What is the following simplified product? Assume x 0.
(sqrt6x^2+4sqrt8x^3)(sqrt9x-xsqrt5x^5)
Answers
Answer:
c
Step-by-step explanation:
Keep in mind, whatever is inside of the square root, stays inside of the square root, and whatever is outside, stays outside, they don't multiply together. With parenthesis, exponents multiply, if there's no parenthesis, the exponents don't multiply. In this case, the exponents add.
Multiply each one together:
sqrt(6x^2) x sqrt(9x) = sqrt(54x^3)
sqrt(6x^2) x -(x sqrt(5x^5)) = -x sqrt(30x^7)
4 sqrt(8x^3) x sqrt(9x) = 4 sqrt(72x^4)
4 sqrt(8x^3) x -(x sqrt(5x^5)) = -4x sqrt(40x^8)
Then simplify:
sqrt(54x^2) = 3x sqrt(6x)
x sqrt(30x^7) = -x^4 sqrt(30x)
4 sqrt(72x^4) = 24x^2 sqrt(2)
-4x sqrt(40x^8) = -8x^5 sqrt(10)
Related Questions
18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answers
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
A number is between 63 and 68 It has prime factors of 2 and 11 whats the number
Answers
Answer:
66
Step-by-step explanation:
66 is the only number between 63 and 68 that is divisible by both 2 and 11.
66/2=33 66/11=6
help plssssssssssssssssss
Answers
Answer:
Diagonal and horizontal lines
Step-by-step explanation:
To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.
Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.
This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.
a parking garage charges $4 for the first hour and $1.50 for each additional hour. sydney has 13$ in her purse
Answers
Answer:
7 hours
Step-by-step explanation:
Answer:
she could park there for 7 hours
Step-by-step explanation:
13-4=9 9/1.50=6
The question in the picture
Answers
1/27
Explanation:
You would multiply to get to the answer.
5x + 3y = 41
2x + 3y = 20
show me step by steps how to do this
Answers
The answers are:
x = 7y = 2Step-by-step explanation:5x + 3y = 41
2x + 3y = 20
=> 5x + 3y = 41-2x - 3y = -20
=> 3x = 21=> x = 7=> 5(7) + 3y = 41=> 35 + 3y = 41=> 3y = 41 - 35=> 3y = 6=> y = 2Conclusion:Therefore, the answers are:
x = 7y = 2Hoped this helped
[tex]-BrainiacUser1357-[/tex]
Answer:
Step-by-step explanation:
It looks like you need to solve this system of equations.
That means we need to find a value for x and a value for y that makes both equations true.
Since both equations have a 3y in them, this system is ready to use a method called "elimination method"
Since the x terms are lined up, and the y terms are lined up, the equal signs are lined up, and the constants are lined up...you can subtract the bottom equation from the top equation.
5x + 3y = 41
2x + 3y = 20
Subtract and you will get
3x + 0y =21
We don't need to write that 0y, because it is 0.
3x = 21, now divide by 3
x = 7, almost finished!
Use x = 7 in either of the original equations to find y.
5x + 3y = 41 and x = 7
5•7+ 3y = 41
35 + 3y = 41
-35 -35
3y =6
y = 2
So the solution is x=7 and y=2
That can also be written as an ordered pair (7, 2)
what is the point slope equation of the line that has a slope of 1/8 and goes through the point (2,-3)
Answers
Answer:
Step-by-step explanation:
(y + 3) = (1/8)(x - 2)
It takes cadence 36 hours to read 12 books. Write a unit rate that models the situation.
Answers
Answer:
three hours every 1 book
Step-by-step explanation:
36-12
6-2
3-1
Indira was measuring the length of her school's hallway. The first part of the hallway
was 132 inches long. The next part was 3 yards long. How long is the hallway in
feet?
Answers
Answer:
132 in /12 in/ft + 3 yd(3ft/yd) = 11 + 9 = 20 ft
Step-by-step explanation:
Answer:
20 ft
Step-by-step explanation:
12 inches = 1 foot
12 : 1 = 132 : y
[tex]\frac{132:y}{12:1}[/tex]
12 × y = 132 × 1
12y = 132
12y ÷ 12 = 132 ÷ 12
y = 11
11 ft
1 yard = 3 feet
1 : 3 = 3 : y
[tex]\frac{1:3}{3:y}[/tex]
1 × y = 3 × 3
1y = 9
y = 9
9 ft
11 ft + 9ft = 20 ft
A cylinder with a diameter of 10 inches and a height of 12 inches. Determine the area of the cross section formed by slicing the cylinder down the center and perpendicular to the bases.
Answers
Answer:
188.571
if you did directly answer may differ
Step-by-step explanation:
you can see it from the picture above
The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.
What is a cylinder?"A cylinder is a three-dimensional solid that holds two parallel bases joined by a curved surface, at a fixed distance".
For the given situation,
The diameter of the cylinder, d = 10 inches
The height of the cylinder, h = 12 inches
The area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is a rectangle.
So, the length of the rectangle, l = 12 inches.
The breadth of the rectangle, b = 10 inches
The formula for the area of the rectangle is A= l × b
⇒ [tex]A=12[/tex] × [tex]10[/tex]
⇒ [tex]A=120[/tex]
Hence we can conclude that the area of the cross-section formed by slicing the cylinder down the center and perpendicular to the bases is 120 square inches.
Learn more about cylinders here
https://brainly.com/question/23653983
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Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.
5 increased by half a number is 11.
a.
5 + 0.5n = 11
n = 12
c.
5(0.5n) = 11
n = 4.4
b.
5n + 0.5 = 11
n = 2.1
d.
5n +0.5 = 11
n = 12
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
the answer is A)5+0.5n=11
Step-by-step explanation:
5 is increased by half a number, so half of. a number(n) is added to 5
Answer:
D is correct
Step-by-step explanation:
I hope this helps
5 increased by half a number is 11.
5 increased by half a number is 11. 5 + 1/2n = 11 where n is the unknown number. 1/2n = 11 - 5 = 6 n = 6 * 2 = 12 The number is 12.
From the graph, which statement is correct if x^2 – 13x + 22 ≤ 0?
A) 2 ≤ x ≤ 11
B) –11 ≤ x ≤ –2
C) x ≤ 2 or x ≥ 11
D) x ≥ 2 or x ≤ 11
please only reply if you know the answer!!
Answers
Answer:
a
Step-by-step explanation:
(x-2)(x-11) less than or equal to 0
which means x is between 2 and 11 when it is less than 0
3x+4y+6z=15
Solve for x.
Answers
Answer:
[tex]x = 5 - \frac{4}{3} y - 2z [/tex]Step-by-step explanation:
Question:-To solve for xEquation:-3x + 4y + 6z = 15Solution:-=> 3x + 4y + 6z = 15
[On subtracting both sides with 4y]=> 3x + 4y + 6z - 4y = 15 - 4y
[On Simplification]=> 3x + 6z = 15 - 4y
[On subtracting both sides with 6z]=> 3x + 6z - 6z = 15 - 4y - 6z
[On Simplification]=> 3x = 15 - 4y - 6z
[On dividing both sides with 3][tex] = > \frac{3x}{3} = \frac{15 - 4y - 6z}{3} [/tex]
[On Simplification][tex] = > x = 5 - \frac{4}{3} y - 2z \: (ans)[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{QUESTIONS:}[/tex]
3x+4y+6z=15 Solve for x.[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{ANSWER:}[/tex]
[tex]x = 5 - \frac{4}{3} y - 2z[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
[tex]\huge\bold\orange{SOLUTION:}[/tex]
[tex]3 \orange{+ 4y + 6z = 15}[/tex]
Move the variables to the right-hand side and change their signs.
[tex]3x = 15 \orange{ - 4 - 6z}[/tex]
Divide both sides of the equation by 3
[tex]\orange{3x = 15 - 4 - 6z}[/tex]
[tex]↓[/tex]
[tex]\orange{x = 5 - \frac{4}{3} y - 2z}[/tex]
The x-intercepts of 3x+4y+6z=15 is
[tex]x = 5 - \frac{4}{3} y - 2z[/tex]
[tex]\orange{••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]
#CarryOnlearning
Please please help me
Answers
[tex]1)3k - 2k \\ = k(3 - 2) \\ = k(1) \\ = k[/tex]
[tex]2) {5x}^{2} - 10x - {8x}^{2} + x \\ = {5x}^{2} - {8x}^{2} - 10x + x \\ = - 3 {x}^{2} - 9x \\ = - 3x(x - 3)[/tex]
[tex]3) - (m + n) + 2(m - 3n) \\ = - m - n + 3m - 6n \\ = - m + 2m - n - 6n \\ = m - 7n [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.
Answers
Answer:
ur mom
Step-by-step explanation:
ur mom + 3= 69
The volume of the storage tank to the nearest hundredth is 2840.04 m³.
Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.
The volume of a cone formula is 1/3 πr²h.
Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula
That is, 1/3 × 3.14 × (10.7)² × 23.7
= 2840.0389 m³
≈ 2840.04 m³
Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.
To learn more about the volume of a cone visit:
https://brainly.com/question/1984638.
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Solve the equation for solutions over the interval [0°, 360°).
[tex]tan^{2}x + 7 tanx +8 =0[/tex]
Answers
Answer:
[tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]
Step-by-step explanation:
[tex]tan^2x+7tanx+8=0,[0^{\circ},360^\circ)[/tex]
[tex]tan^2x+7tanx+8=0[/tex]
[tex]u=tanx[/tex] <-- U-substitution
[tex]u^2+7u+8=0[/tex]
[tex](u+7)(u+1)=0[/tex]
[tex](tanx+7)(tanx+1)=0[/tex] <-- Replace u with tanx
[tex]tanx+7=0[/tex]
[tex]tanx=-7[/tex]
[tex]x=98.13^\circ,278.13^\circ[/tex]
[tex]tanx+1=0[/tex]
[tex]tanx=-1[/tex]
[tex]x=135^\circ,315^\circ[/tex]
Therefore, [tex]x=98.13^\circ,135^\circ,278.13^\circ,315^\circ[/tex]
Use the Distributive Property to write an expression that is equivalent to 6(p+q).
Answers
Multiply 6 x p and 6 x q and add them
Answer : 6p+6q
The Distributive Property shows that 6(p + q) is equivalent to 6p + 6q
The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. It is given by:
a(b + c) = ab + ac
Given the expression:
6(p + q)
Using the distributive property:
= 6p + 6q
Find out more on distributive property at: https://brainly.com/question/2807928
please helppppppppppppp ASAP. please ensure to use step by step explanation. thanks.
Answers
I'll do the first two parts to get you started.
=====================================================
Part (i)
We can show that the operation [tex]\nabla[/tex] is not commutative by picking two random and different real numbers for a,b. In other words, I'm using a counter-example.
Let's say we go for a = 1 and b = 2
[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\1 \nabla 2 = \frac{3*1+2}{5} - 1\\\\1 \nabla 2 = \frac{5}{5} - 1\\\\1 \nabla 2 = 1 - 1\\\\1 \nabla 2 = 0\\\\[/tex]
Now let's swap the values. We'll try a = 2 and b = 1
[tex]a \nabla b = \frac{3a+b}{5} - 1\\\\2 \nabla 1 = \frac{3*2+1}{5} - 1\\\\2 \nabla 1 = \frac{7}{5} - 1\\\\2 \nabla 1 = 1.4 - 1\\\\2 \nabla 1 = 0.4\\\\[/tex]
We can see that [tex]1 \nabla 2[/tex] and [tex]2 \nabla 1[/tex] are not the same value. In general, [tex]a \nabla b \ne b \nabla a[/tex] Therefore, the operation [tex]\nabla[/tex] is not commutative.
The only time [tex]a \nabla b = b \nabla a\\\\[/tex] is true is when [tex]a = b[/tex], since,
[tex]\frac{3a+b}{5}-1 = \frac{3b+a}{5}-1\\\\\frac{3a+a}{5}-1 = \frac{3a+a}{5}-1\\\\\frac{4a}{5}-1 = \frac{4a}{5}-1\\\\[/tex]
It's when [tex]a \ne b[/tex] is where the operation becomes noncommutative.
Another way to arrive at the [tex]a = b[/tex] condition is to solve the original equation for either 'a' or b.
=====================================================
Part (ii)
Using the previous part as inspiration, we'll do a counter-example to show that the operation is not associative. Pick 3 random values for a,b,c. Here are the values I'll pick.
a = 1b = 2c = 3Then,
[tex]d = b \nabla c = \frac{3b+c}{5}-1 = \frac{3*2+3}{5}-1 = 0.8\\\\a \nabla (b \nabla c) = a \nabla d = \frac{3a+d}{5}-1 = \frac{3*1+0.8}{5}-1 = -0.24\\[/tex]
Next, we can say:
[tex]d = a \nabla b = \frac{3a+b}{5}-1 = \frac{3*1+2}{5}-1 = 0\\\\(a \nabla b) \nabla c = d \ \nabla c = \frac{3d+c}{5}-1 = \frac{3*0+3}{5}-1 = -0.4[/tex]
Let's compare the two outputs:
[tex]a \nabla (b \nabla c) = -0.24\\\\(a \nabla b) \nabla c = -0.4[/tex]
They don't match up, so [tex]a \nabla (b \nabla c) \ne (a \nabla b) \nabla c[/tex] when (a,b,c) = (1,2,3).
In general, the operation is not associative in R.
Ratio. Proportion and many method d) 15 workers were employed to complete a piece of work in 36 days. How many more workers should be added to complete the work in 30 days?
Answers
Answer:
Step-by-step explanation:
total of 15(36) = 540 person•hours was used
540 / 30 = 18 people
18 - 15 = 3 people need to be added
2
Which of the following is equal to 4
+31;
?
3
2
WIN
04 3
X 3.
1
14 2
X
3 7
14
X
72
3
42 2
X
3 31
Answers
Answer:
1428485748586384858858
12. Graph each using graph paper:
X<5
Answers
Answer:
Step-by-step explanation.
Find the area of the composite figure.
Next, find the area of the parallelogram.
Triangle
Area = 77 cm
7 cm
Parallelogram
Area = [?] cm2
9 cm
Total Area of
Composite Figure = [ 1 cm2
22 cm
Answers
Answer:
Step-by-step explanation:
trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:
area_trapezoid1.gif or area_trapezoid2.gif
Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.
Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.
The sum of 21 and n is equal to 43.23
please help me!!!
I’ll give out 30 points!!!
Answers
Process to find n
21+n=43.23
Subtract 21 from both sides
n=22.23
Answer:
n=22.23
Step-by-step explanation:
21+n=43.23
-21 to both sides
0+n=22.23
n=22.23
identify a potential sustainable agriculture practice to reduce the impact of the large-scale intensive agriculture on
Answers
Answer:
Focus on planting trees and and getting healthier soil, improve energy efficiency and not use so much pesticides using natural ways to plant things.
Step-by-step explanation:
What is the answer to the question
Answers
Answer:
1/1
Step-by-step explanation:
If you connect the points where Muntinlupa City and Teresa, Rizal are located, what is the slope of the line formed from the two given places?
Answers
Using it's formula, it is found that the slope of the line formed from the two given places is of [tex]\mathbf{\frac{6}{7}}[/tex]
Given two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope is given by change in y divided by change in x, that is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this problem:
Muntinlupa is at (-1,-4);Teresa, Rizal is at (6,2).Hence, applying the formula for the slope, considering [tex](x_1, y_1) = (-1, -4)[/tex] and [tex](x_2,y_2) = (6,2)[/tex]:
[tex]m = \frac{2 - (-4)}{6 - (-1)} = \frac{6}{7}[/tex]
The slope is of [tex]\mathbf{\frac{6}{7}}[/tex]
A similar problem is given at https://brainly.com/question/5427529
Rewrite the quadratic function f(2) = 5x2 + 10x – 8 in standard form, f(x) = a (x – h)? + k, and give the vertex.
Answers
Answer: [tex]f(x) = 5(x+1)^{2} - 13[/tex]
Vertex = (-1, -13)
Step-by-step explanation:
[tex]f(x) = 5x^{2} + 10x - 8\\f(x) = 5(x^{2}+2x)-8\\f(x) = 5(x^{2}+2x+1-1)-8\\f(x) = 5((x+1)^{2}-1)-8\\f(x) = 5(x+1)^{2}-5-8\\f(x) = 5(x+1)^{2}-13[/tex]
Vertex = (h, k) = (-1, -13)
Help help math math math
Answers
Answer:
Yes, this is a function
Step-by-step explanation:
You know this because it passes the vertical line test.
I hope this helps!
Answer:
Function
Step-by-step explanation:
A 20 cm long thin wire is used to form a square. What is the area of the square?
Answers
Answer:
25cm^2
Step-by-step explanation:
A square has 4 equal sides so each side will be 20/4 = 5cm
Easily calculate the area by taking 5 x 5 = 25cm^2
A ball is thrown vertically upward with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is
Answers
if we can assume the ball is being thrown from the ground upwards, then we can say that the inital height of it is 0, whilst its initial velocity is 80 ft/s, thus
[tex]~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&80\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&0\\ \qquad \textit{of the object}\\ h=\textit{object's height}\\ \qquad \textit{at "t" seconds} \end{cases} \\\\\\ h(t)=-16t^2+80t+0\implies h(t)=-16t^2+80t[/tex]