Which equation could have been used to create this graph?


y = x + 5

y = x + 2

y = 10x

y = 5x

no links pls-

Answer:

Explanation:

2(6 - x) = 3

2(6 - x) = 3

12 - 2x = 3

12 - 2x - 12 = 3 - 12

-2x = -9

-2x / -2 = -9 / -2

Answer:

Step-by-step explanation:

C

Answer:

The length of the side of the base of the pyramid with a height of 3.2 cm is 5 cm.

Step-by-step explanation:

Let V be the fixed volume of the pyramid, and let h and s be the height and length of a side of its base, respectively. Then we have:

V = (1/3) * s^2 * h ... (1)

Also, we have:

h ∝ 1/s^2 ... (2)

We are given that s = 4 cm when h = 5 cm. Using this information, we can find the constant of proportionality k in equation (2) as follows:

5 ∝ 1/4^2

5 ∝ 1/16

k = 16 * 5 = 80

Therefore, we have:

h = k/s^2 ... (3)

Now we can use equations (1) and (3) to find the length of the side of the base when the height is 3.2 cm:

V = (1/3) * s^2 * h

V = (1/3) * s^2 * (k/s^2)

V = k/3 * s^2

We know that V is fixed, so we can set the right-hand side of this equation equal to V and solve for s:

V = k/3 * s^2

s^2 = 3V/k

s = sqrt(3V/k)

Plugging in the given values, we get:

s = sqrt(3V/80)

s = sqrt(3*V)/sqrt(80)

s = sqrt(3)/4 * sqrt(V)

Now we can use the given height of 3.2 cm to find the value of V, and then substitute it into the equation for s:

3.2 = k/s^2

s^2 = k/3.2

s = sqrt(k/3.2)

Plugging in the value of k we found earlier, we get:

s = sqrt(80/3.2)

s = sqrt(25)

s = 5

The value of x in the figure is solved to be

x = -6

The central angle is given in the problem as angle 151 degrees. This is the angle formed at the center of the circle

The relationship between intercepted arc and the central angle is  

central angle = intercepted arc

in the problem, we have that

central angle = 151 degrees

intercepted arc = -24x + 7

plugging in the values

151 = -24x + 7

151 - 7 = -24x

144 = -24x

x = -6

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Answer:

9.5

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

To evaluate the line integral using Green's Theorem, we first need to find the curl of the given vector field. The vector field in this case is F(x, y) = (e^x cos(2y), -2e^x sin(2y)).

Using the partial derivative notation, we have:

∂F/∂x = (d/dx)[e^x cos(2y)] = e^x cos(2y)

∂F/∂y = (d/dy)[-2e^x sin(2y)] = -2e^x cos(2y)

Now, we can calculate the curl of F:

curl(F) = ∂F/∂x - ∂F/∂y = e^x cos(2y) + 2e^x sin(2y)

Next, we need to find the area enclosed by the curve C, which is described by the equation x^2 + y^2 = a^2, where 'a' is a constant representing the radius of the circle.

To apply Green's Theorem, we integrate the curl of F over the region enclosed by C. However, since the given curve C is a closed curve, the integral of the curl over this region is equal to the line integral of F around C.

Using Green's Theorem, the line integral is given by:

∮C F · dr = ∬R curl(F) · dA

Here, ∮C represents the line integral around the curve C, ∬R denotes the double integral over the region enclosed by C, F · dr represents the dot product of F with the differential element dr, and dA represents the area element.

Since the region enclosed by C is a circle, we can use polar coordinates to evaluate the double integral. Setting x = r cosθ and y = r sinθ, where r ranges from 0 to a and θ ranges from 0 to 2π, we have dA = r dr dθ.

Substituting the values into the line integral expression, we have:

∮C F · dr = ∫[0 to 2π]∫[0 to a] (e^(r cosθ) cos(2r sinθ) + 2e^(r cosθ) sin(2r sinθ)) r dr dθ

Evaluating this double integral will yield the final result of the line integral. However, due to the complexity of the expression, it may not be possible to find an exact closed-form solution. In such cases, numerical methods or approximations can be employed to estimate the value of the line integral.

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Differential equations involve the study of mathematical equations that relate an unknown function to its derivatives or differentials.

Zero-input response (yzi(t)) refers to the response of the system when there is no input (x(t) = 0). To find the zero-input response of the given system, we need to solve the homogeneous equation:

d²y(t)/dt² + 4(dy(t)/dt) + 3y(t) = 0

Using the characteristic equation approach, let's assume the solution to the homogeneous equation is of the form y(t) = e^(λt). Substituting this into the equation, we get:

λ²e^(λt) + 4λe^(λt) + 3e^(λt) = 0

Dividing the equation by e^(λt) gives:

λ² + 4λ + 3 = 0

Factoring the quadratic equation, we have:

(λ + 3)(λ + 1) = 0

This gives two distinct values for λ: λ = -3 and λ = -1.

Therefore, the general solution for the homogeneous equation is:

y(t) = c₁e^(-3t) + c₂e^(-t)

Using the initial conditions y(0) = -3 and y'(0) = 2, we can find the particular solution. Differentiating y(t) with respect to t and applying the initial conditions, we obtain:

y'(t) = -3c₁e^(-3t) - c₂e^(-t)

Applying the initial conditions y(0) = -3 and y'(0) = 2, we get:

c₁ + c₂ = -3 (equation 1)

-3c₁ - c₂ = 2 (equation 2)

Solving equations 1 and 2 simultaneously, we find c₁ = -2 and c₂ = -1.

Therefore, the zero-input response of the system is given by:

yzi(t) = -2e^(-3t) - e^(-t)

To find the zero-state response (yzs(t)) of the system to the unit step input (x(t) = u(t)), we need to solve the differential equation:

d²y(t)/dt² + 4(dy(t)/dt) + 3y(t) = u(t) - 2u(t)

Taking the Laplace transform of both sides of the equation, we have:

s²Y(s) - sy(0) - y'(0) + 4sY(s) - 4y(0) + 3Y(s) = 1/s - 2/s

Applying the initial conditions y(0) = -3 and y'(0) = 2, and rearranging the equation, we get:

s²Y(s) + 4sY(s) + 3Y(s) - s(-3) - 2 + 4(-3) = 1/s - 2/s

Simplifying further, we have:

Y(s) = (s + 7)/(s² + 4s + 3) + 1/(s(s - 2))

Using partial fraction decomposition, we can express Y(s) as:

Y(s) = A/(s + 1) + B/(s + 3) + C/s + D/(s - 2)

Multiplying through by the denominator, we get:

s + 7 = A(s + 3)(s - 2) + B(s + 1)(s - 2) + C(s² - 2s) + D(s² + 4s + 3)

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Given:

Required:

We have to find the height of the mountain and the distance between A and B.

Answer:

1.65 + 0.09s

Step-by-step explanation:

Cost of speaker = 22

Cost per song = $1.25

Sales tax = 7.5%

Sales tax due on entire purchase :

0.075(22 + 1.25s)

1.65 + 0.09375s

To the nearest hundredth :

1.65 + 0.09s

(a). AU(BUC) = {1, 2, 3, 4, 5}.

(b). (AUB)UC = {1, 2, 3, 4, 5}.

(c). (AUB)UC is a subset of AU(BUC) and that AU(BUC) is a subset of (AUB)UC.

First, we need to find  set operation of union BUC, which is the union of B and C. BUC = {1, 2, 3, 4, 5}.

Then, we take the union of A and BUC: AU(BUC) = {1, 2, 4} U {1, 2, 3, 4, 5} = {1, 2, 3, 4, 5}.

First, we need to find union AUB, which is the union of A and B. AUB = {1, 2, 4, 5}.

Then, we take the union of AUB and C: (AUB)UC = {1, 2, 4, 5} U {1, 2, 3} = {1, 2, 3, 4, 5}.

Based on the results obtained in (a) and (b), we can make the conjecture that for any sets A, B, and C, (AUB)UC = AU(BUC).

To understand the significance of this conjecture, we can look at the individual set operations that we performed in parts (a) and (b). In both cases, we obtained the same set {1, 2, 3, 4, 5}. This suggests that there might be a general relationship between these set operations that holds true for all sets A, B, and C. Our conjecture suggests that this relationship is given by the equality (AUB)UC = AU(BUC).

To verify our conjecture, we would need to prove that both sets are equal, i.e., show that (AUB)UC is a subset of AU(BUC) and that AU(BUC) is a subset of (AUB)UC. We can do this using set membership proofs.

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Answer:

C option

Step-by-step explanation:

C is the correct solution of to above equation

Answer:

-x⁹y²

Step-by-step explanation:

(x)^3(−x^3y)^2

Applying distribution property,

Answer:

8×8 then 2×2 put those answers together and divide more answers at photomath

Step-by-step explanation:

8

×8

__

64

2

×2

__

4

64÷4=?

Answer:

My summary is on Happy Death Day

Basically there is this girl, she got murdered in the night but before being murdered she spent the entire day being mean and making choices she would later on regret, but when she dies she wakes up again in her room and the same exact things that happened the day the died happened, it was exactly the same. This happened over and over again and she kept dying no matter what she did, it was like a time loop that restarted whenever she was murdered. She had to solve it by killing the one who murdered her or stopping it somehow, she tried everything to avoid being killed. She even got herself sent to jail but still died there, she made a list and tried figuring out who the murderer was. She spent one day being nice to everyone, thinking she had figured out how to stop the murderer because she wanted her day to be great because she thought she wouldnt be killed that night as she thought she knew how to survive. She ate the cupcake her roommate offered her and wasnt murdered that night (the other days she ignored her roommate) Before she went to sleep she said a quote when she was making her Birthday wish (she died on her birthday, hence the name happy death day) "What do you wish for?" "Tomorrow."

"Just...Tomorrow?" "Yeah." She then woke up again in the time loop, and the day repeated. She was confused to why this happened when at the end of the day her roommate offered her the cupcake. She realized the cupcake had poison in it and killed her roommate. But she died again, still in the time loop. She was so confused, all she knew was that her killer wore a mask. Then, after research she figured out it was a mentally ill patient who was killing her. Her best friend (boy friend/guy friend) then  sacrificed himself for her taking the hit so she could live, she finally was able to escape the killer. But she realized, if she broke out of the time loop, it would continue so that her guy friend/boy friend was dead. The one who sacrificed himself for her, so she (I don't want this answer to get taken down for describing what she did, but let's say she died on purpose) And woke up again in the time loop. This time she rushed to kill the patient who had been killing her every night in the time loop, and the time loop was broken. That's the summary.

Answer:

will a summary of sinister do?

Summary of "Sinister'

so basically it all starts out with a family downsizing their house because of the dad's job. So they move into the house and they find a weird box in the attic, with a few old tapes and a projector, so the dad starts watching the tapes. (on the tapes their are murders of like 5 other families but he doesnt know that.) so then creepy stuff starts happening like first the attic where they found the creepy box keeps opening by itself. then the little girl starts drawing pictures of  murders and her with mr.boogie, and the boy keeps waking up with bruises and injuries, and at the end the girl kills the whole family.

Answer:

y = -15

Step-by-step explanation:

All you have to do is 51 divided by -3.4 and it equals -15. Inverse operations in short terms. And if you substitute -15 for y it will fir.

Answer:

-3.4y = 51

y = 51/-3.4

y = 510/-34

y = -15

Answer:

i don get it

Step-by-step explanation:

i stil don get it

Answer: 92

Step-by-step explanation:

Observe that the probability is symmetric around \(45^{\circ}\).

If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).

We can now rearrange as follows:

\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)

Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,

\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).

Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).

This means, \(m=2, n=90 \implies m+n=92\).

Given:

A shoe store uses a 115% markup on cost.

Selling price of pair of shoes = $85.49

To find:

The cost of shoes before markup.

Solution:

Let x be the cost of shoes before markup.

A shoe store uses a 115% markup on cost.

So, the selling price of the shoes is

\(S.P.=x+\dfrac{115}{100}x\)

\(S.P.=x+1.15x\)

\(S.P.=2.15x\)

Selling price of pair of shoes is $85.49.

\(2.15x=85.49\)

\(x=\dfrac{85.49}{2.15}\)

\(x=39.76279\)

\(x\approx 39.76\)

Therefore, the cost of shoes before markup is $39.76.

The exact amount of copper foil covering the steeple is 720√3 square meters.

The lateral area of the prism is given as 2400 m². We know that the lateral area of a prism is given by the formula:

Lateral area = perimeter of base x height of the prism

Let's denote the side length of the hexagonal base by s. The perimeter of the base is then 6s, and the height of the prism is 100 m. Using the given lateral area, we can solve for s:

2400 = 6s x 100

s = 4 x √15

The base area of the steeple is the same as the base area of the prism, which is given by:

Base area = (3 x √3 x s²) / 2

The steeple is composed of equilateral triangles, so each face of the steeple is an equilateral triangle with side lengths. The area of an equilateral triangle is given by the formula:

Area = (√3 * s²) / 4

The total surface area of the steeple is the sum of the areas of its faces. There are six faces, so the total surface area is:

Total surface area = 6 x Area

Total surface area = 6 x (√3 x s²) / 4

Total surface area = (3 x √3 x s²) / 2

Substituting the value of s we found earlier, we get:

Total surface area = (3 x √3 x (4 x √15)²) / 2

Total surface area = 720 x √3

Therefore, the exact amount of copper foil covering the steeple is 720√3 square meters.

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A sphere thrown upward at a 45-degree angle to the horizontal in a classroom elastically bounces off the ceiling while still rising

At time t = 0, a sphere is launched with an initial velocity at a 45-degree angle to the horizontal in a classroom. The sphere follows a parabolic trajectory as it rises due to the upward component of its initial velocity and experiences the downward pull of gravity. While the sphere is still ascending, it reaches the ceiling and collides with it.

During the elastic collision, the sphere's motion is reversed. It rebounds off the ceiling, changing its direction but maintaining its kinetic energy. As a result, the sphere starts descending with the same speed it had before the collision but in the opposite direction. The angle of descent will also be 45 degrees to the horizontal, mirroring the angle of the initial launch.

Throughout the entire process, neglecting air resistance, the total mechanical energy of the sphere is conserved since the collision with the ceiling is elastic.

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Answer:

CR = 17

Step-by-step explanation:

Using Pythagoras Theorem:

a² + b² = c²

8² + 15² = CR²

64 + 225 = CR²

289 = CR²

CR = √289

CR = 17

Answer: 3

Step-by-step explanation:

3(-1)^2

Answer: 3

Step-by-step explanation:

hope this helps

Answer:

28√2

Step-by-step explanation: i promise its the answer.

Answer:

28

Step-by-step explanation:

Its the top part  for the number

Answer:

3/21, 14.29%, or 14.29

Step-by-step explanation:

John has 21 total marbles, which includes 3 blue ones.

(That's 3 over 21)

Hope this helps!

One disadvantage of using a large sample size in research is the c) increased expense associated with data collection, participant recruitment, incentives, and data processing.

While a large sample size is generally advantageous in statistical analysis and research, it comes with certain drawbacks. One of the main disadvantages is the increased expense involved in working with a large sample size. Collecting data from a larger sample requires more resources, such as time, money, and personnel. The costs associated with data collection, participant recruitment, incentives, and data processing can escalate significantly with larger sample sizes. This can pose a challenge for research studies or projects with limited resources or tight budgets.

The expenses incurred when working with a large sample size can include various aspects. For example, reaching out to and recruiting a larger number of participants can require additional efforts and costs for advertising, communication, and coordination. Providing incentives or compensation to a larger sample size can also be more expensive. Additionally, data processing and analysis become more time-consuming and resource-intensive with larger datasets, potentially requiring more advanced software, hardware, or computational resources. All these factors contribute to the increased expense associated with using a large sample size in research. Therefore, it is essential for researchers and organizations to carefully consider the financial implications and resource availability before deciding on the sample size for a study or project.

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Answer:

??????????

Step-by-step explanation:

Answer:

me too tbh

Step-by-step explanation:

Answer:(6,8)

Step-by-step explanation: I didn't use a formula, but since (3,4) was the midpoint I went out three more and up four more, which got me to (6,8).

Option (D) is correct.

In the equation y=x/5+152 the degree of variables, x and y is 1 . Therefore, the given equation is linear.

An equation is said to be linear if the highest power of the variable is always 1. The standard form of a linear equation with one variable is Ax + B = 0. The variables x and A in this case are variables, whereas B is a constant.

A linear equation with two variables has the standard form Ax + By = C. In this case, we have the variables x and y, the coefficients A and B, and the constant C.

Given that a linear equation is an equation of a straight line, each of its variables' degrees must be either 0 or 1.

In this situation, both the degree of the variables y and x are 1.

Hence, the given equation is Linear.

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Answer:

C. Shading should go below a dashed line

Step-by-step explanation:

y <

Y is less than. So, shade below where all the numbers are less than

And because it's NOT \(\leq\) or \(\geq\) , its dotted. Meaning the solutions are not on the line.

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

What is Probability?

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability. We can determine everything from the likelihood of receiving heads or tails when tossing a coin to the likelihood of making a research blunder, for instance, using a probability. It is crucial to grasp this branch's most fundamental concepts in order to fully comprehend it, including the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc.

According to  the given question:

a. Probability that a person could give up cell phone = 0.48

b. Probability that a person who could give up her cell phone also could give up television

= P(give up cell phone and TV)/p(give up cell phone)

= 0.31/0.48

= 0.6458

= 0.65

c. Probability that a person who could not give up a cell phone could give up television is

= P(could not give up cellphone and could give up TV)/P(could not give up cell phone)

= 0.38/0.52

= 0.73

d. The probability a person could give up television is higher for persons who couldn't give up cell phones than for those who could give up their cell phones.

Hence,

(a)Probability that a person could give up cell phone = 0.48

(b)Probability that a person who could give up her cell phone also could give up television is 0.65

(c) Probability that a person who could not give up a cell phone could give up television is 0.73

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Answer:

x=3 15/16 hours together

Step-by-step explanation:

the painter paints 1/7 of the house in 1 hour

the assistant paints 1/9 of the house in 1 hour

x=# of hours it takes them together to paint the house

(1/7)x+(1/9)x=1 (job finished)

multiply both sides by the LCM which is 63

63(1/7)x+63(1/9)x=63(1)

9x+7x=63

16x=63

x=63/16

x=3 15/16 hours together

Answer:

Quadrant 4 i believe plz tell me if im wrong

Step-by-step explanatio

Answer:

4th Quadrant

Step-by-step explanation: