what is 3x-12=-15?

I need to know

Answer:

B.IT IS POSITIVE

Step-by-step explanation:

A manager at a concert venue is looking at the profits earned from the sale of tickets to an event. The manager wants to determine the amount of profits made based on a predicted number of tickets sold for the event.

Assuming the profit per ticket is constant, as the number of tickets sold increases the profit will increase; therefore, what is true of the rate of change?

A.IT IS NEGATIVE

B.IT IS POSITIVE

C.IT IS ZERO

D.THERE IS INSUFFICIENT INFO TO ANSWER

Solution:

The rate of change is the ratio between the change in one variable to the change in another quantity. The rate of change shows how one quantity (the output quantity) changes in relation to another quantity (the input quantity).

The rate of change is positive if as one quantity increases, the second quantity also increases and it is negative if as on quantity increases the second quantity decreases.

Given that rate of change = profit / number of tickets sold. If  as the number of tickets sold increases the profit will increase, the rate of change would be positive.

Answer:

you better like my answer, this tok forver to solve

Step-by-step explanation:

A = number of adult tickets

S = number of student tickets

1066 = total tickets sold

A + S = 1066

5A = money collected for adult tickets

S = money collected for student tickets

2438 = total money collected

5A + S = 2438

two equations and two unknowns:

5A + S = 2438

A + S = 1066

subtract 2nd equation from 1st and solve for A:

4A = 1219

A = 305

Plug in value for A in 1st equation and solve for S:

A + S = 1066

305 + S = 1066

S = 761

761 student tickets and 305 adult tickets were sold

Using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0.

To understand why this is the case, recall that the derivative of a function f at a point c is defined as the limit of the difference quotient as h approaches 0:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

Now, let's consider a constant function f(x) = k, where k is some constant. Then, for any value of x, we have f(x) = k.

Using the definition of the derivative, we can find the derivative of f at any point c:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

= lim (h -> 0) [k - k] / h

= lim (h -> 0) 0 / h

= 0

Since f'(c) = 0 for all values of c, we can conclude that the derivative of a constant function is equal to 0.In conclusion, using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0. This is because the difference quotient simplifies to 0 for any constant function, regardless of the value of the constant.

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It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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The charge q is ±7.46 × 10⁻⁷C.

Give:

Take a look at the charge on the left. The following forces are at work in response to this charge:

(Refer to the diagram below)

Because the charge is in equilibrium, the charge's vertical and horizontal forces must be zero.

We have the following in the vertical direction:

\(\begin{aligned}T \cos 20^{\circ} &=W \\\Rightarrow T &=\frac{m g}{\cos 20^{\circ}} \\&=\frac{3.0 \times 10^{-3} \mathrm{~kg} \times 9.8 \mathrm{~m} / \mathrm{s}^2}{\cos 20^{\circ}} \\&=3.13 \times 10^{-2} \mathrm{~N}\end{aligned}\)

Coulomb's Law states that the electrostatic force between two point charges, q₁, and q₂, separated by r is given by the equation:

\(\begin{aligned}F &=\frac{q_1 q_2}{4 \pi \epsilon_0 r^2} \\&=\frac{K q_1 q_2}{r^2}\end{aligned}\)

Here,

Using trigonometric personalities, the distance between any two charges is:

\(\begin{aligned}r &=2 l \sin 20^{\circ} \\&=2 \times 1.0 \mathrm{~m} \times 0.342 \\&=0.684 \mathrm{~m}\end{aligned}\)

We have the following in the vertical direction:

\(\begin{aligned}F_e &=T \sin 20^{\circ} \\\Rightarrow \frac{K q_1 q_2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow \frac{K q^2}{r^2} &=T \sin 20^{\circ} \\\Rightarrow q^2 &=\frac{r^2 T \sin 20^{\circ}}{K} \\&=\frac{(0.684 \mathrm{~m})^2 \times 3.13 \times 10^{-2} \mathrm{~N} \times \sin 20^{\circ}}{9 \times 10^9 \mathrm{~N} \cdot \mathrm{m}^2 / \mathrm{C}^2} \\&=55.65 \times 10^{-14} \mathrm{C}^2 \\\Rightarrow q &=\pm 7.46 \times 10^{-7} \mathrm{C}\end{aligned}\)

Therefore, the charge q is ±7.46 × 10⁻⁷C.

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The correct question is given below:
Two 3.0g point charges on 1.0m - long threads repel each other after being equally charged, as shown in the figure. What is the charge q?

Answer:

x = -3.25

Step-by-step explanation:

2/5 = 0.4

0.4x - 0.2 = -2(3/4)

-2(3/4) = -2/1 * 3/4 = -6/4

0.4x - 0.2 = -6/4

Convert to fraction

2/5x - 1/5 = -6/4

Add 1/5 to both sides

-6/4 + 1/5 = -30/20 + 4/20 = -26/20

2/5x = -26/20

Convert to decimal

0.4x = -1.3

-1.3/0.4 = -3.25

x = -3.25

The probability density function (PDF) for a uniformly distributed random variable between a and b is given by f(x) = 1/(b - a), where x is the value of the random variable and a and b are the endpoints of the distribution.  The conclusion is that the probability of the battery recharging time being more than 100 minutes is 1/2.

The probability density function (PDF) for a uniformly distributed random variable between a and b is given by f(x) = 1/(b - a), where x is the value of the random variable and a and b are the endpoints of the distribution.

In this scenario, a = 60 minutes (1 hour) and b = 100 minutes, so the PDF for the battery recharging time is f(x) = 1/(100 - 60) = 1/40.

To find the probability of the battery recharging time being more than 100 minutes, we need to calculate the area under the probability density function curve from 100 minutes to the maximum possible value, which is 120 minutes in this case.

Since the PDF is a constant 1/40 in the given interval, the area under the curve is equal to the height of the rectangle (1/40) multiplied by the width of the interval (20 minutes). So, the probability is (1/40) * 20 = 1/2.

The conclusion is that the probability of the battery recharging time being more than 100 minutes is 1/2.

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Answer:

4/15 was left over from is salary.

Step-by-step explanation:

Common denominator is 15. 5/15+6/15= 11/15.

15/15-11/15= 4/15.

If Mr Hassan spent 1/3 of his salary on food and 2/5 of the remainder on transport then 4/15  fraction of his salary was left.

A fraction represents a part of a whole.

Let us consider the salary of Hassan as 1.

Mr Hassan spent 1/3 of his salary on food

2/5 of the salary on transport.

We need to find the fraction of his salary left.

We need to subtract 1/3 and 2/5 from 1

1-1/3-2/5

LCM of 3 and 5 is 15

15-5-6/15

4/15

Hence, 4/15 is the fraction of Hassan salary was left

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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The speed of the fox should be greater than the rabbit's speed in other to catch up, Hence, the speed of the fox must be 35/t + 40

The distance between the rabbit and fox, d = 35 feets

The rabbit's speed = 40 feets per second

Fox's speed = F

In other to obtain a specific speed for the fox, the time at which the fox is required to catch up with the rabbit should be given.

Let the time = t

Recall :

Speed = distance / time

Distance = speed × time

Rabbit's distance from fox after time t will be :

35 + (40 × t) = 35+40t

Fox's distance after time, t = fox speed × t = F × t

In other to catch up ; both fox and rabbit must be at the same distance ;

Rabbit's distance at time t = Fox's distance at time t

35+40t = Ft

To solve for F which is the fox's speed:

Divide both sides by t

(35+40t) / t = Ft/t

35/t + 40 = F

Hence, the fox' s speed must be : 35/t + 40

To obtain the exact speed of the fox, we must be given a specific time value.

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To convert the given decimal numbers to hexadecimal and then to binary, we will first convert the integer part and then the decimal part separately. Here are the conversions:

(a) 757.2510 = 2F5.4A16 = 001011110101.010010102
(b) 123.1710 = 7B.2B16 = 011110110010.101100112
(c) 356.8910 = 164.E814 = 000101100100.1110100001012
(d) 1063.510 = 42F.8A16 = 010000101111.1000101012


(a) 757.2510
Hexadecimal: 2F5.4 (integer: 757 = 2F5, decimal: 0.25 ≈ 4/16)
Binary: 1011110101.0100 (integer: 2F5 = 1011110101, decimal: 4/16 = 0.0100)

(b) 123.1710
Hexadecimal: 7B.2B (integer: 123 = 7B, decimal: 0.17 ≈ 2B/256)
Binary: 1111011.00101011 (integer: 7B = 1111011, decimal: 2B/256 = 0.00101011)

(c) 356.8910
Hexadecimal: 164.1C (integer: 356 = 164, decimal: 0.89 ≈ 1C/256)
Binary: 101100100.00011100 (integer: 164 = 101100100, decimal: 1C/256 = 0.00011100)

(d) 1063.510
Hexadecimal: 427.83 (integer: 1063 = 427, decimal: 0.51 ≈ 83/256)
Binary: 10000100111.10000011 (integer: 427 = 10000100111, decimal: 83/256 = 0.10000011)

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Answer:

Step-by-step explanation:

150-147=3ml

he didn't add the remain of 147ml which was 3ml.

The number of the small rooms is 6.6

The number of the large rooms is 13.2

set of equation : 4x + 3y = 66

                               y= 2x

Variable definition:

Number of large rooms is x.

Number of small rooms is y.

Capacity of large rooms = 4 people.

Let the number of large room be x.

Thus, total number of people which can be accommodate in x rooms = 4x.

Capacity of Small rooms = 3 people.

Let the number of Small room be x.

Thus, total number of people which can be accommodate in x rooms = 3y.

Total no. of people which can be accommodate in x large rooms and y small rooms will be :

                                        4x + 3y

it is given that total small and large room can be accommodate 66 guests.

                               4x + 3y= 66 ------------------------------ (1)

It is given that Hudson reserved twice as many small rooms as large room. So, if no. of large room is x and no. of small room is y.

                               Then,     y = 2x   ------------------------------ (2)

Substituting value of y in equation , we have,

              4x + 3 × 2x = 66

        ⇒ 4x + 6x = 66

        ⇒ 10x  =66

          ⇒ x = 6.6

No. of small rooms is y = 2x

                                 ⇒ y = 2× 6.6 = 13.2

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Answer:

b

Step-by-step explanation:

because yeah

Answer:x3 − 3x2 − 5x + 15

Step-by-step explanation:

Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

If the bag contains a total of n blocks and m of them are blue, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws, assuming the selection process is random and the probabilities remain constant.

Let's assume that the bag contains a total of n blocks, and m of them are blue blocks. The probability of selecting a blue block on each draw, P(blue), would be m/n.

Since we are replacing the block after each selection, the total number of blocks in the bag remains the same throughout the process. Therefore, the probability of selecting a blue block on each draw remains constant at m/n.

To find the expected number of times we would select a blue block, we can multiply the probability of selecting a blue block on each draw (m/n) by the total number of draws (12):

Expected number of blue blocks = (m/n) * 12

The reasoning behind this is that in each individual draw, the probability of selecting a blue block is m/n. By performing 12 independent draws, we can expect to encounter this probability m/n a total of 12 times on average.

Therefore, if the bag contains n blocks with m blue blocks, we would expect to have selected a blue block approximately (m/n) * 12 times out of the 12 draws.

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Answer:

10

Step-by-step explanation:

According to the Pythagorean theorem

x²=6²+8²=100

x=√100

x=10

Answer:

23.5

Step-by-step explanation:

Point E is in between line D & F.

It is given that line segment DE = 14.1, and line segment EF = 9.4.

Combine the two numbers to get DF:

DF = DE + EF

DF = 14.1 + 9.4

DF = 23.5

23.5 is your answer.

~

Answer: y= -2x+4

Step-by-step explanation:

2y=-4x+8

y= -4/2x+8/2

Answer:

y=-2x+4

Step-by-step explanation:

4x+2y=8

2y=8-4x

y=(8-4x)/2

y=4-2x

y=-2x+4

Equation one can be solved by additive property two by subtractive property.

A mathematical statement known as an equation consists of two algebraic expressions separated by equal signs (=) on either side.

It demonstrates the equality of the relationship between the printed statements on the left and right.

Left side equals right side in all formulas.

To find the values of unknowable variables, which stand in for unknowable quantities, you can solve equations.

A statement is not an equation if it lacks the equals sign.

When two expressions have the same value, a mathematical statement known as an equation will include the symbol "equal to" between them.

7=m+1.2

m=7-1.2

6.8

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Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

Step-by-step explanation:

Based on the given information, we have the mean concentration of sodium in the drinking water of a water system in Connecticut as 26.4 mg/l and the standard deviation as 6 mg/l.

The water department selects a simple random sample of 32 water specimens over the course of a year. To answer the question using the distributions tool, we need to set the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations.

The expected mean for the distribution of sample mean concentrations is the same as the mean concentration of sodium in the drinking water, which is 26.4 mg/l.

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The water department in Connecticut is monitoring the concentration of sodium in their drinking water. By calculating the mean and standard error for the distribution of sample means, they can determine the probability of the mean concentration exceeding the notification level of 28 mg/l. If this probability is low, the water department will notify the public and recommend necessary actions.

In this scenario, the water department in Connecticut wants to monitor the concentration of sodium in their drinking water. They have set a notification level of 28 mg/l, meaning that if the mean concentration of sodium across a sample of 32 water specimens exceeds this level, they will notify the public.

To analyze this situation, we can use the distribution of sample means. The mean concentration of sodium in the drinking water of the water system is given as 26.4 mg/l, with a standard deviation of 6 mg/l.

To find the expected mean and standard error for the distribution of sample means, we can use the following formulas:

Expected mean of sample means = population mean

                                                        = 26.4 mg/l
Standard error of sample means = population standard deviation / square root of sample size

Using the given values, the standard error of sample means can be calculated as follows:
Standard error of sample means = 6 mg/l / square root of 32

                                                      ≈ 1.06 mg/l

Now, we can use a distributions tool to find the probability that the mean concentration of sodium in the sample of 32 water specimens exceeds 28 mg/l. We will set the mean parameter on the tool to 26.4 mg/l and the standard deviation parameter to 1.06 mg/l.

By entering these values into the distributions tool, we can find the probability of obtaining a mean concentration greater than 28 mg/l. If this probability is less than a certain threshold (e.g., 0.05), it indicates that the mean concentration exceeding 28 mg/l is unlikely to occur by chance alone. In such cases, the water department would notify the public and recommend that individuals on sodium-restricted diets inform their physicians of the sodium content in their drinking water.

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Answer:

Exact Form:

61/12

Decimal Form:

5.083 with 3 repeating

Mixed Number Form:

5   1/12

Step-by-Step Explanation:

-5/3×3/8 = -5/8

-5/8+3/8= -1/4

-1/4+6/9=5/12

5/12+14/3=61/12

Answer:

120.25

Step-by-step explanation:

4 to the third power is 64. so 64 + 9 = 83. 20-8 = 18. 6 + 2 = 8.

so 83 + 18 + 8 = 109. so 8 divided by 18 = 2.25. 109 + 9 + 2.25 = 120.25.

Answer:

x < -1

Step-by-step explanation:

The work done by the force is approximately 1.9 Joules.

The force experienced by an object moving along the parametrized curve r(t) = t, t², t³ with 0 ≤ t ≤ 1

when the force is given by f = 2x²y, -xz, 2z can be computed using the equation,W = ∫F.dr,where F is the force vector and dr is the displacement vector of the object.

Therefore, the work done by the force is given byW = ∫F.dr = ∫(2x²y, -xz, 2z).(dx, dy, dz)

Here, we need to express the given parametric equation of the curve in terms of x, y, and z.t = x, t² = y, t³ = z.

Then, dx = dt, dy = 2tdt, dz = 3t²dt.

Substituting these values, we haveW = ∫(2x²y, -xz, 2z).(dx, dy, dz)= ∫(2x²t², -x.t³, 2t³).(dt, 2tdt, 3t²dt)= ∫(2t².x² + 6t⁵)dt = [2/3.t³.x² + 1/2.t⁶]₁₀= (2/3.1³.x² + 1/2.1⁶) - (2/3.0³.x² + 1/2.0⁶)= 2/3.x² + 1/2.≈ 1.9J

Therefore, the work done by the force is approximately 1.9 Joules.

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\(\longrightarrow{\blue{ 2 \: ( \: 32 \: y + 3 \: x \: )}}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(64 \: y + 6 \: x\)

\( = 2 \: ( \: 32 \: y + 3 \: x \: )\)

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

2 ( 32y + 3 x)

Step-by-step explanation:

64 y + 6x

factor out 2 from the equation

2 ( 32y + 3 x)