Answers
Answer:
[tex]=8\sqrt{15}b^{\frac{7}{2}}[/tex]
Step-by-step explanation:
[tex]\sqrt{24b^3}\sqrt{40b^2}\sqrt{b^2}[/tex]
[tex]=\sqrt{40}\sqrt{b^2}\sqrt{b^2}\sqrt{24b^3}[/tex]
[tex]=\sqrt{40}b^2\sqrt{24b^3}[/tex]
[tex]\sqrt{24b^3}[/tex]
[tex]=\sqrt{24}\sqrt{b^3}[/tex]
[tex]=\sqrt{24}b^{\frac{3}{2}}[/tex]
[tex]=\sqrt{24}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=\sqrt{2^3\cdot \:3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=\sqrt{2^3}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]\sqrt{2^3}[/tex]
[tex]=2^{3\cdot \frac{1}{2}[/tex]
[tex]=2^{3\cdot \frac{1}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{40}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3\cdot \:5}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\sqrt{2^3}\sqrt{5}b^2[/tex]
[tex]=2^{\frac{3}{2}}\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}}\sqrt{5}b^2[/tex]
[tex]=\sqrt{3}b^{\frac{3}{2}}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^2[/tex]
[tex]=\sqrt{3}\cdot \:2^{\frac{3}{2}+\frac{3}{2}}\sqrt{5}b^{\frac{3}{2}+2}[/tex]
[tex]2^{\frac{3}{2}+\frac{3}{2}}[/tex]
[tex]=2^3[/tex]
[tex]=2^3\sqrt{3}\sqrt{5}b^{\frac{3}{2}+2}[/tex]
[tex]b^{\frac{3}{2}+2}[/tex]
[tex]=b^{\frac{7}{2}}[/tex]
[tex]=2^3\sqrt{3}\sqrt{5}b^{\frac{7}{2}}[/tex]
[tex]=2^3\sqrt{3\cdot \:5}b^{\frac{7}{2}}[/tex]
[tex]=8\sqrt{15}b^{\frac{7}{2}}[/tex]
Related Questions
What is the slope of the function
Answers
Answer:
The slope of any equation that is in the form of y = mx + c is the m
Step-by-step explanation:
If you want to know a certain slope. Please provide the equation
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope.
[tex]m=y_{2} -y_{2}/x_{2}-x_{1}[/tex]
The table says:
[tex]x : -4 , -2 , 0 , 2 , 4\\ y : -16 , -6 , 4 , 14 , 24[/tex]
[tex]m=-6 --16/-2--4[/tex]
[tex]m=10/2[/tex]
[tex]m=5[/tex]
The present age of Joyal’s mother is three times the present age of joyal. After 5 years their ages will add up to 66. Find their present age
Answers
Answer:
The present age of Joyal is 14 years.
The present age of Joyal's mother is 42 years
Step-by-step explanation:
Let J denotes the age of Joyal
Let M denotes the age of Joyal's mother
The present age of Joyal’s mother is three times the present age of joyal.
Mathematically,
M = 3J
After 5 years their ages will add up to 66
Mathematically,
(M + 5) + (3J + 5) = 66
M + J + 10 = 66
M + J = 66 - 10
M + J = 56
But we know that M = 3J
3J + J = 56
4J = 56
J = 56/4
J = 14 years
So the present age of Joyal is 14 years.
M = 3J
M = 3(14)
M = 42 years
So the present age of Joyal's mother is 42 years.
please help for brainliest
Answers
Answer:
A=314.16cm2
Step-by-step explanation:
A=πr2 this is the formula
Answer:
3.142cm^2
Step-by-step explanation:
A=πr^2
A=3.142×10^2
A=3.142×100cm^2
A=314.2cm^2
There are 12 horses competing in a show. In how many ways can the blue, red, and yellow ribbons be awarded?
Answer
Answers
Answer:
There are 12 choices for the blue ribbon, 11 choices for the red and 10 choices for yellow so the answer is 12 * 11 * 10 = 1320.
Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + b^2/4a=a(x^2+b/ax+b^2/4a^2 step4a: -c+b^2/4a=a(x+b/2a)^2 step4b: -4ac/4a+b^2/4a=a(x+b/2a)^2 Which best explains or justifies Step 4b? factoring a polynomial multiplication property of equality converting to a common denominator addition property of equality
Answers
Answer:
(C)Converting to a common denominator
Step-by-step explanation:
Given some of the steps in the derivation of the quadratic formula below:
[tex]\text{Step 3:} -c + \dfrac{b^2}{4a}=a(x^2+ \dfrac{b}{a}x+ \dfrac{b^2}{4a^2})\\\\\text{Step 4a:} -c + \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2\\\\\text{Step 4b:} \dfrac{-4ac}{4a}+ \dfrac{b^2}{4a}=a(x+\dfrac{b}{2a})^2[/tex]
Step 4b is derived from Step 4a by converting the left-hand side to a common denominator 4a.
Therefore, that which best explains or justifies Step 4b is:
(C)Converting to a common denominator
Answer:
C
Step-by-step explanation:
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PLZZZ DO THE PROBLEM THAT HAS THE ORANGE RECTANGLE PLZZZZZZZZZZZ!!!!!!
I WILL GIVE BRAINLIEST AND 10 MORE POINTS!!!!!
Answers
Answer:
8 units = L
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = L*W
If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L
56= l* 7
8= l
The length is 8 and we can check this doing 8*7 which is 56.
the points 4, 8 and 0, 0 fall on a particular line what is its equation in slope intercept form
Answers
Answer:
Y=2x
Step-by-step explanation:
Slope is represented by rise/run
Here if is 8/4 = 2
The intercept is 0 since (0,0) lies on the line
So the slope intercept form is
y = 2x
Answer:
y=2x
Step-by-step explanation:
intercept is 0 as one point is (0,0)
Slope is 2 as 8/4= 2
function is then:
y=2x
help meh fvghdbskjwdjcbhfvdcbjskalm
Answers
Answer:
D
Step-by-step explanation:
Proportional relationships go through the origin on the graph so we can eliminate A and B. Also the x and y coordinates have the same ratio so the answer is D because 2:3 = 4:6 = 8:12 = 12:18.
Number 2 and 3 please help me please I really need help I need help
Answers
Answer:2) 20cm
3) 90m
Step-by-step explanation: 2) 10x2=20cm
3) 35x2=70, 20x2=20, 70+20= 90m
Simplify fully
6x2 +x–1 4x2 – 1
Answers
Answer:
3x−1
Step-by-step explanation:
1 Split the second term in 6{x}^{2}+x-16x
2
+x−1 into two terms.
\frac{6{x}^{2}+3x-2x-1}{4{x}^{2}-1}
4x
2
−1
6x
2
+3x−2x−1
2 Factor out common terms in the first two terms, then in the last two terms.
\frac{3x(2x+1)-(2x+1)}{4{x}^{2}-1}
4x
2
−1
3x(2x+1)−(2x+1)
3 Factor out the common term 2x+12x+1.
\frac{(2x+1)(3x-1)}{4{x}^{2}-1}
4x
2
−1
(2x+1)(3x−1)
4 Rewrite 4{x}^{2}-14x
2
−1 in the form {a}^{2}-{b}^{2}a
2
−b
2
, where a=2xa=2x and b=1b=1.
\frac{(2x+1)(3x-1)}{{(2x)}^{2}-{1}^{2}}
(2x)
2
−1
2
(2x+1)(3x−1)
5 Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)a
2
−b
2
=(a+b)(a−b).
\frac{(2x+1)(3x-1)}{(2x+1)(2x-1)}
(2x+1)(2x−1)
(2x+1)(3x−1)
6 Cancel 2x+12x+1.
\frac{3x-1}{2x-1}
2x−1
3x−1
2x2 + 7x + 3 = 0 i need help
Answers
Answer:
[tex]x=-\frac{1}{2},-3[/tex]
Step-by-step explanation:
Answer:x=-3,-1/2
Step-by-step explanation:
Multiply 2and 3=6
Multiples are 6an1
2x2+x+6x+3=0
X(2x+1)+3(2x+1)=0
(X+3)+(2x+1)=o
X+3=0 x=-3
2x+1=0 x=-1/2
The Air conditioner unit in the classroom uses 120 volts. it requires 2000 watts of usage on the average, and it stays on for 8 hours every day. Find out the Amps, Watt hrs/Day, Watts hrs/yr, Kilowatt Hrs/Yr and cost/Yr if the cost of elelctricity per kilowatt is $0.25
Answers
Step-by-step explanation:
P = IV
2000 W = I (120 V)
I = 16.7 A
P = E/t
P = (2000 W × 8 hr) / (1 day)
P = 16,000 W·hr/day
P = 16000 W·hr/day × (365 day / yr)
P = 5,840,000 W·hr/yr
P = 5,840,000 W·hr/yr × (1 kW / 1000 W)
P = 5840 kW·hr/yr
C = 5840 kW·hr/yr × (0.25 $/kW/hr)
C = $1460/yr
3. Stan is deciding between patio tiles that are 39 cm by 39 cm and tiles that are 18 cm
by 27 cm. His patio is 3 m by 2.5 m. Considering area only, how many of each type
of tile would he need?
Answers
Answer:
Stan needs about 50 of the 39 cm x 39 cm tiles
or about 155 of the 18 cm x 27 cm tiles
Step-by-step explanation:
Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:
Patio area = 3 m x 2.5 m = 7.5 m^2
Now we consider what surface (in square meters - m^2) each type of tiles cover:
a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2
b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2
Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:
7.5 m^2 / 0.1521 m^2 = 49.3096 (about 50 tiles)
while for type "b" tiles the quotient gives:
7.5 m^2 / 0.0486 m^2 = 154.32 (about 155 tiles)
If angle X has a measure of 40 degrees and angle Y is vertical to angle X, what is the measure of angle Y? Show your work and explain how to solve.
Answers
Answer:
Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.
Answer:
50
Step-by-step explanation:
its simple just the degrees is equal orr close to that
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
Answer:
6
_____________________
Liner equation Melissa and Jane are planting trees Melissa plants 10 tree in 1 hour Jane plants 17 trees in 2 hours enter an equation that can be used to find the number of hours t t takes Melissa and Jane to plant 111 trees together
Answers
Answer:
6 hours
Step-by-step explanation:
What we must do is calculate the speed of each one,
Melissa in one hour plants 10 trees, that is 10/1 is her speed.
Jane in two hours plants 17 trees, that is 17/2 is her speed.
Now, we want to know the time it takes to plant 11 trees, so the sum of the previous speeds is equal to 111 / x
10/1 + 17/2 = 111 / x
18.5 = 111 / x
x = 111 / 18.5
x = 6
Which means that in 6 hours between the two they can plant 111 trees
for the Black Panther trip 420 students were scheduled to go. After selecting more parents surveys 15% more students are going on the trip each Administration ticket cost 22.75 dollars what was the total amount pay for all the tickets purchased
Answers
Answer: $10988.25
Step-by-step explanation:
From the question, we are told that for the Black Panther trip 420 students were scheduled to go and 15% more students were selected. This means that the total number of students that are going will be:
= 420 + (15% × 420)
= 420 + (0.15 × 420)
= 420 + 63
= 483 students
Since each administration ticket cost 22.75 dollars. The total amount paid for all tickets purchased will be:
= 483 × $22.75
= $10988.25
pls answer this question for the 5-star rating
Answers
Answer:
B(3,3)
Step-by-step explanation:
Midpoint = (2,5)
A = (x₁,y₁) = (1,7)
M(x,y) = [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2})[/tex]
M(2,5) = [tex](\frac{1+x2}{2} , \frac{7+y2}{2} )[/tex]
Writing the equations separately for convenience
1) [tex]\frac{1+x2}{2} = 2[/tex]
=> 1+x2 = 4
=> x₂ = 3
2) [tex]\frac{7+y2}{2} =5[/tex]
=> 7+y2 = 10
=> y₂ = 3
So, the coordinate is,
B = (x₂,y₂) = (3,3)
Answer:
(3,3)
please see the attached picture for full solution
hope it helps..
Good luck on your assignment
a square has a diagonal of 16 yards. Find it’s perimeter
Answers
Answer:
45.25 yards
Step-by-step explanation:
Terry makes $2400 per month in gross income. His net earnings are 80% of his gross. His utility bills total $150. What percentage of Terry's net earnings is he spending on utilities?
Answers
Answer:
7.81%
Step-by-step explanation:
First, you have to calculate the net earnings by calculating the 80% of the gross income:
gross income= $2,400
net earnings= $2,400*80%= $1,920
Then, you have to calculate the percentage that represents the utility bills spending from the net earnings by dividing $150 by the net earnings and multiplying for 100:
($150/$1,920)*100= 7.81%
According to this, the answer is that 7.81% of Terry's net earnings are spent on utilities.
Answer:
7.8
Step-by-step explanation:
Which expression is equivalent to - 32 ^ (3/5)
Answers
The answer is -8
This was too easy
What is the surface area?
22 yd
25 yd
17 yd
Answers
Answer:
2698 yd^2
Step-by-step explanation:
2·(22x25 + 22x17 + 25x17) = 2698 yd^2
SA = 2(LW) + 2(LH) + 2(HW)
Let L = Length
Let W = Width
Let H= Height
Someone help me with #2 and #3
Answers
Answer:✈️✈️?
Step-by-step explanation:
Answer:
#2=-.05 #3=8
Step-by-step explanation:
use pemdas correctly and you will always get the right answer
What is the length of the hypotense,c?
26 m
29 m
34 m
36 m
Answers
Answer:
Choice C
Step-by-step explanation:
Using the Pythagorean theorem, you can find that the length of the hypotenuse is:
[tex]\sqrt{3^2+5^2}=\\\\\sqrt{9+25}=\\\\\boxed{\sqrt{34}}[/tex]
Hope this helps!
Answer:
[tex]c=\sqrt{34}[/tex]
Step-by-step explanation:
Using the Pythagorean theorem (a^2 + b^2 = c^2), you can find the hypotenuse
Begin by plugging in 3 into a and 5 into b.
3^2 + 5^2 = c^2
9 + 25 = c^2
34 = c^2
Then, take the square root of both sides.
[tex]\sqrt{34} =\sqrt{c^{2} }[/tex]
[tex]c=\sqrt{34}[/tex]
Let f(x) = x2 and g(x) = x − 3. Evaluate (g ∘ f)(0).
Answers
Answer:
-3
Step-by-step explanation:
[tex]f(0)=0^2=0 \\\\g(0)=0-3=-3[/tex]
Hope this helps!
Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answers
Answer:
economy class = 260
business class = 100.
Step-by-step explanation:
for every 13 economy seats, there are 5 business class seats
EC = 13
BC = 5
ADD to get total = 18
divide 360 by 18 to get the number of groups created.
you get 20.
multiply 20 by each class seats
13 by 20 = 260
5 by 20 = 100
you can confirm by adding the seats to see if you will get 360.
Brainliest question please help me please
Answers
9514 1404 393
Answer:
34.44
Step-by-step explanation:
The distance formula can help you find the lengths of the diagonal sides.
d = √((x2 -x1)^2 +(y2 -y1)^2)
DO = √((6 -0)^2 +(0 -7)^2) = √(36 +49) = √85
OG = √((3 -6)^2 +(-4 -0)^2) = √(9 +16) = 5
The length of NG is 3 -(-3) = 6.
The perimeter is the sum of the side lengths:
P = DI +IN +NG +GO +OD = √85 +5 +6 +5 +√85 = 16 +2√85
P ≈ 34.43909 ≈ 34.44 . . . units
It takes Virginia 9 minutes to ride her skateboard 3 blocks.
Using this unit rate, how many minutes will it take Virginia to ride her skateboard 1 block?
Answers
Answer:
3 minutes
Step-by-step explanation:
We can use ratios to solve
3 blocks 1 block
----------------- = --------------
9 minutes x minutes
Using cross products
3 * x = 9*1
3x = 9
Divide each side by 3
3x/3 = 9/3
x = 3
So the right answer is 3.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
The bill for a meal was $33.75. The customer left $40.00. What percentage of the bill was the tip?
Answers
Answer:
It was a 18.5% Tip
If bill for a meal was $33.75. The customer left $40.00. then 15.625 % is the percentage of the bill was the tip
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The bill for a meal was $33.75.
The customer left $40.00.
We need to find the percentage of tip left on the bill.
40-33.75
6.25
Now we need to find 6.25 is what percentage of 40
40x=6.25
x=6.25/40
x=0.15625
Now multiply with 100
0.156×100=15.625
Hence, 15.625 is the percentage of the bill was the tip.
To learn more on Percentage click:
https://brainly.com/question/28269290
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An expression is given: x(-1.8-6y) Use the distributive property to expand the expression.
Answers
Answer:
-1.8x-6xy
Step-by-step explanation:
The distributive property is one of the properties of real numbers
Mathematically, we can have it expressed as follows;
a •(b+ c) = a•b + a•c
Thus, applying this to the problem at hand, we have;
x(-1.8-6y) = x •(-1.8) - x•(6y)
Opening the brackets we have;
-1.8x-6xy