Please help!!! Thank You!!! >_

Answer:

1.)x=-2

2.)-3/4 simplified

3.)\(3x^2-a/x^3-27\)

4.)\(x^2-4y/2x^3-16y^6\)

Answer:

1. x=-2

2. -3/4 simplified

3. 3x^2 - a/ x^3 - 27

4. X^2 - 4y / 2x^3 - 16y^6

Step-by-step explanation:

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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The mean of the sampling distribution is 0.63 and the standard error of the distribution is approximately 0.0513.

Firstly, the mean of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the expected value of a binomial distribution. Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the mean of the distribution as follows: mean = n * p
= 92 * 0.63
= 57.96
Therefore, the mean of the sampling distribution is approximately 57.96.

The standard error of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the standard deviation of a binomial distribution. The standard deviation of a binomial distribution is given by the formula: standard deviation = sqrt(n * p * (1 - p)). Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the standard error of the distribution as follows: standard error = sqrt(n * p * (1 - p)) / n
= sqrt(92 * 0.63 * 0.37) / 92
= 0.056
Therefore, the standard error of the sampling distribution is approximately 0.056.

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The metric unit from pounds to tons is 250 pounds = 0.125 tons

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

250 pounds = how many tons

As a general rule, we have

1 pound = 0.0005 tons

Multiply both sides of the equation by 250

So, we have

250 * 1 pound = 0.0005 tons * 250

Evaluate the products

250 pounds = 0.125 tons

Hence, the conversion is 250 pounds = 0.125 tons

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If the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.

To calculate the number of millicuries that should be given to a patient, you have to multiply the dose per kilogram of body weight by the patient's body weight in kilograms.  

Here is the formula:

Millicuries to be given = dose per kilogram of body weight × body weight in kilograms

So, if the patient must receive 0.190 millicuries of Na-24 per kilogram of body weight, 10.4928 millicuries should be given to a patient who weighs 55.2 kilograms.

That is,0.190 millicuries /kg × 55.2 kg = 10.4928 millicuries

Therefore, 10.4928 millicuries of Na-24 should be given to a patient who weighs 55.2 kilograms.

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The equation has integer solutions for an infinite number of values of k.

(3k + 5)(k - 7) = m^2

Step 1: Expand the equation and rearrange it:

3k^2 - 16k - 35 = m^2

Step 2: Notice that the left-hand side of the equation is a quadratic expression in terms of k. To determine the values of k that yield integer solutions, we need to find the discriminant, which must be a perfect square:

Δ = (-16)^2 - 4 * 3 * (-35) = 256 + 420 = 676 = 26^2

Step 3: Since the discriminant is a perfect square, there exists at least one value of k that yields an integer solution. However, we need to determine if there are additional values. To find them, we solve for k using the quadratic formula:

k = (16 ± √(26^2)) / (2 * 3) = (16 ± 26) / 6

Step 4: Simplify the expression:

k = (8 ± 13) / 3

This gives us two potential values for k: k₁ = 7 and k₂ = -5/3.

Step 5: Substitute these values of k back into the original equation to check if they yield integer solutions:

For k = 7: (3(7) + 5)(7 - 7) = (26)(0) = 0, which is a perfect square.

For k = -5/3: (3(-5/3) + 5)(-5/3 - 7) = (0)(-26/3) = 0, which is also a perfect square.

Step 6: Therefore, the equation has integer solutions for the two values of k found in Step 4, k = 7 and k = -5/3. Thus, there are two integer values of k for which the equation has integer solutions.

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Answer:

270 dollars for a year, so 22.50 times 12

The cost of the membership for a year will be $270.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A racquetball club membership costs $22.50 per month.

We know that in a year, the number of months is 12.

Then the cost of the membership for a year will be given by the multiplication of the numbers 22.50 and 12.

Cost = 22.50 x 12

Cost = $270

The cost of the membership for a year will be $270.

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Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

First, determine the number of miles covered per day:

Her car already has 45,300 miles on it.

(a)The total number of miles, f(x), Stefanie's car will have been driven after x more days will be:

(b) Stephanie works 4 days a week.

After 3 weeks, the number of days worked = 4 x 3 = 12 days

Therefore, when x=12:

Answer: Therefore, the y value rounded to the nearest tenth is 47.9.

Step-by-step explanation:

To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:

180° - 42° - 85° = 53°

Then, use this angle and the opposite side (31) to solve for y:

tan(53°) = y/31

y = 31 * tan(53°)

y ≈ 47.9

Therefore, the value of y rounded to the nearest tenth is 47.9.

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

No solution

Step-by-step explanation:

5x - (-x + 3) = -3 + 6x + 6     Distributive property ( the negative sign in front of the parentheses is -1 even if it doesn’t say.

5x + x - 3 = -3 + 6x + 6        Combine like terms

6x - 3 = 3 + 6x

Answer: No solution

It is no solution because 6x - 3 is not equal to 6x + 3.

I hope this helped and please mark me as brainliest!

Btw you are smart. You just have to try your best! :) Keep trying!

Answer

(3x-3)

Step-by-step explanation:

The last sentence of the proof states, "By the Pythagorean theorem, since a squared plus b squared equals c squared, the sum of f and e is equal to c."

The proof establishes the proportions and similarities between the triangles in the diagram. It shows that the ratios of corresponding sides in the similar triangles hold true, leading to the proportions a/c = c/a and b/c = c/e. These proportions can be rearranged to obtain a2 = cf and b2 = ce.

The next step in the proof adds b2 to both sides of the equation a2 = cf, resulting in a2 + b2 = cf + b2. Since b2 = ce, we substitute ce into the equation, giving us a2 + b2 = cf + ce.

The final step applies the converse of the distributive property, which states that if a + b = c, then a(b + d) = ab + ad. In this case, we have a2 + b2 = cf + ce, which can be rewritten as a2 + b2 = c(f + e).

Therefore, the last sentence of the proof concludes that because a2 + b2 = c2 (as derived from the previous steps), it follows that f + e = c. This statement completes the proof and establishes the relationship between the lengths of the sides and the altitude in the right triangle. Option C is correct.

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The exact values of the remaining trigonometric functions are listed below:

Case 3: cos θ = 3 / 5, tan θ = 4 / 3, cot θ = 3 / 4, sec θ = 5 / 3, csc θ = 5 / 4

Case 4: sin θ = √11 / 6, tan θ = √11 / 5, cot θ = 5√11 / 5, sec θ = 6 / 5, csc θ = 6√11 / 11

Case 5: cos θ = 8√73 / 73, sin θ = 3√73 / 73, tan θ = 3 / 8, cot θ = 8 / 3, csc θ = √73 / 3

Case 6: sin θ = 1 / 2, cos θ = √3 / 2, tan θ = √3 / 3, sec θ = 2√3 / 3, csc θ = 2

In this problem we find four cases of trigonometric functions, whose exact values of remaining trigonometric functions must be found. The trigonometric functions are defined below:

sin θ = y / √(x² + y²)

cos θ = x / √(x² + y²)

tan θ = y / x

cot θ = x / y

sec θ = √(x² + y²) / x

csc θ = √(x² + y²) / y

Now we proceed to determine the exact values of the trigonometric functions:

Case 3: y = 4, √(x² + y²) = 5

x = √(5² - 4²)

x = 3

cos θ = 3 / 5

tan θ = 4 / 3

cot θ = 3 / 4

sec θ = 5 / 3

csc θ = 5 / 4

Case 4: x = 5, √(x² + y²) = 6

y = √(6² - 5²)

y = √11

sin θ = √11 / 6

tan θ = √11 / 5

cot θ = 5√11 / 5

sec θ = 6 / 5

csc θ = 6√11 / 11

Case 5: x = 8, √(x² + y²) = √73

y = √(73 - 8²)

y = 3

cos θ = 8√73 / 73

sin θ = 3√73 / 73

tan θ = 3 / 8

cot θ = 8 / 3

csc θ = √73 / 3

Case 6: x = √3, y = 1

sin θ = 1 / 2

cos θ = √3 / 2

tan θ = √3 / 3

sec θ = 2√3 / 3

csc θ = 2

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Answer:

A. The total number of hours it takes to make dresses and skirts each month

Step-by-step explanation:

By multiplying the amount of time to make an item by the amount of items made, you get the total amount of time spent on making those items. Therefore the total time spent making dresses is 8x, and the total time spent making skirts is 3y, which means that the total time to make both is 8x+3y.

Since the terms oscillate but do not approach one single value, the sequence appears to diverge

To find the first n terms of the sequence with the given terms a1 = 1, a2 = 2, and the rule for n ≥ 2, \(an = 1/2((an-1)(an-2))\), let's use n = 30.

1. Start with the given terms: a1 = 1 and a2 = 2.
2. Use the formula to find the next terms, up to n = 30.

It's important to calculate some of the terms in the sequence to determine if it converges or diverges. However, due to the character limit, I can't list all 30 terms here. Nevertheless, let's calculate the first few terms:

⇒ \(a_{3}= \frac{1}{2} ((a_{3})(a_{3})\)

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

= 1
⇒\(= a_{4}= \frac{1}{2} ((a_{3})(a_{2}))\)

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

= 1
⇒\(a_{5}= \frac{1}{2} ((a_{4}) (a_{3}))\)

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

= 0.5

By examining the terms of the sequence, we can see that they oscillate but do not approach one single value. Therefore, the sequence appears to diverge.

Since the terms oscillate but do not approach one single value, the sequence appears to diverge.

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Answer:

P(x)=2x-60

Step-by-step explanation:

From the information provided, the function P(x) would indicate that the total profit you earned from selling x cups of lemonade is equal to the result of multiplying the price per cup for the number of cups minus the total cost. This cost is the result of adding up the cost of buying wood plus the cost per cup for the number of cups:

P(x)=5x-(60+3x)

P(x)=5x-60-3x

P(x)=2x-60

According to this, the function is: P(x)=2x-60.

Answer:

40 I think

Step-by-step explanation:

75+40x=40 I think

Answer:

2 x 11

Step-by-step explanation:

Hope that helps!!!!

-scsb17hm

Answer:

2•11

Step-by-step explanation:

2 and 11 are both prime numbers and can be multiplied together to get 22

Answer:

5:15 :))

Step-by-step explanation:

you would do 1+3(=4) and then divide 20 by 4(=5)

5×1=5

5×3=15

\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.

A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.

This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").

As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.

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Answer: multiply to get 52.7

Step-by-step explanation: scale factor enlargement means the number they give you (6.2) the new size.

in this case would be 8.5 times 6.2  

I hope this helps!

B) 2 hours and 15 minutes

Jill spent 3 hours at the mall and it took Jack 45 minutes to get back home.

3.00 - 0.45 = 2.15

Have a luvely day!

Answer:

A, C, D, E

Step-by-step explanation:

Input your equations and tables into Desmos graphing to get your answers.

Answer: should be B

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

120 x 1.1 = 132