The constant of variation k for the inverse variation is found to be 8. When x = 32 is substituted into the formula y * x = k, we find that y = 0.25.
Explanation:In problems where y varies inversely with x, it means that their product is constant. This can be represented as y * x = k, where k is the constant of variation. Given that y = 16 when x = 0.5, we can find the constant by plugging these values into the formula. Hence, 16 * 0.5 = k, so k = 8.
Now to find y when x = 32, we substitute these values into the formula. We know that y * 32 = 8, so y = 8 / 32. This simplifies to y = 0.25.
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How many revolutions is 900 degrees
9 revolutions
3 revolutions
2.5 revolutions
4.5 revolutions
Answer: 2.5
Step-by-step explanation:
One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.
Explanation:To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.
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Macy has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbors dogs. How many days will Maisie have to walk the dogs to an enough money to buy the tickets? let “d” equal the number of days worked. also , what is the equation you would use to solve this ??
Answer:
125=15d+50
Step-by-step explanation:
Subtract what she has from what she needs so 125-50=75
Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5
She will have to work 5 days in order to have enough to buy her ticket
Answer:50+15d=125
5 days
Step-by-step explanation:
Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days
Mr. fudge is going to roll two fair dice. what is the probability that the sum will be 4 or less?
Answer:
I think it's 8\12
Step-by-step explanation:
there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot
The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.
Explanation:To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.
The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.
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A cone has a radius of 2 and it’s volume is 29 cubic units. What is the height of the cone ?
Answer: v= pi.r².h/3
29= 22/7.2².h/3
29×3×7/22×4= h
609/88=h
6.92=h
Step-by-step explanation:
I need help plz it is for khan academy
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 1)
m = [tex]\frac{1-0}{0+1}[/tex] = 1
John is 35 years old, and makes $30,000 per year. If he were to die, how much
would the beneficiaries of his life insurance policy receive if they can get by
on 75% of his income?
Current Gross Earnings
$ 7.500
9,000
15,000
23,500
30,000
40,000
65,000
MULTIPLES-OF-SALARY CHART
Current Age
25 Years 35 Years 45 Years
75% 60% 75% 60% 75% 60%
4.0 3.0 - 5.
5 4 .0 7.5 5.5
4.0 3.0* 5.5 4.0 7.5 5.5
4.5 3.0 6.5 4.5 8.0 6.0
6.5 4.5 8.0 5.5 8.5 6.5
7.5 50 8.0 6.0 8.5 6.5
7.5 5.0 8.0 6.0 8.0 6.0
7.5 55 7.5 6.0 7.5 6.0
55 Years
75% 60%
6.5 4.5
6.5 4.5
7.0 5.5
7.5 5.5
7.0 5.5
7.0 5.5
6.5 5.0
A. $188,000
B. $240,000
C. $140,000
D. $150,000
Answer:
240,000
Step-by-step explanati
Answer:
240000
Step-by-step explanation:
Find the perimeter of the figure.
square with a measure of 1x1
triangle with a measure of 5x3x3
Answer:
what does the shpe look like
Step-by-step explanation:
Answer:
perimeter=2
perimeter = 11
Step-by-step explanation:
How many integers are there between -8 and 2?
Group of answer choices
Answer:
Step-by-step explanation:
{-7,-6,-5,-4,-3,-2,-1,0,1 }
9 numbers between -8 and 2.
A car travels at an average speed of 64 miles per hour. How long does it take to travel 224 miles?
Answer:
3.5 hours
Step-by-step explanation:
Use the formula:
distance=rate*time
224=64t
Divide by 64 on both sides
t=3.5
So, it takes 3.5 hours to travel 224 miles
Hope this helps! :)
6 times a number decreased by 5
Answer:
[tex]6n - 5[/tex]
Step-by-step explanation:
Step 1: Rewrite as a numerical expression
[tex](6 * n) - 5[/tex]
[tex]6n - 5[/tex]
Answer: [tex]6n - 5[/tex]
If needed, solve
[tex](6 * n) - 5 + 5 = 0 + 5[/tex]
[tex]6n / 6 = 5 / 6[/tex]
[tex]n = 5/6[/tex]
Answer:It is the result is 7 more than the sum of 3 times the number and 13.
Step-by-step explanation:
What is the surface area of the pyramid? units²
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
Answer:
95 units²
Step-by-step explanation:
Find the area of the base and the four triangles
Base
(5)(5) = 25 units²
Triangles
1/2(7)(5)*4
1/2(140)
70 units²
Add them together -- 70+25 = 95 units²
In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
Answer:
Step-by-step explanation:
0.53 is the answer to the nearest hundredth.
To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.
In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:
cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53
Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.
The fictitious state of Aribraska has a graduated state income tax.
Residents pay 3% on the first $15,000 of income.
The next $25,000 earned is taxed at a rate of 5%.
Any money earned above $40,000 is taxed at 7%.
The income tax for Aribraska is modeled by a piecewise defined function.
Over which part of the domain is the piecewise function defined as
f(x) = 0.05x – 300?
An Aribraska resident who earns $32,000 would owe how much in tases?
$1,300
$1,600
$1,740
Answer:
$1300
Step-by-step explanation:
The piecewise function is defined as f(x) = 0.05x - 300 over the income range of $15,000 to $40,000. An Aribraska resident who earns $32,000 would owe $1,600 in taxes.
Explanation:The piecewise function is defined as f(x) = 0.05x - 300 over the part of the domain where the income is between $15,000 and $40,000. This is because the tax rate of 5% is being applied to the income in this range. For any income above $40,000, the tax rate is 7%, so the function would not be equal to 0.05x - 300.
To calculate the amount of taxes owed by an Aribraska resident who earns $32,000, we need to determine the income range that applies to this amount. Since $32,000 is within the range of $15,000 to $40,000, we can use the piecewise function to calculate the taxes:
f(32,000) = 0.05(32,000) - 300 = 1,600
Therefore, an Aribraska resident who earns $32,000 would owe $1,600 in taxes.
find the cube roots of -8. Write the answer in a+bi form
Answer:
[tex]-2 + 0i[/tex]
Step-by-step explanation:
Step 1: Find the answer
[tex]\sqrt[3]{-8}[/tex]
[tex]\sqrt[3]{(-2)^3}[/tex]
[tex]-2[/tex]
[tex]-2 + 0i[/tex]
Answer: [tex]-2 + 0i[/tex]
Can someone check if this is right
-3x + y =-9
12x – 4y = 24
The probability that a certain state will be hit by a major tornado (category F4 or F5) in any single year is 1/18. Use this information to answer the questions below
(A) What is the probability that the state will be hit by a major tornado two years in a row?
Answer:
The probability that the state will be hit by a major tornado two years in a row is 0.00309.
Step-by-step explanation:
Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.
For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.
In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].
Consider the event that a state was hit by the major tornado.
The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.
The two events are independent.
Compute the probability that the state will be hit by a major tornado two years in a row as follows:
P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)
[tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]
Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.
The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.
Explanation:The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.
To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).
So, the calculation is (1/18) * (1/18) = 1/324.
This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.
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C is directly proportional to the square of D and when C=32, D= 4. Find C when D= 3
Answer:C=6
Step-by-step explanation:C directly proportional to D
C=kD where k=constant
C=32, D=4×4
32=k16
K=32÷16
K=2
Now D=3 and k=2
C=kD
C=2×3
C=6
Answer: c=18
Step-by-step explanation:
C is directly proportional to square of D
C € D2
€ rep directly proportional
C=kd2
K is a constant
C=32
D=4
Substitute
32=k(4^2)
32=k(16)
32=16k
K=32/16
K=2
Since we know our constant k to be 2
Substitute
We are looking for c,when d=3
C=kd2
C=2×(3^2)
C=2×9
C=18
Can you help me with this question please
Answer:
Claire will get 12,800 pounds of interest
Step-by-step explanation:
6.4% of 200,000 is 12,800
How did I get 6.4? 1.6 * 4 = 6.4
pls help me i’ll give u a brainlest
Answer:
9 square feet.
Step-by-step explanation:
First, set up this equation: 486 = 6(x^2)
Divide 486 by 6 to get 81, and square root both sides to get x = 9.
a and b are complementary angles. Za measures 44°.
What is the measure of b?
Answer:
46
Step-by-step explanation:
So angle b equals to 46 degrees
Complementary angles equal to 90 degrees when added together. So set the equation to 90.
44+x=90
Subtract 44 from both sides
x=46
Can someone help me pls
Answer: -17/15 or simplified as a mixed number -1 2/15
Step-by-step explanation: First convert both -4/5 and 1/3 to fifteenths. Multiply -4/5 by 3/3 to get -12/15. Multiply 1/3 by 5/5 to get 5/15. Then subtract 5/15 from -12/15. -12-5=-17 (numerator).
What is... 4X + 1/2 (4X + 6) = 12
Answer:
9/6 or 3/2 or 1 1/2
Step-by-step explanation:
Do distributive property to get rid of the parenthesis
4x + 2x + 3 = 12
combine like terms
6x + 3 = 12
move the 3 over by subtraction
6x = 9
divide by 6
x = 9/6 or 3/2 or 1 1/2
Answer:
Exact Form:
X
=
3 /2
Decimal Form:
X
=
1.5
Step-by-step explanation:
The area of a trampoline is 49 pi sqared. What's the diameter of the trampoline?
Answer:
The diameter is 14
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
We know the area is 49 pi
49 pi = pi r^2
Divide each side by pi
49 pi/ pi = pi r^2/pi
49 = r^2
Take the square root of each side
sqrt(49) = sqrt(r^2)
7 =r
We want the diameter
d = 2r
d = 2*7
d = 14
all of the following are equivalent except
7x2
4x+3x
(4+3)x
7x
Answer:
7x2
Step-by-step explanation:
7x2 is 14 and all the other ones equal 7
4x+3x,(4+3)x, and 7x are equivalent except 7x^2
Let's solve:
4x+3x=7x
(4+3)x=7x
Hope it will help u...
A rectangle is 4 times longer than it is wide. The perimeter of the rectangle is 30 cm. Find the dimension of the rectangle.
Width is 3 cm and length is 12 cm
Step-by-step explanation:
Step 1: Let the width of the rectangle be x. Then the length = 4x. Find the dimensions if perimeter = 30 cmPerimeter of the rectangle = 2 (length + breadth)
30 = 2(x + 4x)
30 = 10x
⇒ x = 30/10 = 3
⇒ 4x = 12
write an equation of the line that is parallel to 5x+20y=10 and passes through the point (8,3).
Answer:
20y = -5x + 10
y = -1/4x + 1/2
y - 3 = -1/4(x - 8)
y - 3 = -1/4x + 2
y = -1/4x + 5
Step-by-step explanation:
Does 0=-4p+4p have a solution
Answer:
No it doesn’, the result will be 0 as -4 + 4 = 0
Try it on your calculator and see
Step-by-step explanation:
Answer:
Simplifying
0 = -4p + 4p
Combine like terms: -4p + 4p = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Step-by-step explanation:
A 3" × 5" rectangle is dilated by a scale factor of 2. what will its new perimeter be?
Answer:
6" × 10"
Step-by-step explanation:
Because the dilation is a whole number we know the rectangle will be enlarging, and we are told this is by two. So you will take and multiply the dimensions by two.
(2 × 3") × (2 × 5")
Hope this helps :) Please mark brainliest if you see fit :)
Sari is factoring the polynomial 2x2 +5x+3. If one factor is (x+1), what is the other factor?
0 2X-3
2x+3
3x-2
ard
3x+2
s Notebo..
8-19-
TER 2:
12-20,
01-07
Answer:
2x + 3
Step-by-step explanation:
Given
2x² + 5x + 3
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = 2 + 3 = 5
The factors are 2 and 3
Use these factors to split the x- term
2x² + 2x + 3x + 3 ( factor the first/second and third/fourth terms )
= 2x(x + 1) + 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x + 3) ← in factored form
Thus the other factor is (2x + 3)
Answer:
2x+3
Step-by-step explanation:
It's B on edg