If y varies jointly as x and z and inversely as the square of w, and y = 3 when x = 3, Z = 10, and w = 2, then y = 4 when x = 4, z = 20, and w= 4.
True or False ?
Answer:
True ; it is true
Step-by-step explanation:
The statement that y = 4 when x = 4, z = 20, and w= 4 is not true because the constant of proportionality is not equals to 2 / 5.
What is variation?Variation describes a simple relationship between two variables.
Therefore, y varies jointly as x and z and inversely as the square of w
y ∝ xz ∝ 1 / w²
Therefore,
y = kxz / w²
where
k = constant of proportionality
Hence,
y = 3
x = 3
z = 10
w = 2
yw² / xz = k
k = 3 × 2² / 3 × 10
k = 12 / 30
k = 6 / 15 = 2 / 5
Therefore, let's test for y = 4 when x = 4, z = 20, and w= 4.
k = 4 × 4² / 4 × 20
k = 64 / 80
k = 16 / 20 = 4 / 5
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A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
Answer:
a) 9676.1053731 rad/min
b) 1540 rpm
Step-by-step explanation:
A truck with 30-inch diameter wheels is traveling at 70 mi/h. Find the angular speed of the wheels in radians per minute. ___ radians per minute How many revolutions per minute do the wheels make? (Round your answer to three decimal places.) ____ revolutions per minute
truck with 30-in.-diameter wheels is traveling at 70 mi/h.
---------
1 mile per hour = 88 feet per minute
70 mi/hr = 6160ft/minute
----------
Each revolution = pi*d feet = 4pi feet
(b) How many revolutions per minute do the wheels make?
rev/min
-------------
Each revolution = pi*d feet = 4pi feet
rpm = 6160 ft/min / 4pi feet = 990/pi rpm
=~ 1540 rpm
---------------
(a) Find the angular speed of the wheels in rad/min.
rad/min
-------------
rad/min = rpm*2*pi
= 1540 rpm × 2× π
= 9676.1053731 rad/min
There are stars to circle there are 4 stars and 2 circles how much is the ratio
Answer:
2:1
Step-by-step explanation:
The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.
Answer:2 stars for every one circle
Step-by-step explanation:
hope you get what i mean if not sorry my friend
simplify this complex fraction 4/3/2/5
Answer:
If the question is (4/3) / (2/5), then the answer is 10/3 or 3 and 1/3
Step-by-step explanation:
HEEEEEEEEEEEELLLLLLPPPPPPPPP
I need help on this one.
Answer: 1/3
Step-by-step explanation:
HELP ME PLEASE geometry only answer if you know please!
Answer:
2. Reason: Addition Property of Equality
3. Statement: 3x=18
4. Reason: Division property of Equality
5. Statement: x=6 Reason: Simplifying.
Step-by-step explanation:
I'm pretty sure this is correct.
How many decimals are between the number zero and -1
Answer:
an infinite amount
Step-by-step explanation:
Think about it this way:
A decimal between 0 and -1 is -0.1, right?
But so is -0.11...
...And -0.111, and -0.1111, and so on.
Since you can add any amount of decimal places, the number of potential decimal numbers between 0 and -1 must be infinite.
HTH :)
Which of the following ratios is not equivalent to 2:10
A.1/5
B.2/5
C.4/20
D.6/30
Answer:
D because 6/30 is not the same as 2:10
Answer:
2/5 is not equibalent to 2:10
Step-by-step explanation:
2:10
1/5 × 2 = 2/10
2/5 × 2 = 4/10
4/20÷2 = 2/10
6/30÷3 = 2/10
What is the sum of -6 and 12/6
Answer:
-4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
multiply -6 with 6 so we can have common denominator as 12/6
that's gives us -36/6+12/6
-36+12 is -24 so our answer up till now will be -24/6.... this can be simplified by 6 to get -4
pls mark this as brainliest!!!!
Abdul has bought 30 pounds of dog food. He feeds his dog
2/3 pounds for each meal. For how many meals will the food last?
Answer: I think its 45 days
Step-by-step explanation: hope this helps
What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0
Answer:
X=4,4
Step-by-step explanation:
2 x^2 – 16 x + 32 = 0
2(x^2-8x+16)=0
X^2-(4+4)X+16=0
x^2-4x-4x+16=0
x(x-4)-4(x-4)=0
(x-4)(x-4)=0
X=4,4
So the solution is X=4,4
The formula for the circumference of a circle is: c = 2πr Solve for the radius, r, by dividing both sides by 2π. What is the formula for the radius of a circle in terms of the circumference? r = 2 pi c r = StartFraction c Over 2 pi EndFraction r = StartFraction pi Over 2 c EndFraction r = StartFraction 2 pi Over c EndFraction
Answer:
B/ r = c divided by 2 pi
Step-by-step explanation:
The formula for radius would be C / 2π
what is Circumference of circle?The circumference of a circle is defined as the linear distance around it.
C=2πr
Given:
c = 2πr
To find the expression for radius we have to follow the steps
c = 2πr
r= c/2π
Hence, the expression for radius is c/2π
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Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant
Answer:
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Step-by-step explanation:
Given the expression dy/dx=xy+6x+4y+24
To find the solution, we are to make y the subject of the formula as shown
dy = (xy+6x+4y+24)dx
∫dy =∫(xy+6x+4y+24)dx
y = ∫(xy+6x+4y+24)dx
We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;
y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx
y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx
Integrate;
y = yx²/2 + 6x²/2 + 4yx + 24x + K
y = yx²/2 + 3x² + 4yx + 24x + K
Hence the solution to the differential expression is;
f(x, y) = yx²/2 + 3x² + 4yx + 24x + K
Where K is the constant of integration.
12cm and 9cm respectively, find its length. (एउटा कोठाको चार भित्ताको क्षेत्रफल 420 वर्ग
The area of four walls of a room is 420 sq. cm. If the length and breadth of the room are
area of four walls of the room? (परिमिती 32 साम
कोठाको चार भित्ताको क्षेत्रफल कति होला?)
सेमि छ । यदि उक्त कोठाको लम्बाई र चौडाई क्रमशः 12cm र 9 cm भए उचाई पत्ता
लगाउनुहोस ।
Given Length of Cuboid = 12cm
Given Breadth of Cuboid = 9cm
Given height of Cuboid = 8cm
Total Surface area of cuboid = 2(lb + bh + hl)
where, l stands for legth of the cuboid, b stands for breadth of the cuboid and h stands for height of the cuboid.
Put the given values of l,b and h in the formula
=> Total surface area of cuboid = 2((12×9)+(9×8)+(8×12))
=> 2(108 + 72 + 96)
=> 2(180 + 96)
=> 2 × 276
=> 552 sq. cm is the total surface area of cuboid
An article on polygraph testing of FBI agents indicated that the probability of a false-positive (a trustworthy person who nonetheless fails the test) is 0.25. Let x be the number of trustworthy FBI agents tested until someone fails the test. (Round your answers to four decimal places.)(a) Describe the probability distribution of x.
normalgeometric binomial(b) What is the probability that the first false-positive will occur when the third person is tested?(c) What is the probability that fewer than four are tested before the first false-positive occurs?(d) What is the probability that more than three agents are tested before the first false-positive occurs?
Answer:
???
Step-by-step explanation:
Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)
Answer:
Yes
Step-by-step explanation:
A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the water and the container, W, in pounds and the amount of water, A, in gallons?
Answer: W= 8.34A
Step-by-step explanation:
Given: Weight of a gallon of water = 8.34 pounds
Then, weight of the water in container = (Weight of a gallon of water ) x (amount of water)
If A = amount of water (in gallons)
W = weight of the water in container ( in pounds)
i.e. [tex]W= 8.34A[/tex]
Hence, the required equation : W= 8.34A
Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. In the second model, 25 squares are shaded and 75 are unshaded. 1.25% 12.5% 125% 1250%
Answer:
125%
Step-by-step explanation:
Answer:
C- 125
on edge
Step-by-step explanation:
Joe borrowed $3,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 6 years?
Answer:
1260
Step-by-step explanation:
I'm not 100% sure this is correct
Answer:
$1,260
Step-by-step explanation:
I = Prt
I = 3,000 (0.07) (6)
I = 3,000 (0.42)
I = 1,260
Joe paid $1,260 in 6 years.
Help please! I’ll give brainliest if correct!
Answer:
The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. As the formula shows, the z-score is simply the raw score minus the population mean, divided by the population standard deviation.
Step-by-step explanation:
Hope his helps!
if the graph of an exponential function is increasing is the domain always all real numbers
Answer:
D) The domain of the function is all real numbers
Step-by-step explanation:
W
The model represents 100% of the cost of a trip to the
Bahamas
Which model represents the cost of the trip if the trip cost is
discounted 26%?
Answer:
B. 74 / 100
Explanation:
I got it right on the test :)
Help please? Write the equation for the Red line.
evaluate the expression for x = 3 y= 1/3 and z= 5. 12 x - 3y over 4 x - Z
Answer:
35.786
12(3) - 3(1/2)/4(3) - 5
This is then further simplified to:
36 - 1.5/7
And when you divide 1.5 by 7, the number (rounded) is .214.
Thus, subtract, and gain the final answer of 35.786.
Hope this helps!
Step-by-step explanation:
Can you please mark me brainliest
Hey there!
12x - 3y / 4x - z
= 12(3) - 3(1/3) / 4(3) - 5
= 36 - 1 / 12 - 5
= 35 / 7
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Factor and find the zeros. z^2-z+56
Answer:
Sry its long but if your to lazy to look thru it here is the answer= z = {-7, 8}
Step-by-step explanation:
Simplifying
z2 + -1z + -56 = 0
Reorder the terms:
-56 + -1z + z2 = 0
Solving:
-56 + -1z + z2 = 0
Solving for variable 'z'.
Factor a trinomial.
(-7 + -1z)(8 + -1z) = 0
Subproblem 1
Set the factor '(-7 + -1z)' equal to zero and attempt to solve:
Simplifying:
-7 + -1z = 0
Solving:
-7 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + -1z = 0 + 7
Combine like terms: -7 + 7 = 0
0 + -1z = 0 + 7
-1z = 0 + 7
Combine like terms: 0 + 7 = 7
-1z = 7
Divide each side by '-1'.
z = -7
Simplifying:
z = -7
Subproblem 2
Set the factor '(8 + -1z)' equal to zero and attempt to solve:
Simplifying:
8 + -1z = 0
Solving:
8 + -1z = 0
Move all terms containing z to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + -1z = 0 + -8
Combine like terms: 8 + -8 = 0
0 + -1z = 0 + -8
-1z = 0 + -8
Combine like terms: 0 + -8 = -8
-1z = -8
Divide each side by '-1'.
z = 8
Simplifying:
z = 8
Solution
z = {-7, 8}
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2601 with a mean life of 1191 minutes. If the claim is true, in a sample of 167 batteries, what is the probability that the mean battery life would differ from the population mean by less than 3.5 minutes?
Answer:
i do not know i will try .
What is the slope of a line parallel to the line whose equation is x+2y=10.fully reduce your answer
Answer:
slope: 0.5x
Step-by-step explanation:
1. -x +10
2. -1/ 2 = -0.5
3. 10/2 = 5
4. y = 0.5x + 5
Write the given equation in the form of an equation of a sphere and find its center and radius.
x2 + y2 + z2 = 12x + 2y
equation =
center (x, y, z) =
radius =
Complete whatever squares you can:
x² - 12x = x² - 12x + 36 - 36 = (x - 6)² - 36
y² - 2y = y² - 2y + 1 - 1 = (y - 1)² - 1
So rewrite the equation as
x² + y² + z² = 12x + 2y
→ x² - 12x + y² - 2y + z² = 0
→ (x - 6)² - 36 + (y - 1)² - 1 + z² = 0
→ (x - 6)² + (y - 1)² + z² = 37
Then the center is (x, y, z) = (6, 1, 0), and its radius is √(37).
Answer:The radius is the square root of the constant term, z
Step-by-step explanation:
edge 2021
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
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