If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz
Answers
The value of constant of variation is, 5.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
⇒ p varies jointly as q and the cube of r.
Since, p varies jointly as q and the cube of r.
Hence, We can formulate;
⇒ p = k × q × r²
Where, k is constant of variation.
Here, p = 270 when q = 6 and r = 3.
Substitute all the values, we get;
⇒ p = k × q × r²
⇒ 270 = k × 6 × 3²
⇒ 270 = 54k
⇒ k = 270 / 54
⇒ k = 5
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Related Questions
What description is correct for the polynomial 4x*2 + 3x -2
Answers
Answer:
it is a 2nd degree trinomial
Step-by-step explanation:
the highest power is the power two, and it has three parts
if a model of an airplane is 1/16 scale (1 in.= 16ft), how many inches long would the model be if a certain airplane were 48 ft long?
Answers
Answer:
3inchs
Step-by-step explanation:
So with the information we have we know that the airplane is 48ft long and the model is at a 1/16 scale with 1inch=16ft so we just need to divide 48/16 which equals 3
find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answers
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
= 1,500 (1 + 0.07/4)^4*5
= 1,500 (1 + 0.0175)^20
= 1,500 (1.0175)^20
= 1,500 (1.4148)
= 2,122.20
A = $2,122.20
solve for a 2a + ab = b
Answers
Step 1: factor out variable a.
a(b+2)= b
Step 2: divide both sides by b+2.
a(b+2)/ b+2 = b/b+2
What is the distance between -23 and 6
Answers
Answer:
29
Step-by-step explanation:
add 23 to cancel the negative then add 6 to get the final answer
Answer:
29 units.
Step-by-step explanation:
The distance is 6 - (-23)
= 6 + 23
= 29 units.
Amit’s school bus travelsat 36km/hr and Sushma’s school bus travels at 11 m/s. Whose school bus is faster ?
Answers
Answer:
This answer is not originally mine so Don give me credit
Step-by-step explanation:
Amit's school bus in m/s will be
36×1000/3600
36 × 10/36
= 10 m/s
While sushma's school bus has speed of 11 m/s
so sushma's school bus is faster than Amit's school bus
Answer:
Amit's: 10 m/s
Sushma's 11 m/s
Step-by-step explanation:
Amit's:
36 x 1000/3600
36 x 10/36
Sushma's:
11 m/s
Sushma's school bus is faster than Amit
use mathematical language to decribe three different patterns in the following triangle.
Answers
Answer:
What's the triangle though?
Step-by-step explanation:
Answer:
Not enough Data
Step-by-step explanation:
Solve the equation.
d-7 = -18
Answers
Answer:
d=-11
Step-by-step explanation:
Answer:
A) d = -11
Step-by-step explanation:
d - 7 = -18 (add 7 on both sides)
+7 +7
d = -11
Hope this helps!!!
The speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth. About how many seconds does it take light to travel from Sirius to Earth? Write your answer in scientific notation, rounded to the nearest hundredth.
Answers
Answer:
2.72 × 10^8 seconds
Step-by-step explanation:
1. Organize the given information to help you create the equation:
- Light travels 1.86 × 10^5 miles per 1 second
- Light travels 5.062 × 10^13 miles per n seconds
- Need to solve for n
2. Set up the equation (Make sure that both numerators and both denominators match units, so the seconds are either both on top or both on bottom, NOT switched):
[tex]\frac{1.86 * 10^5}{1}[/tex] = [tex]\frac{5.062 * 10^1^3}{n}[/tex]
3. Cross multiply (Multiply the first fraction's numerator by the second's denominator, and vice versa. It doesn't matter what number is on which side of the = sign)
n × (1.86 × 10^5) = 5.062 × 10^13
4. Solve for n by isolating the variable and dividing.
[tex]\frac{n (1.86 * 10^5)}{1.86 * 10^5}[/tex] = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = [tex]\frac{5.062 * 10^1^3}{1.86 * 10^5}[/tex]
n = 2.72 × 10^8 (Make sure to include the unit, seconds)
The number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
Given that, the speed of light is about 1.86×10^5 miles per second. The star Sirius is about 5.062×10^13 miles from Earth.
We need to find out how many seconds it takes light to travel from Sirius to Earth.
What is scientific notation?To determine the power or exponent of 10, let us understand how many places we need to move the decimal point after the single-digit number.
If the given number is multiples of 10 then the decimal point has to move to the left, and the power of 10 will be positive.If the given number is smaller than 1, then the decimal point has to move to the right, so the power of 10 will be negative.Let the number of seconds it takes light to travel from Sirius to Earth be n seconds
Now, the proportion=[tex]\frac{1.86\times10^{5}}{1} =\frac{5.062\times10^{13}}{n}[/tex]
⇒[tex]n=\frac{5.062\times10^{13}}{1.86\times10^{5}}[/tex]
⇒[tex]n=2.72\times10^{13-5}=2.72\times10^{8}[/tex]
Therefore, the number of seconds it takes light to travel from Sirius to Earth is [tex]2.72\times10^{8}[/tex].
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Select the correct answer. What is this expression in simplified form? (√22)(5√2) A. 10√11 B. 12√11 c. 20√11 D. 24√11
Answers
Answer:
A. 10[tex]\sqrt 11[/tex]
Step-by-step explanation:
Just took the test and got it right! Hope this helps!
The simplified form of expression is [tex]10\sqrt{11}[/tex].
What is an expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Given expression
[tex](\sqrt{22})(5\sqrt{2})[/tex]
= [tex](\sqrt{22} )(\sqrt{25}) (\sqrt{2} )[/tex]
The expression is in the form of [tex]\sqrt{x} .\sqrt{y} .\sqrt{z} =\sqrt{x.y.z}[/tex]
= [tex]\sqrt{22.(25).(2)}[/tex]
= [tex]\sqrt{11.(2).(25).(2)}[/tex]
= [tex]\sqrt{11.(100)}[/tex]
= [tex]\sqrt{100} .\sqrt{11}[/tex]
= [tex]10\sqrt{11}[/tex]
The simplified form of expression is [tex]10\sqrt{11}[/tex].
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There were 16 bald eagles in an area some years later there were 28 bald eagle‘s in the area what is the percent game
Answers
Of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
a. Graph A
b. Graph B
c. Graph C
d. Graph D
Answers
Answer:
Graph B
Step-by-step explanation:
the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.
what is square root of 22
Answers
Final Answer: [tex]4.69[/tex]
Steps/Reasons/Explanation:
Step 1: You will need to find the perfect square root of a number that is less than [tex]22[/tex]. So [tex]4^{2}[/tex] is [tex]16[/tex].
Step 2: Write down the square root of [tex]16 = 4[/tex].
Step 3: Solve [tex]\frac{22 - 16}{4 * 2}[/tex] which is [tex]0.75[/tex].
Step 4: Add [tex]4 + 0.75 = 4.75[/tex], so [tex]\sqrt{22}[/tex] is approximately ≈[tex]4.7[/tex].
~I hope I helped you :)~
Which expressions are equivalent to 6a(5+d) ?
Select each correct answer.
30a+6ad
30ad
30a+(6a⋅d)
(6a⋅5)+(6a⋅d)
11a + d
Answers
Answer: A is correct i think
Step-by-step explanation: 6a x 5 = 30a
6a x d = 6ad
Answer:
A
Step-by-step explanation:
I just want ppl to check, extra points too!
Answers
Answer:
thats correct
Step-by-step explanation:
i had that on my test and i ot it right
Someone please help me
Answers
4 (3n-2) is the answer.
Woops. Sorry I had no idea that it said expression (s) instead of expression, but that is one of the answers though.
Answer:
second box fourth box and 5th box
Step-by-step explanation:
Sarah drove 40 miles per hour. In 3 hours, Sarah drove 120 miles. Which is a valid proportion to represent this description?
Answers
Answer:
40 mi / h = 120 mi / 3h
Step-by-step explanation:
needed points so i juss looked it up btw its the right answer double checked it wit my smart as$ brother
Answer:
The answer is A
Step-by-step explanation:
I just did a test and got it right!
Which of the following is a true statement about the rhombus shown
Answers
Answer:
Option D is the correct answer
Step-by-step explanation:
Since, diagonals of a rhombus bisects at right angles.
[tex]\therefore m\angle STP = 90\degree \\ [/tex]
9514 1404 393
Answer:
D) m∠STP = 90°
Step-by-step explanation:
In general, the diagonals of a rhombus are different lengths and the corner angles are not 90°. (The exception in both cases is when the rhombus is a square.)
However, it is always true that the diagonals are perpendicular bisectors of each other, so all angles at T are 90°.
m∠STP = 90°
some paint has spilled on a 8x8 chess board. is it possible that the number of stained cells is 17 less than the number of the unstained cells? why or why not?
Answers
Answer:
Impossible
Step-by-step explanation:
I need someone to please explain to me how my homework is done cause I’m lost and it’s due in a bit so
Answers
Answer:
7 : 3
Step-by-step explanation:
Answer:
7:3
Step-by-step explanation:
In the big square, there are 100 tiny squares.
There are 70 shaded squares.
There are 30 unshaded squares.
The ratio is 70:30
Simplify by dividing by 10 on both sides.
7:3
i will give brainliest to whoever answers thiss!!
Answers
Answer:
y=3
Step-by-step explanation:
-5y=-11-4
-5y=-15
y=-15/-5
y=3
Hope this helps u...
Answer:
y=3
Step-by-step explanation:
i am not sure
look at the screenshot for question
Answers
Answer:
X equals 3 y equals 1
Step-by-step explanation:
15x 5 y
E: I’m really like chicken that oil
What is the sin value of 5pi/3
Answers
Answer:√(3)/2
hope that helped you:)
please make my answer brainiest as im trying get 4 brainiest answers
There are 13 apples in a basket. 5 of these apples are green. The rest of them are red.
What is the ratio of all apples in the basket to red apples?
What is the ratio of green apples to red apples?
Answers
Answer:
7:13
5:8
Step-by-step explanation:
Do 13 minus 5 and that is number of red apples. So the ratio is 8 to 13 total apples. So there are 5 green apples and 8 red apples so it’s going to be 5:8
Kenia rotated Triangle ABC 90° counterclockwise to create Triangle A’B’C’. If Kenia performed this transformation correctly, what is the measure of angle B'? What is the measure of angle A and C. Number value only. URGENT
Answers
Answer:
B' = 105°
C = 27°
A = 48°
Step-by-step explanation:
Given
B = 105°
C = (2x - 3)°
C' = (5x - 48)°
Rotation = 90°
Before solving the requirements of this question, it should be noted that rotation do not change the angle of shapes.
i.e. an angle retain its measurements pre and after rotation.
Solving (a): The measurement of B'
Using the analysis above.
B' = B
Recall that
B = 105°
So:
B' = 105°
Solving (b): A and C
First, I'll solve for C.
Using the same analysis above.
C = C'
Substitute values for C and C'
5x - 48 = 2x - 3
Collect like terms
5x - 2x = 48 - 3
3x = 45
Multiply both sides by ⅓
⅓*3x = ⅓*45
x = 15
Substitute 15 for x in
C = (2x - 3)°
C = 2 * 15 - 3
C = 30 - 3
C = 27°
Solving for A
The sum of angles (A, B and C) is represented as:
A + B + C = 180
Substitute values for B and C
A + 105° + 27° = 180°
A + 132° = 180°
Collect like terms
A = 180° - 132°
A = 48°
Solve the equation
1/2 k + 2 = 5 + 5/6 k
a. 2 1/4
b. -9
c. 9
d. -21
Please select the best answer from the choices provided
Answers
Answer:
1/2k+2=5+5/6k
-3 = 5/6k-1/2k
-3=2/6k
k= -9
Final Answer: [tex]k = -9[/tex]
Steps/Reasons/Explanation:
Question: Solve the equation [tex]\frac{1}{2} k + 2 = 5 + \frac{5}{6}k[/tex]. Please select the best answer from the choices provided.
[tex]a.[/tex] [tex]2\frac{1}{4}[/tex]
[tex]b.[/tex] [tex]-9[/tex]
[tex]c.[/tex] [tex]9[/tex]
[tex]d.[/tex] [tex]-21[/tex]
Step 1: Simplify [tex]\frac{1}{2}k[/tex] to [tex]\frac{k}{2}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5}{6}k[/tex]
Step 2: Simplify [tex]\frac{5}{6}k[/tex] to [tex]\frac{5k}{6}[/tex].
[tex]\frac{k}{2} + 2 = 5 + \frac{5k}{6}[/tex]
Step 3: Multiply both sides by [tex]6[/tex] (the LCM of [tex]2, 6[/tex]).
[tex]3k + 12 = 30 + 5k[/tex]
Step 4: Subtract [tex]3k[/tex] from both sides.
[tex]12 = 30 + 5k - 3k[/tex]
Step 5: Simplify [tex]30 + 5k - 3k[/tex] to [tex]30 + 2k[/tex].
[tex]12 = 30 + 2k[/tex]
Step 6: Subtract [tex]30[/tex] from both sides.
[tex]12 - 30 = 2k[/tex]
Step 7: Simplify [tex]12 - 30[/tex] to [tex]-18[/tex].
[tex]-18 = 2k[/tex]
Step 8: Divide both sides by [tex]2[/tex].
[tex]-\frac{18}{2} = k[/tex]
Step 9: Simplify [tex]-\frac{18}{2}[/tex] to [tex]-9[/tex].
[tex]-9 = k[/tex]
Step 10: Switch sides.
[tex]k = -9[/tex]
~I hope I helped you :)~
can anyone help me figure out how to do this
Answers
Answer:
[tex]133m^2[/tex]
Step-by-step explanation:
What if i say NO?
jk
3*3=9
8+3=11
12-3=9
sp
9*11=99
2 area coverd so far
99+9=108
7*2=14
108+14=122
Lastly the tir
10-7=3
11-3-2=6
6*4=24
24/2=12
[tex]133m^2[/tex]
In a recent game, Syler played 4 minutes of each period. The four periods
are each 16 minutes. What fraction of the game did Syler play? Can you
represent it as a percentage
Answers
Answer: 25%
Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
Answers
Answer:
−1.43000372×[tex]10^{29}[/tex]
Step-by-step explanation:
76763476-2345-345-324-23+5324+345234÷6847397475287365x3789127482297547 85345455345325234-345325+32453892727-2566663487296236582345x54287395 79238365379245÷97438528453492= what
76763476-2345-345-324-23+5324+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
76765763+(1.91041289x[tex]10^{22}[/tex])-345325+32453892727-(1.43000391x[tex]10^{29}[/tex])
−1.43000372×[tex]10^{29}[/tex]
Answer:
It is a mystery to me
Step-by-step explanation:
Mr. Grey is planning to fly an airplane from Smithville straight to Sandia. The distance from Smithville to Sandia is 1.5 inches on the map. What’s the actual distance from Smithville to Sandia, in miles?
Answers
Answer:
running back the new York city police officer who was arrested on a charge for allegedly carrying out a stolen vehicle was