 if I'm wrong please correct me :)

Robert's approximate budgeted savings ratio is 6%.

Robert's approximate budgeted savings ratio is 6%. This means that Robert plans to save approximately 6% of his income. The budgeted savings ratio is a financial metric that indicates the percentage of income an individual plans to save for future goals or emergencies. In Robert's case, out of his total income, he has allocated 6% to be saved.

Saving a portion of income is a prudent financial habit that allows individuals to build an emergency fund, save for long-term goals such as retirement, or invest in opportunities for future growth. By budgeting a specific percentage for savings, Robert demonstrates a commitment to financial planning and building a secure financial future.

Budgeting for savings helps individuals develop discipline in managing their finances and ensures that saving becomes a regular and consistent habit. It also provides a framework for tracking progress towards financial goals and allows individuals to make necessary adjustments to their spending patterns if needed.

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Answer: -0.5k+7m

Step-by-step explanation:

0.5(7k-4m)+5m-0.5(-8m-6k)

Distribute 0.5 and -0.5 to the equations in parenthesis, so 0.5(7k-4m) and -0.5(-8m-6k)

Simplify

-3.5k-2m+5m+4m+3k

Combine like terms

-3.5k+3k= -0.5K

-2m+5m+4m=7

-0.5k+7m

We are given that \(Y = 22.19 + 0.10X₁SE (8.11) (0.0098)R² = 0.92\)To examine whether the index of automobile prices affects expenditure on automobiles or not,

Against the null hypothesis, our alternative hypothesis is H₁: β₁ ≠ 0.As we are using the confidence interval approach to analyze the impact of index of automobile prices on expenditure on automobiles, the confidence interval formula is given by:β₁ ± tₐ/₂ (SE(β₁))where β₁ is the estimated coefficient of the independent variable, tₐ/₂ is the critical value from

the t-distribution table at (1 - α/2) level of confidence, and SE(β₁) is the standard error of the estimated coefficient. Assuming a 95% level of confidence, tₐ/₂ = 2.160. Hence, the confidence interval for the estimated coefficient of the independent variable is given by:0.10 ± 2.160 (0.0098) = (0.10 - 0.0212, 0.10 + 0.0212) = (0.0788, 0.1212)As we see, the confidence interval does not contain the value zero, which indicates that the index of automobile prices has a significant impact on consumer expenditure on automobiles. Therefore, we reject the null hypothesis and conclude that the index of automobile prices gives an impact to expenditure on automobiles.

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Answer:

D) 5x = 25

Step-by-step explanation:

-1+26 = 25

2x + 3x = 5x

-3y + 3y = 0

Answer:

pretty sure it is b

Step-by-step explanation:

Answer:

THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.

Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

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Answer:600

Step-by-step explanation:

300,000/ 500 =600

If the values are exclusive, then the percentage would be slightly less than 95%.

The empirical rule can be used to calculate the percentage of variables between 39 and 63, presuming that the sample is bell-shaped and regularly distributed. According to the empirical rule, given a normal distribution, 68% of the data falls under one standard deviation from the mean, 95% in a range of two standard deviations, but 99.7% over three standard deviations.

In order to apply the scientific consensus to this issue, we must first ascertain the population's mean and standard deviation. Suppose we have this data, with the mean being 50 and the average deviation being 10.

We can determine from these values who believes in between 39 and 63 are between a pair of standard deviations of their mean (39 being a deviation of one standard deviation from the mean).

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Answer:

(0,2)

Step-by-step explanation:

A solution is where the lines intersect.

Answer:

\(\huge\boxed{B.\ T>-72}\)

Step-by-step explanation:

\(\dfrac{T}{4}+8>-10\qquad|\text{subtract 8 from both sides}\\\\\dfrac{T}{4}+8-8>-10-8\\\\\dfrac{T}{4}>-18\qquad|\text{multiply both sides by 4}\\\\4\!\!\!\!\diagup\cdot\dfrac{T}{4\!\!\!\!\diagup}>(4)(-18)\\\\T>-72\)

Answer:

Step-by-step explanation:

eazy 102

Answer:

34

Step-by-step explanation:

In all right triangles, the two shortest sides squared equals the longest side squared, given by the equation \(a^2+b^2=c^2\).

We know the two shortest sides, so we can plug in

\(16^2+30^2=c^2\\256+900=c^2\\1156=c^2\\c=\sqrt{1156} \\c=34\)

Answer:

x = 5

Step-by-step explanation:

Expressing the ratio in fractional form , that is

\(\frac{9}{x}\) = \(\frac{36}{20}\) ( cross- multiply )

36x = 180 ( divide both sides by 36 )

x = 5

The phase change line, also known as the phase boundary or phase transition line, is a line on a graph that represents a change in conditions for a substance. This line shows the temperature and pressure conditions at which a substance will change from one phase to another, such as from a solid to a liquid or from a liquid to a gas.

The phase change line is represented on a graph by a diagonal line that separates two regions where the substance is in different phases. This line usually slopes upwards from left to right, indicating that higher temperatures and pressures are needed to change the substance from one phase to another.

The phase change line is an important concept in thermodynamics and is used to understand the behavior of substances under different conditions. For example, the phase change line for water shows that at normal atmospheric pressure, water will freeze at 0°C and boil at 100°C. However, at higher pressures, the freezing and boiling points will change, and water may exist in different phases, such as a supercritical fluid.

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Answer:

Solving for x : x = 3y/5 - 6/5.              Solving for y : y= 5x/3 +2

Step-by-step explanation:

Solving for x: Solve for x  by simplifying both sides of the equation, then isolating the variable.

Solving for y: Combine 5/3 and x.

You didn't say which one to solve for so I put out both for you.

Hoped this helped!

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