The sum of the square of the constants is 3/4
Given the equation [tex]\frac{1}{a+1} +\frac{1}{b+1} +\frac{1}{c+1} =2[/tex]
The partial form of the equation is given as:
[tex]\frac{1}{a +1} = 2\\[/tex]Solve for the constant "a"
[tex]\frac{1}{a +1} = 2\\a+1 = \frac{1}{2} \\a = \frac{1}{2} - 1\\a =-\frac{1}{2}[/tex]
Hence [tex]a=b=c=-\frac{1}{2} \\[/tex]
Taking the square of the constant, we will have:
[tex]a^2 + b^2 + c^2 =(-1/2)^2 +(-1/2)^2+(-1/2)^2\\a^2 + b^2 + c^2 =1/4 + 1/4 + 1/4\\a^2 + b^2 + c^2 =3/4[/tex]
Hence the sum of the square of the constants is 3/4
Learn more on partial fraction here: https://brainly.com/question/24594390
Answer -the sum of the square of the consonants is 3/4
I am asking how this is when I found the median is 14!
Hi there!
2 3 5 5 9 11 13 14 14 17 20 22 24 28
If we count up the numbers, we find that there are 14 numbers. This means that we must take the average of the middle two numbers to find a median since the amount of numbers is not odd.
Count 6 from both sides and we get the middle two numbers to be:
13 14
Take the average:
(13 + 14)/2 = 13.5
**This must be done if the amount of numbers given is EVEN.**
Answer:
Step-by-step explanation:
There are an even number of entries that make up the Data Set. (14 entries)
When you have an even number, you take the two entries that are at the center to find the median.
The values at the middle are entry seven which is 13 and entry eight, which is 14.
Now average these two. You get (13 + 14)/2 = 27 / 2 = 13.5
Otherwise I think you are correct.
HELP- I NEED LOTS OF HELP
Answer:
|279|
Step-by-step explanation:
so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.
Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)
(also the absolute value is the distance between the number and zero so yh u can put that)
If similar, state if it’s AA similarity, SSS or SAS similarity
Answer:
they are not similar
Step-by-step explanation:
MN/VW=16/22=8/11
LN/UW=20/28=5/7
LM/UV=25/35=5/7
there is no information about the angles, you apply SSS but in this situation not all sides are proportional
17. The sides of a rectangle are in the ratio of 5 : 4. If its perimeter is 144 cm,
then its length is
bi
a) 40 cm
b) 20 cm
c) 30 cm
d) 60 cm
What is the answer
Answer:
Option A
Step-by-step explanation:
Let,
Length = 5x
Breadth = 4x
Perimeter = 2(l + b)
=> 144 = 2(5x + 4x)
=> 144 = 2(9x)
=> 144 = 18x
=> 144/18 = x
=> 8 = x
Therefore,
Length = 5x = 5(8) = 40 cm
Define a variable for the number of cars, and define a variable for the number of vans or trucks. You will need to choose x for one and y for the other.
Answer:
See below!
Step-by-step explanation:
I don't think you included the entire question, but maybe you were just stuck on this part, so I'm happy to help!
You include variables in a math equation to give meaning to a word, phrase, or situation in a shortened way.
For example, if I say, "I run 2 miles every day. How many miles will I run in x days?", your equation should look like this:
miles=2x
Notice that the 2 is a number, because that is the one thing that we know for sure. We know, no matter what, I run 2 miles a day. However, we don't know for how many days. So, for this, we need to put something as a sort of placeholder until we are told how many days.
Variables can be any letter, from A-Z! It is reccomended to stay with letters that avoid s, and i(among others) to make sure that you are using letters that can't be mistaken as letter on accident. For example, s could look like 5. In some cases, i could look like 1.
For your question, you could use:
#of cars=x
#of trucks/vans=y
Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.
How many pints of blue paint will he use to create 40 pints of purple paint?
Answer:
24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16
Step-by-step explanation:
check attachment for question
Answer:
[tex]\displaystyle 3x^2 + x[/tex]
Explanation:
All you are doing is combining like-terms:
[tex]\displaystyle \boxed{3x^2 + x} \Rightarrow [5x + x^2 - 1] + [2x^2 - 4x + 1][/tex]
I am joyous to assist you at any time.
Kate is 11 45
years old. Karina is 1 16
years younger than Kate and Jane is 1 13
years younger than Karina. How old is Jane?
Help asap!! Full work shown gets brainliest!!
Answer:
2√6
Step-by-step explanation:
1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).
[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]2. Now, let's find the factors of 24 and see which one is a perfect square:
1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]Therefore, the answer is 2√6.
Answer:
[tex]b=2\sqrt{6}[/tex]
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a = 5 and c = 7
[tex](5)^2+b^2=(7)^2[/tex]
simplify exponents 5² = 25 and 7² = 49
[tex]25+b^2=49[/tex]
subtract 25 from both sides
[tex]b^2=24[/tex]
take the square root of both sides
[tex]b=\sqrt{24}[/tex]
simplify radical
[tex]b=2\sqrt{6}[/tex]
And we are done!
What is the measure of
Answer:
∠B = 82°Step-by-step explanation:
To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!
=> 180 - 143 = ∠A=> ∠A = 37°Since we have found ∠A, we can now find ∠B.
=> 61 + 37 + ∠B = 180=> 98 + ∠B = 180=> ∠B = 180 - 98=> ∠B = 82°Conclusion:
We have finally found out our answer and our answer is '∠B = 82°'.
[tex]GeniusUser[/tex]
PLEASE HELP!
Question 3 (Essay Worth 10 points)
(03.04 MC)The youth group is going on a trip to the state fair. The trip costs $62. Included in that price is $14 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answer:
One pass is $24
Step-by-step explanation:
14+2x=62
-14
2x=48\2
X=24
Answer: The person above's answer
Step-by-step explanation:
I did the test and it was right
Which expression is equivalent to 9 x 9 x 9 + 12 x 12 x 12?
Answer:
i think probably 2457 is answer
Please help in this!
Step-by-step explanation:
Correct option is C)
41−
21+
19−
9
=
41−
21+
19−3
=
41−
21+
16
=
41−
21+4
=
41−
25
=
41−5
=
36
=6
[tex] \sqrt{41 - \sqrt{21 + \sqrt{19 - \sqrt{9} } } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{19 - 3} } } \\ = \sqrt{41 - \sqrt{21 + \sqrt{16} } } \\ = \sqrt{41 - \sqrt{21 + 4 } } \\ = \sqrt{41 - \sqrt{25} } \\ = \sqrt{41 - 5} \\ = \sqrt{36} \\ = 6[/tex]
Answer:
a) 6
Hope you could get an idea from here.
Doubt clarification - use comment section.
Ivan is taking a 179 mile trip by car.If he drives for two hours with an average speed of 65 miles per hour, how many miles will he still need to drive to complete his trip?
Answer:
you should take notes
Step-by-step explanation:
why you should know this your teacher probally already taught you this already you should go back and take notes = )
This year 120 people signed up for team volleyball. If all the teams had the same number of players, how many people can be on a team?
Select the Hint button to view a hint.
A. 3 or 6 B. 3 or 9 C. 9 or 6 D. 3 or 6 or 9
Answer:
Hi It is A I just got it right
trust me
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
I’m very smart. My hair is dark. I love to eat honey, insects, and bark.
Answer:
the answer to the riddle is black bear
Step-by-step explanation:
hope it helps can I have brain for trying? :))) bless u have a great day/evening
Answer:
the other guy is right it's black bear bears love honey and only one bear is black and thats the black bear
Step-by-step explanation:
Solve (u+2)^2+6=69 , where u is a real number.
Answer:
5.94 and -9.94
Explanation:
Use complete the square to answer the question and then type the last line into a calculator to get 5.94 and -9.94
Identify the horizontal asymptote of f(x) =4x/7
y = 0
y = 2/3
y=1
No horizontal asymptote
Answer:
y = 1
Step-by-step explanation:
To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.
[tex]h(x) = \frac{x^n}{x^m}[/tex]
If n < m, then y = 0If n = m, y = coefficient of [tex]x^n[/tex] divided by the coefficient of [tex]x^m[/tex]If n > m, then there is no Horizontal AsymptoteSixteen is 64% of what number?
A. 12
B. 48
C. 32
D. 25
Answer:
D. 25
Step-by-step explanation:
16 divided by 64% is 25
Answer:
25
Step-by-step explanation:
Hope I helped you.
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50
Help would be appreciated!
Answer:
Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.
(I don't know how to calculate the perimeter for the second question)
Answer:
Answer: 28
Step-by-step explanation:
A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.
(w-10x) (w+10x) Use the Identities to solve this question
We are provided that –
(w-10x) (w+10x)Applying identity –
a² - b² = (a + b)(a - b)[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf(w-10x) (w+10x)[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 - (10x)^2[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf w^2 -100 x^2[/tex]
Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.
Answer:
Estimate Tip = $4.50
Step-by-step explanation:
The bill to the nearest $10 is $30.00 : ( $ 30 ($32.43) $40, it is nearer to $30
Estimate Tip = Bill rounded to the nearest $10 × Tip %
Estimate Tip = $30 × 15%
Estimate Tip = $30 × .15 (15% change to a decimal is .15)
Estimate Tip = $4.50
Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!
Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?
Using the linear function, it is found that the correct option is given by:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.Linear functions modeling a cost have the following format:
[tex]C(t) = C(0) + at[/tex]
In which:
C(0) is the flat fee.a is the cost per unit of time.In this problem, the cost for t hours of work is modeled by:
[tex]C(t) = 50 + 80t[/tex]
Which means that the correct statement is:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
An admission ticket costs $7.50 with a 5.75% tax.
Answer:
Step-by-step explanation:
Give a summary of the lesson what you have learned. about EXPONENTS!!
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Answer:
The second bag is the better deal
Step-by-step explanation:
8÷2.56= $3.13 per potato
10÷ 4.32= $2.31 per potato
100 pts. & will give brainliest! answer asap
every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y = 15 + 110x - 16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint: if the pumpkin hits the ground, its height is 0 feet)
a. the pumpkins maximum height is 204.06 feet and it hits the ground after 7.01 seconds.
b. the pumpkins maximum height is 3.44 feet and it hits the ground after 7.01 seconds.
c. the pumpkins maximum height is 204.06 feet and it hits the ground after 3.44 seconds
d. the pumpkins maximum height is 3.44 feet and it hits the ground after 204.05 seconds.
First we need to differentiate y
[tex]\\ \sf\Rrightarrow \dfrac{dy}{dx}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{d}{dx}(-16x^2-110x+15)[/tex]
[tex]\\ \sf\Rrightarrow -32x-110[/tex]
Now let it be 0
[tex]\\ \sf\Rrightarrow -32x-110=0[/tex]
[tex]\\ \sf\Rrightarrow -32x=110[/tex]
[tex]\\ \sf\Rrightarrow x=|110/-32[/tex]
[tex]\\ \sf\Rrightarrow x=3.44s[/tex]
Put it in y
[tex]\\ \sf\Rrightarrow y=15-110(3.44)-16(3.44)^2[/tex]
[tex]\\ \sf\Rrightarrow y=204.05ft[/tex]
A stock market fell 40 points each day for
three days. What was the total change in value
after the three days?
Answer: -120
Step-by-step explanation:
-40 X 3 = -120
