Answer:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Step-by-step explanation:
The question is poorly formatted. The original question is:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
We have:
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7[/tex]
Open bracket
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^{3* \frac{2}{3}}) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(8^ \frac{2}{3} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 8 as 2^3
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^{3* \frac{2}{3}} *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =(2^2 *x^2) \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}[/tex]
Express 2^3 as 8
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{75x^3} + 8\sqrt{ 3x^7}[/tex]
Expand each exponent
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2 *3x} + 8\sqrt{ 3x * x^6}[/tex]
Split
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7}=4x^2 \sqrt{25x^2} *\sqrt{3x} + 8\sqrt{3x} * \sqrt{x^6}[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =4x^2 *5x *\sqrt{3x} + 8\sqrt{3x} * x^3[/tex]
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =20x^3\sqrt{3x} + 8x^3\sqrt{3x}[/tex]
Factorize
[tex](8x^3)^ \frac{2}{3} \sqrt{75x^3} + 2^3 \sqrt{ 3x^7} =28x^3\sqrt{3x}[/tex]
Answer:
42x^2 ^3 square root 3x
Step-by-step explanation:
i got it right
A ball thrown in the air has a height of y = - 16x² + 50x + 3 feet after x seconds. a) What are the units of measurement for the rate of change of y? b) Find the rate of change of y between x = 0 and x = 2?
Answer:
a)[tex]ms^{-1}[/tex]
b)[tex]71ms^{-1}[/tex]
Solution:
a)
we are finding the derivative from position to velocity thus
units = [tex]ms^{-1}[/tex]
b)
[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]
Which statement correctly compares the graph of function g with the graph of function f?
Answer:its a or c hope it helps i
Step-by-step explanation:
Answer:
It is a vertical COMPRESSION
Step-by-step explanation:
"The graph of function g is a vertical compression of the graph of function f"... I just took the test. It's NOT B. Hope this helps!
A bag contains 2 red marbles, 4 blue marbles and 8 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be blue?
Answer:
Step-by-step explanation:
the odds are 4 in 11
Help plz I don’t remember the right one
Answer:
midpoint
Step-by-step explanation:
the midpoint divides a segment into two equal parts
Answer:
midpoint of the answer
Step-by-step explanation:
midpoint means middle point. thus the line is divided in 2 equal parts
Need help it’s due very soon and show work please ASAP !!?
Answer:
The volume of the cylinder is 125.664 cubic inches, without rounding off
help! f(x)=x^2 what is g(x)
Answer:
C.) g(x) = 3x^2
03.
(a)
Multiply out
3(2x-7)
Answer
Answer: -42 is the answer.
Please no links Find the value of x and TQ
Answer:
www.//.thehub.com./..
pls help due 30 mins
Answer:
5.7
Step-by-step explanation:
cos 18° = x / 6
0.9511 =x / 6
cross multiply
x = 5.70666
To 1 decimal place
ANSWER = 5.7
Have a nice day !
Answer:
5.7 =x
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos 18 = x /6
6 cos 18 = x
5.706339098 =x
Rounding to the nearest tenth
5.7 =x
help me pls on these
Answer:
first one is A) 21
second one is D) 150
Step-by-step explanation:
first one : add all marbles = 10
there are 3 red
chances of picking a red 3/10 or 30 percent or .3
multiple 70 by .3 and get 21
second one:
A = 6[tex]a^{2}[/tex] (Surface area of cube)
600 = 6[tex]a^{2}[/tex]
a = 10
half of 10 is 5
6([tex]5^{2}[/tex]) = 150
a box contains 12 blue, 10 gray and 18 white mask. a mask is taken at random from the box. what is the probability that it is:
a.blue ans.
b.white ans.
c.gray ans.
d.pink ans.
Answer:
B.white
Step-by-step explanation:
They are more white mask.
The area of the given rectangle is 63 sq m. One of the side is 9 m, then the missing side of the given rectangle will be
Answer:
7 m
Step-by-step explanation:
63/9=7 and 7*9=63
Answer: 7.
Step-by-step explanation:
Divide 63 and 9 and you get 7. Remember, length times width equals area.
can someone help please
Answer:
isn't it b i remember doing something almost the same as this
Answer:
24
Step-by-step explanation:
f(4) means you plug the 4 into the equation so 4 x 4= 16
then 3(4)= 12
16+12-4=24
The perimeterof a squareis 20 feet.
What is the area of the square?
Answer:
C. 25 ft²
Step-by-step explanation:
the length of side = 20/4 = 5 ft
so the area of the square = 5² = 25 ft²
Answer:
C: 25 ft2
Step-by-step explanation:
Perimeter is the factor of all the side lengths added together. If 4 equal sides added together equals 20, what times 4 equals 20? 5 times 4 equals 20. Which means the side length is 5. Area is side length x side length, so 5 x 5=25 so the answer is C hope this helps!
Find the radical equivalent of 2723 and compute it.
ASAP PLS
If someone could help that would be great. Brainliest and thanks!
Answer:
D does not show an equivalent rate
Step-by-step explanation:
we first need to find out how many words typed per minute so we divide 75 by 3 (3 divided by 3 is 1 and what we do to one side must be done to the other)
75 ÷ 3 = 25
25 word per 1 minute
now we need to multiply the minute by 25 to get the number of words typed
25(words) x 1(minute) = 25 words in 1 minute(so A is correct)
25(words) x 2(minute) = 50 words in 2 minutes(so B is correct)
25(words) x 4(minute) = 100 words in 4 minutes (so C is correct)
25(words) x 5(minute) = 125 words in 5 minutes(so D is incorrect)
Geometry geometry help
Answer:
x = 32
Step-by-step explanation:
The sum of all interior angles of this pentagon is 540
Solve for x by using this formula
540 = (180-71)+(180-85)+(180-44)+(180-3x)+(180-2x)
540 = 700 - 5x
540 - 700 = -5x
-160 = -5x
-160/-5 = x
32 = x
8 = 3a + 4...Anyone know the answer??
Answer:
8 = 3a + 4
4=3a
4/3=a
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
a = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
To solve for a, you must isolate it (variables on one side, constants on the other):
8 = 3a + 4 (starting equation)
8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)
4 = 3a + 0 (calculate)
4 = 3a (no need to write +0)
[tex]\frac{4}{3}[/tex] = [tex]\frac{3a}{3}[/tex] (divide both sides by 3)
[tex]\frac{4}{3}[/tex] = a (simplify -- 3/3 = 1)
So, a = [tex]\frac{4}{3}[/tex].
given AB is a diameter, find the measure of
Answer:
Angle BCA = 90
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter as it's hypotenuse is a right triangle
Where the angle opposite of the hypotenuse ( or diameter ) is the right angle
Angle BCA is the angle opposite of the diameter
Hence BCA = 90
Out of 260 racers who started the marathon, 235 completed the race, 17 gave up, and 8 were disqualified. What percentage did not complete the marathon? Round your answer to the nearest tenth of a percent.
Answer:
9.6% or 9.7% did not finish
Step-by-step explanation:
You can solve this 2 different ways:
First way: 17+8=25, so 25 out of 260 did not complete. 25/260=0.096, or 9.6% did not finish.
Second way: 235 out of 260 finished. 235/260=0.903, or 90.3% finished. 100-90.3= 9.7, which is almost exactly equal to our first answer.
They can't be the same because 25/260 and 235/260 are very random decimals, so the answer is 9.6% to 9.7% :)
find the hight of the tree to the nearest hundredth of a meter
Answer:
4.12m
Step-by-step explanation:
(distance of whole shadow - distance of Aisha from tree)
17.95-12.5=5.45m
17.95/5.45=3.29...(scale factor)
3.29...*1.25=4.12m(to the nearest hundredth)
At the end of last year, the population of Alice's hometown
was approximately 90,000 people. The population is growing
at of 2.3% each year. Which function models the growth of
this city?
O y = 90000 (2.3)x
O y = 90000 (1.023)x
O y = 90000 (0.977)x
O y = 90000 (1.23)x
Answer:
y = 90000 (1.023)^x
a + x = -3 với a = 5 . Tìm x
Answer:
the answer is if a=5
than, 5+x=-3
or,x=-3-5
therefore x=-8
Answer:
[tex]x = - 8[/tex]
Step-by-step explanation:
[tex]a + x = - 3[/tex]
[tex]5 + x = - 3[/tex]
[tex] x = - 3 - 5[/tex]
[tex]x = - 8[/tex]
Hope it is helpful...What is this expression in simplest form? (x+2)/(4x^2+5x+1) * (4x+1)/(x^2-4)
Answer:
below
Step-by-step explanation:
that is the solution above
The simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
What is Algebraic expression?An algebraic expression (or) a variable expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.
Here, given expression;
[tex]\frac{x+2}{4x^2+5x+1} X \frac{4x+1}{x^2-4}[/tex]
[tex]\frac{x+2}{4x^2+4x +x+1} X \frac{4x+1}{x^2-2^2}[/tex]
[tex]\frac{x+2}{4x(x+1)+1(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{x+2}{(4x+1)(x+1)} X \frac{4x+1}{(x+2)(x-2)}[/tex]
[tex]\frac{1}{(x+1)(x-2)}[/tex]
Thus, the simplest form of the given expression is [tex]\frac{1}{(x+1)(x-2)}[/tex].
Learn more about Algebraic expression from:
https://brainly.com/question/953809
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If the probability that a person will die in the next year is 593/100000
What is the probability that the person will not die in the next year?
Answer:
99407/100000
Step-by-step explanation:
100000 - 593 = 99407
tina baked 552 chocolate chip cookies. she placed these cookies into boxes each contain 6 cookies. if she sell each box for $50, how much is the total sales?
Which shape has two right angles and at least one obtuse angle? WILL GIVE BRAINLIEST ASAP:)
The trapezoid has two right angles and at least one obtuse angle, the correct option is B.
What is the obtuse angle?A obtuse angle is an angle which is greater than 90° and less than 180°.
A right trapezoid (also called right-angled trapezoid) has two adjacent right angles.
Right trapezoids are used in the trapezoidal rule for estimating areas under a curve.
An acute trapezoid has two adjacent acute angles on its longer base edge, while an obtuse trapezoid has one acute and one obtuse angle on each base.
Hence, the trapezoid has two right angles and at least one obtuse angle.
Learn more about trapezoid here;
https://brainly.com/question/1677597
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¿ cuál será el volumen de una pirámide hexagonal si las aristas de la base miden 8cm, la apotema vale9.93cm y su altura es de 28cm?
Answer:
2224.32 cm³
Step-by-step explanation:
La fórmula para el volumen de una pirámide hexagonal = 1/3 (1/2 × P × a) × h
Donde a = Apotema = 9,93 cm
P = Perímetro =
Pirámide hexagonal = 6 × Bordes de la base = 6 × 8 cm = 48 cm
h = Altura = 28 cm
Por eso,
Volumen de la pirámide hexagonal = 1/3 (1/2 (48 × 9.93) × 28 cm
= 1/3 × 238.32 × 28 cm
= 2224.32 cm³
Volumen de la pirámide hexagonal = 2224.32 cm³
An aquarium holds 11.81 cubic feet of water, and is 2.8 feet long and 1.7 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
2ft
Step-by-step explanation:
Depth = volume / ( length x width)
11.81 / (2.8 x 1.7)
11.81 / 4.76
depth = 2.48
2 ft (to the nearest whole number)
The gardern is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed. The rest of the area is lawn. Pete sprays the lawn. The spray cost 0.35 per 3m2
Given :
The garden is 12m by 10m. 15% of the total area is gardern patch and 3/8 is a flowerbed.
Solution :
Area of lawn = Area of garden - area of garden patch - area of flowerbed.
[tex]A = 12\times 10 - 12\times 10 \times 0.15 - \dfrac{3}{8} \times 12 \times 10\\\\A = 57 \ m^2[/tex]
Total cost of spray is given by :
[tex]Total \ cost =Total\ area \times cost \ per \ area\\\\T = 57 \times \dfrac{0.35}{3} \\\\T = \$6.65[/tex]
Hence, this is the required solution.