PLEASE HELP:’)

The revenue for a company producing widgets is given by y = -20^2- 50x + 100, where x
is the price in dollars for each widget. The cost for the production is given by y = 30x -
10. Determine the price that will allow the production of widget to break even.

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Answer:

-10 = -b/4

-10 x 4 = -b

-40 = -b

40 = b

hence, b = 40

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.

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Answer:

-40

Step-by-step explanation:

-10=-b/4

-40 = b (multiply 4 on both sides)

To determine the percentage of defective radios, we divide the number of defective radios by the total number of radios inspected and then multiply by 100.

In this case, out of 1,600 radios inspected, 112 were defective. By calculating the percentage, we can determine the proportion of defective radios in relation to the total.

To find the percentage of defective radios, we divide the number of defective radios (112) by the total number of radios inspected (1,600). This gives us a fraction, 112/1600. To convert this fraction into a percentage, we multiply it by 100.

Calculating the percentage: (112/1600) * 100 = 7%.

Therefore, the percentage of defective radios is 7%. This means that 7% of the radios inspected were found to be defective.

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use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

Answer:

The incorrect comparison is D. -6 > -4

To show work:

-6 = -6

-4 = -4

-6 < -4 is incorrect, so D is incorrect.

Answer:

SOH CAH TOA.....Cosine=adj/hyp...... __cosX=16/30___

SOH CAH TOA,,,,,, Tangent= opp/adj-------- Tan X=36/27

Step-by-step explanation:

Answer:

2.1021,2.104,2.12,2.2

Step-by-step explanation:

I think I got it right, sorry if it wrong!

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

x should equal 16

Step-by-step explanation:

Answer:

3/4 x 12/1= 9

Step-by-step explanation:

I answered this earlier but it deleted it.

So you would put the 12 over one to make it a fraction and multiply straight across

Answer: 6

Step-by-step explanation:

Let's look at two points on this line (1, 5), and (0, -1)

Using the slope formula (\(\frac{y_2-y_1}{x_2-x_1}\))

\(\frac{((5) - (-1))}{(1)-(0)}\)

\(\frac{6}{1}\)

Hope it helps :)

Answer:

Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)

From point (0, -1) to point (1, 6) would look like this

(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7

Since you already have you y-intercept (where x is 0), your whole equation would be this:

y = 1/7x - 1

Answer: 16

Step-by-step explanation:

Standard deviation is 2

Margin error for the problem is 1

Probability 95%, that means thet the siginficance level α is 1 – p

α = 1 – 0.95 = 0.05

margin of error (ME) can be defined as follows

ME = Z(α/2) * standard deviation/ √n

Where n is the sample size

Z(0.05/2) = Z(0.025)

Using a z table Z = 1.96

Now, replacing in the equation and find n

1 = 1.96 * 2/ √n

1 = 3.92 / √n

√n = 3.92

n = 3.92^2

n = 15.36 = 16

i hope this work for you

Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Angle opposite the side of length 89 is 62.8° (approximately). Angle opposite the side of length 145 is 50.2° (approximately). Angle opposite the side of length 190 is 66.9° (approximately).

The question requires us to find out the value of each angle of a triangle given the lengths of its sides which are 145, 190, and 89 cm. Using the law of cosines given in Appendix E, we can use the following formula to find the angles of the triangle cos A = (b² + c² - a²) / 2bccos B = (a² + c² - b²) / 2accos C = (a² + b² - c²) / 2abWhere A, B, and C are the angles of the triangle, and a, b, and c are the sides opposite to the respective angles. We know the length of the sides of the triangle to be 145, 190, and 89 cm. We can label them as follows: a = 145 cm, b = 190 cm, and c = 89 cm. Now we can substitute these values into the above formula to calculate each angle as follows: Angle opposite side of length 89: cos A = (b² + c² - a²) / 2bc= (190² + 89² - 145²) / (2 * 190 * 89)= 0.4544A = cos-1(0.4544)A = 62.8° (approximately)Angle opposite side of length 145: cos B = (a² + c² - b²) / 2ac= (145² + 89² - 190²) / (2 * 145 * 89)= 0.6275B = cos-1(0.6275)B = 50.2° (approximately)Angle opposite side of length 190: cos C = (a² + b² - c²) / 2ab= (145² + 190² - 89²) / (2 * 145 * 190)= 0.4521C = cos-1(0.4521)C = 66.9° (approximately)

Therefore, the angle opposite the side of length 89 is approximately 62.8°, the angle opposite the side of length 145 is approximately 50.2°, and the angle opposite the side of length 190 is approximately 66.9°. Angle opposite the side of length 89 is 62.8° (approximately). Angle opposite the side of length 145 is 50.2° (approximately). Angle opposite the side of length 190 is 66.9° (approximately). Given sides of a triangle are 145, 190, and 89 cm. Using the law of cosines given in Appendix E, we can use the following formula to find the angles of the triangle. cos A = (b² + c² - a²) / 2bccos B = (a² + c² - b²) / 2accos C = (a² + b² - c²) / 2ab. We know the length of the sides of the triangle to be 145, 190, and 89 cm. We can label them as follows: a = 145 cm, b = 190 cm, and c = 89 cm. Now we can substitute these values into the above formula to calculate each angle as follows: Angle opposite side of length 89:cos A = (b² + c² - a²) / 2bc= (190² + 89² - 145²) / (2 * 190 * 89)= 0.4544A = cos-1(0.4544)A = 62.8° (approximately)

Angle opposite side of length 145:cos B = (a² + c² - b²) / 2ac= (145² + 89² - 190²) / (2 * 145 * 89)= 0.6275B = cos-1(0.6275)B = 50.2° (approximately)Angle opposite side of length 190:cos C = (a² + b² - c²) / 2ab= (145² + 190² - 89²) / (2 * 145 * 190)= 0.4521C = cos-1(0.4521)C = 66.9° (approximately)Therefore, the angle opposite the side of length 89 is approximately 62.8°, the angle opposite the side of length 145 is approximately 50.2°, and the angle opposite the side of length 190 is approximately 66.9°.Hence, we can conclude that the angles of the triangle are 62.8° (approximately), 50.2° (approximately), and 66.9° (approximately).

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The solutions of the system of equations are (0, 4) and (-1, 1)

Here we want to solve the system of equations below:

y = 3x^2 + 6x + 4

y = -3x^2 + 4

y is already isolated in both equations, then we can write:

3x^2 + 6x + 4 = -3x^2 + 4

Now simplify this:

3x^2 + 6x + 4 + 3x^2 - 4 = 0

6x^2 + 6x = 0

6*(x^2 + x) = 0

6*(x)*(x + 1) = 0

The two solutions are:

x = 0 and x = -1

Evaluating these in any of the quadratic equations we will get:

if x = 0

y = -3*0^2 + 4 = 4

if x = -1

y = -3*(-1)^2 + 4 = -3 + 4 = 1

So the solutions are (0, 4) and (-1, 1)

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Answer:

the answer is B

Step-by-step explanation:

your welcome

Answer:

y=3x-17

Step-by-step explanation:

Answer:

D. X<9

Step-by-step explanation:

 Move all terms not containing x to the right side of the inequality.

Answer:

Is the solution of the a inequality

D. x<9

Answer:

Answer and Explanation: The symmetric bell shape of the normal curve implies that the skewness of the distribution of the data is 0, and most of the observation is located at the middle of the distribution. The shape of the normal distribution is not positive and negative skewed, the shape seems to be bell-shaped.

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Watermelon would be moving at a speed of 39.2m/s.

When an object is dropped from a height while ignoring air resistance, then it's speed will increase at a constant rate because of acceleration due to gravity. The acceleration due to gravity on the earth is 9.8m/s^2.

In this case, to calculate the speed we have to use the formula:

v = gt

where, v = final velocity,

           g = acceleration due to gravity,

           t = time.

Substituting the values when time (t) is 4s, we get

v = 9.8 * 4

v = 39.2m/s

Therefore, after 4 seconds of falling, watermelon would be moving at a speed of 39.2m/s.

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The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

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To solve the equation (52/x) = (9.5/3.25), we can use cross multiplication.

Cross multiplication involves multiplying the numerator of the first fraction by the denominator of the second fraction, and multiplying the denominator of the first fraction by the numerator of the second fraction.

In this case, we have:
52 * 3.25 = 9.5 * x

By multiplying the numbers on each side, we get:
169 = 9.5x

To isolate x, we divide both sides of the equation by 9.5:
169/9.5 = x

This simplifies to:
x = 17.789

So, the value of x that satisfies the equation is approximately 17.789.

To solve the equation (52/x) = (9.5/3.25), we use cross multiplication and then isolate x by dividing both sides by 9.5. The solution is x = 17.789.

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Answer:456

Step-by-step explanation:

First you grab the crabby patty formula and then you decide that by 3 multiply it by 6 then after all of that you do the equation 64%78+4637=456 so that’s how I got my answer.

Step-by-step explanation:

solution:

given,

no. of red balls [n(R)] = 3

no. of white balls [n(W)] = 5

no. of green balls [n(G)] = 10

no. of sample events [n(S)] = 3+5+10 = 18

no. of white or green ball [n(WUG)] = 5+10 = 15

no. of favourable events [n(E)] = 15

probability of favourable events [P(E)] = ?

We know,

P(E) = n(E) / n(S)

= 15/18

= 5/6

Therefore if a ball is chosen at random, the probability that it is either white or green is 5/6.

The amount of water in the tank can be calculated by multiplying 3/4 to the volume of the tank: 3/4 x V = (3/4)L x W x H.

To calculate the amount of water in the aquarium's fish tank in the shape of a prism,

you would need to know the dimensions of the tank and then multiply the volume of the tank by 3/4.

Let's assume that the aquarium has a rectangular prism shape,

the amount of water in the tank would depend on the dimensions of the tank.

Let's assume the tank has a length of L, a width of W, and a height of H.

The volume of the tank can be calculated by multiplying the length, width, and height together: V = L x W x H.

If the tank is 3/4 full of water, the volume of water in the tank would be 3/4 of the total volume of the tank.

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The correct option is C) Valid; because points A, B, and C are non collinear, they must determine plane G.

For the given question;

Given: If three points are noncollinear, they determine a plane. Points A, B, and C lie in plane G.

Conclusion: Points A, B, and C are non collinear.

Thus, the option C best described the given situation as, Valid; because points A, B, and C are noncollinear, they must determine plane G.

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Answer:

[-1,3) domain i think the video i am watching kinda confusing tell me if i am right

[3,-5) range like i said tell me i got it wrong

Step-by-step explanation:

The domain and the range of a graph is the possible x and y values, the graph can take.

First, we determine the domain.

On the x-axis, the curve starts from x = -1 with a closed circle, and it ends at x = 3, with an open circle

A closed circle is represented by \(\ge\) or \(\le\), while an open circle is represented > or <

So, the domain of the graph is: \(-1 \le x < 3\)

Next, we determine the range.

On the y-axis, the curve starts from y = 3 with a closed circle, and it ends at y = -5, with an open circle

Using the explanation of open and closed circle above,

The range of the function is: \(3 \ge y > -5\)

Hence, the domain and the range of the graph are: \(-1 \le x < 3\) and \(3 \ge y > -5\), respectively.

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Answer:

890/3 thats the anwser

Step-by-step explanation: