Kite ABCD is translated (x − 2, y + 3) and then rotated 90° about the origin in the counterclockwise direction. Complete the table to show the locations of A″, B″, C″, and D″ after both transformations. I need help

Answer:

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Step-by-step explanation:

The radioactive decay of a substance is given by the following formula:

[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]

Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:

[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]

[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]

[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]

Therefore the mass of the element is given by:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]

If the initial mass is 760 g and the final mass is 15 g, we have:

[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]

The time it'd take for the element to have 15 g of mass is approximately 68 min.

Answer:

y= 1/2x + 2.5

Step-by-step explanation:

We already have the point-slope form of the line.

Convert into Slope Intercept form:

y-3=1/2(x-1)

[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]

Answer:

B

Step-by-step explanation:

Rolling dice is simple, but it definitely isn't an event.

Answer:

the 2nd

Step-by-step explanation:

[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]

Answer:

The next answer is 6x^4

Step-by-step explanation:

Answer:

The correct answer is (x)² + (y)² = r².

Step-by-step explanation:

The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.

Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.

Therefore, your equation is x² + y² = 25.

Answer:

4,5,6

Step-by-step explanation:

(x)+(x+1)+(x+2)= 15

3x + 3 = 15

3x = 12

x = 4

Answer:

Three consecutive numbers are: 4, 5, 6,

Step-by-step explanation:

Let three consecutive numbers be x , (x +1) ,  (x +2 )

x + x + 1 +x + 2 = 15

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Three consecutive numbers are: 4, 5, 6,

Answer:

Here is what I think:

Addition and Multiplication are very similar. Multiplication is just repeated addition. If you do 3*2 its just adding 3, 2 times to each-other. The same goes for division. Its repeated subtraction. 15/3 If you subtract 3 from 15 how many times can you do it. There are also differences though. Multiplication is usually used to calculate different things though. It can calculate area and volume while addition usually doesn't. Division is used to find how much of something can fit into something. But subtraction usually is only used for subtracting other things. Those are similar things and different things for this.

Answer:

(0, -1/2)

Step-by-step explanation:

Rewrite this as y = -2x^2.  Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.

Comparing y = -2x^2 with

                   y = 4px^2, we see that 4p = -2, or p = -1/2.

The focus of this parabola is below the x-axis:  (0, -1/2).

Answer:

1.17B

Step-by-step explanation:

Katie and her friends will pay 17% of the bill, B.

Therefore, we have to add 17% of B to B to find how much they will pay:

17/100 * B = 0.17B

Therefore, the total bill will be:

Bill + tip

= B + 0.17B = 1.17B

The expression that represents the total bill they will pay is 1.17B

Step-by-step explanation:

Probability

Probability is a measure of the likelihood that an event will happen.

When dealing with probability, the outcomes of a process are the possible results. For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

Probability =

Answer:

V=56.52

Step-by-step explanation:

v=1/3(3.14)( r^2) (h)

V=1/3(3.14) (9)(6)

V=56.52

Answer:

The correct answer is 18π cubic inches

Step-by-step explanation:

I just took the test and I got the answer correct, I hope this will help you! :)

Answer:

Step-by-step explanation:

Two matrices A and B are said to be equal if both matrices have the same number of rows and columns. Given the following matrices

[tex]A = -2\left[\begin{array}{ccc}-6&4\\3&7\\12&10\end{array}\right] \\multiplying\ the \ matrix\ through\ by\ -2\ will\ give\\A = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right] \\\\\\B =3 \left[\begin{array}{ccc}-2&2&8\\8&5&6\end{array}\right] \\B = \left[\begin{array}{ccc}-6&6&24\\24&15&18\end{array}\right] \\\\\\D = \left[\begin{array}{ccc}12&-8\\-6&-14\\-24&-20\end{array}\right][/tex]

From the above matrices, it can be seen that matrix A and C both has 3 rows and 2 columns each which matrix b has 2 rows and 3 columns.

Based on the conclusion, it can be seen that matrices A and D are equal since they have the same number of rows and columns

The pattern is attached in the image provided with the work.

I have started off listing 4 terms and then 3 blanks

so we can study the pattern and find the next few terms.

Here, notice that the difference between -5 and 1/2 and -5 is +1/2.

The difference between -5 and -4 and 1/2 is +1/2

and the difference between -4 and 1/2 and -4 is +1/2.

Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.

-3 and 1/2 + 1/2 will be equal -3

and -3 + 1/2 will be equal to -2 and 1/5.

Answer:

A = 2 1/2 ft^2

Step-by-step explanation:

The area of a rectangle is given by

A = l*w

A = 3 * 5/6

A = 5/2 ft^2

A = 2 1/2 ft^2

Answer:

A=2.5 ft^2

Step-by-step explanation:

A=3

A=3(5/6)

A=2.5 ft^2

Answer:

[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Apply the correct formula to check whether two events are independent or not

If the events A and B are independent, then:

P(A) x P(B) = P(A⋂B)

The formula of conditional probability:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

Step 2: Perform the calculation

a)

P(A) x P(B) = (1/6) x (1/4) = 1/24

P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

b)

P(A) x P(B) = (1/2) x (1/4) = 1/8

P(A⋂B) = 1/8

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

c)

P(A) x P(B) = (1/2) x (1/6) = 1/12

P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

d)

P(A) x P(B) = (1/3) x (1/6) = 1/18

P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

Hope this helps!

:)

Answer:

The error of his estimate was $25.

Step-by-step explanation:

The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:

[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]

The error of his estimate was $25.

Answer:

C

Step-by-step explanation:

i got itright

Answer:

explained below

Step-by-step explanation:

Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.

In the image I leave an example of the use of scientific notation in this area

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Answer:

All A. B. C. D.

Step-by-step explanation:

A B C D are all the correct answers

¯\_(ツ)_/¯

Answer:

3c + 3

hope this helps.

Answer:

3c + 3

and

2c  + c + 3

Answer:

Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour  Option (B)

Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour

Answer: 176 free throws

Step-by-step explanation: 4/5 = 80% 80% of 220 = 176

Answer:

4

p= √(y-qr)

Step-by-step explanation:

y=p² +qr

p= -5, q=3, r= -7

p²= y - qr

p= √(y-qr)

Answer:

X-3, not sure. Try that.

Answer:

[tex]3(x - 1)[/tex]

Step-by-step explanation:

Thinked number = x

take away = -1

[tex]x - 1[/tex]

multiply it by 3

[tex]3(x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

the answer is D

Step-by-step explanation:

Because of how the students grade ar goung not down but up were the y or x

The scatterplot that shows that Wyatt is not always right to say that a straight line shows a relationship between two variables is the graph attached.

The only time a straight line can be said to be proof that two variables are related is when this straight line is diagonal as it shows correlational change.

If the straight line is vertical or horizontal as shown attached, it means that there is no relationship because one variable is not changing when the other one does.

Find out more on straight-line relationships between variables at https://brainly.com/question/1078661.

#SPJ2

Answer:

Arrange the variables to y intercept form: y=-x+2. We have the slope is -1, and the y intercept is 2. You should be able to draw a line from here.

Step-by-step explanation:

Step-by-step explanation:

Well they made 19 clay, where 12 were vases. That means 7 were not vases. She randomly chooses 16 clay objects, which then also means 3 were left behind. so if the vases are  12/19, which is approximately 63%, then 63% of the objects are vases. Makes sense, right? Well now we need to multiply that by the initial 11 in the question. After all of this work..

Answer: 6.9474 or 6.94736.

Please mark as Brainliest.