. Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana wants to spend a maximum of $645 on the rental, which inequality represents “n”, the number of nights can she afford to rent the beach house?

Answer:

Use V=LxWxH

Step-by-step explanation:

To find the volume of a solid you measure Length x Width x Height

V=LWH

V= 8cmx5cmx3cm

V=120cm^3

Answer:

base = 35 cm

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 840 and h = 48 , then

\(\frac{1}{2}\) × b × 48 = 840

24b = 840 ( divide both sides by 24 )

b = 35

then base is 35 cm

The equation sin^2(x) = 1/2 - 1/2cos(2x) is an identity that holds true for all values of x. It can be used to simplify expressions involving sine and cosine functions.

The equation sin^2(x) = 1/2 - 1/2cos(2x) is a trigonometric identity, which means it holds true for all values of x. To understand why this identity is true, we can use the double angle formula for cosine, which states that cos(2x) = cos^2(x) - sin^2(x). Rearranging this formula gives sin^2(x) = cos^2(x) - cos(2x).

Now, we can substitute the identity cos^2(x) + sin^2(x) = 1 into the above equation, which gives sin^2(x) = 1 - cos^2(x) - cos(2x). Rearranging further gives sin^2(x) = 1/2 - 1/2cos(2x), which is the desired identity.

This identity can be useful in simplifying expressions involving sine and cosine functions. For example, if we have an expression with both sin(x) and cos(x), we can use this identity to express everything in terms of sin(x) or cos(x) only.

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The economic and political circumstances that President Obama thinks might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, the political instability in many regions of the world, and dissatisfaction with the current political circumstances.

According to President Obama, there are several economic and political circumstances that might make terrorist groups attractive to many people in the world. The first circumstance is the economic disparity between the rich and the poor. Many people who are attracted to terrorist groups come from poor and underdeveloped countries where there is a lack of economic opportunities. These individuals may be drawn to terrorist groups because they see it as a way to achieve financial stability and gain power.

Another circumstance is the political instability in many regions of the world. Many terrorist groups take advantage of the instability and lack of government control in certain areas to gain support and recruit new members. Additionally, many people who are dissatisfied with their current political circumstances may be drawn to terrorist groups because they believe it is a way to bring about change and fight against perceived injustices.

Overall, the economic and political circumstances that President Obama believes might make terrorist groups attractive to many people in the world are the economic disparity between the rich and the poor, political instability, and dissatisfaction with the current political circumstances.

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Answer:

circumference = 219.91 cm

65,973 cm

Step-by-step explanation:

circumference = 35 x 2 x π = 219.91 cm

219.91 x 5 x 60 = 65,973 cm

The measure of the angle indicated is as follows:

The measure of the angle indicated can be found using exterior angle theorem. The exterior angle theorem states that  If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.

Therefore,

m∠S + m∠T = 129

m∠S  = -3 + 6x

m∠T = 11x + 13

Therefore,

129 = - 3 + 6x + 11x + 13

129 = - 3 + 13 + 6x + 11x

129 = 10 + 17x

129 - 10 = 17x

119 = 17x

x = 119 / 17

x = 7

Therefore,

m∠S = - 3 + 6(7) = -3 + 42 = 39°

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To multiply radical expressions with the same index, we use the product rule for radicals. \(\sqrt[n]{A}.\sqrt[n]{B} = \sqrt[n]{A.B}\)

To divide radical expressions with the same index, we use the quotient rule for radicals. \(\frac{\sqrt[n]{A} }{\sqrt[n]{B} } =\sqrt[n]{\frac{A}{B} }\)

Multiplying Radical Expressions :

Example,

given:  Multiply: \(\sqrt[3]{12} .\sqrt[3]{6}\)

Apply the product rule for radicals, and then simplify.

\(\sqrt[3]{12}.\sqrt[3]{6}=\sqrt[3]{12.6}\)

            \(=\sqrt[3]{72}\\=\sqrt[3]{2^{3} .3^{2} } \\=2\sqrt[3]{3^{2} } \\=2\sqrt[3]{9}\)

Dividing Radical Expressions

Example,

given: Divide: \(\frac{\sqrt[3]{96} }{\sqrt[3]{6} }\)

In this case, we can see that 6 and 96 have common factors. If we apply the quotient rule for radicals and write it as a single cube root, we will be able to reduce the fractional radicand.

\(\frac{\sqrt[3]{96} }{\sqrt[3]{6} } =\sqrt[3]{\frac{96}{6} }\)

      \(=\sqrt[3]{16} \\=\sqrt[3]{8.2} \\=2\sqrt[3]{2}\)

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Answer: "3 + x".

Step-by-step explanation:

The sampling technique used in each study is as follows: (a) convenience sampling, (b) systematic sampling, and (c) stratified random sampling.

(a) In the first study, where a journalist goes to a campground to ask people about their feelings regarding air pollution, the sampling technique used is convenience sampling. This is evident because the journalist approaches individuals who are readily available and easily accessible at the campground. However, convenience sampling may introduce bias as it does not ensure a representative sample of the population.

(b) In the second study, where every tenth machine part is selected from an assembly line for measurement, the sampling technique used is systematic sampling. Systematic sampling involves selecting every nth element from a population after establishing a sampling interval. In this case, every tenth machine part is selected to ensure a systematic and unbiased approach to quality assurance.

(c) In the third study, where attitudes about smoking are studied at a college and students are divided by class and then randomly sampled from each class for interviews, the sampling technique used is stratified random sampling. Stratified random sampling involves dividing the population into homogeneous subgroups (strata) and then randomly selecting samples from each subgroup. By dividing the students into different class strata and randomly selecting samples from each class, this study aims to ensure representation from each class in the final sample.

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Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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Answer:

\(60 + x = 100\)

\(x = 40\)

An indirect proof is an argument that begins with the assumption that a conclusion is false, then uses logical reasoning to show that the assumption leads to a contradiction.

a fact or assertion that contradicts what someone else said or that differs from another fact or assertion to the point where one of them must be incorrect.

A situation or set of ideas that contradict one another is called a contradiction. A contradiction would be saying out loud that you support the environment while never remembering to empty the recycling. A statement that contains opposing ideas is frequently referred to as a "contradiction in terms."

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Answer:

more than.

"a top speed in excess of 20 knots"

Similar:  "more than"  "over"  "above"  "over and above"  "beyond"

The Third Estate formed the National Assembly because they realized that the other two estates, the nobles and the clergy, would combine interests in the Estates General to vote that the Third Estate should shoulder the greatest tax burden for Louis XVI's new taxes.

The Third Estates contributed to France's revolutionary mood by their very structure. Because they lumped together with the urban poor, the merchants, and the middle-class, the Third Estate created a sense of solidarity that might not have otherwise existed.

National assembly

The National Assembly was the new government set up by the French Revolution in the summer of 1789.

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Answer: The Eskimos killed their whale with an exploding harpoon.

Step-by-step explanation:

a crew of Inupiat Eskimos cruising the Arctic Ocean in a small powerboat spotted the whale's spout, speeded to the animal's side and killed the whale with an exploding harpoon.

Answer:

1 : \(\frac{2}{3}\)

Step-by-step explanation:

Given the ratio

9 : 6 ← divide both parts of the ratio by 9

= \(\frac{9}{9}\) : \(\frac{6}{9}\) ← simplify

= 1 : \(\frac{2}{3}\)

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, \(x_1=-2, y_1=6, x_2=-8, y_2=k\)

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Substitute   \(x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}\) into the formula above

\(\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5\)

Therefore, the value of k is 1.5

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Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

Answer:

0.46

Step-by-step explanation:

Answer:

0.46

I got the answer by counting the shaded boxes of the shape.

Answer:

camilaaaaaaaaaaaaaaa

Answer:

Regan subtracted the exponents: 410 − 5 = 45

Answer:

not 2

Step-by-step explanation:

other persons answer

Answer:

C: 24x - 16

Step-by-step explanation:

8×3x=24x

8× -2= 16

Answer:

C. 24x-16 :)

Step-by-step explanation:

8(3x-2)

Use the distributive property.

8*3x=24x

-2*8=16

24x-16

Answer: A

Step-by-step explanation:

The easiest way to solve this would be to convert everything into a fraction.

9.5, 9 3/8, 9.125, 9 3/4

=

9 4/8, 9 3/8, 9 1/8, 9 6/8

So from greatest to least,

9 3/4, 9.5, 9 3/8, 9.125

So, A

Answer: The answer is F ( 9 3/4 9.5 9 3/8 9.125 )

Step-by-step explanation:

From greatest to least.

1) 9 3/4 = 9.75

2) 9.5 = 9.50 ( 9 1/2)

3) 9 3/8 = 9.37

4) 9.125 = 9.12 ( 9 1/8)

Answer:

Expressions equivalent to 10a-2+5b are (2a-5+b)5, 10x(a-2.5+0.5b), and (-2a+5-b)x(-5)

Answer:

ok ez

Step-by-step explanation:

a) 119/1009=11.79%

b) 264/1009=26.17%

c) 75/1009= 7.43%

d) 9/1009= 0.89%

u are welcome :)

Given:

A school fundraiser has a minimum target of $500.

Faculty have donated $100 and there are 12 student clubs that are participating with different activities.

To find:

The inequality for the given situation.

Solution:

Let x be the money raised by each club.

Number of clubs is 12. So, total money raised by 12 clubs is 12x.

Faculty have donated $100.

Total funds raised \(=12x+10\)

A school fundraiser has a minimum target of $500. It means the total funds raised must be greater than or equal to $500.

\(12x+100\geq 500\)

Therefore, the correct option is D.

If an AP has first term 7 and common difference 4. If the sum of all it's terms is 900, then there are 3 terms.

Let's use the formula for the sum of an arithmetic progression to solve this problem:

S = n/2[2a + (n-1)d]

where S is the sum of the first n terms, a is the first term, d is the common difference, and n is the number of terms.

We know that a = 7 and d = 4, and we're given that S = 900. Substituting these values into the formula, we get:

900 = n/2[2(7) + (n-1)(4)]

Simplifying the expression inside the brackets:

900 = n/2[14 + 4n - 4]

900 = n/2[10 + 4n]

Multiplying both sides by 2 to eliminate the fraction:

1800 = n[10 + 4n]

Simplifying the right-hand side:

1800 = 4n^2 + 10n

Rearranging to get a quadratic equation in standard form:

4n^2 + 10n - 1800 = 0

We can solve for n using the quadratic formula:

n = (-b ± √(b^2 - 4ac)) / 2a

In this case, a = 4, b = 10, and c = -1800, so:

n = (-10 ± √(10^2 - 4(4)(-1800))) / 2(4)

n = (-10 ± √(100 + 28800)) / 8

n = (-10 ± √(28900)) / 8

n = (-10 ± 170) / 8

n = 20/8 or n = -180/8

n = 2.5 or n = -22.5

Since the number of terms must be a positive integer, we can discard the negative solution and conclude that there are 2.5 terms. However, this doesn't make sense because the number of terms in an arithmetic progression must be a whole number. Therefore, we need to round up to the nearest whole number, which gives us:

n = 3

Therefore, there are 3 terms in the arithmetic progression with first term 7 and common difference 4, and the sum of these terms is 900.

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To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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