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
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
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
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]
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
_____________________
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
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
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]
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:
lol
Which expression is equivalent to - 32 ^ (3/5)
Answers
The answer is -8
This was too easy
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
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.
a square has a diagonal of 16 yards. Find it’s perimeter
Answers
Answer:
45.25 yards
Step-by-step explanation:
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
#SPJ2
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
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!
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.
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
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
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
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:
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.
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
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
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
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)
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
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
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
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.
