1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naya [18.7K]
2 years ago
12

Help please

Mathematics
1 answer:
Trava [24]2 years ago
7 0

Answer: How do I show my work ?

Step-by-step explanation:

You might be interested in
In a G.P the difference between the 1st and 5th term is 150, and the difference between the
liubo4ka [24]

Answer:

Either \displaystyle \frac{-1522}{\sqrt{41}} (approximately -238) or \displaystyle \frac{1522}{\sqrt{41}} (approximately 238.)

Step-by-step explanation:

Let a denote the first term of this geometric series, and let r denote the common ratio of this geometric series.

The first five terms of this series would be:

  • a,
  • a\cdot r,
  • a \cdot r^2,
  • a \cdot r^3,
  • a \cdot r^4.

First equation:

a\, r^4 - a = 150.

Second equation:

a\, r^3 - a\, r = 48.

Rewrite and simplify the first equation.

\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}.

Therefore, the first equation becomes:

a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150..

Similarly, rewrite and simplify the second equation:

\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}.

Therefore, the second equation becomes:

a\, r\, \left(r^2 - 1\right) = 48.

Take the quotient between these two equations:

\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}.

Simplify and solve for r:

\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}.

8\, r^2 - 25\, r + 8 = 0.

Either \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16} or \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}.

Assume that \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}.

Similarly, assume that \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = \frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}.

4 0
3 years ago
Please help me ASAP. Find the area of the figure
ValentinkaMS [17]

Answer:

55.8

Step-by-step explanation:

all ya gotta do is multiply the numbers together

8 0
3 years ago
Based on these results, if 250 children are asked about their favorite activity, how many children will prefer organize sports?
ser-zykov [4K]

<u>Answer:</u>

60 out of 250 children will prefer organized sports.

<u>Step-by-step explanation:</u>

We are given the results of a random survey of children between the ages of 13 and 18 about their favorite activity.

Based on these results, we are to find the number of children who will prefer organized sports if 250 children were asked about their favorite activity.

Children who will prefer organized sports = \frac{37}{155} \times 250 = 60

5 0
3 years ago
Triangle HAM is translated using the rule (x,y)→(x+6, y) to create triangle H'A'M'.
Andrej [43]

The statement would best describe the line segments drawn would be they are parallel and congruent. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you.

4 0
3 years ago
Read 2 more answers
What is the missing number in the boxes
snow_tiger [21]
(311&1/4-186&3/4)/(5-3)=62&1/4
so the difference between each adjacent number is 62&1/4
when the top number is 4, the bottom number is 186&3/4+62&1/4=249 (a)
when the top number is 4, the bottom number is 311&1/4+62&1/4=373&1/2 (b)
C=10


5 0
3 years ago
Other questions:
  • Which expression is equivalent to 3(6m) + m?
    14·1 answer
  • If you're driving one and a half miles per minute, slow down by 15 miles per hour, and then reduce your speed by one third, how
    5·2 answers
  • The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
    14·2 answers
  • Does anyone know the answer??
    11·1 answer
  • Write the equation of a line that goes through the points (-7,9) and (-4,3).
    7·1 answer
  • At a certain time of day, a 1.8-m-tall person standing next to the Washington
    6·1 answer
  • Round 9.39 to the nearest whole number.
    5·1 answer
  • A shoe store uses a ​50% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a who
    5·2 answers
  • PLZ HELP ILL MARK YOU BRAINLIEST
    10·1 answer
  • What is the quotient (2x^2+10x+12)/(x+3)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!