the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percentage change in its area.​

The intercepts of the function y = -8 are given as follows:

The function in this problem is defined as follows:

y = -8.

The function in this problem is a horizontal line at y = -8, meaning that it does not cross the x-axis, hence:

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The perimeter of a rectangle is the sum of visible lengths of the rectangle. The equivalent expressions are:

\(P = 2(4\sqrt{20} + 2\sqrt{24} + 3\sqrt 8)\)

\(P = 2(3\sqrt 8) +2(4\sqrt{20} + 2\sqrt{24})\)

\(P = 12\sqrt{2} + 16\sqrt{5} + 4\sqrt{6}\)

Given that:

\(L = 4\sqrt{20} + 2\sqrt{24}\) --- Length

\(W = 3\sqrt 8\) --- Width

The perimeter (P) of the rectangle is:

\(P = 2 \times (L + W)\)

So, we have:

\(P = 2 \times (4\sqrt{20} + 2\sqrt{24} + 3\sqrt 8)\)

\(P = 2(4\sqrt{20} + 2\sqrt{24} + 3\sqrt 8)\)

Rewrite as:

\(P = 2( 3\sqrt 8+4\sqrt{20} + 2\sqrt{24})\)

Expand

\(P = 2(3\sqrt 8) +2(4\sqrt{20} + 2\sqrt{24})\)

Further expand

\(P = 6\sqrt 8 +8\sqrt{20} + 2\sqrt{24}\)

\(P = 6\sqrt{4\times 2} +8\sqrt{4\times 5} + 2\sqrt{4\times 6}\)

Evaluate square roots

\(P = 6 \times 2\sqrt{2} +8\times 2\sqrt{5} + 2\times 2\sqrt{6}\)

\(P = 12\sqrt{2} + 16\sqrt{5} + 4\sqrt{6}\)

Hence, the equivalent expressions are:

\(P = 2(4\sqrt{20} + 2\sqrt{24} + 3\sqrt 8)\)

\(P = 2(3\sqrt 8) +2(4\sqrt{20} + 2\sqrt{24})\)

\(P = 12\sqrt{2} + 16\sqrt{5} + 4\sqrt{6}\)

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The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.

Consider the above given that

⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)

⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)

⇒\(H_{a} : \sigma^2 > 0.0004\)

The null and alternative hypothesis test statistic:

⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)

\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)

⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)

\(& =82,500 \times 0.0005 \\\)

⇒\(& \mathrm{x}^2=41.25\)

⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)

⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)

⇒p value=p(z>41.25)

⇒p value=0.1533

By using P Value from Chi-Square Calculator

⇒p value=0.1533

⇒P value >0.05

Fail to reject the null hypothesis.

Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.

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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.

\(H_{0} \\H_{a}\)

Test statistic:

The p-value is-------.

Answer:

b is the answer .

Step-by-step explanation:

a + b -b = a

Answer:

a + b - b =a

Step-by-step explanation:

a+b-b = a

because

As a normal step,

b-b =0

a + 0 =a

I AM NOT THAT GOOD AT EXPLAINING, SORRY BUT IF YOU NEED MORE EXPLANATION, I'D BE READY TO HELP.

Aliyyah

Answer:

.324

Step-by-step explanation:

.3244   if underlined digit >= 5     round the thousandth digit up o/w leave it as is  

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(2^{4-6x}=8^{1-x}\\\\2^{4-6x}=(2^{3})^{1-x}\\\\2^{4-6x}=2^{3*(1-x}}\\\\2^{4-6x}=2^{3-3x}\)

Bases are equal, so compare the powers,

4 - 6x = 3 - 3x

Subtract 3 from both sides,

4 - 3 - 6x = -3x

1 - 6x = -3x

Add 6x to both sides

1 = -3x+ 6x

1 = 3x

Divide both sides by 3

1/3 = x

x = 1/3

Answer:

Sorry for being late it is Fewer than 14.05 Hope this helps :D

Step-by-step explanation:

Answer:

The answer is "Fewer than 14.05"

Step-by-step explanation:

Answer:

Confucius ( a Chinese philosopher)

Step-by-step explanation:

Answer:

Confucius wrote the quote

Step-by-step explanation:

Honestly I think he wrote it to get across a point that is- without the common  human respect for other people,we're all nothing but "animals", and people must be courteous to one another to get anything done no matter the situation.

Answer:

4x+12

I think that's it............

Answer: 20, 40, 60, 80, 100,....

Step-by-step explanation:

Given that :

It is possible to create teams of 4 for a relay race with no student leftover

Also,

It is possible to create teams of 5 for dodgeball with no student left over from the same class

To deduce the possible number of students in the class, then the number of students should be a multiple of both 4 and 5

Multiples of 4 include = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100,....

Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,....

Multiples common to both 4 and 5 : 20, 40, 60, 80, 100,....

Answer:

The correct equation and solution for the number of people (p) is:

p/9 = 27/9; p = 27/9 * 9/1 = 27

So there are 27 people.

Step-by-step explanation:

Answer:

p/27 = 9;p = 3

Step-by-step explanation:

thats the answer

Answer:

X=-2

Step-by-step explanation:  x is negative 1/3 of y. We can tell because of this example so when you divide y=6 by negative 1/3 it makes -2!

Answer: k=-1

Step-by-step explanation:

Given:

-18 -6k=6 + 18k

Add 6k on both sides

-18 - 6k + 6k=6 + 18k + 6k

-18=6+24k

Subtract 6 on both sides

-18 - 6=6 + 24k - 6

-24=24k

Divide 24 on both sides

-24 / 24=24k /24

k=-1

Answer: k = -1

Step-by-step explanation:

Answer:

320 ft^2

Step-by-step explanation:

Answer:

h = 9 m

Step-by-step explanation:

\(V_{cone}=340\: m^3\)

diameter (d) = 12 m

\(\implies radius\:(r)= \frac{12}{2}=6\:m\)

\( \because \: V_{cone}= \frac{1}{3} \pi {r}^{2} h \\ \\ \implies \: h = \frac{3V_{cone}}{\pi {r}^{2} } \\ \\ \implies \: h = \frac{3(340)}{3.14 {(6)}^{2} } \\ \\ \implies \: h = \frac{1020}{113.04} \\ \\ \implies \: h = 9.02335456 \\ \\ \implies \: h \approx 9 \: m\)

Answer:

72

Step-by-step explanation:

You line up the decimal places (and remember 12 can look like 12.0)

Answer:

Your final answer should equal the sum of 72.

Step-by-step explanation:

23.3+12=(23+12=35)(35+.3=35.3)   35.3

35+36=71

.3+.7(from 36.7)=1

71+1=72

The approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions is 4.03

The term ratio in math defines as an ordered pair of numbers a and b, written a / b where b does not equal 0.

Here we have given that

And we need to determine the approximate speed-up ratio between pipelined and non-pipelined system to execute 100 instructions.

While we looking into the given question we have identified the following values,

=> Number of pipeline segments = stages in pipeline,

=> n = 5

Here we know that,

=> Clock cycle time per operation = clock cycle per stage = 14 ns

And the number of instructions = 100

Here the formula to calculate the startup is written as,

=> T[without pipeline] = no. of instructions × stages in pipeline × clock cycle per stage

=>  100 × 5 × 14

=> T[with pipeline] = (time for pipelined execution without stalls) + (overhead due to stalls)

=> (5 + 99) × 20 + 20 × 20 = 124 × 20

Therefore, the startup is

=> [500 x 14] / [124 x 14]

=> 4.03

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Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

In this case, the value of that car depreciates based on the function f(t)=12,000×\(0.96^{t}\) where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×\(0.96^{3/2}\)

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

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The Sales price per ticket is $31.2375.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Each ticket to a concert costs $36.75.

The tickets now cost 0.85 of their original cost.

So, the Sale price of ticket

= 36.75 - 0.85 (36.75)

= 36.75- 31.2375

= 5.5125

Thus, the sales price is $31.2375.

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The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

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Answer:

Step-by-step explanation:

1a. $80 dollars

1b.y=20x

Answer: 1A: $80

1B: y=20x

2: y=x(2.54)

3: y=5x

Step-by-step explanation:

Answer:

a = \(\frac{3+7b}{4-b}\)

Step-by-step explanation:

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Step-by-step explanation:

y = -1/2 X + 1/4

comparing with y = mx+c

m = -1/2 and m is slop

henve slope = -1/2

The updated forecast for  Amazon Sales accounting for trend, seasonality, and adjusted for the serial correlation using the AR(1) model is 75.2432 billion dollars.

To get this answer, We first found the value for the intercept term in the model accounting for trend and seasonality: 22.67 billion dollars.  then added the estimated parameter values for the time period (2.538 billion dollars) and the indicator function for quarter 3 (-8.773 billion dollars). This gave me a total of 16.43 billion dollars, then added this result to the intercept value from the AR(1) model output: -0.0856 billion dollars. This gave me a total of 16.34 billion dollars. Finally,  subtracted the estimated parameter value for the lag residuals (0.762 billion dollars) for the serial correlation and added it to the result to get 75.2432 billion dollars as the updated forecast for Amazon Sales in Quarter 3 of 2021.

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Answer:

The expression is equal to 1 over 12 factors of r

Multiplying the exponents will create an equivalent expression.

Step-by-step explanation:

We are given the following in the question:

\((r^-^4)^3\)

\((x^m)^n=x^m^n\)

\(x^-^a=\frac{1}{x^a}\)

Thus, we can simplify the given expression as:

\((r^-^4)^3\)

= \(r^-^1^2\)

= \(\frac{1}{r^1^2}\)

Thus, the correct answer is:

Option 2) The expression is equal to 1 over 12 factors of r

Option 4) Multiplying the exponents will create an equivalent expression.

Answer:

25%

Step-by-step explanation:

right on the test

The required probability of the coin landed on heads and the die landed on an even number is 25%.

Given,
Meghan flipped a quarter and rolled a standard six-sided die. The probability that the coin landed on heads and the die landed on an even number is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Sample space of coin = { head, tail } = 2
Sample space for die = { 1, 2, 3, 4, 5, 6 } = 6
favorable outcome for coin  = head = 1
favorable outcome for the die to landed on even number = {2, 4, 6} = 3

Now the probability that the coin landed on heads and the die landed on an even number is,
P = probability of head-on coin * probability of the even number on die
P =  1/2*3/6
P = 1/4
P = 0.25 and 25%

Thus, the required probability of the coin landed on heads and the die landed on an even number is 25%.

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Answer:

3:5

Step-by-step explanation:

There are 3 red marbles

5 blue marbles

SO

3:5

Answer:  3:5

Step-by-step explanation:

There are 3 red marbles and 5 blues marbles so the ratio of red marbles to blue marbles will be     3:5   or  3 to 5,  or 3/5