Divide. 3/5 divided by 4

The line represented by the table is:

y = 2x + 40

A general linear relationship is written as:

y = ax + b

Where a is the slope and b is the y-intercept.

If the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We can use the first two pairs:

(6, 52) and (9, 58)

Then we will get:

a = (58 - 52)/(9 - 6)

a = 6/3 = 2

y = 2x + b

To find the value of b, we replace the values of one of the points, if we use the first one (6, 52), then we will get:

52 = 2*6 + b

52 = 12 + b

52 - 12 = b

40 = b

The line is:

y = 2x + 40

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Answer:

John ate 20% of the cookies

Step-by-step explanation:

Well what I know is he ate 1/5 of them, So this means he ate 20% of them

Answer:

John ate 20% of the cookies. He also ate 1/5 of the cookies.

Step-by-step explanation:

It is really simple if you think about it.

use sin

sin(50) = x/6

sin(50) x 6 = x

x = ~4.5963

The probability of correctly choosing 4 numbers that match 4 randomly selected balls from a bucket of 35 balls is 1/52360.

To calculate the probability of correctly choosing 4 numbers that match 4 randomly selected balls from a bucket of 35 balls with different numbers from 1 to 35, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of possible outcomes:

Since there are 35 balls in the bucket, the total number of possible outcomes is given by the combination formula:

nCr = n! / [(n-r)! * r!]

In this case, we need to choose 4 balls out of 35, so the total number of possible outcomes is:

35C4 = 35! / [(35-4)! * 4!]

Number of favorable outcomes:

We want to choose 4 numbers that match the 4 randomly selected balls. Since there are 4 balls that need to match, we can consider this as choosing all 4 numbers correctly.

There is only 1 way to choose all 4 numbers correctly.

Therefore, the number of favorable outcomes is 1.

Probability:

The probability of an event is given by the formula:

Probability = Number of favorable outcomes / Total number of possible outcomes

In this case, the probability is:

Probability = 1 / 35C4

Now, let's calculate the probability:

35C4 = 35! / [(35-4)! * 4!]

= (35 * 34 * 33 * 32) / (4 * 3 * 2 * 1)

= 52360

Probability = 1 / 52360

Learn more about the probability here:

brainly.com/question/15124899

#SPJ11

The share of income spent on good xi can always be measured by ∂ ln[e(p, u*)]/∂ ln(p_i). This expression is often called the Hicksian demand function for good xi, which gives the optimal quantity of xi demanded as a function of prices and utility, holding income constant at its utility-maximizing level.

Let xi be a good and let p be a vector of prices for all goods, and let u∗ ≡ v(p, y) be the indirect utility function, where y is the consumer's income. We want to show that the share of income spent on good xi can be measured by the partial derivative of the logarithm of the expenditure function with respect to the logarithm of the price of good xi.

The expenditure function e(p, u) gives the minimum expenditure needed to achieve a given level of utility u, given prices p. It can be written as:

e(p, u) = min {px | v(p, x) = u}

where x is a bundle of goods that achieves the utility level u, and px is the expenditure on that bundle.

Now, consider the expenditure function at the utility level u*, which is e(p, u*) = min {px | v(p, x) = u*}. Taking the logarithm of both sides, we get:

ln(e(p, u*)) = ln(min {px | v(p, x) = u*})

Using the fact that the logarithm is a monotonic function, we can write:

ln(e(p, u*)) = ln(px*)

where x* is the bundle that minimizes expenditure at the utility level u*.

Taking the total differential of ln(e(p, u*)) with respect to p_i, we get:

d ln(e(p, u*))/d ln(p_i) = d ln(px*)/d ln(p_i)

By the chain rule of differentiation, we have:

d ln(px*)/d ln(p_i) = d ln(px*)/d p_i * p_i / px*

The first term on the right-hand side is the elasticity of expenditure on good i with respect to its own price, and the second term is the share of income spent on good i. Hence, we have:

d ln(e(p, u*))/d ln(p_i) = η_i * s_i

where η_i is the elasticity of expenditure on good i with respect to its own price, and s_i is the share of income spent on good i.

To learn more about function here:

https://brainly.com/question/12431044

#SPJ4

In similar triangles, corresponding angles are equal.

Similar triangles are triangles that have the same shape but may have different sizes. When two triangles are similar, their corresponding angles are equal. This means that if you have two triangles with the same angles, their corresponding sides will be proportional. Corresponding angles are the angles that occupy the same position in each triangle. For example, if two triangles have corresponding angles of 30° and 50°, then the corresponding angles in any other pair of similar triangles with the same shape will also be 30° and 50°. This property is useful in solving problems involving similar triangles, such as finding missing side lengths or angles.

Learn more about triangles  here

brainly.com/question/28911587

#SPJ11

Answer: TRUE

Step-by-step explanation:

Answer:

AX / AB = 6/18 = 1/3

AY / AC = 10/25 = 2/5

They are not similar because the two ratios is not the same.

Step-by-step explanation:

I'm not really sure okay!

Note that \(\frac{AX}{AB}=\frac{6}{24} =\frac{1}{4} ,and\frac{AY}{AC}=\frac{10}{35}=\frac{2}{7}.\)

Because the ratio of the lengths of corresponding sides of the triangles are not equal, the triangles are not similar.

-------------------------------------

Answer by: Medunno13

https://brainly.com/question/26646936

Answer:

y=4x-4

Step-by-step explanation:

Looking at the graph, the slope is 4 and the y-intercept is at (0, -4), so the equation is

\(\boxed{y=4x-4}\)

Answer:

y=4x-4

Step-by-step explanation:

Hope it helps

Answer:

y=2x-2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-6))/(4-(-2))

m=(6+6)/(4+2)

m=12/6

m=2

y-y1=m(x-x1)

y-(-6)=2(x-(-2))

y+6=2(x+2)

y=2x+4-6

y=2x-2

Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Equivalent expressions are expressions of equal values

The simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)

The expression is given as:

\((3 - 4i) + (7 - 6i)\)

Remove brackets in the above expression

\(3 - 4i + 7 - 6i\)

Rewrite the expression by collecting the like terms

\(3 + 7- 4i - 6i\)

Next, evaluate the like terms

\(10- 10i\)

Hence, the simplified expression of (3 - 4i) + (7 - 6i) is \(10- 10i\)

Read more about equivalent expressions at:

https://brainly.com/question/2972832

The statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

To determine which statements are true, find the rate of change of each segment in the graph.

Rate of change for Segment R:

Segment R is horizontal, therefore the rate of change = 0.

Rate of change for Segment S:

Rate of change = rise/run = 7/2 = 3½.

Rate of change for Segment T:

Rate of change = rise/run = 8/-8 = -1.

Rate of change for Segment U:

Rate of change = rise/run = 5/3 = 2⅔.

The rate of change of segment T is negative, therefore, it is decreasing. (Option 1 is true).

Difference between Rate of change of segment S and R = 3½ - 0 = 3½. (Option 2 is also true).

Rate of change for segment T, -1, is less than rate of change for segment S, 3½. (Option 3 is not true).

Option 4 is false. Rate of change for segment U is rather 2⅔.

Option 5 is also not true. Segment R has a rate of change of 0.

Therefore, the statements that are true are:

a. The rate of change of segment T is decreasing

b. Difference between the rate of change of segments S and R is 3½

Learn more about rate of change on:

https://brainly.com/question/8728504

If the quadratic has x-intercepts of -3 and 5 the equation would be:

y=c(x+3)(x-5)

The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, by creating one part as the mirror image of the other part.

First, we have to define the axis of symmetry.

The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.

We have x-intercepts of -3 and 5

In ordered to find the axis of symmetry we have to find their middle intercept

To find the axis of symmetry:

-3+5/2=2/2=1

So the axis of symmetry is x = 1

To know more about the axis of symmetry:

https://brainly.com/question/16654836

#SPJ4

Answer: .

Step-by-step explanation:

No image is provided, add image in order to receive help

Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

Answer:

our fraction is 33.333333333333/100, which means that 20/60 as a percentage is 33.3333%.

Answer: k = 24, y = 24x

Step-by-step explanation:

y = kx (the variables x and y varies directly)
when x = 3, y = 72
k = y/x = 72/3 = 24
y = 24x

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

To learn more about the Physical topology click here:

https://brainly.com/question/24209299

#SPJ12

she can send up to 500 snaps OR 166 videos

she can send up to 500 snaps 150 videos

Answer:

10:15:6

Step-by-step explanation:

let 3A=2B=5C

then,A=1/3,B=1/2,=1/5

therefore:A:B:C=1/3,1/2,1/5

10:15:6/30=10:15:6

Answer:

\(x=-20\)

Step-by-step explanation:

\(\frac{x}{5}+7=3\\ \\\frac{x}{5}+7-7=3-7\\ \\\frac{x}{5}=-4\\ \\\frac{x}{5}*5=-4*5\\ \\x=-20\)

Answer:

-20

Step-by-step explanation:

Answer:

1256 meters

Step-by-step explanation:

The distance around the circle (circumference) can be found using the formula \(2\pi r\). r is the radius, which you're given. So 2 * pi * 10 is 62.8 if you use 3.14 as pi. Since the horse went around 20 times, we multiply the circumference by 20. 62.83 * 20 = 1256

The velocity v as a function of t is  4t³ - 4

Now, we are asked to find the velocity v as a function of t. Velocity is the rate of change of position with respect to time. Mathematically, we can express velocity as the derivative of position with respect to time, or v = ds/dt, where s is the position function and t is the time variable.

To find the velocity v as a function of t, we need to take the derivative of the position function s with respect to time. In this case, s = t⁴ - 4t, so we can use the power rule of differentiation to find ds/dt:

ds/dt = 4t³ - 4

Therefore, the velocity v as a function of time t is:

v(t) = ds/dt = 4t³ - 4

To know more about function here

https://brainly.com/question/28193995

#SPJ4

Answer:

0.1

Step-by-step explanation:

100 x 10 = 1000. Essentially, you just add a zero to 100. so you take a zero out of .01. SO your answer is 0.1.

Answer: 0.1 fluid ounce

explanation:

since 100 drops of a liquid have 0.01 fluid ounces

1 drop of a liquid has (0.01/100)× 1 fluid ounces = 0.0001 ounces

so 1000 drops of a liquid have (1000×0.0001)= 0.1 fluid ounce

Answer:

-7

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = 16² + 8²

                      = 256 + 64

                     = 320

hypotenuse = √320 = √2*2*2*2*2*2*5 = 2*2*2√5 = 8√5

Csc Ф = Hypotenuse/opposite side

         \(= \frac{8\sqrt{5}}{8}\\\\=\sqrt{5}\)

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

To know more about annual annuity payment,

https://brainly.com/question/31981614

#SPJ11

Answer:

I hope this helps

Step-by-step explanation:

give me braineast

The correct number of different ways 10 identical balloons can be given to four children if each child receives at least two balloons is 11. This can be answered by the concept of Combination.

To solve this problem, we can use generating functions, which are a powerful tool in combinatorics for counting the number of ways to distribute objects. Let's define a generating function for each child, representing the number of balloons they receive.

Let the generating function for the first child be represented as x², as each child must receive at least two balloons. Similarly, the generating functions for the other three children would also be x² each.

Now, we can multiply these generating functions together to represent the combined number of balloons given to all four children. Multiplying x² four times gives us (x²)⁴, which simplifies to x⁸.

Finally, we need to find the coefficient of x¹⁰ in the expansion of x⁸. This represents the number of ways to distribute 10 identical balloons among the four children, with each child receiving at least two balloons.

Using the binomial theorem or simply by expanding (x²)⁴, we get the coefficient of x¹⁰ to be 11.

Therefore, The correct number of different ways 10 identical balloons can be given to four children if each child receives at least two balloons is 11

To learn more about Combination here:

brainly.com/question/14685054#

#SPJ11