a rectangle has length 8x-3 and width 10x-3 what is the perimeter

Answer: Area = \(\int\limits^5_0 {(5x - x^2)} \, dx\)

Step-by-step explanation:

Thiis is quite straightforward, so I will be gudiding you through the process.

we have that;

y1 = x² -5x

and y² = 0

Taking Limits:

y1 = x² -5x, y2 = 0

x² - 5x = 0;

so x(x - 5) = 0

this gives x = 0 and x = 5

∴ 0≤x≤5

This is to say that the graph intersets at x = 0 and x = 5 and y2  is the upper most function.

Let us take the formula:

Area = ∫b-a (upper curve - lower curve)

where a here represents 0 and b represents 5

the upper curve y2 = 0

whereas the lower curve y1 = x² - 5x

Area = ∫5-0 [ 0 - (x² - 5x) ] dx

This becomes the Area.

Area = \(\int\limits^5_0 {(5x - x^2)} \, dx\)

cheers i hope this helped !!!

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer:

\(6\frac{13}{15}\) or \(\frac{103}{15}\)

Step-by-step explanation:

We start with:

\(\frac{2}{3} +6\frac{1}{5}\)

Multiply 6 by the denominator 5 on the right side and add it to the numerator to remove mixed number:

\(\frac{2}{3}+\frac{31}{5}\)

Find common base, 3x5=15. Multiple left side by 5, right side by 3.

\(\frac{10}{15}+\frac{93}{15}\)

Add numerators

\(\frac{10+93}{15} =\frac{103}{15}\)

As a single fraction:

\(\frac{103}{15}\)

Or we can solve for a mixed number, get the rounded value of the numerator divided by denominator:

\(103/15=6\)

Subtract 6*15 from numerator:

\(103-(6*15)=13\)

Final answer:

\(6\frac{13}{15}\)

no because you're more than likely going to lose your money

ANSWER

YES

EXPLANATION

We want to know if the square root of 224 is an irrational number.

An irrational number is a number that cannot be written as a fraction/ratio of two integers.

If we simplify the square root of 224:

As we can see, this number cannot be written as a fraction of two numbers.

As a rule, the square root of any number that is not a perfect square is an irrational number.

So, the answer is Yes. It is an irrational number

Answer:

90

Step-by-step explanation:

Answer:

\(\angle ECD = 115\)

Step-by-step explanation:

Given

\(\angle ACB = 65\)

Required

Determine \(\angle ECD\)

From the attached image, we have:

\(\angle ACB +\angle ECD = 180\) ---- angle on a straight line

This gives:

\(65 +\angle ECD = 180\)

Subtract 65 from both sides

\(\angle ECD = 180 - 65\)

\(\angle ECD = 115\)

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

A

Step-by-step explanation:

sorry I don't kwon how to put it in, in explaination

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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The amount of sand Eloise will put in each sandbox is 7.5 pounds (30 divided by 4).

Answer:

the answer is 181 2/4 OR 181 1/2 hours a month.

Step-by-step explanation:

Pretty simple hoped I helped sir or madame

Answer:

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

Step-by-step explanation:

From the question we are told that:

Sample size \(n=36\)

Mean diameter \(\=x=1.4\)

Standard deviation \(\sigma=0.5cm\)

Null hypothesis \(H_0 \mu=1.5\)

Alternative hypothesis \(\mu \neq 1.5\)

Significance level \(1\%=0.001\)

Generally the equation for test statistics is mathematically given by

\(t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }\)

\(t=\frac{1.4-1.5}{\frac{0.5}{\sqrt{36} } }\)

\(t=-1.2\)

Therefore since this is a two tailed test

\(t_{n-1,\alpha/2}\)

 Where

   \(n-1=36-1=>35\)

   \(\alpha=/2=0.001/2=>0.0005\)

From table

\(t_{n-1,\alpha/2}=3.59114678\)

Therefore we do not have sufficient evidence at \(1\%\) level that the true mean diameter has moved away from the target

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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Answer:

Hope this helps

Step-by-step explanation:

full explanation in the given picture

Explanation

Given the equation

The graph of the function can be seen below.

The solution to the equation is the x-coordinate of the points where the graph cuts accross the x-axis.

Therefore

Answer: x =4,6

Answer:

x+3 and x+ 2

=3x(x) 2x

=6x

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

y = 6x + 2 is the function which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

The linear function in the form y = mx + b represents the situation where y represents the cost of the babysitting job

x represents the number of hours, "m" represents the hourly rate, and "b" represents the additional fee (bus fare).

y = 3x + 2 represents an hourly rate of 3 and an additional fee of 2.

y = 3x + 1 represents an hourly rate of 3 and an additional fee of 1.

y = 6x + 2 represents an hourly rate of 6 and an additional fee of 2.

y = -6x + 2 represents a negative hourly rate of -6 and an additional fee of 2.

Hence, y = 6x + 2 is the which Adam charges a rate of $6 per hour and an additional fee of $2 for the bus fare.

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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First, let's define rational and irrational numbers.

Rational numbers. Are those numbers that can be expressed as the ratio of 2 integers.

Irrational numbers. These numbers are the opposite of rational numbers, they can't be expressed at the ratio of 2 integers abd their decimal numbers are infinite.

Now, addressing the question, to order rational and irrational numbers we must take a close look th the decimal numbers given for the rational number.

For example, say that we are comparing 9.43 and \(\sqrt{89} \\\). Let's convert the numbers to their decimal form to easily compare them.

9.43 is already a decimal.

\(\sqrt{89} =9.433981132\).

Based of the obtained values, the greatest number of these 2 is, clearly, \(\sqrt{89} \\\). In case we are comparing these same 2 numbers, and we are only given the decimal form of \(\sqrt{89} \\\) as 9.43, we can still affirm that \(\sqrt{89} \\\) is the greatest number, because it's irrational, it has more decimal numbers that are greater than those on 9.43, which only has 2.

The way to compare and order rational and irrational numbers is to convert all the numbers to their decimal form and see who has the greater value. It's important to always keep in mind that irrational numbers have infinite decimal figures. If we have the exact same decimal figures for an irrational and a rational number, the irrational number will always be greater since it has infinite decimal places.

Answer:

Option 2

Step-by-step explanation:

Option 1 is wrong because:

-√16  = -4, therefore we can conclude -20.5 isn't greater than -√16

Option 3 is wrong because:

Using common knowledge, we know that π (pi) = 3.14159265...

Answer:

  0.513671875 = 263/512 inches

  easier to use: depends on the measurement tool

Step-by-step explanation:

The model dimension is found by multiplying the actual dimension by the scale factor.

__

  model frame dimension = actual frame dimension × 1/64

  = (32.875 inches)/64 = 0.513671875 inches

In fractional form, this is ...

  (32 7/8) / 64 = (263/8) / 64 = 263/512 . . . inches

__

It is unlikely that a casual hobbyist will have access to tools that measure with a resolution finer than 0.0001 inches. More common would be a measurement resolution of 0.001 inches. Using such tools, the rounded decimal value 0.5137 or 0.514 inches would be more useful than the fractional measurement.

It is possible that an optical measuring device could be available that would present its result as a fraction of an inch. If such a tool were used, the fractional measurement value would provide an appropriate point of comparison.

In short, the measurement easiest to work with depends on the tool being used to make the measurement.

Answer:

x = 62 words

Explanation:

→ We write the data problems.

372 words .............6 minutes

→ We must find: What's Cynthia typing rate in words per minute?

372 words .............6 minutes

x words ..................1 minute

x = 372 words * 1 minute/ 6 minutes

x = 62 words

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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Note that the  the probability that both spins result in the same color is 0.28

Probability of getting ...


red on both spins = (1/5) x   (1/5) = 1/25

yellow on both spins = (1/5) x  (1/ 5) =  1/25

blue on both spins = (1/5) x  (1/5 =  1/25

pink on both spins = (2/5)x (2/5) =  4/25

So the total   probability of getting the same color in both spins is computed as        

= 1/25 + 1/25 +  1/25 +  4/25

= 7/25 or 0.28

So the correct asnwer is 0.28 or 7/25

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