If trianglePQR congruent to triangleTSR, what are the congruent corresponding parts?


PLEASE!! I'LL MAKE BRAINLIEST

The solution is, the salary of the Luke after 10 years is 98000 dollars & the salary of the Luke after t years is 53000+4500t .

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

Given data:

* The starting salary of the Luke in the new company was,

S1 = 53000

* The salary raise given to Luke each year is,

R = 4500

(a). The salary of the Luke after 10 years is,

S = S1 +R*10

S  = 53000 + ( 4500* 10)

S = 98000

Thus, the salary of the Luke after 10 years is 98000 dollars.

(b). After the t years,

S = S1 +R*t

S  = 53000 + ( 4500* t)

S = 53000+4500t

Thus, the salary of the Luke after t years is 53000+4500t .

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The constant of proportionality that relates the number of cups of cereal, y, to the number of cups of pretzel sticks, x is y= 5/2x.

We have,

A snack mix recipe calls for 10 cups of cereal and 4 cups of pretzel sticks.

Using constant of proportionality

y = kx

where k is the constant

So, put y= 10 and x= 4 then

10 = k (4)

k = 10/4

k= 5/2

Thus, the constant of proportionality is 5/2.

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Answer:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2} = 1024\)

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Constant]:                                                                                             \(\displaystyle \lim_{x \to c} b = b\)

Limit Rule [Variable Direct Substitution]:                                                             \(\displaystyle \lim_{x \to c} x = c\)

Limit Property [Addition/Subtraction]:                                                                   \(\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)\)

L'Hopital's Rule

Differentiation

Basic Power Rule:

Step-by-step explanation:

We are given the following limit:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2}\)

Substituting in x = 2 using the limit rule, we have:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2} = \frac{2^8 - 256}{2 - 2}\)

Evaluating the result, we get an indeterminate form:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2} = \frac{0}{0}\)

Since we have an indeterminate form, let's apply L'Hopital's Rule. Differentiate both the numerator and denominator respectively:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2} = \lim_{x \to 2} \frac{8x^7}{1}\)

Simplify:

\(\displaystyle \lim_{x \to 2} \frac{x^8 - 256}{x - 2} = \lim_{x \to 2} 8x^7\)

Evaluate the limit using the limit rule:

\(\displaystyle \lim_{x \to 2} 8x^7 = 8(2)^7\)

Simplify:

\(\displaystyle \lim_{x \to 2} 8x^7 = 1024\)

And we have our answer.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer:

Nothing

Step-by-step explanation:shahhahhahahahhaha

The surface area of the pyramid is 980  in²

The surface area of the pyramid is given by A = 4A' + A" where

Now, A' is a triangle. So, A' = 1/2bh where

Now using Pythagoras' theorem h = √(H² + (b/2)²) where H = height of pyramid and b = base of triangular face.

So, A' = 1/2bh

= 1/2b√(H² + (b/2)²)

Also, since A" is a square is A" = b²

So, A = 4A' + A"

= 4[1/2b√(H² + (b/2)²)] + b²

= 2b√(H² + (b/2)²) + b²

Given that

Substituting the values of the variables into the equation, we have that

A = 2b√(H² + (b/2)²) + b²

= 2(20 in)√((10.5in)² + (20 in/2)²) + (20in)²

= 40 in√((110.25 in² + 100 in²) + 400in²

= 40 in√((210.25 in²) + 400in²

= 40 in(14.5  in) + 400in²

= 580  in² + 400in²

= 980  in²

The surface area is 980  in²

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The sale price of the car as a percentage of the original price is 142%

Sale price as a percentage of the original price = sale price / buying price

= 1280/900 × 100

= 1.42222222222222 × 100

= 142.22%

Approximately,

142%

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Answer:

A is correct 2/25.

Step-by-step explanation:

Thats what answer I got from doing the math

Debt is usually expected in all of the following cases except for option A, which is the purchase of a house.

Debt refers to an amount of money that is owed by one party (the borrower) to another party (the lender). It can be incurred through borrowing money, using credit cards, or other forms of financing. Debt can take many different forms, including personal loans, mortgages, credit card balances, student loans, and other types of financial obligations.

Debt is usually expected in all of the following cases except for option A, which is the purchase of a house. Purchasing a house with a mortgage involves taking on debt, but it is often considered a necessary and responsible investment for many people. The other options - credit card purchases, purchasing a car, and educational loans - often involve taking on debt as well, but they are not typically seen as long-term investments like a house.

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Answer:

74°

Step-by-step explanation:

LMN is a central angle so LMN = LN

LN = 74°

LMN = 74°

Answer:

His average speed is

12 km/hr

.

Step-by-step explanation:

Remember the triangle of Speed, Distance and Time. If you remember it, you'll ace these kinda questions.

I had trouble with these formulas but the triangle helped me a LOT! Anyways, let's get back to the question. The formula for average speed is pretty much the same as the formula for just speed. The average speed formula is

Average speed

=

Total Distance

Total Time

So......

48 km

4 hr

=

12 km/hr

My source

I hope this explanation helps you!

The denominator 6 in 3/6 is should not be changed when adding fractions if other fractions have a denominator of 6, to make the addition easy because 6 will be the lowest common multiple.

One of the reasons why the denominator will always stay the same when adding fraction is because the size of the equal pieces does not change when you combine the two fractions together.

For example say you want to add 3/6 + 1/6 + 2/6,

you will notice that all the fractions have equal denominator, so adding the fractions together will have the following result.

3/6 + 1/6 + 2/6 = (3 + 1 + 2 ) / 6

= 6/6

= 1

So the 6 in 3/6 should not be changed if all other fractions you wish to add to 3/6 have 6 as their denominator, because the 6 is lowest common multiple.

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Zimbardo did not use a control group. Experiments are performed to reach meaningful conclusions using the appropriate research method. The correct answer is (A).

Experiments whether they are done in natural settings or in a controlled environment need to follow certain ethics. But the Stanford Prison Experiment is an exception. In this experiment, Philip Zimbardo, the Stanford psychologist, took paid participants and asked them to be “guards” in a mock prison at Stanford University.

As soon as the experiment began, the “guards” began mistreating the “prisoners,” in order to provoke evil circumstantially. The conclusion of the study suggested innocent people, thrown into a situation where they have power over others, will begin to misuse that power. And people who are put into a situation where they are powerless will be driven to submission.

The Stanford Prison Experiment has proved to be a Fraud. Philip Zimbardo, the Stanford psychologist who did the experiment, and interviews of the participants, offers convincing evidence that the guards in the experiment were trained to be cruel. This proves that the experiment’s most memorable moment of a prisoner screaming out of rage and proclaiming, “I’m burning up inside!” was the result of the prisoner's acting skills. Many of them think of this study as more of a dramatic demonstration with no real outcomes. The Zimbardo prison experiment is a classic study that has been recently reevaluated and exposed as a fraud.

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Answer:

y=70 x=20

Step-by-step explanation:

Answer:

The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).

Step-by-step explanation:

x y = x + 2 Ordered pair

0 0 + 2 = 2 (0, 2)

1 1 + 2 = 3 (1, 3)

2 2 + 2 = 4 (2, 4)

this is probably not right but i gave an an example

:)

Answer:

{x,y}={6,-2}

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 5y = 8

  [2]    2x - 5y = 22

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    2x = 5y + 22

 [2]    x = 5y/2 + 11

// Plug this in for variable  x  in equation [1]

  [1]    3•(5y/2+11) + 5y = 8

  [1]    25y/2 = -25

  [1]    25y = -50

// Solve equation [1] for the variable  y

  [1]    25y = - 50

[1]    y = - 2

// By now we know this much :

   x = 5y/2+11

   y = -2

// Use the  y  value to solve for  x

 x = (5/2)(-2)+11 = 6

Graphic Representation of the Equations :

The answer should be: {x,y}={6,-2}

To test the belief that the average tenure of a U.S. worker is 4.6 years, we can conduct a one-sample hypothesis test. Let's define the null hypothesis (H₀) and the alternative hypothesis (H₁):

H₀: The average tenure of a U.S. worker is 4.6 years.

H₁: The average tenure of a U.S. worker is not equal to 4.6 years.

To perform this test, we need a sample of worker tenures. We can collect data on the tenure of a representative sample of U.S. workers. Once we have the data, we can use Excel to calculate the necessary statistics and conduct the hypothesis test.

In Excel, we can use the T.TEST function to perform the one-sample t-test. The function takes the sample data, the expected mean (4.6 years), and the type of test (two-tailed in this case). It returns the p-value, which represents the probability of obtaining a sample mean as extreme as the one observed, assuming the null hypothesis is true.

We compare the p-value to a predetermined significance level (e.g., α = 0.05) to determine if we reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the average tenure is significantly different from 4.6 years. Otherwise, if the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference.

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Answer:

\({ \tt{ \frac{1}{x} + \frac{1}{3} < \frac{1}{5} }} \\ \\ { \tt{ \frac{1}{x} > - \frac{2}{15} }} \\ \\ { \tt{x > - \frac{15}{2} }} \\ \\ { \bf{ - \frac{15}{2} < x < 0 }}\)

A graph of the system of inequalities is shown in the image attached below.

The region that represents the combinations of balloons and streamers that Tamara can purchase is the shaded region that contains the point (1, 3).

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of balloons and number of streamer rolls respectively, and then translate the word problem into algebraic equation as follows:

Since one package of balloons costs $4.50 and streamers are $1.50 per roll, and Tamara wants to spend no more than $15 on decorations, a linear inequality to describe this situation is given by:

4.50x + 1.50y ≤ 15.

Additionally, Tamara knows she will be buying at least 2 rolls of streamers;

y ≥ 2

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Answer:

8

Step-by-step explanation:

2^3

It is two multiplied by itself 3 times

2*2*2

8

Answer:

8

Step-by-step explanation:

To find the mean, or average of a data set, add all the values together, then divide by the number of values.

The data set is: 6,7,9,9,9

1. Add all the values

Add 6,7,9,9 and 9

6+7+9+9+9

40

2. Divide by the number of values

Count how many numbers are in the data set. In this case, there are 5 numbers.

Divide 40 by 5.

40/5

8

The mean of the data set is 8.

Steps:

Mean x:  8

Median x:  9

Mode:  9

Range:  3

Minimum:  6

Maximum:  9

Count:  5

Sum:  40

1:  6+7+9+9+9

2: =40

3: 40 divided by 5

4: = 8

Description:

The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.

5 is the total numbers there

Please mark brainliest

Hope this helps.

Answer:

y=0.68x + 0.22

Step-by-step explanation:

HOPE THIS HELPS :)

Answer:

That is a quadratic equation in which

a = 1

b = 6

c = 3

The quadratic formula is:

x = [-b +- sqr root (b^2 -4*a*c)] / 2*a

x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2

x1 = [-6 + sqr root (24)] / 2

x2 = [-6 - sqr root (24)] / 2

Step-by-step explanation:

Answer:

\(x=-6\)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

Plug in all known points and variables:

\(\frac{1}{5} =\frac{(3-4)}{(x--1)}=\frac{-1}{(x+1)}\)

Multiply both sides of the equation by (x+1):

\(\frac{(x+1)}{5} =-1\)

Multiply both sides by 5:

\(x+1=-5\)

Subtract 1 from both sides:

\(x=-6\)

Step-by-step explanation:

\(\huge{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}\)

one flower pot can fill=30g

we have 9kg=9000g.

so,

9kg soil fill=

\(\rightsquigarrow\) \(\tt{\dfrac{9000}{30} }\) ⠀

\(\rightsquigarrow\) \(\tt{ \dfrac{\cancel{9000}}{\cancel{30}} }\) ⠀

\(\rightsquigarrow\) \(\tt{300 }\) ⠀

so,

300 pieces 30g flower pot can pack 9kg soil.

Answer:

180°

Step-by-step explanation:

You can find the sum of interior angles in a shape by the formula (n-2)*180°, n being the number of sides. By substituting we get (3-2)*180°=1*180°=180°.

Answer:

Find the answers in the explanation

Step-by-step explanation:

The given function is

f(x)=475-15x

A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,

Y = 475 - 15x

Interchange y and x and make y the subject of formula

X = 475 - 15y

-15y = x - 475

Y = 475/15 - x/15

Y = (475 - x) / 15

Therefore,

f^-1(x) = (475 - x) / 15

If the function depreciates the smartphone, then, the inverse function will appreciate it.

When will the deprecated value of smart phone be less than $100.00

Substitute 100 for f(x) and find x

100 = 475 - 15x

-15x = 100 - 475

-15x = - 375

X = 375/15

X = 25

Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.

what does x represent in f^-1(x) =30?

X represent the number of months for the smartphone appreciations

What is the value of x?

Substitute the inverse function for 30 and make x the subject of formula in the equation

f^-1(x) = (475 - x) / 15

30 = (475 - x) / 15

Cross multiply

450 = 475 - x

X = 475 - 450

X = 25 months

Graph f(x) and f^-1 (x) on the same coordinate

same too you and good luck and keep going

Answer:

Great Thanks you too

Step-by-step explanation:

The assertion that both zeros of the quadratic polynomial x² - 2kx +2 in magnitude but opposite in sign then value of k is 1/2 is false.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The sum of the roots of a quadratic function is given as follows:

S = -b/a.

The equation in this problem is given as follows:

x² - 2kx +2

Hence the parameters are:

a = 1, b = -2k.

If the roots are equal in magnitude but the opposite sign, the sum of the roots is of:

0.

Hence:

-b/a = 0.

b = 0.

Meaning that the value of k is obtained as follows:

-2k = 0.

k = 0.

And the statement is false.

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Answer:

the number c is 37

Step-by-step explanation:

The computation is shown below

If a number 629 is divided by the number c that equals to 17

So,

629 ÷ number c = 17

Now the number c is

= 629 ÷ 17

= 37

Hence, the number c is 37