Can I get help w this pleaseThe dimensions of a rectangular prism are quadrupled.if the original surface area was 225ft^2 was is the new surface area?

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

L.C.M = 2 × 7 = 14

Step-by-step explanation:

3ab = 3 × a × b

6b² = 2 × 3 × b × b

7a³b = 7 × a × a × a × b

L.C.M = 2 × 7 = 14

Thus, Lowest common multiple for 3ab; 6b²; 7a³b is 14

-TheUnknownScientist

Answer:

6 miles

Step-by-step explanation:

2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.

2:12

1:6

The table that is used to graph g(x) is given by table 3 and 4.

A reflection is referred to as a flip in geometry. A reflection is the shape's mirror image. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation.

Given that, the function is:

f(x) = 1/3(6x) = 2x

f(x) = 2x

g(x) is the reflection of f(x) across the x-axis.

According to the rule of reflection, the reflection on x-axis is given as:

(x, y) → (x, -y)

Here, the y coordinated of the graph of g(x) has the same value but the opposite sign.

This is satisfied by the table 3 and 4.

Hence, the table that is used to graph g(x) is given by table 3 and 4.

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Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

x \(\geq\)  31

Step-by-step explanation:

Total number of the yearbooks is 56 + x

Total money earned is 23*(56 + x)

so 23*(56 + x) \(\geq\) 2001

56 + x \(\geq\) 2001/23 = 87

x \(\geq\) 87 - 56 = 31

Answer: x \(\geq\)  31

The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

Similar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.

Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:

the measure of angle Z is equal to 65°

the side EF corresponds to JK and side FG corresponds to KL, so:

8/20 = 11/x

x = (11 × 20)/8 {cross multiplication}

x = 27.5

the side EF corresponds to JK and EH corresponds to JM, so:

8/20 = y/30

y = (30 × 8)/20 {cross multiplication}

y = 12

Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12

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The modal mark is 16.because as we can see there are two 15, two 13,one 14, two 17 and three 16.

Answer:

a. is answer sure fix answer

With a little bit of effort and persistence, she should be able to come up with a strong list of symmetrical words and be well on her way to winning the competition.

Number is a mathematical object used to count, measure, and label. It is one of the most fundamental concepts in mathematics and is used in various fields such as science, engineering, finance, and many others. Number is an abstract concept that can be represented using symbols, such as digits (1, 2, 3) or letters (A, B, C). Number can be used to represent a quantity, an amount, or a certain order. It can also represent relationships between objects, such as combinations, sequences, and patterns.

The best strategy for Lindsay to use to win the competition of who can think of the most symmetrical words is to focus on words that have the same letters in the same positions at the beginning and end of the words. Examples of such words are "civic", "level", and "radar". Lindsay can also focus on words that have the same letters in the reverse order, such as "mom", "noon", and "racecar". Additionally, Lindsay can look for words that have the same letter pattern, but with different combinations of letters, such as "deed" and "feed".

Lindsay can also try to look for words with multiple pairs of symmetrical letters, such as "coconut" or "bobcat". She can also look for words with symmetrical letters in the middle, such as "potato" or "banana". Finally, Lindsay can look for palindromes, which are words that read the same backwards and forwards, such as "racecar" and "kayak".

By focusing on words that have the same letters in the same positions at the beginning and end of the words, as well as words that have the same letters in reverse order, the same letter pattern, multiple pairs of symmetrical letters, and palindromes, Lindsay will be able to increase her chances of winning the competition of who can think of the most symmetrical words. With a little bit of effort and persistence, she should be able to come up with a strong list of symmetrical words and be well on her way to winning the competition.

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Use the next convertion factors:

60 seconds are equal to 1 minute

60 minute are equal to 1 hour

24 hours are equal to 1 day in earth

Answer:

2

Step-by-step explanation:

1+1=2

Diaz Nesamoney's experience as an entrepreneur demonstrates a high risk propensity, which is the tendency to take risks that have a potentially positive outcome.

In fact, entrepreneurs are required to be risk-takers as they typically have to invest time, resources, and capital into new ventures with uncertain outcomes. This risk-taking behavior is driven by an innate desire to create something new, whether it's a product, service, or business. However, it's not just risk-taking that characterizes the entrepreneurial mindset, but also a combination of other factors like creativity, determination, and strategic thinking.

Entrepreneurs are known for their strategic maximization skills, which involve the ability to assess opportunities and develop plans that leverage resources effectively to meet their objectives. Strategic thinking allows entrepreneurs to make difficult decisions with limited information, adapt to shifting market conditions, and identify opportunities where others see only obstacles. This kind of thinking requires intuition and creativity, which are key entrepreneurial traits. In addition, entrepreneurs are also known for their bounded optimization behaviors, which involve making decisions that are informed by limitations such as time, money, and available resources. This makes the best use of available resources to achieve the desired outcomes.

Furthermore, entrepreneurs often exhibit an escalation of commitment, which means that they continue to invest in a failing venture despite the costs associated with such a decision. They believe in their vision and goals so much that they're ready to take the risk, invest further resources, and make changes to the strategy until they succeed. This determination and belief inspire others to follow, work harder and go the extra mile. Overall, entrepreneurs are individuals with a range of attributes, including a high risk propensity, strategic thinking ability, intuition, creativity, and determination. These traits enable them to turn their unique ideas into successful businesses.

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Answer:

The answer to the question provided is option 2.

Answer:

-7, -11

Step-by-step explanation:just count down and up how many steps

Answer:

21 drawings

Step-by-step explanation:

The number labelings are 0 - 49

The minimum set that could be the same number is the labeling 0, 10 , 20

It could also be 1, 11, 21 or even 2,12,22

In all the cases, we can be sure that we might have three labelings ending with the same number when we pull our ball labeled 20

That makes a total of 21 drawings

Following are the response to the given question:

Pigeon Hole's Principle can also be used to tackle this problem. Assuming that we already have labels ranging from \(0\ to\ 49.\)

Each digit ending is represented by five balls.

In the pigeonhole principle, it \(kn+1\) objects \((k \geq 1)\) are distributed among n boxes, one of the boxes will contain at least \(k+1\) objects. Assume that you draw a ball and place it in a box labeled with its last digit. So there will be n = 10 boxes.

According to the pigeon hole concept, you need to draw \(kn+1\) balls to assure that at least one of the boxes includes \(k+1\) objects. Because \(k+1 = 3,\) we require three objects in at least one box (we need three balls ending with the same digit).

\(k + 1 = 3 \\\\k =2\)

Therefore, we have to draw \(kn+1\) balls, \(k = 2, n = 10\), at least\(21\ balls\) must be drawn to ensure that at least three of them have the same 1 digit.

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Answer:

The square root is 1.90

Step-by-step explanation:

Given

\(x = \sqrt{3.6}\)

Required

Find x

Express 3.6 as 36/10

So, we have:

\(x = \frac{\sqrt{36}}{\sqrt{10}}\)

This gives

\(x = \frac{6}{\sqrt{10}}\)

Rationalize

\(x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}\)

\(x = \frac{6\sqrt{10}}{10}\)

Using a calculator

\(\sqrt{10} \approx 3.16\)

So, we have:

\(x = \frac{6*3.16}{10}\)

\(x = \frac{18.96}{10}\)

\(x = 1.896\)

Approximate

\(x = 1.90\)

Answer:

43.5

Step-by-step explanation:

you just divide 435 by 10 and you get 43.5

Answer:

impressive I need help plez donk read this

Here , we are provided with a table which shows 5 consecutive terms of an arithmetic sequence . But before solving further , let's recall that ;

The n'th term of a Arithmetic Sequence let's say it be \({\sf T_n}\) is given by ;

Where , d is the common difference

Now , here we are given with ;

\({\quad \qquad \sf \blacktriangleright \blacktriangleright \blacktriangleright T_{1}=8 \: and \: T_{5}=-4}\)

We have to find the 2nd , 3rd and 4th term respectively ,

Now , by using the above formula , 5th term can be written as ;

\({: \implies \quad \sf T_{1}+(5-1)d=T_{5}}\)

Putting the values and transposing 1st term to RHS , we have ;

\({: \implies \quad \sf 4d = -4-8}\)

\({: \implies \quad \sf d=-\dfrac{12}{4}}\)

\({: \implies \quad \sf d=-3}\)

Now , as we got the common difference , so we can find out the missing terms now ;

\({: \implies \quad \sf T_{2}= T_{1}+(2-1)d}\)

\({: \implies \quad \sf T_{2}= 8 +d}\)

\({: \implies \quad \sf T_{2}= 8-3}\)

\({: \implies \quad \bf \therefore \: T_{2}= 5}\)

Now

\({: \implies \quad \sf T_{3}= T_{1}+(3-1)d}\)

\({: \implies \quad \sf T_{3}= 8 +2d}\)

\({: \implies \quad \sf T_{3}= 8-6}\)

\({: \implies \quad \bf \therefore \: T_{3}= 2}\)

Also ,

\({: \implies \quad \sf T_{4}= T_{1}+(4-1)d}\)

\({: \implies \quad \sf T_{4}= 8 +3d}\)

\({: \implies \quad \sf T_{4}= 8-9}\)

\({: \implies \quad \bf \therefore \: T_{4}= -1}\)

Now , The given table can be written as ;

\({\begin{array}{|c|c|c|c|c|c|}\cline{1-6} \bf n & \sf 1 & 2 & 3 & 4 & 5 \\ \cline{1-6} \bf T_{n} & \sf 8 & 5 & 2 & -1 & -4 \end{array}}\)

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Given the data from the question, the 2nd, 3rd and 4th term of the sequence are:

This is a type of sequence which have common difference between each term. It is represent mathematically as:

Tₙ = a + (n – 1)d

Where

Tₙ is the nth term

a is the first term

n is the number of terms

d is the common difference

Tₙ = a + (n – 1)d

T₅ = 8 + (5 – 1)d

–4 = 8 + (4)d

Collect like terms

–4 – 8 = 4d

–12 = 4d

Divide both side by 3

d = –12 / 4

d = –3

Tₙ = a + (n – 1)d

T₂ = 8 + (2 – 1)(–3)

T₂ = 8 + (1)(–3)

T₂ = 8 – 3

T₂ = 5

Tₙ = a + (n – 1)d

T₃ = 8 + (3 – 1)(–3)

T₃ = 8 + (2)(–3)

T₃ = 8 – 6

T₃ = 2

Tₙ = a + (n – 1)d

T₄ = 8 + (4 – 1)(–3)

T₄ = 8 + (3)(–3)

T₄ = 8 – 9

T₄ = –1

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In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.

The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."

When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.

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Answer:

the answer is b

Step-by-step explanation:

Answer:

Last Choice

Step-by-step explanation:

No time to explain I am 100 % sure its correct i had same problem

The value of the logarithmic expression is:

log₅(5¹´²) = 1/2

Remember the two rules for logarithms:

logₐ(x) = ln(x)/ln(a)

ln(xⁿ) = n*ln(x)

Then we can rewrite the expression:

log₅(5¹´²) as:

ln(5¹´²)/ln(5)

Using the second rule we can take out the exponent to get:

ln(5¹´²)/ln(5) ]= (1/2)*ln(5)/ln(5) = 1/2

That is the value.

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Answer:

the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

Step-by-step explanation:

Given that:

the population of this area P was 918,100

and the population was increasing at roughly 9300 people per year i.e DP/DT = 9300

The average annual income I was $29,001 per capita

and this average was increasing at about $1400 per year

i.e DI/DT = 1400

Using the Produle rule;

the rate at which total personal income was rising in the area in 1999 can be calculate as:

DC/DT = P(DI/DT)+I(DP/DT)

DC/DT = 918100(1400)+29001(9300)

DC/DT = 1.28534×10⁹ + 269709300

DC/DT = 1.5550493×10⁹

Thus; the  rate at which total personal income was rising in the area in 1999 is 1.5550493×10⁹

Answer:

For 100 draws, I would expect green or black to be drawn 35 times.

Step-by-step explanation:

5 + 6 + 3 + 4 + 2 = 20 marbles

I would expect green or black to be drawn 7/20 of the time.

addition process of removing the one marble and adding 100 to the amount of green and black marble

Hello!

a. 10

b. 1

c. -11

To evaluate f(x) at a certain x, you simply substitute that value of x into the equation for x.

For example:

a. f(x) = 2x, find f(5)

Plug in 5 for x into f(x):

f(5) = 2(5) = 10.

b. f(x) = 4x + 5, find f(-1)

f(-1) = 4(-1) + 5 = 1

c. f(x) = -3x - 5, find f(2)

f(2) = -3(2) - 5 = -11

Answer:

The radical cannot be simplified, but it can be approximated.

Exact Form:

24

√

30

Decimal Form:

131.45341380

Step-by-step explanation:

cannot show steps right now

( 1 ) If p varies directly as q, for p = 4.5 when q = 12, then the relationship between p and q is p = kq represented as 4.5 = (8/3)12

( 2 ) If p and q is 16 then the direct variation is 1

Any time one quantity directly affects the other, such as when one quantity rises relative to the other and vice versa, there is a direct variation between the two variables. It is the relationship between two variables where one of the variables is a fixed multiple of the other. Since the two variables are directly correlated, they are also known as directly proportional.

There are two kinds of proportionalities: direct variation and inverse variation. When two quantities are multiplicatively connected by a constant, the relationship is said to be proportional. In a direct variation, the ratio of the two quantities stays the same, whereas in an inverse variation, the product of the two quantities stays the same.

If p varies directly as q

for p = 4.5

when q = 12

Then p = kq

4.5 = 12k

k = 12/4.5

k = 8/3

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We will have the following:

So, the simplification is equal to 1.1.

***Explanation***

First, we multiply all the values that are asked to be multiplied, and we also operate all the exponents. [We recall that a value at the power of a number is the number of times the value is multiplied by itself], then we get that:

Finally we operate the simpler and lower in the hierarchy of operations expressions: