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Andre45 [30]
3 years ago
13

The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a

certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.

The referee was BLANK yards away from the goal line before moving.
Mathematics
1 answer:
Drupady [299]3 years ago
7 0

YOU WILL DO YOU GOOD LUCK

Step-by-step explanation:

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Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her c
nlexa [21]

Answer:

C.18(38) +2.5s >/= 750

Step-by-step explanation:

7 0
3 years ago
Find the radius of convergence, r, of the series. ? n2xn 7 · 14 · 21 · ? · (7n) n = 1
defon
I'm guessing the series is supposed to be

\displaystyle\sum_{n=1}^\infty\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}

By the ratio test, the series converges if the following limit is less than 1.

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7\cdot14\cdot21\cdot\cdots\cdot(7n)\cdot(7(n+1))}}{\frac{n^2x^n}{7\cdot14\cdot21\cdot\cdots\cdot(7n)}}\right|

The first n terms in the numerator's denominator cancel with the denominator's denominator:

\displaystyle\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2x^{n+1}}{7(n+1)}}{n^2x^n}\right|

|x^n| also cancels out and the remaining factor of |x| can be pulled out of the limit (as it doesn't depend on n).

\displaystyle|x|\lim_{n\to\infty}\left|\frac{\frac{(n+1)^2}{7(n+1)}}{n^2}\right|=|x|\lim_{n\to\infty}\frac{|n+1|}{7n^2}=0

which means the series converges everywhere (independently of x), and so the radius of convergence is infinite.
3 0
4 years ago
Given the points A (-4,-2) and B (4, 10), find the
mafiozo [28]

Answer:

  P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

  P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

  P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

  P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

  P = (2, 7)

8 0
1 year ago
The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp. Jackie wants to manipulate the
Sauron [17]

The function f(x) = 4(4)x represents the growth of a fly population every year in a remote swamp.

calculates three times a year, not just once a year.

f(x)= 4(4)^x

3 times a year

so x becomes 3x

f(x)= 4(1+r)^{3x}

4(4)^x=4(1+r)^{3x}

Take log on both sides

log(4)^x=log(1+r)^{3x}

log(4)^x=log(1+r)^{3x}

Use log property and move exponent before log

xlog(4)=3xlog(1+r)}

Divide both sides by x

log 4 = 3 log(1+r)

Solve for '1+r'

log 4 = log(1+r)^3

Remove log from both sides

4 = (1+r)^3

take cube root on both sides

1.584740= 1+r

1+r = 1.59

f(x)= 4(1+r)^{3x}

so equation becomes

f(x)= 4(1.59)^{3x}

1+r = 1.59

subtract 1 from both sides

So r= 59 = 59%

So growth factor is 59%

Answer is option C



5 0
3 years ago
-7m+4&lt; -45 for solving an inequality
worty [1.4K]

Solving the inequality -7m+4< -45 we get m>7

Step-by-step explanation:

We need to solve the inequality: -7m+4< -45

Solving:

-7m+4< -45

Adding -4 on both sides:

-7m+4-4< -45-4

-7m< -49

Divide both sides by -7 and reverse the inequality:

\frac{-7m}{-7}>\frac{-49}{-7}

m>7

So, solving the inequality -7m+4< -45 we get m>7

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

4 0
3 years ago
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