$1,200 in sales with 4% commission

Answer:

x= 60° , y = 60 °

Step-by-step explanation:

x = 60°

y = 60°

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

if you find it useful.

If two triangles are congruent (as per the given congruency statement), then the corresponding angles of both triangles are also congruent.

Therefore, if angle B = 145, then angle E is also 145.

Answer: C) 145

Hope this helps!

The LHS is equal to the RHS, and the given equation is verified as an identity. We have to verify that the following equation is an identity:

2cos(x) 2x / sin2(x) = cot(x) - tan(x)

Starting from the left-hand side (LHS):

2cos(x) 2x / sin2(x) = 2cos(x) 2x / (1 - cos2(x)) (using the identity sin2(x) = 1 - cos2(x))

= 2cos(x) 2x / (1 - cos(x)) (1 + cos(x))

= 2cos(x) 2x / (1 - cos(x)) (1 + cos(x)) (multiplying the denominator by (1 + cos(x)))

= 2cos(x) 2x / (1 - cos2(x))

= 2cos(x) 2x / sin2(x) (using the identity 1 - cos2(x) = sin2(x))

= 2cos(x) / sin(x) (simplifying by canceling out the common factor of 2 and cos(x))

= 2cos(x) / sin(x) * (cos(x) / cos(x)) (multiplying by 1 in the form of cos(x)/cos(x))

= 2cos2(x) / (sin(x)cos(x))

= 2cos(x)/sin(x) * cos(x)

= cot(x) * cos(x)

Now, moving to the right-hand side (RHS):

cot(x) - tan(x) = cos(x)/sin(x) - sin(x)/cos(x)

= cos2(x)/sin(x)cos(x) - sin2(x)/sin(x)cos(x)

= (cos2(x) - sin2(x))/sin(x)cos(x)

= cos(x)/sin(x) * cos(x)/cos(x) - sin(x)/cos(x) * sin(x)/sin(x) (using the identity cos2(x) - sin2(x) = cos(x)cos(x) - sin(x)sin(x))

= cot(x) * cos(x)

Therefore, the LHS is equal to the RHS, and the given equation is verified as an identity.

Learn more about LHS is equal to the RHS,

https://brainly.com/question/30298176

#SPJ4

Answer:

the dimensions are 3 and 6 feet

Step-by-step explanation:

xy=18

x+y=9

x=9-y

y(9-y)=18

-y^2+9y -18=0

y^2-9y+18=0

(y-6)(y-3)=0

if y=6, x=3

if y=3, x=6

The set of points and lines when named are listed below

Using the figure as a guide, we have the following:

Read more about points and lines at

https://brainly.com/question/17248193

#SPJ1

The value of the z score for a mean of 4 and the standard deviation is 1.

The z score determines the value of standard deviation which is how much above or below the raw data. The formula is given  as

\(Z=\dfrac{X-\mu}{\sigma }\)

here

x is the raw score,

μ is the mean and σ is the standard deviation.

If we assume the values

μ = 4, σ = 2, hence for x = 6:

\(Z=\dfrac{6-4}{2} =1\)

Thus the value of z score for the assumed value of μ = 4, σ = 2, hence for x = 6 will be z=1

To know more about Z-score follow

https://brainly.com/question/25638875

Answer:

x-intercept= (5,0)

y-intercept= (0,-2)

Slope= 2/5

Step-by-step explanation:

The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

Know more about revenue here,

https://brainly.com/question/29567732

#SPJ11

(a) 95% confidence interval for the difference between female and male times is (11.954, 255.591).

(b) The assumptions and conditions for the two-sample t-test are met, so we can use the results of the test and confidence interval.

a) To construct a 95% confidence interval for the difference between female and male times, we can use a two-sample t-test. Let's denote the mean time for female swimmers as μf and the mean time for male swimmers as μm. We want to test the null hypothesis that there is no difference between the two means (i.e., μf - μm = 0) against the alternative hypothesis that there is a difference (i.e., μf - μm ≠ 0).

The formula for the two-sample t-test is:

t = (Xf - Xm - 0) / [sqrt((s^2f / nf) + (s^2m / nm))]

where Xf and Xm are the sample means for female and male swimmers, sf and sm are the sample standard deviations for female and male swimmers, and nf and nm are the sample sizes for female and male swimmers, respectively.

Using the data from the plots, we get:

Xf = 917.5, sf = 348.0137, nf = 15

Xm = 783.7273, sm = 276.0625, nm = 28

Plugging in these values, we get:

t = (917.5 - 783.7273 - 0) / [sqrt((348.0137^2 / 15) + (276.0625^2 / 28))] = 2.4895

Using a t-distribution with (15+28-2) = 41 degrees of freedom and a 95% confidence level, we can look up the critical t-value from a t-table or use a calculator. The critical t-value is approximately 2.021.

The confidence interval for the difference between female and male times is:

(917.5 - 783.7273) ± (2.021)(sqrt((348.0137^2 / 15) + (276.0625^2 / 28)))

= 133.7727 ± 121.8187

= (11.954, 255.591)

Therefore, we can be 95% confident that the true difference between female and male times is between 11.954 and 255.591 minutes.

b) Assumptions and conditions for the two-sample t-test:

Independence, We assume that the observations for each group are independent of each other.

Normality, We assume that the populations from which the samples were drawn are approximately normally distributed. Since the sample sizes are relatively large (15 and 28), we can rely on the central limit theorem to assume normality.

Equal variances, We assume that the population variances for the female and male swimmers are equal. We can test this assumption using the F-test for equality of variances. The test statistic is,

F = s^2f / s^2m

where s^2f and s^2m are the sample variances for female and male swimmers, respectively. If the p-value for the F-test is less than 0.05, we reject the null hypothesis of equal variances. If not, we can assume equal variances. In this case, the F-test yields a p-value of 0.402, so we can assume equal variances.

Sample size, The sample sizes are both greater than 30, so we can assume that the t-distribution is approximately normal.

To learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ4

Answer:16

Step-by-step explanation:

Using PEMDAS:

8 / 2 * (2+2)

Parentheses first: 8 / 2 * (4)

Then go left to right: 8/2 = 4, 4 * 4 = 16.

8/2(2+2)

It will be 16.

Answer:

\(+5\sqrt{5} and -5\sqrt{5}\)

Step-by-step explanation:

The radicals are \(+5\sqrt{5} and -5\sqrt{5}\)

as                 \(5\sqrt{5}* 5\sqrt{5} = 125\)

also              \(-5\sqrt{5} *-5\sqrt{5} = 125\)

All of 4x+8 is under a cube root sign.

=====================================================

Work Shown:

To find the inverse, we swap x and y, then solve for y.

\(y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\\)

------------

Side note:

If \(f(x) = \frac{1}{4}x^3 - 2\) and \(g(x) = \sqrt[3]{4x+8}\), then \(f(g(x)) = x\) and \(g(f(x)) = x\)for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.

All five answers are (1) 285.7 ft2 (2) 1056 cm2 (3) 105 mm3 (4) 108 cm3 (5) 628 mm3 in accordance with the provided assertion.

In mathematics, volume refers to the amount of space present within a specific 3D object. As an example, the dimensions of a fish aquarium are three feet long, one foot broad, and two feet height.

By increasing the length, width, and height, or 3x1x2, which also equals six, the volume is determined. Consequently, the fish tank has a 6 cubic foot size.

(1) The lateral area of a cone can be calculated using the formula L = πrℓ, where r is the radius and ℓ is the slant height. Using the given values, we have:

L = π(7)(13) ≈ 285.7 ft²

Rounding to the nearest tenth, the answer is 285.7 ft².

(2) A = B + (1/2)Pl, where B is the base area, P is the base circumference, l is the slope height, and A is the surface area, can be used to determine the surface area of a square pyramid. Since the pyramid's foundation is square, we have:

B = (24)² = 576 cm²

The perimeter of the base is 4 times the base length, so we have:

P = 4(24) = 96 cm

Now we can use the formula to find the surface area:

A = 576 + (1/2)(96)(16) = 1056 cm²

Therefore, the surface area of the square pyramid is 1056 cm².

(3) The volume of a rectangular prism can be calculated using the formula V = lwh,

where

l is the length

w is the base

h is the height

V is the volume.

Substituting the given values, we have:

V = (5)(7)(3) = 105 mm³

Therefore, the volume of the rectangular prism is 105 mm³.

(4) The formula V = (1/3)Bh, where B is the base area, h is the height, and V is the volume, can be used to determine the volume of a square pyramid. Since the pyramid's foundation is square, we have:

B = (9)² = 81 cm²

Now we can use the formula to find the volume:

V = (1/3)(81)(4) = 108 cm³

Therefore, the volume of the square pyramid is 108 cm³.

(5) The volume of a cone can be calculated using the formula V = (1/3)πr2h, where r is the radius, h is the height, and V is the volume. Substituting the given values, we have:

V = (1/3)π(10)²(6) ≈ 628.3 mm³

Rounding to the nearest whole number, the answer is 628 mm³.

Therefore, the volume of the cone is 628 mm³.

To know more about Volume visit:

https://brainly.com/question/463363

#SPJ1

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3-(23+(4-213-(6-2)   Equation/Question

Step 2

3-(23+(4-213-(6-2)   Simplify

3(23+(-213)

Step 3

3(23+(-213)  Add and multiply

-570

Answer

-570

Hope this helps

Answer:

the answer is -570

hope this helps

Answer:

7

Step-by-step explanation:

CD is congruent to BC by CPCTC.

Answer:

3 and 4

Step-by-step explanation:

This is a simple 3:4:5 triangle,

3²+4²=5², Pythagoras theorum

Answer:

In order from top to bottom

E=H

F=G

G=J

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The most suitable data type for storing annual employee salaries ranging from $25,000 to $700,000 would be option (c) decimal(10,4).

Next, we can consider float and double data types, which can store decimal values with a higher range and precision than integers. However, they can be imprecise and cause rounding errors when used to store currency values, which can be a significant issue in financial calculations.

The most appropriate data type for storing currency values is the decimal data type, which is designed to handle decimal values with high precision and accuracy. The decimal data type can store exact numeric values up to 38 digits, with a user-defined scale (the number of digits to the right of the decimal point).

Therefore, option (c) decimal(10,4) would be the best data type for storing annual employee salaries ranging from $25,000 to $700,000.

To know more about salary here.

https://brainly.com/question/14371457

#SPJ4

Complete Question:

Annual salary of each employee has to be stored in dollars and cents. The salaries vary from minimum of $25,000 to maximum of $700,000. Which of the following would be the most suitable data type?

a) decimal(8.2)

b) decimal

c) decimal(10.4)

d) Small money

e) money

Answer:

Step-by-step explanation:

y=10

Answer:

Step-by-step explanation:

it is C

Answer:

addition property of equality

Step-by-step explanation:

Answer: x is 9, g is 41 and f is 6

Step-by-step explanation:

Answer:

Is it B

Step-by-step explanation:

Answer:

Step-by-step explanation:

B test!

Answer:

\(x=6\)

Step-by-step explanation:

Given:

\(AB=3x-1\\XZ=34\\\)

Here , A is the midpoint of XY and B is the midpoint of YZ.

Thus, we can say that AB is one-half of XZ.

To solve for x using the midpoint segment theorem, we have:

\(AB=\frac{1}{2} *XZ\\3x-1=\frac{1}{2}*34\)

Let's solve for x:

\(3x-1=17\\\)

Add 1 to both sides:

\(3x-1+1=17+1\\3x=18\)

Divide both sides by 3:

\(\frac{3x}{3} = \frac{18}{3} \\\\x=6\)

Answer: \(x=6\)                        

please mark me as brainliest                    

No, a linear model is not appropriate for the given data because; the residual plot is is such that the residuals (actual value - predicted) are large thereby indicating the inappropriateness of a linear model.

It follows from the task content that it is requited to be determined if a linear model is appropriate for the given data.

As evident in the scatter plot and the line of best fit; it follows that the data points are far off the predicted values by the line of best fit.

Additionally, the residual plot indicates the inappropriateness of a linear model for the given data as points on the residual plot are far off the horizontal axis.

Conclusively, a linear model is not appropriate for the given data.

Read more on residual plot;

https://brainly.com/question/16462426

#SPJ1

Alcohol, marijuana is the drug most often found in the blood of drivers involved in crashes.

The probability that the top card is the king of spades or the bottom card is the queen of spades is  \(\frac{1}{26}\)

There are 52 cards in a deck of cards. There is only one king of spades in a deck of cards, and only one queen of spades. Therefore, the probability of getting the king of spades as the top card is 1/52 and the probability of getting the queen of spades as the bottom card is also 1/52.

There are no other restrictions for drawing a card in this problem. So the probabilities are additive.

P (king of spades as top card or queen of spades as bottom card) = P(king of spades as top card) + P(queen of spades as bottom card)

P (king of spades as top card or queen of spades as bottom card) =  \(\frac{1}{52}\) +  \(\frac{1}{52}\)

\(P = 2/52\)

Reducing \(\frac{2}{52}\) to lowest terms, we get,

P (king of spades as top card or queen of spades as bottom card) = \(\frac{1}{26}\)

Hence, the probability that the top card is the king of spades or the bottom card is the queen of spades is  \(\frac{1}{26}\).

Probability is the likelihood of an event occurring. The values are between 0 and 1. The closer it is to 1, the greater the probability.

For more information about probability, visit:

https://brainly.com/question/24756209

#SPJ11

Answer:

\(v = u + at \\ v = 3 + (1.5 \times 7) \\ v = 3 +10.5 \\ \boxed{v = 13.5 \: m {s}^{ - 1}} \)

Answer:

x=32

Step-by-step explanation: