The cost of a small business is given by the expression 3000 + 12x, where x is the number of units produced. The business will be profitable whenever its profit y exceeds its cost.

If the profit region is shaded in blue, which of the following graphs corresponds to the given situation?

According to Mai's experiment the experimental probability of landing on blue is 0.188. Based on the data, the theoretical probability of landing on blue is 0.2. In accordance with the above, we can infer that the more launches, the closer the experimental and theoretical probability will be.

To find the experimental probability of landing in blue, we must take 1,000 tosses as a reference. We must divide 1 in the number of launches:

Now we need to multiply this result by the number of times it landed on blue

To find the experimental probability of landing on blue we must divide 1 into the number of possibilities we have, in this case they are 10.

Now we must multiply this value by the number of opportunities we have to fall into blue, that is, 2.

Based on the information, we can infer that the most accurate statement with the information in the table is the first one because the theoretical and experimental probability are very close after 1,000 tosses.

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The coordinates of the triangle after the translation are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

The four translation rules are defined as follows:

The figure is translated 4 units right and 3 units up, hence the rule is given as follows:

(x, y) -> (x + 4, y + 3).

The original coordinates are given as follows:

R(-4,2), S(3,5) and T(-4,-4).

Hence the translated coordinates are given as follows:

R'(0, 5), S'(7, 8), T'(0, -1).

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The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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Answer:

5(-3)^2+7

Step-by-step explanation:

Answer:

5(-3)^2+7

Step-by-step explanation:

please this is my true answer dont judge me please..thank...

Answer:

1) y = 2(x+3)^2 -4

2) x+6/x-4

3) 2x^2 + 6x +20 = 0

Step-by-step explanation:

Answer:

B. In exactly the same location as B

Step-by-step explanation:

If A has the same value as B on the number line, they should be at the same location since any number placed to the right of B is bigger than B, and any number placed to the left of B is smaller than B. Being at the same location means they are equal.

Answer:

Given the statement: Square root 300c^9 = 10c^x square root 3 c

⇒\sqrt{300c^9} =10c^x\sqrt{3c}

300c

9

=10c

x

3c

Squaring both sides we get;

(\sqrt{300c^9})^2= (10c^x\sqrt{3c})^2(

300c

9

)

2

=(10c

x

3c

)

2

Simplify:

300c^9 = 100c^{2x}(3c)300c

9

=100c

2x

(3c)

We know: a^m \cdot a^n = a^{m+n}a

m

⋅a

n

=a

m+n

then;

300c^9 = 300c^{2x+1}300c

9

=300c

2x+1

Divide both sides by 300 we get;

c^9 = c^{2x+1}c

9

=c

2x+1

On comparing both sides we have;

9 = 2x+19=2x+1

Subtract 1 from both sides we get;

8 = 2x

Divide both sides by 2 we have;

x = 4

Therefore, for the value of x =4 the given statement is true.

Answer:

x=4

Step-by-step explanation:

Answer:

-72x - 53y + 287 = 0.

Step-by-step explanation:

To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.

The line mirror equation is given as 4x + 7y + 13 = 0.

The reflection of a point (x, y) in the line mirror can be found using the formula:

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

where A, B, and C are the coefficients of the line mirror equation.

For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.

Now, let's find the equations of the image of the circle.

The original circle equation is x² + y² + 16x - 24y + 183 = 0.

Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':

x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)

= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)

= (x - 8y - 8(4x + 7y + 13)) / 65

= (x - 8y - 32x - 56y - 104) / 65

= (-31x - 64y - 104) / 65

y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)

= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)

= (y - 14x + 8(Ax + By + C)) / 65

= (y - 14x + 8(4x + 7y + 13)) / 65

= (57x + 35y + 104) / 65

Therefore, the equation of the image of the circle is:

(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0

Simplifying the equation, we get:

-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0

-72x - 53y + 287 = 0

So, the equation of the image of the circle is -72x - 53y + 287 = 0.

Answer:

(1;1) and (0;4)

Step-by-step explanation:

1) if given f(x)=3x²-6x+4 (where a=3; b=-6 and c=4), then

\(x_0=\frac{-b}{2a}; \ = > \ x_0=1;\)

\(y_0=3*1-6*1+4=1;\)

it means, the vertex has coordinates (1;1).

2) if according to the condition x=0, then

f(0)=0-0+4=4;

it means the Y-intercept is 4.

Answer:

119 cm^2.

Step-by-step explanation:

Perimeter = 2(L + W)       where L = length and W = the width.

L = W+10 (given).

So substituting the given values:

48 = 2(L + W)

48 = 2(W+10 + W)

2(2W + 10) = 48

2W + 10 = 48/2 = 24

2W = 24 - 10 = 14

W = 7 cm.

So L = 17 cm.

Area = 7 * 17

= 119 cm^2.

Answer:

Both works will be repeated at 840km

Step-by-step explanation:

Given

Fills Petrol = Every 84km

Change Mobil = Every 120km

Required

Determine the distance where both works are done at the same time

This solution to this question is to solve for the LCM of 84 and 120

Start by factoring 84

\(84 = 2 * 2 * 3 * 7\)

Then, 120

\(120 = 2 * 2 * 2 * 3 * 5\)

Then the LCM is as follows;

\(LCM = 2 * 2 * 2 * 3 * 5 * 7\)

\(LCM = 840\)

Hence, both works will be repeated at 840km

Here, we want to factor by the use of synthetic division.

We divide at each point till we get the last zero

Since the highest power is 4, there should be 4 roots

So using the synthetic division, we have the following;

So, we have the initial quotient as x^3 + 6x^2 + 5x

Now, we proceed to divide this result by (x-3)

We have this as;

Answer:

(x - 3) (x^2 + 1)

Step-by-step explanation:

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

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

(x-3) [x^2(x-3)]/(x-3) + (x-3)/x-3)

(X-3) (x^2+1)

Answer:

\(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Step-by-step explanation:

Notice that \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=\frac{12(0)e^{0}-12(0)}{cos(5(0))-1}=\frac{0}{0}\), which is in indeterminate form, so we must use L'Hôpital's rule which states that \(\lim_{x \to c} \frac{f(x)}{g(x)}=\lim_{x \to c} \frac{f'(x)}{g'(x)}\). Basically, we keep differentiating the numerator and denominator until we can plug the limit in without having any discontinuities:

\(\frac{12xe^x-12x}{cos(5x)-1}\\\\\frac{12xe^x+12e^x-12}{-5sin(5x)}\\ \\\frac{12xe^x+12e^x+12e^x}{-25cos(5x)}\)

Now, plug in the limit and evaluate:

\(\frac{12(0)e^{0}+12e^{0}+12e^{0}}{-25cos(5(0))}\\ \\\frac{12+12}{-25cos(0)}\\ \\\frac{24}{-25}\\ \\-\frac{24}{25}\)

Thus, \(\lim_{x \to 0} \frac{12xe^x-12x}{cos(5x)-1}=-\frac{24}{25}\)

Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

\(\frac{11 p}{33 p}\times 100\\\\= 33.3 %\)

The gain percent is 33.3 %.

False. Extraneous variables should be controlled or held constant, not included as independent variables, in the context of dependent sample designs.

In the context of dependent sample designs, extraneous variables should be controlled or held constant. This means that all extraneous variables should be accounted for and their effects minimized before the study begins. This can be done by randomly assigning participants to the different conditions of the study, or by performing a matching procedure. For example, if age is identified as an extraneous variable, researchers could match participants of similar ages to the two conditions of the study. This ensures that any differences in the outcome are not due to age differences between the two groups. Extraneous variables should be controlled or held constant, not included as independent variables, in the context of dependent sample designs.

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Step-by-step explanation:

y = 2x

if x = 1 y = 2(1) = 2

if x = 2 y = 2(2) =4

Answer:

Pls. correct me if I'm wrong.

I hope it helps.

If you don't like it just ignire it. okay.

It is demonstrated that log3 (7) is irrational using unique factorization for integers theorem and the definition of logarithm.

If a contradiction is rational, then log3(7) = a/b for some a,b∈R .

In which, b≠0 will be true.

As a result, 7 = 3ᵃ/ᵇ according to the definition of logarithms.

7 = 1*7 is unique according to the unique factorization theorem.

Thus, it is demonstrated that log3 (7) is irrational using unique factorization for integers theorem and the definition of logarithm.

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Notice that on step two, where equation 1 is simplifed, we have the following when we multiply by -2 the first equation:

therefore, the error is on the step 2

Answer:

Your anwser is (-3 -4)

Step-by-step explanation:

Hope this helps you! 'v'

Answer:

9.98- 2.53 = 7.45

7.68 + 13.07 = 20.75

100.03 - 16.28 = 83.75

Step-by-step explanation:

 9.98

- 2.53

_____

7.45

  1   1        - Process of carrying 10's

   7.68

+ 13.07

_______

 20.75

0000 13 ⇔ What the number becomes after carrying

↑↑↑↑↑

100.03

- 16.28

______

83.75

Happy New Year!

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

9514 1404 393

Answer:

  3x² -17x +10

Step-by-step explanation:

Use the distributive property and collect terms.

  (x -5)(3x -2) = x(3x -2) -5(3x -2)

  = (3x² -2x) +(-15x +10)

  = 3x² -17x +10