Answer:
Because they are often used to analyze survey results.
Step-by-step explanation:
Answer:
It shows what percent of data points fit in each category
Question:-
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
Prove That:
[tex]\begin{gathered}\sf \dashrightarrow \ \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1} = 1\\ \end{gathered}[/tex]
Spammer Go Away
Step-by-step explanation:
[tex]\large \rm \red{\widetilde{Taking\ RHS:-}}[/tex]
[tex]\rm :\longmapsto \dfrac{1}{3 + \sqrt{7}} \ + \ \dfrac{1}{\sqrt{7} + \sqrt{5}} \ + \ \dfrac{1}{\sqrt{5} + \sqrt{3}} \ + \ \dfrac{1}{\sqrt{3} + 1}[/tex]
Rationalizing, we get
[tex]\rm :\longmapsto \dfrac{1}{3+\sqrt7} \times \dfrac{3-\sqrt7}{3-\sqrt7} + \dfrac{1}{\sqrt7 + \sqrt5} \times \dfrac{\sqrt7 - \sqrt5}{\sqrt7 - \sqrt5}[/tex]
[tex]\rm + \dfrac{1}{\sqrt5 + \sqrt3} \times \dfrac{\sqrt5 - \sqrt3}{\sqrt5-\sqrt3} + \dfrac{1}{\sqrt3 + 1} \times \dfrac{\sqrt3 - 1}{\sqrt3 -1}[/tex]
[tex]\rm :\longmapsto \dfrac{3 - \sqrt7}{(3)^2 - (\sqrt7)^2}[/tex]
[tex] + \dfrac{\sqrt7 - \sqrt5}{(\sqrt7)^2 - (\sqrt5)^2} [/tex]
[tex]+\dfrac{\sqrt5 - \sqrt3}{(\sqrt5)^2 - (\sqrt3)^2} +[/tex]
[tex]\dfrac{\sqrt3-1}{(\sqrt3)^2 - 1^2}[/tex]
Given info:- Rationalisie the denominator of the following 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1) = 1, also show that Left hand side is equal to Right hand side that means LHS = RHS.
Explanation:-
On rationalising the denominator, we get
First term: 1/(3+√7)
⇛{1/(3+√7)}×{(3-√7)/(3-√7)}
⇛{1(3-√7)}/{(3+√7)(3-√7)}
⇛(3-√7)/{(3)²-(√7)²}
⇛(3-√7)/{(3*3)-(√7*7)}
⇛(3-√7)/(9 - 7)
⇛(3-√7)/2
Second term: 1/(√7+√5)
⇛{1/√7+√5)}×{(√7-√5)/(√7-√5)}
⇛{1(√7-√5)}/{(√7+√5)(√7-√5)}
⇛(√7-√5)/{(√7)²-(√5)²}
⇛(√7-√5)/{(√7*7)-(√5*5)}
⇛(√7-√5)/(7-5)
⇛(√7-√5)/2
Third term: 1/(√5+√3)
⇛{1/(√5+√3)}×{(√5-√3)/(√5-√3)}
⇛{1(√5-√3)}/{(√5+√3)(√5-√3)}
⇛(√5-√3}/{(5)²-(√3)²}
⇛(√5-√3)/{(√5*5)-(√3*3)}
⇛(√5-√3)/(5-3)
⇛(√5-√3)/2
Fourth term: 1/(√3+1)
⇛{1/(√3+1)}×{(√3-1)/(√3-1)}
⇛{1(√3-1)}/{(√3+1)(√3-1)}
⇛(√3-1)/{(√3)²-(1)²}
⇛(√3-1)/{(√3*3)-(1*1)}
⇛(√3-1)/3-1
⇛(√3-1)/2
Hence, LHS = 1/(3+√7) + 1/(√7+√5) + 1/(√5+√3) + 1/(√3+1)
Now, Substitute their rationalised value in expression, we get
= (3-√7)/2 + (√7-√5)/2 + (√5-√3)/2 + (√3-1)/2
Take the LCM of all the denominator 2,2,2 and 2 is "2".
= (3-√7+√7-√5+√5-√3+√3-1)/2
= (3-1)/2
= 2/2
= 1
= RHS proved.
Hope this may help you.
If you have any doubt, then you can ask me in the comments.
Write the equation of a line that is parallel to y=9 and that passes through the point (3,−8).
Answer:
y=-8
its right give brain
Convert 4325 to base 20.
Answer:
216.1.4 is 4325÷20 so yup that's what I think
The result of converting 4325 to base 20 is 5
What are the digits of basses?When you see a number on a line in Bass TAB, it means you should play a specific note on that string. The fret numbers on a string are represented by the numbers on Bass TAB. The fifth fret on your bass is represented by the number 5. If you play a standard bass guitar, you will notice that it only has four strings. E, A, D, G is the standard tuning for a four-string bass (the same as the four lowest strings on the guitar but one octave lower). Fourths are used to tune the bass strings. A 4-string will probably suffice for most styles.Therefore,
Converting 4325 to base 20.
4 × 20³ = 32,000
3 × 20² = 1,200
2 × [tex]20^{1}[/tex] = 40
5 × [tex]$20^{0}[/tex] = 5
Adding all to get Ans = [tex]$4325_{20}[/tex]
Hence, The result of converting 4325 to base 20 is 5
To learn more about digits of basses, refer to
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The probability that Renee is on time for a given class is 29 percent. If there are 79 classes during the semester, what is the best estimate of the number of times out of 79 that Renee is on time to class? Round your answer to the nearest integer.
Answer:
9
Step-by-step explanation:
Answer:23
Step-by-step explanation:0.29 times 79 since 0.29 equals 22.91 we can estimate that renee will be on time to class about 23 times out of 79
Having problems with this question help needed
Answer:
-3 is not a solution
Step-by-step explanation:
Subtstitute the possible solution into the equation and see if it is true
3x -5 = 4+2x
3(-3) -5 = 4+2(-3)
-9-5 = 4-6
-14 = -2
This is not true so -3 is not a solution
Answer:
NoStep-by-step explanation:
We will substitute 3 for the value of x in the equation.
[tex]{ \longrightarrow \sf \qquad 3x-5=4+2x }[/tex]
[tex]{ \longrightarrow \sf \qquad 3( - 3)-5=4+2( - 3) }[/tex]
[tex]{ \longrightarrow \sf \qquad - 9-5=4+( - 6) }[/tex]
[tex]{ \longrightarrow \sf \qquad -14=4 - 6}[/tex]
[tex]{ \longrightarrow \sf \qquad -14= - 2}[/tex]
We can see that,
[tex]{ \longrightarrow \sf \qquad L.H.S ≠ R.H.S}[/tex]
Therefore,
[tex]{ \longrightarrow \sf \qquad 3 \: is \: not \: a \: solution \:of \: equation \: ( 3x-5=4+2x) }[/tex]
In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the slope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?
The line is positive because it is going upwards. The y-intercept is positive 3. It can be found by seeing where the line intercepts the y-axis. The slope of the line is 2 and it can be found by using "rise over run."
(I saw the image on another question you had asked. Have a nice day!)
DIRECTION: Create your own mathematical world problem that involves division of fraction. you base your problem from the given data or facts. then show your solution
Ana work in the office 2 1/2 hours in 1/5 day
need help plss
determine the inverse k(k)=(x-2)(x-2)
Which expression is the factorization of x2 + 10x + 21?
(x + 3)(x + 7)
(x + 4)(x + 6)
(x + 6)(x + 15)
(x + 7)(x + 14)
Factorisation of x² + 10x + 21
x² + 10x + 21Here, let's first multiply the extreme values,i.e. 1*21 = 21. So, we need to get such a number that adds 21 and as we can see that 10x is the middle value of this sum. Hence, 7 and 3 is suitable as while adding it makes 10 and multiplying we get 21
x² + (7 + 3)x + 21 x² + 7x + 3x + 21Now, lets segregate it into two groups. 1st group is x² + 7x and the other pair is 3x + 21 after which lets factorise them
x(x + 7) + 3(x + 7) (x + 3)(x + 7)So, we get the first option as correct which is (x + 3)(x + 7)
Jenna is training for a triathlon and wants to eat a diet with the ratio of carbohydrates to protein to fat that is 4:3:2 what percent of her diet is protein
Answer:
Step-by-step explanation:
Brian has a rope that is 8 meters long. He cuts away a piece that is 2.33 meters long. How long is the remaining piece of rope?
Answer:
5.67m
Step-by-step explanation:
8.00m - 2.33m = 5.67m
What is the perimeter of a
square with a side length
of 7.3 cm?
Answer:
29.2cm²
Step-by-step explanation:
The perimeter of a square equals 4a; i.e 4 multiplied by the length of one side.
4×7.3=29.2cm²
Just a cheerful teen willing to help,
hope you find this useful...
helppppppp please!!!!!!!!!!!!!
Answer:
9m by 40m : yes
10m by 36m : yes
12m by 60m : no
15m by 30m : no
18m by 25m : no
Step-by-step explanation:
Essentially this question is asking us which dimensions of the rectangles would form a park that has the same area as the triangular park.
So the first step is to calculate the area of the triangular park.
The area of a triangle can be calculated using the formula, A = (bh)/2
where b = base length and h = height.
We are given the dimensions of the triangle and it appears that the height of the park is 20m while the base length is 36m
So we have A = (bh)/2
we know that b = 36 and h = 20
So area of triangular park = (36 * 20)/2
36 * 20 = 720
720 / 2 = 360
So the area of the triangular park is 360m²
Now we want to find which dimensions of a rectangle would create a park that has the same area of the triangular park, more specifically an area of 360m²
(Note that area of a rectangle is simply length times width )
The first rectangle dimensions are 40m by 9m. These dimensions would create a park with an area of 40 * 9 = 360m². This is the same as the triangular park so the answer would be yes for this one.
The second rectangle dimensions are 10m by 36m These dimensions would create a park with an area of 36 * 10 = 360m², which is also the same as the area of the triangular park meaning the answer for this one is also yes.
The third rectangle dimensions are 12m by 60m. These dimensions would create a park with an area of 60 * 12 = 720m². this is not the same as the area of the triangular park so the answer is no for this one.
The forth rectangle dimensions are 15m by 30m. These dimensions would create a park with an area of 30 * 15 = 450m², which is also not the same as the area of the triangular park meaning that the answer for this one is no.
Finally, the last rectangle dimensions are 18m by 25m. These dimensions would create a park with an area of 18 * 25 = 450m². These dimensions would also not create a park with the same area as the triangular park therefore the answer to this one is also no.
Help me plz we’ll mark brainliest ONLY if u are correct L
Answer:
16/24+21/24
Step-by-step explanation:
Hope it helped!!
Answer: turtles
Step-by-step explanation:
Find the volume of each shape. Round your answer to two decimal places.
Answer:
v = 260
Step-by-step explanation:
You have to multiply all the values given together (13 x 3 x 20) and then divide that by 3.
Several employees have submitted different methods of assembling a subassembly. Sample data for each method are:
The Number of treatments in the experiment described the number of independent variables in the experiment, hence, the number of treatment is 4.
The number of treatment as seen in the table given include ; Carl's method, Lind's method, Szabo's method and Manley's method. These methods are the different treatment applied on the group of subjects in the experiment.Therefore, the number of treatment in the experiment is 4.
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HELPPPP!! i will mail you a cookie if you do
Answer:
x=-3 and y=10 are not functions, and 3x+2x=3 is
Step-by-step explanation:
Correct me if i'm wrong
To serve 1 person at a local resturant, it takes 10 minutes. To serve 5 people it taes 18 minutes. Write and solve an equation to find the number of mintuess it will take to serve a party of 8
Answer:
24 MINUTES!
Step-by-step explanation:
(1, 10) (5,18)
x=people y=minutes
y=2(8)+8
y=2x+8=
24 minutes
ENJOY :D
(think its possible to get brainlist? :) )
Answer:
the answer is 24 minutes.
Step-by-step explanation:
y= 2(8)+8
y=2x+8=24 minutes
If Will buys 1 kilogram of African rice and 2 kilograms of basmati rice, how much will he spend? brown rice $3.03/kg $3.59/kg sticky rice African rice $1.69/kg Bhutanese red rice white rice $3.42/kg $3.26/kg $3.05/kg basmati rice
Answer:
Step-by-step explanation:
Sorry, because of lack of punctuation and organization, I cannot determine with any confidence the price per kilo of each of the rices.
He will spend the price of one kg of African rice plus twice the price of Basmati rice.
IF
African rice = $1.69/kg
and
Basmati rice = $3.05/kg
THEN
Cost = 1.69 + 2(3.05) = $7.79
What is the median of the following set of numbers? 1/12, 5/12, 1/2, 1/6, 1/2, 3/4, 2/3
Answer:
2/3
Step-by-step explanation:
Because Im always right duhhh
Find the Surface Area of the cylinder
Answer:
the answer is D according to my scorrs
F(x)=x^2. What is g(x)?
Answer:
D
Step-by-step explanation:
Ordenered pairs g(x):
(0,0); (2,2); (- 2,2)
g(x) = ax² + bx + c
(0,0)
a.0² + b.0 + c = 0
c = 0
(2,2)
a.2² + b.2 + c = 2
4a + 2b = 2
(- 2,2)
a.(- 2)² + b.(- 2) + c = 2
4a - 2b = 2
4a + 2b = 4a - 2b
2b + 2b = 0
4b = 0
b = 0
4a + 2b = 2
4a = 2
a = 2/4
a = 1/2
g(x) = 1/2x² + 0x + 0
g(x) = 1/2x²
I hope I've helped you.
Please help me I will mark as the BRAINLIEST
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
Answer:
a) 3^2×3^2
=3^(2+2)
=3^4
b)7×7^4
=7^(1+4)
=7^5
c)10^9÷10^7
=10^(9-7)
=10^2
d)5^8÷5
=5^(8-1)
=5^7
This model represents a fraction
Answer:
yes
Step-by-step explanation:
Perform the indicated operation 1 1/3 · 3 3/4
1 1/3 * 3 3/4
4/3*3*3/4
3
hope this helps!
If your Science class eats 168 slices of
pizza in 4 hours, how many slices is
that per hour?
Answer:
42 slices per hour
Step-by-step explanation:
Answer: 42 slices per hour
Step-by-step explanation: 168 divided by 4= 42
Or 42x4= 168
In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 15 trucks tested, find the probability that a) from 3 to 6 have blowouts;
HELPPPPP
6. Raymond purchases concert tickets online
for $43.50. There is a 3% processing fee.
What is the total cost of the tickets? Round
to the nearest cent. (Example 3)
Answer:
$44.81
Step-by-step explanation:
Multiplying $43.50 by 1 yields the base price of the ticket (price of one ticket).
Multiplying $43.50 by 0.03 yields the tax on this amount.
Multiplying $43.50 by (1 + 0.03) yields the total unit cost of the tickets:
(1.03)($43.50) = $44.81 (which has been rounded up to the nearest cent)
Let C be the curve parametrized by c(t) = (t, t^2/2) for 0 <=t<=1.
1. (a) Calculate the slope of the tangent line to c(t) at t =1/2
[tex]\\ \sf\longmapsto C(t)=(t,\dfrac{t^2}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=,\dfrac{1}{2},\dfrac{(1/2)^2}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=(\dfrac{1}{2},\dfrac{\dfrac{1}{4}}{2})[/tex]
[tex]\\ \sf\longmapsto C(1/2)=(\dfrac{1}{2},\dfrac{1}{8})[/tex]
Now
Slope
[tex]\\ \sf\longmapsto \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto \dfrac{0-\dfrac{1}{8}}{0-\dfrac{1}{2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{\dfrac{1}{8}}{\dfrac{1}{2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{4}[/tex]
Sarah made 2 3/4 cup of lemonade she drank 1 and 1/2 cups for lunch how much lemonade does she have left
Answer:
1 1/4 cup
Step-by-step explanation:
Make the mixed fractions regular fractions by multiplying the outside number by the denominator and then adding it to the numerator. For example
2 3/4
2 * 4 = 8 + 3 = 11
2 3/4 = 11/4
You should get 3/2 for how much she drank.
Now make sure your denominators are the same. Multiply both the numerator and denominator of the amount she drank by two to get 6/4
Then subtract the fractions.
11/4 - 6/4 = 5/4
Now make that into a mixed fraction.
She has 1 1/4 cup left
Can someone help me with this graph math problem please.
Answer:
x = (√2)
Step-by-step explanation:
Note that this is a 45-45-90 triangle, and that
cos 45 = adjacent side / hypotenuse. We want to find the value of x, which happens to be the adjacent side.
Recall (or look up) that cos 45 = 1/(√2). Thus:
1 / (√2) = x / 2. Solve for x by multiplying both sides by 2:
2 / (√2) = x
We want the answer as a fraction with ratinal denominator. To obtain this, multiply both numerator and denominator by (√2):
x = (√2)
