7. Find dy for each of the following. dx a) y= X+3 x-5 b) v=zV4x + +3
8. The cost function is given by C(x) = 4000 + 500x and the revenue function is given by R(x)= 2000x - 60x’ where x is in thousands and revenue and cost is in thousands of dollars. a) Find the profit function. b) Find the larger break-even quantity.

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9

Answer:

490

Step-by-step explanation:

The lateral surface area of the rectangular prism given in the picture is 36 cm ²

The lateral surface area of a rectangular prism can be found by the formula :

= 2 x height x ( Length + Breadth )

Height = 2 cm

Length = 3 cm

Breadth = 6 cm

The lateral surface area is therefore:

= 2 x 2  x ( 3 + 6 )

= 4 x 9

= 36 cm ²

In conclusion, the lateral surface area is 36 cm ².

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Answer:

4cm because area is length times width

Step-by-step explanation:

Answer:

4 cm2

Step-by-step explanation:

\(area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} \)

Step-by-step explanation:

sin90 = sinx

19 17

sin x=0.8947

x=63.47°

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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Answer:

\(y=2x-2\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (0,-2) and (2,2)

\(=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\) as m:

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(2=2(2)+b\\2=4+b\)

Subtract 4 from both sides to isolate b

\(2-4=4+b-4\\-2=b\)

Therefore, the y-intercept of the line is -2. Plug this back into \(y=2x+b\)

\(y=2x-2\)

I hope this helps!

Answer:

18

Step-by-step explanation:

Let the required number be x.

write the expression for the difference of the number and 4.

=> x - 4

the question equates 5 times the difference with some other terms, so find the equation for 5 times the difference.

=> 5( x - 4)

The equation in Step 2 is said to be equal to "two less than four times the number".

Find the expression for four times the number

=> 4x

Find the expression for two less than 4x.

=> 4x - 2

Equate the terms that it says are equal:

=> 5(x - 4) = 4x - 2

distributing 5 within the parenthesis:

=> 5x - 20 = 4x - 2

taking like terms on one side:

=> 5x - 4x = 20 - 2

=> x = 18

and x was the required number, so the answer Is 18.

Given the expression: (3.2+0.2)2+12​

To get the value of the expression, do the following:

1. add 3.2 and 0.2

2. multiply 3.4 by 2

3. add 6.8 and 12

So, the value of the expression = 18.8

The value of the given rational expression when x = 5 is: -2.

A rational expression can be defined as the quotient of two polynomials, that is, a fraction having its numerator and denominator expressed as polynomials.

Given the expression, 15 - x / x - 10, when x = 5, substitute the value of x into the rational expression:

15 - 5 / 5 - 10

10/-5

= -2.

The value of the rational expression is: -2.

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Answer:

Quadrant 4

Step-by-step explanation:

Csc = 1/sin

Cos is positive in quadrants 1 and 4

Sin is negative in quadrants 3 and 4

The probability that a mother is a carrier is approximately 0.018.

The Hardy-Weinberg equilibrium formula can be used to determine the frequency of alleles in a population, as well as to make predictions about the probability of certain traits occurring in the next generation. In this case, we are interested in determining the probability that a mother is a carrier of a particular disease, given that the frequency of the disease is 1/4300.

To use the Hardy-Weinberg formula, we need to know the frequency of both the dominant and recessive alleles in the population. Assuming that the disease allele is recessive (i.e., carriers are heterozygous), we can represent the frequency of the disease allele (q) as

\(q = \sqrt{(1/4300)} = 0.004644.\)

To determine the frequency of carriers (heterozygotes), we can use the formula p * q * 2,

where p represents the frequency of the dominant allele (which is equal to 1 - q in this case).

Therefore:

\(p = 1 - q \\ = 1 - 0.004644 = 0.995356\\q = \sqrt{(1/4300} = 0.004644\\p * q * 2 =0.018\)

Approximately 1.8% of the population will be carriers of the disease allele. This means that the probability that a mother is a carrier is approximately 0.018.

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Answer: The answer is A.addition property of equality

Hope I helped

Pkease mark me as brainliest!

Answer:

the first equation could be something along the lines of \(y=3x^{2}\) then the second is \(y=3x^{2} -3\\\)

Step-by-step explanation:

this is how shifting works

Answer:

0.1

Step-by-step explanation:

You are adding on 0.1 for each line and since G is the first line after 0, it is 0.1.

Derivative of g(2x) at x=1 is 26. To find F'(1), we can use the product rule for differentiation.

Let's break down the given information and apply the rules of differentiation.

F(x) = f(x)g(2x)

f(1) = 3

f'(1) = 1

g(2) = 2

g'(2) = 4

To find F'(1), we need to differentiate F(x) with respect to x using the product rule.

The product rule states that for two functions u(x) and v(x), the derivative of their product is given by:

(d/dx)(u(x)v(x)) = u'(x)v(x) + u(x)v'(x)

In our case, u(x) = f(x) and v(x) = g(2x). Let's differentiate F(x) = f(x)g(2x) using the product rule:

F'(x) = f'(x)g(2x) + f(x)g'(2x)(2)

Now, we need to evaluate F'(1) by substituting the given values:

F'(1) = f'(1)g(2) + f(1)g'(2)(2)

     = (1)(2) + (3)(4)(2)

     = 2 + 24

     = 26

Therefore, F'(1) = 26.

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Suppose F(x) = f(x)g(2x). If f(1) = 3, f'(1) = 1, g(2) = 2, and g' (2) = 4, find F'(1). F'(1) = NOTE: This problem is a bit subtle. First, find the derivative of g(2x) at x = 1.  Derivative of g(2x) at x=1 is

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

The method that intervention development will be influenced by the ABC data that are gathered on the function of the target behavior is through the determination of how the ABC contingency can be changed to encourage more positive behavior.

By identifying the functional reinforcers that sustain problem behavior, practitioners can create therapies that are more effective (i.e., from a smaller pool of potential interventions to choose from) and efficient.

Linking therapies to the outcomes of functional assessments has become accepted clinical practice and is now covered by both federal and state laws. This represents a significant and advantageous change in the method of behavioral intervention.

Therefore,

Determine how the ABC contingency can be altered to promote more positive behavior. (Option (a) is correct one )

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The correct equation that describes the relationship between a sine and cosine wave is given by the trigonometric identity:

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

In mathematics, sine (sin) and cosine (cos) are trigonometric functions that represent the ratios between the sides of a right triangle.

The relationship between these two functions is described by the fundamental trigonometric identity, known as the Pythagorean identity. The Pythagorean identity states that the square of the sine of an angle plus the square of the cosine of the same angle is always equal to 1.

The equation \(\sin^2(x) + \cos^2(x) = 1\) demonstrates this relationship. It states that if you square the value of the sine of an angle and add it to the square of the cosine of the same angle, the result will always be equal to 1. This equation holds true for any angle.

This relationship is significant because it allows us to relate the values of sine and cosine waves. As a result, we can express one trigonometric function in terms of the other. For example, if we know the value of the sine of an angle, we can determine the value of the cosine using the Pythagorean identity, and vice versa.

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6,800 $ is samantha's net worth in dollars.

What net worth means?

How you calculate your net worth?

Samantha total assets = 4000 + 2500 + 12000 = 18500$

Samantha total debts = 10100 + 1600 = 11700$

Samantha total worth = 18,500 - 11,700 = 6,800 $

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Answer: Volume of prism is LxWxH which is 360

Step-by-step explanation:

Answer:

F) x=160

Step-by-step explanation:

Hope this helps.

Answer:

H

Step-by-step explanation:

The correct option is d. Neither Type I nor Type II error.  The concepts of Type I and Type II errors, and to use appropriate methods and sample sizes to minimize the risk of making such errors.

To understand why, let's first define Type I and Type II errors. Type I error is rejecting a true null hypothesis, while Type II error is failing to reject a false null hypothesis.

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Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

\(\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}\)

Here 5\(\neq 3\)

Hence inequality holds

#2

\(\\ \sf\longmapsto 7-(4+3)=(4+3)-7\)

\(\\ \sf\longmapsto 7-7=7-7\)

\(\\ \sf\longmapsto 0=0\)

Equality holds

#3

\(\\ \sf\longmapsto (x+y)+1=x+(y+1)\)

Equality holds

Done

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

The well-known Pythagorean Theorem, which states that the square of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle, states that the square on the hypotenuse (the side opposite the right angle) is equal to the square on the legs of a right triangle. Pythagorean Theorem is written as a2 + b2 = c2. Alternatively, the square of the hypotenuse of a right triangle is equal to the sum of the squares of its two legs.

From the given triangle using Pythagoras theorem,

       Assume the triangle as ABC where AB=y BC=z and AC=28

        D is the altitude from B and BD=x

         AD=12 so CD=16

Now using Pythagoras theorem,

           (y)2 = (12)2 + (x)2 - eq1

           (z)2 = (x)2 + (16)2 -eq2

           (y)2 + (z)2 =(28)2 -eq3

  Substitute eq 1 and 2 in 3

        ⇒2(x)2 + (12)2 + (16)2 =(28)2

        ⇒(x)2 =192

        ∴x =8√3

We can solve this question by using Pythagoras Theorem . The value of x in the given question is 8√3.

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