Answer:
(y²)³ = y⁶
Step-by-step explanation:
The power of a power rule is generally shows expressions where a power is being raised by another power. In such expressions, the exponents are multiplied together and the base is kept the same, like:
[tex] \qquad \qquad\boxed{ \sf{ { {(x}^{m}) }^{n} = {x}^{mn} }}[/tex]
In order to write the expression (y²)³ in the form of yⁿ, you may use this rule (power of a power rule) to obtain the answer.
[tex]\qquad \quad \sf{ { {(y}^{2}) }^{3} = {y}^{2(3)} = \pmb {\red{ {y}^{6}}}}[/tex]
I dont really understand this question. I WILL GIVE BRAINIEST thank you to anyone who helps:)
Answer:12 out of 9 chances
Step-by-step explanation:
Answer: 9/24 or 3/8(simplified).
Step-by-step explanation:
Okay first let's break it down.
The spinner has a 1/4 chance of landing on blue.
The spinner has a 1/2 chance of landing on red.
The spinner has a 1/4 chance of landing on green.
The spinner has a 3/4 chance of landing on red or blue
The spinner has a 3/4 chance of landing on red or green.
The spinner has a 1/2 chance of landing on blue or green.
A 6-sided die has a 1/2 chance of landing on either even or odd.
The question first asks the probability of spinning a red or blue.
So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.
Simplify. Assume that a and b are positive integers and that ab and a>2.
(a+b)!
(a+b-1)
Answer:
Step-by-step explanation:
a+b I think
Simplify the expression.
And could you explain how you got that answer please. Thanks
Answer:
125e^12x
Step-by-step explanation:
5^3*(e^4x)^3
5^3=125
(e^4x)^3=e^12x
125e^12x
What is the answer to my question? No links please. Urgent.
Answer:
57cm^3
i belive this is right.
The sum of brian's and rihanna's ages is 41. The difference between two times brian's age and rihanna's age is 13. How old is rhianna
Answer: 13?
Step-by-step explanation:
I need help under standing
0.73 recurring can be writeen as 11/15
Answer:
yes , see explanation
Step-by-step explanation:
We require 2 equations with the recurring 3 placed after the decimal point.
let x = 0.7333.. ( multiply both sides by 10 and 100 )
10x = 7.333... → (1)
100x = 73.333.... → (2)
Subtract (1) from (2) , eliminating the recurring 3
90x = 66 ( divide both sides by 90 )
x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]
At a tournament, the bowling league is providing 160 sandwiches for its members.
The table shows the number of different types of sandwiches that were ordered.
The ratio of turkey sandwiches to roast beef sandwiches is 5:3.
Drag the numbers to complete the table.
Turkey: 80
Roast beef: ?
Vegetarian: ?
The number of beef sandwich is 48 and vegetarian sandwich is 32.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80
Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,
5x = 80
x = 16
Therefore, number of roasted beef sandwiches = 16 × 3 = 48
Total number of turkey sandwich and beef sandwich = 48 + 80 = 128
The number of vegetarian sandwich = 160 - 128 = 32
Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.
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What is an equation of the line that passes through the points (-4,-2)
and (8,1)?
Answer:
y=0.25x-1
Step-by-step explanation:
y=mx+b
slope = 0.25
y = 0.25x+b
the y intercept = -1
y = 0.25x+-1
y = 0.25x-1
FREE PTS! Who is your favorite character? (can be fictional or a real person)
Answer:
Yay!!!! Ty for the points!!!!!!!!!!!
I don't have a fav character....I luv BTS - they r real!!!
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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HELP ME PLS! ASAP 10 POINTS FOR THIS ONE & THE NEXT ONE!!!!!! ❗️
find the circumference of a circle with an area of 1,134.11
Answer:C=2πA=2·π·1≈3.54491
Step-by-step explanation:
Answer:
119.32
Step-by-step explanation:
The formula for the area of a circle is:
A = πr², where π = 3.14 and r = radius
The formula for the circumference of a circle is:
C = 2πr, where π = 3.14 and r = radius
So, in order to solve for circumference, you need to solve for 'r'. Using the formula for area:
1134.11 = πr²
Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²
Take the square root of both sides: √361.2 = √r² or r≈19
Use the value of r = 19 to solve for circumference:
C = 2π(19) = 2(3.14)(19) = 119.32 meters
Element X decays radioactively with a half life of 15 minutes. If therd are 230 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?
Answer: 42 minutes
Step-by-step explanation:
Please help me!! I will mark brainliest! Explain!!!
Answer:
[tex]ratio \: = 3 \: to \: 5 \\ thus \: if \: 3 = 15 \\ then \: 5 = \frac{15 \times 5}{3} = 25[/tex]
Use the Pythagorean theorem to find
Answer:
13cm
Step-by-step explanation:
the formula for finding the hypotenuse is:
[tex]c=\sqrt{a^{2} +b^{2} }[/tex]
C is always the longest side of the triangle. In your question, it would be the side without any measurement.
It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.
Now just solve for C
C=[tex]\sqrt{12^{2} + 5^{2} }[/tex]
C=[tex]\sqrt{144+25}[/tex]
C=13
Therefore, the missing side is 13 cm
Please click the "helpful" button if i helped :)
Answer: 13cm I think
Step-by-step explanation:
Suppose the TRMS basketball team scored 78 points by 2-point and 3-point baskets only. If 35 total baskets were made, how many 2-point and 3-point baskets were scored?
Answer:
the number of 2 point and number of 3 point be 27 and 8 respectively
Step-by-step explanation:
Let us assume the number of 2 point be x
And, the number of 3 point be y
Now according to the question
2x + 3y = 78
x + y = 35
Multiply by 2 in equation (2)
2x + 3y = 78
2x + 2y = 70
y = 8
So,
x = 35 - 8
= 27
Hence, the number of 2 point and number of 3 point be 27 and 8 respectively
Given: ∠AOB is a central angle and ∠ACB is a circumscribed angle.
Prove: △ACO ≅ △BCO
Circle O is shown. Line segments A O and B O are radii. Tangents C B and C B intersect at point C outside of the circle. A line is drawn to connect points C and O.
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because .
We also know that AC ≅ BC since .
Using the reflexive property, we see that .
Therefore, we conclude that △ACO is congruent to △BCO by the .
Answer:
We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because
✔ all radii of the same circle are congruent.
We also know that AC ≅ BC since
✔ tangents to a circle that intersect are congruent.
Using the reflexive property, we see that
✔ side CO is congruent to side CO.
Therefore, we conclude that △ACO is congruent to △BCO by the
✔ SSS congruence theorem.
please mark brainliest.... hope you have a great day ! XD
The two column proof of the fact that △ACO is congruent to △BCO is; SSS Congruence Theorem
How to write the two column proof?
We are given that;
angle AOB is a central angle of circle O
angle ACB is a circumscribed angle of circle O.
Now, AO ≅ BO. The reason is because all radii of the same circle are congruent.
We are told that; AC ≅ BC. The reason is because tangents to a circle that intersect each other are congruent.
Using the reflexive property, we see that side CO is congruent to side CO.
Finally, we can conclude that △ACO is congruent to △BCO by the SSS congruence theorem.
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PLEASE ANSWER QUICKLY!
How do I graph this?? I think the range is all 4 because there is not constant ratio but help me to graph it please.
Answer:
X=-2 y=1/16
X=-1 y=1/4
X=0 y=1
X=1 y=4
X=2 y=16
Don't mind the ones in the negative when plotting just keep them in mind and use the bigger numbers, since the scale is big
Step-by-step explanation:
When putting a negate power you just inverse the equation while keeping the power the same and only changing the sign
i.e: 4^(-3)=1/4³
32 is 4 more than twice a
number. What is the number?
Answer:
The number you are looking for is 14.
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2). What are the coordinates of P'? P'(1, 2) P'(1, 1) P'(1, –3) P'(4, 4)
Answer:
(1, -3)
Step-by-step explanation:
If the point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).
To get the coordinate of P', we will replace x as 6 and y as -1 in the translation given as shown
Coordinate of P' = (6 -5, -1, -2)
Coordinate of P' = (1, -3)
hence the coordinate of P' is (1, -3)
Answer:
p'(1 -3)
Step-by-step explanation:
Find the area of the trapezoid.
12.5 cm
6 cm
17.5 cm
A. 90 cm2
B. 118.75 cm2
C. 130 cm2
D. 146.25 cm2
Answer: A.90 cm^2
Step-by-step explanation: A= a+b/2 h
A= 17.5+12.5/2 *6
A = 30/2*6
A= 15*6
A=90
in 6 hours heather reads 30 chapters of a book what is her rate in chapters per hour
Answer:
5 chapters per hour
Step-by-step explanation:
30chapters/6hours = 5 chapters/hour
solve the triangle give the measure of y
Given:
In triangle [tex]BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle BGU,
[tex]\tan B=\dfrac{GU}{BU}[/tex]
[tex]\tan 44^\circ=\dfrac{7}{y}[/tex]
[tex]0.966=\dfrac{7}{y}[/tex]
Isolating y, we get
[tex]y=\dfrac{7}{0.966}[/tex]
[tex]y=7.2463[/tex]
[tex]y\approx 7.2[/tex]
Therefore, the correct option is A.
Please help! If you do I'll mark your answer 'Brainliest' and you will get 57 points!
Answer:
your answer is A.
Step-by-step explanation:
1280%20=256
256 x 45=115.20
hope this helps<3
Find the surface area of the triangular prism?
Answer:
Step-by-step explanation:
Surface area of a triangular prism
Height = 8cm
12cm
10cm
This given as:
S.A = B + Ph
Se tienen cuatro libros de Matemáticas, tres Biología y tres Religión ¿De cuántas maneras diferentes se pueden ordenar todos los libros en línea recta?
Answer:
4,200
Step-by-step explanation:
Tenemos un total de:
4 libros de matemáticas
3 libros de biología
3 libros de religión
10 libros en total.
Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.
Primer libro (tenemos 10 opciones)
segundo libro (tenemos 9 opciones, porque ya colocamos un libro)
tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)
Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:
C = 10*9*8*7*6*5*4*3*2*1 = 10!
Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.
Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.
Entonces el número total de combinaciones diferentes es:
[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]
Hay 4200 diferentes formas de ordenar los libros.
If it takes 4 jugs to water 15 plants, how many plants can you water with 12
jugs?
Answer:
31.2
Step-by-step explanation:
Divide 4/15= 2.66
12x2.6= 31.2
This might be wrong..
what is 52x – 9x + 123 = -143.6
One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.
What would happen to the width of the confidence interval if the confidence level increased to 95%?
Answer:
The width of the interval would increase.
Step-by-step explanation: