Answers
Answer:
[tex]\frac{3x^2}{x^2-6x-7}[/tex]
Step-by-step explanation:
The first step is to find the multiplied out numerator and denominator, and then to simplify if possible. For the numerator, 3x*x=3x^2. For the denominator, (x+1)(x-7)=x^2-6x-7. This gives a final fraction of [tex]\frac{3x^2}{x^2-6x-7}[/tex]. Hope this helps!
Related Questions
Find the sum of the first 8 terms in the geometric sequence: 1, 3, 9, 27,
Answers
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.
Step-by-step explanation:
The given is,
sequence: 1,3,9,21,.. etc
Step:1
The given is based on multiplication of 3 to previous number,
( x - previous number, next number = 3 × [tex]x[/tex] )
First term : 1
Second term : 1 × 3 = 3
Third term : 3 × 3 = 9
Fourth term : 9 × 3 =27
Fifth term : 27 × 3 = 81
Sixth term : 81 × 3 = 243
Seventh term : 243 × 3 = 729
Eighth term : 729 × 3 = 2187
Step:2
Sum of first 8 terms [tex]= 1 + 3 + 9 + 27 + 81 + 243 + 729 + 2187[/tex]
= 3280
Sum of first 8 terms = 3280
Result:
The sum of the first 8 items in the geometric sequence:1, 3, 9, 27, ...etc is 3280.
the sum of two numbers is 52 and their product is 100
Answers
Answer: 50 and 2
Explaination:
50 x 2 = 100
50 + 2 = 52
Help!!! Free Brainliest to correct answer!!
Answers
Answer: 7
Step-by-step explanation:
-2(-8) please help me
Answers
Answer:
Its 7 hope i helped
Step-by-step explanation:
I think this question is -2 times -8 pls tell me if thats wrong but the answer would be 16. PLs mark me as brainliest.
The base of a rectangular fish tank measures 18 inches long by 10 inches wide. If it is filled with 1,080 cubic
inches of water, how many inches high would the water be in the fish tank?
Answers
Answer:6
Step-by-step explanation:
18 lengh times 10 width = 180
1,080/ 180 = 6
PLEASE HELP WILL NAME BRAINLIEST the temperature in degrees Fahrenheit can be estimated by counting the number of times a cricket chirps in one minute. if a cricket chirps 132 times in one minute, use this formula to find the approximate temperature outside
C divided by 4+37
41
33
70
Answers
Answer:
C) 70
Step-by-step explanation:
To solve this problem, we simply use the equation provided:
[tex]x=\frac{C}{4} +37[/tex]
C= cricket chirps per minute
Lets plug the values into the equation:
[tex]x=\frac{132}{4}+37[/tex] First, divide 132 by 4.
[tex]x= 33 +37[/tex] Next, add 33 and 37.
[tex]x=70[/tex]
The estimated temperature is 70 degrees.
Amelie randomly picked 15 flowers from a garden. 5 of the flowers she picked were tulips. What is the experimental probability that the next flower she picks will be a tulip?
Answers
Answer:
[tex] \frac{1}{3 } [/tex]
Step-by-step explanation:
5 which is the number of tulips divide by 15 which is the total number of flowers
(I'm not sure tho)
The experimental probability that Amelie picks a tulip next is 1/3, calculated by dividing the number of tulips (5) she has already picked by the total number of flowers picked (15).
The experimental probability that the next flower Amelie picks will be a tulip is based on her past experience of picking flowers. Since she has picked 15 flowers and 5 were tulips, we divide the number of tulips by the total number of flowers picked to get the probability of picking a tulip.
To calculate this, use the formula for experimental probability: Probability = (Number of successful outcomes) / (Total number of trials). In Amelie's case, this would be 5 tulips divided by 15 flowers, giving a probability of 1/3, or approximately 0.333.
Thus, the experimental probability of picking a tulip next is 1/3.aa
The following data set shows the number of children in each household in Cam's neighborhood.
0, 0, 2, 1, 2, 8, 3, 0, 0
What is the most frequent number of children in a household in Cam's neighborhood?
Answers
Answer:
0
Step-by-step explanation:
The answer is 0. It shows up the most on the list. Also I know the awful Khan Academy brought you here.
The most frequent number of children in household is given by the mode and M = 0
What is Mode?The mode in statistics refers to a number in a set of numbers that appears the most often. Place all numbers in a given set in order; this can be from lowest to highest or highest to lowest, and then count how many times each number appears in the set. There are two types of modes
Multimodal and Bimodal
Given data ,
To find the most frequent number of children in a household in Cam's neighborhood, we can use a frequency table to count how many times each number appears in the data set:
A = 0, 0, 2, 1, 2, 8, 3, 0, 0
From the frequency table, we can see that the most frequent number of children in a household is 0, which appears 3 times in the data set.
And , the mode of the data set is M = 0
Therefore, the most frequent number of children in a household in Cam's neighborhood is 0.
Hence , the mode M = 0
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Match the vocabulary word with the correct definition.
1
equilateral triangle
A triangle in which no two sides
have the same length.
A triangle in which all angles are
2. isosceles triangle
equal.
A triangle in which all three sides
3. triangle
4. scalene triangle
have the same length.
The union of three segments
determined by three noncollinear points.
A triangle in which at least two
sides have the same length
5. equiangular triangle
Answers
Answer:
equilateral triangle is a triangle with all three sides equal
isosceles triangle is a triangle with two sides of the same length
scalene triangle is a triangle in which no 2 sides have equal lengths
equiangular triangle is a triangle in which all angles are equal
triangle is the union of three segments determined by 3 noncolinear points
Answer:
Equilateral triangle : a triangle in which all three sides have the same length
Isosceles triangle : a triangle in which at least two sides have the same length
Triangle : the union of three segments determined by three non collinear points.
Scalene triangle : a triangle in which no two sides have the same length.
Equiangular triangle : a triangle in which all angles are equal
20. Ted is comparing the temperatures of three days in January.
The temperatures on Monday and Tuesday were opposites.
The temperature on Wednesday was neither positive nor negative.
The temperature dropped below zero on Monday. Write the 3 days
in order from the highest to the lowest temperature.
Answers
Answer:
Tuesday, then Wednesday then Monday were highest to lowest.
Step-by-step explanation:
Tuesday was positive. +°
Wed was zero 0°
Mon was negative -°
5. What is the value of x?
A)15 Square root 3 B)15/2 C)5 Square root 3 D)15 Square root 2/2
Answers
Answer:
5√3
Step-by-step explanation:
what is negative 1 plus positive 8
Answers
Answer:
-9
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
You can think of the negative 1 as a subtraction. What you do is ignore the negative 1, take the 8 and then subtract 1 from it.
-1+8 to 8-1
The SAME thing!
a contractor finds that crew A takes 5 1/2 hours to construct a retaining wall and crew B can do the same job in 8 1/2 hours. if crew A and crew B work together how long will it take them to construct the retaining wall
Answers
Answer:A contractor finds that Crew A takes 5(1/2) hours to construct a retaining wall and Crew B can do the same job in 7(1/2) hours.
If Crew A and Crew B work together, how long will it take them to construct the retaining wall?
a) Let h = the time to complete the job. Write the equation you would use to solve this problem.
:
let the completed job = 1, each will do a fraction of the job which adds up to 1
h%2F5.5 + h%2F7.5 = 1
Step-by-step explanation:f means fraction 2/5.5 2/7.5
Final answer:
Together, they will complete the wall in approximately 3.34 hours (about 3 hours and 20 minutes).
Explanation:
To determine how long it will take for crew A and crew B to construct a retaining wall together, we can use the concept of rates of work. We first find the rate at which each crew can complete the job individually and then combine their rates.
Crew A takes 5.5 hours to construct the retaining wall, which means their rate of work is 1 wall per 5.5 hours or 1/5.5 walls per hour.
Crew B takes 8.5 hours, so their rate is 1 wall per 8.5 hours or 1/8.5 walls per hour.
When both crews work together, you can add their rates:
Rate of A + Rate of B = Combined Rate
1/5.5 + 1/8.5 = Combined Rate
To find the combined rate, you find a common denominator and add the fractions:
Combined Rate = (8.5 + 5.5) / (5.5 × 8.5)
Combined Rate = 14 / 46.75
The combined rate is approximately 0.2995 walls per hour. To find the total time it takes for both crews to construct the wall, you take the reciprocal of the combined rate:
Total time = 1 / Combined Rate
Total time = 1 / 0.2995
This gives us the total time of approximately 3.34 hours (or roughly 3 hours and 20 minutes) for both crews working together to construct the retaining wall.
which expression is equivalent to (x+4i)^2?
x^2+16
x^2-16
x^2+8xi + 16
x^2+8xi-16
Answers
X^2+8xi-16 yes correct mhm
You bought stocks in 2 different companies yesterday: 100 shares of stock "a" was purchased at $21.15 per share and gained 6% today; 50 shares of stock "b" was purchased at $14.23 per share and lost 1.5% today. What is your percentage gain or loss on your 2 stock portfolio?
Answers
Answer:
4.11%
Step-by-step explanation:
Gain on stock a:
(21.15 × 100) × 6/100
126.9
Loss on stock b:
(14.23 × 50) × 1.5/100
10.6725
Net gain:
126.9 - 10.6725
116.2275
Total share value:
(21.15 × 100) + (14.23 × 50)
2826.5
% gain:
116.2275/2826.5 × 100
4.112064391%
your percentage gain on your 2 stock portfolio will be 4.11%.
Given,
The per share cost of stock "a" is $21.15 .
So the total cost of 100 shares of stock "a" will be,
[tex]21.15\times100=2115[/tex] dollars.
The per share cost of stock "b" is $14.23 .
So, the total cost of 50 shares of stock "b" will be,
[tex]14.23\times50=711.5[/tex] dollars.
Total investment on both the shares will be,
[tex]2115+711.5=2826.5[/tex] dollars.
Since stock "a" gained 6% today, so total gain in stock "a" will be,
[tex]\dfrac{2115\times 6 }{100}=126.9[/tex] dollars.
Now, share "b" lost 1.5% today, so total loss in stock "b" will be,
[tex]\dfrac{711.5\times1.5}{100} =10.67[/tex] dollars.
Now, overall gain in both the shares will be,
[tex]126.9-10.67=116.22[/tex] dollars.
Percentage gain will be,
[tex]\dfrac{116.22}{2826.5} \times 100\%=4.11\%[/tex]
Hence your percentage gain is 4.11%.
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Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw $15 in tokens?
Answers
Final answer:
To calculate the probability that Bob will draw $15 in tokens, we need to calculate the probability of him drawing a $5 token from the cup (1/3) and a $10 token from his pocket (2/3) and then multiply these probabilities to get the total probability (2/9).
Explanation:
The probability that Bob will draw $15 in tokens consists of two steps: drawing from the coin cup and then drawing from his pocket. We must calculate the probability for each stage and, finally, multiply these probabilities together to get the total probability of drawing $15.
From the cup, Bob can draw either a $1 token or a $5 token. To get a total of $15, Bob would need to draw a $5 token from the cup, since the highest value in his pocket is $25 and 1+25 is greater than 15. There are two $5 tokens in the cup among six tokens in total, so the probability of drawing a $5 token is 2/6 or 1/3.
Having drawn a $5 token, he now needs to draw a $10 token from his pocket to reach the total of $15. In his pocket, he has two $10 tokens and one $25 token, making three tokens in total. The probability of drawing a $10 token is therefore 2/3.
By multiplying these probabilities, we get the total probability of drawing $15 in tokens: (1/3) * (2/3) = 2/9.
Therefore, the probability that Bob will draw $15 in tokens is 2/9.
a carpenter is building a rectangular door. What kind of angles should she use for the corners?
Answers
Answer:
They should be right angles
Step-by-step explanation:
Since it is a rectangular door, it would need right angles
The diagram shows a square.
(6x – 1 cm)
(4x + 6) cm
Find the length of the side of the square.
Answers
Answer:
3.5 cm
Step-by-step explanation:
6x -1 = 4x + 6
2x = 7
x = 3.5
Answer:
Answer:
3.5 cm
Step-by-step explanation:
6x -1 = 4x + 6
2x = 7
x = 3.5
Step-by-step explanation:
which expression is equivalent to 1/4 (2-5x+ 6)?
Answers
Answer:
Option B, -5/4x + 2
Step-by-step explanation:
Step 1: Combine like terms inside the parenthesis
[tex]1/4(2 - 5x + 6)[/tex]
[tex]1/4(8 - 5x)[/tex]
[tex](1/4 * 8) + (1/4 * -5x)[/tex]
[tex]2 - 5/4x[/tex]
Answer: Option B, -5/4x + 2
PLZZZZ HELLLLLPPPPP!!!!!!! 15 PTS!!!
Kiki has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Raj has a piece of string that is 12 as long as Kiki's third-longest piece. (Note: The problem says third-longest piece, not third-longest length.)
How long is Raj's piece of string?
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
2 3/4
Step-by-step explanation:
The length of Raj's string is 54 in long.
What is dot plot?A dot chart or dot plot is a statistical chart consisting of data points plotted on a fairly simple scale, typically using filled in circles. There are two commons, yet very different, versions of the dot chart.
Given that, Kiki has a piece of string that she cuts into smaller pieces. This line plot shows the lengths of the pieces. Raj has a piece of string that is 12 as long as Kiki's third-longest piece.
The third-longest piece = 4 1/2 in
The length of Raj's string = 4 1/2 x 12 = 9/2 x 12 = 54
Hence, the length of Raj's string is 54 in long.
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How much would you need to deposit in an account now in order to have $4000 in the account in 10 years? Assume the account earns 5.3% interest compounded weekly.
Answers
Answer:
$2355.06
Step-by-step explanation:
Use the compound interest formula, filling in the numbers you know. Then solve for the number you don't know.
A = P(1 +r/n)^(nt)
where A is the account balance, P is the amount invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
Filling in the given values, we have ...
4000 = P(1 +.053/52)^(52·10) = P(1.6984738)
P = 4000/1.6984738 ≈ 2355.06
You would need to deposit $2355.06 in order to have $4000 in 10 years.
what is 30 divided by 41
Answers
Answer:
0.73170731707
Step-by-step explanation:
Answer:
About 0.73
Step-by-step explanation:
30/41 is about 0.73
A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs. How many BTUs does 1 gallon of biodiesel yield?
Answers
Answer: 125,000 BTUs
Step-by-step explanation:
Hi, to answer this question we have to apply proportions:
A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs
So, the proportion is:
36 gallons / 4,500,000 BTUs
For 1 gallon
1 gallon / x BTUs
36/4,500,000 = 1/x
Solving for x:
x = 1 / (36/4,500,000)
x = 125,000 BTUs
Feel free to ask for more if needed or if you did not understand something.
A rectangle has a height of 2 and a width of 5x^2– 2x + 3.
Answers
Answer:
[tex]A=10x^{2} -4x+6[/tex]
Step-by-step explanation:
Givens
[tex]h=2[/tex]
[tex]w=5x^2- 2x + 3[/tex]
The area of a rectangle is defined as
[tex]A=w \times h[/tex]
Where [tex]w[/tex] is width and [tex]h[/tex] is height.
Replacing each equivalence, we have
[tex]A=2(5x^2- 2x + 3)\\A=10x^{2} -4x+6[/tex]
Therefore, the expression that represents the area of the given rectangle is
[tex]A=10x^{2} -4x+6[/tex]
3. A flock of sheep has 182 white sheep and 98 spotted sheep. Which proportion can
be used to determine p, the percent of the flock that has spots?
Answers
Answer:
b
Step-by-step explanation:
HELP!!!! Need help with this!!
Answers
Answer:
80/9
Step-by-step explanation:
The sum of the angles of a triangle is 180. This means your equation will bw:
3x+70 + 5x + x+30 = 180
Add Like Terms
9x + 100 = 180
9x = 80
x = 80/9
Simplify 8^6 divided by 8 please!! Help Fasttttt :)
Answers
Answer:
your answer is 32,768
Step-by-step explanation:
Thats 8 to the 6th power divided by 8
8^6=262,144 divide that by 8 and u get 32,768
Hope this helps
what’s the missing angle
Answers
Answer:
A) 150
Step-by-step explanation:
All the angles in a triangle must add up to a total of 180 degrees.
So we can make an equation as given below:
20+10+?=180
30+?=180
?=150
So the missing angle is 150 degrees
Answer:
150
Step-by-step explanation:
Subtract 20 and 10 to 180 because the side of a triangle(or all three sided figures) is 180 and you get 150
This table gives a few (x,y) pairs of a line in the coordinate plane.
X | Y
———-
32| 22
48| 17
64| 12
What is the y-intercept of the line?
Answers
Answer:
0,32
Step-by-step explanation:
HELP ASAP!!! A bag contains 5 red raffle tickets, 7 blue raffle tickets and 2 green raffle tickets. Jackie will randomly select a raffle ticket from the bag 3 times. She will replace it each time. What is the probability that she selects a green ticket on her first two selections and a red ticket on her third selection?
Answers
Answer:
5/168
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome.
According to the question, if the bag contains 5 red raffle tickets, 7 blue raffle tickets and 2 green raffle tickets, the total number of ticket is given as:
5+7+2 = 14tickets
The total outcome = 14.
If Jackie selects a green ticket on her first two selections, the probability of selecting a green twice from the bag and replacing it will be 2/14×2/14 = 4/48.
Note that the total number of ticket remains complete each time she selects since the ticket was always REPLACED.
If Jackie picks a red on her third selection, the probability of picking a red will be 5/14.
The probability that she selects a green ticket on her first two selections and a red ticket on her third selection will then be:
= 4/48 × 5/14
= 1/12×5/14
= 5/168
Answer:
5/686
Step-by-step explanation:
Red raffle tickets=5
Blue raffle tickets=7
Green raffle tickets= 2
Total raffle tickets=14
Three tickets were selected randomly with replacement
Probability of selecting Green tickets on her first two selections and red tickets on her third selection =propability of selecting Green raffle tickets twice and red raffle tickets once
=2/14×2/14×5/14
=1/7×1/7×5/14
=1/49×5/14
=5/686
Note: There are two green tickets and since it is selected with replacement, the total green tickets and the total raffle tickets doesn't change.