A fence is to be installed around a rectangular field. the​ field's perimeter is 204204 feet. find the dimensions of the field if the length of the field is 8 feet more than the width.

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

Simplify the expression, then we have

⇒ [(x + 4) / (7)] - [(x + 3) / (x + 5)]

⇒ [(x + 4)(x + 5) - 7(x + 3)] / [7(x + 5)]

⇒ [x² + 9x + 20 - 7x - 21] / [7(x + 5)]

⇒ (x² + 2x - 1) / 7(x + 5)

The expression [(x + 4) / (7)] - [(x + 3) / (x + 5)] in simplified form will be (x² + 2x - 1) / 7(x + 5). Then the correct option is A.

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Answer:

C

Step-by-step explanation:

or (3, 15) and (4, 12)

Answer:

The answer has a positive 5 and 33.

Step-by-step explanation:

I used a calculator.

The statistic that the coach should study is mean or the average score of the two teams. If the coach wants to know if football players who warm up before a game will score more points than those who don't warm up. He will break the team up into two groups and make sure each player gets equal time on the field. He will then count how many points each player makes during the game. After counting them, add the scores of the group that he divided and then divided it by the number of player in that group to get an average score on teams that warm up or do not warm up before the game. 

Answer:

56

Step-by-step explanation:

Final answer:

To find the z-score corresponding to a cumulative area of 0.8770 in a standard normal distribution, one can look up this area in a z-table or use statistical software, yielding a z-score of approximately 1.15.

Explanation:

The question involves finding the value of z in a standard normal distribution given that the cumulative area to the left of z is 0.8770.

The z-score is a measure that describes the position of a raw score in terms of its distance from the mean, measured in standard deviations.

To find the value of z corresponding to an area of 0.8770, one would typically use a z-table or statistical software. The z-table lists areas to the left (cumulative probabilities) for different z-values.

For an area of 0.8770, the z-score is approximately 1.15. This calculation is based on the standard normal distribution, where the mean is 0 and the standard deviation is 1.

An equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0) is [tex]\bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]

The correct answer is option (A)

"The standard form of equation of ellipse with center (0, 0) is, [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

"The vertices of the standard ellipse [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex] are [tex](\pm a,0)[/tex] "

"The foci of the standard ellipse [tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex] are [tex](\pm c,0)[/tex], where [tex]c^{2} =a^{2}- b^{2}[/tex] "

For given question,

The center of the ellipse is at the origin.

Using the standard form of equation of the ellipse,

[tex]\frac{x^2}{a^2} +\frac{y^2}{b^2} =1[/tex]

A vertex at (13, 0)

⇒ (a, 0) = (13, 0)

⇒ a = 13

And a focus at (12, 0).

⇒ (c, 0) = (12, 0)

⇒ c = 12

We know, [tex]c^{2}= a^{2}- b^{2}[/tex]

Now, we find the value of b i.e., minor axis

[tex]\Rightarrow 12^{2} =13^{2}- b^{2}\\\\\Rightarrow b^2=169-144\\\\ \Rightarrow b^2=25\\\\\Rightarrow b=\pm 5[/tex]

Substituting these values in the standard form of equation of ellipse with center (0, 0),

[tex]\Rightarrow \frac{x^2}{a^2} +\frac{y^2}{b^2} =1\\\\\Rightarrow \bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]

Therefore, an equation in standard form for an ellipse with its center at the origin, a vertex at (13, 0), and a focus at (12, 0) is [tex]\bold{\frac{x^2}{169} +\frac{y^2}{25} =1}[/tex]

The correct answer is option (A)

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Answer:

F( x) = 0.35 x + 55

Answer: 2.661

Step-by-step explanation:

A P E X

4 2/3 = 14/3

15 = 15/1

14/3 * 15/1 = 14*15=210, 3*1 = 3

210/3 = 70

answer is 70

The solution would be like this for this specific problem:

Given:

{0, 1, 2, 3, 4}
Success = 2, 3, and 4

Solution:

Success = 3 numbers
Sample = 5

= 3 / 5

= .6

= .6 * 100%

= 60%

So, the estimated probability of a success based from the randomly generated list of numbers being used to simulate an event is 60%.

To add, the measure of the likelihood that an event will occur is called probability and it is quantified as a number between 0 and 1, where, loosely speaking, 0 indicates impossibility and 1 indicates certainty.

Her mistake is in the first step, she wrote the equation incorrectly.

A general quadratic equation:

ax^2 + bx + c = 0

has the solutions:

x = (-b ± √(b^2 - 4ac))/(2a)

In this case, the equation is:

y = x^2 - 8x + 7

And what Joyce writes in each step is:

Step 1:

x = (-8 ± √(8^2 - 4*1*7))/(2*1)

Then we can already see the mistake.

Notice that in the given equation, we have:

b = -8

And the general solution has:

x = (-b ± √(b^2 - 4ac))/(2a)

-b would be equal to 8, then what Joyce must have written here is:

x = (8 ± √((-8)^2 - 4*1*7))/(2*1)

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8 squared = 64

so

(x/4)*2 = 64

divide x/4 by 2 to get x/2=64

 now multiply both sides by 2 to get x=128

x = 128

Final answer:

The simplified expression of 7p³ + 2m³ - 6m³ + 4p - 9p + 6p³ is -4m³ + 13p³ - 5p, which is option d).

Explanation:

To simplify the expression 7p³ + 2m³ - 6m³ + 4p - 9p + 6p³, we need to combine like terms.

Like terms have the same variable raised to the same power.

In this case, terms with p raised to the third power can be combined, and terms with m raised to the third power can also be combined, as well as the terms with just p.

Now the expression is simplified to -4m³ + 13p³ - 5p, which corresponds to option d).

Answer:

Step-by-step explanation:

First, let's find the equation of the line.

The slope is defined by

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

Where we are gonna use points (2,0) and (9,7).

[tex]m=\frac{7-0}{9-2}=\frac{7}{7}=1[/tex]

Then, we use the point-slope formula to find the equation.

[tex]y-y_{1} =m(x-x_{1} )\\y-0=1(x-2)\\y=x-2[/tex]

So, if David's bill came to $66 after coupon, it means [tex]y=66[/tex].

Replacing this value in the equation, we have

[tex]y=x-2\\66=x-2\\x=66+2\\x=68[/tex]

Therefore, the price without coupon is $68.

Answer:

the value of x= 4.5

Step-by-step explanation:

If x varies directly with y and x = 3.5 when y = 14

x varies directly with y , so equation is x= ky

where k is the constant of proportionality

x = 3.5 when y = 14, use the given values and find out k

Plug in the given values in x=k y

3.5= k * 14

Divide by 14 on both sides

0.25= k

So the value of k = 0.25

Now find out x when y= 18

x= ky

x= 0.25 * 18= 4.5