ms tilly garden has an area of 28 1/4 square yards the width of the garden is 2 1/2 yards what is the length in yards of ms tillys garden

Answer:

F

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Divide $45 by 3 and you get $15.

If a sentence has "of" in it means to multiply, and the opposite of multiplication is division.

Check; 15 x 3 = 45.  15, 30, 45

Hope this helps!

-Jerc

The set A ∩ B = {3}

The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.

The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.

To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.

Therefore, the intersection of sets A and B is {3}.

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Answer:

The book has 10 pages.

Step-by-step explanation:

Let b represent the number of pages in the entire book.  

Alan has read 40% but has 60% left to read.  

60% of b is 6 pages (given).  

Thus, b = 6/0.60 = 10

The book has 10 pages.

Answer:

it is ten

Step-by-step explanation:

This is very simple, since he read 40 percent of the book and there are 6 pages left then we can deduce that the total would likely be ten, because the remaining amount would have to be 60 percent then we can find the page to percent ratio by dividing 6 by 60. this makes it so every 10 percent is 1 page. 10 percent is 1/10 of 100 percent so multiply 1 by 10 and we get... well 10.

Answer:

-8

Step-by-step explanation:

Answer:

9,4 and 1,5

Step-by-step explanation:

there

The remaining piece is 16-1/2 feet long. B.

The carpenter cuts a piece 1½ feet long from an 18 feet long cedar plank. To find the length of the remaining piece, we subtract the length of the cut piece from the original length of the plank.

Remaining length = Original length - Length of cut piece

Remaining length = 18 feet - 1½ feet

To subtract 1½ feet from 18 feet, we can convert 1½ feet to a decimal form, which is 1.5 feet.

Remaining length = 18 feet - 1.5 feet

Remaining length = 16.5 feet

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Answer:

95

Step-by-step explanation:

To find the average you take the sum of the scores and then divide it by the number of exams. Let x equal the score Lucy must obtain on the next math test.

\(\frac{85+64+76+x}{4} =80\)

Add the scores and multiply both sides by 4

225 + x = 320

Subtract 225 from both sides

x = 95

Answer:

$8 per pound

Step-by-step explanation:

40 ÷ 5 = 8

$40 per 5 pound= 8

$8 per 1 pound = 8

Answer:

\(2 {x}^{2} + 5x - 3 = 0 \\ 2( {x}^{2} + \frac{5}{2} x - \frac{3}{2} ) = 0 \\ 2( {x}^{2} + \frac{5}{2} x + {( \frac{5}{4} )}^{2} ) - \frac{3}{2} - {( \frac{5}{4} )}^{2} ) = 0 \\ ( {(x + \frac{5}{4} )}^{2} = \frac{49}{16} \\ x + \frac{5}{4} = ± \frac{7}{4} \\ x = 0.5 \: \: and \: \: 3\)

Answer:

x= \(\frac{1}{2}\)     or     x= -3

Step-by-step explanation:

\(\boxed{x^{2} +kx=(x+\frac{k}{2})^{2} -(\frac{k}{2})^{2} }\)

First ensure that the coefficient of x² is 1.

x² +\(\frac{5}{2}\)x -\(\frac{3}{2}\)= 0

[x +(\(\frac{5}{2}\) ÷2)]² -(\(\frac{5}{2}\) ÷2)² -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))² -(\(\frac{5}{4}\))² -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))²- \(\frac{25}{16}\) -\(\frac{3}{2}\)= 0

(x +\(\frac{5}{4}\))² -\(\frac{49}{16}\)= 0

(x +\(\frac{5}{4}\))²= \(\frac{49}{16}\)

x +\(\frac{5}{4}\)= \(\sqrt{\frac{49}{16} }\)                (square root both sides)

x +\(\frac{5}{4}\)= ±\(\frac{7}{4}\)

x= -\(\frac{5}{4}\) +\(\frac{7}{4}\)       or       x= -\(\frac{5}{4}\) -\(\frac{7}{4}\)

x= \(\frac{1}{2}\)             or       x= -3

Answer:

The time it takes the rock to reach the canyon floor is approximately 4 seconds.

Step-by-step explanation:

The equation representing the height h (in feet) of an object t seconds after it is dropped is:

\(h=-16t^{2}+h_{0}\)

Here, h₀ is the initial height of the object.

It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.

That is, h₀ = 255 ft.

So, when the rock to reaches the canyon floor the final height will be, h = 0.

Compute the time it takes the rock to reach the canyon floor as follows:

\(h=-16t^{2}+h_{0}\)

\(0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4\)

Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.

Answer:

t=4

Step-by-step explanation:

ed2020

Answer:

Step-by-step explanation:

Sugar concentration of infusions:

Pear:

Cherry:

As we see cherry infusion has more sugar concentration so is sweeter.

Answer:

m<1=117° by the Vertical Angles Congruence Theorem.

m<2=117° by the Alternate Exterior Angles Theorem.

Step-by-step explanation:

Vertical Angles Congruence Theorem- if two angles are vertical angles, then they are congruent.

Alternate Exterior Angles Theorem- when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.

I hope this helps you out!! Have an amazing day :)

From the given diagram

m∠1 = 117° (Vertically opposite angles)

m∠2 = 117° (Corresponding angles)

In the diagram, we have two parallel lines and a transversal intersecting the two lines.

From one of the theorems, when two lines intersect, the opposite angles are equal. This is the vertically opposite angles theorem

In the diagram, angle 1 is opposite to the angle that measures 117°

∴ m∠1 = 117° (Vertically opposite angles)

In the diagram, angle 1 and angle 2 are found at different intersections and on the same side of each of the parallel lines as well as on the same side of the transversal line. Therefore, they are corresponding angles.

From one of the theorems, corresponding angles are equal. That means angle 1 is equal to angle 2

Since, m∠1 = 117°

∴ m∠2 = 117° (Corresponding angles)

Hence, from the diagram

m∠1 = 117° (Vertically opposite angles)

m∠2 = 117° (Corresponding angles)

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Answer:

1. 0

4. 6

Step-by-step explanation:

1. 2 x -1 + 1 ×2 = -2 + 2 = 0

2. 2x - 4 x 3 = 0

or 2x - 12 = 0

or 2x = 12

or x = 6

Answer:

the answer is great Britain because

Step-by-step explanation:

it is very good for this subject

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

Therefore the correct option for the equations are:

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Answer:

Step-by-step explanation:

All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:

\(AL=\frac{\theta}{360}*2 \pi r\) and filling in:

\(8.73=\frac{\theta}{360}*(2)(3.14)(10)\) which simplifies to

\(8.73=\frac{62.8\theta}{360}\) which simplifies a bit more to

\(\frac{360(8.73)}{62.8}=\theta\) so

\(\theta=50.04\) degrees. That means that arc DE also measures 50.04 degrees.

Answer:

78 m

Step-by-step explanation:

We need to use the Pythagorean theorem, \(a^{2} + b^{2} = c^{2}\).

Substitute in \(a\) and \(b\).

\(30^{2} + 72^{2} = c^{2}\)

Simplify.

\(900 + 5184 = c^{2}\)

Add.

\(6084 = c^{2}\)

Square root both sides.

\(78 = c\)

The hypotenuse is 78 m long.

find c:

a² plus b² = c

72² plus 30²=c

5I84 plus 900

6084

now square root that

78

so C=78

To calculate the net present value (NPV) for project b, we need to first calculate the present value (PV) of each cash flow and then subtract the initial cost of the project.

PV of year one cash flow = $51,940 / (1 + 0.078)^1 = $48,193.92
PV of year two cash flow = $61,117 / (1 + 0.078)^2 = $52,861.71
PV of year three cash flow = $62,608 / (1 + 0.078)^3 = $49,605.31
PV of year four cash flow = $47,441 / (1 + 0.078)^4 = $35,824.35

Total PV of cash flows = $48,193.92 + $52,861.71 + $49,605.31 + $35,824.35 = $186,485.29

NPV of project b = Total PV of cash flows - Cost of the project
NPV of project b = $186,485.29 - $110,674 = $75,811.29

Therefore, the net present value for project b is $75,811.29.

To calculate the net present value (NPV) for Project B, we need to use the following formula:

NPV = Σ [Cash Flow / (1 + Required Rate of Return)^t] - Initial Cost

Where Σ is the sum of all cash flows for each year (t).

For Project B, the cash flows and initial cost are as follows:
Initial Cost: $110,674
Year 1 Cash Flow: $51,940
Year 2 Cash Flow: $61,117
Year 3 Cash Flow: $62,608
Year 4 Cash Flow: $47,441

Using the firm's required rate of return (0.078), we can now calculate the NPV for Project B:

NPV = ($51,940 / (1 + 0.078)^1) + ($61,117 / (1 + 0.078)^2) + ($62,608 / (1 + 0.078)^3) + ($47,441 / (1 + 0.078)^4) - $110,674

NPV ≈ $43,350.49

The net present value for Project B is approximately $43,350.49.

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Answer:

d(x)= -x/2 - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(√2 + √3)² · (√5 - √2)²

use (a ± b)² = a² ± 2ab + b²

= [(√2)² + 2(√2)(√3) + (√3)²] · [(√5)² - 2(√5)(√2) + (√2)²]

= (2 + 2√6 + 3) · (5 - 2√10 + 2)

= (5 + 2√6)(7 - 2√10)

use FOIL: (a + b)(c + d) = ac + ad + bc + bd

= (5)(7) + (5)(-2√10) + (2√6)(7) + (2√6)(-2√10)

= 35 - 10√10 + 14√6  - 4√60

= 35 - 10√10 + 14√6 - 4√(4 · 15)

= 35 - 10√10 + 14√6 - 4 · √4 · √15

= 35 -10√10 + 14√6 - 4 · 2 · √15

= 35 -10√10 + 14√6 - 8√15

\(\left(\sqrt 2 +\sqrt 3 \right)^2 \left( \sqrt 5 - \sqrt 2\right)^2\\\\=\left( 2+2\sqrt 6 +3\right)\left( 5-2\sqrt{10}+2\right)\\\\=\left( 5+2\sqrt6\right)\left( 7-2\sqrt{10}\right)\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{60}\\\\=35-10\sqrt{10}+14\sqrt6-4\sqrt{4 \times 15}\\\\=35-10\sqrt{10}+14\sqrt6-8\sqrt{15}\\\)

The probability that the Poisson random variable X is equal to 3 is approximately 0.195.

To find the probabilities for a Poisson random variable X with a mean of 4, we can use the Poisson distribution formula.

The formula is given by P(X = k) = (e^(-λ) * λ^k) / k!, where λ represents the mean and k represents the desired value.

For X = 3, we substitute λ = 4 and k = 3 into the formula. The calculation yields P(X = 3) ≈ 0.195.

For X ≤ 2, we need to calculate P(X = 0) and P(X = 1) first, and then sum them together.

Substituting λ = 4 and k = 0, we find P(X = 0) ≈ 0.018.

Similarly, substituting λ = 4 and k = 1, we get P(X = 1) ≈ 0.073.

Adding these probabilities, we have P(X ≤ 2) ≈ 0.018 + 0.073 ≈ 0.238.

For X ≥ 5, we need to calculate P(X = 5), P(X = 6), and so on, until P(X = ∞) which is practically zero.

By summing these probabilities, we find

P(X≥5)≈0.402

These probabilities provide insights into the likelihood of observing specific values or ranges of values for the given Poisson random variable. Learn more about the Poisson distribution and its applications in modeling events with random occurrences.

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Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

Step-by-step explanation:

you didn't post the questions yk?!

The correct answer exists

A- translation of 4 units up

B - verticals stretch with a scale factor of 2

C - vertical compression with a scale factor if 1/2.

A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.

A transformation is a method for changing the two-dimensional position of a polygon or other object on a plane or coordinate system. Two-dimensional figures can move across a plane or coordinate system via mathematical transformations. The shape in two dimensions before any alteration is known as a preimage or inverse image.

Translation, rotation, reflection, and dilation are the four basic forms of transformations. A rotation about any point, a reflection over any line, and a translation along any vector are all possible according to the description of the transformation. These are rigid transformations in which the image is identical to its starting point.

Therefore, the correct answer exists

A- translation of 4 units up

B - verticals stretch with a scale factor of 2

C - vertical compression with a scale factor if 1/2.

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Answer:

the answer would be she would drive 192 miles

A dilation is the only transformation that does not preserve congruence. All other types of transformations, including translations, rotations, and reflections, do preserve congruence.

A transformation that does not preserve congruence is a dilation. A dilation is a transformation that changes the size of a figure, but not its shape. This means that the new figure will not be congruent to the original figure.

In contrast, other types of transformations, such as translations, rotations, and reflections, do preserve congruence. These transformations move the figure to a new location on the coordinate grid, but do not change its size or shape. As a result, the new figure is congruent to the original figure.

In summary, a dilation is the only transformation that does not preserve congruence. All other types of transformations, including translations, rotations, and reflections, do preserve congruence.

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Answer:

25/18

Step-by-step explanation:

The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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