Answer
(1-1/2 2)= 3/4 <Exact Form> 0.75<Decimal Form>
1-(1)/(100^(2) = 9999/10000 <Exact Form> 0.9999 <Decimal Form>
Step-by-step explanation:
Hope this Helps! The Crystaline Gamerz on YT! Bye! please sub
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Explanation:
Each term multiplied out is of the form 1 - 1/(k^2) which we can write as 1^2 - (1/k)^2
Note we have something in the form a^2 - b^2 with a = 1 and b = 1/k
So
a^2 - b^2 = (a-b)(a+b)
1^2 - (1/k)^2 = (1 - 1/k)(1 + 1/k)
1^2 - (1/k)^2 = [ (k - 1)/k ] * [ (k + 1)/k ]
----------------
Let P = [ (k - 1)/k ] * [ (k + 1)/k ] represent the kth term we are dealing with
Then let Q be the term just after term P, so it's the (k+1) term
To form term Q, replace every k with k+1
Q = [ (k+1 - 1)/(k+1) ] * [ (k+1 + 1)/(k+1) ]
Q = [ k/(k+1) ] * [ (k+2)/(k+1) ]
----------------
Let's multiply P and Q to find out what happens . See figure 1 in the attached images below.
As figure 1 shows, we see that the middle terms cancel out. This will happen when we multiply P*Q*R, where R is the term just after Q. Extend this idea out as far as you want and each time the middle terms will pair up and cancel.
All that's left are the first and last terms, which are
1 - 1/2 = 1/2
and
1 + 1/100 = 101/100
They multiply to 101/200
----------------
Figure 2 (also attached as an image) shows a longer way to do the problem. Basically I expanded out a bunch of terms to multiply, and then show how we have various terms pair up and cancel, in basically the same way as explained above. What's left are the first and last terms 1/2 and 101/100 which multiply to 101/200.
plz answer asap will mark brainliest
Answer:
10 s'mores
Step-by-step explanation:
20 ÷ 2 = 10
but only if she has enough of the other ingredients too :)
Answer:
10 smore's
Step-by-step explanation:
If 2 graham crackers is required to make 1 smore
then 20 graham crackers will make 10 smore's
2 x 10 = 20
i really need this can someone help solve asap!!!
Answer: to find this answer .we need to do pegothogs property
Step-by-step explanation:
30° + 90° = 90 (because it is right angle )
120° - 90° = 30°
Plz mark me as brainlist
thank you :-)
What is the number of possible outcomes for the tree diagram below?
Answer: A. 9
Step-by-step explanation:
In the given tree diagram , there are 3 branches , to each branch there are 3 leaf nodes.
By using Fundamental counting principal ,
Number of possible outcomes for the tree diagram = (Number of branches) x (Number of leaf nodes)
[tex]=3 \times 3\\\\=9[/tex]
Hence, the number of possible outcomes for the tree diagram = 9
So, the correct option is A. 9.
The distance between two cities A and B is 400km. A car leaves from A towards B at a speed of 90kmph, at the same time another car leaves from B towards A at 110kmph.
-
a) Write the equations that give the distance as function of time.
b) Represent them graphically. V
c) Find the distance they have traveled to meet each other and the time invested.
Answer:
a. Distance = 400 - 200t
b. see attached graph
c. A travelled 180 km, B travelled 220 km, both took 2 hours.
Step-by-step explanation:
Given
distance = 400
A = 90 km/h
B = 110 km/h
A & B drive towards each other
Solutions
a) equation
Let
t = elapsed time in hours,
D(t) = distance between two drivers
D(t) = 400 - (A+B) t
D(t) = 400 - 200t ......................(1)
b. graph : for graph, see attached figure.
c. Distance and time
Time:
solve for t with the distance D(t) = 0 using equation (1)
0 = 400 - 200 t
200t = 400
t = 2 hours
distance travelled by A = 2 hours * 90 km/h = 180 km
distance travelled by B = 2 hours * 110 km/h = 220 km
From the set {20, 30, 35}, use substitution to determine which value of x makes the inequality true. x - 5 > 25 A. 30 B. 20 C. none of these D. 35
Answer:
D. 35
Step-by-step explanation:
20-5>25 = 20>25 incorrect
30-5>25 = 25>25 incorrect
35-5>25 = 20>25 correct
A square has a length of 13m, find its area A. 1699m² B. 169m² C. 196m² D. 169m² I will mark you as brainliest
Answer: 169 m²
Step-by-step explanation:
The area of a square can be found by taking a side length(13), and squaring it, to get, in this case, 139.
Hope it helps <3
Answer:
169 m²
Step-by-step explanation:
To find the area of a square, we can apply a formula.
[tex]A=s^2[/tex]
[tex]A=area[/tex]
[tex]s=side \: length[/tex]
The side length is given 13 meters.
[tex]A=13^2[/tex]
Solve for [tex]A[/tex].
[tex]A=13 \times 13[/tex]
[tex]A=169[/tex]
The area of the square is 169 meters squared.
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!) please help! i will make brainliest answer if correct!
Answer:
the expression of this function is:
[tex]f(x)=|x-1|-1[/tex]
Step-by-step explanation:
This graph corresponds to an absolute value function, which as you can see has the minimum (vertex) at the point (1, -1) on the plane, and also that goes through the origin of coordinates (0, 0)
therefore, notice that from the point (0, 0) to (1, -1) there is a slope of "-1" which is going to characterize the steepness of the x- variable that resides inside the absolute value function. since the vertex has also moved from the characteristic (0, 0) in the function:
[tex]f(x)=|x|[/tex]
then we have to include a horizontal shift to the right in one unit (by subtracting 1 units from x), and a vertical shift downwards one unit (by subtracting 1 from the full absolute value expression) in order to shift the vertex to the position (1, -1):
[tex]f(x)=|x-1|-1[/tex]
Which expressions are equivalent to (5g+3h+4)⋅2
Select all that apply:
(5g+3h)⋅8
(5g+3h)⋅6
None of the above
Answer:
The answer is
None of the above
Hope this helps you
Answer:
None of the above
Step-by-step explanation:
A rancher has 5,000 feet of fencing available to enclose a rectangular area bordering a river. He wants to separate his cows and horses by dividing the enclosure into two equal areas. If no fencing is required along the river, find the length of the center partition that will yield the maximum area.
Answer:
1,000 feet
Step-by-step explanation:
The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side. (Like the letter "E").
5,000/5=1,000
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
please hurry! I'll mark brainliest if you're fast!
To find the quotient 5/7 ÷ 1/3
multiply 7/5 by 1/3
multiply 7/5 by 3.
multiply 5/7 by 3.
multiply 5/7 by 1/3
Answer:
multiply 5/7 by 3
Step-by-step explanation:
Explain how to create a Stem-and-Leaf plot using the 6 rules. And write down what the 6 rules are.
Answer:
The 6 rules/steps are below
Step-by-step explanation:
1. determine the smallest and largest number
2. Using the largest and smallest number, make sure that your graph can fit both of those numbers
3. identify the stems/tens place
4. fill in the leaves/ones place
5. Sort them from lowest to highest
6. Check
What is the value of x?
sin 55° = COS X
Answer:
x=35°
Step-by-step explanation:
Answer:
x = 35°Step-by-step explanation:
[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]
Hope this helps you
24 ÷ [ 33- (1+2)^2] = ?
21 + 3 (2-2^2) = ?
[(14+[tex]\sqrt 4[/tex])÷2^3] - 14 = ?
20 + [18÷(4+1)] - (3^2 + 2) = ?
please simplify the expressions using the proper order of operations.
Answer:
Below in bold.
Step-by-step explanation:
24 ÷ [ 33- (1+2)^2]
= 24 / ( 33 - 3^2)
= 24 / 24 = 1.
21 + 3 (2-2^2)
= 21 + 3(2 - 4)
= 21 + 3 * -2
= 21 - 6
= 15.
[(14+√4)÷2^3] - 14
= [ (14 + 2) / 8] - 14
= 16/8 - 14
= 2 - 14
= -12.
20 + [18÷(4+1)] - (3^2 + 2)
= 20 + [18÷ 5] - (9 + 2)
= 20 + 3.6 - 11
= 23.6 - 11
= 12.6.
(20 POINTS!!!) Richie and his brother have a paper route. Together they can deliver all of the papers in 40 minutes, and Richie can do it alone in 90 minutes. Richie’s brother slept in one day, leaving Richie to deliver alone for 30 minutes. How long must the two of them work together to finish delivering the newspapers?
Simplify equation: 14 - 7y + 5 = 1 + 3y + 24
simplify again: 19 - 7y = 25 + 3y
add -25 and 7y to both sides: -6 = 10y
y = -6/10 or -0.6
2. After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3. Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40? I'm not sure about this.
TIME REMAINING
52:37
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
∠1 ≅ ∠7
∠2 ≅ ∠6
∠3 ≅ ∠5
∠5 ≅ ∠7
Answer:
b
Step-by-step explanation:
someone help please lol I’m stuck !!!!!
━━━━━━━☆☆━━━━━━━
▹ Answer
2√15
▹ Step-by-Step Explanation
[tex]\sqrt{4} * \sqrt{3} * \sqrt{5}\\\\\\2\sqrt{3} \sqrt{5} \\\\2\sqrt{15}[/tex]
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
[tex]\mathrm{A.}[/tex] 2√15
Step-by-step explanation:
√4 × √3 × √5
Apply rule √a·√b·√c= √(abc)
√(4 × 3 × 5)
√60
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The highest perfect square is 4.
One of the pair factors of 60 is 4 and 15.
60 can be written as a product of 4 and 15.
√(4 × 15)
√4 × √15
√4 = 2
2 × √15
What is the solution for x. 4/3x-1/3=9
Answer:
x=7
Step-by-step explanation:
4/3x-1/3=9
Add 1/3 on both sides
4/3x=28/3
Multiply the reciprocal
(3/4)(4/3)x=28/3(3/4)
x=7
Hope this helps !!
simplify the expression
[tex] - 3(2q + - 6) + - 2q[/tex]
Answer:
-8q +18
Step-by-step explanation:
-3 ( 2q -6) -2q
Distribute
-6q+18-2q
Combine like terms
-8q +18
WILL MARK BRAINLIEST! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box
Answer:
d.which is number of candle's in a box
Answer:
number of candies in a box
Step-by-step explanation:
NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?
Answer:
any way since the sides are the same leangth
Step-by-step explanation:
A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
this one question so plz don't think it is two
It's point A. 4 vertical units away from point M.
Answer: Point A
Step-by-step explanation:
Point M has the same x value as point A and point A is 4 units below it.
Hope it helps <3
Suppose a poll of 700 voters says that 45% of the voters will vote for Candidate A for president. Compute the 99% confidence interval
Answer: (0.4016, 0.4984).
Step-by-step explanation:
Let p be the proportion of voters will vote for Candidate A for president.
Formula for confidence interval for proportion:
[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]
, here [tex]\hat{p}[/tex]= sample proportion
n= sample size.
z* =two-tailed critical z- value.
As per given, we have
n= 700
[tex]\hat{p}[/tex] = 0.45
Critical two-tailed z-value for 99% confidence interval = 2.576
Then, the required 99% confidence interval for p would be:
[tex]0.45\pm (2.576)\sqrt{\dfrac{0.45(1-0.45)}{700}}\\\\=0.45\pm(2.576)\sqrt{0.000353571428}\\\\=0.45\pm (2.576)(0.0188035)\\\\=0.45\pm0.04844\\\\=(0.45-0.048437,\ 0.45+0.048437)\\\\=(0.401563,\ 0.498437)\approx(0.4016,\ 0.4984)[/tex]
Hence, the required confidence interval (0.4016, 0.4984).
Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition? 3 + x + 6y 3x + (6 + y) x + (3 + 6y) (3 + x) + 6y
Answer:
x + (3 + 6y)
Step-by-step explanation:
This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.
Hope this helps!
If the variance of a variable is 16, what is the standard deviation?
Answer:
Standard deviation=4
Step-by-step explanation:
Standard deviation = square root of variance
Standard deviation=√variance
Variance=standard deviation square
Variance=standard deviation^2
From the question
Variance=16
Standard deviation=?
Standard deviation=√variance
=√16
=4
Standard deviation=4
check:
If standard deviation=4
Variance=standard deviation^2
=4^2
=16
Therefore,
Standard deviation=√variance
[tex]4[/tex]
VarianceThe variance is a measure of how much each point deviates from the mean on average.The standard deviation of a set of numbers is the distance between them and the mean. (The mean is the arithmetic average of a given group of integers.)To compute the standard deviation, take the square root of the variance.Variance of the variable [tex]=16[/tex]
Standard deviation [tex]=\sqrt{16}[/tex]
[tex]=\boldsymbol{4}[/tex]
Find out more information about the variance here:
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solve by factoring x^2+5x-14=0
Answer: {-7, 2}
Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.
Notice that the left side of the equation is a trinomial in a special
form that can be factored as he product of two binomials.
As our first term for each binomial, we have the factors of x², x · x
and as the second term, we have the factors of -14 that add to 5.
In this case, the factors are +7 and -2.
So we have (x + 7)(x - 2) = 0.
If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.
Solving for x in each equation, we have x = -7 or x = 2.
We can write our answer as the solution set {-7, 2}.
The solution of quadratic equation is,
⇒ x = - 7, 2
We have to given that,
An equation is,
⇒ x² + 5x - 14 = 0
We can factorized the above quadratic equation as,
⇒ x² + 5x - 14 = 0
⇒ x² + (7 - 2)x - 14 = 0
⇒ x² + 7x - 2x - 14 = 0
⇒ x (x + 7) - 2 (x + 7) = 0
⇒ (x + 7) (x - 2) = 0
This gives,
x + 7 = 0
x = - 7
x - 2 = 0
x = 2
Therefore, The solution of quadratic equation is,
⇒ x = - 7, 2
Learn more about the quadratic equation visit:
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For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7
Answer:
a) 6
Step-by-step explanation:
Expanding the polynomial using the formula:
[tex]$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k $[/tex]
Also
[tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]
I think you mean [tex]210x^6y^4[/tex]
We can deduce that this term will be located somewhere in the middle. So I will calculate [tex]k= 5; k=6 \text{ and } k =7[/tex].
For [tex]k=5[/tex]
[tex]$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$[/tex]
Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just [tex]x^{n-k} y^k[/tex]
For [tex]k=6[/tex]
[tex]$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$[/tex]
Find the measure of b.
The lines around the angle is saying that they are corresponding. so the angle of b is 25
Answer:
[tex]\boxed{<b = 25}[/tex]
Step-by-step explanation:
Two angles in the same sector/segment have congruent measures.
So, <b = 25 (These are the two angles in the same segment).
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find the equation of straight line passing through (1,-1) and (3,-5) pls help im in online class and i have to answer pls helllllllllllppppppppppppppp
Answer:
Equation y = -2x -3
Step-by-step explanation:
(1,-1) (3,-5)
Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2
y = mx + K
-1 = -2(1) + k
-1 = -2 + k
k = 1
Equation y = -2x+1
Answer:
Step-by-step explanation:
slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2
y-y1=m(x-x1)
y-(-1)=-2(x-1)
y+1=-2(x-1)
y+1=-2x+2
y=-2x+2-1
y=-2x+1