Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. How much was the commission?

Answer:

24

Step-by-step explanation:

If one of the side is 6 in and the shape is a square. All the sides most be 6 aswell. so it's 6x4

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Law of Exponents ⸔

→ aᵐ × aⁿ = aᵐ＋ⁿ

→ aᵐ ÷ aⁿ = aᵐ－ⁿ

→ (aᵐ)ⁿ = aᵐⁿ

→ aᵐ × bᵐ = (ab)ᵐ

→ a⁰= a¹

→ aᵐ/bᵐ = (a/b)ᵐ

Question's solution ⸔

→ 5⁰

→ 1 [a⁰ = 1]

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

\( \frac{ \frac{1}{ \cos(x) } - 1 }{1 + \frac{1}{ \cos(x) } } = \frac{ \frac{1 - \cos(x) }{ \cos(x) } }{ \frac{1 + \cos(x) }{ \cos(x) }} = (1 - \cos(x)) \times (1 + \cos(x)) = 1 - { \cos(x) }^{2} = { \sin(x) }^{2} \)

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

For more such questions on distance visit:

https://brainly.com/question/30395212

#SPJ8

Answer:

zero

Step-by-step explanation:

The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.

The regression line is expressed as:

\(Y_i = a +bx_i\)

where;

\(Y_i\) = dependent variable

a = intercept

b = slope

\(x_i\) = independent variable

So, when \(Y_i\) is independent of the variation of \(x_i\), it means that \(Y_i\) does not linearly depend on \(x_i\) . Thus, the slope of the regression will be zero.

Answer:

8 in

Step-by-step explanation:

RA = 4 in, RB = 2 in

oil height in A = hA = 2 in

Find oil height in B = hB

volume of oil in A = VA = π*RA² * hA

equal amount means volume of oil in B VB = VA

But VB = π*RB² * hB

so π*RA² * hA = π*RB² * hB

then

hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

Answer:

2.72 meters

Hope that this helps!

Answer:

2nd one.

Step-by-step explanation:

Answer:

The original price of the shirt was Ksh 500 and it was sold for Ksh 550.

The discount is the difference between the original price and the selling price, which is Ksh 500 - Ksh 550 = Ksh -50.

To find the percentage discount, we can use the formula:

percentage discount = (discount ÷ original price) × 100%

percentage discount = (-50 ÷ 500) × 100%

percentage discount = -10%

Therefore, the percentage discount is 10%.

Answer:

55%

Step-by-step explanation:

Divide.

22 / 40 = 0.55

Multiply by 100%.

0.55 * 100% = 55%

Best of Luck!

Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

To determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.

If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.

Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.

However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.

Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1

The equation for the total cost of all adult tickets (a) and student tickets (s).

4a + 2.5s = 2,820  

a + s = 900

The number of adults ticket and student tickets is 380 and 520.

We have,

Adults ticket cost = $4

Student ticket cost = $2.5

Now,

Total amount earned = $2,820

The equation for the total cost of all adult tickets (a) and student tickets (s).

4a + 2.5s = 2,820   ______(1)

And,

The number of tickets sold = 900.

We can write as equation as:

a + s = 900 ______(2)

Now,

We have two equations.

4a + 2.5s = 2820

a + s = 900

Solving for s.

s = 900 - a

Substituting in (1)

4a + 2.5(900 - a) = 2820

Simplifying and solving for a.

4a + 2250 - 2.5a = 2820

1.5a = 570

a = 380

Now,

a + s = 900

380 + s = 900

s = 520

Therefore,

The number of adults ticket and student tickets is 380 and 520.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The null hypothesis is \(\mu = 39.09\)  

The symbol \(\mu\) is the Greek letter mu

The alternate hypothesis is \(\mu \ne 39.09\) telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to \(\mu \ne 39.09\)

So either mu is 39.09 or it's not 39.09

You can use H0 and H1 to represent the null and alternate hypotheses respectively.  

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

Summary:

The two hypotheses are

H0: \(\mu = 39.09\)

H1: \(\mu \ne 39.09\)

This is a two tailed test.

Answer:

-8

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

4x - 11

Step-by-step explanation:

Answer:

Co-ordinates of the focus is; (0, -4)

Step-by-step explanation:

We are given;

Vertex at origin; (0, 0)

Equation of parabola; y = x²/4p

4p = -16

Now,in parabola with vertex at origin, the coordinates of the focus is usually at (0, p)

Now, from 4p = -16 we can find p

p = -16/4

p = -4

Thus coordinates of the focus is; (0, -4)

Answer:

Read explaination

Step-by-step explanation:

Two things happen in this transformation. Firstly, the graph flips vertically, and then it shifts up 3 units.

For the equation, you can base it off the transformations. To make a graph flip over the x axis, just add a negative sign. So 2^x becomes -(2^x).

Then to shift it up 3 units, just add three to the end of the equation.

So your final answer is: f(x) = -(2^x) + 3

Answer:

True

Step-by-step explanation:

y= mx + b

y= slopex + y intercept

slope would be the rise and run with x, then you'd add the y intercept

ex:  y= 3x + 7

The option that is not a pair of equivalent fractions for 5/8 and ½ is C. 3/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left.

It should be noted that 3/8 is not an equivalent fraction. Therefore, the correct option is C.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left. What is NOT a pair of equivalent fractions for 5/8 and ½.

10/16

3/6

3/8

5/10

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Number of 8 pounds before boxes to be removed from cargo = b

Weight in pound of crate to be loaded into cargo = 600 pounds

To achieve a balance , no more Than 400 pounds may be taken off the plane

Hence,

Number of pounds removed must not be more than 400 pounds

(8 pounds * b) ≤ 400

8b ≤ 400

Divide both sides by 8

b ≤ 50

Answer:

85

Step-by-step explanation:

Answer:

B) SA = 984 cm²

Step-by-step explanation:

SA = (2 x 13 x 24) + (10 x 24) + (10 x 12) = 984 cm²

Answer:

A.

Step-by-step explanation:

23.48

the 8 rounds up the 4 to a 5

23.509

the 9 rounds 0 up to 1, which keeps 5 the same

Answer:

The answer to this question is A.

Answer:

10°

Step-by-step explanation:

angles on a straight line add up to 180°.

so 170 + x = 180

x = 180 - 170 = 10°

Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

The results show that the most common response was access, with 27% of the respondents choosing it as the most urgent health problem.

Cost came in second place, with 20% of the respondents choosing it. Obesity and cancer followed closely behind, with 14% and 13% of the respondents choosing them, respectively. Government interference and the flu were the least common responses, with only 3% and less than 0.5% of the respondents choosing them, respectively.

The margin of sampling error for the poll is ±4 percentage points, which means that if the poll was conducted multiple times, 95% of the time, the results would be within 4 percentage points of the actual population values.

learn more about sampling error here:

https://brainly.com/question/15521268

#SPJ1

Answer:

D

Step-by-step explanation:

by looking at the point you can see what has a slope.

it is also a decreasing slope

Answer:

3

Step-by-step explanation:

\(\sqrt{9}=\sqrt{3*3} = 3\)

Answer:

90 + 6

Step-by-step explanation:

90 + 6 = 96

ALTERNATIVE:

96 - 6 = 90