Write in standard form of the equation of the line through the given points: through (2,2) and (-5,3)

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer:

common factors of 28 and 98, that are 1, 2, 14, and 7.

Step-by-step explanation:

hope it helps

Answer:

14

Step-by-step explanation:

28 = 2 x 2 x 7

98 = 2 x 7 x 7

Common factor of 28 and 98

= 2 x 7

= 14

Answer:

40 seconds

Step-by-step explanation:

8         20

16        40

32

40

40 seconds

It will take 40seconds to both the lights to flash at the same time again.

" Least common multiple is defined as the smallest common multiple of the given set of numbers."

According to the question,

Given ,

Time to flash Light A is  every 8 seconds.

Time to flash Light B is every 20 seconds.

Condition given

Both the lights flash at the same time

Least common multiple (8, 20) = 40seconds

Light A flashes in

8seconds , 16seconds , 24seconds , 32seconds, 40seconds

Light B flashes in

20seconds , 40seconds

Hence, both the light flashes at the same time again is at 40seconds.

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Answer:

15

Step-by-step explanation:

Supposing:

Coloured marbles = x

Glass marbles = y

According to Question

x = 3y

As,

x + y = 60

3y + y = 60 (putting value of x = 3y)

4y = 60

y = 60/4

y = 15

Hence, Leo has 15 Clear-glass marbles

is it factorization ...

Answer:

25100 i believe  would be the answer

Step-by-step explanation:

Step-by-step explanation:

9. 131+106+67+x=360

237+67+x=360

304+x=360

x=56

10. 90+90+146+w=360

180+146+w=360

326+w=360

w=34

The ordered pairs of the inequality expression is (0, 4)

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

The inequality expression  y>1/2x+3

To determine the ordered pairs of the inequality expression, we set x - 0 and then calculate the value of y

Using the above as a guide, we have the following:

y > 1/2 * 0 + 3

Evauate

y > 3

This means that the value of y is greater than 3 say y = 4

So, we have (0, 4)

Hence, the ordered pairs of the inequality expression is (0, 4)

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Answer:

157m

Step-by-step explanation:

*see image for diagram

cos 27 = \(\frac{x}{176m}\)

x = 176*cos27

x = 156.8171...

Answer:

the answer is 157 m explained in detail above

x=18√5 or 40.25m

Step-by-step explanation:

by using Pythagoras law

h²=p²+b²

x²=36²+18²

x=√1620=18√5 or 40.25m

In a sample of 10,000 observations from a normal population, about 27 would be expected to lie beyond three standard deviations of the mean, therefore, the correct option is b.

For a normal distribution, about 99.7% of the data is expected to lie within three standard deviations of the mean. This is known as the empirical rule or the 68-95-99.7 rule.

Using this rule, we can estimate the number of observations beyond three standard deviations of the mean for a sample of 10,000. Since the distribution is normal, we know that the mean and standard deviation completely describe the distribution.

Assuming the sample is representative of the population, we can use the empirical rule to estimate the number of observations beyond three standard deviations of the mean. Since three standard deviations from the mean cover 99.7% of the data, the remaining 0.3% of the data would be expected to lie beyond three standard deviations.

Therefore, the correct answer is c. about 27, since 0.3% of 10,000 is approximately 27.

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Answer:

\(x=-4\)

Step-by-step explanation:

\(6x+11=3x-1\)

To solve this equation, we must first minus(subtract) 3x from both sides of the equation.

\(6x+11-3x=3x-1-3x\)

And this equals:

\(3x+11=-1\)

Now we must subtract again, but 11 times now.

\(3x+11-11=-1-11\)

And this equals:

\(3x-12\)

Now let's make this into a fraction to divide.

\(\frac{3x}{3}\)

We get \(\frac{-12}{3}\)

Now we got our answer:

\(x=-4\)

Hope this helps!

Answer:

-4

Step-by-step explanation:

First you wanna subtract the 1 from the 11 then add subtract the 3x from the 6x and you should have 3x = -12 the. You just divide -12 by 3

Answer:

The value would be 100

Step-by-step explanation:

Answer:

−

2

2

=

2

(

−

1

0

)

x-22={\color{#c92786}{2(x-10)}}

x−22=2(x−10)

−

2

2

=

2

−

2

0

Step-by-step explanation:

Answer:

x=-21

Step-by-step explanation:

first expand the brackets

-22=2x-20

then make x on its own

-42=2x

then dived by 2

-21=x

Answer:

A)Deductive

B)Deductive

C)Inductive

D) Deductive

Step-by-step explanation:

The maximum profit if the profits per acre are $75 for corn and $40 for soybeans is $371,255.83. Therefore, the correct option is c.

To find the maximum profit from planting corn and soybeans, we can use linear programming. Let's first define the variables and write the constraints.

Let x be the number of acres of corn and y be the number of acres of soybeans.

1. Total acre constraint: x + y ≤ 6,000

2. Fertilizer/herbicide constraint: 9x + 3y ≤ 40,501

3. Labor constraint: 0.75x + y ≤ 5,250

The objective function to maximize is the profit function: P(x,y) = 75x + 40y

Now, we will use the Solver to find the maximum profit:

Step 1: Set up a spreadsheet with the constraints and the objective function.

Step 2: Go to the Data tab and click on Solver. If Solver is not available, you may need to add it in Excel Options.

Step 3: Set the objective function by selecting the cell with the profit function.

Step 4: Choose "Max" for the objective.

Step 5: Add the constraints by selecting the corresponding cells.

Step 6: Click on "Solve" and the Solver will find the optimal values for x and y.

After using Solver, we find that the optimal values are x = 4,363.89 (corn) and y = 1,636.11 (soybeans), which yields a maximum profit of $371,255.83. Therefore, the correct answer is c: $371,255.83

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Answer:

2000

Step-by-step explanation:

50 * 40 = 2000

Answer:

the awnser is 2000 have a nice day

The general solution is;y = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x)

Using the method of undetermined coefficients find the general solution of the differential equation yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinx.Method of undetermined coefficients:Undetermined coefficients method is a technique that is used to find the particular solution of non-homogeneous equations. We assume the solution to be the same as the non-homogeneous terms by multiplying it by an unknown constant or a function, and then differentiate this product until the left-hand side becomes zero.In the given equation yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinx

Let's solve the differential equation as follows;yⁱᵛ-2y''+2y''=3e⁻ˣ+3e⁻ˣ+e⁻ˣsinxThe characteristic equation is r⁴-2r²+2=0We obtain roots as, r = ± 1 ± iThen, general solution to the homogeneous equation isy_h = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin xTo find the particular solution; we must consider the different terms separately.3e⁻ˣThe function 3e⁻ˣ is not affected by differentiation. The equation for this term is:y_p = Ae^(-x)We take the derivative of this term, which is; (-Ae^(-x)). Substituting these values in the given equation, we get;-2Ae^(-x) + 2Ae^(-x) = 3e⁻ˣThe terms on the left-hand side cancel out, and we get:A = -3/(-2) = 3/2Therefore, the particular solution is:y_p = (3/2)e^(-x)

Now, the third term in the given equation is:e^-xsinx The function is sin(x) when differentiated twice, yields -sin(x)Therefore, we assume the solution to be;yₚ = A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x Differentiating the function;y'_p = (-Ae^(-x) + Be^(-x)) sin x + A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x Differentiating the function again;y''ₚ = (-2Ae^(-x) + 2 Be^(-x) - A⁻ᵢⁿᵢt sin x + B⁻ᵢⁿᵢt cos x)Therefore, substituting the values in the given equation;y''ₚ - 2y''ₚ + 2yₚ = e^(-x)sinx2 (-2Ae^(-x) + 2 Be^(-x) - A⁻ᵢⁿᵢt sin x + B⁻ᵢⁿᵢt cos x) - 2(-Ae^(-x) + Be^(-x)) + 2(A⁻ᵢⁿᵢt cos x + B⁻ᵢⁿᵢt sin x) = e^(-x) sinx The terms in the equation simplify to give;-6Ae^(-x) + 6 Be^(-x) + 2A⁻ᵢⁿᵢt cos x + 2B⁻ᵢⁿᵢt sin x = e^(-x) sinx Comparing the coefficients, we have 2 A⁻ᵢⁿᵢt cos x + 2B⁻ᵢⁿᵢt sin x = 0-6 Ae^(-x) + 6Be^(-x) = 0 Therefore,A = 0, B = 0 General solution to the non-homogeneous differential equation;y = y_h + y_ py = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x)

Therefore, the general solution is;y = C₁e^(x) cos x + C₂e^(x) sin x + C₃e^(-x) cos x + C₄e^(-x) sin x + (3/2)e^(-x).

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The unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.

To determine the unconfined compression strength of the clay sample, given that the major stress at failure is 3,000 psf, you can follow these steps:

1. Identify the major stress at failure, which is 3,000 psf in this case.

2. The unconfined compression test measures the unconfined compressive strength (UCS) of the clay sample. Since there is no lateral confinement in this test, the major stress at failure is equal to the unconfined compressive strength.

3. Therefore, the unconfined compression strength of the clay sample is 3,000 psf.

In summary, the unconfined compression strength of the clay sample is equal to the major stress at failure, which is 3,000 psf.

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Answer:

He may have used 32.5cm of wood

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Mean is the average amount of numbers. To find the mean, add all the numbers up and then subtract by how many there are.

All of those numbers together equal 9 and because there are 9 values there, I divided them which gave me 1.

Answer:   width=8, length=24

Step-by-step explanation:

2(x+3x)=64

2x+6x=64

x=8

width (x)=8

length (3x)=24

perimeter=2(x+3x)=64

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer: The first 3 options

Step-by-step explanation:

You have to make sure that the given variable would be able to equal -5. The  \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.

Answer:

g > -7, f ≤ -5 and g ≥ -5

Step-by-step explanation:

the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

A number's  root is that factor of the number that, when multiplied by itself, yields the original number. Specifically, squares and square roots are exponents. Think of the number nine. This can be expressed as  or as 3 x 3.

Here,

If an equation have 2 roots , it means it is a quadratic function

If D=0, a quadratic function has two roots that are equal.

D (discriminant) = 0

=>b24ac=0 is required for a polynomial function to have equal roots.

Therefore , it means if an equation have 2 roots , it means it is a quadratic function .

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Answer:

hello your question is incomplete attached below is the complete question

a) Histogram shows positive skewness and the box plot depicts the fact that the median of the 3-iron club is bigger while the variance of the 5-wood club is more than that of 3-iron club when compared to their distance

b)The Median is a better choice because it is not affected by skewness or outliners

c) Josh should use Club 3 iron.   Reason : it has less variance

Step-by-step explanation:

A) Histogram and box plot is attached below

Histogram shows positive skewness and the box plot depicts the fact that the median of the 3-iron club is bigger while the variance of the 5-wood club is more than that of 3-iron club when compared to their distance

B) The Median is a better choice because it is not affected by skewness or outliners

Typical distance when Josh hits with a wedge  = 4 , distance when Josh hits with an 8 iron = 10.5

c) Josh should use Club 3 iron.   Reason : it has less variance