write (2n^2)^3 without exponents

Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Yeah, the day's high temperature is a function of it.

Any subset of a Cartesian product is a relation.

A subset of, for instance, is referred to as a "binary relationship from

These ordered pairings make up a binary relation from A to B. (a,b),

A relationship on A, more precisely, an A to B relationship."

These ordered pairs (a,b) make up a binary relation from A to B, where the first component is from A and the second component is from B.

A connection known as a function links each item in a set X to a single item in a different set Y. (possibly the same set).

A graph, which is a collection of all ordered pairs (x, f (x)), is the sole way to describe a function.

each operation

According to our question-

The graph attached in the question shows the high temperature in a city over the 10 days.

The graph shows the change in temperature as well as the change in the number of days.

Hence,  the high temperature is a function of the day.

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The measures of the angles are

MSR = 42

MSCQ = 138 degree

mSQR = 318 degrees

mQV = 42 dgerres

MSCQ + MSCR = 180

MSR = MSCR = 42

MSCQ + 42 = 180

MSCQ = 138 degree

MSQR = 360 - 42

= 318 degrees

MQV = MSR vertically opposite

= 42 degree

MQSR = 1/2 x 42

= 21 degrees

MQV = 1/2 x 180 = 90 degrees

The measures of the angles have been solved for

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Answer:

3

Step-by-step explanation:

Answer:

3 is the answer

Step-by-step explanation:

perpendicular =xcm

base =4cm

hypotenuse =5cm

By the pythagoras theorem,

p=

\( \sqrt{} \)

h^2-b^2

5^2-4^2

25-16

9

3

Answer:

D. A solid boundary line, because the values on the line should be included in the solution set.

Step-by-step explanation:

Given.

Part time = 7.25 per hour.

Mowing of Lawn = 9 each time

Required

Determine the type of boundary

From the question, we understand that x represents the number of hours he worked (part time) and y represent number of lawn he mows.

So, his earnings can be expressed as:

7.25x + 9y

The question also says that he needs to earn atleast 300

Atleast 300 means ≤ 300

So, his earnings can be fully represented as:

7.25x + 9y ≤ 300

When plotting an inequality graph that involves ≤, we make use of a solid line.

This is so, because the values on the solid line are also a part of the line equation.

From the list of given options, option D answers the question.

Random variation in a process indicates natural variation ; whereas non-random variation indicates process variation

Random variation in a process refers to the natural variation or randomness that occurs in a process due to various factors that are not controlled or predictable. For example, in a manufacturing process, random variation can be caused by factors such as differences in raw materials, operator error, or environmental conditions that are not controlled.

On the other hand, non-random variation in a process refers to the variation that is not due to chance and is likely caused by specific factors that are affecting the process. Non-random variation is also known as special cause variation. Special cause variation can be caused by factors such as a change in machine settings, a change in process parameters, or a change in the process inputs.

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Answer:

b.Commutative property is true for subtraction of Rational numbers

Step-by-step explanation:

Given:

• n = 600

• x' = 6.38 km

• s = 4.52 km

• Population mean, x = 6.00

Let's solve for the following:

• (a). What are the null and alternative hypotheses?

The null hypothesis will be: H₀: μ = 6.00 km

The alternative hypothesis will be: H₁: μ ≠ 6.00 km

Thus, we have:

H₀: μ = 6.00 km

H₁: μ ≠ 6.00 km

• (b). Determine the test statistic.

To find the test statistic, apply the formula:

Thus, we have:

Therefore, the test statistic is 2.06

• (c). Determine the P-value.

This is a two-tailed test.

Where:

Significance level, α = 0.01

Degrees of freedom, df = n - 1 = 600 - 1 = 599

With a test statistic of 2.06.

To find the P-value, we have:

The P-value is 0.04.

• (d). State the final conclusion:

Since the P-value is less greater the significance level (0.01), we fail to reject the null hypothesis H0.

Fail to reject H₀. There is insufficient evidence to conclude that the mean of the population of earthquake depths is 6.00 km is not correct.

ANSWER:

• (a). A. H₀: μ = 6.00 km

H₁: μ ≠ 6.00 km

• (b). test statistic = 2.06

• (c). P-value = 0.04

• (d). ,Fail to reject, H₀. There is ,insufficient, evidence to conclude that the mean of the population of earthquake depths is 6.00 km ,is not, correct.

Answer:

45

Step-by-step explanation:

Both angles (2x+45) and x together form a straight angle which measures 180 degrees.

Together should make you think of adding the angle measurements.

So we have that (2x+45)+x should be 180 degrees.

The equation we want to solve is:

(2x+45)+x=180

2x+45+x=180

(2x+x)+45=180

3x+45=180

3x=180-45

3x=135

x=135/3

x=45

Let's confirm that x is 45.

(2x+45) with x=45:

(2*45+45)

(3*45)

135

So (2x+45)+x at x=45 gives us:

135+45

180

Answer has been confirmed.

Answer:

\(\boxed{x = 45}\)

Step-by-step explanation:

=> \(x+2x+45 = 180\) (Angles on a straight line add up to 180 degrees)

=> \(3x+45 = 180\)

Subtracting 45 to both sides

=> 3x = 180-45

=> 3x = 135

Dividing both sides by 3

=> x = 45

Answer:

(x+6)^2+(y-7)^2= 29

Step-by-step explanation:

general exqn-> (x-h)^2+(y-k)^2=(r)^2

here, h= -6 and k=7

r= √ 29

Therefore, exqn of circle=

(x+6)^2+(y-7)^2= 29

Answer:

(x + 6)² + (y - 7)² = 29

Step-by-step explanation:

the equation of a circle in standard form is

(x - h )² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then

(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is

(x + 6 )² + (y - 7 )² = 29

Answer:

Well unfortunately I got 54,200. But maybe you can subtract that from 6630.‍♀️

Step-by-step explanation:

Answer:

Both studies used a two-sided test with a null hypothesis of p = 0.5. However, the shoe company used a larger sample size, which would result in a smaller standard error and a more precise estimate of the true proportion.

Assuming that the sample proportions are accurate representations of the true proportions, the study with the larger sample size (the shoe company) would have a smaller P-value. A smaller P-value indicates stronger evidence against the null hypothesis and in favor of the alternative hypothesis that the true proportion is different from 0.5.

Therefore, the study about shoe colors would have a smaller P-value.

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

the first step is to add 4 to both sides since we need to get x alone on one side

-2x - 4 > 8

      +4  +4

so we are left with -2x > 12

we still need to get x alone so we have to divide -2 from both sides

always remember that if you divide by a negative number the inequality flips!! so instead of > it will be <.

-2x/-2 = x

12/-2 = -6

so the answer is x < -6

Step-by-step explanation:

The answer is A

PLEASE FOLLOW ME

Answer:

1c

 \(n = 33\)

1d

 \(n = 19\)

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  \(p = 0.15\)

     The mean is  \(\mu = 5\)

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         \(X  \~ \ \ \  B(n , p)\)

and the probability distribution function for binomial  distribution is  

      \(P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}\)

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \(\mu = n* p\)

=>  \(5= n * 0.15\)

=>  \(n = 33\)

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      \(P( X \ge 1) = 1 - P( X < 1 ) > 0.95\)

=>    \(P( X \ge 1) = 1 - P( X =0 ) > 0.95\)

=>    \(P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95\)

=>    \( 1 - [1  *  1*  (0.85)^{n}] > 0.95\)

=>    \(  [(0.85)^{n}] > 0.05\)

taking natural  log of both sides

\(n = \frac{ln(0.05)}{ln(0.85)}\)

=>  \(n = 19\)

The reasoning for the third step of the proof would be "Corresponding parts of congruent triangles are congruent." Let's go through the explanation:

1. Given: Quadrilateral ABCD is a rectangle.

2. Given: AB & CD (Opposite sides of a rectangle are equal).

3. To prove: AC & BD.

To prove that AC is equal to BD, we can utilize the property that opposite sides of a rectangle are equal (step 2). In a rectangle, opposite sides are parallel and congruent. Therefore, we have AB || CD and AB = CD.

Now, we need to show that the triangles ABAD and ACDA are congruent, specifically using the SAS (Side-Angle-Side) congruence theorem. The congruence of these triangles will allow us to establish the equality of their corresponding parts, including AC and BD.

4. Given: AD = AD (Reflexive Property of Equality).

5. By step 2, we know AB = CD. Additionally, AD = AD is given (Reflexive Property of Equality).

6. By step 3, ZBAD = ZCDA.

7. Using SAS triangle congruence theorem, we can conclude that triangles ABAD and ACDA are congruent.

Finally, according to the "Corresponding parts of congruent triangles are congruent" property, we can state that AC = BD. This establishes the equality of the diagonals of the rectangle.

Therefore, the correct reasoning for step 3 is "Corresponding parts of congruent triangles are congruent."

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Answer: 18.75 lb.ft

Step-by-step explanation:

Given

Force required to stretch spring 8 in. is 18 lb

it can be written

\(\Rightarrow F=kx\\\Rightarrow 18=k(8)\\\\\Rightarrow k=\dfrac{18}{8}=\dfrac{9}{2}\ lb/in.\)

Work done in stretching from its natural length to 10 in.

\(\Rightarrow W=\dfrac{1}{2}kx^2\\\\\Rightarrow W=0.5\times \dfrac{9}{2}\times (10)^2\\\\\Rightarrow W=225\ lb.in.\ or\\\Rightarrow W=18.75\ lb.ft\)

The temperature drops by \(31\°C\) from day to night in this city.

To calculate the temperature drop from day to night in \(\°C\), we subtract the average nightly low temperature from the average daily high temperature.

Given:

Average nightly low temperature: \(-40\°C\)

Average daily high temperature: \(-9\°C\)

The temperature drop can be calculated as:

Temperature drop = Average daily high temperature - Average nightly low temperature

Substituting the given values:

Temperature drop = \(-9\°C - (-40\°C)\)

Simplifying the equation:

Temperature drop = \(-9\°C + 40\°C\)

Temperature drop = \(31\°C\)

The concept of temperature drop refers to the difference in temperature between two specific periods or conditions. In this case, we are looking at the temperature drop from day to night in a city in China known for its cold climate.

Therefore, the temperature drops by \(31\°C\) from day to night in this city.

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Answer: Infinite Solutions

Step-by-step explanation: Make the top x and y values times -2 to cancel all the variables and numbers out to get 0 = 0 so it would be Infinite Solutions.

And if you multiply by 2 you get the exact same equation.

If I am wrong let me know!

Hope this helps!  

Answer:

-2

Step-by-step explanation:

Add them up: -14

Divide by how many there are: -14 / 7 = -2

Answer:

Step-by-step explanation:

Move y  to the opposite side of the equals sign while remembering to make it negative:

y + x = z  

|_______|

x = z - y

Hope this helped. A brainliest would be very much appreciated. (I need 1 brainliest so I can level up) :)

The development that might most likely reduce the standard of living in the united states of america is U.S. factories begin to produce far fewer items. Therefore option C is correct.

This will lead to a decrease within the availability of products, resulting in higher charges. Fewer items would additionally lead to a decrease in task opportunities, that can cause a rise in unemployment.

Additionally, the decrease in production ought to result in a decline in financial increase, which could negatively impact the standard of living.

Options A and B might increase the standard of living as it'd cause better get admission to to healthcare and better wages respectively. option D won't have a sizable impact on the same old of living as it is related to the economic system.

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Divide hours spent in tap class by the percentages:

4 / 0.20 = 20 hours

Her total number of hours for dance classes is 20 hours per month.

The order of the given fractions will be 5/3>3/2>5/6.

What exactly is a fraction?

A fraction is a mathematical term that represents a portion or part of a whole. It represents the equal parts of the whole. A fraction has two components: the numerator and the denominator. The top number is referred to as the numerator, while the bottom number is referred to as the denominator. The denominator describes the total number of equal parts in a whole, whereas the numerator defines the number of equal parts taken.

5/10, for example, is a fraction.

In this case, 5 is the numerator and 10 is the denominator.

Now,

Given fractions are 5/6 ,5/3,  3/2

lets make the denominator same

Divide and multiply fraction 2 and 3 by 2 and 3 respectively

then fractions are 5/6, 10/6, 9/6

so, the order will be 10/6>9/6>5/6 i.e. 5/3>3/2>5/6

hence,

           The order of the given  fractions will be 5/3>3/2>5/6.

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Adding and subtracting with negative numbers

First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:

If both numbers are positive, then the answer is positive.

If both numbers are negative, then the answer is negative.

If the numbers have different signs, the answer takes the sign of the higher number.

Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.

Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.

Answer:

- L < 1, so by series ratio test, It is convergent

- sum of the convergent series is 49

Step-by-step explanation:

Given the data in the question;

series = 7 + 6 + 36/7 + 216/49 + .........

⇒ 7 + 7 × 6/7 + 7 × 36/49 + 7 × 216/343 +........

⇒ 7 + 7 × 6/7 + 7 × 6²/7² + 7 × 6³/7³ .....

⇒ 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

⇒ 7 ∞∑_\(_{n=0\) \((\) 6/7 \()^n\)

⇒ ∞∑_\(_{n=0\) ( \(6^n\)/\(7^{n-1\) )

So, L =  \(\lim_{n \to \infty} | \frac{a_{n} + 1}{a_n} |\)

= \(\lim_{n \to \infty} | \frac{\frac{6^n+1}{7n} }{\frac{6^n}{7^n-1} } |\)

= \(\lim_{n \to \infty} | \frac{6}{7} |\)

= 6 /7

L < 1

so by series ratio test,

It is convergent

So we find the sun;

Sum of  infinite geometric series is;

⇒ a / (1-r)

here, a = first number and r = common ratio

∑ = 7( 1 + 6/7 + 6²/7² + 6³/7³ + ..... )

a = 1 and r = 6/7

so

∑ = 7( \(\frac{1}{1 - \frac{6}{7} }\) )

= 7( \(\frac{1}{\frac{7-6}{7} }\) )

= 7( \(\frac{1}{\frac{1}{7} }\) )

= 7( 7 )

= 49

Therefore, sum of the convergent series is 49

Answer:

Below

Step-by-step explanation:

That will shift the graph UP  k units

Answer:

3/11 because the other guy said it

Answer:

x = 10 (yes)

x = 14 (yes)

x = 6 (no)

x = 4 (no)

Step-by-step explanation:

Plug in each x value into the function and determine if it is true or not.

44 \(\leq\) 35 + x

44 \(\leq\) 35 + (10)

44 \(\leq\) 45

45 is greater than or equal to 44, so it is a solution

44 \(\leq\) 35 + (14)

44 \(\leq\) 49

49 is greater than or equal to 44, so it is a solution

44 \(\leq\) 35 + (6)

44 \(\leq\) 41

41 is not greater than or equal to 44, so it is not a solution

44 \(\leq\) 35 + (4)

44 \(\leq\) 39

39 is not greater than or equal to 44, so it is not a solution

I hope this helps! :)