0.2w – 5 = 13
Solve pleaseeee I'm struggling

Answer:

12 ^ 1/2 or \(\sqrt{12}\)

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as \(\sqrt{ }\)

So the inverse of squaring 12 is

12 ^ 1/2 or \(\sqrt{12}\)

=======================================================

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

\(\sqrt{x} = x^{1/2}\)

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

\(\sqrt[n]{x} = x^{1/n}\)

which says the nth root of x is the same as x^(1/n).

1. No, a different sample would likely yield a different mean height because of inherent variability among individuals. This is due to the concept of sampling variability.'

2. False

3a. Yes

b. Yes

c. No

2. Not necessarily. The sample mean is an estimate of the population mean. While it can be a good estimate, especially if the sample is random and large enough, it's unlikely to exactly match the true mean due to sampling error.

3. a. Yes, because she measured this directly.

b. Yes, if her sample was truly random and large enough, it can be a reasonable estimate for the school's mean height.

c. No, her sample was only from her school, which may not be representative of all high schools.

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verify each option

AC is not changed -

ED is not changed

BC is changed

answer is

AC and ED

The equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation of the parabola is y = 2 · x · (x - 4).

Herein we find a representation of a quadratic function on a Cartesian plane, whose formula in vertex form is presented below:

y - k = C · (x - h)²

Where:

By direct inspection we find that the equation of the parabola has a vertex at (h, k) = (2, - 8) and the point (x, y) = (4, 0). Then, the vertex constant is:

C = (y - k) / (x - h)²

C = (0 + 8) / (4 - 2)²

C = 8 / 4

C = 2

Then, the equation of the parabola in vertex form is y + 8 = 2 · (x - 2)². The factored form of the equation is determined by algebra:

y + 8 = 2 · (x - 2)²

y = 2 · (x - 2)² - 8

y = 2 · (x² - 4 · x + 4) - 8

y = 2 · x² - 8 · x + 8 - 8

y = 2 · x² - 8 · x

y = 2 · x · (x - 4)

The factored form of the equation of the parabola is y = 2 · x · (x - 4).

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Answer:

There is a vertical Asymptote at x = 5 because \(\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty\)

There is a vertical Asymptote at x = -5 because \(\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty\)

Step-by-step explanation:

The exact question is as follows :

Given - G(x) = -7(x-5)^2(x+6)/(x-5)(x+5)

To find - Which statement make correctly uses limits determine a vertical Asymptote of G(x)

Solution -

Vertical Asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function.

Here the given function is the rational function

Denominator of G(x) = (x - 5)(x + 5)

So,

Put denominator = 0, we get

(x - 5)(x + 5) = 0

⇒x = 5, -5

∴ we get

G(x) has vertical Asymptotes at x = 5 and x = -5

Now,

At  x= 5

\(\lim_{x \to 5^{-} } G(x) = \infty\\\lim_{x \to 5^{+} } G(x) = -\infty\)

And

At x = -5

\(\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty\)

∴ we get

There is a vertical Asymptote at x = 5 because \(\lim_{x \to 5^{-} } G(x) = \infty\\lim_{x \to 5^{+} } G(x) = -\infty\)

There is a vertical Asymptote at x = -5 because \(\lim_{x \to -5^{-} } G(x) = \infty\\\lim_{x \to -5^{+} } G(x) = -\infty\)

Answer:

Step-by-step explanation: A

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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Answer:help me

Step-by-step explanation:

Answer:

x3

Step-by-step explanation:

Explanation

Step 1

Let

x represents the hours he works at the garden center

y represents the hours he coaches basketball

so, the earnings from the garden center are=12x

and the earnings from the basketabll are=18.75y

the toal earned would be

He must make at least $795 per week to cover his expenses ,so

and,he cannot work more than 55 hours per week,so

I hope this helps you

Answer:

\(\displaystyle 74,6\)

Step-by-step explanation:

You have a 6 in the tenths position, so the 4 in the hundredths position tells you to STAY at \(\displaystyle 74,6.\)

I am joyous to assist you at any time.

To approximate \(\( f'(-8.6) \),\) we can use the difference quotient with a small value of \(\( h \)\) to estimate the derivative. By substituting the given function values and simplifying, we find that \(\( f'(-8.6) \approx 110 \).\)

To approximate \(\(f'(-8.6)\),\) we can use the concept of the derivative as the instantaneous rate of change of a function. Given that \(\(f(-8.6) = 8.8\) and \(f(-\bar{a}) = -2.2\),\) we can estimate \(\(f'(-8.6)\)\) using a difference quotient.

The difference quotient is defined as \(\[f'(x) = \lim_{{h \to 0}} \frac{{f(x+h) - f(x)}}{h}.\]\) We can approximate the derivative by choosing a small value of \(h\) and evaluating the difference quotient using the given function values.

Let's choose a small value of \(\(h\),\) such as \(\(h = 0.1\).\) Substituting the given values into the difference quotient, we have \(\[f'(-8.6) \approx \frac{{f(-8.6 + 0.1) - f(-8.6)}}{0.1}.\]\)

Substituting \(\(x = -8.6\) and \(h = 0.1\)\) into the equation, we get \(\[f'(-8.6) \approx \frac{{f(-8.5) - f(-8.6)}}{0.1}.\]\)

Using the given function values, we have \(\(f(-8.5) = 8.8\) and \(f(-8.6) = -2.2\).\) Substituting these values into the equation, we have \(\[f'(-8.6) \approx \frac{{8.8 - (-2.2)}}{0.1}.\]\)

Simplifying the expression, we have \(\[f'(-8.6) \approx \frac{{11}}{0.1}.\]\)

Calculating the value, we find \(\[f'(-8.6) \approx 110.\]\)

Therefore, the approximation of \(\(f'(-8.6)\)\) is 110.

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The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

The answer is C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

got it right on edge2022

Answer:

12x + 15y < 120

Step-by-step explanation:

We don't know exactly how many items were bought, so we have to represent those numbers with letters (x and y)

Books are $12 each, so the total cost of books = 12x

DVDs are $15 each, so the total cost of DVDs = 15y

We know that some books and DVDs were bought:  12x + 15y

And the total amount spend was less than $120:  <120

So 12x + 15y < 120

Answer:

.60

Step-by-step explanation:

The values is 6 tenths

Answer:

The lost 20 yards is 20-

Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

\(d_1 = 5in\) --- diameter of front wheel

\(d_1 : d_2 = 3:1\) --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

\(d_1 : d_2 = 3:1\)

Substitute: \(d_1 = 5in\)

\(5in: d_2 = 3 : 1\)

Express as fraction

\(\frac{d_2}{5in} = \frac{1}{3}\)

Make \(d_2\) the subject

\(d_2 =5in * \frac{1}{3}\)

\(d_2 = \frac{5}{3}\ in\)

So, the circumference (C) of the back wheel is:

\(C =\pi d\)

\(C = 3.14 * \frac{5}{6}\ in\)

\(C = \frac{3.14 * 5}{6}\ in\)

\(C = \frac{15.7}{6}\ in\)

\(C = 2.62\ in\)

The sum of an infinite geometric series is given by a+ar+ar^2  where a is the first term and r is the common ratio.

The sum of the series  can be represented by :

a / ( 1 - r)  = 12

a = 12 ( 1- r )    (1)

So....note that the sum of the  terms  with odd powers of r  can be represented by :

ar  + ar^3  + ar^5 + ar^7 +  ..... + ar^(2n - 1)  =  5   (2)

And note that the sum of the  terms  with even powers of r  can be represented by :

a  +  ar^2  + ar^4 + ar^6 + ar^8 +  ..... + ar^(2n)  =  7   (3)

Multiply (2)  by r on both sides

ar^2  + ar^4  + ar^6 + ar^8 +  ..... + ar^(2n )  =  5r     (4)

Subtract   (4)  from (3)

a  = 7 - 5r    (5)

Sub (5)  into (1)

7 - 5r  = 12(1 - r)

7 - 5r  =  12 - 12r

7r = 5     →   r  =  5/7

Check

a = 7 - 5(5/7)  =  24/7

a / ( 1 - r)  =

(24/7) / ( 1- 5/7)  =

(24/7) / ( 2/7)  =

24 / 2   =

12

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You should always measure your following distance in seconds. The correct answer for measuring following distance is A.  

It is important to keep a safe distance between vehicles on the road, which is known as following distance. Measuring following distance in seconds is a more reliable method than measuring it in car lengths or feet.

The recommended following distance is typically two to three seconds. This means that when the vehicle in front of you passes a fixed point on the road, you should not reach that same point before two to three seconds have elapsed.

Measuring in seconds is more effective as it takes into account the speed at which both vehicles are traveling. If you measure in car lengths or feet, it may not be accurate as the length of the cars may differ, and it does not account for the speed of the vehicles. By measuring in seconds, you can maintain a safe distance and reduce the risk of accidents or collisions.

The correct answer for measuring following distance is A.  

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Complete question is:

You should always measure your following distance in __________

A. seconds. B. car lengths. C. feet.

Sonia Sotomayor is an Associate Justice of the United States Supreme Court. Chapter 6 of her biography delves into her professional journey and accomplishments.

In this chapter, we learn about Sotomayor's transition from a law student to a dedicated public servant, working as an Assistant District Attorney in New York County under District Attorney Robert Morgenthau.
During her time as an ADA, Sotomayor honed her skills as a prosecutor, handling complex and challenging cases. Her commitment to justice and her ability to adapt to different situations earned her a reputation as a formidable attorney. The chapter also highlights how her background and personal experiences, as well as her passion for law, contributed to her approach to legal matters.
In summary, Chapter 6 of "Who is Sonia Sotomayor?" offers a glimpse into the early stages of Justice Sotomayor's legal career, emphasizing her dedication to public service and her rise as a distinguished legal professional.

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Answer:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

Step-by-step explanation:

The positions of the letters in naming the triangles in the statement of congruent tells you which sides are congruent.

△ABC≅△EFG

Sides AB and EF are congruent

△ABC≅△EFG

Sides BC and FG are congruent

△ABC≅△EFG

Sides AC and EG are congruent

Look at the choices:

(C.) AC¯¯¯¯¯≅EG¯¯¯¯¯     is true

The given information can be expressed as follows: The probability that the first coin comes up head = p1. The probability that the second coin comes up head = 0.4.Now, we can find the probability of not getting heads in any of the tosses as follows: Prob. of not getting heads in the first toss = (1-p1)(0.6)Prob. of not getting heads in the second toss = (0.4)(0.4)The probability of not getting heads in any of the tosses = (1-p1)(0.6)(0.4)(0.4)The probability of getting at least one head in any of the tosses = 1 - (1-p1)(0.6)(0.4)(0.4)Therefore, the expected value of the number of tosses until we get at least one head is the reciprocal of this probability, which is given as follows: Expected value = [1/{1 - (1-p1)(0.6)(0.4)(0.4)}].

Using the formula for variance, we can now calculate the variance as follows: Variance = [1 - {1/{1 - (1-p1)(0.6)(0.4)(0.4)}}] / {[1/{1 - (1-p1)(0.6)(0.4)(0.4)}}]²= 1 / {[1 - (1-p1)(0.6)(0.4)(0.4)]} - 1= 1 / {1 - 0.24p1} - 1= {1 - 1 + 0.24p1} / {1 - 0.24p1}= 0.24p1 / {1 - 0.24p1}Hence, the variance of the number of tosses is 0.24p1 / {1 - 0.24p1}.

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an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is then instantly teleported to the point $(x,x)$. finally, it heads directly to $b$ at 2 units per second. what value of $x$ should the ant choose to minimize the time it takes to travel from $a$ to $b$?an ant travels from the point $a (0,-63)$ to the point $b (0,74)$ as follows. it first crawls straight to $(x,0)$ with $x \ge 0$, moving at a constant speed of $\sqrt{2}$ units per second. it is t minimize the time it takes to travel from $a$ to $b$?

Answer: 212998.58

Step-by-step explanation:

plz mark me brainliest

if the price increases 6% every year for 7 years you would have to multiply 7 by 6 which is 42 so you have to add 42% to 149,999 which is 212998.58.

Answer:

$212998.58

How I Found The Answer:

6% Would Be $8999.94

$8999.94 × 7 = $62999.58

$149999 + $62999.58 = $212998.58

Answer:

Step-by-step explanation:12-4=8

Answer:

phle follow karo yrr tab hee bat u ga,

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:

y - y, =m(x - x,)

Step-by-step explanation:

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer:

Circumcenter

Step-by-step explanation:

The locus of points equidistant from two points is the perpendicular bisector of the line segment connecting the points. The circumcenter is the point of concurrency of the three perpendicular bisectors of the sides of a triangle.

Answer: From least to greatest: -2.4, -0.8, 0.2, 0.9, 1.6. Hope this helps you! :D

Answer:

-2.4,-0.8,0.2,0.9,1.6

Step-by-step explanation:

in subtraction when there is minus sign, so the grater number will be smaller.