Answer:
The expression can be simplified into [tex]2\,\sqrt{5} +2\sqrt{2}[/tex]
with no square roots in the denominator
Step-by-step explanation:
We are considering the expression [tex]\frac{6}{\sqrt{5}-\sqrt{2} }[/tex] which I believe is what you wanted to type in your question.
The idea behind simplification of the expression, is normally associated with the rationalization of the denominator by eliminating irrational numbers from it. This means to get rid of any "irrational" number expression (like in this example, the square root of non-perfect square numbers ([tex]\sqrt{5}\,\,\,and \,\,\sqrt{2}[/tex]).
We proceed by writing this quotient in an equivalent form by multiplying its numerator and its denominator by what is called the "conjugate" of the denominator. In our case, multiply by " [tex](\sqrt{5} +\sqrt{2})[/tex] ", because such product will allow the denominator to become a rational number:
[tex]\frac{6}{\sqrt{5}-\sqrt{2} }\,*\,\frac{(\sqrt{5}+\sqrt{2} )}{(\sqrt{5}+\sqrt{2}) } =\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{\sqrt{5}^2-\sqrt{2}^2 }=\frac{6\,(\sqrt{5}\,+\,\sqrt{2} )}{3}=2\,\sqrt{5} +2\sqrt{2}[/tex]
where we find all square roots eliminated from the denominator
answer please need help and is struggling
Answer:
q < 5
Step-by-step explanation:
Since there is an open circle it means there is no equal sign
The line goes to the left so it is less then q < 5
Answer:
q<5
Step-by-step explanation:
The sign is < because the arrow is point left and has an open circle. 5 because that is where the arrow starts.
If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?
Answer:
the answer is -x^2 + 2x - 6
Step-by-step explanation:
What is the equation, in slope-intercept form, of the line that is perpendicular to the line
y-4 = -(x - 6) and passes through the point (-2, -2)?
o y = x - 10
0 y = x + 10
o y = 2 X-1
O y = x + 1
Answer:
I think it is c
Step-by-step explanation:
I just worked it out but I am not sure if I am 100% right.
hope this helped at all!!!
Answer:
y = 3/2x - 1
Step-by-step explanation:
Slope intercept form = y = mx + b
m = slope of the line = -2/3
y = -2/3x + b
Plug in (-2, -2) and the perpendicular line is
y = 3/2x - 1
You are welcome and don't for get to click THANKS
The table below shows the survey results for six randomly selected frogs from a pond.
Gender Length, cm Weight, grams
F 8.5 22.7
F 7 19.3
M 9 25.2
M 6 18.1
F 8 22.1
M 11 23.6
F, female; M, male.
This data set contains
three variables, two of which are categorical
three variables, all of which are categorical
three variables, one of which is categorical
three variables, none of which are categorical
Answer:
This data set contains three variables, one of which is categorical
Step-by-step explanation:
The three variables are: Gender, Length and Weight
A categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values. In this example, the only categorical variable is Gender, because it can only take two possible values, female (F) or male (M). The other two variables are not categorical because they have to be measured, and their values are not fixed.
Ben makes $39,600 a year. What is the maximum amount he can afford for a'
mortgage each month?
O
O
O
A. $890
B. $825
c. $850
D. $875
Answer: I feel that the answer might be B. $825 because I did calculate it but I lost my calculations so the answer is B but I just don't have the reason why sorry
The maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
What is mortgage?The mortgage is a type of loan which is taken to purchase the home or lands.
In the given problem, Ben makes $39,600 a year. The rate of interset for the mortgage he has is 4. Thus, the amount he can afford for a'mortgage each year is,
[tex]M=\dfrac{39600}{4}\\M=9900[/tex]
There is total 12 months in one year. Thus, the maximum amount he can afford for a'mortgage each month is,
[tex]M=\dfrac{9900}{12}\\M=825[/tex]
Thus, the maximum amount Ban can afford for a' mortgage each month when he makes $39,600 a year is $825. Option B is correct.
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What is the value of X?
Answer:
45
Step-by-step explanation:
The two angles with measures are a linear pair and supplementary, so their measures add to 180 deg.
3x + x = 180
4x = 180
x = 45
____________________________________
Solution,
X°+3x°=180°( sum of angle in straight line)
or,4x°=180°
or,X=180/4
X=45
The right answer is 45
hope it helps
Good luck on your assignment
___________________________________
chris wxamines under his microscope. he finds that it is a cube with each side length 6 millimeters draw one square face of the crystal on the grid below
Answer:
Step-by-step explana
tion:
Ratatouille
(8^3 + 2^2 + 1) - (7 - 7^3+3^2)
Answer:
844 is the ans
Step-by-step explanation:
512+4+1 -7 +343+9= 844
Answer: 844
Step-by-step explanation:
Mrs. Holland purchased a computer. She initially put down $105.40 and will pay $20.60 per
month until the computer is paid off. Use the equation b = 105.40 + 20.60m to determine
how many months it will take to pay off the computer if the total cost was $682.20
Answer:
It will take her 28 months
Step-by-step explanation:
You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.
Answer:
The Answer you are looking for is 28 months.
Give the domain and range.
Answer:
Domain is {-2,0,2}
Range is {4,6,8}
Step-by-step explanation:
The domain is the input or x values
Domain is {-2,0,2}
The range is the output or y values
Range is {4,6,8}
PLZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Hakeem wants to be a professional basketball player. He is currently a junior and is taking physics. Mrs. Martin, his teacher, tells him that she can predict exactly when his three-point shot will return to the ground before Hakeem even takes the shot. Mrs. Martin tells Hakeem that the path of his ball can be modeled by the equation below, where t is the time in seconds after he throws the ball, and h is the height of the ball in feet. If Hakeem makes a three-point shot, how long will it take for his ball to return to the ground? (Round the time to the nearest second.)
A. The basketball will return to the ground 19 seconds after being shot.
B. The basketball will return to the ground 2 seconds after being shot.
C. The basketball will return to the ground -1 seconds after being shot.
D. The basketball will return to the ground 1 seconds after being shot.
Answer:
Answer is B
Step-by-step explanation:
C) -1 seconds is back into the past by 1 second, which makes it wrong
A) 19 seconds for a ball to be in the air? That's too long
D) 1 Second isn't enough for the ball to either go through the hoop or do anything unless he just let it go from the height of the hoop.
What is... 55.
One more?.......,,,
One less?.............
Ten more?...........,
Ten less?..............
Answer:
one more would be 56
one less would be 54
ten more would 65
ten less would be 45
Step-by-step explanation:
add one more to 55 to get 56
subtract one from 55 to get 54
add ten more to 55 to get 65
subtract ten from 55 to get 45
which inequality is represented by this graph ?
Answer:
It's D.
Step-by-step explanation:
If it is a closed circle, it is greater/less than or equal to. If it goes right, it's greater than. If it goes left, it's less than.
Answer:
x≥ -53
Step-by-step explanation:
There is a closed circle at -53 which means equals and the line goes to the right which means greater than
x≥ -53
answer options : 120, 60, 180 or 90
Nichole bought a gift for her friend. She
placed the gift in a box with the length
of 10 inches, width of 5 inches, and
height of 2 inches. What is the surface
area of the box?
Answer:
10 by 5 =50
10 by 5=50
10 by 2=20
10 by 2=20
2 by 5=10
2 by 5=10
100+40+20=160
100 points, will give brainliest!
Suppose that in circle with center P, and a central angle, ∠OPQ, intersects minor arc OQ, where the measure of arc OQ = 82◦, and the measure of ∠OPQ is (5x – 3) ◦.
What is the value of x?
Thank you so much for helping!
Hope you are doing well
Answer:
x=17
Select the correct product.
(y+ z)3
y 3+3y2z+ 3yz 2 + z 3
y 3 y+ 3 z
y 3 z 3
y 3 + z 3
Answer:
Step-by-step explanation:
Simplify the radical expression.
- V8n•2 12
The value of the radical expression is A = -3n√12
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = -√8n² ( 12 )
On simplifying , we get
A = -√108n²
Taking the value of n outside , we get
A = -n√108
On further simplification , we get
A = -n3√12
A = -3n√12
Hence , the value of the expression after simplification is A = -3n√12
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The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?
Answer:
Step-by-step explanation:
surface area=4×5+2×1/2×3×4+5×5+3×6
=20+12+25+18
=75
Elise says, "If you subtract 16 from my number and multiply the difference by - 7, the result is
-154” what is Elise’s number?
Answer:
-6
Explanation:
Elise's number is x.
If you subtract 16 from her number -> x-16
and multiply the difference by 7 -> 7(x-16) = -154
Elise's number is -154/7+16 = -6
Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil. Jason decides to test the land for oil. He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil. What is the probability that the land has no oil and the test shows that it has oil? A. 0.09 B. 0.11 C. 0.36 D. 0.44
Answer:
Jason Inherit a land with a 45% chance of having oil.
Step-by-step explanation:
The probability of the land having oil is = P ( O) = 45 /100
The probability of the land having oil is= Q(O ) =55/100
The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.
The probability of the correct reading is= P(M)=80/100
The probability of the incorrect reading is=Q(M)=20/100
The case when the machine predicts there is no oil and there is indeed oil can be calculated:Probability=Probability of oil present × probability of the incorrect reading
Probability=P(O) x Q(M)
Probability=45/100 x 20/100
Probability=9/100
The probability of the test predicting no oil in land and the land has oil is 0.09 or 9%
The following table shows the probability distribution for a discrete random
variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59
Answer:
Because the random variable X is discrete, the variance of X is defined as
var(X) =
where
p = values of probability as given in the table.
μ = 18.59
Calculate the array (x - μ).
x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]
Calculate the array (x-μ)².
(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]
Calculate the array p*(x-μ)².
p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]
Calculate the variance of X.
var(X) = 23.182
Step-by-step explanation:
Answer: 23.18 (nearest hundredth)
Answer: 18.59
Step-by-step explanation:
A P E X
Somebody please help me please
Answer:
The correct sign is : <
Step-by-step explanation:
3.126 *10^2 is greater than 31260000*10^-9 by 312.56874
Answer: <
Step-by-step explanation:
10^-9 = .00000001
Multiply
31,260,000 * .00000001 = .3126 * 10^0 (1)
10^2 = 100
Multiply
3.126 * 100 = 312.6
.3126 * 10^0 < 3.126 * 10^2
Select the ordered pair that is a solution
of this equation.
2x - 4y = 2
Click on the correct answer.
(-2,-3)
(-3,-2)
(-3,-6)
Step-by-step explanation:
You could do this in your head, but I'm going to type out everything.
Also, you're going to have to just test these out, there is no short cut for this sort of problem.
[tex]2(-2)-4(-3)=2\\-4+12=2\\8\neq 2\\\\2(-3)-4(-2)=2\\-6+8=2\\2=2[/tex]
I didn't do the last ordered pair because we already found one that fit the equation. Also, it wouldn't be a 1:1 equation if that last one was true, so you can rule it out once you see that (-3,-2) is the correct answer.
Answer:
(-3,-2)
Find the equation of the line.
Use exact numbers
y=___ x+____
Answer:
y=x-5
Step-by-step explanation:
transformations from parent function:
down 5 units
Answer:
y=x-5
Step-by-step explanation:
slope=rise/run=5/5=1
y -intercept=-5
y=x-5
Ram baked 946 cupcakes she sold them in a box of 22 for $16.50 a box how many boxes would she need to make at least $300?
for the fun of it
1 * 100000000 * 967 *0 +1
Answer:
1.
Step-by-step explanation:
By the order of operations, multiplication goes before addition. We got left to right.
As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.
0 + 1 = 1.
I hope this helps!
I need help again brainiest who ever get this right
Answer:
Step-by-step explanation:
26x25x24x23x22x21x10x9=30,891,577,600
=Thirty billion, eight hundred ninety-one million, five hundred seventy-seven thousand, six hundred.
the answer was kind of in the question btw :)
Kelli wants to buy one pound of blueberries and several pounds of grapes. She has $15 to spend. Write an inequality to represent this situation. Then solve the inequality and graph the solutions. What do the solutions represent in the context of the problem?
Step-by-step explanation:
daddy want some more dior
help me please <3 thank youu
Answer:
7,2,3
D
Step-by-step explanation:
