Solve P = 2l + 2w for w ( perimeter formula )

Answer:

2x² - x - 6

Step-by-step explanation:

(x - 2)(2x + 3)

each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 3) - 2(2x + 3) ← distribute parenthesis

= 2x² + 3x - 4x - 6 ← collect like terms

= 2x² - x - 6

Answer:

C

Step-by-step explanation:

In the graph, you can see an asymptote is happening for x=-5, so look for an equation that divides by 0 for x=-5. That is clearly C, for x=-5 the denominator is 0.

Answer:

(f+g)(x) = 2x^2 + 4x/3 -5

Step-by-step explanation:

so, (f+g)(x) be y

y = f(x) + g(x)

y = x/3 -2 + 2x^2 + x - 3 = 2x^2 + 4x/3 -5

Step-by-step explanation:

Amount of money Sidney spent

=$3.30

Amount of money Koi spent

=$3.30×3

=$9.90

Amount of money Daisy spent

=$9.90-$2

=$7.90

Total amount spent by the three friends

=$3.30+$9.90+$7.90

=$21.10

Amount of money each of them received

=$30÷3

=$10

Amount of money Daisy has left

=$10-$7.90

=$2.10

Answer:

1. $21.10

2. $2.10

Step-by-step explanation:

"Three siblings go to the school fair"

"What was the total money spent by the three friends at the school fair?"

I will assume that the three siblings are the same people as the three friends.

1.

Amount spent by each one:

Sidney: $3.30

Koi: 3 * $3.30 = $9.90

Daisy: $9.90 - $2 = $7.90

Total amount spent by all 3: $3.30 + $9.90 + $7.90 = $21.10

Total amount spent: $21.10

2.

They evenly split $30.

$30/3 = $10

Each one had $10 to spend.

Daisy spent $7.90 out of the $10 she had.

The amount left for Daisy is: $10 - $7.90 = $2.10

(I think the following is correct haha. I know what to do, but the exact wording they used confused me slightly. Have a nice day!)

The { percent } should be written as a { fraction } before dividing.

5 ÷ 20% = { 5 ÷ \(\frac{1}{5}\)} = { 25 }

Answer:

The percent should be written as a fraction before dividing.

5 ÷ 20% = 5 ÷ \(\frac{1}{5}\) = 25

9x = 90 is the answer of the question

The equation that represents a nonlinear function is x(y – 5) = 2

Nonlinear functions are functions that do not have a uniform slope.

A linear function is represented as:

y = mx + b

This means that all other forms are nonlinear function.

From the list of given options, x(y – 5) = 2 is a nonlinear function

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Answer:

A

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The radius of the balloon is increasing at a rate of (5/8π)  when the diameter is 20 m.

Given is a spherical balloon is inflated at a rate of 50 m²/min.

The surface area of the spherical balloon will be -

S = 4πr²

Now, we can write -

dS/dt = d/dt(4πr²)

dS/dt = 4π x 2r x dr/dt

4π x 2r x dr/dt = 50

dr/dt = (50/8πr)

dr/dt = (100/8πd)

{dr/dt} (d = 20 m) = (5/8π)

Therefore, the radius of the balloon is increasing at a rate of (5/8π)  when the diameter is 20 m.

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One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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The derivative of the function y = (x² + x + 9)(√x - 2√x + 8) is obtained by applying the product rule without simplifying the expression.

To find the derivative of the given function y = (x² + x + 9)(√x - 2√x + 8), we can use the product rule, which states that the derivative of a product of two functions is the derivative of the first function times the second function, plus the first function times the derivative of the second function.

Let's differentiate each term separately:

The derivative of (x² + x + 9) with respect to x is 2x + 1.

The derivative of (√x - 2√x + 8) can be found by applying the chain rule. The derivative of √x is (1/2√x), and the derivative of -2√x is -2(1/2√x), which simplifies to -1/√x.

Now, applying the product rule, we have:

y' = (x² + x + 9)(-1/√x) + (2x + 1)(√x - 2√x + 8).

This is the derivative of the given function without simplifying the terms.

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Answer: 25 + d

Step-by-step explanation:

Since there are 30 drummers competing in the Battle of the Bands this year and, 5 of the drummers will leave the following year, the number of drummers left will be gotten by the expression:

= 30 - 5

If If d is the number of drummers who will then join the competition, therefore, the expression that represent the number of drummers in the competition next year will be gotten as:

= 30 - 5 + d

= 25 + d

Therefore, the expression is 25+d.

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

m = 1     c = -8

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Slope = rise/run = (4-1)(1- -4) = 3/5.

Answer:

See below.

Step-by-step explanation:

I'm going to use what I assume is the correct question.

\( \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} \)

\( \dfrac{\cos x}{\cos x} \times \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} \)

\( \dfrac{\cos x(1 - \sin x)}{\cos^2 x} = \dfrac{\cos x}{1 + \sin x} \)

Now use the identity

\( sin^2 x + cos^2 x = 1 \)

\( cos^2 x = 1 - sin^2 x \)

We replace \( \cos^2 x \) in the left denominator.

\( \dfrac{\cos x(1 - \sin x)}{1 - \sin^2 x} = \dfrac{\cos x}{1 + \sin x} \)

Factor the difference of squares in the left side denominator.

\( \dfrac{\cos x(1 - \sin x)}{(1 + \sin x)(1 - \sin x)} = \dfrac{\cos x}{1 + \sin x} \)

\( \dfrac{\cos x}{1 + \sin x} = \dfrac{\cos x}{1 + \sin x} \)

The integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is: \(8 * (1/3)tan^2\theta(1 + tan^2\theta)^(3/2) + C\), where θ is determined by x = 2tanθ, and C represents the constant of integration

What is integration?

Integration is a fundamental concept in calculus that involves finding the integral of a function.

To integrate the function \(\int(x^3/\sqrt(x^2+4))\) dx using a trigonometric substitution, we can use the substitution x = 2tanθ. Let's go through the steps:

Substitute x = 2tanθ. This implies \(dx = 2sec^2\theta d\theta.\)

Rewrite the integral in terms of θ:

\(\int((8tan^3\theta)/(\sqrt(4tan^2\theta+4))) * 2sec^2\theta d\theta.\)

Simplify the expression inside the square root:

\(\int((8tan^3\theta)/(2sec\theta)) * 2sec^2\theta d\theta.\\\\\int(8tan^3\theta) * sec\theta d\theta.\)

Simplify further:

\(16\int tan^3\theta sec\theta d\theta.\)

Apply the trigonometric identity: \(sec^2\theta = 1 + tan^2\theta\). Rearranging, we get: \(sec\theta = \sqrt(1 + tan^2\theta).\)

Substitute \(sec\theta = \sqrt(1 + tan^2\theta)\) in the integral:

\(16\int tan^3\theta * \sqrt(1 + tan^2\theta) d\theta.\)

Let u = tanθ, which implies \(du = sec^2\theta d\theta\). We can rewrite the integral in terms of u:

\(16\int u^3 * \sqrt(1 + u^2) du.\)

Now we have a rational power of u. We can use the substitution \(v = 1 + u^2\) to simplify it:

\(v = 1 + u^2\), which implies dv = 2u du.

Rewrite the integral using v:

\(16\int (u^3 * \sqrt v) * (1/2u) dv.\\\\8\int (u^2\sqrt v) dv.\)

Simplify and integrate:

\(8\int (u^2\sqrt v) dv = 8\int(u^2 * v^{(1/2)}) dv = 8\int u^2v^{(1/2)} dv.\)

Integrate \(u^2v^{(1/2)\) with respect to v:

\(8 * (1/3)u^2v^{(3/2)} + C.\)

Replace v with \(1 + u^2\):

\(8 * (1/3)u^2(1 + u^2)^{(3/2)} + C.\)

Substitute u = tanθ back into the expression:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C.\)

So, the integral of \(x^3/\sqrt(x^2+4)\) using trigonometric substitution is:

\(8 * (1/3)tan^2\theta(1 + tan^2\theta)^{(3/2)} + C,\)

where θ is determined by x = 2tanθ, and C represents the constant of integration

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Answer:

6(2p + 5)

Step-by-step explanation:

The largest common factor of 12 and 30 is 6.  Thus,

12p+30 = 6(2p + 5)

Answer:

12x +30=6(2x+5)

Step-by-step explanation:

Find the Greatest Common Factor (GCF)

GCF = 6

Factor out the GCF (Write the GCF first and then in parenthesis, divide each term by the GCF)

6(12p/6 + 30/6)

Simplify each term that is within the parenthesis

6(2p + 5)

(hope this helps can i plz have brainlist :D hehe)

Answer:

2 2/9 hours

Step-by-step explanation:

Im pretty Sure Its Correct

20 painters will use 0.5 hours to paint the same house at the same rate it takes 2 painters 5 hours to finish the house.

It takes 2 painters 5 hours to finish painting a house.

For 20 painters to paint the same work at the same rate, this means the time used to conclude the work will drastically reduced.

Therefore,

if  2 painters uses 5 hours

At the same rate, 20 painters will use = 2 × 5 / 20 = 10 / 20  = 1 / 2 = 0.5 hours.

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Answer:

2/5

Step-by-step explanation:

If you have two point of the form(x_1,y_1) and (x_2,y_2) then the distance between these points is d=√(x_1-x_2)^2+(y_1-y_2)^2

In this case:

d=/(-8-(-6))^2+(-2-2)^2

d=/(-8+6)^2+(-4)^2

d=/(-2)^2+16

d=/4+16

d=/20

d=2/5

Answer:

Square root 65 is the correct answer

Step-by-step explanation:

delta math.

Answer: He needs 96 gallons

Step-by-step explanation:

32*3 is 96. For example, Max has 32 books, and he gets triple the amount. How much does he have?

Answer:

B

Step-by-step explanation:

Add 295 and 41 when you get the sum. Subtract it by 360 getting 24

Answer:

b 41 c 295. value of the angle

Answer:

Easy. Alternate interior angle.

Step-by-step explanation:

The value for theta is 16.7 degrees and that of alpha is 73.3 degrees.

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle. It means that the relationship between the angles and sides of a triangle are given by these trig functions

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It should be noted that the tan can also be represented in terms of sine and cos as their ratio.

To find alpha, we can take the inverse tangent of both sides of the equation:

tan α = 10/3

tan⁻¹(tan α) = tan⁻¹(10/3)

α = tan⁻¹(10/3)

Using a calculator, we get:

α ≈ 73.3 degrees (rounded to one decimal place)

Therefore, the value of alpha is approximately 73.3 degrees.

To find theta, we can take the inverse tangent of both sides of the equation:

tan θ = 3/10

tan⁻¹(tan θ) = tan⁻¹(3/10)

θ = tan⁻¹(3/10)

Using a calculator, we get:

θ ≈ 16.7 degrees (rounded to one decimal place)

Therefore, the value of theta is approximately 16.7 degrees.\

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The graph of asin(x) + 15 is located 15 units upward as compared to asin(x).

For a function to have an inverse function, it must be one-to-one, that is, it must pass the Horizontal Line Test that establishes that a function has an inverse function if and only if no horizontal line intersects the graph of  at more than one point. The function asin(x) does not pass the test because different values of \(x\) yield the same values of \(y\).

However, if you restrict the domain to the interval:

\(-\pi /2 \leq x\leq \pi /2\)

as shown in Figure, then you have the inverse of the sine function.  

So in Figure is shown the graph of:

\(asin(x) + 15\)

Note that this graph is the same as:

\(asin(x)\)

but it is shifted 15 units upward

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Answer: need brainliest

Step-by-step explanation:

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-\frac{5}{2}})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{\left( -\frac{5}{2} \right)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-8+\frac{5}{2}}{3+3}\implies \cfrac{~ \frac{ -16+5}{2 } ~}{6}\implies \cfrac{~ \frac{ -11}{ 2} ~}{6} \\\\\\ \cfrac{~ \frac{ -11}{ 2} ~}{\frac{6}{1}}\implies \cfrac{ -11}{ 2}\cdot \cfrac{1}{6}\implies -\cfrac{11}{12}\)

Answer:

separate : x-4y=1
= x-2y = 10

the other one: x = 6y + 2

togetehr : x = -1 , y = -1/2

step-by-step explanation:

i don't know if they're together so ima give you the answer for them if they are and just separte answers