Find the constant of variation k for the direct variation.

A . K = -2

B . K = 2

C . K = -0.5

D . K= -1.5

Answer:

Step-by-step explanation:

which gives us a percent increase of 66.7%

which gives us a percent increase of 20%

Answer:45

Step-by-step explanation:

Well just take the sim of the two given angles then subtract them from the total measure of the triangle which is 180

The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

To learn more about Tangential and normal acceleration link is here

brainly.com/question/30029917

#SPJ4

The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

Answer:

3053.63 un³

Step-by-step explanation:

Hello!

The diameter is 18, so the radius is half of the diameter, or 9.

Using the volume of a sphere formula: \(\frac43\pi r^3\)

Solve:

The volume is 3053.63 un³.

Answer:

It is D. 21

Step-by-step explanation:

The inverse function is defined as follows:

f^(-1)(x) = (1 + 2x)/(2 - 3x)

Hence the domain is:

x ≠ 2/3.

The function for this problem is defined as follows:

y = (2x - 1)/(3x + 2).

To obtain the inverse, we first must exchange the instances of x and y on the function, hence:

x = (2y - 1)/(3y + 2).

Now we must isolate the variable y, hence:

3yx + 2x = 2y - 1

3yx - 2y = -1 - 2x

y(3x - 2) = -1 - 2x

y(2 - 3x) = 1 + 2x

y = (1 + 2x)/(2 - 3x)

Hence the domain is:

2 - 3x ≠ 0

3x ≠ 2

x ≠ 2/3.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Answer:

A (0,6)  B (6, 1)  C (2,2)

Step-by-step explanation:

A (4, 4)

  [-4, 2]

Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates

Image Coordinates:

A----->A¹(0,6)

B----->B¹(2,3)

C----->C¹(-2,4)

The approximate ratio of the diameter of the Sun to the diameter of Mars is 200. This means that the diameter of the Sun is approximately 200 times larger than the diameter of Mars.

The approximate ratio of the diameter of the Sun to the diameter of Mars can be found by dividing the diameter of the Sun by the diameter of Mars.

Given that the diameter of the Sun is about 1.4x10^6 km and the diameter of Mars is about 7000 km, we can calculate the ratio as follows:

1.4x10^6 km ÷ 7000 km

To divide these values, we can simplify the equation by canceling out the common factor of 1000:

(1.4x10^6 ÷ 1000) km ÷ (7000 ÷ 1000) km

Simplifying further, we have:

1.4x10^3 km ÷ 7 km

Dividing these values gives us:

200 km

Therefore, the approximate ratio of the diameter of the Sun to the diameter of Mars is 200. This means that the diameter of the Sun is approximately 200 times larger than the diameter of Mars.

Learn more about equation

brainly.com/question/29657983

#SPJ11

The amount each contestant will receive is as follows:

This year $52,000 college scholarship is being divided between the top two contestants .

Therefore,

Total amount to share to the top winners = 52000 dollars

The winner receives three times as much as the runner-up.

Therefore,

let

x = Amount received by the runner-up

Hence,

Amount the winner received = 3x

Therefore,

52,000 = 3x + x

52,000 = 4x

divide both sides by 4

4x / 4 = 52,000 / 4

x = 13000 dollars

Hence,

Amount the winner received =3(13000) = $39000

Amount received by the runner-up = $13,000

learn more amount in dollars here: https://brainly.com/question/26127040

#SPJ4

Answer:

-145

Step-by-step explanation:

Plug in -5 for x.

g(-5) = -5^3 + 4(-5)

g(-5) = -125 - 20

g(-5) = -145

Answer:

(x) = x³ + 4x and g(x) = -2x + 1 , then g{f(3)} = ? g{f(x)} = {f(x)}² - 1  AH THIS IS A HARD ONEEEEEEE

Step-by-step explanation:

The graph belοw shοws the graphs οf the linear functiοn y = 7x and the expοnential functiοn, y = 7ˣ.

Any subset οf a Cartesian prοduct is a relatiοn.

These οrdered pairings make up a binary relatiοn frοm A tο B. (a,b),

A relatiοnship οn A, mοre precisely, an A tο B relatiοnship.

These οrdered pairs (a, b) make up a binary relatiοn frοm A tο B, where the first cοmpοnent is frοm A and the secοnd cοmpοnent is frοm B.

A cοnnectiοn knοwn as a functiοn links each item in a set X tο a single item in a different set Y. (pοssibly the same set).

A graph, which is a cοllectiοn οf all οrdered pairs (x, f (x)), is the sοle way

A subset οf, fοr instance, is referred tο as a "binary relatiοnship frοmtο describe a functiοn.

Accοrding tο οur questiοn-

Bοth οf the functiοn have same value οf rate =7

But in linear functiοn y=7x , 7 is the cοnstant οf prοpοrtiοnality.

In expοnential functiοn ,y=7ˣ ,7 is the multiplicative rate οf change.

Fοr y=7x ,

x    y

1     7

2    14

3    21

y = 7ˣ

x    y

1    7

2   49

3    343

We can οbserve that the expοnential functiοn grοws faster than the linear functiοn dοes fοr. 1≤x≤3

Learn more about function here:

brainly.com/question/2253924

#SPJ1

The finance charge will be $ 0.76. Then the new balance will be $ 55.54.

Finance costs are paid to the provider in exchange for supplying cash or granting the loan.

The account balance on April 1st is $50.51.

On April 15th payment of $15.00 is made.

On April 25th a purchase of $19.27 is made.

The annual rate is 18%.

Then the finance charge will be

⇒ $ 50.51 x 0.18 / 12

⇒ $ 0.76

Then the new balance will be

New balance = $ 50.51 - $ 15 + $ 19.27 + $ 0.76

New balance = $ 55.54

More about the finance charge link is given below.

https://brainly.com/question/2588555

#SPJ1

Answer:

proportional

Step-by-step explanation:

as x increases y increases

The correct points are (1, 2) and (0,1).

To find the points that lie in the inverse of the graph of a function g(x), we need to swap the x and y values of the original graph.

Let's start by representing the original graph of g(x):

x | g(x)

-1 | 0.5

0 | 1

1 | 2

2 | 4

3 | 8

Now, we swap the x and y values:

y | x

0.5 | -1

1 | 0

2 | 1

4 | 2

8 | 3

These are the corresponding points for the inverse function.

So, the points that lie in the inverse of the graph of g(x) are:

(-1, 0.5), (0, 1), (1, 2), (2, 4), (3, 8).

Hence the correct points are (1, 2) and (0,1).

Learn more about inverse function click;

https://brainly.com/question/29141206

#SPJ1

The equivalent fractions of the following given fractions are as follows:

2/3 = 4/6 and 8/12

8/121/2 = 2/4 and 4/8

4/84/5 = 8/10 and 16/20

Equivalent fractions is defined as the fractions that can represent the same fractions when simplified to the least fraction.

The method that can be used to find equivalent fractions is through multiplying the numerator and the denominator with the same whole number.

To find the equivalent fraction of 2/3, 1/2 and 4/5 multiple through with 2 and 4. That is;

2/3 = 2×2/3×2 = 4/6 and 2×4/3×4= 8/12

1/2 = 1× 2/2×2 = 2/4 and 1×4/2×4 = 4/8

4/5 = 4×2/5×2 = 8/10 and 4×4/4×5 = 16/20

Learn more about fractions here:

https://brainly.com/question/17220365

#SPJ1

Chris owes $35 in interest to the back next month.

We know that a credit card's interest rate is nothing but the price one  pay for borrowing money. This is called the annual percentage rate (APR).

The Interest paid is calculated by the formula:

I = PTR ÷ 100

where P = Principal amount ,

R= rate of interest in percentage ,

and T= period.

Here, P = $2800,

R = 15%

T=  1 year

Using above formula,

I = (2800 x 15 x 1) ÷ 100

I = 420.

He will pay an interest of 420 ÷ 12= $35 per month.

Learn more about the interest here:

https://brainly.com/question/2144412

#SPJ4

Answer:

Step-by-step explanation:

Keaton: 60 sold products

Jimmy: x

Keaton sold three-fourths as much as Jimmy during a fundraiser

3/4 x = 60

Solve for x:

x = 60 / (3/4)

x= 80

Jimmy sold 80 products

The crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

Specific gravity at 60 °F: 0.88

API° at 60 °F: 28

Watson characterization factor: 1.014

Refractive index: 1.44

Surface tension: 20 dyne/cm

Paraffinic, naphthenic, or aromatic: Paraffinic

Specific gravity at 60 °F the specific gravity of a liquid is its density relative to the density of water. The specific gravity of crude oil is typically between 0.8 and 1.0. A specific gravity of 0.88 means that the crude oil is 88% as dense as water.

API° at 60 °F: The API°, or American Petroleum Institute gravity, is a measure of the lightness or darkness of crude oil. A higher API° indicates a lighter crude oil. A crude oil with an API° of 28 is considered to be a medium-heavy crude oil.

Watson characterization factor the Watson characterization factor is a measure of the aromaticity of crude oil. A higher Watson characterization factor indicates a more aromatic crude oil. A crude oil with a Watson characterization factor of 1.014 is considered to be a paraffinic crude oil.

Refractive index the refractive index of a liquid is a measure of how much light is bent when it passes through the liquid. The refractive index of crude oil is typically between 1.4 and 1.5. A refractive index of 1.44 indicates that the crude oil is slightly more refractive than water.

Surface tension the surface tension of a liquid is a measure of the force that acts at the surface of the liquid, tending to minimize the surface area. The surface tension of crude oil is typically between 20 and 30 dyne/cm. A surface tension of 20 dyne/cm indicates that the crude oil has a relatively high surface tension.

Based on the estimated values, the crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

Learn more about tension with the given link,

https://brainly.com/question/138724

#SPJ11

The numbers of passengers that need to be booked to ensure the cruise line makes a profit, using a compound inequality is x ≥ 2,052 and x ≤ 2,462.

From the information given, we are told that the cruise ship needs to book at least 2,052 passengers to be profitable, but the most passengers the ship can accommodate is 2,462.

Learn x be the number of people that can be accommodated. Therefore, the model is x ≥ 2,052 and x ≤ 2,462.

Learn more about inequalities on:

brainly.com/question/13051739

#SPJ1

Answer:

100

Step-by-step explanation:

percents are out of 100

Answer:

y + 2 = -0.069(x-+5)

Step-by-step explanation:

SInce the two lines intersects, we will equate it

Multiply x + 3y = 0 by 4;

4x + 12y = 0

4x-4y-13 = 0,

Subtracts both

12y +4y + 13 = 0

16y = 13

y = 13/16

get x;

x + 3(13/16) = 0

x = -39/16

The point of intersection is (0.8, -2.4) and (-5,-2)

Get the equation;

m = y2-y1/x2-x1

m = -2+2.4/-5-0.8

m = 0.4/-5.8

m = -0.069

Get the equation;

y - y0 = m(x-x0)

y - (-2)= -0.069(x-(-5))

y + 2 = -0.069(x-+5)

Answer:

938

Step-by-step explanation:

Answer:

Rs.11,111.11 (2 d.p.)

Step-by-step explanation:

The original price of the mobile is 100% of the price.

Therefore, the price of the mobile after a discount of 10% is 90% of the original price.

Let x be the original price.

If the price of the mobile after the discount is Rs.10000 then:

⇒ 90% of x = Rs.10000

⇒ 0.9x = 10000

⇒ x = 10000 ÷ 0.9

⇒ x = 11111.11  (2 d.p.)

M.P. =Rs 11111.1111

Answer:

Solution Given:

Selling price (S.P.) = Rs 10,000.

Discount =10%

Marked Price (M.P.)=?

we have

M.P. = S.P. + discount% of M.P.

keeping M.P. on same side

M.P. - discount% of M.P=S.P.

substituting value

M.P. - 10% of M.P.= Rs 10,000

taking common M.P.

M.P.(1-10%)=Rs. 10,000

we know that %=1/100

M.P.(1-10/100)=Rs 10,000

(9/10)M.P.= Rs 10,000

M.P.= Rs 10,000*10/9

M.P.=Rs11111.1111

The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website will be;

⇒ 0.9375

The term probability refers to the likelihood of an event occurring

Given that;

The probability that a visitor is offered a coupon (p) = 50%

Now,

Since, The probability that a visitor is offered a coupon (p) = 50%

Hence, The probability that he gets coupon all 4 days is,

⇒ p (4) = p⁴

⇒ p (4) = (50%)⁴

⇒ p (4) = 0.0625

Hence, By using the complement rule, the probability that he is not offered a coupon at least one day is,

⇒ p' = 1 - 0.0625

⇒ p' = 0.9375

Thus, The probability that Yasmin will not be offered a coupon on at least one of the days she visits the website = 0.9375

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

To find out how much of each metal the metallurgist should use to make the alloy, we can set up an equation based on the percentage of gold in each metal. Let's assume the metallurgist uses x pounds of the metal that is 60% gold, and y pounds of the metal that is 40% gold.

The metallurgist should use 6.2 pounds of the metal that is 60% gold and 6.2 pounds of the metal that is 40% gold to make 12.4 pounds of the alloy containing 50% gold.

The total weight of the alloy is 12.4 pounds, so we have the equation:
x + y = 12.4
Now, let's consider the percentage of gold in the alloy. The alloy needs to contain 50% gold.
The metal that is 60% gold will contribute 60% of x pounds of gold, which is 0.6x pounds of gold.
The metal that is 40% gold will contribute 40% of y pounds of gold, which is 0.4y pounds of gold.
Since the alloy needs to contain 50% gold, the total amount of gold in the alloy will be 50% of the total weight, which is 0.5 times 12.4 pounds:
0.5 * 12.4 = 6.2 pounds of gold
Now, we have another equation:
0.6x + 0.4y = 6.2
We have a system of two equations:
x + y = 12.4
0.6x + 0.4y = 6.2
To solve this system, we can use substitution or elimination. I will use the elimination method.
First, let's multiply the first equation by 0.4 to make the coefficients of y in both equations the same:
0.4(x + y) = 0.4 * 12.4
0.4x + 0.4y = 4.96
Now, we can subtract the second equation from this new equation to eliminate y:
(0.4x + 0.4y) - (0.6x + 0.4y) = 4.96 - 6.2
0.4x - 0.6x = -1.24
-0.2x = -1.24
x = -1.24 / -0.2
x = 6.2
Substituting this value of x back into the first equation:
6.2 + y = 12.4
y = 12.4 - 6.2
y = 6.2
So, the metallurgist should use 6.2 pounds of the metal that is 60% gold and 6.2 pounds of the metal that is 40% gold to make 12.4 pounds of the alloy containing 50% gold.

Learn more about solving equations here:

https://brainly.com/question/17145398

#SPJ11

Answer:

22/33and 14/21

1/3

mark as brainiest please

In the above case, the possible point system will be:

1st choice vote: 4 points

2nd choice vote: 2 points

In arranging for the turtle to win in this point framework, the point values relegated for 1st choice and 2nd choice votes have to be meet the taking after criteria:

Lets say:

1st choice vote: 4 points

2nd choice vote: 2 points

Thus by the use of these point values, the turtle would have the next chance of winning since 1st choice votes would be worth more point (4 point ) compared to 2nd choice votes (3 point ). This would push individuals to select the turtle as their 1st choice, because it would allow the turtle a better add up to point gains and increase its chances of winning.

Learn more about point system  from

https://brainly.com/question/26668636

#SPJ1