A triangle is dilated using a scale factor of 3. The image is then dilated using a scale factor of 12. What scale factor could you use to dilate the original triangle to get the final image?

Answer:

The answer is \(y = x + 6\)

A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 196 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.04 cm. He knows that the population standard deviation is 0.26 cm.

Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines?

Step 1: Null and Alternative HypothesisThe null hypothesis (H0): The machine does not need recalibration after testing 196 bolts.The alternative hypothesis (H1): The machine needs recalibration after testing 196 bolts.

Step 2: Determine the level of significance level of significance (α) = 0.02

Step 3: Find the critical valueThe level of significance is 0.02, which indicates that the critical value is zα/2 = ±2.33 using the z-table.

Step 4: Calculate the z-test statistics = (x - μ) / (σ/√n) = (4.04 - 4.00) / (0.26 / √196)z = 4.0

Step 5: Determine the p-values-value = P (Z > 4) ≈ 0Using the p-value approach, if the p-value is less than the level of significance, reject the null hypothesis.

In this case, the p-value is almost 0, indicating that there is a statistically significant difference between the sample mean and the hypothesized population mean of 4.0 cm.

Step 6: Conclusion Since the p-value is less than the level of significance, we can reject the null hypothesis and accept the alternative hypothesis. It implies that the machines need recalibration as there is sufficient evidence to suggest that the bolts' mean length is more significant than the required specification of 4.00 cm.

Therefore, the manufacturer should recalibrate the machine to ensure that the bolts' length is within the required specification.

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Answer: b

Step-by-step explanation: the answer is got was 1.166666

Answer:False

Step-by-step explanation:

Answer:

3(x^y(5x^2y-x³)+25x⁴))

Step-by-step explanation:

15x^2y²-3x^3y+75x⁴

From 15x^2y²-3x^3y only, 3x^y is the common factor

=> 3x^y(5x^2y-x³)+75x⁴

Taking the common factor of the latter expression, 3 shows to be the common factor of all the expression.

=> 3(x^y(5x^2y-x³)+25x⁴)

Answer:

Additive inverse : j(x) = -x + 24

Multiplicative inverse : k(x) = 1/x-24

Step-by-step explanation:

I literally have no idea how, I got this answer off of quizlet :) have a good day.

The additive inverse and multiplicative inverse is -x+24 and 1/x-24.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

The multiplicative inverse is a number is a value of which when multiplied by the original number, results in 1.

Given

h(x) = x - 24

The additive inverse and multiplicative inverse.

h(x) = x - 24 is given,

Additive inverse simply means changing the sign of the number and adding it to the original number, then

h'(x) = -x + 24, on adding

h(x) + h'(x) = x - 24 - x + 24 = 0

The multiplicative inverse is a number is a value of which when multiplied by the original number, then

\(\rm h'(x) = \dfrac{1}{x - 24}\), on multiplying we get,

\(\rm h(x) * h'(x) = (x-24)\dfrac{1}{x - 24} = 1\)

The additive inverse and multiplicative inverse is -x+24 and 1/x-24.

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Answer:

B 100%

Step-by-step explanation:

Answer:

pushing p turn me up p yea

It can be said that the percentage is 6 of the squares have shops.

What are Percentage?

A percentage is a fraction of a whole expressed as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

We know that there are 100 blocks/squares and there are 6% of the community with shops so

All we have to calculate is 6% of 100

6/100 * 100 = 6

So, it can be said that 6 of the squares have shops.

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Step-by-step explanation:

Notice the prime factorization of 80,

\(80=2^4\times 5\)

Therefore, 2 and 5 are the prime factors of 80.

Answer:

Prime factor of 80 is 2 and 5.

Step-by-step explanation:

Hope it helped.

Answer:

5x^2 + x + 7.

Step-by-step explanation:

6x^2 + 7 + x - x^2

= (6x^2 - x^2) + (x + 7) // Rearranging the terms

= 5x^2 + x + 7

So, 6x^2 + 7 + x - x^2 simplifies to 5x^2 + x + 7.

The true statements are,

π is irrational because π is a repeating decimal.

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

7√ is rational because 7 is not a perfect square.

Irrational number are real numbers that cannot be expressed as a ratio of two integers.

Now we have,

→π is irrational because π is a repeating decimal.

Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

Hence π is irrational.

⇒This statement is true.

→√7 is irrational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→7.1234… is irrational because it is a non terminating, non repeating decimal.

Since,the value of decimal in 7.1234… goes on forever and repeating.

Therefore,7.1234… is irrational.

⇒This statement is true.

→√7 is rational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→π is irrational because π is not a repeating decimal.

π is irrational because  the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

⇒This statement is false.

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Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

yes

Step-by-step explanation:

because it has a vertex (-5,6) and y values repeat

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

Answer:

4 is the unit rate

Step-by-step explanation:

Answer:

273/6 feet is tall when work is complete

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

Step-by-step explanation:

\(21 - 15 \div 3 \\ \)

Area of sector would be,

⇒ Area of sector = 102.6 feet squared

We have to given that,

Radius of circle = 14 ft

Angle θ = 60°

Now, We know that,

Area of sector = [θ/360]πr²

Where, r is radius of circle.

Hence, We can substitute all the values, we get;

Area of sector = [θ/360]πr²

Area of sector = [60/360](22/7)(14)²

Area of sector = [1/6][22/7][196]

Area of sector = 102.6 feet squared

Thus, Area of sector would be,

⇒ Area of sector = 102.6 feet squared

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Answer:

y = 14

Step-by-step explanation:

y = k\(\sqrt{x}\)  Solve for k

7 = k\(\sqrt{9}\)

7 = k3  Divide both sides by 3 to solve for k

\(\frac{7}{3}\) = k  

y = kx

y  = \(\sqr\frac{7}{3} }\)\(\sqrt{36}\)

y = \(\frac{7}{3}\)(6)

y = 14

\(\frac{7}{3}\)\((\frac{6}{1})\) is the same thing as \(\frac{7}{1}\)\((\frac{2}{1})\)  I cross canceled the 3 and the 6

\(\frac{14}{1}\) = 14

Answer:

67 degrees

Step-by-step explanation:

Its the same measurement as PMN

Hope it helps :3

Answer:

B

Step-by-step explanation:

3/5 == 0.6

Which part of the line is 0.6?

A < 0.5 so there's no way A can be the answer.

C > .75 so it can't be the answer either.

D > 1.5 so it can't be the answer either.

B is the only answer left and it sits just right in front of 0.5, which is close to 0.6.

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Answer:

We can start by using the information provided to calculate how many laptops of each size the company can manufacture within the 480 hours available:

15-inch laptops: 480 hours / 3 hours per laptop = 160 laptops

17-inch laptops: 480 hours / 5 hours per laptop = 96 laptops

With the 480 hours available and the number of laptops that can be manufactured, we can calculate the total amount of memory that can be used:

15-inch laptops: 160 laptops x 256 GB per laptop = 40,960 GB

17-inch laptops: 96 laptops x 512 GB per laptop = 49,152 GB

Since the company has 43,520 GB of memory available, it can manufacture:

15-inch laptops: 43,520 GB / 256 GB per laptop = 170 laptops

17-inch laptops: 43,520 GB / 512 GB per laptop = 85 laptops

The company can manufacture 170 15-inch laptops and 85 17-inch laptops.

Now, we can calculate the profit that the company can make:

15-inch laptops: 170 laptops x $2000 per laptop = $340,000

17-inch laptops: 85 laptops x $3000 per laptop = $255,000

So, the company can make a total profit of $595,000 from the 170 15-inch laptops and 85 17-inch laptops.

The company can manufacture 170 15-inch laptops and 85 17-inch laptops, and make a total profit of $595,000.

Step-by-step explanation:

Answer:

34(8)

Step-by-step explanation:

Step-by-step explanation:

Leyes conmutativas. ...

- Leyes asociativas. ...

- Leyes distributivas. ...

- Leyes de idempotencia. ...

- Leyes de Morgan.