AABC is dilated by a factor of 2 to produce AA'B'C!
What is A'B, the length of AB after the dilation? What is the measure of A'?

The correct option is $12.90.

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

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Answer:

y = -9/2 x +5

Step-by-step explanation:

Slope intercept form is y=mx+b

2y = -9x+10

y = -9/2 x +5

Answer:

y = - 9/2  + 5

Step-by-step explanation:

9x + 2y = 10

Move 9x to the other side. (It becomes negative)

2y = - 9x + 10

Divide both sides by 2.
y = - 9/2  + 5

The ratio of yellow paint to mixed paint is 3/5.

A ratio is a comparison or relationship between two amounts of the same quantity to determine how much larger one number is than the other. Where b is not equal to zero, it is written as a/b or a: b. An equality of two ratios is a proportion. In order to write equivalent ratios, proportions are used, which aids in resolving the unknown quantities. As an illustration, a proportion is written as a: b = c: d.

Solution:-

Given,

Amount of yellow paint=3

Amount of blue paint=2

Ratio=yellow paint/total mixed paint

Ratio=3/(3+2)

Ratio=3/5

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Step-by-step explanation:

This figure is congrunt by SSS or it can be by SAS

when we say they are congrunt by SSS (side side side) b/c

So we say those 2 triangles are congrunt by SSS.

when we say they are congrunt by SAS (side angle side) b/c

So we say those 2 triangles are congrunt by SAS.

Answer:

sample response: Integers are the set of whole numbers and their opposites. Fractions and decimals are not included in this set.

Step-by-step explanation:

Answer:

its bar graph

Step-by-step explanation:

thanks for the question

please mark me brainless

The respοnses fοr favοurite vacatiοn spοt can be described best by a pie chart.

One sοrt οf graph that illustrates the infοrmatiοn in the circular graph is a pie chart. It is a sοrt οf graphical representatiοn οf data where the slices οf pie depict the relative sizes οf the data. A list οf numerical and categοrical variables is necessary fοr a pie chart. Pie in this cοntext refers tο the entire thing, and slices tο its cοmpοnent pοrtiοns.

If yοu asked "What is yοur favοrite vacatiοn spοt?" tο a grοup οf peοple, the mοst apprοpriate type οf graph tο represent the respοnses wοuld be a pie chart.

A pie chart is a circular chart that is divided intο slices tο represent the prοpοrtiοn οf each categοry in a dataset.

In this case, each slice οf the pie chart wοuld represent a different vacatiοn spοt, and the size οf each slice wοuld cοrrespοnd tο the prοpοrtiοn οf respοndents whο selected that vacatiοn spοt as their favοrite.

Pie charts are useful fοr displaying categοrical data, where the categοries are mutually exclusive and add up tο 100%.

They are easy tο read and understand, and can quickly shοw the distributiοn οf respοnses amοng the different categοries.

On the οther hand, a bar graph οr a line graph wοuld nοt be apprοpriate fοr this type οf data since the respοnses are nοt numerical οr cοntinuοus.

A line plοt wοuld alsο nοt be apprοpriate since it is used tο display a series οf data pοints, and in this case, there is οnly οne data pοint per categοry.

Therefοre, a pie chart is the best chοice.

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Answer:

The answer is Cai.

Step-by-step explanation:

2 1/4 is 9/4 as an improper fraction. 9/4 as a decimal is 2.25.

2/3 as a decimal is 0.666666666667.

2.25 is great than  0.666666666667, therefore Cai collected the most.

Answer:

a) x=6

b) x=4.5

c) x=35

d) x=13

Step-by-step explanation:

Answer:

a x = 6

b x = ⁹/²

c x = 35

d x = 13

Answer:

the correct answer is 20 .

Step-by-step explanation:

x^2 - ( x + 4 ) - y = ?

6^2 - ( 6 + 4 ) - 6 = ?

36 - ( 10 ) - 6 = ?

26 - 6 = 20

Answer:

71/17

Step-by-step explanation:

So there's 17 students total unless I misscounted those tiny ahh dots

the miles walked by each are as follows;

2+2+3+3+4+4+5+5+5+6+6+6+6+7+7

=71

since you're looking for the average (AKA the 'mean') if the group, you gotta divide the total of all their collective miles (71) by the number of students (17)

so 71÷17

that can be written at 71/17

hope this helps & lmk if what I wrote's unclear fr

Answer:

Step-by-step explanation:

\(1\frac{1}{3} - 2\frac{1}{5} +\frac{7}{10}\)

\(=-\frac{13}{15} +\frac{7}{10}\)

\(=-\frac{1}{6}\)

The ways to identify an inequality is through their inequality symbols which are:

The word inequality is a term that connote a form of mathematical expression where the sides can be said to be unequal to each other.

Note that an inequality tends to compares  two values and depicts that one value is less than, greater than, or also equal to the value on the other side of any given equation.

Since, Inequalities do compare numbers and helps to know the range or ranges of values, The ways to identify an inequality is through their inequality symbols which are:

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Answer: 2.5 is the constant

Step-by-step explanation: a constant is the number before the variable so if 2.5 comes before "x" than 2.5 is the constant

Three problems would arise if the frequency of scrum was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

Scrum is a project management framework that was initially focused on software development, while it has now been applied to other areas such as research, sales, marketing, and cutting-edge technology.

It is intended for groups with ten or fewer members who divide their work into tasks that can be finished in sprints, which are time-boxed iterations that can be done in as little as one month and most frequently two weeks.

If the frequency was reduced to every two or three days, there would be three issues.

(A) The chances to review and modify the Sprint Backlog may be missed.

(B) The Sprint plan becomes imprecise; obstacles are raised and removed more slowly.

(C) Too much time is spent before meetings updating the scrum board.

Therefore, three problems would arise if the frequency was lowered to every two or three days.

(A) There may be missed opportunities to examine and amend the sprint backlog.

(B) The Sprint strategy deteriorates; barriers are raised and taken down more slowly.

(C) Too much time is spent updating the scrum board prior to meetings.

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Therefore, the solutions to the simultaneous equation are (x, y) = ((5 + √(21))/2, (5 - √(21))/2) and (x, y) = ((5 - √(21))/2, (5 + √(21))/2).

To solve the simultaneous equation 1÷x + 1÷y = 5, 1÷y - 1÷x = 1, we can use the substitution method. Here are the steps to solve the equation:
1. Rearrange the first equation to get 1÷y = 5 - 1÷x
2. Substitute this into the second equation to get 1÷(5 - 1÷x) - 1÷x = 1
3. Multiply both sides by x(5 - 1÷x) to get x - (5 - 1÷x) = x(5 - 1÷x)
4. Simplify and rearrange to get x² - 5x + 1 = 0
5. Use the quadratic formula to solve for x: x = (-(-5) ± √((-5)² - 4(1)(1)))÷(2(1)) = (5 ± √(21))/2
6. Substitute the values of x back into the first equation to find the corresponding values of y: y = 1÷(5 - 1÷((5 + √(21))/2)) = (5 - √(21))/2 and y = 1÷(5 - 1÷((5 - √(21))/2)) = (5 + √(21))/2

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Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  \(3-2|.5x+1.5|=2\) then

\(-2|.5x+1.5|=-1\)  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

\(|.5x+1.5|=.5\)

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

We want to find the other solution of the given absolute value equation.

The other solution is x = -4

We know that:

3 - 2*|0.5*x + 1.5| = 2

It has one solution given by:

- 2*|0.5*x + 1.5| = 2 - 3 = -1

|0.5*x + 1.5| = 0.5

0.5*x + 1.5 = 0.5

0.5*x = 0.5 - 1.5 = -1

0.5 = -1/x

Then we have x = -2

To get the other solution we need to remember that an absolute value equation can be written as:

|x - a| = b

or:

(x - a) = b

(x - a) = -b

Then the other solution to our equation comes from:

|0.5*x + 1.5| = 0.5

(0.5*x + 1.5) = -0.5

0.5*x = -0.5 - 1.5 = -2

x = -2/0.5 = -4

The other solution is x = -4

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Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.

To determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1

But the second term of the sequence is 8, not 1. So the formula is incorrect.

Similarly, for the fourth term, n = 4, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16

But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.

Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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Answer:

24

Step-by-step explanation:

1/3 = 8

3/3 = 8*3

The Midpoint Rule with n = 4 is used to approximate the area of the region bounded by the graph of function f and the x-axis over a given interval.

The Midpoint Rule is a method used to estimate the area under a curve by dividing the interval into smaller subintervals and approximating the area of each subinterval as a rectangle. In this case, we have n = 4, meaning the interval will be divided into four equal subintervals.

To apply the Midpoint Rule, we first calculate the width of each subinterval by dividing the total interval length by the number of subintervals, which in this case is 4. Next, we find the midpoint of each subinterval by adding the width of the subinterval to the left endpoint.

Once we have the midpoints, we evaluate the function f at each midpoint to obtain the corresponding function values. These function values represent the heights of the rectangles. The area of each rectangle is then calculated by multiplying the width of the subinterval by the corresponding function value.

Finally, we sum up the areas of all the rectangles to obtain an estimate of the total area bounded by the graph of f and the x-axis over the given interval. The result is rounded to two decimal places to provide the final approximation.

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The probability that a randomly-selected player will have a sprint speed larger than Mookie Betts is 0.7881 (rounded to four decimal places).

To find the probability that a randomly-selected player will have a sprint speed larger than Mookie Betts (28.2 ft/sec), we need to use the standard normal distribution.

First, we need to standardize the value of Mookie Betts' sprint speed using the z-score formula:

z = (x - μ) / σ

where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, x = 28.2 ft/sec, μ = 27 ft/sec, and σ = 1.5 ft/sec.

Plugging in the values, we have:

z = (28.2 - 27) / 1.5

Simplifying, we get:

z = 1.2 / 1.5

z = 0.8

Now, we can use a standard normal distribution table or a calculator to find the probability corresponding to the z-score of 0.8.

Using the table or calculator, we find that the probability is approximately 0.7881.

Therefore, the probability that a randomly-selected player will have a sprint speed larger than Mookie Betts is 0.7881 (rounded to four decimal places).

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Answer:

x=15, y=7

Step-by-step explanation:

Angles that form a linear pair are supplementary, so:

\(2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7\)

Answer:

\(x=\boxed{15}\\\\y=\boxed{7}\)

Step-by-step explanation:

Angles on a Straight Line Theorem

The sum of angles on a straight line is equal to 180°.

Solving for x:

\(\boxed{\begin{aligned}2(5x-5)^{\circ}+(3x-5)^{\circ}&=180^{\circ}\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x \div 13 &=195\div 13 \\x&=15\end{aligned}}\)

Solving for y:

\(\boxed{\begin{aligned}(5y+5)^{\circ}+20y^{\circ}&=180^{\circ}\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y \div 25 &=175\div 25 \\y&=7\end{aligned}}\)

Therefore:

\(x=\boxed{15}\\\\y=\boxed{7}\)

Answer:

c y=1/2x+40

because it's positive (up). /

The two events are independent.

To determine if the two events, picking a number between 1000 and 5000 and flipping a coin, are independent or dependent, we need to examine their relationship.

The events are independent if the outcome of one event does not affect the outcome of the other event.

In this case, picking a number between 1000 and 5000 has no influence on the outcome of flipping a coin, and flipping a coin does not affect the number you pick.

Therefore, these two events are independent.

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y=2x-11 is the equation of line with slope 2 and coordinate (8,5)

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is the slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given coordinate is (8,5) and slope is 2

m=2

The slope intercept form for a point

y-y₁=m(x-x₁)

y-5=2(x-8)

y-5=2x-16

y=2x-16+5

y=2x-11

Hence, y=2x-11 is the equation of line with slope 2 and coordinate (8,5)

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The series \(\sum_{n=1}^\infty\) sin (2 n) - sin (2 (n + 1)) diverges to ∞.

The series \(\sum_{n=1}^\infty\) [sin (2/n) - sin (2/(n + 1))] converges to sin(2).

The series \(\sum_{n=1}^\infty\) [e¹¹ⁿ - e¹¹⁽ⁿ⁺¹⁾] diverges to - ∞.

Given that, the first series is

S = \(\sum_{n=1}^\infty\) sin (2 n) - sin (2 (n + 1))  

Now calculating,

Sₖ = [sin 2 + sin 4 + sin 6 + ..... + sin 2k] - [sin 4 + sin 6 + ..... + sin 2k + sin (2k + 2)]

Sₖ = sin 2 - sin (2k + 2)

So now, limit value is,

\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [sin 2 - sin (2k + 2)] = ∞

Hence the series diverges.

Given that, the second series is

S = \(\sum_{n=1}^\infty\) [sin (2/n) - sin (2/(n + 1))]

Now calculating,

Sₖ = [sin 2 + sin 1 + sin (2/3) + .... + sin (2/k)] - [sin 1 + sin (2/3) + ..... + sin (2/k) + sin (2/(k + 1))]

Sₖ = sin 2 - sin (2/(k + 1))

So now, limit value is,

\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [sin 2 - sin (2/(k + 1))] = sin 2 - 0 = sin 2

Hence the series is convergent and converges to sin (2).

Given that, the third series is

S = \(\sum_{n=1}^\infty\) [e¹¹ⁿ - e¹¹⁽ⁿ⁺¹⁾]

Now calculating,

Sₖ = [e¹¹ + e²² + e³³ + ..... + e¹¹ᵏ] - [e²² + e³³ + ....+ e¹¹ᵏ + e¹¹⁽ᵏ⁺¹⁾]

Sₖ = e¹¹ - e¹¹⁽ᵏ⁺¹⁾

So now, limit value is,

\(\lim_{k \to \infty}\) Sₖ = \(\lim_{k \to \infty}\) [e¹¹ - e¹¹⁽ᵏ⁺¹⁾] = - ∞.

Hence the series diverges.

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The question is not clear. The clear and complete question will be -

Answer:

14

Step-by-step explanation:

3x14=42 it dosen't go over 42

Answer: 14

Step-by-step explanation:

3,6,9,12,15,18,21,24,27,30,33,36,39,42

3x14=42

Answer:

60

Step-by-step explanation:

   Exterior angle of the triangle equals the sum of opposite interior angle.

     4z + z + 10 = z + 50

           5z + 10 = z + 50

Subtract 10 from both sides,

                 5z = z + 50 - 10

                5z  = z + 40

Subtract z from both sides,

            5z - z = 40

                 4z = 40

Divide both sides by 4,

                  z = 40 ÷ 4

                  z = 10

Exterior angle = z + 50

                       = 10 + 50

                       = 60

Answer:

Roumbouses

Step-by-step explanation:

Hope this helps

Answer:

its #3 rhombuses

Step-by-step explanation: