which of the equations below would have a line that passes through both (1,7) and (0,-9)

The price of a t-shirt is $20 and the price of a sweatshirt is $35

To arrive at this answer, we must use the equation: (Price of Item) x (Number Sold) = Total Money Raised. On the first day, 3 t-shirts and 5 sweatshirts were sold for a total of $170. Thus, (Price of T-Shirt) x (3) + (Price of Sweatshirt) x (5) = $170. We can solve this equation to find that (Price of T-Shirt) = $20 and (Price of Sweatshirt) = $35. On the second day, 7 t-shirts and 3 sweatshirts were sold for a total of $180. We can solve the equation (Price of T-Shirt) x (7) + (Price of Sweatshirt) x (3) = $180 to find that (Price of T-Shirt) = $20 and (Price of Sweatshirt) = $35. This confirms that the price of a t-shirt is $20 and the price of a sweatshirt is $35.

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The ratio of the capacities of the two similar cups found using the Volume of cylinder is: 2/3.

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material. In simplest language, the capacity of such a cylinder to hold an object is its volume. You can store any one of the three forms of matter—solid, liquid, or gas—within the confines of a cylinder.

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material. To put it another way, a cylinder's volume is how much it can hold.

As the two cups are similar, their radii will be same say 'r'.

Let the height of cup1 be h1 and cup 2 be h2.

Then,

h₁/h₂ = 2/3

h₂  = 1.5 h₁

ratio of their capacities:

Volume of cup1 / volume of cup 2

V1 / V2 = πr²h₁ / πr²h₂

Cancelling the same values:

V1 / V2 = h₁ / h₂

V1 / V2 = h₁ / 1.5 h₁

h₁ will get cancelled.

V1 /V2 = 2/3

Thus, the ratio of capacities of the two similar cups found using the Volume of cylinder is: 2/3.

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Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.

To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.

The given recurrence relation is: an = an-1 + 6an-2

We are also given the initial conditions: a0 = 1 and a1 = 3.

To find the generating function, we define the generating function A(x) as:

a(x) = a0 + a1x + a2x² + a3x³ + ...

Multiplying the recurrence relation by x^n and summing over all values of n, we get:

∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)

Now, let's express each summation in terms of the generating function a(x):

a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾

Simplifying and rearranging the terms, we have:

a(x)(1 - x - 6x²) = a0 + (a1 - a0)x

Using the given initial conditions, we have:

a(x)(1 - x - 6x²) = 1 + 2x

Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):

a(x) = (1 + 2x) / (1 - x - 6x²)

Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).

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We would expect smaller standard errors for beta parameters as the sample size increases because we have more information to work with. This would result in more accurate estimates for the beta parameters.

Increasing the sample size when estimating a simple linear regression model will not have any effect on the beta parameter estimates. However, it will have an effect on the standard errors of the beta parameters. With a larger sample size, we have more information to work with, and therefore can more accurately estimate the beta parameters. As a result, the standard errors for the beta parameters will decrease as the sample size increases. This means that we can be more confident in our estimates of the beta parameters as the sample size increases.

The complete question: Intuitively, what do we expect to have when the sample size increases when we estimate a simple linear regression model?

a. Increase in sample size does not have any effect on beta parameter estimates or standard errors

b. We would expect larger standard errors for beta parameters because we have more information.

c. Beta parameter estimates get smaller

d. We would expect smaller standard errors for beta parameters because we have more information .

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Answer:

ty

Step-by-step explanation:

The probability of number of different ways to deal four face cards (king, queen, or jack) and one non-face card from a standard deck of cards is 48.

To determine the number of ways to deal the cards, we need to consider the following:

1. Selecting four face cards:

There are 12 face cards in a standard deck (4 kings, 4 queens, and 4 jacks). We need to choose 4 of these face cards, which can be done in (12 choose 4) ways:

(12 choose 4) = 12! / (4! * (12 - 4)!) = 12! / (4! * 8!) = (12 * 11 * 10 * 9) / (4 * 3 * 2 * 1) = 495.

2. Selecting one non-face card:

After selecting the four face cards, there are 40 remaining cards in the deck that are not face cards. We need to choose 1 of these cards, which can be done in 40 ways.

Multiplying the two choices together, we get:

Number of ways = (12 choose 4) * 40

= 495 * 40

= 19,800.

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The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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We have proven that if a>b and c < 0, then a/c < b/c as shown below

From the question, we are to prove the given expression.

We are to prove that

If a>b and c<0, then a/c < b/c is true

Choose some numbers to satisfy the conditions

Since we have that

a > b

Let a = 8

and b = 4

Also,

We have that c < 0

Let c = -2

Now,

Evaluate a/c

a/c = 8/-2 = -4

Also, evaluate b/c

b/c = 4/-2 = -2

-4 < -2

Thus,

a/c < b/c

Hence, we have proven that if a>b and c < 0, then a/c < b/c

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Answer: SHE GOT 13 MONTHS YES SHE DO, 13 MONTHS LEFT IS ANSWER

Step-by-step explanation:

Answer:

mark brainliest plz mark brainliest plz

Answer:

Multiply ; (5 ×2)

Step-by-step explanation:

Further explanation

\(6-3+5\cdot \:2\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:5\cdot \:2\::\quad 10\\=6-3+10\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:6-3+10\:\\:\quad 13\)

We can writey + dy = 2x1x2 / (x1+x2) + 2x1Δx2/ (x1+x2) + 2x2Δx1/(x1+x2)+ 2Δx1Δx2/ (x1+x2)On subtracting y from both sides, we getdy = 2x1Δx2/ (x1+x2) + 2x2Δx1/ (x1+x2) + 2Δx1Δx2/ (x1+x2)

Given y= x1/(x1+x2)  we need to find the total differential of y.It is given that, y= x1/(x1+x2)Let us assume, x1 = x1+Δx1, x2 = x2+Δx2. On substituting these values, we get + dy = (x1 + Δx1)/ (x1 + Δx1 + x2 + Δx2)We know that dy = y - (x1 + Δx1)/ (x1 + Δx1 + x2 + Δx2)

On further simplification, we get,dy = (Δx1(x2+Δx2))/(x1+Δx1+x2+Δx2)²-(Δx1x2)/((x1+Δx1+x2+Δx2)²)Since Δx1 and Δx2 are very small, we can neglect their squares and products, i.e., Δx1², Δx2², and Δx1.Δx2

Hence the total differential of y= x1/(x1+x2) is given by dy = (-x1x2/(x1+x2)²) dx1 + (x1²/(x1+x2)²) dx2. Note: x1 and x2 are independent variables.

Therefore, dx1 and dx2 are their differentials.Given y=2x1x2 /(x1+x2) Let us assume, x1 = x1+Δx1, x2 = x2+Δx2. On substituting these values, we gety + dy = 2(x1 + Δx1)(x2 + Δx2)/ (x1 + Δx1 + x2 + Δx2)On simplifying, we gety + dy = (2x1x2+2x1Δx2+2x2Δx1+2Δx1Δx2)/(x1+Δx1+x2+Δx2)

Since Δx1 and Δx2 are very small, we can neglect their squares and products, i.e., Δx1², Δx2², and Δx1.Δx2

Hence the total differential of y=2x1x2 /(x1+x2) is given by dy = (2x2/(x1+x2)²) dx1 + (2x1/(x1+x2)²) dx2.

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Answer:

Step-by-step explanation:

∠AOB  + ∠BOC = ∠AOC

9x +20 + 7x - 6 = 142

9x + 7x + 20 - 6 = 142

Combine like terms,

16x  + 14 = 142

Subtract 14 from both sides

16x = 142 - 14

16x = 128

Divide both sides by 16

x = 128/16

x = 8

∠BOc = 7x -  6

          = 7*8 -  6

           = 56 - 6

            = 50

Given:

Angle = -770°

Let's find angle A which is coterminal with the given angle.

Where:

0°

Coterminal angles can be said to be angles that sum up to a multiple of 360 degrees.

The angle which measures -770 is 2 revelotions and 50 degrees:

-360 - 360 - 50 = -770

Tus, to find the coterminal angle, we have:

360 - 50 = 310°

Therefore, the coterminal angle with an angle measuring -770° is 310°.

ANSWER:

310°

To find the maximum height that the pumpkin reaches, we can set the derivative of the equation equal to 0 and solve for x. The derivative of y = 12 + 105x - 16x^2 is y' = 105 - 32x. Setting y' = 0, we get:

0 = 105 - 32x

32x = 105

x = 105/32

The maximum height is reached when x = 105/32 seconds. To find the maximum height, we can plug this value of x into the original equation:

y = 12 + 105(105/32) - 16(105/32)^2

= 12 + 1053.28125 - 163.28125^2

= 12 + 342.8125 - 106.25

= 248.5625

The maximum height that the pumpkin reaches is 248.5625 feet.

To find the number of seconds it takes for the pumpkin to hit the ground (when its height is 0), we can set y = 0 in the original equation and solve for x:

0 = 12 + 105x - 16x^2

16x^2 - 105x + 12 = 0

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

The solutions to this equation are x = 3/4 and x = 4/4. The second solution is extraneous, since it represents the time at which the pumpkin was launched (when x=0, y would be 12 feet, not 0 feet). Therefore, the number of seconds it takes for the pumpkin to hit the ground is x = 3/4 seconds.

The given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

Based on the information provided, it appears that the given scenario relates to a production or manufacturing problem. The problem involves the production of two different products, Product 1 and Product 2, and requires specific quantities of different resources or components.

Decision Variables:

The decision variables in this operational problem could include the quantities or amounts of each product to be produced. For example, let's denote the quantity of Product 1 as x and the quantity of Product 2 as y.

Objective Function:

The objective function represents the goal or objective of the problem. In this case, the objective could be to maximize or minimize a certain aspect, such as profit, production efficiency, or resource utilization. The specific objective function would depend on the specific goal of the problem. For example, if the objective is to maximize profit, the objective function could be expressed as a linear combination of the quantities produced and the associated costs and revenues.

Since the specific objective function is not provided in the question, it is not possible to determine it accurately. However, it could involve maximizing profit, minimizing production costs, or maximizing resource utilization efficiency, among other possibilities.

In summary, the given operational problem relates to production or manufacturing, with decision variables representing the quantities of the two products to be produced and an objective function representing the specific goal to be achieved (such as maximizing profit or minimizing costs).

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Jerry worked for 4.3 hours to install the equipment based on a rate of $20 per hour.

This problem can be solved using a linear equation.

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the power of 1.

Let's say the number of hours Jerry worked to install the equipment is "h".

According to the problem, Jerry charges $50 to schedule a repair visit, which means that the remaining amount after deducting the scheduling fee from the total bill ($136) is used to pay for the equipment installation.

So, the amount Jerry earned from the equipment installation is:

$136 - $50 (scheduling fee) = $86

We know that Jerry charges $20 per hour to install equipment. Therefore, the equation we can set up is:

$86 = $20 × h

Solving for "h", we get:

h = $86 / $20 = 4.3 hours (rounded to one decimal place)

Therefore, Jerry worked for 4.3 hours to install the equipment.

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Answer: y= -1x + 2

Step-by-step explanation:

The linear equation is y= mx + b

Y-intercept here is at (0,2), so b is 2

Let pick point (0,2) (2,0)

The slope is rise/run, and we see that the graph is going down by 2 and goes over by 2, so it is -2/2 = -1

So the equation is y=1x +2

If you can, please give me a Brainliest, I only need 1 more to become an Ace, thank you!

Answer:

Step-by-step explanation:

x does equal 7 so you know your vertical angle rule. 9x + 42 is same side exterior with 4y - 13, so the sum of them is 180.

9(7) + 42 + 4y - 13 = 180 and

63 + 42 + 4y - 13 = 180 and

92 + 4y = 180 and

4y = 88 so

y = 22

Answer:

A) 21.9 and D) 22.07

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

22.075

A=0.175 less

B=0.005 more

C=0.985 more

D=0.005 less

E=0.004 more

go to math away website and type in your question, choose how you want it to be solved and you're done,

He missed 2.

90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.

So just double that number (1 shot missed) and so you get 2 missed shots

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The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

I’m going to assume that your values are in the form of:

(r,θ,z)=(4,6π,2π/3)

where

(r,θ)are the polar coordinates of the point’s projection in the xy-plane

z is the usual z-coordinate in the Cartesian coordinate system

Now solving for Cartesian coordinates:

x=rcosθ=4cos(6π)=4(0.86)=3.44

y=rsinθ=4sin(6π)=2

Now for spherical transformation, note that:

(ρ,θ,ϕ)

ρ is the distance between P and the origin

θ is the same angle used to describe the location in cylindrical coordinates

ϕ is the angle formed by the positive z-axis and line segment from the origin and point in space, note that0≤ϕ≤π

OK, now that we have that out of the way, let’s compute:

ρ=r2+z2 = 5

θ=θ=6π

ϕ=arccos(zr2+z2−−−−−−√)=arccos(35)≈0.927rad

The spherical coordinate (4,6π,2π/3) is (5,2π3,0.927) in spherical coordinates.

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1)The pdf of U is f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

2)U follows a gamma-distribution with parameter a = 3/2 or a = 1/2.

3)x = (y²/2) and dx = y dy using exponential distribution

We can rewrite the integral as:

I(1/2) = ∫₀^∞ y exp(-y²) dy

       = 1/2 ∫₀^∞ exp(-u/2) du

This is the same as the integral for f(u) when u = 1/2.

Therefore, we have:

I(1/2) = V1

(1) For U = Z², we can use the method of transformations.

Let g(z) be the transformation function such that

U = g(Z)

   = Z².

Then, the inverse function of g is given by h(u) = ±√u.

Thus, we can apply the transformation theorem as follows:

f(u) = |h'(u)| g(h(u)) f(u)

     = |1/(2√u)| exp(-u/2) for u > 0 f(u) = 0 otherwise

Therefore, the pdf of U is given by:

f(u) = (1/(2√u)) exp(-u/2) for u > 0 and f(u) = 0 otherwise.

(2) We are given that f(1/2) = VT, where V is a constant.

We can substitute u = 1/2 in the pdf of U and equate it to VT.

Then, we get:VT = (1/(2√(1/2))) exp(-1/4)VT

                            = √2 exp(-1/4)

This gives us the value of V.

Now, we can use the pdf of the gamma distribution to find the parameter a such that the gamma distribution matches the pdf of U.

The pdf of the gamma distribution is given by:

f(u) = (u^(a-1) exp(-u)/Γ(a)) for u > 0 where Γ(a) is the gamma function.

We can use the following relation between the gamma and the factorial function to simplify the expression for the gamma function:

Γ(a) = (a-1)!

Thus, we can rewrite the pdf of the gamma distribution as:

f(u) = (u^(a-1) exp(-u)/(a-1)!) for u > 0

We can now equate the pdf of U to the pdf of the gamma distribution and solve for a.

Then, we get:

(1/(2√u)) exp(-u/2) = (u^(a-1) exp(-u)/(a-1)!) for u > 0 a = 3/2

Therefore, U follows a gamma distribution with parameter

a = 3/2 or equivalently,

a = 1/2.

(3) We need to show that I(1/2) = V1.

Here, I(1) = ∫₀^∞ exp(-x) dx is the integral of the exponential distribution with rate parameter 1 and V is a constant.

We can use the change of variables y = √(2x) to simplify the expression for I(1/2) as follows:

I(1/2) = ∫₀^∞ exp(-√(2x)) dx

Now, we can substitute y²/2 = x to obtain:

x = (y²/2) and

dx = y dy

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Answer:

w = 4

Step-by-step explanation:

10(2)-4(-w)=36

20+4w=36

4w=36-20

4w=16

w=16/4

w=4

Answer:

Below

Step-by-step explanation:

You can use this formula to find the sum of an arithmetic series

     Sn = n / 2 (a1 + an)

You need to find the number of terms in each series before using the formula

     Tn = a + (n - 1) d

a) 53 = 5 + (n - 1) 3

      n = 17

Sn = 17 / 2 (5 + 53)

    = 493

b) 98 = 7 + (n - 1) 7

      n = 14

Sn = 14 / 2 (7 + 98)

   = 735

c) -102 = 8 + (n - 1) -5

        n = 23

Sn = 23 / 2 (8 + (-102))

   = - 1081

d) 41/3 = 2/3 + (n - 1) 1

        n = 14

Sn = 14 / 2 (2/3 + 41/3)

    = 301 / 3 or 100 1/3  

Hope this helped! Best of luck <3

Answer:

2:5

Step-by-step explanation:

We know there are 2 girls so thats the first number now we have to find the total number of students which is boys + girls so 3 + 2 = 5 so it's 2:5 hope I could help :3

Answer:

2:5

Step-by-step explanation:

Because we are doing ratios of all the boys to girls at King Middle school this means there are three boys and two girls seeing that the boys to girls ratio would be 3:2 meaning that the total of all the students would be made by adding all the boys and girls making 5. we then remember there we only 2 girls meaning that there are two girls out of a total of five students at King Middle School.

Answer:

hope this helps :>

Step 1: Calculate the volume of the water in the first container.

The volume of a cylinder is V = πr^2h, where r is the radius of the cylinder and h is the height of the cylinder.

Therefore, the volume of the water in the first container is V = πr^2 x 15 cm, where r is the given radius of the container.

Step 2: Calculate the height of the water in the second container.

The volume of the water in the second container is the same as the volume of the water in the first container, since the same quantity of water is being poured from one container to the other.

Therefore, the volume of the water in the second container is also V = πr^2 x 15 cm, where r is now 2r, the radius of the second container.

To find the height of the water in the second container, we can substitute the value of the radius into the equation for the volume and solve for h. This gives us h = (15 cm) / (π(2r)^2), which simplifies to h = 15 cm / 4πr^2.

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Answer:

m=3/5

step by step example:

 1.from both sides of the equation

10+6=12

10m+6=1210m+6=12

10+6−6=12−6

2

Simplify

Subtract the numbers

Subtract the numbers

10=6

3

Divide both sides of the equation by the same term

10=6

10m=610m=6

1010=610

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=35