Answer:
Sₙ = √5/2 n (n + 1)
Step-by-step explanation:
Given AP:
√5,√20,√45,√80,...Rewriting as:
√5,√4*5,√9*5,√16*5,...√5, 2√5, 3√5, 4√5,..., n√5Common difference:
d= 2√5 - √5 = √5Sum of n terms:
Sₙ = 1/2n (a₁ + aₙ) =1/2n (√5 + √5 + (n-1)√5) =1/2n (n + 1)√5=√5/2 n (n + 1)Sₙ = √5/2 n (n + 1)
A coin is flipped 25 times and lands on heads 16 times. Based on the experimental probability, how many heads would you predict for 200 flips of the coin?
Answer:
128 heads.
Step-by-step explanation:
From the experiment the probability = 16/25.
So the number of heads expected is (16/25) * 200
= 16 * 8
= 128.
Answer:
128 heads is the answer
Step-by-step explanation:
16/25=.64
.64*200=128
I would predict that it would land on heads 128 times if you flipped the coin 200 times.
what is the greatest common fact of 9 and 22
Answer:
1
Step-by-step explanation:
the greatest common factor of 9 and 22 is 1.
-x/3 >5 the sign is supposed to be greater than or equal to but I don’t have that option
Answer:
x ≤ -15
Step-by-step explanation:
-x / 3 ≥ 5
multiply by 3
-x ≥ 15
add x to both sides and subtract 15 from both sides
-15 ≥ x or x ≤ -15
Elena plans to ride her bicycle 5 miles to a park and then ride several times around a loop in a the park that is 3 miles long. Then she'll take the same way home. she wants to ride a total of 22 miles. The inequality 3t + 10 ≥ 22 models this situation, where t is the number of times Elena went around the loop. Solve the inequality. How many times does Elena need to go around the loop?
Answer:
Solution : 4 or more times
Step-by-step explanation:
As the inequality is given to us, it makes this a bit simpler.
3t + 10 ≥ 22 ( Subtract 10 on either side )
3t ≥ 12 ( Divide 3 on either side )
t ≥ 12 / 3 ≥ 4
And hence we have a solution of t ≥ 4. Elena will ride around the loop 4 or more times.
3. Which of the following quadratic equations has no solution? A) 0 = −2(x − 5)2 + 3 B) 0 = −2(x − 5)(x + 3) C) 0 = 2(x − 5)2 + 3 D) 0 = 2(x + 5)(x + 3)
Answer:
D) 0 = 2(x + 5)(x + 3)
Step-by-step explanation:
Which of the following quadratic equations has no solution?
We have to solve the Quadratic equation for all the options in other to get a positive value as a solution for x.
A) 0 = −2(x − 5)2 + 3
0 = -2(x - 5) × 5
0 = (-2x + 10) × 5
0 = -10x + 50
10x = 50
x = 50/10
x = 5
Option A has a solution of 5
B) 0 = −2(x − 5)(x + 3)
Take each of the factors and equate them to zero
-2 = 0
= 0
x - 5 = 0
x = 5
x + 3 = 0
x = -3
Option B has a solution by one of its factors as a positive value of 5
C) 0 = 2(x − 5)2 + 3
0 = 2(x - 5) × 5
0 = (2x -10) × 5
0 = 10x -50
-10x = -50
x = -50/-10
x = 5
Option C has a solution of 5
D) 0 = 2(x + 5)(x + 3)
Take each of the factors and equate to zero
0 = 2
= 0
x + 5 = 0
x = -5
x + 3 = 0
x = -3
For option D, all the values of x are 0, or negative values of -5 and -3.
Therefore the Quadratic Equation for option D has no solution.
The given function k is a composition of two functions m
and n so that k(x) = (
mn)(x).
If n(x) = 4x - 7, m(x) must be equal to which
expression?
k(x) =
VAX-7
O z&x
2
Ο Ο Ο Ο
룺
Done
Helpppppo
Answer:2/4 √x (2 over 4 square root x)
Step-by-step explanation:
Answer:
Answer is D if your using edgenity.
Step-by-step explanation:
The answers are never mixed up, so it will always be the last one.
For what value or values of b is it true that |b| = -b
Answer:
b =0
Step-by-step explanation:
The only value where |b| = -b is when b=0
|0| = -0
0 = 0
Absolute value means non- negative
non-negative = negative
This is only true when we equal zero
Answer: b = 0 or anything negative (like b = -2)
So any value of b such that [tex]b \le 0[/tex]
==================================================
Explanation:
|b| is the distance from b on the number line to 0
The distance is never negative as negative distance does not make sense.
If b was some positive number, then |b| = b. For instance, |7| = 7. This shows 7 is seven units away from 0 on the number line.
----------
If b is negative or zero, then |b| = -b. Why? Because the result of |b| is the opposite of whatever negative b value you put in. For example, b = -2 leads to
|b| = |-2| = 2
while
-b = -(b) = -(-2) = 2
The two negatives cancel each other out to get a positive result.
This shows, |-2| = -(-2) = 2
Meaning that the location -2 is two units away from 0 on the number line.
p=x2-y2÷x2+xy
p equals to x square minus y Square divided by x square + X Y
Answer:
x2-y2?x2+xy=x-y/x
Step-by-step explanation:
as we know , x2-y2=(x+y)(x-y)
and in case of the denominator take x as a common one then we will get
(x+y)(x-y)/x(x+y)
=x-y/x its the answer
thank u
If f(x) = 4x + 1, find f(3).
Replace x with 3. Then simplify
f(x) = 4x+1
f(3) = 4(3)+1
f(3) = 12+1
f(3) = 13
Answer:13
Step-by-step explanation:
You place 3 in place of x then multiply 4 and 3. You would get 12. Then you add 1. Which is 13.
What's the expression with addition for -7-(-10)?
Answer:
3 is your answer
Step-by-step explanation:
-7-(-10)= 3
Answer:
[tex]\Huge \boxed{3}[/tex]
Step-by-step explanation:
-7-(-10)
Distribute the negative sign.
-7+10
Add the numbers.
3
One book has 84 pages. Another book has 210 pages. Which is the greatest common
factor of the number of pages in the two books?
Answer: 12 is the greatest common factor.
Step-by-step explanation:
Answer:
The answer is 14
Step-by-step explanation:
Find X and HM, M is the midpoint of HQ
Answer:
Step-by-step explanation:
4x + 2 = x + 11
3x + 2 = 11
3x = 9
x = 3
4(3)+2= 12+2 = 14
3+11= 14
14+14= 28=HQ
Simplify. Write your answer as an integer 27 2/3
Answer:
83/3 is ur answer .......
[tex]if \: y = x {e}^{ {x}^{2} } [/tex]
[tex]prove \: that \: \frac{ {d}^{2} y}{ {dx}^{2} } - 2x \frac{dy}{dx} - 4y = 0[/tex]
Good Luck for 50 points!
Answer:
Hope it helps!
please mark me brainliest
7n + 8 + 1= -19
How do you solve this
Answer:
-4
Step-by-step explanation:
firt you add a minus one on both sides:
7n + 8 + 1 + (- 1) = -19 + (- 1) => 7n + 8 = -20
then add a minus eight on both sides:
7n + 8 + (- 8) = -20 + (- 8) => 7n = -28
finally in order to find (n) , devide both sides by seven:
7n ÷ 7 = (- 28) ÷ 7 => [ n = -4 ]
Which point could represent 5/3 ?
Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
Based on the number line provided for this exercise (see attachment), a point which could represent 5/3 is given by C:
1 < C < 2
Read more on number line here: brainly.com/question/24644930
#SPJ1
Find LCM of
[tex]p {}^{2} - pq \: and \: pq \: - q {}^{2}[/tex]
Answer: LCM = pq(p - q) = p²q - pq²
Step-by-step explanation:
p² - pq pq - q²
∧ ∧
p (p - q) q (p - q)
p² - pq: p · (p - q)
pq - q²: q · (p - q)
GCF: (p - q)
LCM: p · q · (p - q)
-12x - 60 = 144. Find the value of x.
Answer: x = - 17
Step-by-step explanation:
−12x−60=144
add 60 to both sides
-12x-60+60=144+60
simplify
-12x=204
divide both sides by -12
-12/-12 = 204/-12
simplify and ur Answer!! is x=-17
If a sample is selected from a population, the sample mean is essentially guaranteed to be different from the population mean. In general, the naturally occurring difference between a sample statistic and the corresponding population parameter is called ____.
Answer:
Sampling Error
Step-by-step explanation:
We are told that the phenomenon is the naturally occurring difference between a sample statistic and the corresponding population parameter.
Now, it's sampling error because sampling error is simply defined as a deviation or difference in a sampled value as against the true population value due to the fact the sample is not a true representative of the population.
This is also similar to the definition given in the question.
Thus, it's sampling error!
The equation x2+y2−16x+6y+73=100 can be rewritten as [g(x)]2+(y+3)2=100.Write an expression for g(x).
Answer: g(x) = (x - 8)
Step-by-step explanation:
We start with the equation:
x^2 + y^2 - 16*x + 6*y + 73 = 100.
And we want to write this as:
g(x)^2 + (y + 3)^2 = 100.
So both equations are equal, then we can write this as:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + (y + 3)^2
First we can expand the right side:
g(x)^2 + (y + 3)^2 = g(x)^2 + y^2 + 2*3*y + 9
Then we have:
x^2 + y^2 - 16*x + 6*y + 73 = g(x)^2 + y^2 + 6*y + 9
Now we can cancel the equal terms in each side, like y^2 and 6*y
x^2 - 16*x + 73 = g(x)^2 + 9
Now let's subtract 9 in each side:
x^2 - 16*x + 73 - 9 = g(x)^2
x^2 - 16*x + 64 = g(x)^2
Then we can assume that g(x) = (x - a)
then:
x^2 - 16*x + 64 = (x - a)^2 = x^2 - 2*a*x + a^2
-16*x + 64 = -2*a*x + a^2
now we must find the value of a, we have two equations:
-2*a = -16
a^2 = 64
and each equation yields to:
a = -16/-12 = 8.
a = √64 = 8
Then we have: g(x) = (x - 8)
Completing the squares, it is found that: [tex]g(x) = x - 8[/tex]
--------------------------------
The expression given is:
[tex]x^2 + y^2 - 16x + 6y + 73 = 100[/tex]
To complete the squares:
First, each first order term(-16 and 6) are divided by 2.Then, we write as the square of (x - 8) and (x + 3).Then, we have to find the squares on the other side of the equality.--------------------------------
Doing these steps:
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 8^2 + 3^2[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100 - 73 + 64 + 9[/tex]
[tex](x - 8)^2 + (y + 3)^2 = 100[/tex]
Which means that:
[tex]g(x) = x - 8[/tex]
A similar problem is given at https://brainly.com/question/16269892
f(x)=15+x ; x=7 evaluating functions
Answer:
22
Step-by-step explanation:
[tex]f(x)15+x\\\\f(7)15+7\\\\\boxed{f(7)=22}[/tex]
Hope this helps.
What is the mean of the data set?
61, 38, 40, 53
Answer:
48
Step-by-step explanation:
You are solving for the mean of the data set. To do so, add all the numbers together, and divide by the amount of numbers in the set.
Note that there are 4 numbers given to you: 38, 40 , 53, 61.
First, add the 4 numbers together:
38 + 40 + 53 + 61 = 192
Next, divide 4 from the total gotten:
192/4 = 48
48 is the mean of the data set.
~
Answer:
48Step-by-step explanation:
[tex]Mean = \frac{Total \: value}{no \:of \:given \:data} \\\\=\frac{61+ 38+ 40+ 53}{4}\\\\=\frac{192}{4} \\\\= 48[/tex]
Asphere has a diameter of 10 in. What is the volume of the sphere?
Answer:[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]
Step-by-step explanation: diameter=10 in
radius=[tex]\frac{diameter}{2}[/tex]=[tex]\frac{10}{2}[/tex]=5 in
volume=[tex]\frac{4}{3}[/tex][tex]r^{3}[/tex]
=[tex]\frac{4}{3} X 5^{3}[/tex] x π =[tex]\frac{500}{3}[/tex]π [tex]in^{3}[/tex]
Quick help please 10 points Multiply (-4)(-2)(-5) A -40 B -8 C 8 D 40
Answer:
A -40
Step-by-step explanation:
Answer:
the correct answer is D. 40
GUYS PLEASE HELP ME ASAP!!!Jason is saving up to buy a new phone that costs $490 (I wish they were still this cheap). So far, he's saved $175. He would like to buy the camera no later than 3 weeks from now. What is the inequality used to represent how much he must save every week to have enough money to purchase the camera? (hint: when the wording is tricky, as it is in this problem, solve the problem as if it were an equation. That is to say, as if Jason was trying to save the money in exactly 3 weeks. Then decide on the sign that makes most sense).
Answer:
175-3x=490
Step-by-step explanation:
he only has 3 weeks, which is a time limit, so it would be -3x instead of +3x, he only has 175, so he needs more, so it's positive. Hope this is correct (:
Answer:
I believe the answer is $105
Step-by-step explanation:
Well you have the price of the phone which is $490 and you also have saved $175 towards the new phone.
I used substraction $175 from $490 leaves $315.
Then i divided $315 by 3 weeks and got $105 .
You work at a flower shop designing bouquets. You need to create bouquets of roses and calla lilies for a wedding. Calla lilies cost you $2.40 each and roses cost $1.90 each. If you need 64 of each type of flower, how much money do you need to spend to make the bouquets?
The total money needed $ 275.2
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Calla lilies cost you $2.40.
roses cost $1.90.
If we need 65 lilies then it will cost
=64 * 2.40
= $153.60
and, If we need 65 roses then it will cost
=64 * 1.90
= $121.60
So, the total money needed
=153.6 + 121.6
=$ 275.2
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ2
Point C lies on BD, If BC = 52.39 mm and
CD = 21.83 mm, what is the length of BD?
37.11 mm
15.28 mm
B) 30.56 mm
74.22 mm
The length of the straight line → BD is 74.22 mm.
What is a line segment?A line segment is a piece or part of a line having two endpoints. Unlike a line, a line segment has a definite length.
Given is a line BD such that point C lies on BD. Also, BC = 52.39 mm and
CD = 21.83 mm.
We can say that for a straight line -
BD = BC + CD
The given measurements are -
BC = 52.39 mm
CD = 21.83 mm
Substituting the values, we get -
BD = 52.39 + 21.83
BD = 74.22 mm
Therefore, the length of the straight line → BD is 74.22 mm.
To solve more questions on Line segments, visit the link below-
https://brainly.com/question/28245289
#SPJ2
In a jar there are red jelly beans and green jelly beans. In how many ways can you pick red jelly beans and the same number of green jelly beans?
Complete Question:
In a jar there are 19 red jelly beans and 10 green jelly beans. In how many ways can you pick 4 red jelly beans and the same number of green jelly beans?
Answer:
[tex]Both = 813960[/tex]
Step-by-step explanation:
Given
Red Jelly Beans = 19
Green = 10
Required
Select 4 out of 19 red jelly beans and 4 out of 10 green jelly beans
The keyword in the question is pick and this implies combination;
4 from 19 red jelly beans is calculated as follows
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
Where n = 19 and r = 4
[tex]^{19}C_4 = \frac{19!}{(19-4)!4!}[/tex]
[tex]^{19}C_4 = \frac{19!}{15!4!}[/tex]
[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16 * 15!}{15! * 4 * 3 * 2 * 1}[/tex]
[tex]^{19}C_4 = \frac{19 * 18 * 17 * 16}{4 * 3 * 2 * 1}[/tex]
[tex]^{19}C_4 = \frac{93024}{24}[/tex]
[tex]^{19}C_4 = 3876[/tex]
Similarly;
4 from 10 green jelly beans is calculated as follows
[tex]^{10}C_4 = \frac{10!}{(10-4)!4!}[/tex]
[tex]^{10}C_4 = \frac{10!}{6!4!}[/tex]
[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 * 6!}{6! * 4 * 3 * 2 * 1}[/tex]
[tex]^{10}C_4 = \frac{10 * 9 * 8 * 7 }{4 * 3 * 2 * 1}[/tex]
[tex]^{10}C_4 = \frac{5040}{24}[/tex]
[tex]^{10}C_4 = 210[/tex]
Ways of selecting both is calculated as follows
[tex]Both = 3876 * 210[/tex]
[tex]Both = 813960[/tex]
how do i know this is a rhombus
Answer: It's not a rhombus
It would be a rhombus if all four sides were the same length, but we don't have that. Side DE is longer than EF, because the opposite angles are larger. We have 75 > 72, so that's why DE > EF.
How do I write the following expression on my computer?
Answer:
YOU HAVE TO WRITE YOUR QUESTION ON COMPUTER AS ,
Step-by-step explanation:
4/(2*x-3)
I hope it will work