Answer:
Step-by-step explanation:
2x²+5√3 x+6 = 0
Comparing this with quadratic equation ax^2+bx+c=0
So a=2,b=5√3,c=6
Discriminant D=b^2-4ac
D=(5√3)^2-4.2.6
= 75-48
=27.
27 >0
Hence the roots are real roots
X=(-b+√D)/2a, Y=(-b-√D)/2a
X=(-5√3+√27)/2×2, Y=(-5√3-√27)/2×2
X=(-5√3+3√3)/4,. Y=(-5√3-3√3) /4
X=-2√3/4,. Y=-8√3/4
X=-√3/2, Y =-2√3
So roots are X=-√3/2,Y=-2√3
x squared - 7x-34=10 solve
The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or, x = -4.
Here, we have,
given that,
the equation is: x squared - 7x-34=10
now, we have to solve this.
so, we have,
x squared - 7x-34=10
or, x²- 7x-34=10
or, x²- 7x - 44 = 0
or, x²- 11x + 4x - 44 = 0
or, x(x-11) + 4(x-11)
or, (x-11) (x + 4) = 0
so, we get,
either , x = 11 or, x = -4
Hence, The solution is: solve of the equation x²- 7x-34=10 is: x = 11 or,
x = -4.
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ANSWER THE QUESTION PLEASE I NEED 100%
Answer:
B 8 +(-5)
Step-by-step explanation:
It was at 8 degrees then dropped 5.
So 5 was subtracted from 8.
Hope this helps!!
what is 2.898989... as a mixed number?
Answer:
2 89/100
Step-by-step explanation:
its 289/100 as an improper fraction
Keep in mind that 0.89 means 89/100.
Now apply the whole number 2.
We get 2_(89/100).
2.1-?=1 1/2
Please answer this I don’t want to fail
Which of these shows the following expression factored completely? 6x2 – 13x +5
Answer:
B
Step-by-step explanation:
That's my guess.
Answer:
C
Step-by-step explanation:
How do you do this question?
Step-by-step explanation:
Start with the series representation for eˣ.
eˣ = ∑ₙ₌₀°° xⁿ / n!
Substitute -x².
e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!
e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!
Multiply by x².
x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!
x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!
Integrate both sides (use power rule).
∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)
Evaluate between x=0 and x=0.5.
∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)
This is an alternating series, so use alternating series estimation.
(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001
(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001
n ≥ 1
So the estimate of the integral is the sum of the first two terms (n=0 and n=1).
I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)
I = (0.5³) / 3 − (0.5⁵) / 5
I = 1/24 − 1/160
I = 17/480
I = 0.0354
Find the product. Enter your final answer as a simplified fraction.
1/4•4/5•5/6=
Answer:
I am sorry if I'm wrong, but I got 600 or 36000/60
Step-by-step explanation:
First I looked for the least common denominator,(LCM) it was 60. Then I multiplied the numerator by the number that was multiplied by the denominator to find the new numerator for each fraction.(Example: The denominator was 60, so I looked for what 60 divided by four was, because that was the denominator. It ended up being 15. now I multiplied the numerator, which was 1 by 15 to create the new numerator. Then I did that with the other two fractions.) After all the fractions have the same denominator, you can multiply them. To multiply fractions you multiply all the numerators together and leave the denominator the same. Then I just simplified it. From 36000/60 to 600. Hope this helped :)
The table below shows the number of miles Josh drives and the number of hours it takes to get there. What is the constant of proportionality in the table?
Answer:
B. 50
Step-by-step explanation:
2×50=100
3×50=150
4×50=200
5×50=250
What is 15.23 rounded to the nearest hundredth
Answer:
15.20
Step-by-step explanation:
To find the product of
3
7
×
5
9
, Cameron simplified
3
7
to
1
7
and then multiplied the fractions
1
7
and
5
9
to find the product
5
63
. What is Cameron's error?
Cameron divided a factor in one of the numerators by the GCF but did not divide a factor in one of the denominators by the GCF. He should have simplified
5
9
to and multiplied
1
7
and to find the product .
please i need help.
Answer:
.........................
on Tuesday the Madison Avenue Hotel had 5 occupied rooms for every 2 unoccupied rooms. If there were 80 rooms occupied on Tuesday how many total rooms are there in the Madison Avenue Hotel?
Answer:
32
Step-by-step explanation:
if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2
(16)x2
32
Can someone help me plz
Answer:
i think the answer is 7
you have a bill of $100. find a 10% tip?
Answer:
10 bucks
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
10%=0.1
100*0.1=10
$10
.Lakewood Auditorium For the next movement, the director tells the students to move on the stage so that rectangle ZYXW is translated 25 feet to the left and 20 feet down. What are the coordinates of rectangle Z′Y′X′W′ '?
Answer:
hwhjwjaikwkww jajjksisiofee oakw
The sum of two consecutive numbers is 77. The difference of half of the smaller number and one-third of
the larger number is 6. If x is the smaller number and y is the larger number, which two equations
represent the sum and difference of the numbers?
O x - y = 77 and 1/2 x + 1/3 y = 6
O x + y = 77 and 1/2 x - 1/3 y = 6
Ox-y=6 and 1/2 x + 1/3 y = 77
Answer:
so x+y=77
1/2x-1/3y=6
Carlos is blowing air into a spherical soap bubble at the rate of 5 cm3/sec.
How fast is the radius of the bubble changing when the radius is 10 cm? (Round your answer to four decimal places.)
How fast is the surface area of the bubble changing at that time? (Round your answer to one decimal places.)
Answer:
The answer is below
Step-by-step explanation:
a) dV/dt = 5 cm³/s
The volume (V) of the bubble is:
[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]
b) The surface area of the sphere (A) is:
[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]
The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]
The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]
The formula for calculating the volume of a sphere is expressed as;
[tex]V =\frac{4}{3} \pi r^3[/tex]
r is the radius of the sphere
Differentiating the volume with respect to time;
[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]
Given the following parameters
dV/dt = 5 cm^3/sec.
r = 10 cm
Substitute into the formula to get dr/dt
[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]
The surface area of the bubble is expressed as:
[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]
Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]
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The sum of three consecutive numbers is 84. What is the largest of these numbers?
26
27
28
29
Step-by-step explanation:
set 3 no is ,x _ I ,x,x+1
X-1 + x + x + I = 84
3 X = 84
X= 84/ 3
X= 2 8
largest no is 29
1) 3 is 50% of what?
Answer: 6
Step-by-step explanation:
Understand the question explain and u will be brainiest
Which one is the slope and which one is the y-intercept? Thank you for answering whoever answers.
Answer:
2.50 is the y-intercept, and 0.30 is the slope.
Step-by-step explanation:
y = 0.3x + 2.5
Answer:
Y intercept is the intercept that goes up and down on a graph. (x,y) Rise/run is the slope. Rise is how many y units one point is from the other and run is how many x units is away from one point to another on a graph. Hope this helped at all.
I WILL GIVE BRAINLIST
Zaire keeps track of the number of frisbee golf holes on which he makes par or better. The
table shows the number of holes Zaire has played during his round so far. If the ratio of holes
with par or better to total holes played is equal to 0.8, on how many of the holes has Zaire
made par or better?
Answer:
1.80
Step-by-step explanation:
Zaire has made par or better on 12 holes out of 15 that he has played.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
If the ratio of holes with par or better to total holes played is equal to 0.8, it means that Zaire has made par or better on 80% of the holes he has played.
Let's set up an equation to solve for the number of holes with par or better:
N/15 = 0.8
To solve for N, we can cross-multiply:
N = 15 x 0.8
N = 12
Therefore, Zaire has made par or better on 12 holes out of 15 that he has played.
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An object moving in a straight line passes through the points (3, 0) and (2, 2). The object also passes through the point (0, a).
Calculate the value of a.
Answer:
colinear pts (meaning gradient is same throughout)
Step-by-step explanation:
since grad is same,
(2-0)/(2-3) = (a-0)/(0-3)
-2 = a/-3
6 = a (multiply both sides by -3)
It takes andre 4 minutes to swim 5 laps. At this rate heswims how many laps per minute.
Answer: It takes him 1 minute and 25 seconds
Step-by-step explanation:
5 divided 4
4 times 1 = 4
5-4=1
put the decimal and make 1=10 Ans.: 1.25
4 times 2 = 8
10-8=2
put the 0 = 20
4 times 5 =20
20-20=100
One pound of candies costs $3.50.
How many pound of candies can be bought for $10.50?
Answer:
2
Step-by-step explanation:
10.5/3.5=2
The retail store damaged the containers and now must sell them for $12.50. If they original bought
them for $16.00. What is the decrease percent?
Answer:
21.875 percent decrease
Step-by-step explanation:
What is the answer for number 5
Step-by-step explanation:
3x - 7 = 11
3x = 11 + 7
3x = 18
x = 18/3
= 6
Which of the following expressions is equivalent to 18 m - 12?
A. 021-9 m+6)
B. -1(18 m +12)
C. 6(3 m - 2)
D. -3(-6 m - 4)
Answer:
C and D
multiply the 6 and -3 to the numbers inside the parenthesis
What is 0.87 is 10 times as much as?
Answer:
0.087
Step-by-step explanation:
So the equation would be:
x × 10 = 0.87
So you need to find what x is
An easy way to do this is to just to:
Move the decimal point twice to the left to get 0.087
Hope this helps!
Emily went to the fair with $22.50. She spent $2.25 on food and wanted to spend the rest on rides which were $0.75. What is the maximum number of rides Emily can purchase?
Answer:
19
Step-by-step explanation:
2.25 + 0.75 = 3.00
22.50 - 3.00 = 19.50
Hope I helped!
Simplify: 5^ -3 • 5^ 5
25^ 8
25^ -15
5^ -3
5^ 2
5^2
Step-by-step explanation:
You just add the exponents
-3 +5 =2
Answer:
5^2 .............................
Step-by-step explanation:
-3 + 5 = 2
