Mia is building a fence using nails 2.5 in
long. She drives a nail through a board
that is 75 in. thick into a 4 in. square
fencepost. How much of the nail goes
into the post?

Answer:

37.5

Step-by-step explanation:

Answer: 37.5

Step-by-step explanation:

12.5% of 300=37.5

Answer:

9(9b+2)

Step-by-step explanation:

The words 'the sum of mean parenthesis.

And so 9 would be outside the parenthesis, then 9b and 2 would be inside.

Answer:

12

Step-by-step explanation:

There are 12 1/2's in 6.

To find how many 1/2's there are in 6, you have to divide 6 by 1/2.

6 ÷ 1/2

To divide by a fraction, you have to multiply by the reciprocal (reverse the numerator and denominator of a fraction).

6/1 × 2/1

6 × 2

= 12

Have a lovely rest of your day! :)

Check the picture below.

Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".

Answer Seven hundred and thirty thousand eight hundred twelve

The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

Given the 2 equations,

1)[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

2)3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

Equation 1

⇒[tex](x+5)^{2} -y[/tex] ; for x=-2 and y=1

⇒[tex](-2+5)^{2}[/tex]-1 {substituting x=-2 and y=1 }

⇒[tex]3^{2}[/tex]-1

⇒9-1

⇒8

Equation 2

⇒3x+4[tex]y^{2}[/tex]; for x=-3 and y=5

⇒3(-3)+4[tex](5)^{2}[/tex]  {substituting x=-3 and y=5 }

⇒-9+4(25)

⇒-9+100

⇒91

Therefore, The value of equation 1 = 8 and The value of equation 2 = 91 after substituting the given values.

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A qualitative forecasting technique that is useful for identifying what consumers like and dislike about a product is Market research.

What methods are employed in a qualitative forecast?

The expert opinion approach, the Delphi method, and the market survey approach are the three main methods utilized in qualitative forecasting.

What are qualitative forecasting models, and when are they useful?

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Answer:

1/2

Step-by-step explanation:

Z = 1.00, z-score is associated with this value.

Why is z-score important?

What Is a Z-Score?

one std dev to the right

so, Z = 1.00

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The complete question is?

Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?

Answer:

The Cobras

Step-by-step explanation:

I just took the test

Answer:the Cobras

Step-by-step explanation:

Answer:

The function is odd.

Step-by-step explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]

Answer:

300

Step-by-step explanation:

5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down

Answer:

2 Tablespoons make 4 cups. Popcorn pops to 40 times its original size. One ounce. 2 Tablespoons of kernels makes about 4 cups of popcorn. Four cups of popcorn have 125 calories :))

Authors note:

I really hoped this helped! :)))

The second equation is 3x + y = 2.

Let the other equation be of the form ax + by = c, where a, b and c are constants.

Given equation is 2x + y = 0

We have, a₁ = 2 and a₂ = 1

And b₁ = a and b₂ = b

Since, both equations have a unique solution,

∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂

2 ÷ a ≠ 1 ÷ b

2b ≠ a                                               … (1)

Also, (2, -4) is the solution of the equations, so it will satisfy the equations

2a - 4b = c

b = (2a - c)/4

Let c=2

b = (2a - 2) ÷ 4

b = 1

Now we can take any value for a and b which satisfy eq.(1)

Let a=3

b = (2(3) - 2) ÷ 4

b = 1

Thus, a = 3 and b=1 satisfy eq.(1)

Hence the second equation is 3x + y = 2

The equations are justified by keeping the values -

2x+y=0                               ... (2)

3x+y=2                             ... (3)

From eq.(2),

y=-2x

Putting value of y in eq. (3), we get,

3x+(-2x)=2

3x-2x=2

x=2

Now, putting x=2 in eq.(2)

2(2)+y=0

y=-4

Hence, the solution is justified.

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Answer:

The x is 2 and the y is 1. So, it's 1/2

Step-by-step explanation:

x = 2

y = 1

Slope goes y,x,

Answer:30x0

Step-by-step explanation:

Answer:

9y^2 + 9x - 18 or 9(y^2 + x - 2)

Step-by-step explanation:

9(y^2+x)=18

9y^2 + 9x=18

9y^2 + 9x - 18 = 0

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

The magnitude of the vector is 10√2 and the direction of the vector is 78.69°

Magnitude and the direction of the vectors:

A vector is a directed line segment with an initial point and a terminal point.

To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.

The formula for the magnitude of the vector is

|v|=√(a²+b²)

And the formula for the direction of the vector is,

θ=tan⁻¹(b/a)

where

(a, b) represents the given point.

Given,

Vector u,

Magnitude = 10 in

Direction angle = 45°

Vector v,

Magnitude = 10 in

Direction angle = 225°

Now we have to find the magnitude by apply the value on it,

=> |v|=√(10² + 10²)

=> |v|=√(100 + 100)

=> |v|=√200

=> |v|=√2 x 100

=> |v|=10√2

Similarly, the direction of the vector is,

=> θ = tan⁻¹ (225 / 45)

=> θ = tan⁻¹ (5)

=> θ = 78.69°

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In linear equation,  the value of x in the equation is 20/11.

What in mathematics is a linear equation?

3/4 (8x-6) -2= 1/2-x

24x - 18 - 2/4 = x/2

24x - 20/4 = x/2

2(24x - 20) = 4x

48x - 40 = 4x

48x - 4x =40

44x = 40

x = 40/44

x = 20/11

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Each student on average has 6 books.

To find how many books on average each student has:

Therefore, each student on average has 6 books.

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Answer:

8.97 x [tex]10^{6}[/tex]

Step-by-step explanation:

To add in scientific notation, the exponents need to be the same for the bases of 10.  You can either make them both to the exponent of 6 or 5.  It does not matter.  I made them both to the power of 5

(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])

(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])  

(86 x 3.7) x [tex]10^{5}[/tex]

89.7 x[tex]10^{5}[/tex]  Rewrite in scientific notation

8.97 x [tex]10^{6}[/tex]

Answer:

w = [tex]\frac{p -2l}{2}[/tex]

Step-by-step explanation:

p = 2l + 2w  Subtract 2l from both sides of the equation

p - 2l = 2p  Divide both sides by 2

[tex]\frac{p -2l}{2}[/tex] = w

Answer:

Step-by-step explanation:

Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.

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Answer:

The value of 1 tenth is less than the value of 1 ten

Step-by-step explanation:

1 tenth = 0.1
1 ten = 10

0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.