help plz
8 + 6x = -10 ​

Answer:

5

Step-by-step explanation:

Convert

8

2

5

to an improper fraction.

Answer:

2.718

Step-by-step explanation:

2.718281828459045 to the nearest thousandths is 2.718

Answer:

Step-by-step explanation:

Use the slope formula.

\(\underline{\text{SLOPE FORMULA:}}\)

\(\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }\)

y2=3

y1=(-9)

x2=1

x1=8

Rewrite the problem down.

\(\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}\)

I hope this helps, let me know if you have any questions.

Answer:

\(\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}\)

Step-by-step explanation:

Slope formula:

\(\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

Using the coordinates (8, -9) and (1, 3), we obtain the following:

Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.

\(\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}\)

To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.

\(\implies \text{Slope} = \dfrac{3 + 9}{-7}\)

\(\implies \text{Slope} = \dfrac{12}{-7}\)

Use parenthesis and take out the "negative sign" from the denominator.

\(\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}\)

The line of best fit for the set of data in this problem is given as follows:

y = 0.613x + 4.142.

To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) of the data-set in the calculator.

The points for this problem are given as follows:

(-2, 2.9), (-3.5, 2), (1.4, 4.8), (-4.2, 1.5), (0,4), (2.8, 6), (-1.5, 3.5).

Inserting these points into a calculator, the line of best fit is given as follows:

y = 0.613x + 4.142.

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Answer:

1,041.61

Simply stack the numbers (lining up the decimals) and add right to left.

The point of intersection will be the x, and y coordinates where the two lines cross.

To determine the point(s) of intersection algebraically, we need to find the solutions of the system of equations:

y = x² - x + 1

We can re-arrange the equation to solve for x:

x² - x + 1 - y = 0

We can then use the quadratic formula to find the solutions:

x = (1 ± √(1 - 4(1)(-y)))/2

x = (1 ± √(1 + 4y))/2

Now we can substitute values for y to find the x-coordinates of the points of intersection.

To verify the results, we can use a graphing utility to graph both equations and visually see where they intersect.

The point of intersection will be the x, and y coordinates where the two lines cross.

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Answer:

Step-by-step explanation:

looks to be a parabola, so use vertex mode (h, k) =  (-1, 2)

y = a(x - h)² + k

y = a(x + 1)² + 2

another point on the curve seems to be (1, 6)

6 = a(1 + 1)² + 2

     1 = a

y = (x + 1)² + 2

or expand for standard form y = ax² + bx + c

y = (x² + 2x + 1) + 2

y = x² + 2x + 3

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

if we  that Abby spent 50% of her time on School, 30% on Work, and 20% on Sleep, we can estimate that she spent:

100% - (50% + 30% + 20%) = 100% - 100% = 0% on Other.

If Abby divided her time into four categories (School, Work, Other, and Sleep), the percentage she spent on Other would be 100% less the sum of the percentages she spent on School, Work, and Sleep.

So, assuming Abby spending 50% of her time at school, 30% at work, and 20% sleeping, we can estimate she spent:

On Other, 100% - (50% + 30% + 20%) = 100% - 100% = 0%.

However, this is just a guess based on assumptions about how Abby spent her time. It's difficult to provide a more accurate estimate without more information.

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Answer:

at 6 pm

Step-by-step explanation:

I'm 99.9% sure that it's correct, please tell me if I'm wrong

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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The value of the integration is

\(\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C\), where C is an integrating constant.

We know that finding the area of the curve's undersurface is the process of integration. To do this, cover the area with as many tiny rectangles as possible, then add up their areas. The sum gets closer to a limit that corresponds to the area under a function's curve. Finding an antiderivative of a function is the process of integration. If a function can be integrated and its integral over the domain is finite with the given bounds, then the integration is definite.

Here, we have to determine the value of the given integral

\(\int {\frac{-7x^{3} }{x^{3}+1} } \, dx\).

So,

\(\int {\frac{-7x^{3} }{x^{3}+1} } \, dx = 7 \int {\frac{1-x^{3}-1 }{x^{3}+1} } \, dx\)\(= 7 \int [{1-\frac{1 }{x^{3}+1} } ]\, dx =7\int \, dx - 7 \int {\frac{1 }{x^{3}+1} } \, dx\) ...(1)

Now,

\(\frac{1}{x^{3} +1} = \frac{1}{(x+1)(x^{2} -x+1)}\)

We can write

\(\frac{1}{(x+1)(x^{2} -x+1)}=\frac{A}{(x+1)} + \frac{Bx+C}{(x^{2} -x+1)}\)

i.e. \(1 = A(x^{2} -x+1)+(Bx+C)(x+1)\)

i.e. \(1 = Ax^{2} -Ax + A+Bx^{2} +Bx+Cx+C\)

i.e. \(1=(A+B)x^{2} +(-A+B+C)x +(A+C)\)

Comparing both sides, we get

\(A+B=0 \implies B = -A\) ...(2)

\(-A+B+C = 0 \implies -A+(-A)+C=0 \implies -2A+C=0\) ...(3)

\(A+C=1\) ...(4)

Subtracting (3) from (4),

\(A+C+2A-C=1-0 \implies 3A=1 \implies A=\frac{1}{3}\)

From (4), \(C= 1-\frac{1}{3} =\frac{3-1}{3} =\frac{2}{3}\)

From (2), \(B =-\frac{1}{3}\)

We get

\(\frac{1}{x^{3}+1 } =\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{3} \frac{x-2}{x^{2} -x+1}\)

\(=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-4}{x^{2} -x+1}\)

\(=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1-3}{x^{2} -x+1}\)

\(=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1}{x^{2} -x+1}+\frac{3}{6} \frac{1}{x^{2} -x+1}\)

\(=\frac{1}{3} \frac{1}{(x+1)} - \frac{1}{6} \frac{2x-1}{x^{2} -x+1}+\frac{1}{2} \frac{1}{x^{2} -x+1}\)

Integrate both sides,

\(\int \frac{1}{x^{3}+1 }\, dx =\frac{1}{3} \int \frac{1}{(x+1)} \, dx - \frac{1}{6} \int \frac{2x-1}{x^{2} -x+1}\, dx+\frac{1}{2} \int \frac{1}{x^{2} -x+1}\, dx\)

i.e. \(\int \frac{1}{x^{3}+1 }\, dx =\frac{1}{3} \ln(x+1) - \frac{1}{6} ln (x^{2} -x+1)+\frac{\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })\)

From (1),

\(\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C\)

Therefore, the value of the integration is

\(\int {\frac{-7x^{3} }{x^{3}+1} } \, dx =7x - \frac{7}{3} \ln(x+1) + \frac{7}{6} ln (x^{2} -x+1)-\frac{7\sqrt{3} }{3} tan^{-1} (\frac{2x-1}{\sqrt{3} })+C\), where C is an integrating constant.

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Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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Answer:

7b = 10

Step-by-step explanation:

We have that:

5a + 2b = 0

a is two less than b

So a = b - 2.

Replacing in the above equation:

\(5a + 2b = 0\)

\(5(b - 2) + 2b = 0\)

\(5b - 10 + 2b = 0\)

\(7b = 10\)

\(b = \frac{10}{7}\)

7b

\(7b = 7\frac{10}{7} = \frac{70}{7} = 10\)

7b = 10

Part(A),

The value of the mean is 27.1, the value of the mode is 12 and median is 27.5.

Part(B),

Tennis players should report the median value to show they are less prepared for the tournament.

Part A:

To calculate the mean, we need to find the sum of all the data values and divide by the total number of values:

Sum of the data = 12 + 12 + 29 + 20 + 22 + 26 + 31 + 31 + 40 + 68 = 271

Number of data values = 10

Mean = sum of the data/number of data values

Mean = 271 / 10

Mean = 27.1

Therefore, the mean time spent practicing is 27.1 minutes.

To find the median, we need to arrange the data in order from smallest to largest:

12, 12, 20, 22, 26, 29, 31, 31, 40, 68

There are 10 data values, so the median is the average of the two middle values:

Median = (26 + 29) / 2

Median = 27.5

Therefore, the median time spent practicing is 27.5 minutes.

To find the mode, we need to identify the data value that occurs most frequently. In this case, there are two modes:

Mode = 12 and 31

Therefore, the modes for the time spent practicing are 12 and 31 minutes.

To find the range, we need to subtract the smallest data value from the largest data value:

Range = largest data value - smallest data value

Range = 68 - 12

Range = 56

Therefore, the range of time spent practicing is 56 minutes.

Part B:

Based on the scenario, it is more appropriate for the tennis players to report the median value to show they are less prepared for the tournament. This is because there is one outlier value of 68, which is much larger than the other data values.

The mean is affected by outliers and may not represent the typical amount of time spent practicing for the tournament. On the other hand, the median is not affected by outliers and represents the middle value of the data set, which is a more accurate measure of the typical amount of time spent practicing.

Therefore, tennis players should report the median value to show they are less prepared for the tournament.

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Answer: 16 white to 5 black

Step-by-step explanation:

Answer:

16:4 or 16 to 4.

Step-by-step explanation:

To solve this ratio, all you have to do is Find the Ratio!

The problem says, there are 16 White Horses and Some black horses. There are 20 horses in this herd so 20 - 16 = 4 so that is your answer

Have an awesome day!

Incomplete question. The full question read;

A certain process for manufacturing integrated circuits has been in use for a period of time, and it is known that 12% of the circuits it produces are defective. A new process that is supposed to reduce the proportion of defectives is being tested. In a simple random sample of 100 circuits produced by the new process, 12 were defective.

a. One of the engineers suggests that the test proves that the new process is no better than the old process since the proportion of defectives in the sample is the same. Is this conclusion justified? Explain.

b. Assume that there had been only 11 defective circuits in the sample of 100. Would this have proven that the new process is better? Explain.

c. Which outcome represents stronger evidence that the new process is better: finding 11 defective circuits in the sample, or finding 2 defective circuits in the sample?

Answer:

1. No.

2. No.

3. finding 2 defective circuits in the sample.

Step-by-step explanation:

1. This does not prove that the new process is not better than the previous since we can this was just a random sample of 100 circuits that led to that discovery, not the entire circuits produced.

2. Even there had been only 11 defective circuits in the sample of 100, it still does not necessarily guarantee or prove the new process is better, since the actual percentage of defectives may be greater in another larger sample over 100.

3. By having just two defective circuits in the sample it would more clearly show that the new process is better.

Answer:

(x + i) (x - i)

Step-by-step explanation:

The expression x^2 + 1 is a sum of squares, which means that it cannot be factored using real numbers. However, it can be factored using complex numbers.

To factor x^2 + 1, we can use the fact that i^2 = -1, where i is the imaginary unit.

We can rewrite x^2 + 1 as:

x^2 + 1 = x^2 - (-1)

Now, we can use the difference of squares formula to factor x^2 - (-1):

x^2 - (-1) = (x + i)(x - i)

Therefore, the factored form of x^2 + 1 is:

(x + i)(x - i)

Answer:

I’m not sure what the height or the width is, or the perimeter, I’m not sure if it’s a prism, but it should be 1.7 ?

Step-by-step explanation:

18.7-17= 1.7 ...

We have to calculate the proportion (expressed in percentage) of students who do not play sports and play a musical instruments.

We can calculate this proportion as the quotient between the students who do not play sports and play a musical instruments (7 students) and the total numer of the students in the survey (we have to add all the categories):

We can approximate this percentage to 30%.

Answer: 30%

Answer:

5x2=10+10=20+12= 32.

Step-by-step explanation

The correct answer is 32.

Hope I helped.

Answer:

We have to multiply P(A) and P(B) which is 0.0045 * 0.01 * 100 (to make it a percentage) = 0.0045%.

Answer:

\(\frac{-1}{3}\)

Step-by-step explanation:

7 - 9x = 10  Subtract 7 from both sides of the eqaution

-9x = 3  Divide both sides by -9

x = \(\frac{-3}{9}\) = \(\frac{-1}{3}\)

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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The sentence best describes your temperature estimate is Your estimate is wrong, and it should be 75°F. Thus, option c is correct.

To convert temperature from one unit to another, you can use conversion formulas or conversion tables. Here are the conversion formulas for the most commonly used temperature units:

Celsius to Fahrenheit: °F = (°C × 1.8) + 32

Fahrenheit to Celsius: °C = (°F - 32) / 1.8

Celsius to Kelvin: K = °C + 273.15

Kelvin to Celsius: °C = K - 273.15

Temperature is a physical quantity that measures the degree of hotness or coldness of an object or environment. Different countries and regions use different units to measure temperature, with Celsius (°C) and Fahrenheit (°F) being two of the most commonly used units.

In this scenario, the thermometer reads a temperature of 24°C. If you want to convert this temperature to Fahrenheit, you can use the formula:

°F = (°C × 1.8) + 32

Substituting 24°C into the formula, we get:

°F = (24 × 1.8) + 32

°F = 43.2 + 32

°F = 75.2

Therefore, the temperature estimate in Fahrenheit is 75.2°F.

Hence, the sentence best describes your temperature estimate is "Your estimate is wrong, and it should be 75°F.

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Answer:

NO Help without knowing what the function is.

Where is it?

Step-by-step explanation:

Answer:

The x-intercepts

Step-by-step explanation:

where the line crosses the x-axis (could be once or mulitple times.) Find by taking the function, solving it until you have 1 or multiple binommials (they should be in parenthesis), and then making them equal to one. For example i would write x - 2 = 0 which would end up being x = 2. The coordinate would be (2,0).

Hope this helps!

Answer: x ≤ 7

Step-by-step explanation:

Answer:

x\(\leq\)7

Step-by-step explanation:

4x-6\(\geq\)6x-20

First get x on one side.

So substract 6x on each side to get:

4x-6x-6\(\geq\)-20

Then add 6 on each side to get:

4x-6x\(\geq\)-14

Simplify.

-2x\(\geq\)-14

Divide each side by -2 to get x alone.

*Remember that when dividing by a negative sign is fliped.

x\(\leq\)-14/-2

Simplify.

x\(\leq\)7

If the radius of the circle is 5 m and angle subtended by arc LKM is 70° then the length of the arc LNM is 25.29 m.

Given that the radius of the circle is 5 m and angle subtended by arc LKM is 70°.

From the figure given we can estimate that the length of arc LNM can be circumference of circle subtracted by length of arc LKM.

Circulference of the circle is basically the length of whole arc of the circle. It is also know as perimeter of the circle. The formula of calculating circumference of a circle is 2πr in which r is the radius.

So,

length of arc LNM=Circumference of circle-length of arc LKM.

We know that length of an arc =Θr

in which Θ is the angle in radian.

length of arc=70*π\(/180*5\)

=70π\(/36\)

Circumference of circle=2π*5

=10π

Length of arc LNM=10π-70π\(/36\)

=(360π-70π)\(/36\)

=290π\(/36\)

Put π=3.14

=290*3.14\(/36\)

=910.6\(/36\)

=25.29m

Hence the length of arc LNM is 25.29 m.

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Answer:

0.16

Step-by-step explanation: