which of these expression is equivalent to -2(3-y)​

Answer:

x=sqrt(3)/2 or -sqrt(3)/2

Step-by-step explanation:

(x,1/2) is on the unit circle at pi/6 and 5pi/6.

so x is either sqrt(3)/2 or -sqrt(3)/2

Answer:  \(-\sqrt{3}/2\)

Step-by-step explanation: I did the question and got it right

ANSWER:

900

STEP-BY-STEP EXPLANATION:

Given the cost and revenue functions:

The profit is:

To maximize we derive the profit function and then set it equal to 0 to solve for x

To maximize profit, a total of 900 pPhones must be produced and sold.

Answer:

n= -1.2

Step-by-step explanation:

I think because if you use slope equation to find the slope which is 3/5 and then you use point slop equation to find out what the equation would be. y=3/5x and then you substitue y for 18 and solve/simplify the equation to get -1.2.

Answer: That is the answer for the first one and ill let you know if i work out more.

Step-by-step explanation:

Answer:

half eaten pizza has greater circumference

Step-by-step explanation:

full eaten pizza's circumference = 2πr

= 2 * 3.14 * 7 = 43.96 inches

half eaten pizza's circumference = πd

= 3.14 * 20

=62.8 inches

Answer:

113.1cm²

Step-by-step explanation:

Answer: It is 36 pi

Step-by-step explanation:

I took the test on k-12

Answer:

45

Step-by-step explanation:

Upon examining the graph, you can realize that angle 3x is the same as the angle directly to the left of 9x. Since that makes a straight line, we can realize that that sums up to 180. We call this a linear pair.

so you have:

3x+9x = 12x = 180

x = 15

A important concept to know here is vertical angles. Vertical angles occur when two lines intersect each other. The opposite angles formed at an intersection are congruent, which is why 1 is congruent to 3x.

Therefore, angle 1 is 45 degrees.

Just Plug in the -3 for x in the equation

10-2(-3-6)

=

10+6+12

=

16+12

=

28

Some examples of he most common types of retirement accounts are:

The 401 (k) is a type of requirement plan that allows employees to contribute a percentage of their wages to individual accounts. Some of it's features are:

The term 401(k) is derived from the section of the US Internal Revenue Code that established the 401(k) retirement plan.

SEP is the accronym for Simplified Employee Pension. SEP IRA is a retirement savings plan a sort of domesticated plan that employers created to the advantage of themselves and their employees.

The advantages of the SEP IRA are:

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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Tom gets 32 sweets, and Tim gets 40 sweets

4:5

4+5 = 9

4/9 of 72 = 32

4:5

4+5 = 9

5/9 of 72 = 40

I'm not that sure cuz I took this a long time ago

but I think 1 of them took 4 and the other 1 took 5

The probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

To find the probability that at least one of the selected calculators is defective, we can use the concept of complementary probability. We calculate the probability of none of the selected calculators being defective and subtract it from 1.

The total number of calculators in the group is 20 (defective) + 29 (no defects) = 49 calculators.

The probability of selecting a non-defective calculator in one draw is 29/49. Therefore, the probability of selecting four non-defective calculators in a row is (29/49)^4.

To find the probability of at least one defective calculator, we subtract the probability of none being defective from 1:

P(at least one defective) = 1 - P(none defective)

                       = 1 - (29/49)^4

Using this formula, we can calculate the probability.

P(at least one defective) ≈ 1 - (29/49)^4 ≈ 1 - 0.2225 ≈ 0.7775

Therefore, the probability that at least one of the four selected calculators is defective is approximately 0.7775, or 77.75%.

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\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=2x-6\\ a=x+3\\ b=x+1 \end{cases}\implies A=\cfrac{(2x-6)[(x+3)+(x+1)]}{2} \\\\\\ A=\cfrac{(2x-6)[2x+4]}{2}\implies A=\cfrac{(2x-6)2(x+2)}{2}\implies A=(2x-6)(x+2) \\\\\\ A=2x^2+6x+4x+12\implies A=2x^2+10x+12\)

The radius of the cylinder is of 17 inches.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for this problem are given as follows:

V = 289π in³, r = 1 in.

Hence the radius of the cylinder is obtained as follows:

r² = 289

\(r = \sqrt{289}\)

r = 17 inches.

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The equation that have the same solution is 230p - 1010 = 650p - 400 - p

From the question, we have the following parameters that can be used in our computation:

2.3p - 10.1 = 6.49p - 4

Multiply through the equation by 100

So, we have

230p - 1010 = 649p - 400

Express 649p as 650p - p

So, we have

230p - 1010 = 650p - 400 - p

Hence, the equation is 230p - 1010 = 650p - 400 - p

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Question

use properties to rewrite the given equation. which equations have the same solution as 2.3p - 10.1 = 6.49p - 4

The equation that represents the given equation model is: 4.99p + 3.79c = 35

The most common form of representing a linear equation model is:

y = mx + b

where:

m is slope

b is y-intercept

Let the number of pounds of Pecans she can buy be p

Let the number of pounds of cashews she can buy be c

We are told that:

Cost of pecans = $4.99 per pound

Cost of Cashews = $3.79 per pound

Thus, for $35 to spend we have the equation as:

4.99p + 3.79c = 35

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To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.

You can use the following MATLAB code:

```matlab

x = -10:0.5:10; % Generate x values

f = -4*x.^2 + sin(5*x); % Calculate f(x)

df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative

% Saving results to file

output = [x', f', df_dx'];

dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');

1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.

2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.

3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.

4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.

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Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

The amount Janelle will earn with the compound interest option can be calculated using the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:
A is the total amount after interest has been compounded
P is the principal amount (the initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year
t is the number of years

In this case, Janelle deposits 3,000 at an interest rate of 3% for 7 years. We'll compare the simple interest and compound interest options.

For the simple interest option, the interest is calculated using the formula:

I = P * r * t

Where:

I is the total interest earned

Using the given values, we can calculate the interest earned with simple interest:

I = 3000 * 0.03 * 7
I = 630

Now, let's calculate the total amount earned with the compound interest option.

Since the interest is compounded monthly, the interest rate needs to be divided by 12 and the number of years needs to be multiplied by 12:

r = 0.03/12

t = 7 * 12

Using these values, we can calculate the total amount with compound interest:

\(A = 3000 * (1 + 0.03/12)^{(7*12)}\)

A ≈ 3,729.19

To find out how much more Janelle will earn with the compound interest option, we subtract the initial deposit from the total amount with compound interest:

Difference = A - P
Difference = 3,729.19 - 3,000
Difference ≈ 729.19

Therefore, Janelle will earn approximately 729.19 more with the compound interest option compared to the simple interest option over a period of 7 years.

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The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.

To calculate the area of the monitor display in square meters, we need to convert the measurements from inches to meters.

First, let's convert the width:

15.51 inches = 0.3937 meters

Next, let's convert the height:

11.63 inches = 0.2946 meters

Now we can calculate the area:

Area = width x height

Area = 0.3937 meters x 0.2946 meters

Area = 0.1158 square meters

Therefore, the area of the monitor display in square meters is 0.1158.

The area of the monitor display can be calculated by multiplying the width and height of the monitor. However, as the given measurements are in inches, we need to convert them to meters to calculate the area in square meters. We converted the width to 0.3937 meters and the height to 0.2946 meters. Then, we calculated the area by multiplying the width and height, which gave us a result of 0.1158 square meters. Therefore, the area of the monitor display in square meters is 0.1158.

The area of the monitor display in square meters is 0.1158, which is calculated by converting the width and height from inches to meters and then multiplying them.

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The first series, Συ, is an infinite geometric series with the common ratio of b. The second series, Σ b k-1, is an infinite series with terms that are just powers of b.

For the first series to converge, we need the absolute value of b to be less than 1, so -1 < b < 1. For any other value of b, the series will diverge.

The second series, on the other hand, will only converge if b is less than 1 in absolute value, so -1 < b < 1. If b is greater than or equal to 1, the series will diverge.

(a) The first series, Σu, is a constant series, meaning that every term in the series is the same constant value (u). The second series, Σ(b^k-1), is a geometric series with a common ratio of b.

(b) For the constant series Σu, it will only converge if the constant value is 0. Otherwise, the series will either grow infinitely or decrease infinitely, depending on the sign of the constant.

(c) For the geometric series Σ(b^k-1), it will converge if the common ratio (b) is between -1 and 1 (i.e., -1 < b < 1). If the common ratio is outside of this range, the series will not converge.

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To solve an inequation for x you have to follow the same procedure you follow when solving equations, with exception that when you multiply/divide by a negative number the direction of the inequality gets inverted.

So to solve the given inequelity for x, you have to pass "+49" to the other side of the expression. To do so, subtract it from both sides of the expression:

The result of the inequality is x > -21

\(\mathfrak{7x(-4)} \)

\(\mathfrak{=7x*-4} \)

\(\boxed{\mathfrak{=-28x}} \)

\(\mathbb{MIREU} \)

Answer:

The answer to this question is 0

Step-by-step explanation:

see attached photo for explanation

By using beta and gamma function, the solution that prove that C Vsin 8 de x de Vsin 8 = IT is C ∫∫ Vsin⁸(θ) dθ dx / ∫∫ Vsin²(θ) dθ dx = 4C / 3π

The integral to be evaluated is:

C ∫∫ Vsin⁸(θ) dθ dx / ∫∫ Vsin²(θ) dθ dx

Simplify the denominator using the beta function:

∫∫ Vsin²(θ) dθ dx = ∫₀^π/2 ∫₀^L Vsin²(θ) dxdθ

= L ∫₀^π/2 sin²(θ) dθ = L β(2,1/2) / 2

where β(a,b) = Γ(a)Γ(b) / Γ(a+b) is the beta function.

By using the double angle identity for the sine function, express sin⁸(θ) as a product of sin²(θ) and sin⁶(θ):

sin⁸(θ) = (sin²(θ))³ sin²(2θ)

Then, Use the substitution u = cos(θ) and the identity sin(2θ) = 2sin(θ)cos(θ) to express the integral as:

C ∫∫ Vsin⁸(θ) dθ dx / ∫∫ Vsin²(θ) dθ dx

= C ∫₀^π/2 ∫₀^L V(sin²(θ))³ sin²(2θ) dxdθ / (L β(2,1/2) / 2)

= 2C / β(2,1/2) ∫₀^1 u³(1-u²) du ∫₀^π/2 sin²(2θ) dθ

The inner integral can be evaluated using the identity sin²(2θ) = 1/2 - 1/2cos(4θ):

∫₀^π/2 sin²(2θ) dθ = π/4

The outer integral can be evaluated using the substitution v = 1 - u² and the beta function:

∫₀^1 u³(1-u²) du = 1/2 ∫₀^1 v^(1/2-1) (1-v)^(3/2-1) dv

= 1/2 β(3/2,5/2) = 3π / 16

Substitute these results back into the original expression

Thus,

C ∫∫ Vsin⁸(θ) dθ dx / ∫∫ Vsin²(θ) dθ dx

= 2C / β(2,1/2) (3π / 16) (π/4)

= C / β(2,1/2) (3π² / 32)

Using the reflection formula for the gamma function, we can express β(2,1/2) as:

β(2,1/2) = Γ(2)Γ(1/2) / Γ(5/2) = π / 4

Substitute this result into the expression, we have;

C ∫∫ Vsin⁸(θ) dθ dx / ∫∫ Vsin²(θ) dθ dx

= C / (π/4) (3π² / 32)

= 4C / 3π

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The interquartile range for the data-set is given as follows:

3 first cousins.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

The ordered data-set for this problem is given as follows:

2, 5, 6, 7, 8, 8, 8, 10, 10.

The cardinality of the data-set is given as follows:

n = 8, as the data-set has eight elements.

The quartiles for the data-set are given as follows:

Hence the interquartile range for the data-set is given as follows:

8 - 5 = 3 first cousins.

The problem asks for the interquartile range of the data-set.

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Answer:

Switch x and y.

\(\frac{1}{8} (x-4)^{3}\)

Step-by-step explanation:

Switch the x and y, so the equation would read as:

\(x = \sqrt[3]{8y} +4\)

Then solve for y.

\(x = \sqrt[3]{8y} + 4\\\\\\x - 4 = \sqrt[3]{8y} \\\\\\(x-4)^{3} = 8y\\\\\\\\\\\frac{1}{8} (x-4)^{3}\)

#teamtrees #WAP (Water And Plant)

Answer:

Step-by-step explanation:

-3/2x

opposite reciprocal of 2/3 would be -3/2

hope this helps <3