It costs £420 for six tickets how much would 5 tickets be
The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}
3
3
⋅
5
3
6
is equivalent to
By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]
How to find equivalent valueTo simplify the given expression, combine the two radicals using the property of exponentiation.
First, simplify the expression inside the second radical:
√[5]{[tex]3^6[/tex]}
Since the index is 5, rewrite the expression as:
[tex](3^6)^(1/5)[/tex]
Using the property of exponentiation, multiply the exponents:
[tex]3^(6/5)[/tex]
Now combine this result with the first radical:
[tex]3\sqrt3 * 3^(6/5)[/tex]
Since ∛3 can be written as [tex]3^(1/3)[/tex], rewrite the expression as:
[tex]3^(1/3) * 3^(6/5)[/tex]
To multiply two numbers with the same base, add the exponents:
[tex]3^(1/3 + 6/5)[/tex]
To simplify further, we need a common denominator for the fractions:
[tex]3^(5/15 + 18/15)[/tex]
Combining the fractions:
[tex]3^(23/15)[/tex]
Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]
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The graph of g(x) is a reflection and translation of f (x) = RootIndex 3 StartRoot x EndRoot.
On a coordinate plane, a cube root function goes through (0, 1), has an inflection point at (1, 0), and goes through (2, negative 1).
Which equation represents g(x)?
g (x) = RootIndex 3 StartRoot x + 1 EndRoot
g (x) = RootIndex 3 StartRoot x minus 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x + 1 EndRoot
g (x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot
Transformation involves changing the form of a function.
The equation that represents g(x) is (c) [tex]g(x) =-\sqrt[3]{x+1}[/tex]
Function f(x) is given as:
[tex]f(x) =\sqrt[3]{x}[/tex]
First f(x) is reflected across the x-axis.The rule of this transformation (i.e. reflection) is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex]f'(x) = -f(x)[/tex]
This gives
[tex]f'(x) =-\sqrt[3]{x}[/tex]
Next, f'(x) is translated 1 unit leftThe rule of this transformation (i.e. translation) is:
[tex](x,y) \to (x+1,y)[/tex]
So, we have:
[tex]g(x) = f'(x+1)[/tex]
This gives
[tex]g(x) =-\sqrt[3]{x+1}[/tex]
Hence, the equation that represents g(x) is (c)
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Answer:
Its D
Step-by-step explanation:
just did the quiz
Alguien me ayuda Gracias
1) Se lanza un dado la probabilidad de que caiga un número
mayor que 5 es: 26,66%
V o F
2) Se lanza un dado, la probabilidad de que caiga un número mayor que 2 es: 56,66%
V o F
3) En una caja hay 12 pelotas de igual tamaño, de las cuales 7 son azules y 5 blancas.
La probabilidad de que al extraer una esta sea blanca es: 40,66%
V o F
4) Un matrimonio desea tener 3 hijos. La probabilidad de obtener:
Dos varones y una hembra es: 47,5%
V o F
5) Un matrimonio desea tener 3 hijos. La probabilidad de obtener dos varones y dos hembras es: 50%
V o F
Answer:
1) V
2) V
3) V
4) V
5) V
Step-by-step explanation:
When drawn in standard position, in which quadrant does the terminal side of the angle −240° lie?
Answer:
Option (2)
Step-by-step explanation:
All angles are positive when measured counterclockwise from the x-axis.
Terminal side of 240° degrees when measures counterclockwise will lie in the 3rd quadrant.
But the angle is -240°.
That means angle is being measured clockwise from the x-axis.
Therefore, terminal side of the of the angle will be in the 2nd quadrant.
Option (2) will be the correct option.
When 345 is multiplied by a power of 10 the number of zeros in the product is related to the power of 10. Explain how the number of zeros relates to the power of 10.
Answer:
The Number of Zeroes In The Results is Always equal To the Powers of 10.
Step-by-step explanation:
Example:-
345*[tex]10^{2}[/tex] = 34500
345*[tex]10^{5}[/tex] = 34500000
345*[tex]10^{7}[/tex] = 3450000000
345*[tex]10^{8}[/tex] = 34500000000
(In the Above examples, There is All The Numbers of Zeroes In The Results is equal To the Powers of 10)
In a class, there are 87 students
in the class, and 38 are boys. What is
the probability that a girl is selected
randomly to represent the class in a
debate?
Answer:
49/87 = .56 = 56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
Please help me I really need help
771.05 m³ is tge answer brudah !!
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
y = 4x + 5 ; y = x - 4
Answer:
(- 3, - 7 )
Step-by-step explanation:
Given the 2 equations
y = 4x + 5 → (1)
y = x - 4 → (2)
Substitute y = 4x + 5 into (2)
4x + 5 = x - 4 ( subtract x from both sides )
3x + 5 = - 4 ( subtract 5 from both sides )
3x = - 9 ( divide both sides by 3 )
x = - 3
Substitute x = - 3 into either of the 2 equations and evaluate for y
Substituting into (2)
y = x - 4 = - 3 - 4 = - 7
solution is (- 3, - 7 )
please help me :)))))))))))))))))
Answer:
A
Step-by-step explanation:
third angle=180-(35+73)=180-108=72°
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
y=−x+4
y=x−2
What is the solution for the system of equations?
Step-by-step explanation:
y=-x+4
y=x-2
adding both the equations we get
2y=2
:. y=1
and putting the value of y in equation first we get
x=3
Let U be the universal set, where: U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 } Let sets A , B , and C be subsets of U , where: A = { 2 , 3 , 5 , 6 , 7 } B = { 1 , 3 , 9 , 10 , 11 , 14 } C = { 5 , 9 , 12 , 13 , 15 }
Answer:
16 elements
0 elements
Step-by-step explanation:
U = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 }
Let sets A , B , and C be subsets of U , where:
A = { 2 , 3 , 5 , 6 , 7 }
B = { 1 , 3 , 9 , 10 , 11 , 14 }
C = { 5 , 9 , 12 , 13 , 15 }
(A U B U C) = elements in either A, or B or C
(A U B U C) = {1,2,3,5,6,7,9,10,11,12,13,14,15}
(A U B U C) n (A U B U C) = elements on both intersecting set ; this will contain the same set as (A U B U C) are the same.
Number of elements = 13
(A n B n C) = elements occurring in both A, B and C
(A n B n C) = {} = empty set
(A n B n C) n (A n B n C) = {} = 0
What is the common difference for this arithmetic sequence? 45,39,33,27,21,...
Answer:
I expect the correct answer
_6
.
Answer:
6
Step-by-step explanation:
because if u minus 39 from 45 u get six and same for the others
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
This the answer
If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
PLZZ HELPPP
2x-3
There are 20 chocolates in a box.
Some of the chocolates contain nuts and the rest do not.
The probability that a chocolate containing nuts is picked at random from the
box is 0.6
How many of the chocolates in the box contain nuts?
Answer:
12 nutted chocolates
Step-by-step explanation:
0.6 is equal to 60% and 60% 0f 20 is 12.
A medical company tested a new drug on 100 people for possible side
effects. This table shows the results.
Side effects No side effects
Total
Adults
6
44
50
Children
20
30
50
Total
26
74
100
Compare the probability that an adult has side effects with the probability
that a child has side effects. Draw a conclusion based on your results.
Answer:
the answer is 0.40 and 0.12 children have much greater chance of having side effects than adults mark me brainiest
Step-by-step explanation:
The correct option is P(side effects | child) = 0.40 and P(side effects | adult) = 0.12. Conclusion is Children have a much higher chance of having side effects than adults.
Total number of people tested = 100
Number adults = 50
Number of adults who got side effects = 6
Probability that the adult got side effects = 6/50 = 0.12
Number of children = 50
Number of children who got side effects = 20
Probability that the children got side effects = 20/50 = 0.40
Here, it is clear that probability that the children got side effects is greater than that adult got side effects.
So, Children have a much higher chance of having side effects than adults.
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Which conversion factor would you use to convert from meters to feet?
Answer:
To convert a meter measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the meters multiplied by 3.28084.
Step-by-step explanation:
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are girls?
Answer:
20 girls
Step-by-step explanation:
boys : girls : total
3 5 3+5 = 8
There are 32 students
32/8 = 4
Multiply each term by 4
boys : girls : total
3*4 5*4 8*4
12 20 32
There are 20 girls
Answer: 20 girls
Step-by-step explanation:
So boys to girls is 3 to 5
It asks for girls in class
Suppose there were 8 people in class, 5/8 of the people would be girls
It states that 32 people are in the class, so do 32 x 5/8 to get 20 girls
When x = 1 and y = –2, z =
Answer:
No solution is possible from the information provided
Step-by-step explanation:
Please help us help you by including enough information to answer your question.
Answer:
z = -10
Step-by-step explanation:
trust me
What is 5 7/8 - 1 1/8
Answer to this equation:
4 3/4
Answer:
4.75
Step-by-step explanation:
This is what I got. have a nice day:)
In a 45-45-90 right triangle, what is the ratio of the length of one leg to the length of the other leg? O A. sqrt2:1 O B. 1:1 Oc. C. 2:1 O D. 1:sqrt2
Answer:
B. 1 : 1
Step-by-step explanation:
the triangle has the same size of legs (the same angles 45°)
write one eighth as a decimal
Answer:
0.125
Step-by-step explanation
one eighth = 1/8
Divide the numerator by denominator and the answer is 0.125
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
if you anserw corectly ill give you crown and more points
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that decend means to lower. Anything lower than 0 has to be negative. It says that she decends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Hope this helps!
a) Find csc ∅, given that cot ∅ = -7/2 and cos ∅ < 0
b) Find cot ∅, given that cos ∅ = 15/17 and ∅ is in Quadrant IV
Answer:
a) csc∅ = √53/2
b) cot ∅ = 15/√514
Step-by-step explanation:
a) The value of cot ∅ = -7/2
cos ∅ < 0
We note that cos(∅) is less than 0 in Quadrant II and III, and cot(∅) is less than 0 in the Quadrant II, therefore, we have;
∅ is in the Quadrant II
csc∅ = (√((-7)² + 2²))/2 =√53/2 ≈ 3.64
csc∅ = √53/2
b) cos∅ 15/17
∅ is in Quadrant IV
∴ cot ∅ = 15/(√(15² + 17²)) = 15/√514 ≈ 0.662
cot ∅ = 15/√514
Mary went to the shop and bought two patties for $190 each and three Orange juice for $375. If she pays her bill with two $500 notes, what amount does she receive in change?
Answer:
$55
Step-by-step explanation:
Spending
3*190 + 375 = 945
Change = cash paid - spending
500 * 2 - 945 = 55
$55
Where? The crime was committed on the day and at one of the locations below, but which one? It happened where ALL the answers are true. B 5 cm oi -2 cm. 5 cm 9 cm 5 cm 3 cm 15 cm A 8 cm С 17 cm 8 cm 10 cm 1 cm 0.6 cm 7 cm D -15 cm 2 cm Monday in the gym The surface area of A is 150 cm 2. The volume of C is 8.4 cm 3 The volume of D is 750 cm The surface area of A is 1,500 mm 3 Tuesday in the dining The volume of B is 540cm room 3 The volume of D is 1200 cm 2 The surface area of A is 0.015 m 3 The volume of B is 0.00054 m The volume of D is 600 cm3 Thursday on the playing fields Friday in the maths classroom The surface area of A is 0.15 m 3 The volume of Dis 0.0006 m The volume of A is 125,000 mm3 The Accusation Who Where & when
9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
__
The Accusation: Thursday on the playing fields.
Answer:
{C} Thursday on the playing fieldSet up an en equation and use it to solve for x
Answer:
x = 30
Step-by-step explanation:
The 2 angles lie on a straight line and sum to 180° , then
x - 3 + 153 = 180
x + 150 = 180 ( subtract 150 from both sides )
x = 30
Answer:
x = 30
Step-by-step explanation:
180° = total
153° = part
180° - 153° = 27°
Then use the equation to find the value of x
(x - 3) = 27
(x + 3) = +3 Add 3 to both sides!
x = 30
Which definition best describes vertical angles?
O A. A pair of angles whose sum is 180°
B. A pair of angles that combine to form a straight angle
C. A pair of angles whose sum is 90°
D. A pair of opposite angles formed by intersecting lines
SUBM