1. Plug in " -2 " into f
f(-2) = 3 (-2) - 1
f(-2) = -6 - 1
f(-2) = -7
2. Plug in "5" into g
g(5) = -(5) + 6
g(5) = -5 + 6 = 1
3. Add what you got when you solved for f(-2) and g(5) together
f(-2) + g(5) = ?
f(-2) + g(5) = -7 + 1
f(-2) + g(5) = -6
Your answer is A
Don't forget to vote brainliest! I hope I helped! :)
F(x)= 3x -1
G(x)= -x + 6
F(-2) + g(5)= ?
F(-2)= 3(-2) -1
F(-2)= -6 -1
F(-2)= -7
G(5)= -5 + 6
G(5)= 1
F(-2) + g(5) =
-7 + 1 = -6
A) -6
A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft. Approximately how long does it take for the ball to hit the ground? Acceleration due to gravity is 32 ft./s^2.
A. 2.35 seconds
B. 2.47 seconds
C. 6.46 seconds
D. 6.50 seconds
Answer:
T= 2.35 seconds
Step-by-step explanation:
⇒The question is on the time of flight.
⇒Time of flight is the time taken for a projected object to reach the ground.It depends on the projectile angle and the initial velocity of the projectile
Given;
Initial velocity of ball= 110ft./sec.
The projectile angle= 20°
Acceleration due to gravity, g=32 ft./s²
⇒Formulae for time of fright T= (2×u×sin Ф)/g
Where T=time of fright, u=initial velocity of projectile, Ф=projectile angle and g=acceleration due o gravity.
Substituting values
T= (2×u×sin Ф)/g
T=( 2×110×sin 20°) / 32
T= 2.35 seconds
Answer:
Option B - Time taken for the ball to hit the ground is 2.47 seconds.
Step-by-step explanation:
Given : A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees above the ground from a height of 4.5 ft.
To find : How long does it take for the ball to hit the ground?
Solution :
According to question,
The equation that models the height of the ball in feet as a function of time is
[tex]h(t) = h_0 + v_0t -16t^2[/tex]
Where, [tex]h_0[/tex] is the initial height,
[tex]v_0[/tex] is the initial velocity and
t is the time in seconds.
We have given,
Initial height, [tex]h_0=4.5 ft.[/tex]
A ball is thrown with a slingshot at a velocity of 110 ft./sec. at an angle 20 degrees.
The initial speed, [tex]v_0=110\times \sin(206\circ)[/tex]
[tex]v_0=37.62ft/s[/tex]
We have to find the time for the ball to hit the ground i.e. h(t)=0
Substitute all the values in the formula,
[tex]0 =4.5+ 37.62t -16t^2[/tex]
Applying quadratic formula to solve the equation,
The solution of quadratic general equation [tex]ax^2+bc+c=0[/tex] is
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Where, a=-16 , b=37.62 , c=4.5
Substituting in the formula,
[tex]t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}[/tex]
[tex]t=\frac{-37.62\±\sqrt{1703.2644}}{-32}[/tex]
[tex]t=\frac{-37.62\±41.270}{-32}[/tex]
[tex]t=\frac{-37.62+41.270}{-32},\frac{-37.62-41.270}{-32}[/tex]
[tex]t=-0.114,2.47[/tex]
neglecting the negative value
t=2.47 seconds
Therefore,Option B is correct.
Time taken for the ball to hit the ground is 2.47 seconds.
Solve the equation...
Answer:
D) π/2 and 3π/2
Step-by-step explanation:
The equation can be factored:
(1 -sin(x))(1 +sin(x)) = 0
The factors will be zero when ...
sin(x) = 1 ⇒ x = π/2
sin(x) = -1 ⇒ x = 3π/2
For the system shown below, what are the coordinates of the solution that lies in quadrant 1?
Write your answer in the form (a,b) without using spaces.
[tex]3y^2-5x^2=7\\3y^2-x^2=23[/tex]
The answer in the first quadrant is
(2,3)
P(A) =0.20 P(B) = 0.25 P(A and B) = 0.10. What is P(B/A)?
A. 0.25
B. 0.40
C. 0.50
D. 0.05
Answer:
Final answer is [tex]P(B/A)=0.5[/tex]
Step-by-step explanation:
Given that P(A) =0.20
P(B) = 0.25
P(A and B) = 0.10.
Now we need to find about what is the value of P(B/A).
P(A and B) = P(A) * P(B/A)
Plug the given values into above formula:
[tex]0.10=0.20\cdot P(B/A)[/tex]
[tex]\frac{0.10}{0.20}=P(B/A)[/tex]
[tex]0.5=P(B/A)[/tex]
[tex]P(B/A)=0.5[/tex]
Hence final answer is [tex]P(B/A)=0.5[/tex]
Answer:
c is the answer
Step-by-step explanation:
The length of a rectangle is 24 units. Can the perimeter x of the rectangle be 60 units when its width y is 11 units? A. No, the rectangle cannot have x = 60 and y = 11 because x = 48 + 2y b. No, the rectangle cannot have x = 60 and y = 11 because x = 24 + 2y c. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 48 d. Yes, the rectangle can have x = 60 and y = 11 because x + y is greater than 24
Answer:
A
Step-by-step explanation:
The formula for the Perimeter of a rectangle is P = 2W + 2L.
Let's equate this to 60 units and substitute 11 for W and 24 units for L:
2(11 units) + 2(24 units) = 22 units + 48 units = 70 units. NO (Answer A)
20 points. It’s in the picture. Right answer only please
I believe it’s B. hope it’s right!
Correlation Coefficients. Image attached for the problem.
A. 11
B. 9
C. 3
D. 5
Answer:
A
Step-by-step explanation:
y bar basically means the average of the y-values.
To get the average, we add up all the y-values in the table and divide by the total number of values (here we have 5 values). Hence,
y bar = [tex]\frac{5+7+10+15+18}{5}=11[/tex]
correct answer is A
What is the difference of 21x / 3x^2 - 2 and 7 / 3x^2 - 2. Show steps
Answer:
Final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]
Step-by-step explanation:
We have been given two terms [tex]\frac{21x}{3x^2-2}[/tex]
and [tex]\frac{7}{3x^2-2}[/tex]
Now we need to find their difference. So let's subtract them
[tex]\frac{21x}{3x^2-2}-\frac{7}{3x^2-2}[/tex]
Denominators are equal so we can easily subtract numerators
[tex]=\frac{21x-7}{3x^2-2}[/tex]
We may factor the numerator but we won't get any factor in denominator that can be cancelled with numerator.
Hence final answer is [tex]\frac{21x-7}{3x^2-2}[/tex]
Line segment AB has a slope of 4/3 and contains point A (6,-5). What is the y-coordinate of point Q(2, y) if QA is perpendicular to line segment AB.
Answers:
y = −2
y = −1
y = 2
y = −3
[tex]\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~AB}{\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}\impliedby \textit{slope of QA} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf A(\stackrel{x_1}{6}~,~\stackrel{y_1}{-5})\qquad Q(\stackrel{x_2}{2}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-(-5)}{2-6}=\stackrel{\textit{QA's slope}}{-\cfrac{3}{4}}\implies \cfrac{y+5}{-4}=\cfrac{-3}{4} \\\\\\ 4y+20=12\implies 4y=-8\implies y=\cfrac{-8}{4}\implies \boxed{y=-2}[/tex]
50 POINTS!! :) A dog that has been tethered has a 20 foot lead makes the path shown here. If the length of the path is 45 feet, the measure of angle 0 is ___ radians.
Answer:
The measure of angle theta is [tex]\theta=2.25\ radians[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=20\ ft[/tex]
substitute
[tex]C=2\pi (20)[/tex]
[tex]C=40\pi\ ft[/tex]
step 2
Find the measure of angle theta
we know that
The circumference of a circle subtends a central angle of [tex]2\pi\ radians[/tex]
so
using proportion
Find out the measure of the central angle by a length of arc equal to 45 ft
[tex]\frac{40\pi}{2\pi}=\frac{45}{\theta}\\ \\\theta=2*45/40\\ \\ \theta=2.25\ radians[/tex]
Answer: 2.25 radians
Step-by-step explanation:
Can somebody please help me.
Answer:
72
Step-by-step explanation:
The two acute angles add up to 90 degrees. That's because the given triangle is a right triangle.
So x + 4x + 90 = 180 All triangles = 180°. Combine left side terms.
5x + 90 = 180 Subtract 90°
5x + 90 - 90 = 180 - 90 Combine
5x = 90 Divide by 5
5x/5 = 90/5 Combine
x = 18
The larger angle is 4x so
The larger angle = 4*18 = 72
What should be done to solve the following equation?
d - 8 = 9
Subtract 8 from both sides of the equation.
Add 8 to both sides of the equation.
Add 9 to both sides of the equation.
Subtract 9 from both sides of the equation.
Add 8 to both sides of the equation.
You need to get x by itself. The only way to do that here is to do the opposite of subtracting 8, which is adding 8.
Also, when you do something to one side of the equation, you have to also do it to the other side to keep the equation equal.
Answer: Add 8 to both sides of the equation
Step-by-step explanation:
d - 8 = 9
in this equation you need to solve for d. To do that you have to get d by itself.
By adding 8 to both sides of the equation you cancel out the -8 and add 8 to 9 which solves for d.
Find the domain and range of the function f(x)=-5 cos^2x
Answer:
domain: (-∞, ∞) ; range: [-5, 0]
Step-by-step explanation:
Let's begin with the basics:
The domain of cos x is (-∞, ∞); the range is [-1, 1].
The domain of cos²x is still (-∞, ∞).
Likewise, the domain of -5 cos²x is(-∞, ∞).
The range of cos²x differs: it is [0, 1] because squaring a negative number results in a positive output.
Multiplying cos²x by 5 expands the range to [0, 5].
Finally, multiplying 5 cos²x by -1 changes the range to [-5, 0].
Answer:
C
Step-by-step explanation:
Cuz edge
A 12 pack of cola costs $5.46. How much does one can of cola cost?
Answer:
46¢
Step-by-step explanation:
Note that there are 12 cola's in all. The total cost is $5.46. Divide the total cost with the amount of cola's there is:
5.46/12 = 0.455
Round: 0.455 rounded to the nearest hundredths is $0.46 (You round to the nearest hundredths, for the smallest amount for US currency is a penny, which is 1/100 of a dollar bill).
Each cola costs $0.46
~
Spencer opened a savings account and deposited $10. The account pays 3.5% interest and compounds the interest monthly. How much money will Spencer have after 10 years? **n=12 because it is compounded monthly.
Answer:
[tex]\$14.18[/tex]
Step-by-step explanation:
we know that
The compound interest formula is equal to
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
[tex]t=10\ years\\ P=\$10\\ r=0.035\\n=12[/tex]
substitute in the formula above
[tex]A=P(1+\frac{0.035}{12})^{12*10}=\$14.18[/tex]
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Which situation involves descriptive statistics?
Answer:
The median price of a new home
Step-by-step explanation:
The Wright family recently went out to dinner. They ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. The sales tax is 7.675 %. Mr. Wright paid with a $50 bill. Mr. Wright always leaves a 15% tip on the total bill (excluding tax). How much more money will he need in order to leave a 15% tip?
A
$ 3.00
B
$ 4.23
C
$ 6.00
D
$ 7.20
Answer:
B
Step-by-step explanation:
First
Get totals for food items:
Pizza $14.95 ×2=$29.90
Salad=$4.35
Drinks $2.49 ×4=$9.76
Total Bill
$29.90
$ 4.35
+$ 9.76
$44.21 Food Bill
Second Step
Find Tip Amount Before Tax
Total Bill $44.21 × .15=$6.63 Tip
Third Step
Find Tax on Total Food Bill
$44.21 × .07675=$3.39
Fourth Step
Find amount left from paying bill with tax.
Total Bill including tax:
$44.21 (bill) +$3.39 tax=$47.60
Cash $ 50.00
Total Bill - $47.60
$ 2.40 Change left over
Fifth Step
Find amount needed to give $6.63 tip from above.
We have $2.40 we need $6.63
Subtract $6.33 -$2.40=$4.23 more money needed for tip
The correct option is B. $ 4.23. Mr. Wright needs an additional $4.23 to leave a 15% tip.
First, we need to calculate the total cost of the meal before tax and tip. The Wright family ordered two pizzas at $14.95 each, a salad at $4.35, and four drinks at $2.49 each. So, the cost of the pizzas is [tex]2 \times $14.95[/tex], the salad is $4.35, and the drinks are 4 \times $2.49.
Cost of pizzas: [tex]2 \times $14.95 = $29.90[/tex]
Cost of salad: $4.35
Cost of drinks: [tex]4 \times $2.49 = $9.96[/tex]
Total cost before tax: [tex]\$29.90 +\$\4.35 + \$\9.96 = \$\44.[/tex]21
Next, we calculate the sales tax, which is 7.675% of the total cost before tax.
Sales tax: [tex]\$\44.21 \times 7.675% = \$\44.21 \times 0.07675 = \$\3.39[/tex]
Now, we add the sales tax to the total cost before tax to get the total cost including tax.
Total cost with tax: [tex]\$\44.21 + \$\3.39 = \$\47.60[/tex]
Mr. Wright wants to leave a 15% tip on the total bill before tax. So, we calculate 15% of the total cost before tax.
Tip: [tex]\$\44.21 \times 15% = \$\44.21 \times \$\0.15 \times \$\ 6.63[/tex]
Mr. Wright paid with a $50 bill, so we subtract the total cost with tax from $50 to find out how much change he should receive.
Change from [tex]\$50: $50 - $47.60 = $2.40\[/tex]
To find out how much more money Mr. Wright needs to leave a 15% tip, we subtract the change he receives from the tip amount.
Additional money needed: [tex]\$6.63 - $2.40 = $4.23\[/tex]
Therefore, Mr. Wright needs an additional $4.23 to leave a 15% tip.
Find the length of segment BC. Please help ASAP
BC also has length 12 because arcs DC and CE add up to 117 degrees in measure, so that arc DE is congruent to arc BC, and the chords DE and BC that respectively intercept these arcs must also be congruent.
Please help!! Having a hard time with this question...!
A quadrilateral is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work and/or explain how you got your answer.
m∠z=
I know this because…
m∠x=
I know this because…
m∠y=
I know this because…
(Please answer the question presented in the format in the question)
Answer:
Step-by-step explanation:
The angle you can get right away is z.
z + 93 = 180
z + 93 - 93 = 180 - 93
z = 87
===============
The next step is to solve for y. You need to draw a line from y to the center and another one from z to the center.
The triangle containing part of y and part of z has a central angle of 106 degrees.
Part of y + partz + 106 = 180
part of y + partz = 74
part of y = partz = 37 The triangle is isosceles because 2 of the legs are radii.
Do the same thing from 93 to the center and the other part of y to the center.
The central angle is 58
The two other angles are equal
part of y + part of 93 + 58 = 180
partofy + partof93 = 180 - 58
partofy + partof93 = 122
partofy = part93 = 61
So
y = 61 + 37 = 98
========================
x + y = 180 (opposite angles in a quadrillateral that fits in a circle = 180)
x + 98 = 180
x = 82
====================
x = 82
y = 98
z = 87
CAN LIFT 10 POUNDS BY PUTTING 30 POUNDS OF WEIGHT ON A LEAVER HOW MUCH FORCE NEEDED TO LIFT A 25 POUND WEIGHT
Answer:
Is it a decimal?
Step-by-step explanation:
A sinusoidal source is usually described by the function cos(ωt+ϕ), where the units of the frequency ω are radians/second and the units of the phase angle ϕ are degrees. this means that the product ωt has the units radians, which cannot be added to the phase angle in degrees. to evaluate the value of the sinusoidal source at a given time, you must transform the product ωt to degrees or the phase angle to radians before performing the addition in the cosine argument. if the voltage source is given by v(t)=50cos(2000t−45∘) mv, find v(392.7 μs). express your answer with the appropriate units.
Answer:
49.999999999999974312306505198184 V
Step-by-step explanation:
Step 1: you see 45°, which gives you a easy conversion [tex]\frac \pi 4[/tex]).
Now, [tex]t = 392.7 \mu s = 392.7* 10^{-6} s[/tex], start replacing.
[tex]V= 50 cos ( 2* 10^3 * 392.7 *10^{-6} -\frac \pi 4) = 50 cos (0.7854 - \frac \pi 4) =\\ 49.999999999999974312306505198184 V[/tex]
Elroy and Rose are at Schematic to buy a school planner. There are 333 colors (purple, red, and blue) and 222 formats (lined and unlined) offered. They each created a display to represent the sample space of randomly picking a color and a format.
Answer:
Both
Step-by-step explanation:
The total number of options that will be are 6. The representation made by both Elroy and Rose is correct.
What is the total number of options available?The total number of options available is the product of a total number of options available in different sectors.
Given that number of colors is 3 while the number of formats is two. Therefore, the total number of options that are available will be 6 which is the product of the two.
As we can see that both have pointed out each of the six options, therefore, the representation made by both Elroy and Rose is correct.
Learn more about Number of options:
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Vince read 1 /4 of his book on Monday. He read 2/ 4 more of his book on Tuesday. How much of his book did Vince read on the two days?
Answer:3/4
Step-by-step explanation: Since he read 1/4 on Monday and 2/4 on Tuesday that would add up to 3/4
2 fair dice are rolled. what is the probability that the sum is even given that the first die is rolled is a 2?
Wouldnt you add 6+6=12 then divide that with the probability of getting a 2?
===================================================
Explanation:
"given that the first die rolled is a 2" means we know 100% that the first die shows a 2. Either we can see the die or a friend is telling us the status. Since we know the first die is a 2, this means we can effectively ignore it. Everything will hinge on the second die. If the second die shows an odd number, something like 1, then 2+1 = 3 is the result which is also odd.
The general rule is odd+even = odd and even+even = even.
Therefore, the two dice must together be even for the sum to be even.
Of the six possible ways to roll a die {1,2,3,4,5,6}, there are 3 even values {2,4,6} so the chances of rolling an even number on the second die is 3/6 = 1/2. Again we dont need to consider the first die at all since everything practically hinges on this second die.
Answer:
50%
Step-by-step explanation:
For the total to be even, when the first number is even, the second number also has to be even.
2, 4, and 6 are even, out of 6 numbers. That is 3 numbers out of 6, which gives us that the probability is 1 out of 2, or 50%.
If g=26.4 and F=35° find h. Round to the nearest tenth (picture provided)
For this case we have to, by definition:
[tex]cos (F) = \frac {h} {26.4}[/tex]
This means that, the cosine of the angle F, will be equal to the leg adjacent to the angle on the hypotenuse of the triangle.
So, by clearing h we have:
[tex]h = 26.4 * cos (35)\\h = 26.4 * 0.81915204\\h = 21.6256[/tex]
Rounding out the value of h we have:
[tex]h = 21.6[/tex]
Answer:
Option B
Answer:
The correct answer is option b. 21.6
Step-by-step explanation:
Points to remember:-
Trigonometric ratio
Cos θ = adjacent side/Hypotenuse
From the figure we can see a right triangle triangle FGH.
To find the value of h
It is given that, g=26.4 and F= 35°
Cos F = adjacent side/Hypotenuse
Cos 35 = adjacent side/Hypotenuse
= FG/FH = h/g
h = g * Cos F = 26.4 * Cos 54 = 26.4 * 0.8191 = 21.62 ≈ 21.6
Therefore the correct answer is option b. 21.6
PLEASE HELP Me
Thank u!!
Answer:
Length = 13
x = 80
Step-by-step explanation:
Question One
Let the width = x
Let the length = x + 5
Area = 104
Equation
Area = L * W
Area = (x+5)*x
Solution
x ( x + 5) = 104 Remove the brackets
x^2 + 5x = 104 Subtract 104 from both sides.
x^2 + 5x - 104 = 104 - 104
x^2 + 5x - 104 = 0 Factor the equation
(x + 13)(x - 8) = 0
Only x - 8 = 0 works
x = 8
The width = 8
The Length = 8 + 5 = 13
Question Two
Draw AP
<BAP = 20o The triangle (APB) is isosceles: 2 sides are radii
<BPA = 180 - 20 - 20 The three angles of a triangle = 180
<BPA = 140 Combine
Similarly <CAP = 140 Go through exactly the same steps.
<BPA + <CAP + X = 360 The total of the 3 angles in the center = 360
140 + 140 + X = 360 Combine
280 + X = 360 Subtract 280 from both sides.
x = 80
Find the equation of the line specified. The line passes through the points ( -2, 3) and ( -4, 7)
Answer:
[tex]y=-2x-1[/tex]
Step-by-step explanation:
Let the first coordinate point be (x_1,y_1) and the second coordinate point be (x_2,y_2)
So
x_1 = -2
y_1 = 3
x_2 = -4
y_2 = 7
Now we can use the formula for equation of line to figure it our.
Equation of line formula is [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Plugging in the known values and arranging in slope-intercept form, we have:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-3=\frac{7-3}{-4-(-2)}(x-(-2))\\y-3=\frac{4}{-2}(x+2)\\y-3=-2(x+2)\\y-3=-2x-4\\y=-2x-4+3\\y=-2x-1[/tex]
This is the equation of the line passing through the points ( -2, 3) and ( -4, 7)
Final answer:
To find the equation of the line, the slope is calculated as -2, using the point-slope form with one of the points yields y - 3 = -2(x + 2). Simplifying this, the equation of the line is y = -2x - 1.
Explanation:
To find the equation of a line passing through two points, first, determine the slope (m) of the line. The slope is calculated as the change in y (vertical) divided by the change in x (horizontal). For the points (-2, 3) and (-4, 7), the slope is:
m = (y2 - y1) / (x2 - x1) = (7 - 3) / (-4 + 2) = 4 / (-2) = -2.
Next, use the point-slope form:
y - y1 = m(x - x1),
where (x1, y1) is a point the line passes through. Using point (-2, 3) and the slope -2:
y - 3 = -2(x + 2).
Rewrite this equation in slope-intercept form (y = mx + b) by simplifying and solving for y:
y = -2x - 4 + 3,
y = -2x - 1.
Therefore, the equation of the line passing through the points ( -2, 3) and ( -4, 7) is y = -2x - 1.
The diameter of an open parachute is 15 ft. if the distance from the parachute to the center of the diameter is 8 ft, what is the length of the suspension line (from the harness to the edge of the open chute)?
The length of the suspension line from the harness to the edge of the open chute is approximately 10.97 ft.
Explanation:To find the length of the suspension line, we can use the Pythagorean theorem. The distance from the parachute to the center of the diameter is the radius of the parachute, which is half the diameter. Therefore, the radius is 15 ft / 2 = 7.5 ft. The suspension line is the hypotenuse of a right triangle with one leg being the radius and the other leg being the distance from the parachute to the edge of the open chute. Using the Pythagorean theorem, we can calculate the length of the suspension line as follows:
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25) A group of 35 people are going to run a
race. The top three runners earn gold,
silver, and bronze medals.
A) Permutation: 39,270
B) Combination: 78,540
© Combination: 19.635
Permutation: 157,080
Answer:
A
Step-by-step explanation:
There are calculators online that you can use to answer this, some even show you the work step by step
The variables x and y vary inversely with a constant variation of 6. Find y when x=12.
Answer:
y = 1/2
Step-by-step explanation:
If two variables x and y vary inversely, then:
xy = k
where k is the constant variation.
In this case:
xy = 6
When x = 12:
12y = 6
y = 1/2
The value of y when x is 12 is 2 (option C)
What is inverse variation?Inverse variation is the relationship between two variables, such that if the value of one variable increases then the value of the other variable decreases. Example is the price of a commodity and the quantity acquired, the higher the price, the lower of commodity bought and vice- versa.
here, we have,
Inverse relationship between two quantities x and y is expressed as:
x= ky
where k is the constant
k = 6
when x = 12
12 = 6y
divide both sides by 6
y = 12/6
y = 2
therefore the value of y when x is 12 is 2
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