The coordinates below represent points that were translated.Draw a line to connect the coordinates with the correct description and algebraic representation of the translation.

Answer:

-3

Step-by-step explanation:

AD-BD=22-15=7

AB is equal to 7.

AD-AC=22-10

AB is equal to 12.

AB+CD=7+12=19.

AD-(AB+CD)=22-19=3

Answer:

3

Step-by-step explanation:

As you can see from the image attached, the length of BC = 3 because:

AC= 10m, BD=15m and AD=22m

When we add up AC + BD = 25 but the length of AD is 22, the 3 extra from the sum of AC + BD is the length of BC.

Answer:

180

Step-by-step explanation:

first you need to add ten to 80 and then it gives you 90, but tom had 100 and gave ten to Ahmad resulting in 10 more. so that means 90 x 2 = 180

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

-2c + 8d - 6

-6 + 5d - 2c + 3d

Step-by-step explanation:

When multiplying terms in a bracket, you need to multiply the term outside the bracket to all the terms in the bracket.

-\(\frac{2}{5}\)(15-20d+15c) = (-\(\frac{2}{5}\) × 15) + (-\(\frac{2}{5}\) × -20d) + (-\(\frac{2}{5}\) × 15c)

Two minuses make a plus. One minus and one plus make a minus.

(-\(\frac{2}{5}\) × 15) + (-\(\frac{2}{5}\) × -20d) + (-\(\frac{2}{5}\) × 15c) = (-6) + (8d) + (-2c)

Note that the terms can be presented in any order and still be correct.

(-6) + (8d) + (-2c) = -6 + 8d - 2c

Let us go through the options to see which ones are correct:

-2c + 8d - 6: Since all the terms are there, this option is correct!

-c + 40d - 8: Since none of the terms is there, this option is wrong.

-4c + 40d - 8: Since none of the terms is there, this option is wrong.

-3c + 8d - 3: Since (-3c) and (-3) are not the correct terms, this option is wrong.

-6 + 5d - 2c + 3d: If we evaluate the like terms (5d and 3d), the final answer would be -6 + 8d - 2c so this option is also correct!

Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.

Step-by-step explanation:

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

y = 6x - 2

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that:

m = slope = 6

b = y-intercept = -2

x = (x , y)

y = (x , y)

Plug in the corresponding numbers to the corresponding variables:

y = 6x + (-2)

y  = 6x - 2

y = 6x - 2 is your answer.

~

Answer:

y = 6x-2

Step-by-step explanation:

The slope intercept equation  form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 6x-2

Answer:

\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)

\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)

So the equation of the circle is

\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)

The function is an exponential growth function growth decay percent rate of change of the function is 110 %.

Given :

What type of exponential function is f(x)=0. 75(2. 1)^x what is the function's percent rate of change.

we know that,

exponential growth function in the form of y = a ( 1 + r )^x

on comparing both functions we get ,

1 + r = 2.1

r = 2.1 - 1

r = 21 / 10 - 1

= 21 - 10 / 10

= 11 / 10

= 1.1

converting into percentage:

= 1.1 * 100 %

= 110 %

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The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

\(\bold{GazingAtTheStars}\)

Yes, the normal distribution can be used to approximate the probability of at least 92 people.

To determine if the normal distribution can be used to solve this problem, we need to check if the sample size is sufficiently large and if the sample proportion is not too close to 0 or 1.

The sample size is not given in the problem statement, but we can assume that it is large enough for the normal distribution to be a reasonable approximation. A general rule of thumb is that the normal distribution can be used if the sample size is at least 30.

The problem states that the probability of a random person recognizing the McDonald's brand name is 0.95. We can interpret this as the sample proportion (p-hat) being equal to 0.95. The normal distribution can be used to approximate the probability of at least 92 people recognizing the brand name if the following conditions are met:

Since we can assume that the sample size is large enough, and both np >= 10 and n(1-p) >= 10, we can use the normal distribution to approximate the probability of at least 92 people recognizing the McDonald's brand name.

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Answer:

x <- x - 5

Step-by-step explanation:

Answer:

I think it's C.

Step-by-step explanation:

The Correct and Right Answer Is C

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Answer:

a=3 x= all reals

Step-by-step explanation:

I actually did not get 6 for an answer

4x+a=4x+3

cancel equal terms on both sides of the equation

a=3  

which means the x would be all reals cause it is true.

Answer:

Explanation:

Here, we want to check if Descartes is right

From what he said, the fraction has 3 in the denominator and 1 in the numerator

This can be expressed as:

It is mathematically impossible for 3 to be equal to 1/3 and as such, what Descartes said is incorrect

The (posterior) probability that the selected individual has the disease, given two positive test results, is approximately 66.04%.

To determine the posterior probability that the individual has the disease, we can use Bayes' theorem. Let's denote the following probabilities:

- P(D) as the probability of the disease (0.05 in this case),

- P(D') as the probability of not having the disease (1 - P(D)),

- P(Pos|D) as the probability of testing positive given that the individual has the disease (0.98),

- P(Neg|D) as the probability of testing negative given that the individual has the disease (1 - P(Pos|D)),

- P(Pos|D') as the probability of testing positive given that the individual does not have the disease (1 - specificity, which is 1 - 0.99 = 0.01),

- P(Neg|D') as the probability of testing negative given that the individual does not have the disease (specificity, which is 0.99).

To calculate the posterior probability, P(D|Pos1, Pos2), applying Bayes' theorem:

P(D|Pos1, Pos2) = (P(Pos1, Pos2|D) * P(D)) / P(Pos1, Pos2),

where P(Pos1, Pos2|D) is the probability of observing two positive test results given the individual has the disease.

Since the two test results are independent, we can calculate P(Pos1, Pos2|D) as the product of the individual probabilities: P(Pos|D) * P(Pos|D) = 0.98 * 0.98 = 0.9604.

Now, we need to calculate the denominator, P(Pos1, Pos2), which represents the probability of observing two positive test results, regardless of whether the individual has the disease or not.

P(Pos1, Pos2) = P(Pos1, Pos2|D) * P(D) + P(Pos1, Pos2|D') * P(D').

Since the two tests are independent, we can calculate P(Pos1, Pos2|D') as the product of the individual probabilities: P(Pos|D') * P(Pos|D') = 0.01 * 0.01 = 0.0001.

Using these values, we can calculate the denominator as:

P(Pos1, Pos2) = (0.9604 * 0.05) + (0.0001 * 0.95) = 0.04802 + 0.000095 = 0.048115.

Finally, substituting the values into the Bayes' theorem equation:

P(D|Pos1, Pos2) = (0.9604 * 0.05) / 0.048115 ≈ 0.6604.

Therefore, the (posterior) probability that the selected individual has the disease, given two positive test results, is approximately 66.04%.

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Answer:

Step-by-step explanation:

The radius is 4 cm. Not cubed, and not squared.

Formula

V = pi * r^2 * h

Givens

r = 4

h = 13

pi = 3.14

Solution

V = 3.14 * 4^2 * 13

V = 3.14 * 16 * 13

V = 653.12

Answer: the first graph (A)

Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade

Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.

Answer:

702 is the area of your first shape, 114 is the perimeter

20 is the area of your second shape, 24 for the perimeter

Step-by-step explanation:

You wanna break them down into smaller squares to find their area and perimeter.

18 * 24 = 432    (this is the area for the smaller rectangle)

9 * 30 = 270 (I got the 9 by subtrating the total length of your shape, which is 27, by that one part they gave which is 18)

270 + 432 = 702 is your area for your first shape

27 + 24 + 18 + 6 + 9 + 30 = 114 is the perimeter for your first shape

7 * 2 = 14   2 * 3 = 6   = 20 is the area for your second shape

2 + 3 + 3 + 2 + 3 + 2 + 2 + 7 = 24 is the perimeter of your second shape

Therefore, by using a representative sample and appropriate statistical methods, it is possible to estimate the difference in expected muscle mass for women whose ages differ by one year without knowing the specific ages of the individuals in the population.

It is not necessary to know the specific ages of women to estimate the difference in expected muscle mass for women whose ages differ by one year because the confidence interval is based on a population-level estimate rather than individual-specific data.

In this case, the confidence interval is constructed based on a sample of women, which provides an estimate of the average difference in expected muscle mass for women whose ages differ by one year in the population. The sample is selected randomly and is assumed to be representative of the population of interest.

By using statistical techniques, such as hypothesis testing and confidence interval estimation, we can make inferences about population parameters, such as the difference in muscle mass for women of different ages. These techniques rely on the assumption that the sample is representative of the population, rather than requiring specific individual-level information.

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A rational expression that excludes the values 2 and -2 would be (any polynomial)/(x² - 4).

A rational expression is simply a fraction with polynomials as the numerator and denominator. When the denominator of a rational expression equals 0 (because division by 0 is undefined), you get excluded values.

The numerator can be any number. It could be 1, 10000x + x² or anything that comes to mind. Any polynomial in the numerator will not produce an excluded value. We get ( x - ( - 2 ) ) and ( x - 2 ) by excluding -2 and 2. We multiply them together: ( x + 2 ) ( x - 2 ) = x² - 4.

= (any polynomial)/(x² - 4)

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Answer:

The distance between -12 and -15 is 3.

Step-by-step explanation:

hope this helps

Answer:

Vertex form: y = 3(x + 2)² + 2

Step-by-step explanation:

Given the graph of an upward-facing parabola, whose vertex occurs at point (-2, 2):

The vertex form of a quadratic equation is given by:  y = a(x - h)² + k

where:

(h, k) ⇒ vertex

h =  indicates a horizontal translation of the graph.

k =  indicates a vertical translation of the parabola.

x = h ⇒ axis of symmetry: the imaginary vertical line that divides the graph into two symmetrical parts.

a = direction of the parabola's opening; determines the wideness of the graph.

Now that we have established the necessary terms related to understanding the concept of quadratic equations, we can proceed with determining the equation of the graph.

Besides the vertex, (-2, 2), we must choose another point on the graph to solve for the value of a.  Using the point from the graph, (-1, 5), along with the vertex, substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

5 = a[-1 - (-2)]² + 2

5 = a(-1 + 2)² + 2

5 = a(1)² + 2

5 = a + 2

Subtract 2 from both sides:

5 - 2 = a + 2 - 2

3 = a

Therefore, the vertex form of the given graph of a parabola is:

y = 3(x + 2)² + 2

They have the same number of jobs after 5 years and the actual year is 2008

From the question, we have the following parameters that can be used in our computation:

7.4x - y = -254

12.2x - y = -231

Subtract the equations

So, we have the following representation

12.2x - 7.4x = -231 + 254

Evaluate the like terms

This gives

4.8x = 23

Divide both sides by 4.8

x = 4.79

Approximate

x = 5

In (a), we have

x = 5

This means that

Year = 2003 + x

Substitute the known values in the above equation, so, we have the following representation

Year = 2003 + 5

Evaluate

Year = 2008

Hence, the year is 2008

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When the value of h is revealed randomly such that h≠x and h≠g, there are only two situations that could happen: either you guess x correctly initially (i.e., g=x), or you do not.

In each situation, you have the choice to either stick with your initial guess or switch to the other remaining number.

The reasoning as to whether you should stay or switch your initial guess depends on the probabilities associated with the two events. Therefore, the best course of action can be determined by analyzing the probabilities.

Let us compute the probabilities involved:

Pr[E1]=1/6. (this is because, if the dice shows x as the outcome, then E1 event occurs).

Pr[¬E1]=5/6. (the probability of the outcome not being x, i.e., 5 of the remaining 6 values)

If the player chooses to stay with their initial guess, the probability of them winning is the same as the probability of them guessing the correct value on their first try:

Pr[E2∣E1]=1. (i.e., if E1 occurs then the probability of the second guess being correct is 1.)

Pr[E2∣¬E1]=0. (if E1 does not occur, the probability of winning with the second guess is zero)

Thus, the probability of winning if the player stays with their initial guess is:

Pr[E2]=Pr[E2∣E1]⋅Pr[E1]+Pr[E2∣¬E1]⋅Pr[¬E1]=1/6.

The probability of winning if the player decides to switch to the other remaining number is the complement of the probability of winning with their initial guess:

Pr[E2∣¬E1]=1. (i.e., if ¬E1 occurs, then the probability of winning with the second guess is 1.)

Pr[E2∣E1]=0. (if E1 occurs, the probability of winning with the second guess is zero)

Thus, the probability of winning if the player decides to switch to the other remaining number is:

Pr[E2]=Pr[E2∣¬E1]⋅Pr[¬E1]+Pr[E2∣E1]⋅Pr[E1]=5/6.

Therefore, the player should switch their initial guess because the probability of winning is higher if they switch.

In conclusion, if the value of h is revealed randomly such that h≠x and h≠g, then the player should switch their initial guess because the probability of winning is higher if they switch.

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Answer: C=22

Step-by-step explanation:

sing the formulas

A=πr2

C=2πr

Solving forC

C=2πA=2·π·38.5≈21.99557

Answer
117.95 m

Step-by-step explanation:

First, you divide C by 3.14
then divide that by "2"
after you square it (multiply it by itself)
then last you multiply by 3.14
ex.

Alessia spent $5,408 on entertainment in 2021.

To determine how much Alessia spent on entertainment in 2021, we need to work backward from the given information about her salary in 2022.

Let's assume Alessia's salary in 2021 was the same as in 2022, which is $26,000 after tax.

Since Alessia spends 35% of her after-tax salary on rent, we can calculate her rent expenditure:

Rent = 35% × $26,000

= $9,100

The remaining amount is split between food, petrol, and entertainment in the ratio 6:11:8.

To determine the ratio's total parts, we sum the individual parts:

Total parts = 6 + 11 + 8 = 25

Next, we calculate the value of one part of the ratio:

One part = ($26,000 - $9,100) / 25

= $16,900 / 25

= $676

Now, we can calculate how much Alessia spent on entertainment in 2021, which is 8 parts of the ratio:

Entertainment expenditure = 8 × $676

= $5,408

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