For this case we must multiply the following expression:
[tex]\sqrt [3] {x ^ 2} * \sqrt [4] {x ^ 3}[/tex]
By definition of properties of otencias and roots we have:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
We rewrite the terms of the expression:
[tex]\sqrt [3] {x ^ 2} = (x ^ 2) ^ {\frac {1} {3}} = (x ^ 2) ^ {\frac {4} {12}}\\\sqrt [4] {x ^ 3} = (x ^ 3) ^ {\frac {1} {4}} = (x ^ 3) ^ {\frac {3} {12}}[/tex]
So, we have:
[tex](x ^ 2) ^ {\frac {4} {12}} * (x ^ 3) ^ {\frac {3} {12}} =[/tex]
Applying the above definition we have:
[tex]\sqrt [12] {(x ^ 2) ^ 4} * \sqrt [12] {(x ^ 3) ^ 3} =[/tex]
We multiply the exponents:
[tex]\sqrt [12] {x ^ 8} * \sqrt [12] {x ^ 9} =[/tex]
We combine using the product rule for radicals.
[tex]\sqrt [12] {x ^ 8 * x ^ 9} =[/tex]
By definition of multiplication properties of powers of the same base, we put the same base and add the exponents:
[tex]\sqrt [12] {x ^ {8 + 9}} =\\\sqrt [12] {x ^ {17}} =\\\sqrt [12] {x ^ {12} * x ^ 5} =\\x \sqrt [12] {x ^ 5}[/tex]
Answer:
Option C
Answer:
its c
Step-by-step explanation:
Answer this question thanks
First subtract 17 to both sides (what you do on one side you must do to the other). Since 17 is being added, subtraction (the opposite of addition) will cancel it out (make it zero) from the left side and bring it over to the right side.
p + 17 - 17 < 19 - 17
p + 0 < 2
p < 2
For the graph will you have a empty or colored in circle?
If the symbol is ≥ or ≤ then the circle will be colored in. This represents that the number the circle is on is included.
If the symbol is > or < then the circle will be empty. This represents that the number the circle is on is NOT included.
Which direction will the ray go?
If the variable is LESS then the number then the arrow will go to the left of the circle.
If the variable is MORE then the number then the arrow will go to the right of the circle.
In this case your inequality is:
p < 2
aka p is less then two
This means that the graph will have an empty circle and the arrow will go to the left of 2. (image below)
Hope this helped!
~Just a girl in love with Shawn Mendes
3. Which point lies inside the circle with equation (x - 2)2 + (y + 3)2 = 4?
(2,-5)
(2,0)
(2,-4)
(0, -3)
Answer:
C (2,-4)
Step-by-step explanation:
You could graph the circle and then graph the points and see...
Or you could them in and see which point makes the left hand less than 4?
So if you wanted to draw it is a circle with center (2,-3) and radius 2.
If you want to do it the other way:
Plug in time!
(2,-5)?
(2-2)^2+(-5+3)^2
0^2+(-2)^2
0+4=4 so not this one
(2,-4)?
(2-2)^2+(-4+3)^2
0+1
1<4 so this one (you can also see this in the drawing:
20 Points!
A rocket generates a net force (F) of 2,050,000 newtons, and the rocket’s mass (m) is 40,000 kilograms. Use the formula F = ma to find the acceleration (a) achieved. A. 51.25 meters/second2 B. 51.125 meters/second2 C. 42.25 meters/second2 D. 30 meters/second2
Answer:
Step-by-step explanation:
Plug the numbers into the formula. It might help you to know that 1 newton = 1 kg-m/s^2 .
2050000 kg-m/s^2 = 40000 kg * a
a = 2050000 / 40000 (m/s^2) = 51.25 meters / second^2
I need know what 18 divided by 9.63 equals
The graph of an equation with a negative discriminant always has which characteristic? no x-intercept no y-intercept no max no mini
Answer:
No x-intercept.
Step-by-step explanation:
The zeroes are not real so it will not pass through the x axis.
Answer:
The correct option is A) No x-intercepts.
Step-by-step explanation:
Consider the provided information.
Nature of solution based on the value of discriminant :
If D = b² − 4ac > 0 then there exist two Real Solutions or roots.
If D = b² − 4ac = 0 then there exist one Real Solutions or roots.
If D = b² − 4ac < 0 then there exist no Real Solutions or roots
Here, we need to remember that the root of an equation and x-intercepts are the same thing.
Now consider the provided information.
The graph of an equation with a negative discriminant means:
D = b² − 4ac < 0
From the above values of discriminant we can say, there exist no Real roots or no x-intercepts.
Thus, the correct option is A) No x-intercepts.
A right triangle has an angle that measures 32 degrees. What is the value of the other angle?
Answer:
58
Step-by-step explanation:
right triangle is usually 45°45°90°
given angles: 90°and 32°
90+32=122
then 180-122=58°
Taking the sum of the three interior angles of a triangle and the definition of a right triangle, you get that the value of the other angle is 58°.
The right triangle is a geometric figure that is considered as a polygon formed by three sides that form a right angle and two acute angles. That is, a right triangle is one that has an interior angle that is right, that is, it measures 90º.
On the other hand, the sum of the three interior angles of a triangle is equal to 180 °. Being α, β and γ the interior angles of the triangle, then:
α + β + γ= 180°
Being a right angle, whose value is 90 °, and another angle whose value is 32 °, it is replaced:
90° + 32° + γ= 180°
and solving you get:
122° + γ=180°
γ= 180° - 122°
γ= 58°
Then, the value of the other angle is 58°.
Learn more about the sum of the three interior angles of a triangle with this example:
https://brainly.com/question/9524036?referrer=searchResultshttps://brainly.com/question/12574729?referrer=searchResults27/9=18/x
a. x=9 b. x=18 c. x=6 d.x=3
Answer:
c. x=6
Step-by-step explanation:
4. Solve the equation 30a2 – 7 = 29a.
Answer:
Value of a = 7/6 and a = -1/5
Step-by-step explanation:
We need to solve the equation
30a^2 -7 = 29a
Adding -29a on both sides
30a^2-29a-7=0
Solving the quadratic equation using quadratic formula.
[tex]a=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
here a= 30, b =-29 and c=-7
Putting values, and finding the value of a
[tex]a=\frac{-(-29)\pm\sqrt{(-29)^2-4(30)(-7)}}{2(30)}\\a=\frac{29\pm\sqrt{841+840}}{60}\\a=\frac{29\pm\sqrt{1681}}{60}\\a=\frac{29\pm41}{60}\\a=\frac{29+41}{60} \,\, and \,\,a=\frac{29-41}{60}\\a=\frac{70}{60} \,\, and \,\,a=\frac{-12}{60}\\a=\frac{7}{6} \,\, and \,\,a=\frac{-1}{5}[/tex]
So, value of a = 7/6 and a = -1/5
what is the point slope form of a line with a slope of 5 and points (-1,3)
Answer:
y - 3 = 5(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 5 and (a, b) = (- 1, 3), hence
y - 3 = 5(x - (- 1)), that is
y - 3 = 5(x + 1) ← in point- slope form
Find the area of a regular hexagon which has an apothem of 6.93 inches and a side length of 8 inches.
A. Area = 212 in
B. Area = 166 in.
C. Area = 200 in
D. Area = 211.2 in
Solve the quadratic equation by completing the square. What are the missing pieces to the steps?
Answer:
x = 3/2, 9/2.
Step-by-step explanation:
Line 3: 36.
Line 6: 3/2.
Last line: 9/2, 3/2.
An air conditioning system can circulate 340 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answer:
340/3
Step-by-step explanation:
1 yard = 3 feet.
To find out how many yards 340 feet is, divide 340 by 3.
So, your answer is 340/3.
What is the value of p? Will give brainliest!
Answer:
35 degrees
Step-by-step explanation:
This is because the angles on the same line are supplementary meaning that they add up to 180 degrees. This means that the two angles which are not x are 180 - 90 = 90 degrees and 180 - 125 = 55 degrees. Since the angles in a triangle are also supplementary as well, then 180 - 90 - 55 = 35 degrees.
Please mark for Brainliest!! :D Thanks!!
For any questions or more information, please comment below and I'll respond as soon as possible.
Answer:
35°
Step-by-step explanation:
Angles on a straight line add up to 180°
The angle opposite 90° will be 90° because
180° - 90° = 90°
The angle opposite 125° will be 55° because
180° - 125° = 55°
So now we know that 2 of the 3 angles sum to 145° ( 55° + 90° ), we have to work out p so
180° - ( 55° + 90° ) = 180° - 145° = 35
It costs a homeowner $2.00 to rent a set of hand tools plus an additional $2.00 per hour for the rental. the function that models the cost c of renting tools for h hours is c=2h+2 identify the solution that has the correct graph and the correct slope
Answer:
The correct graph is A
Step-by-step explanation:
Let
c ----> the total cost to rent a set of hand tools
h ----> the number of hours for the rental
we know that
The linear equation that represent the problem is equal to
[tex]c=2h+2[/tex] ---> this is the equation of the line into slope intercept form
where
the slope m is equal to
m=$2 per hour
b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)
therefore
The correct graph is A
see the attached figure
I dont understand this question. Also if anyone is on geometry byu part two let me know and we can work together !
Answer:
Area of circle R = 75π un² or ≈235.5 un²
Step-by-step explanation:
The problem says that m∠TRS = 120º. The total number of degrees in a circle is 360º. 120º is a third of 360º. Therefore, we can prove that the shaded sector is a third of the circle.
The problem then says that the area of the shaded sector is 25π and we have to calculate the area of the entire circle. Since we already know that the shaded sector is a third of the circle, we can simply multiply 25π by 3 in order to calculate the area of t he entire circle.
25π × 3 = 75π.
Area of circle R = 75π un² or ≈235.5 un²
Answer: 75
Step-by-step explanation:
If the measure of TRS is 120, that is 1/3 the total of 360. Meaning the area of the shaded part is 1/3 the area of the full circle. If the area of the shaded part is 25, that means 25 is 1/3 the full area. the equation for that can be (25 = 1/3x) with x being the full area of the circle.
To solve just multiply both sides by the reciprocal of 1/3, which is 3.
25 x 3 = 75, which is your answer.
Simplify: 7(v+9)-8(5-7v)
Answer:
63v +23
Step-by-step explanation:
7(v+9)-8(5-7v)
Distribute
7v+7*9 - 8*5 -8(-7v)
7v+63 -40 +56v
Combine like terms
63v +23
A box contains 8 white cards and 6 black cards.
What is the probability of choosing a black card then a white card, without replacement?
Answer:
The probability of choosing a black card then a white card, without
replacement is 24/91
Step-by-step explanation:
* Lets explain how to solve the problem
- There is a box contain some cards
- There are 8 white cards in the box
- There are 6 black cards in the box
- Two cards are choosing from the box a black card and then a white
card, without replacement
∵ The number of the white cards in the box is 8
∵ The number of the black cards in the box is 6
∴ The total number of the cards in the box = 8 + 6 = 14
- We will chose the first card which is a black card
- We have 6 choices from 14 choices
∵ The number of the black cards is 6
∵ The total number of the cards is 14
∴ P(black) = 6/14 = 3/7
- Now the number of the black cards is 5 and the total number of the
cards is 13 because there is no replacement
- We will chose the second card which is a white card
- We have 8 choices from 13 choices
∵ The number of the white cards is 8
∵ The total number of the cards is 13
∴ P(white) = 8/13
- Lets find the probability of choosing a black card then a white card
∵ P(black) = 3/7 and P(white) = 8/13
∴ P(black and white) = 3/7 × 8/13 = 24/91
* The probability of choosing a black card then a white card, without
replacement is 24/91
Which of the following contains a variable?
Answer:
d
Step-by-step explanation:
Which property of exponents must you apply to the expression p^1/2 to derive p as the result?
We apply the following property:
(x^n)^m = x^(n • m)
Let m = 2
(P^1/2)^2 = P^(1/2 • 2) = P
Follow below steps;
The property of exponents that you must apply to the expression p1/2 to derive p as the result is the power law for fractional exponents. This law states that when raising a number to a fractional exponent, it is equivalent to taking its root.
Example: p1/2 is the same as taking the square root of p, resulting in p.
When dealing with fractional exponents like 1/2, remember that they represent roots, such as square roots in this case.
What is the solution to the equation 3/2g+8 = g+2/g^2 -16 is extraneous
Answer:
g = 16Step-by-step explanation:
[tex]Domain:\\\\2g+8\neq0\ \wedge\ g^2-16\neq0\\\\g\neq-4\ \wedge\ g\neq4\\====================\\\\\dfrac{3}{2g+8}=\dfrac{g+2}{g^2-16}\qquad\text{cross multiply}\\\\3(g^2-16)=(2g+8)(g+2)\\\\\text{use the distributive property}:\ a(b+c)=ab+ac\\\text{and}\ FOIL:\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3)(g^2)+(3)(-16)=(2g)(g)+(2g)(2)+(8)(g)+(8)(2)\\\\3g^2-48=2g^2+4g+8g+16\qquad\text{subtract}\ 2g^2\ \text{from both sides}\\\\g^2-48=12g+16\qquad\text{subtract}\ 12g\ \text{and}\ 16\ \text{from both sides}[/tex]
[tex]g^2-12g-64=0\\\\g^2+4g-16g-64=0\\\\g(g+4)-16(g+4)=0\\\\(g+4)(g-16)=0\iff g+4=0\ \vee\ g-16=0\\\\g+4=0\qquad\text{subtract 4 from both sides}\\g=-4\notin D\\\\g-16=0\qquad\text{add 16 to both sides}\\g=16\in D[/tex]
Solve this equation for x. Round your answer
to the nearest hundredth.
1 = In(x + 8)
Answer:
e -8 =x
Step-by-step explanation:
1 = In(x + 8)
To get rid of the natural log, raise each side to the base e
e^1 = e^ (ln(x+8))
e^ln cancels
e^1 = x+8
Subtract 8 from each side
e^1 -8 = x+8-8
e -8 =x
Points Q and R are midpoints of the sides of triangle ABC.
What is AQ?
10 units
14 units
20 units
32 units
Find the slope of the line through the points (–4, 6) and (8, 4).
A.-1/6
B.-5/6
C.-3/2
D.-1/2
Answer:
A.-1/6Step-by-step explanation:
you first have to find the slope by make it rise over run.
rise over run would be 6-4/-4-8. this is the slope or m in the equation y=mx+b. this means that the slope is -1/6
Which situation can be represented by a single expression?
A. The product of 3/4, and a number is 16.
B. 1/5 of a number
C. Half of a number is 15.
D. The difference of 20 and a number is 14.
Answer:The answer is C! Hope this helps Please mark me Brainalist!
If not i totaly get it :D
Step-by-step explanation:
Answer:
Give oliviadimatteo44 Brainliest because he/she is correct
Step-by-step explanation:
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Is 7 a solution to the inequality below. Yes or No?
4y - 10 > 20
Answer:
yes
Step-by-step explanation:
Please help with question 14
Answer:
7000-24x
Step-by-step explanation:
The question states that the car depreciates every month over the 2 years. This means that the value will go down from its original price. So with that we can rule out the last two choices which has addition.
The depreciation is every month, so in 2 years, there are 24 months. We can get the total deduction by multiplying the depreciation amount and the number of months that had passed over 2 years.
So your answer would be:
7000-24x
what is the domain of the function?
Answer:
the x value
Step-by-step explanation:
Which equation can be simplified to find the inverse of y = 2x2^2
Answer:
[tex]\large\boxed{x=2y^2}[/tex]
Step-by-step explanation:
[tex]y=2x^2\\\\\text{exchange x to y and vice versa:}\\\\x=2y^2\\\\\text{solve for y:}\\\\2y^2=x\qquad\text{divide both sides by 2}\\\\y^2=\dfrac{x}{2}\to y=\sqrt{\dfrac{x}{2}}[/tex]
Answer:
D. [tex]x=2y^2[/tex]
Step-by-step explanation:
We have been given an equation [tex]y=2x^2[/tex]. We are asked to choose the equation that could be solved to get the inverse of given equation.
We know that to find the inverse of a function, we interchange the x and y variables and then we solve for y.
Upon interchanging x and y variables in our given equation, we will get:
[tex]x=2y^2[/tex]
Therefore, the equation [tex]x=2y^2[/tex] can be simplified to find the inverse of our given equation and option D is the correct choice.
Which numbers are irrational
√196
√80
√18
√12
7\18
Answer:
sqrt(80)
sqrt(18)
sqrt(12)
Step-by-step explanation:
sqrt(196) = 14 which is rational.
7/18 is a fraction. There is nothing the matter with it. It is rational.
sqrt(80) = sqrt(16 * 5) = sqrt(4*4* 5) = 4 sqrt(5) which is irrational.
sqrt(18) = sqrt(9*2) = sqrt(3*3*2) = 3*sqrt(2) which is irrational.
sqrt(12) = 2sqrt(3) which is irrational
Rule: if there is anything left under the root sign then the starting number is irrational.
Simplify. (-24x^3+18x+6) divided by (6x+3)
a. -4x^2+2x-2
b. 4x^2-2x+2
c. 4x^2+2x-2
d. -4x^2+2x+2
Answer:
It's d. -4x^2 + 2x + 2.
Step-by-step explanation:
-4x^2 + 2x + 2.
------------------------
6x + 3 )-24x^3 + 0x^2 + 18x + 6
-24x^3 - 12x^2
--------------------
12x^2 + 18x
12x^2 + 6x
--------------
12x + 6
12x + 6