Answers
Answer:
[tex]\frac{8-\sqrt{6} }{2}[/tex]
Step-by-step explanation:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.
We can write the expression:
[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]
We can use the special product of the difference of squares to simplify the denominator:
[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]
We can use distributive for the numerator:
[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]
Now we can rewrite the fraction:
[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]
Related Questions
How to play tennis is a topic that would be considered
too narrow
too broad
Answers
Answer:
I would say too broad.
Step-by-step explanation:
Use the graph to find the approximate solutions to the question.
Answers
Express cos K as a fraction in simplest terms
Answers
Answer:
Step-by-step explanation:
You don't need to solve for IJ so don't.
Cos(J) = adjacent / hypotenuse
adjacent = 5
hypotenuse = 23
Cos(J) = 5/23
Terry finished cooking at 7:36 p.m. She cooked for 2 hours and 40 minutes. What time did she start cooking?
Answers
Answer:
2:56 pm
Step-by-step explanation:
end time: 7:36 pm
Borrow one hour from the hours and add it as 60 minutes to the minutes.
7:36 pm = 6:96 pm
Now subtract 2:40 from 6:96.
Subtract 2 from 7 and subtract 40 from 96.
7:36 pm - 2:40 = 6:96 pm - 2:40 = 2:56 pm
Answer: 2:56 pm
Sum of 4x^3+6x^2+2x^2-3 and 3x^3+3x^2-5x-5 is
Answers
9514 1404 393
Answer:
7x^3 +11x^2 -5x -8
Step-by-step explanation:
Combine like terms.
(4x^3+6x^2+2x^2-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +2 +3)x^2 +(-5)x + (-3 -5)
= 7x^3 +11x^2 -5x -8
_____
Noting that the first expression contains two x^2 terms, we wonder if you actually want the sum ...
(4x^3+6x^2+2x-3) + (3x^3+3x^2-5x-5)
= (4 +3)x^3 +(6 +3)x^2 +(2 -5)x +(-3 -5)
= 7x^3 +9x^2 -3x -8
Please help me with these 3 questions!! Will mark Brainliest :)
Answers
Answer:
7. 75.36 inches
8. 21 inches
9. 13 inches
Step-by-step explanation:
7. Circumference = π × d
The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.
8. Circumference = π × d
If we move variables around, d = Circumference / π
So, d = 65.94 / 3.14 = 21 inches.
9. To do this, let's figure out the diameter: d = Circumference / π
d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.
5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
Answers
Answer:
$11.50
Step-by-step explanation:
Suppose that you are interested in the relationship between the return rate on a stock in 2010 compared to the return rate in 2009.-You believe that the return rates in both years are positively correlated. A sample of 15 stocks'yields the following regression results: b0=5.3, b1= 1.04, sb= 1.79, and MSE = 35.4. 1:79, sb= 0.2163, R2 = 0.64
i. How would you explain the slope coefficient b1?
ii. What is the least squares regression line?
iii. What is the predicted value of y when x = 5
iv. Calculate the error sum of squares.
v. Calculate the total sum of squares.
vi. Calculate the regression sum of squares.
vii. Prepare the analysis of variance table for regression.
Answers
Step-by-step explanation:
1. we have b1 = 1.04 which is positive. we say that the return I. 2009 is positively correlated with the return in 2010.
2. Y = b0 + b1X
Y = 5.3 + 1.04X
3. If x = 5
Y = 5.3 + 1.04(5)
Y = 10.5
4. SSE = mse x (n-2)
n = 15, mse = 35.4
SSE = 35.4 x(15-2)
= 35.4 x 13
= 460.2
5. We are to find SST here
R² = SSR/ SSR + SSE
R² = 0.64
SSE = 460.2
0.64 = SSR/SSR+460.2
Cross multiply
0.64(SSR + 460.2) = SSR
0.64ssr + 294.528 = SSR
Collect like terms
294.528 = SSR - 0.64SSR
294.528 = 0.36SSR
SSR = 294.528/0.36
SSR = 818.13
SST = SSR + SSE
= 818.13 + 460.2
= 1276.53
6. The SSR has been calculated to be 818.13
What is the range of possible sizes for side x?
Answers
Answer:
x = 3.96
Step-by-step explanation:
To find the missing side length you'll need the formula a^2 + b^2 = c^2
a and b would be the shorter ends, 2.8 and 2.8
c would be the longer end that's opposite the right angle.
so substitute values
2.8^2 + 2.8^2 = c^2
7.84 + 7.84 = c^2
15.68 = c^2
√15.68 = √c^2
3.959797 = c
c = 3.96
side c would be side x so x is 3.96
Find the value of x. Show your work.
WILL GIVE BRAINLIEST!!!!!
Answers
Because When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles. And it say that that angle equals 32 so just do 32-90 you get 58 but it says 6x plus 4 then you do 58-4 you get 54
I need help answering this question I will give Brainlyiest to any one
Answers
Answer:
It is 21
Step-by-step explanation:
I took the test
Answer:
x = 147°
Step-by-step explanation:
x = 180° - 33°
x= 147 °
complete the table
pa answer nàman ohh
please
Answers
Answer:
1. 210KM
2. 5.5 HOURS
3. 110KPH
4. 1.5HOURS
5. 336KM
6. 80KPH
7. 96KPH
8. 153.8KM
9. 40KPH
10. 45KM
Step-by-step explanation:
TIME = DISTANCE/SPEED
DISTANCE = SPEED × TIME
SPEED= DISTANCE/TIME
Let 0 be an angle such that sec0= -13/12 and cot0<0. Find the exact values of tan0 and sin0.
Answers
Answer:
tan 0 = -2.4
sin 0 = 0.42
Step-by-step explanation:
sec 0 = -13/12 => cos 0 = -12/13
cot 0 < 0 => tan 0 < 0
so, the angle is on second quadrant
=> tan 0 = -12/5 = -2.4
=> sin 0 = 5/12 = 0.42
Answer:
Solution given;
Sec θ=-[tex]\frac{13}{12}[/tex]
cotθ< 0,
It lies in second quadrant.
where sin and cosec is positive.
Now
[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]
cosθ=[tex]\frac{12}{13}[/tex]
[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]
b=12
h=13
By using Pythagoras law
p=[tex] \sqrt{13²-12²}=5 [/tex]
Now
exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]
since it lies in II quadrant
tan θ=-[tex]\frac{5}{12}[/tex]
and
sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]
since it lies in II quadrant
sin θ=[tex]\frac{5}{13}[/tex]
Winston works selling bicycles.
He is paid a flat rate of $200 plus $50 for every bicycle that he sells.
How many bicycles must Winston sell to earn at least $650?
Answers
Answer:
3
Step-by-step explanation:
650/250 = 2.6 (3)can't sell half a cycle
Can someone help with this problem please.
Answers
The ball is 57 feet from the hole.
Explanation:
The distance from the tee to the hole is 181 yards.
Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards
1 yard = 3 feet
x = 19 yards = 57 feet
What is the y-intercept of the line given by the equation y=5x+16 ?
Answers
Answer:
16
Step-by-step explanation:
Slope intercept form is
y = mx + b
m is the slope
b is the y-intercept
-----------------------
y = 5x + 16
is in slope intercept form
b, the y-intercept is 16
which is point (0, 16)
Are M, N, and O collinear? If so, name the line on which they lie.
Answers
Answer:
Yes, they lie on the line NP
Answer:
they lie in the line MO
Step-by-step explanation:
HELLOOOOOOOOOOOOOO WASUPPPPPPP
Answers
hii........
nothing just studying
A caterpillar eats through 2/3 leaves for every 4/5 minutes. What is the unit ratio for leaves eaten through to minutes?
Answers
Answer:
1 1/5
Step-by-step explanation:
Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?
Answers
Answer:
No.of cups for one soup : 2 cups
No.of cup for 3 soups: 2×3
=6
So , 6 cups of vegetable
HOPE IT HELPS U :)
What is the measure, in degrees, of angle b?
Answers
The top angle is the same as the bottom angle, since they are vertically opposite angles.
b+20=40
b=40-20
b=20
It is also 20 degrees.
Answer:
Step-by-step explanation:
angle b+20 degree=40 degree(being vertically oppoite angles)
angle b=40-20
angle b=20
therefore angle b=20 degree.
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Answers
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
B Reading Choose the best estimate for the multiplication problem below. 85 x 86
A. 8100
B. 10,400
C. 12,200
Answers
Answer:
A. 8100
Step-by-step explanation:
85 x 86
To estimate, we multiply 85*100, which is the easiest multiplication, as a multiplication by 100 is the same as placing two zeros at the end of the number.
85*100 = 8500
Since 86 < 100, 85*86 < 8500. Thus, the correct estimate is given by option A.
at food mart, hot dogs can be purchased in packages of 8 for $2.40 or packages of 12 for $3.00. which is a better buy? explain how you know HELP
Answers
Answer:
12-hot dog package is better buy because the per hot dog price is 5 cents cheaper
Step-by-step explanation:
2.40/8 = 0.30 per hot dog
3.00/12 = 0.25 per hot dog (this is the better buy by $.05)
Answer:
12-hot dog package per hot dog price is 5 cents cheaper
Step-by-step explanation:
= 2.40/8 = 0.30 per hot dog
= 3.00/12 = 0.25 per hot dog (this is the better buy by $.05)
Hope this answer helps you :)
Have a great day
Mark brainliest
10x10x10x10x10x10x10 in word form
Answers
Answer:
10,000,000
Step-by-step explanation:
ten million
Answer:
10 times 10 or ten times ten or ten to the power of seven ( only for expontants )
Step-by-step explanation:
hope it helps :)
I NEED HELP ASAP!!!!! I WILL GIVE LOTS OF POINTS
Answers
Answer:
1) -⅓
2) -6
3) infinite
4) 4
Step-by-step explanation:
slope = y/x
1) -1/3 = -⅓
2) -6/1 = -6
3) 1/0 = infinite
4) 4/1 = 4
Answer:
1:
(0,-1) and (3,-2)
slope=(y2-y1)/(x2-x1)=(-2+1)/(3-0)=-⅓
2.
(0,2)&(1,-4)
d
slope=(-4-2)/(1-0)=-6
3.
(-3,-3)&(-3,-4)
slope=(-4+3)/(-3+3)=infinite
4.
(-1,2)&(2,-2)
slope=(-2-2)/(2+1)=-4/3
Helppppp meeeeeeee plsssssssss
Answers
Answer:
X4
Step-by-step explanation:
If I had 36 apples what is the percentage of 20
Answers
Answer:
20 apples is 55.55% of 36 apples.
Step-by-step explanation:
Given that I had 36 apples, to determine what is the percentage of 20 of them, the following calculation must be performed:
36 = 100
20 = X
(20 x 100) / 36 = X
2000/36 = X
55.55 = X
Therefore, 20 apples is 55.55% of 36 apples.
What is the area of a rectangle that is 3 1/3 yards on one side and 7 2/3 yards long on the other side?
Answers
Answer:
The answer is A=2/9 yards²
Step-by-step explanation:
The formula for a rectangle is A=B x H
So the equation is A= 1/3 yards x 2/3 yards
I suppose this is right.
Kindly solve ½=4/?, What's going to be the answer? Thank you
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
1/2 = 4/8