You may use k to represent the constant of variation in your working if necessary.
Answers
Answer:
r = 1.6
Step-by-step explanation:
given r varies directly with m² and inversely as n then the equation relating them is
r = [tex]\frac{km^2}{n}[/tex] ← k is the constant of variation
to find k use the condition r = 18 when m = 6 and n = 4 , then
18 = [tex]\frac{k(6)^2}{4}[/tex] = [tex]\frac{36k}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
72 = 36k ( divide both sides by 36 )
2 = k
r = [tex]\frac{2m^2}{n}[/tex] ← equation of variation
when m = 2 and n = 5 , then
r = [tex]\frac{2(2)^2}{5}[/tex] = [tex]\frac{2(4)}{5}[/tex] = [tex]\frac{8}{5}[/tex] = 1.6
Related Questions
The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate
Answers
Answer is 5
Slope is found by finding change in y over change in x
First I solved for Y, -15-3= -18
So I knew x had to be -9 for the slope to be 2
See picture for detailed math
Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is
Plssss i need the answer
Answers
The measure of the third angle in the triangle is 104 degrees
How to determine the measure of the third angles?Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.
Answers
The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
Limit of the function
The limit of the function is determined as follows;
[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]
The derivative of the function;
[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]
Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
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A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
Answers
Middle - cherry
Most likely - grape
can anyone tell me what points I plot these two at ? ty
Answers
Answer:
Both graphs in 2 separate attachments--placed in order
Hope it helps.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
Let's solve for x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]
P.S here's the graph that might help you!
Let's solve of x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]
P.S here's the second image of the graph. so, you won't get confused.
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
Answers
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
If ABCD and MNPQ are squares, where M is the center of the first. Calculate x
Answers
Answer:
x=48º
Step-by-step explanation:
Evaluate the following indefinite integral
Answers
Step-by-step explanation:
try this solution, the answer is underlined with orange colour.
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
115 degrees
Step-by-step explanation:
180-165
=115
~rere
Answer:
x = 115°
Step-by-step explanation:
Given angle y = 65°
Find angle x
=> x + y = 180
=> x + 65° = 180
=> x = 180 - 65
=> x = 115°
HOPE THIS HELPS AND HAVE A NICE DAY <3
Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer
Answers
Step-by-step explanation:
the united set of A and B contains every element of both sets without listing any element twice.
so, it is
{1, 2, 4, 5, 7, 8, 11}
3. x² +(y + 2)2 = 64
Center:
Radius:
Answers
Answer:
Center: (0, -2)
radius: 8
Explanation:
Given equation: x² + (y + 2)² = 64
The Circle Formula:
(x - h)² + (y - k)² = r²
where (h, k) are points of center. r denotes radius
So rewrite the equation in circle formula:
x² +(y + 2)² = 64
(x- 0)² +(y + 2)² = 8²
Identify followings:
h = 0, k = -2, radius = 8
I need help in this question
Answers
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
( 100 points + brain ) My dropshipping business makes me 11,000$ - 40,000$ a month, At this rate how much money could I make in a year? how much money could I make in 20 years? how much money could I make in 60 years?
Answers
Answer:
One year: Between $132,000 and $480,000.
20 years: Between $2,640,000 and $9,600,000.
60 years: Between $7,920,000 and $28,800,000.
Step-by-step explanation:
If it makes between 11,000 and 40,000 a month, you should take both values and average them or make an estimate. Since there are 12 months in a year, 11,000*12 = $132,000 minimum, 40,000*12 = $480,000 maximum.
In 20 years, 132,000*20= $2,640,000 minimum, 480,000*20 = $9,600,000 maximum.
In 60 years, 2,640,000*3 = $7,920,000 minimum, 9,600,000*3 = $28,800,000 maximum.
If you want to be more specific, you need to find the average number of times you make certain amounts of money per month to find how likely it is to make a certain amount.
Answer:
taking my points back
Step-by-step explanation:
Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
Answers
The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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I need help asap please
Answers
Answer:
17.5
Step-by-step explanation:
Two points which lie on the line are : (0, 0) and (4, 70)
Constant of proportionality :
y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5write 615000 in scientific notation
Answers
Answer:
6.15 × 10⁵
Step-by-step explanation:
When converting a number of scientific notation, we need to move the decimal point until the number is greater than 1 and less than 10, then multiply this by 10 to the power of the number of places we moved the decimal point (negative when moving it forwards, positive when moving it backwards).
Therefore, 615000 = 6.15 × 10⁵
The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?
Pls help
Answers
Find f¹(x) for the function f(x)= x/3
f¹(x) = [?]x
Answers
Answer:
3x
Step-by-step explanation:
f(x) = x/3
let , y=f(x)
or y=x/3
inter changing x and y, we get,
x=y/3
or, 3x=y. ( cross multiplication)
therefore f-1(x) 3x
Which figure could Jose have constructed?
Answers
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
What is the measure of Angle A in the triangle
shown?
Answers
Answer:
44degrees
Step-by-step explanation:
I've just replaced letter A with x so that I can make it easier for me to get the value of x and after adding 54 + 82 I got 136 and when I transferred it to the other side I subtracted it from 180 because it had a positive sign before it and if it is carried out the other side it becomes a negative which means I should subtract hope you got me.
in short once a positive number is carried to the other side I mean past the equals sign then it changes to negative hope it helps
Which type of question is most useful in a group discussion?
A. Closed questions
B. Open questions
C. Multiple choice questions
D. Written responses
Answers
Answer:
B
Step-by-step explanation:
it is B I am so sorry if it is wrong
A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
Answers
Answer:
B = R 100 000
Step-by-step explanation:
B will be 2 out of 4 + 3 + 2 = 2/9 of the total
2/9 * 450 000 = 100 000
A spinner has three sections. This table shows the results of spinning the arrow on the spinner 80 times.
Section 1=18 Section 2=30 Section 3=32
What is the experimental probability of the arrow stopping on Section 2?
9/40
1/3
3/8
2/5
Answers
The experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex]. is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1.
No of arrows given in the different section ;
Section 1=18
Section 2=30
Section 3=32
The probability that the arrow stopping on Section 2 is found as;
[tex]\rm P = \frac{Favourable \ outcomes }{Total \ outcomes } \\\\\ P= \frac{30}{18+30+32} \\\\ P=\frac{30}{80}\\\\ P= \frac{3}{8}[/tex]
Hence, the experimental probability of the arrow stopping on Section 2 will be [tex]\rm \frac{3}{8}[/tex].
More about the probability link is given below.
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Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
Answers
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
More about the mean link is given below.
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What is true about open-end credit? OA It is not typically used for a single purchase but for many purchases over a period of time. B. This type of credit is sometimes referred to as a consumer loan. OC. This type of credit is commonly used for big ticket things like mortgages or car loans. Payments typically stay the same amount from month to month.
Answers
Answer:
Option B
Step-by-step explanation:
Open end credit 's biggest example is our credit card
You use credit card and take the money borrow from bank as per your requirement.If you pay in time your credit score increases else decreases.Option B is correct
The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answers
Answer:
1986.8m³
Step-by-step explanation:
Radius=7.8m
Volume of sphere =4/3pi r³
=4/3×3.14×7.8³=1986.8m³
Suppose that you have $14,000 to invest and you are trying to decide between investing in project A or project B. If you invest in
project A, you will receive a payment of $17,000 at the end of 3 years. If you invest in project B, you will receive a payment of $56,000
at the end of 23 years. The annual interest rate is 6 percent and both projects carry no risk.
Instructions: Round your answers to the nearest dollar. Do not round your intermediate calculations.
a. What is the present value of each project? Enter your answers in the table below.
Present Value
Project A =
$
Project B =
$
b. Which project will you choose for your investment?
Project A
Project B
Answers
mark drops a ball from a window 90ft above the sidewalk. The ball always bounces third it’s height. How far will the ball have to travel when it hits the sidewalk the 3rd time?
PLEASE ANSWER QUICK
Answers
What is the distance between B to A
Please add the method.
The angle is 61 (a bit blurry)
Answers
Now
tan61=BH/OHtan61=BH/1980BH=1980tan61BH=3572(Rounded)AB
8+35723580Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta[/tex] = ∠AOHO = AH = 8A = OH = 19.80[tex]\implies \sf \tan(\angle AOH)=\dfrac{8}{19.8}[/tex]
[tex]\implies \sf \angle AOH = 22.00069835^{\circ}[/tex]
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
[tex]\theta[/tex] = ∠BOH = 38.99930165°O = HBA = OH = 19.80Substituting given values:
[tex]\implies \sf \tan(38.99930165^{\circ})=\dfrac{HB}{19.80}[/tex]
[tex]\implies \sf HB=19.80 \tan(38.99930165^{\circ})[/tex]
[tex]\implies \sf HB=16.03332427[/tex]
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?
Answers
Answer:
9
Step-by-step explanation:
Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.
We can then convert 60% into the decimal .6 and multiply it by 15.
15 x .6 = 9