When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. How tall wa the buh after the two week

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

The average salary is $57,500

Step-by-step explanation:

You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2

To find the total salaries"

18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000

2300000/40 = 57,500

Angle 1 and angle 2 are supplementary angles, simply because they are angles on a straight like (or you can say angles that add up to 180)

Answer:

supplementary angles

Step-by-step explanation:

Supplementary angles add up to 180 and are straight.

Answer:

Their speeds are;

5.83 mph and 17.49 mph

Step-by-step explanation:

We are told that they leave the park the same time.

Let the speed one car traveled be v

Since the other car is 3 times faster, then it means that, it's speed is 3v.

Now, after 6 hours they travel 140 miles.

We know that;

Speed = distance/time.

Thus;

(v + 3v) = 140/6

4v = 140/6

v = 140/24

v = 5.83 mph

Thus, second car's speed = 3v = 3 × 5.83 = 17.49 mph

The solution of the equation is 36x^3-21x^2+16x-8/x^2.

The given expression can be written as:

9x^4-7x^3+8x^2-8/x+10/x^4

Using the power rule of differentiation, the derivative of the expression is given by:

d/dx[9x^4-7x^3+8x^2-8/x+10/x^4] =

d/dx[9x^4] - d/dx[7x^3] + d/dx[8x^2] - d/dx[8/x] + d/dx[10/x^4]

= 36x^3 - 21x^2 + 16x - 8/x^2 + 0.

Therefore, the derivative of the given expression with respect to x is 36x^3-21x^2+16x-8/x^2.

Power Rule: For a function of the form f(x) = x^n, the derivative is f'(x) = nx^(n-1).

Constant Multiple Rule: For a function of the form f(x) = cg(x), the derivative is f'(x) = cg'(x).

Sum Rule: For a function of the form f(x) = g(x) + h(x), the derivative is f'(x) = g'(x) + h'(x).

Difference Rule: For a function of the form f(x) = g(x) - h(x), the derivative is f'(x) = g'(x) - h'(x).

Product Rule: For a function of the form f(x) = g(x)h(x), the derivative is f'(x) = g'(x)h(x) + h'(x)g(x).

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Answer:

12.36

Step-by-step explanation:

the standard deviation is 12.36123 or 12.36 rounded.

Answer:

AD = 230

Step-by-step explanation:

AD = 30x - 10

MN = 31x + 1

BC = 30x + 28

To find the length of AD, we need to generate an equation that will enable us to find the value of x.

Thus,

MN = ½(AD + BC) => Trapezoid Midsegment Theorem

Plug in the values

31x + 1 = ½(30x - 10 + 30x + 28)

(31x + 1) × 2 = 30x - 10 + 30x + 28

62x + 2 = 30x - 10 + 30x + 28

Add like terms

62x + 2 = 60x + 18

62x - 60x = -2 + 18

2x = 16

x = 16/2

x = 8

✅AD = 30x - 10

Plug in the value of x

AD = 30(8) - 10 = 230

The probability density function of EX + (1 - §)Y is given by f(x) * p + g(x) * (1 - p), where f(x) and g(x) are the density functions of X and Y, respectively, and p is the probability of success for the Bernoulli distributed random variable §.

To compute the probability density function (pdf) of EX + (1 - §)Y, we can make use of the properties of expected value and independence. The expected value of a random variable is essentially the average value it takes over all possible outcomes. In this case, we have two random variables, X and Y, with their respective density functions f(x) and g(x).

The expression EX + (1 - §)Y represents a linear combination of X and Y, where the weight for X is the probability of success p and the weight for Y is (1 - p). Since the Bernoulli random variable § is independent of X and Y, we can treat p as a constant in the context of this calculation.

To find the pdf of EX + (1 - §)Y, we need to consider the probability that the combined random variable takes on a particular value x. This probability can be expressed as the sum of two components. The first component, f(x) * p, represents the contribution from X, where f(x) is the density function of X. The second component, g(x) * (1 - p), represents the contribution from Y, where g(x) is the density function of Y.

By combining these two components, we obtain the pdf of EX + (1 - §)Y as f(x) * p + g(x) * (1 - p).

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The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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There is no value of x that satisfies the given equation.

To solve the equation x² = 2² : x³ = 3³ : 10², we can simplify each ratio separately and then solve for x. Let's break it down step by step:

First, simplify the ratios:

x² = 4 : x³ = 27 : 100

Next, equate the ratios:

x² = 4 = x³ = 27 = 100

Since the equation x² = 4 implies that x is either 2 or -2, we need to test both values in the other ratios to find the correct solution.

For x = 2:

2³ = 8 ≠ 27, so this is not a valid solution.

For x = -2:

(-2)³ = -8 ≠ 27, so this is also not a valid solution.

Therefore, there is no value of x that satisfies the given equation.

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The correct option is c. -μx¯=84;σx¯=6; distribution approximately normal.

The option that best describes what we know about the sampling distribution of means for his sample is: -μx¯=84;σx¯=6; distribution approximately normal. The probability distribution of all possible sample means of a given size that can be obtained from a population is referred to as the sampling distribution of means. It is obtained by calculating the mean of each sample and repeatedly drawing all possible random samples of a certain size from the population.

The formula to calculate the standard deviation of the sampling distribution of means is given by:σx¯ = σ/√nWhere,σ = the standard deviation of the population. n = the sample size.

In the given question,μ = 84 g,σ = 18 g, and n = 9 g.

To find σx¯, we use the formula:σx¯ = σ/√nσx¯ = 18/√9σx¯ = 18/3σx¯ = 6 g.

Thus, the correct option is c. -μx¯=84;σx¯=6; distribution approximately normal.

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Step-by-step explanation:

-5x+2y= 4         <==== Multiply entire equation by -3 to get:

15x-6y = -12  

2x+3y= 6          <====  Multiply entire equation by 2 to get :

4x+6y = 12    Add the two underlined equations to eliminate 'y'

19x = 0     so x = 0

sub in x = 0 into any of the equations to find:  y = 2

(0,2)

Answer:

15 bundles of roofing shingles

Step-by-step explanation:

Total bundles of roofing shingles = 29

He carries two bundles at a time

How many bundles are still on the ground after his seventh trip up the ladder?

First trip = 2 bundles of roofing shingles

Second trip = 2 bundles of roofing shingles

Third trip = 2 bundles of roofing shingles

Fourth trip = 2 bundles of roofing shingles

Fifth trip = 2 bundles of roofing shingles

Sixth trip = 2 bundles of roofing shingles

Seventh trip = 2 bundles of roofing shingles

Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2

= 14 bundles of roofing shingles

Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips

= 29 - 14

= 15 bundles of roofing shingles

Answer:

14

Step-by-step explanation:

we know that w and 2 are the same here, so substitute w with 2: 7(2)

this means 7 times 2, and that is 14

Answer:

14

Step-by-step explanation:

If w=2

Plug in 7(2)... Multiply then you would have 14.

Answer:

Step-by-step explanation:

(3 + x)/2 = 6

3 + x = 12

x = 9

(2 + y)/2 = -2

2 + y = -4

y = -6

(9, -6) the other endpoint C

We can conclude that 58 tourists purchased seashells as souvenirs out of the 232 tourists shopping in Venice, Florida.

Out of 232 tourists shopping in Venice, Florida, 25% purchased seashells as souvenirs. Using the percent as a rate per 100, 58 tourists purchased seashells.

To find the number of tourists purchased seashells, we will use the following steps:

Convert the percent to decimal. Multiply the decimal by the total number of tourists.

Divide by 100 to find the number of tourists that bought seashells.

Convert the percent to decimal:25% = 25/100 = 0.25Multiply the decimal by the total number of tourists:0.25 × 232 = 58Divide by 100

To find the number of tourists that bought seashells:58 / 100 = 0.58

We can conclude that 58 tourists purchased seashells as souvenirs out of the 232 tourists shopping in Venice, Florida.

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Answer:

There are 13 square units.

Answer:

Line 2

Step-by-step explanation:

An ordered pair of a coordinate is writted ( x , y ). So you can plug in the X and Y values from the ordered pair into the Lines.

Line 2 will look like this: -3(-2) - 2(5) = 4

Once you input the variables you can solve from there.

If the answer comes out like this 4=4 then it is true.

If the answer comes out like this 5=4 then it is not true, since 5 does not equal 4.

The value of g in the intersected lines is 28 degrees.

When lines intersect, angle relationships are formed such as linear angles, adjacent angle, vertically opposite angles. Therefore, let's find the angle g in the intersected lines as follows:

Therefore,

g + 43 = 71

subtract 43 from both sides of the equation'

g + 43 - 43 = 71 - 43

g = 28

Therefore,

g = 28 degrees

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B1. the bottle would contain less than 36 oz approximately 20.33% of the time when the machine is set at 37 oz.

B2. The bottles will overflow approximately 4.75% of the time when the machine is set at 38 oz.

B3. The probability that at least one bottle will overflow out of 10 bottles filled when the machine is set at 38 oz is approximately 99.9%.

B4. The probability that exactly 3 bottles will overflow out of 15 bottles filled when the machine is set at 38 oz is approximately 25.0%.

B5. The bottle would need to be approximately 40.796 oz or larger to avoid overflowing 99.8% of the time when the machine is set at 38 oz.

B1. To find the percentage of time the bottle contains less than 36 oz when the machine is set at 37 oz, we need to calculate the probability that a random bottle will have a volume less than 36 oz.

Using the normal distribution, we can calculate the z-score (standardized score) for 36 oz using the formula:

z = (x - μ) / σ

where x is the desired value (36 oz), μ is the mean of the process (37 oz), and σ is the standard deviation (1.2 oz).

z = (36 - 37) / 1.2

z ≈ -0.833

Using a standard normal distribution table or a statistical calculator, we can find the cumulative probability associated with this z-score.

P(X < 36) = P(Z < -0.833) ≈ 0.2033

Therefore, the bottle would contain less than 36 oz approximately 20.33% of the time when the machine is set at 37 oz.

B2. To find the percentage of time the bottles will overflow when the machine is set at 38 oz, we need to calculate the probability that a random bottle will have a volume greater than 40 oz.

Using the normal distribution, we can calculate the z-score for 40 oz using the formula mentioned earlier:

z = (x - μ) / σ

z = (40 - 38) / 1.2

z ≈ 1.67

Using a standard normal distribution table or a statistical calculator, we can find the cumulative probability associated with this z-score.

P(X > 40) = P(Z > 1.67) ≈ 0.0475

Therefore, the bottles will overflow approximately 4.75% of the time when the machine is set at 38 oz.

B3. To find the probability that at least one bottle will overflow out of 10 bottles filled when the machine is set at 38 oz, we can use the complement rule and subtract the probability that none of the bottles overflow.

The probability of no overflow in a single bottle is given by:

P(X ≤ 38) = P(Z ≤ (38 - 38) / 1.2) = P(Z ≤ 0) ≈ 0.5

Therefore, the probability of no overflow in 10 bottles is:

P(no overflow in 10 bottles) = (0.5)¹⁰ ≈ 0.00098

The probability that at least one bottle will overflow is the complement of no overflow:

P(at least one overflow in 10 bottles) = 1 - P(no overflow in 10 bottles) ≈ 1 - 0.00098 ≈ 0.999

Therefore, the probability that at least one bottle will overflow out of 10 bottles filled when the machine is set at 38 oz is approximately 99.9%.

B4. To find the probability that exactly 3 bottles will overflow out of 15 bottles filled when the machine is set at 38 oz, we can use the binomial distribution formula:

P(X = k) = (nCk) * \(p^k * (1 - p)^{(n - k)\)

where n is the number of trials (15), k is the desired number of successes (3), p is the probability of success (probability of overflow), and (nCk) is the number of combinations.

Using the probability of overflow calculated in B2:

p = 0.0475

The number of combinations for selecting 3 out of 15 bottles is given by:

15C3 = 15! / (3! * (15 - 3)!) = 455

Plugging the values into the binomial distribution formula:

P(X = 3) = 455 * (0.0475)³ * (1 - 0.0475)¹² ≈ 0.250

Therefore, the probability that exactly 3 bottles will overflow out of 15 bottles filled when the machine is set at 38 oz is approximately 25.0%.

B5. To determine the required size of the bottle to avoid overflowing 99.8% of the time when the machine is set at 38 oz, we need to find the z-score corresponding to a cumulative probability of 0.998.

Using a standard normal distribution table or a statistical calculator, we find the z-score for a cumulative probability of 0.998 to be approximately 2.33.

Using the formula mentioned earlier:

z = (x - μ) / σ

Substituting the known values:

2.33 = (x - 38) / 1.2

Solving for x:

x - 38 = 2.33 * 1.2

x - 38 ≈ 2.796

x ≈ 40.796

Therefore, the bottle would need to be approximately 40.796 oz or larger to avoid overflowing 99.8% of the time when the machine is set at 38 oz.

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Answer:

y = (4/3)x - 2/3

Step-by-step explanation:

From (-6, -2) to (-3, 2) we see the x-component changing by 3 units and the y-component by 4 units.  Thus, the slope of this new line is

m = rise / run = 4/3.  

Let's focus on the point (-3, 2).  Here x = -3 and y = 2.  Plugging these three values into the slope-intercept form of the equation of a line, we get:

2 = (4/3)(2) + b.

Then 2 = 8/3 + b, or 6/3 = 8/3 + b.  Thus, b = 6/3 - 8/3, or -2/3.

The equation of the desired line is y = (4/3)x - 2/3

Answer:y=4/3x+6

Step-by-step explanation:

Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

Using Algebraic equations, Option A is correct, if its \(y^2 = 9x^2\) then  only  implies y =  3x.

A function that may be characterized as the polynomial equation's root is an algebraic function. Algebraic expressions with a finite number of terms and solely the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power make up algebraic functions quite frequently.

A function which is not algebraic is called a transcendental function.

we can clearly see that from x+ y=5 we can substitute  y = 5-x in y = 9x^2

Option B is clearly incorrect  x can not be y -5

Option C  is incorrect because y can not be 5 +x

Option D is incorrect because  its \(y = 9x^{2}\) not \(y^2 =9x^2\)so y can not be 3x

if its \(y^2 = 9x^2\) then  only  implies y =  3x

Hence , option A is correct

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Complete question -

The profit of the sales is (a) $27

From the question, we have the following parameters that can be used in our computation:

This means that

Profit = 6x + 6 - x + 1

Evaluate the like terms

Profit = 5x + 7

When x = 4, we have

Profit = 5 * 4 + 7

Evaluate

Progit = 27

Hence, the profit is $27

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Answer:

A:$27

Step-by-step explanation:

i took the test and got it right

Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.

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Step-by-step explanation:

1)Always

2)never

3)Always

4)Never

Answer:

Answer:

hope this helps

Step-by-step explanation:

a. 1/4 as a power of 2 = root 4 v/2

b.

Radium-226 mass decays to 1/4 of it mass every 6400 years

64gr ( 1/4) = 16gr ----→after 6400 years its mass is 16gr

now its current mass is 16gr

16gr (1/4) = 4gr -----> after another 6400 years its mass is 4gr

again, its current mass after 12800 years is 4gr

4gr (1/4) = 1gr ------> after another 6400 years its mass is 1gr

why 4600 3 times? = 4600+4600+4600 = 19200 years

the remaining mass after 19200 years is 1gr