What is the equation of the following direct variation?



y = -2x
y = -x
y = 2x
y = x

Answer:

4/52 = 1/13

Step-by-step explanation:

There are 4 jacks in a standard deck of cards.

Each suit (diamonds hearts spades and clubs) has the following cards:

2

3

4

5

6

7

8

9

10

Jack

Queen

King

Ace

So there are 4 Jacks: 1 diamond, 1 heart, 1 spade, 1 club.

4 out of 52 cards are jacks.

4/52 = 1/13

I don't see a list of multiple choice responses in your question.

So pick whichever one says something like:

Hannah has a 4/52 or 1/13 probability of selecting a jack.

Answer:

compound interest

Step-by-step explanation:

compound interest yields higher profit than simple interest

Answer:

the simple interest function will be greater in the beginning, but the

compound interest equation will overtake the simple after a while.

it appears that the 4% compound equation will overtake the simple at about 10 years

Step-by-step explanation:

\(1 + .05t = 1(1.04)^t\)

maybe quadrant || is the right, I Don't know if this right or wrong

Answer:

108

Step-by-step explanation:

Because the area formula is a*b and 12*9 is 180

So the answer is 180 which is A

I hope this helps :)

The area of kite is 54 units square.

The  correct option is (C)

The area of a kite is half the product of the lengths of its diagonals.

The formula to determine the area of a kite is: Area = ½ × (d)1 × (d)2.

Diagonals of a kite intersect each other at right angles. The longer diagonal is the perpendicular bisector of the shorter diagonal. A kite is symmetrical about its main diagonal. The shorter diagonal divides the kite into two isosceles triangles.

Here d1 and d2 are diagonals.

Given:

d =12

d2= 9

Now, area of kite is

= ½ × (d)1 × (d)2.

=1/2*12*9

=1*2*108

=108/2

=54

Hence, the area of kite is 54 units square.

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The value of side TS is,

⇒ TS = 28

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Additionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK

LY = HJ,

so, LY = 14

And, 42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

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Answer:

Step-by-step explanation:

Answer is - 8/12
Because-
Andre took 6 kicks - Given.

He made 4 goal - also given

the fraction now will be = 4/6

Now he made 12 kicks.

So,

4/6 X 2/2 = 8/12

Hope it helped

The probability that Julie will be a captain, given that she makes the team is 1/3.

Given,

Number of students trying out for a soccer team = 40

Case of probability,

P(A) = n(A)/n(S)

n(A) = number of favourable outcomes, n(S) is the total number of events in the sample space.

Given ,

18 of 40 students will make the soccer team.

⇒ n(S) = 18

Let event A: Julie will be a captain, given that she makes the team

⇒ n(A) = 3

So, the probability that Julie will be a captain, given that she makes the team,

= P(A) = n(A)/n(S)

= P(A) = 3/18

= P(A) = 1/6

Therefore, the probability that Julie will be a captain, given that she makes the team is 1/3.

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The sum of six and a number divided by two is zero is translating into an equation is y/2+6 = 0, and the number is y = -12

The given sentence is "The sum of six and a number is divided by two is 0"

Consider the number as y

A number is divided by two = y/2

The sum of 6 and a number divided by two = y/2 + 6

The sum of six and a number is divided by two is 0

y/2 + 6 = 0

We have to solve the equation

Move the 6 to the right hand side of the equation

y/2 = -6

Move the 2 to the right hand side of the equation

y = -6×2

Multiply the numbers

y = -12

Hence, the sum of six and a number divided by two is zero is translating into an equation is y/2+6 = 0, and the number is y = -12

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A ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

The steps for constructing a copy of an angle:

Step 1: Draw the angle.

Step 2: Place the center of the protractor on the vertex of the angle.

Step 3: Line up the baseline of the protractor with one of the angle's rays.

Step 4: Read the degree measure where the other ray crosses the protractor.

Step 5: Draw a ray from the vertex of the angle to the right.

Step 6: Use a ruler to mark the same distance on the ray that was just drawn.

Step 7: Draw a ray from the vertex through the point just marked on the ray.

This is the copy of the angle's second ray.

Step 8: Use a compass to draw an arc centered at the vertex of the original angle that passes through one of the angle's rays.

Step 9: Without adjusting the compass, draw another arc that intersects the previous arc at a point.

Step 10: Draw a ray from the vertex through the point where the two arcs intersect.

This is the copy of the original angle.

Using a compass, draw an arc centered on the vertex of the original angle passing through one of the angle rays. Place the tip of the

compass on the vertex of the original angle and draw an arc that intersects one of the angle rays.

Draws another arc that intersects the previous arc at a point without adjusting the compass.

Draw a second arc that intersects the first arc at another point, keeping the compass latitude.

Using a ruler or ruler, draw a ray from the vertex of the angle through the point where the two arcs intersect. This ray is a copy of the original angle.

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Answer:

-2≤x<8

Step-by-step explanation:

We see that because of the closed dot, -2 is included, and because of the open dot, 8 isn't included. Since all possible values of x have to be in between -2 and 8, then the inequality that represents this is -2≤x<8.

The actual distance between the cities is 200 km using multiplication.

The scale of the map is 3 cm : 20 km. This means that for every 3 cm on the map, the actual distance in real life is 20 km.

If two cities are 30 cm apart on the map, we can use the scale to find the actual distance between them. First, we need to determine how many times the scale goes into the distance on the map. To do this, we divide the distance on the map by the length of the scale:

30 cm ÷ 3 cm/20 km = 30 ÷ 3 × 20 = 200 km

Therefore, the actual distance between the two cities is 200 km.

Alternatively, we can use the proportionality between the scale and the actual distance to set up a proportion and solve for the actual distance. Let x be the actual distance between the cities in kilometers:

3 cm / 20 km = 30 cm / x

Cross-multiplying and solving for x, we get:

x = (20 km / 3 cm) × 30 cm = 200 km

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Option B, \(\rm y=4^{x-1}\) is the equation the represents this graph.

An equatiοn is a statement in mathematics that states the equality οf twο expressiοns. An equatiοn has twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine which variable(s) must be changed in οrder fοr the equatiοn tο be true.

Simple οr cοmplicated equatiοns, regular οr nοnlinear equatiοns, and equatiοns with οne οr mοre factοrs are all feasible. In the equatiοn "x² + 2x - 3 = 0," fοr example, the variable x is raised tο the secοnd pοwer. Lines are used in a variety οf mathematical disciplines, including algebra, calculus, and geοmetry.

Alsο, the y-intercept is 0 < y < 1.

Eliminate option a and d.

The graph is extended towards -x

so, eliminate option c

Now we are left option e and b

But as the origin is (1, 1), The value of x is 1

x = 1

x - 1 = 0

Thus, the correct option is b. \(\rm y=4^{x-1}\).

Lets graph  \(\rm y=4^{x-1}\) to check, see attachment.

Thus,  \(\rm y=4^{x-1}\) is the equation the represents this graph.

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Solution

- Let the amount invested in stocks, bonds, and CDs be s, b, and c.

- The total fund is 195000. This means:

- We are also told that the interests from the investments are

- We are told that the income from the investments is $10972.50. This implies that:

- Lastly, we are also told that $65000 was invested more in bonds than CDs. This implies that:

- Thus, we have 3 simultaneous equations that we can solve.

- The solution steps for solving the equations are given below:

Final Answer

The amounts invested are:

Bonds: $90,822.37

Stocks: $78,355.26

CDs: $25,822.37

Answer:

x = -7/11

Step-by-step explanation:

3x - 4(2x + 1) = 5 + 2(3x - 1)

3x - 8x - 4 = 5 + 6x - 2

-5x - 4 = 3 + 6x

-5x - 4 + 5x = 3 + 6x + 5x

-4 = 3 + 11x

-4 - 3 = 3 + 11x - 3

-7 = 11x

-7/11 = 11x/11

-7/11 = x

Answer:

\(y1 = 4 \\ x1 = 3\)

\(y - y1 = m(x - x1)\)

\(y - 4 = 0(x - 3)\)

\(y - 4 = 0\)

\(y = 4\)

Answer:

65/100 that is the answer to this question

Answer:

30 marbles

Step-by-step explanation:

x = total # marbles

5/2 = x/12

2x = 60

x = 30

Answer:

21

Step-by-step explanation:

so this is the way i learned it

compare side to side so CA is 12 and LM is 9 so its 4/3

CB is 8 LN is 6 so its 4/3

so AB is 8 so MN would have to be 4/3 which would made MN 6 so MNL would be 21

Answer:

21

Step-by-step explanation:

ΔLMN ≅ ΔABC with a scale factor of 0.75

If Line AB is similar to Line MN, then Line MN is 6.

Perimeter of ΔLMN

9+6+6=

15+6=

21

Answer:

B

Step-by-step explanation:

union means everything in both sets

Using linear function concepts, it is found that:

a) The amount of lattes sold function is: N(p) = -240p + 1040.

b) The revenue function is: R(p) = -240p² + 1040p.

c) The revenue is maximized when p = $2.17.

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

For this problem, we have a linear function with the points having the following format:

(price, lattes sold).

Hence two points are given as follows:

(2.50, 440), (2.75, 380).

The slope is given by change in y divided by change in x, hence:

m = -60/0.25 = -240.

Then:

N(p) = -240p + b.

When p = 2.50, N(p) = 440, hence we solve for b as follows:

440 = -240(2.5) + b

b = 1040.

Thus the function is:

N(p) = -240p + 1040.

The revenue function is:

R(p) = pN(p)

Hence:

R(p) = p(-240p + 1040)

R(p) = -240p² + 1040p.

Which is a concave down quadratic function, with a = -240 and b = 1040. A concave down quadratic function is maximized when:

p = -b/2a

Hence:

p = -1040/2(-240) = $2.17.

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The correct option regarding the given sets is option(b)  which shows that A ∩ B' = {3}.

What is set theory?

The area of mathematical logic known as set theory examines sets, which are essentially collections of objects. Set theory is an area of mathematics that primarily focuses on items that are pertinent to mathematics as a whole, despite the fact that any form of an object can be grouped into a set.

Given,

      U = {a,b,c,1,2,3,4}

      A = {b,2,3}

      B = {a,b,2,4}

      C = {4}

      D = {c,3}

      E = {a,b,1,2,3}

      B' = U - B =  {a,b,c,1,2,3,4} -  {a, b,2,4} = {c,1,3}

     A ∩ B' = {b,2,3} ∩ {c,1,3} = {3}

Therefore the correct option regarding the given sets is option(b).

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Answer:

1175 gallons (rounded)

Step-by-step explanation:

The volume of a cylinder is given by the formula \(V=\pi r^2h\) .

r is the radius, h is the height.

\(V=\pi (5)^2 (2)=\pi(25)(2)=50\pi\approx 157.08\) cubic feet

Each cubic foot contains 7.48 gallons, so \(V=157.08\times 7.48=1175\) gallons (rounded).

Just for fun, each cubic foot weighs 62.4 pounds, so the water in the pool weighs about 9801 pounds -- more than 4 tons!

Answer:

1,175,108gallons of water

Step-by-step explanation:

do the volume of the cylindrical pool that is base area multiply by height to get 157.1 feet then you do 1cubic feet is 7.48 gallons what about 157.1 feet cubic

Answer:

1. x>20   2. x≤1     3.x<4     4.x>9      5.x≥-13

I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.

For this problem, simply find the inverse of f(x).

If you are stuck, I could provide you with a solution below...

f(x) = 8x³ - 2

y = 8x³ - 2

y + 2 = 8x³

(y + 2)/8 = x³

cube root((y + 2)/8) = x

g(x) = cube root((x + 2)/8)

The value of function g(x) after solving will be ∛(x + 2) / 2.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of function,

f(x) = 8x³ − 2

And, f(g(x)) = x and g(f(x)) = x

Now,

Since, f(g(x)) = x

And, f(x) = 8x³ − 2

The substitute x = g (x) in above equation we get;

f (g(x)) = 8 (g(x))³ - 2

x = 8 (g(x))³ - 2

Add 2 both side;

x + 2 = 8 (g(x))³  

Divide by 8;

(x + 2)/8 = (g(x))³

Take cube root both side;

∛(x + 2)/8 = g(x)

g(x) = ∛(x + 2) / 2

So, The value of function g(x) after solving will be ∛(x + 2) / 2.

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Answer:

mayne because of grasses and animals

Answer:

D

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Should be 3 x 10 = 6 x 5

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction

Step-by-step explanation:

the answer I got right on edge 2021

Answer:

StartFraction part Over whole EndFraction = StartFraction 350 divided by 5 Over 100 divided by 5 EndFraction = StartFraction 70 Over 20 EndFraction

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3/4= 6/8 if you need 3/8 for one batch you made two batches. found it on brainly

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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