6(11.75-7=3(11.75)+5-11.75

Check the picture below.

so it has a center at (2 , -5) and it passes through (4 , -4), now we could either the distance formula to get the "red" radius or just the pythagorean theorem, hmmm let's use the pythagorean theorem

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{2}\\ o=\stackrel{opposite}{1} \end{cases} \\\\\\ c=\sqrt{ 2^2 + 1^2}\implies c=\sqrt{ 4 + 1 } \implies c=\sqrt{ 5 } \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{2}{h}~~,~~\underset{-5}{k})}\qquad \stackrel{radius}{\underset{\sqrt{5}}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 2 ~~ )^2 ~~ + ~~ ( ~~ y-(-5) ~~ )^2~~ = ~~(\sqrt{5})^2\implies (x-2)^2 + (y+5)^2 = 5\)

a. The monthly contribution from a friend's company is $120 minus 0.5, or $60.

b. The total monthly contribution to the fund is $180.

The computation of FV in Excel is shown in the attachment below:

Using the current number as a starting point, subtract the prior value to determine the growth rate. To calculate the growth rate in percentage terms, divide the difference by the previous amount and multiply the result by 100. Growth Rate equals (Ending Value - Beginning Value) - 1. The year-over-year (YoY) growth rate of a business, for instance, would be 20% if its revenue increased from $100 million in 2020 to $120 million in 2021.

GDP, turnover, wages, etc., all have growth rates that reflect how much they have changed over time (month, quarter, year). Percentages are a pretty common way to communicate it.

20 years is the age.

20 times 12 periods equals 240.

3% growth rate

The computation of FV in Excel is shown in the attachment below:

So, FV= $7,223,115.77

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Answer:

Step-by-step explanation:

GCF - List out the prime factors that are common to both numbers

2³ * 3²

2³ * 3⁴

GCF = 2³ * 3² = 8 *9 = 72

Answer:

EAFI

Step-by-step explanation:

Since we know ∠A + ∠D = 90°, we can add the two equations together to get

90 = 7x + 6

Subtract 6 from both sides

84 = 7x

Divide both sides by 7 to get x = 12

Plug back into the equation to get ∠A = 36

Repeat for number 3, but this time the angles equal 180

Using the same steps as before, y = 3 and ∠C = 126

Put the letters together to get EAFI

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

Write the equation then try the equation with the numbers from choice A then go down. do all of them. which ever ends up equal is the right answer.

Step-by-step explanation:

I will do the math but you try it first, then ill do the math step by step in the comments, but only if you try it first. im trusting you to try.

Answer:

8.

x

12

9

4.5

9.

3, 4, 12

3, 3, 12

6, 12

-6, -12

2

10.

plug in x to check work

Step-by-step explanation:

8.

1/2(x + 24) = 21

1/2x +12 = 21

1/2x = 9

x = 18

9.

28 - 3x - 4 = 2x + 12 + x

24 - 3x = 3x + 12

24 - 6x = 12

-6x = -12

x = 2

10.

3x - 18 + 6 = 5x - 6

3x - 12 = 5x - 6

-2x - 12 = -6

-2x = 6

x = -3

hope it help.

can you answer my question, i can help you in math, can you help me in english? please

Answer:

20,-25

Step-by-step explanation:

The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.

To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.

So, we can write 464000 as:

4.64 x 10^5

Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.

Step-by-step explanation:

The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

Given that,

We have two points they are (1,-9) and (-3,3).

We have to find the slope of the line that contains the points.

We know that,

The slope or steepness of a line is determined using the slope formula. It may be used to calculate any line's slope by comparing the change in the y-axis to the change in the x-axis. The slope of a line is the ratio of the change in the line's "y" coordinate to the change in its "x" coordinate.

Slope = y₂-y₁/x₂-x₁

So,

The points (1,-9) and (-3,3).

Slope = 3-(-9)/-3-1 = 3+9/-3-1 = 12/-4 = -3

Therefore, The slope of the line that contains the points (1,-9) and (-3,3) is -3 when the slope is y₂-y₁/x₂-x₁.

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Answer:

Step-by-step explanation:

Use point (1, 3.5) on the graph

x = 1, y = 3.5

k = 3.5

The product of sum of the expression (2x+1)(5x-8) is  10\(x^2\)-11x-8.

What is product of sum?

Expressions that are a product of sums are Boolean expressions made up of sums of one or more variables, either in their true form or complemented form. Boolean expressions known as "product of sum expressions" are constructed by adding together sums of one or more variables in either their true form, complemented form, or a combination of both.

Here the given expression is ,

=> (2x+1)(5x-8)

=> [2x.5x - 8.2x+5x-8]

=> 10\(x^2\)-16x+5x-8

=> 10\(x^2\)-11x-8.

Hence the product of sum is 10\(x^2\)-11x-8.

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The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

__

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

Answer: x2 + 4x + 16

Step-by-step explanation:

The mixed fraction shown by 3 3/7 is Equivalent to the fraction 24 divided by 7 or 24/7.

A mixed fraction is one that is represented by both its quotient and remainder.

An combination of a whole number and a legal fraction is a mixed fraction.

For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder.

Given:

We have the Fraction 3 3/7 which can be written as

= (7 x 3 + 3)/ 7

= (21 +3 )/ 7

= 24/7

Also, 24/7 can be written as

= 24/7

= 3 3/7

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Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

Answer:

6.71 mm

Step-by-step explanation:

Find radius R

Volume = πR²H

4500π = πR²*100

R² = 45

so R = √45 = 3√5 = 6.71 mm

Answer:

constant of proportionality

Step-by-step explanation:

Assuming that we have two proportional quantities; one is x and one is y.

If we know whether the relationship between them is direct or inverse proportion, then the ratio of the two quantities y/x gives us a constant generally known as the constant of proportionality.

Based on the sample response given, the statements included in the explanation on the horizontal line test are:

The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.

To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.

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Answer:

1/6y^3

Step-by-step explanation:

Answer:

1/6y^3

Step-by-step explanation:

cancel the common factor of y^2 and y^5

Answer:

For a data set of N elements:

{x₁, x₂, ..., xₙ}

The mean is:

\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)

The mean absolute deviation is:

\(MAD = \frac{|x_1 - M| + ... + |x_n - M|}{N}\)

And the population standard deviation is:

\(PSD = \frac{\sqrt{|x_1 - M|^2 + ... + |x_n - M|^2} }{\sqrt{N}}\)

In this case, our set has 5 elements, and the set is:

{2, 4, 6, 9, 14}

The mean of this set is:

\(M = \frac{2 + 4 + 6 + 9 + 14}{5} = 7\)

The mean absolute deviation is:

\(MAD = \frac{|2 - 7| + |4 - 7| + |6 - 7|+ |9 - 7| + |14 - 7| }{5} = 3.6\)

And the population standard deviation is:

\(PSD = \sqrt{\frac{|2 - 7|^2 + |4 - 7|^2 + |6 - 7|^2+ |9 - 7|^2 + |14 - 7|^2 }{5}} = 4.2\)

In spherical coordinates, the region R is the set

\(R = \left\{ (\rho, \theta, \varphi) \, : \, 0 \le \rho \le 3, \, 0 \le \theta \le 2\pi, \, \dfrac\pi6 \le \varphi \le \pi\right\}\)

Then the volume of R is

\(\displaystyle \iiint_R dV = \int_0^3 \int_0^{2\pi} \int_{\frac\pi6}^\pi \rho^2 \sin(\varphi) \, d\varphi \, d\theta \, d\rho\)

The integrand is free of \(\theta\), so we can immediately compute that integral and pull out a factor of 2π :

\(\displaystyle \iiint_R dV = 2\pi \int_0^3 \int_{\frac\pi6}^\pi \rho^2 \sin(\varphi) \, d\varphi \, d\rho\)

and the remaining double can be factorized as

\(\displaystyle \iiint_R dV = 2\pi \left(\int_0^3 \rho^2 \, d\rho\right) \left(\int_{\frac\pi6}^\pi \sin(\varphi) \, d\varphi\right)\)

The single integrals are trivial:

\(\displaystyle \int_0^3 \rho^2 \, d\rho = \frac13 (3^3 - 0^3) = 3^2 = 9\)

\(\displaystyle \int_{\frac\pi6}^\pi \sin(\varphi) \, d\varphi = -\cos(\pi) - \left(-\cos\left(\frac\pi6\right)\right) = 1 + \frac{\sqrt3}2\)

So, the volume of R is

\(\displaystyle \iiint_R dV = 2\pi \cdot 9 \cdot \left(1 + \frac{\sqrt3}2\right) = \boxed{9(2+\sqrt3)\pi}\)

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:

Step-by-step explanation:

Step one:

given that the functions are

f(x)=√x+3,

g(x)=2x+9,

h(x)=x4 .

To Evaluate f(g(2)) , we need to find g(x=2)=2x+9,

substitute x=2 in g(x)=2x+9,

g(x=2)=2(2)+9,

g(x=2)=4+9,

g(x=2)=13

Step two:

now we can substitute  g(x)= 13 in the function  f(x)=√x+3

that is x=13

 f(g(2)) =√g(x)+3--------g(x)=13

f(g(2)) =√13+3

f(g(2)) =√16

f(g(2)) =4

Hence f(g(2))  is 4