-3x + 4 = -29
what does x= ?

[<Answer>] (3):

Hello! I'm Avery. And I would love to help you :)

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[<The Explanation>}:

Step one: Distribute

\(144 = -12(x + 5)\)
\(144 = -12x - 60\)

Step two: Add 60 to both sides

\(144 = -12x - 60\\144 + 60 = -12 - 60 + 60\)

Step three: Simplify

Adding..Adding..(Done!): \(204 = -12x\)


Step four: Divide both sides by the same factor

\(204 = -12x\\\frac{204}{-12} = \frac{-12x}{-12}\)

Last and not least..Step five:

Divide then, Cancel the terms, Move the Variable to the left...

And.. x = -17 is the answer :D

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[<Ending>] <3

Hope this helps and if it's wrong, you can't sue me! >:D

Bye! Hope this works for you :)

Have a nice day! - Avery <3

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

The probability that the balls are drawn from the first urn is 0.99.

The given problem provides information on two urns. In the first urn, 70% of the balls are red, and 30% are blue, while in the second urn, 70% of the balls are blue, and 30% are red. From one of the urns, 12 balls are randomly drawn, out of which 8 are red, and 4 are blue.

We need to determine the probability that the balls are drawn from the first urn.

Let A be the event that the balls are drawn from the first urn. The probability of selecting urn 1 is given by P(A). Out of the 12 balls drawn, 8 are red and 4 are blue. Hence, we can write P(RRBBRRRRRRRR) = P(A) x P(8 red balls and 4 blue balls are drawn | A).

The probability of selecting either urn 1 or urn 2 is 0.5, which is represented as P(A) = P(B). Therefore, P(RRBBRRRRRRRR) = 0.5 x (0.7)^8 x (0.3)^4 = 0.00424.

Let B be the event that the balls are drawn from the second urn. The probability of selecting urn 2 is given by P(B). Out of the 12 balls drawn, 4 are red and 8 are blue. Hence, we can write P(BBRRBBBBBBBB) = P(B) x P(4 red balls and 8 blue balls are drawn | B).

Therefore, P(BBRRBBBBBBBB) = 0.5 x (0.3)^4 x (0.7)^8 = 0.00043.

The probability that the balls are drawn from the first urn is given by P(A | RRBBRRRRRRRR) = P(A) x P(RRBBRRRRRRRR) / [P(A) x P(RRBBRRRRRRRR) + P(B) x P(BBRRBBBBBBBB)].

Substituting the values, we get P(A | RRBBRRRRRRRR) = 0.5 x 0.00424 / [0.5 x 0.00424 + 0.5 x 0.00043] = 0.989 which is approximately 0.99.

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A line graph is best suited for showing changes in statistics over time or space.

Line graphs are commonly used to visualize trends, patterns, and fluctuations in data over a continuous or discrete period. The x-axis represents time or space, while the y-axis represents the corresponding statistic being measured. The line graph connects the data points, allowing for a clear representation of how the statistic changes over the given time or space interval.

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Answer:

-14

Step-by-step explanation:

f(x) = 3x-5

g(x) = -x^2 +1

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

g(2) =-4+1 = -3

Then stick the -3 in f(x)

f(-3) = 3(-3)-5 = -9 -5 = -14

f(g(2) = -14

Answer:

- 14

Step-by-step explanation:

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

= - 4 + 1

= - 3

f(-3) = 3 * (- 3) - 5

= - 9 - 5

= - 14

f(g(2)) = - 14

Hope this helps!

Independent groups designs and within-subjects designs both have their advantages and disadvantages, and the choice of which design to use depends on various factors such as the research question, the nature of the dependent variable, and practical considerations such as time and resources.

Independent groups designs allow for the comparison of two or more groups of participants, but they are vulnerable to individual differences between participants and possible confounding variables that may affect the results. Within-subjects designs eliminate individual differences and increase statistical power, but they are vulnerable to order effects and demand characteristics that may bias the results.

In general, researchers should carefully consider the strengths and weaknesses of both designs and choose the design that best suits their research question and hypotheses.

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Answer:

I do know

Step-by-step explanation:

The Laplace transform is a mathematical technique used to solve differential equations and analyze signals and systems in engineering, physics, and other fields. It is named after the French mathematician Pierre-Simon Laplace.

The Laplace transform of the given initial value problem is given by:

Y(s) = (2s^2 + 16) / (s^2(s^2+16))

Inverting the Laplace transform to find y(t) gives us:

y(t) = e^(-8t) * (1-cos(4t)) + 2sin(4t) + u2(t)

Where u2(t) is the Heaviside function that turns on at t = 2.

To find the Laplace transform of y(t), we first take the Laplace transform of both sides of the differential equation:

L(y''(t)) + 16L(y(t)) = L(e^(-2t)u_2(t))

Using the property L(y''(t)) = s^2Y(s) - sy(0) - y'(0) and noting that y(0) = 0 and y'(0) = 0, we can simplify to get:

s^2Y(s) + 16Y(s) = L(e^(-2t)u_2(t))

Using the property L(e^(-at)u_c(t)) = 1/(s + a) * e^(-cs), we can substitute to get:

s^2Y(s) + 16Y(s) = 1/(s + 2)^2

Now we can solve for Y(s):

Y(s) = 1/(s^2 + 16) * 1/(s + 2)^2

To find y(t), we need to take the inverse Laplace transform of Y(s). We can use partial fraction decomposition to simplify the expression:

Y(s) = A/(s^2 + 16) + B/(s + 2) + C/(s + 2)^2

Multiplying both sides by the denominator and solving for A, B, and C, we get:

A = 1/8

B = -1/4

C = 1/8

Substituting these values, we get:

Y(s) = 1/8 * 1/(s^2 + 16) - 1/4 * 1/(s + 2) + 1/8 * 1/(s + 2)^2

Taking the inverse Laplace transform of each term, we get:

y(t) = (1/8)sin(4t) - (1/4)e^(-2t) + (1/4)te^(-2t)

Therefore, the solution to the initial value problem y'' + 16y = e^(-2t)u_2(t), y(0) = 0, y'(0) = 0 is y(t) = (1/8)sin(4t) - (1/4)e^(-2t) + (1/4)te^(-2t).

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Answer:

The answer is 1,102

Step-by-step explanation:

First, we need to figure out how much per hour.

406 divided by 7 = 58

Now we multiply by the hours

58 x 19 = 1,102

Answer:

1,102 miles

Step-by-step explanation:

406=7

406/7= 58

1 hour = 58 miles

19 times 58 = 1,102

The division expressions and the methods to solve the product expressions is discussed above.

Given are the product expressions as shown in the image.

We can write the division expression for each of the following as -

{ 1 } -

5 x 1.25 = 6.25                       5 = 6.25/1.25                     1.25 = 6.25/5

{ 2 } -

5.2 x 3 = 15.6                         3 = 15.6/5.2                        5.2 = 15.6/3

{ 3 } -

1.2 x 5.8 = 6.96                     1.2 = 6.96/5.8                      5.8 = 6.96/1.2

{ 4 } -

12/5 x 3 = 36/5                     12/5 = (36/5)/3                     3 = (36/5)/(12/5)

In the similar way, the remaining expressions can be rearranged.  

Therefore, the division expressions and the methods to solve the product expressions is discussed above.

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{Question in english -

Mathematics book 2. Secondary Infinite}

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

To determine if any flavours of gum are more popular than others, the hypotheses for the company to test are:
Null hypothesis (H0): All flavours of gum are equally popular.
Alternative hypothesis (H1): At least one flavour of gum is more popular than the others.

B) To calculate the P-value, you need to perform a Chi-Square test on the given data. First, calculate the expected frequency for each flavour if they were equally popular. Since there are 80 people in the sample and 4 flavours, the expected frequency for each flavour is 80/4 = 20.
Now, compute the test statistic using the Chi-Square formula:
Χ² = Σ[(observed - expected)² / expected]
Χ² = [(25-20)²/20 + (19-20)²/20 + (22-20)²/20 + (14-20)²/20] = 3.25
With 3 degrees of freedom (number of flavors - 1), the P-value can be found using a Chi-Square distribution table or calculator. For this test statistic, the P-value is approximately 0.354.
C) To test the claim at a 1% significance level, compare the P-value to the significance level (alpha). Since the P-value (0.354) is greater than the significance level (0.01), we fail to reject the null hypothesis.
In conclusion, there is not enough evidence at the 1% significance level to suggest that any flavour of gum is more popular than the others.

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Answer: 12.1 years

Step-by-step explanation:

youd find 2.2% of 3000 which is 66 and then divide 800 by 66 to see how many years it would take to make 800 interest and you get 12.1 years. 90% sure on that answer btw

Answer:

If the picture below looks like the equation this should be the answer

17872.49

Step-by-step explanation:

Step-by-step explanation:

Given :

Circumstance = 176 mm

We know that,

C = 2πr

r = C / 2π

r = 176 × 7/ 22 × 2

r = 1232/44

r = 28 mm

Now,

d = 2r = 2(28) = 56 mm

Now,

A = π r²

A = 22/7 × (28)²

A = 22/7 × 784

A = 17248/7

A = 2464 mm²

Answer:

Step-by-step explanation:

Circumference, C = 2πr

given: c=176mm, π=\(\frac{22}{7}\)

c = 2 x \(\frac{22}{7}\) x r

176 = \(\frac{44}{7}\)r

r = \(\frac{7 *176}{44}\)

r = 28

Area, A = π\(r^{2}\)

A = \(\frac{22}{7}\) x \(28^{2}\)

A = 2464\(mm^{2}\)

The probability of 30 random people having weight more than 6000 pounds is 0.3134 or 31.34%.

To find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds, we can use the Central Limit Theorem (CLT) which states that the sum of a large number of independent and identically distributed random variables will tend to be normally distributed, regardless of the underlying distribution of the individual variables.

Since we know the average weight of a passenger (190 pounds) and a reasonable standard deviation (35 pounds), we can use this information to calculate the mean and standard deviation of the total weight of 30 passengers.

The mean weight of 30 passengers is:

30*190 = 5700 pounds

The standard deviation of the weight of 30 passengers is:

sqrt(30)*35 = 59.8076211353316

Now we can use the standard normal distribution table, or z-score formula to find the probability that the total weight of 30 randomly selected passengers exceeds 6000 pounds.

z = (6000-5700)/59.8076211353316

z = 0.50251572

The probability of a z-score being greater than 0.50251572 is 0.3134, this means that there is a 31.34% chance that the total weight of 30 randomly selected passengers will exceed 6000 pounds.

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Answer:

sorry the question isn't clear

The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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Answer:

The breadth of rectangular carpet is 1.8 m

Step-by-step explanation:

23.4/13=1.8  sorry if this is not enough explanation

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

The period of the given function f(x) = Cos 4x is π/2

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is a graph of the function f(x) = Cos 4x, we need to identify the period of this function.

We know that, the function of the form of :-

y = A Cos(Bx), The A and B coefficients can tell us the amplitude and period respectively.

So, comparing this equation to the given function equation, we get,

A = 1, Bx = 4x

The period of cosine is 2π, Therefore, the period would be 2π/B

Therefore, the period of the given function is 2π/4

= π/2

Hence, the period of the given function f(x) = Cos 4x is π/2

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Answer:

The answer is

C. The mapping represents y as a function of x, because each x-value corresponds to exactly one y-value.

Step-by-step explanation:

In mathematics, mapping is used synonymously to a function, and a function is basically a relation between two values or expressions say y and x

like the difference equation relating y and x.

In a function, for every value of x plugged into the function there is always a corresponding value of y.

Example.

Given the function

y=2x+5.

find the value of y when x=0

we are going to substitute x=0 and solve

y=2(0)+5

y=5

so for x=0 y=5

we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

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Step-by-step explanation:

80% = 7

divide by 80

1% = 0.0875

times by 100

100% = 8.75

8.75 - 7 = 1.75/1 hr 45 minutes more minutes till 100%

Answer:

x = 9, ∠ B = 40°

Step-by-step explanation:

∠ A and ∠ B are corresponding angles and congruent, so

5x - 5 = 3x + 13 ( subtract 3x from both sides )

2x - 5 = 13 ( add 5 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

∠ B = 3x + 13 = 3(9) + 13 = 27 + 13 = 40°

The value of the x is 9 and the measure of the angle B is 40 degrees because two parallel lines are cut by a transversal line the adjacent angle made will be equal.

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

We have:

The angle measurements in the diagram are represented by the following expressions:

When the two parallel lines are cut by a transversal line the adjacent angle made will be equal:

Angle A = Angle B

5x - 5 = 3x + 13

Solving the above linear equation:

5x - 3x = 5+13

2x = 18

x = 9

The measure of the angle B = 3x + 13

= 3(9) + 13

= 27 + 13

= 40 degrees

Thus, the value of the x is 9 and the measure of the angle B is 40 degrees because two parallel lines are cut by a transversal line the adjacent angle made will be equal.

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:5.2 x 10-1

Step-by-step explanation:hope i could help ;)

The lighter pumpkin weighs 3.12 kg, and the heavier pumpkin weighs 6.24 kg.

To solve this, we'll use the given information to set up an equation and then solve for the weight of each pumpkin.
Let the weight of the lighter pumpkin be x kg.

Since the heavier pumpkin is twice the weight of the lighter one, its weight would be 2x kg.
The combined weight of both pumpkins is 9.36 kg, so we can write an equation as follows:
x + 2x = 9.36
Now, we'll solve for x:
3x = 9.36
x = 9.36 / 3
x = 3.12 kg
Now that we have the weight of the lighter pumpkin (x = 3.12 kg), we can find the weight of the heavier pumpkin:
2x = 2(3.12) = 6.24 kg.

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