Given :-
[tex](9^{2} )^{-1/3}[/tex]To Find :-
To solve the expression .Solution :-
Given expression to us is ,
[tex](9^{2} )^{-1/3}[/tex]
We know that ,
[tex] 9 = 3^2[/tex]
So our expression becomes ,
[tex]\{ (3^2)^2\}^{\frac{-1}{3}}[/tex]
And , [tex] (a^m)^n =a^{mn}[/tex] . Using this ,
[tex] (3^4)^{\frac{-1}{3}}[/tex]
Again using the same law ,
[tex] 3^{\frac{-4}{3}}[/tex]
We know that , [tex] a^{-m}=\frac{1}{a^m}[/tex] . Therefore ,
[tex] (3^{-4})^{\frac{1}{3}}[/tex]
[tex]\\\bigg( \dfrac{1}{3^4}\bigg)^{1/3}[/tex]
[tex]\\ \dfrac{1}{\sqrt[3]{3^4}}[/tex]
Simplify ,
[tex] \dfrac{1}{3\sqrt[3]{3}}[/tex]
This is the simplified expression.
I hope this helps.
If the sum of two
prime numbers is 2013,
what is their product?
Answer:
2013 = 3 x 11 x 61
Step-by-step explanation:
3 x 11 x 61 are all prime. Their sum is 3+11+61 = 75
Answer:
2013 = 3 x 11 x 61
Step-by-step explanation:
Their sum is 3+11+61 = 75
3,11,61 are all prime numbers
hope this helps
What is the solution to |2x-8|=6?
Answer:
x = 7, 1 (Multiple solutions)
Step-by-step explanation:
2(7) - 8 = 6
14 - 8 = 6
6 = 6
| 2(1) - 8 | = 6
| -6 | = 6
6 = 6
9) Sandra cut a piece of fabric in half to create two congruent rectangles that were each 8 feet long and 2 feet wide. What was the area of the original piece of fabric in square feet?
Answer:
32 ft²Step-by-step explanation:
Area of the cut rectangle:
A = lw = 8*2 = 16 ft²The area of the original fabric is twice the cut one:
16*2 = 32 ft²Assuming x and the number below are measured in degrees find re value of x and find the unknown angle measure in each triangle.
Answer:
x = 16°
4x-7 = 57°
3x+4 = 52°
5x-9 = 71°
Step-by-step explanation:
All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.
4x-7 + 3x+4 + 5x-9 = 180
Simplify by combining like terms.
12x-12 = 180
Then, do inverse operations to find x.
12x=192
x=16
Now that we found x, we can substitute 16 for x in each angle equation in the triangle.
4(16)-7 = 57
3(16)+4 = 52
5(16)-9 = 71
A carpenter builds a tree house in the shape of a rectangular
prism. The tree house has a base that measures 8 feet long and 6
feet wide, and its volume is 312 cubic feet.
What is the height of the tree house?
Answer:
6.5 feet
Step-by-step explanation:
V = lwh
Plug-in the numbers given and solve for h
312 = 8(6)h
312 = 48h
312/48 48h/48
h = 6.5 feet
Sarah wants to buy a new iphone for $799. The tax for the phone will be 7%. What will she pay in total for the phone
Answer:
854.93
Step-by-step explanation:
I answered hope it helps
Hence, write down the equation with Y as subject (in terms of x) to represent the production cost. The value of A,B and C must be included
The production cost is an illustration of a quadratic function
The equation of the production cost is [tex]y = ax^2 + bx -c[/tex]
How to determine the equationFrom the complete question, we have the following parameters:
Computing components (a)Number of devices (x),Labor (b)Savings on reusable material (c)Using the instructions in the complete question, the equation of the production cost would be:
[tex]y = ax^2 + bx -c[/tex]
Hence, the production cost is [tex]y = ax^2 + bx -c[/tex]
Read more about production cost at:
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7. On a number line, what is the distance between –61.5 and – 23.4?
need help will give brainliest if i can
Answer:
Total surface area of the tent that is in a shape like a triangular prism
= 255ft²
Step-by-step explanation:
Find the surface area of the triangles.
height = 5ft, base = 5ft
2 Triangles = 5 × 5 ÷ 2 × 2 = 25ft²
Now for the base.
height = 10ft, base = 5ft
base of triangular prism = 10ft × 5ft = 50ft²
And then, the last 2 rectangles.
height = 10ft, base = 9ft
2 Rectangles = 10ft × 9ft × 2 = 180ft²
Lastly, we add all these up.
25ft² + 50ft² + 180ft²
= 255ft²
Can someone please help me out with this ??? I’d appreciate it so much
Answer:
(0, 1)
Step-by-step explanation:
So with the 2 equations you can either choose which to start with but you need to make the X or Y the opposite from the other equation.
1.
4x + 2y = 2 --> 1( 4x + 2y = 2)
3x - y = -1 --> 2( 6x - 2y = -2)
--
6x + 4x = 10x
2y - 2y = 0 (forced to get rid of)
2 - 2 = 0
Left with:
10x = 0 (Divide both sides by 10 to get X alone)
x = 0
-----------------------------------------------------------
(Choose any ORIGINAL equation)
4x + 2y = 2
4(0) + 2y = 2 (substitute)
Left with:
2y = 2 (divide both sides by 2 to get Y alone)
y = 1
-------------------------------------------------------------
Optional:
Chose the other equation (the oposite from above)
Substitute X and Y in 3x - y = -1
3(0) - (1) = -1
Left with: -1 = -1 (check)
Hope this helps
Wren's investment manager informed her that she has a dividend yield of 6
from her investment with AB PLC. If the shares of the company currently trade for $20
on the Stock Exchange, what is the total dividend Wren receives if she has 2000
shares in AB PLC?
A. $12000
B. $1200
C. $2400
D. $40000
4+[2x3 2nd power] +4 divided by 11
Answer:
22.36Step-by-step explanation:
4+[2x3 2nd power] +4 divided by 11
translation
4 + (2×3²) + 4 : 11 =
4 + 18 + 4 : 11 =
4 + 18 + 0.36 =
22.36
one number is three less than twice another . the sum of their square is 117 . find the numbers.
Answer:
-10.2 and -7.2
6 and 9
Step-by-step explanation:
Let the numbers be x and y.
x² + y² = 117
y = 2x - 3
x² + (2x - 3)² = 117
x² + 4x² - 12x + 9 = 117
5x² - 12x - 108 = 0
(5x + 18)(x - 6) = 0
5x + 18 = 0 or x - 6 = 0
x = -18/5 or x = 6
x = -3.6 or x = 6
y = 2x - 3
y = 2(-3.6) - 3
y = -10.2
y = 2x - 3
y = 2(6) - 3
y = 9
Answer:
-3.6 and -10.2
6 and 9
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. What is the range of acceptable values? 42. 668 mm to 42. 670 mm 42. 668 mm to 42. 672 mm 42. 670 mm to 42. 672 mm 42. 670 mm to 42. 674 mm.
The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
What is the range?The range is the difference between the maximum and minimum.
Given to us
The standard diameter of a golf ball is 42.67 mm.
The discrepancy in diameter is more than 0.002 mm.
As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.
Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm
Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm
Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
Learn more about Range:
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is a rectangle. and . What is ?
A.
12
B.
6
C.
15
D.
24
Answer:
6
Step-by-step explanation:
diagonals bisect each other in rectangle
3x-6 = 2x
x=6
The local farms market sells peppers at five for 4.75 what is the constant of proportionality
Answer:
4.75
Step-by-step explanation:
Each pepper or product of pepper costs $4.75
So the unit rate is 4.75/pepper
The unit rate is considered as the slope of the line, or also known as the constant or proportionality. As the Number of peppers increase, the price increases proportionally.
The constant of proportionality is 4.75
-Chetan K
Which shows the domain and range of these functions? Domain: (Negative infinity, infinity) Range: (Negative infinity, infinity) Domain: (0, infinity) Range: (Negative infinity, infinity) Domain: (Negative infinity, infinity) Range: (0, infinity).
The domain (input values) and range (output values) of the function is, Domain: (Negative infinity, infinity), Range: (0, infinity).
What is domain and range of function?Domain of a function is the set of all the possible input values which are valid for that function.
Range of a function is the set of all the possible output values which are valid for that function.
Given information-
The function given in the problem is,
[tex]y=f(x)\\y=h(x)\\y=g(x)\\y=k(x)[/tex]
As domain of a function is the set of all the possible input values which are valid for that function. Thus the function should accept all the values for the given function.
Here in the given function the function is takes the input for all the real number form positive to the negative infinite. Thus the domain of the function is,
Domain: (-∞, ∞).
Range of a function is the set of all the possible output values which are valid for that function.
Here the output for the given function gives the positive values to the infinite. thus the range of the function is,
Range: (0, ∞).
Thus, the domain and range of the function is, domain: (Negative infinity, infinity), range: (0, infinity).
Learn more about the domain and range of the function here;
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Answer:
Answers for entire slide:
1. B, and D
2. All of them
3. only correct one is C.
Step-by-step explanation:
Source: trust me bro
I WILL MARK CROWN PLEASE HELP
Answer:
70
Step-by-step explanation:
180-120=60
180-(60+50)=70
Answer:
m∠U = 70°
Step-by-step explanation:
find the missing inside angle, V:
180° - 120°
60°
so now the total interior angle of triangle is 180°
m∠U + 60° + 50° = 180°
m∠U = 180° - 110°
m∠U = 70°
Find the equation of the line determined by the given information.
10.m= 1; P = (-7, 0)
Answer:
y = x + 7
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 = 1 and (a, b ) = (- 7, 0 ) , then
y - 0 = 1 (x - (- 7) ) , that is
y = 1 (x + 7) ← distribute by 1
y = x + 7 ← in slope- intercept form
What is slope and how do you find it?
Step-by-step explanation:
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{y2 - y1}{x2-x1}[/tex]
If two coordinates be (x1,y-1) and (X2,Y2)
Slope:-
m=y2-y1/x2-x1If a line be ax+by+c=0
Slope'-
m=-a/bWhat is the solution 2/3 a +6 > 0
Answer:
a > -9
subtract 6 from both sides to get 2/3 a > -6. Then multiply both sides by 3 to get 2a > -18. Last, divide both sides by 2 to get your answer: a > -9
Answer:
a > (-9)Step-by-step explanation:
[tex] \frac{2}{3} a + 6 > 0 \\ \frac{2}{3} a + 6 - 6 > 0 - 6 \\ \frac{2}{3} a > - 6 \\ \frac{2}{3} \times 3 \: \: a > - 6 \times 3 \\ 2a > - 18 \\ \frac{2a}{2} > \frac{ - 18}{2} \\ a > (- 9) \\ [/tex]
06.05 Data Observation
Instructions
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Flip two different coins 100 times, and record the results of each coin toss in a table like the one below:
Result Frequency
Two heads
Two tails
One head, one tail
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
1. What is the theoretical probability that a coin toss results in two heads showing? 0.25
2. What is the experimental probability that a coin toss results in two heads showing? 0.5 x 0.5
3. What is the theoretical probability that a coin toss results in two tails showing?1/2
4. What is the experimental probability that a coin toss results in two tails showing?1 in 4
5. What is the theoretical probability that a coin toss results in one head and one tail showing? 0.5
6. What is the experimental probability that a coin toss results in one head and one tail showing? .5
7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? The theoretical is slightly higher than expected
3. ^2x + 6 = 2
solve radical equations?
Answer:
x = - 2
Step-by-step explanation:
2x + 6 = 2
2x = 2 - 6
2x = -4
x = -4/2
x = - 2
Hope it helps ⚜
Please help me with this math problem
Answer:
104.52 sq m
Step-by-step explanation:
The area of the top triangle is 1/2(12 * 8) = 48 sq m
The bottom semicircle is 1/2(pi r-squared) or 1/2(3.14 * 6^2) = 56.52 sq m
Add together and they are 104.52 sq m
A cafe makes ten 8-ounce fruit smoothies. Each smoothie is made with 4 ounces of soy milk and 1.3 ounces of banana flavoring. The rest is blueberry juice. How much of each ingredient will be necessary to make the smoothies?
Answer:
27 ounces of blueberry juice. 40 ounces of soy milk. 13 ounces of banana flavoring.
Step by Step:
4 + 1.3 = 5.3, This is how much of the smoothie is made up of the soy milk and banana flavoring, 5.3 ounces.
So to find the amount of blueberry juice in the smoothie you have to subtract 8-5.3. This finds the remaining part of the smoothie, which is the blueberry juice. 8-5.3 = 2.7
2.7 ounces of blueberry juice in each smoothie.
Now you have to multiply every ingredient by 10, since there are 10 smoothies.
4 * 10 = 40
1.3 * 10 = 13
2.7 * 10 = 27
You need 40 ounces of soymilk, 13 ounces of banana flavoring, and 27 ounces of blueberry juice to make 10, 8-ounce smoothies.
Please just answer question 11
Answer:
[tex]\mathrm{No\:Solution}[/tex]Step-by-step explanation:
given that: [tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex] also its being said that: it has no solutionthus shall we use the formula: b²-4ac < 0Extra's:
when it has solution: b²-4ac > 0 when has only one or equal use: b²-4ac = 0when it has no solution or real numbers: b²-4ac < 0Now lets solve:
[tex](p^2 +1)x^2 +2pqx+q^2 = 0[/tex]
[tex](p^2 +1)x^2 +(2pq)x+q^2 = 0[/tex]
using b²-4ac < 0:
[tex](2pq)^2 - 4 * (p^2 +1 )(q^2 ) <0[/tex]
[tex]4p^2 q^2 - 4p^2q^2 -4q^2<0[/tex]
[tex]-4q^2 < 0[/tex]
[tex]\mathrm{No\:Solution\:for}\:p\in \mathbb{R}[/tex]
After lunch,my family has 1/8 of a pizza left. If I took half of the leftovers for my snack, what fractional part of the pizza is left?
Answer:
[tex] \frac{1}{16} [/tex]
Step-by-step explanation:
[tex] \frac{1}{8} \times \frac{1}{2} \\ = \frac{1}{16} [/tex]
Therefore, the fractional part is
[tex] \frac{1}{16} [/tex]
The amusement park installed a new 260-foot-tall ride. This ride is 78 feet taller than the next tallest ride in the park.
Write an equation using the subtraction property of equality that results in the height of the second tallest ride in the park. Explain your equation.
Answer:-
[tex]\boxed{\huge \text{182 feet}}[/tex]
Step-by-step explanation:
Let the height of the next tallest rider be t feet
Since the 260-foot-tall ride is 78 feet taller than the next tallest;
That means t = 260 - 78 = 182 feet
Therefore, the height of the second tallest ride in the park = 182 feet.
[tex]\huge \text{hope this helps! :)}[/tex]
-InLoveWithNature-
Evelyn drew a marble at random from a bag containing 4 blue, 3 red, 2 yellow, and 5 green marbles. What is the probability that Evelyn selected a marble that is NOT red?
3/14
11/14
3/11
3/7
SHOW WORKK
Answer:
The probability that she picked a card that is not red is 11/14
Step-by-step explanation:
Number of blue marbles n(blue)=4
Number of red marbles n(red)=3
number of yellow marbles n(yellow)= 2
number of green marbles n(green)=5
total number of marbles n(S)=4+3+2+5=14
P(red)=n(red)/n(S)
P(red)=3/14
We have to determine the probability that the card picked is not red which means the card can be blue or yellow or green.
P(not red)=1-P(red)
=1-3/14
=11/14
Hope this helps
Excerpt from Brainly
This is with tangents I have already figured out one portion of the prolem please help
Answer:
-5
Step-by-step explanation:
when something is squared it can be positive or negative