The simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
How to rationalize the denominatorFirst, find the factors of the number that ahs square root
Given,
= [tex]\frac{5}{\sqrt{2} } + \frac{9}{\sqrt{6} } - \frac{2}{\sqrt{50} } + \sqrt{32}[/tex]
Multiply the numerators by the surd of the denominators
= [tex]\frac{5 *\sqrt{2} }{\sqrt{2}*\sqrt{2 } } + \frac{9 *\sqrt{8} }{\sqrt{8}* \sqrt{8} } - \frac{2 *\sqrt{50} }{\sqrt{50 * \sqrt{50} } } + \sqrt{32}[/tex]
Multiply through and find their square root
= [tex]\frac{5\sqrt{2} }{2} + \frac{18\sqrt{2} }{8 } - \frac{10\sqrt{2} }{50} + 16\sqrt{2}[/tex]
To simply, we have
= [tex]\frac{5\sqrt{2} }{2}+ \frac{9\sqrt{2} }{4} + \frac{1\sqrt{2} }{5} + 16\sqrt{2}[/tex]
Find the LCM
= [tex]\frac{10\sqrt{2} + 45\sqrt{2}+ 4\sqrt{2} + 16\sqrt{2} }{20}[/tex]
Add through
= [tex]\frac{75\sqrt{2} }{20}[/tex]
= [tex]\frac{15\sqrt{2} }{4}[/tex]
Thus, the simplification of the expression is [tex]\frac{15\sqrt{2} }{4}[/tex]
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can someone help me ixl
Answer:
5.5 cm
Step-by-step explanation:
√(40²-24²) - √(40²-30²)
= 32-10√7
= 5.5 (rounded to the nearest tenth)
Answered by GAUTHMATH
I NEEEDDDD HELPPPP ITS URGENTTTTT!!!!!! I’ll mark you brainliest
Answer:
(x+2)^2 + (y-15)^-1 = 64
Step-by-step explanation:
plz mark brainlist
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?
Answer:
12,24 etc
Step-by-step explanation:
4 and 6 both go into 12 evenly
4*3 = 12
6*2 = 12
12 is the least common denominator
We could also use 24
4*6 = 24
It is a common denominator, but not the least common denominator
We can use any multiple of 12
I am on a time crunch please answer fast!
Answer:
Step-by-step explanation:
Function 2 has a slope of 1.1 while function 1 has a slope of just 1.
Can someone help me I don't understand
Answer:
79.605
Step-by-step explanation:
sin 31° = 41/x
x = 41/sin 31°
x = 79.605
Choose the equation that represents the graph.
graph of a line passing through points negative 3 comma 0 and 0 comma 3
y = x − 3
y = −x + 3
y = −x − 3
y = x + 3
Answer:
Answer: Option D
Step-by-step explanation:
Hey there!
From the above question;
The line passes through (-3,0) and (0,3).
Use double point formula;
[tex]( y - y1) = \frac{(y2 - y1)}{(x2 - x1)} (x - x1)[/tex]
Keep all values;
[tex](y - 0) = \frac{(3 - 0)}{(0 - ( - 3))} (x + 3)[/tex]
Simplify it;
[tex]y = \frac{3}{3} (x + 3)[/tex]
Therefore, y = x+3.
Hope it helps!
Answer:
D
Step-by-step explanation:
Hunter pushed a couch across the room. He did 800 J of work in 20 seconds. The couch weighed 500 N. How much power did he have?
A . 40 W
B . 1.6 w
C. 16,000 w
D . 800 w
In 1991, the moose population in a park was measured to be 1900. By 1997, the population was measured again to be 3600. If the population continues to change linearly: Find a formula for the moose population, P, in terms of t , the years since 1990. P = What does your model predict the moose population to be in 2007?
Answer:
Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)
The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.
Step-by-step explanation:
.
In ABC, what is the measure of angle B?
Answer:
D
Step-by-step explanation:
The sum of two remote interior angles (a remote interior angle is the interior angle that is not supplementary to the exterior angle given -- in this case A and B are remote angles) equals the exterior angle.
In This case A + B = 140
A = x + 2
B = 2x
x +2 + 2x = 140
3x + 2 = 140 Subtract 2 from both sides
3x = 138 Divide by 3
x = 138/3
x = 46
<B = 2x
<B = 2*46
<B = 92
Helppppp pleaseeee anyoneeeee
Step-by-step explanation:
so, the time to answer questions has to be added to the speaking time to get the total time of the meeting.
the speaking time is constant (25 minutes).
q = 1 means t = 25 + q = 25 + 1 = 26
q = 2 means t = 25 + q = 25 + 2 = 27
q = 3 means t = 25 + q = 25 + 3 = 28
q = 8 means t = 25 + q = 25 + 8 = 33
determine the equation of a parallel line to x=5
Answer:
x = constant ( other than 5)
Step-by-step explanation:
The slope of a line x=5 is undefined
Parallel lines have the same slope
So any line that is vertical ( slope undefined) will be parallel
find A={a,b,c} then find A*A.
Assuming you want to do a cartesian product, then you basically form items (x,y) such that x is in set A, and y is in set A
More generally, A * B will consist of items of the form (x,y) such that x is in A and y is in B. However, we have B = A.
So,
A * A = {
(a,a), (a,b), (a,c)
(b,a), (b,b), (b,c)
(c,a), (c,b), (c,c)
}
I broke things up into separate rows to show that we can form a 3x3 table. Each row is a different x value from the set {a,b,c}. Each column is a different y value from the set {a,b,c}
In my opinion, this helps organize things much better than rather have it all on one single line like this
A * A = { (a,a), (a,b), (a,c), (b,a), (b,b), (b,c), (c,a), (c,b), (c,c) }
which in all honesty looks like a bit of a cluttered mess.
Answer:
Step-by-step explanation:
A={a,b,c}
A×A={a×a,a×b,a×c,b×a,b×b,b×c,c×a,c×b,c×c}
Help please............./..
Answer:
D
Step-by-step explanation:
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.
Answer:
Hello! the answer is CD is 17,0 (-2,19)
J.W. is an artist and sells hisnpottery each year at a local Renaissance Festival. He keeps track of his sales and the 7.75% sales tax he collects by making notations in a ledger. Every evening he checks his records by counting the total money in his cash drawer. After a day of selling pottery, the cash totaled $1253.68. How much is from the sale of the merchandise and how much is sales tax? Round your answer to the nearest cent.
The amount from tax is $97.16 while the amount from sales is $1156.52
Tax is a compulsory sum levied on the sales of goods and services
Taxes increases the price of a good
The price of J.W.'s pottery would be 7.75% higher as a result of the tax
Amount of tax collected = percentage of sales tax x total of cash
0.0775 x $1253.68 = $97.16
Amount from the sale = total cash - taxes
$1253.68 - $97.16 = $1156.52
For more information on how to determine sales tax, check : https://brainly.com/question/19715580?referrer=searchResults
What is the length of the altitude of the equilateral triangle below?
A. /240
B. 144
C. 12
D. 4
E. 12/3
F. 4/3
Answer:
its C option which is 12
Answer:
A
Step-by-step explanation:
Using Pythagoras' identity in either of the 2 right triangles
a² = (4[tex]\sqrt{3}[/tex] )² + (8[tex]\sqrt{3}[/tex] )² = 48 + 192 = 240 ( take square root of both sides )
a = [tex]\sqrt{240}[/tex] → A
what’s the answer ? i don’t understand this one. please show me the answer
Answer:
hello,
Step-by-step explanation:
n+2*(2n-5)=20
5n-10=20
5n=30
n=6
A video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
25 used games
Step-by-step explanation:
Divide his money by the price for one used game
300/12
25
Answer:
y=0
12x=300
X=300/12
X=25
he can buy 25 used games .
Step-by-step explanation:
find the length of one side of a regular hexagon if its perimeter is 24 x+48
A. 3x+3
B. 6x+12
C. 4x+8
D. 8x+16
Answer:
C ) 4 x + 8
Step-by-step explanation:
( 24 x + 48 ) / 6
4 x + 48
The length of a regular hexagon is:
4x ₊ 8
How many sides do a hexagon have? How do we calculate the length and parameter of it?
A regular hexagon have six sides.
The area of a regular hexagon can be calculated using the formula (33 s2)/2, where s is the side length. The lengths of all six sides of a hexagon can be added to determine its perimeter. Perimeter = 6 s, where s is the length of one side, is the formula used to determine the size of a regular hexagon.
Solution:
Given,
parameter of a hexagon = 24x ₊ 48
length of one side of a hexagon s = p ÷ 6
s = 24x ₊ 48 ÷6
s = 4x ₊ 8
Hence we get the length of one side as 4x ₊ 8
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A television was sold at a gain of 20% after allowing a discount of 20% on its marked price . Had it been sold after allowing 25% discount there would have been a gain of Rs.1450. Find the marked price of the television.
Answer: The marked price is 40% more than the original price
40% - 25% = 15% or 1450
Marked price = 140%
140 × 1450 ÷ 15 = 13533. 33
Step-by-step explanation:
Choose the inequality that represents the following graph.
Answer:
D) x ≥ -2
Step-by-step explanation:
Guys please help me with this problem
Answer:
11. 5%
Step-by-step explanation:
1 + percent increase = 1.115
Percent increase = 1.115 - 1 = 0.115 = 11.5 /100 = 11.5 %
Answer:
Step-by-step explanation:
In the exponential form of an equation, the growth or decay rate is found inside the parenthesis. The standard form of an exponential equation is
[tex]y=a(1+r)^x[/tex] if it's growth, or
[tex]y=a(1-r)^x[/tex] if it's decay.
Looking at those equations, logically a growth equation is greater than 1, while a decay equation is less than 1. Obviously, our function is a growth.
To determine the rate of growth, we look closely at (1.115) inside the parenthesis. BECAUSE that is greater than 1, we KNOW it is growth, therefore, it follows the (1 + r) pattern. Let's break up our (1.115) so it models that pattern:
(1.115) --> (1 + .115) and since these are percentages in their decimal form, it follows that 1 is 100% and .115 is 11.5%. Our growth rate is 11.5%
Glven: 3x < 9.
Choose the solution set.
Answer:
x<3
Step-by-step explanation:
We divide equation by 3. So we get x<3. You can think of it with logic, too.
Answer:
x<3
Step-by-step explanation:
3x< 9
Divide each side by 3
3x/3 <9/3
x < 3
There is an open circle at 3 and a line going to the left
can i get some help please
Answer:
28.26
Step-by-step explanation:
We want to find the area of the circle shown.
We can calculate the area of a circle using the formula A = πr²
where r = radius
The circle shown has a given diameter of 6
We want the radius.
To convert diameter to radius simply divide the measure of the radius by 2
So radius = 6 / 2 = 3
Now to find the area we simply plug in the value of the radius into the area of a circle formula
Area of a circle: A = πr²
r = 3
( Note that the question says to use 3.14 for π )
So π = 3.14
* Substitute values *
A = (3.14)(3)²
3² = 9
(3.14)(9) = 28.26
A = 28.26
And we are done!
How long would it take a garden snail at his top speed of 0.01 m/s to travel 1 mile? Use 1 mile = 1609 meters. Round to the nearest whole hour.
Answer:
45 hours
Step-by-step explanation:
1 mile * 1609 meters * 1 s = 160900 sec
1 mile .01 meters
160900 sec / 60 /60 = 44.7 = 45 hours
Step-by-step explanation:
This is a cute question lol.
So this lil snail is trying to go 1609 meters, at a speed of 0.01 m/s (meters per second). Lets see how long that takes.
The way I like to do conversion problems is by starting with the value that doesn't have something on the bottom (1609 m) then multiplying to get rid of that variable.
I'll show you what I mean:
[tex]\frac{1609 m}{1} *\frac{1 s}{0.01 m} *\frac{1 min}{60s} *\frac{1 hr}{60 min}[/tex]
Then, we just multiply everything.
[tex]\frac{1609 *1*1}{1*0.01*60*60}hr[/tex]
Simplify.
[tex]\frac{1609}{36}hr[/tex]
Divide.
[tex]44.694444444...hr[/tex]
Round to the nearest whole hour.
[tex]45 hr[/tex]
Answer:
45 hours
=
-1
Use the distributive property with factoring to find the equivalent expression.
33x + 22y = 11 X + y
Answer:
22x + 21y = 0
Step-by-step explanation:
33x + 22y = 11x + y
Subtract y from both sides.
33x + 21y = 11x
Subtract 11x from both sides.
22x + 21y = 0
What is the estimate for 312+138+207
Answer:
657
Step-by-step explanation:
312 + 138 + 207
= 450 + 207
= 657
Answer:
600
Step-by-step explanation:
To round your answer, you check the tenths place to see if it is under 5 or above 5. If it is under 5, your answer will stay in the number the hundreds place is in currently. If it is above 5, you will add one to the hundreds place.
312: there is one in the tenths place, so it will stay as 300.
138: there is three in the tenths place, so it will stay as 100.
207: there is a zero in the tenths place, so it will stay as 200.
If you are doing it with the one's place, it is the same method. Either round up or down.
300 + 100 + 200 = 600
The answer is 600.
Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.
Explanation:
In the LS column, you'll have these steps
3x - 1
3*4 - 1
12 - 1
11
Effectively, we replaced x with 4 and then simplified using PEMDAS.
And in the RS column, you'll have these steps
x + 7
4 + 7
11
We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7
31/6=0.1875. Which calculation is NOT a way to find 9/16?
Answer:
A
or
the top right option
or
0.5 + 0.1875
Step-by-step explanation:
We know D or 9 divided by 16 is the same as 9/16, so just solve for that.
Then solve for the others and find the ones that doesn't equal 9/16.
Write the following expression as a simplified polynomial in standard form.
(x-4)^2+3(x-4)+6
Answer:
x6−24x5+240x4−1280x3+3840x2−6144x+4102
Step-by-step explanation:
I don't know if this is right or not but there ig?
