Solve |x| > -9.

(aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa)

Step-by-step explanation:

Given

SP = 210

profit percent (p%) = 5%

CP = X = ?

We know

Cost price (CP)

\( = \frac{sp \: \times 100}{100 + p\%} \\ = \frac{210 \times 100}{100 + 5} \\ = \frac{21000}{105} \\ = 200\)

hope it helps :)❤

Or in another way

Let the cost price be x then

Profit amount

= 5 % of CP

= 5/100 * x

= x / 20

Selling Price (SP)

210 = CP + Profit amount

210 = x + x / 20

210 = ( 20x + x) / 20

210 * 20 = 21x

4200 = 21x

x = 4200 / 21

x = 200

Therefore CP = 200

Hope you understood.

Answer:

2/10 + 7/10

9/10

Step-by-step explanation:

I did the test.

Answer:

The expression written in equivalent form with common denominators is

✔ 2/10 + 7/10

The sum is

✔ 9/10

Step-by-step explanation:

Answer:

The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. Since the volume of oil in the tank is directly proportional to the depth of the oil, we can calculate the amount of oil left in the tank when it is 3 feet deep using a simple ratio.

First, we need to convert the tank's capacity from gallons to cubic feet because our measurements are in feet. According to the U.S. liquid gallon to cubic foot conversion, 1 gallon is approximately 0.133681 cubic feet. So, the tank's total volume in cubic feet is 620 gallons * 0.133681 cubic feet/gallon.

Let's denote the total volume of the tank as V_total and the remaining volume when the tank is 3 feet deep as V_remaining.

V_total = 620 * 0.133681 cubic feet.

Given that the total height (h_total) of the tank is 8 feet and the remaining height (h_remaining) is 3 feet, we can set up the following proportion:

h_remaining / h_total = V_remaining / V_total.

By cross-multiplying and solving for V_remaining, we can find the remaining volume in the tank when it's 3 feet deep. Then, we convert this volume back to gallons by dividing by 0.133681.

Let's calculate that.

Apologies for the confusion; I made a mistake. I can't execute calculations directly in this manner. I'll carry out the calculations below instead:

The total volume of the tank in cubic feet is:

V_total = 620 gallons * 0.133681 cubic feet/gallon = 82.9022 cubic feet.

The remaining volume when the tank is 3 feet deep can be calculated with the proportion:

h_remaining / h_total = V_remaining / V_total.

After cross-multiplying and solving for V_remaining, we have:

V_remaining = (h_remaining / h_total) * V_total = (3 ft / 8 ft) * 82.9022 cubic feet = 31.0941 cubic feet.

Then, we convert this volume back to gallons by dividing by 0.133681:

V_remaining_gal = 31.0941 cubic feet / 0.133681 = 232.63 gallons.

Rounding to the nearest whole number, approximately 233 gallons remain in the tank when the depth of the oil is 3 feet.

Answer:

\( \sqrt{ \frac{75}{3} } = \sqrt{25} = 5\)

Answer: 90

Step-by-step explanation:

91 - 1  = 90

Answer: 90

Step-by-step explanation:

The equation that represents the graph is y equals negative three halves times x minus 3, and option A is correct.

The ratio of the change in y coordinate to the change in x coordinate is known as a line's slope.

y and x, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.

Consequently, the connection between a change in y-coordinate and a change in x-coordinate

Given a graph,

from the graph, we find that when y is 0, x = -2

and when x is o, y = -3

so the line passes from (-2, 0) and (0, -3)

the slope of the line is (y₂-y₁)/(x₂-x₁)

m = (-3 - 0)/(0 - 2)

m = -3/2

and the y-intercept is -3

equation of line is y = mx + c

y = -3x/2 - 3

which is y equals negative three halves times x minus 3.

Hence option A is correct for the equation of the line,

Learn more about the slope of a line;

https://brainly.com/question/16180119

#SPJ1

Answer:D

Step-by-step explanation:D

Answer:

EF = 2.37

Step-by-step explanation:

It's given that these are similar triangles.

In similar triangles, the side lengths are proportional.

We can write the following equation based on this information:

\( \frac{11}{3.3} = \frac{7.9}{ef} \)

11EF = 27.03

EF = 2.37

Answer:

12

Step-by-step explanation:

2/3 of 48 is 32, 16 leftover.

1/4 of 16 is 4, 12 leftover

answer=12

Answer:

42 hundreths

Step-by-step explanation:

i  hope this helps

Answer:

12

Step-by-step explanation:

\(-3\sqrt{16(4)}+2\sqrt{4(9)^2}=\\\\-3\sqrt{64}+2\sqrt{324}=\\\\-3(8)+2(18)=\\\\-24+36=\\\\12\)

Hope this helps!

The equation (x - 1)² - 4(x - 1)² = 0 has two solutions: x = 1 and x = 5. we substitute U = x - 4(x - 1)/(x - 1)² into the equation.

Simplifying, we get U² - 4U² = 0. This leads to -3U² = 0, which has no real solutions. However, we must consider the restrictions of the substitution. Since (x - 1) cannot be zero, we find that x ≠ 1. Thus, we substitute U back into the original equation, obtaining (x - 1)² - 4(x - 1)² = 0. Solving this quadratic equation gives the solutions x = 1 and x = 5.

Learn more about substitute here:

https://brainly.com/question/15522128

#SPJ11

The null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

The null hypothesis is that two possibilities are the same. The null hypothesis is that the observed difference is due to chance alone.

A type I error occurs if an investigator rejects a null hypothesis that is actually true in the population.
Hence, the null hypothesis has been true but the sample information has resulted in the rejection, when the Type I error has been made

Learn more about The null hypothesis here

brainly.com/question/19263925

#SPJ4

Answer:

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Step-by-step explanation:

The first three nonzero terms of the Maclaurin series for f are 0, 0, and x^5/10.

To find the series, we use the Maclaurin series formula, which is a way to represent functions as an infinite sum of terms derived from their derivatives evaluated at a particular point. In this case, we evaluate the function's zeroth, first, and fifth derivatives at x=0 and obtain the first three nonzero terms of the series, which are 0, 0, and x^5/10.

The Maclaurin series is a powerful tool in mathematics and physics, and it is widely used in many areas such as calculus, differential equations, and quantum mechanics. By expressing functions as a series of terms, we can study their behavior and properties in greater detail, and make accurate predictions about their values for different inputs.

Learn more about Maclaurin series

brainly.com/question/31745715

#SPJ11

Answer:

336

Step-by-step explanation:

The claim made by the maker of one of the video games is not supported by the given confidence interval. The interval (1.5, 3.8) represents the estimated difference in the mean number of hours per week spent playing the two games.

To determine whether the claim is supported or not, we need to examine the interval. Option A states that the claim is supported because 0 is not contained in the interval. However, the interval (-∞, ∞) contains all possible values, including 0. Therefore, option A is incorrect.

Option B, which mentions the midpoint of the interval being greater than 1, is not a valid criterion for evaluating the claim. The midpoint of the interval does not provide any information about the claim itself. Hence, option B is incorrect.

Option C suggests that the claim is supported because the margin of error for the estimate is less than 1. However, the margin of error is not provided in the question. Therefore, option C cannot be determined based on the given information.

Option D states that the margin of error for the estimate is greater than 1, but the margin of error is not given. Without this information, we cannot evaluate option D.

The correct answer is option E: No, because 0 is not contained in the interval. A confidence interval that does not contain 0 suggests that there is a statistically significant difference in the mean number of hours per week spent playing the two games.

To know more about random samples, refer here:

https://brainly.com/question/31859990#

#SPJ11

Answer:

\(x=1,\: x=2\)

Step-by-step explanation:

To be honest, you don't need the quadratic formula as you can just factor the polynomial after setting it equal to 0:

\(x^2-3x=-2\\\\x^2-3x+2=0\\\\(x-1)(x-2)=0\\\\x=1,\: x=2\)

If you really need to use the quadratic formula, here's the process:

\(ax^2+bx+c=0\\\\x^2-3x+2=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\frac{-(-3)\pm\sqrt{(-3)^2-4(1)(2)}}{2(1)}\\\\x=\frac{3\pm\sqrt{9-8}}{2}\\\\x=\frac{3\pm\sqrt{1}}{2}\\\\x=\frac{3\pm1}{2}\\x_1=\frac{3-1}{2}\\ \\x_1=\frac{2}{2}\\\\x_1=1\\\\x_2=\frac{3+1}{2}\\\\x_2=\frac{4}{2}\\ \\x_2=2\)

Answer:

-127.02 Hope this helps

Variation can be direct, inverse or joint.

The perimeter is 243 cm

Represent perimeter with P and side lengths with L.

So, we have:

\(\mathbf{P\ \alpha\ L}\)

Express as an equation

\(\mathbf{P = kL}\)

Where k is the constant of variation.

Make k the subject

\(\mathbf{k = \frac PL}\)

So, we have:

\(\mathbf{\frac{P_1}{L_1} = \frac{P_2}{L_2}}\)

Make P2 the subject

\(\mathbf{P_2 = L_2 \times \frac{P_1}{L_1} }\)

Substitute the given parameters

\(\mathbf{P_2 = 81 \times \frac{153}{51} }\)

\(\mathbf{P_2 = 81 \times 3 }\)

\(\mathbf{P_2 = 243}\)

Hence, the perimeter is 243 cm

Read more about variations at:

https://brainly.com/question/16510700

The face of the block that should be in contact with the board to achieve the shallowest angle before sliding is the one with the smallest perpendicular dimension, which is the 1.00 cm by 2.00 cm face.

The block will begin to slide down the board when the component of the gravitational force parallel to the board (i.e., the force that would cause the block to slide) exceeds the maximum force of static friction between the block and the board. The maximum force of static friction is proportional to the normal force, which is greater for faces of the block that are more perpendicular to the board.

In this case, the face of the block that should be in contact with the board to achieve the shallowest angle before sliding is the one with the smallest perpendicular dimension, which is the 1.00 cm by 2.00 cm face.

The general approach of analyzing the forces involved and identifying the relevant factors that determine the outcome can be applied to many types of problems in physics and other sciences. However, the specific solution for this problem is only applicable for uniform, rectangular blocks with the given dimensions and on a wooden board. For other scenarios, the analysis and solution may differ.

Learn more about Block Sliding Angle here:

https://brainly.com/question/18568774

#SPJ4

Using trigonometric identities, the answer should be: 77

Answer: 4,620

Step-by-step explanation:

1. 76 + (1) x 60

2. 77 x 60

3. 4,620

Answer:

24 cupcakes

Step-by-step explanation:

Jamir is making cupcakes for the potluck. Each cupcake requires 3/4 cups of batter. How many cupcakes can he make?

In the question, we are not given the number of cups batter for a potluck. So we can assume

1 potluck = 18 cups of batter

3/4 cups of batter = 1 cup cakes

18 cups of batter = x cup cakes

Cross Multiply

3/4 × x = 18 × 1

x = 18 ÷ 3/4

x = 18 × 4/3

x = 24 cup cakes

To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted.

What is an Average?

In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.

It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.

When we analyze the  given question, we find that,

The total number of students were 49,

The true average was found to be 59k,

and the Sample average is found to be 44k.

Thus, in  the present question we will use the One- sample T-test.

We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.

To know more about Averages:

https://brainly.com/question/16956746

#SPJ4

Answer: 3/8

1/4 + 1/8 divided by 2

Answer:

\(-13+12p-4=6\left(2p-1\right)\)

\(-13-4=-17\)

\(12p-17=6\left(2p-1\right)\)

\(12p-17=12p-6\)

\(12p-17+17=12p-6+17\)

\(12p=12p+11\)

\(12p-12p=12p+11-12p\)

\(0=11\)

There is No Solution

its  7.5 im pretty sure

Answer:

94

Step-by-step explanation:

because it all adds up to 180 (i want brainliest)

The value of x in the similar triangle is 12 units. The triangle are similar because they only vary in sizes but have the same shape.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles are also similar because they have the same shape but different sizes.

Hence, let's find the value of x as follows:

3 / 9 = 4  / x

cross multiply

3x = 36

divide both sides by 3

x = 36 / 3

x = 12

Therefore, the value of x is 12 units.

learn more on similar triangle here: https://brainly.com/question/14926756

#SPJ1

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

Similar question here:

https://brainly.com/question/29181688?referrer=searchResults

#SPJ11