If a translation maps point A(-3,1) to point A'(5,5), the translation is:OA. (x+8, y + 4)OB. (x+2, y + 4)Oc. (x+2,y+6)OD. (x+8, y + 6)

The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping

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

4x³ - 2x² + 8x - 4

Group the expression in 2's

So, we have

(4x³ - 2x²) + (8x - 4)

Factorize each group

2x²(2x - 1) + 4(2x - 1)

So, we have

(2x² + 4)(2x - 1)

Hence, the factored expression is (2x² + 4)(2x - 1)

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Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Step-by-step explanation:

Answer:

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.

Step-by-step explanation:

Answer:

$210

Step-by-step explanation:

the expression is 25a+10c-5

where a=adults,c=children

and we have 5adults and 9 children

then 25a + 10c - 5 is

25(5)+10(9)-5

=125+90-5

=210

answer:Monica is going to purchase tickets for 5adults and 9 children for$210

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

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

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

Answer:

4 1/2

Step-by-step explanation:Because 2x2 =4 and 2x1/4 = 1/2 so it is 4 1/2

The required simplified value of the given expression is given as -13/20.

Given that,
An expression is given, −1 4/5 + (−1/4) + (−1/5) we have to determine the sum of the expression.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

here,
= -1 4/5 + (-1/4) + (-1/5)
= -1/5 -1/4 -1/5
= -2/5 -1/4
= -13/20

Thus, the required simplified value of the given expression is given as -13/20.

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The transformation is a translation (x + 7, y + 4) plus a dilation of scale factor 2.

We know that Circle 1 is centered at (-3,-2) and has a radius of 2 centimeters, and Circle 2 is centered at (4,2) and has a radius of 4 centimeters.

The radius of circle 2 is twice the radius of circle 1, then we need to have a dilation of scale factor 2.

Now let's apply a translation of (a, b) units such that:

(-3 + a, -2 + b) = (4, 2)

(a, b) = (4 + 3, 2 + 2)

(a, b) = (7, 4)

Then we have the translation (x + 7, y + 4) plus a dilation of scale factor 2.

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Answer:

no

Step-by-step explanation:

simple interest formula:

final amount = initial balance * (1 + interest rate * time)

rate = 7.5% = 0.075

initial balance = 320

time = 3

is the final amount of 320 * (1 + 0.075 * 3) greater than or equal to 400?

320 * (1 + 0.075 * 3) = 392 so no

Answer: The width of the rectangular window is 53 cm.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

Area = Length x Width

Substituting the given values, we have:

3816 cm² = 72 cm x Width

To solve for the width, we can divide both sides by 72 cm:

Width = 3816 cm² ÷ 72 cm

Width = 53 cm

Therefore, the width of the rectangular window is 53 cm.

Step-by-step explanation:

(a) The lower limit of the 90% confidence interval can be calculated using the formula:

lower limit = sample mean - margin of error

Plugging in the given values, we have:

lower limit = 7.43 - 1.32

lower limit = 6.11 (rounded to 2 decimal places)

Therefore, the lower limit of the 90% confidence interval is approximately 6.11 hours per night.

(b) If 500 random samples like this were selected, and a 90% confidence interval was constructed using each sample, the expected number of intervals that would contain the population mean can be approximated using the margin of error as a guide.

Since the margin of error is 1.32 hours, we can expect roughly 90% of the confidence intervals to contain the true population mean. Therefore, out of 500 samples, we would expect approximately:

500 * 0.9 = 450

So, approximately 450 of these confidence intervals would contain the population mean.

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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Max needs to buy two rolls of string, hopefully this helped :)

Answer:

The point is a solution

Step-by-step explanation:

y = x^2

Substitute the point into the equation and see if it is true

0 = 0^2

0=0

True

Answer:

7÷8 and 8÷7

Step-by-step explanation:

Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)

Answer:

18

40

41

do the operations in parentheses first according to pemdas.

Answer:

the answer is 0.31/ 5.1/8.57.1% /207067

Step-by-step explanation:

ascending order from the smallest to the largest

Answer:

14 and 1 are the length and width

Step-by-step explanation:

Hi there! Your answer to this question would be 90%..

Step By Step Explanation:

So we know that 100% is the average grade for an correct for an entire test.

But how can we find 90%?

Let think like this. 10=100%.

Well if 10 is 100% then 9 would be 90% since every 1 of 10 is 10%.

Final Result: 90%

Answer:

-2

Step-by-step explanation:

the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so

_2+7=5

Answer is 12! Gl on what ur doing!

Answer:

This is how i had my answer

Hope it helped

Answer:

r=6

Step-by-step explanation:

The number of each type of coins are 3 nickle, 3 dime and 5 quarters.

A usually flat piece of metal issued by governmental authority as money.

Given that, a collection of nickels, dimes, and quarters consist of 11 coins with a total of $1.70

We know that, the values are:

quarters (q) = 25 cent, nickles (n) = 10 cent, dime (d)  = 5 cent:

q + n + d  = 11 coins…(x)

25q + 10n + 5d = 170 cents

Since, d = n

Therefore,

q + 2n = 11

25q + 15n = 170

q + 2n = 11...(i)

5q + 3n = 34...(ii)

Put q = 11-2n, in eq(ii)

Therefore,

5(11-2n)+3n = 34

55-10n+3n = 34

7n = 21

n = 3

Put n = 3 in eq (i)

q = 11-6

q = 5

Put the values of n and q in eq (x)

3+5+d = 11

d = 3

Hence, the number of each type of coins are 3 nickle, 3 dime and 5 quarters.

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Answer:

  -8/3

Step-by-step explanation:

You want the slope of the line shown in the graph.

Whether counting grid squares on the graph, or using the slope formula, it is convenient to choose two points on the grid where the line crosses the intersection of grid lines.

It appears, the line passes through grid points (1, 4) and (4, -4). Using the slope formula, we find the slope of the line to be ...

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -4)/(4 -1) = -8/3

The slope of the line is -8/3.

The slope is the ratio of "rise" to "run" for the line. From the two points we see where the line crosses grid intersections, we have a "rise" of -1 from y=4 to y=-4, and a "run" of 3 from x=1 to x=4.

  rise/run = -8/3 = slope of the line