Help meeeeeeeeeee pleasee !!

well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

The five number summary and interquartile range for the data-set is given by:

The five number summary is composed by the minimum and maximum value, and the first quartile, median and third quartile. As for each of these data, they are explained below.

In this problem, we have that:

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The function f satisfying the given conditions is

f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10

How to determine the function f?

To determine the function f satisfying the given conditions f ' (x) = sin(x) cos(x), f (2p) = 10, and f (x) = A sinB(x) cosC(x) + D, where A > 0, we need to follow these steps:

1. Integrate f ' (x) to find f (x).
∫(sin(x) cos(x)) dx = (1/2) * sin^2(x) + C

2. Apply the given condition f (2p) = 10.
(1/2) * sin^2(2p) + C = 10
Since sin(2p) = 0, the equation becomes:
C = 10

3. Now, we have f(x) = (1/2) * sin^2(x) + 10. We need to express this function in the form of A sinB(x) cosC(x) + D.
We can rewrite the given function as:
f(x) = A sin(2x/2) cos(0) + D
Comparing this with f(x) = (1/2) * sin^2(x) + 10, we get:

A = 1/2
B = 2/2 = 1
C = 0
D = 10

So, the function f satisfying the given conditions is:

f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10

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The correct option is B.

5 pound

The number (5.3) after Decimal is <5 so it round off to 5.

It is the same to round a number to one decimal place as to the nearest tenths. At this instance, it is known which numeral is in the hundredths position. When the number in the hundredths place is higher than or equal to 5, the tenths digit is raised by one unit.

A typical rule of thumb is to glance at the digit immediately to the right of the place value you want to round to and make your choice. For instance, rounding 5.1837 to the closest hundredth would result in 5.18 (because 3<5), whereas rounding 5.184 to the nearest thousandth would result in 5.184 (because 7>5).

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I understand that the question your are looking for is:

A scale measured a 4.5-pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?

A. 4.98 pounds

B. 5 pounds

C. 5.52 pounds

D. 6 pounds

Answer:

Step-by-step explanation:

-4/10+(-7/10)=-1 1/10

Answer: 3480 seconds and 5420 feet

Step-by-step explanation:

We can set an equation for both Keith and Erica. Let t = time in seconds.

Keith's BalloonHeight = 1.5*t+200ft

Erica's Balloon Height = 1.4*t+548ft

We want to know when E=K (same height)

1.4*t+548ft = 1.5*t+200ft

348 = 0.1t

t = 3480 seconds

Use this time in either Keith's or Erica's Height formula:

Keith Balloon Height: 1.5*t+200ft for t=3480

1.5*(3480)+548

Keith's Height in 3460 sec: 5420 feet

Erik's Balloon Height: = 1.4*t+548ft

= 1.4*(3480)+548ft

Erik's Height in 3480 sec: 5420 feet

The two lines intersect at (3460,5420). At 3460 seconds both balloons will be at 5420 feet.

Answer:

  -1/2

Step-by-step explanation:

You want the limit as x→0 of the ratio (6x -sin(6x))/(6x -tan(6x)).

The given expression evaluates at x=0 to (0 -0)/(0 -0) = 0/0, an indeterminate form. Hence, L'Hôpital's rule applies.

The ratio of derivatives of the numerator and denominator is ...

  (6 -6cos(6x))/(6 -6sec²(6x))

which still evaluates to 0/0 at x=0.

Applying L'Hôpital's rule a second time gives ...

  \(\dfrac{36\sin(6x)}{-72\sec^2(6x)\tan(6x)}=\dfrac{-\cos^3(6x)}{2}\)

At x=0, this evaluates to -1/2.

The limit as x→0 is -1/2.

__

Additional comment

We like to check these limits using a graphing calculator. The graph is in the second attachment.

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Answer:

8

Step-by-step explanation:

You know a cube has 6 sides, so you divide 24 by 6 to get the surface area of 1 side

24/6 = 4

Then to get the side length of the cube, square root 4

\(\sqrt{4} = 2\)

To get the volume, multiply the base (4) by the height (2)

4*2 = 8

Answer:

  (-9, 16)

Step-by-step explanation:

If (x, y) = (-9, 4), then (x, 4y) = (-9, 4·4) = (-9, 16).

Answer:

The area of the shaded region is 38x^2 - 12x

Step-by-step explanation:

The area of the shaded region is [(8x - 1) * 6x] - [(5x + 3) * 2x]

(8x - 1) * 6x = 6x*8x - 6x*1 = 48x^2 - 6x

(5x + 3) * 2x = 5x*2x + 2x*3 = 10x^2 + 6x

So now we have:

(48x^2 - 6x) - (10x^2 + 6x)

-6x - (+6x) = -12x

48x^2 - 10x^2 = 38x^2

The area of the shades region is 38x^2 - 12x

A z-score of -2 indicates that the sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population.

To answer this question, we need to calculate the z-score of the sample mean. The formula for the z-score is (sample mean - population mean) / standard error.

Plugging in the values given, we get:

z = (80 - 100) / 10 = -2

A z-score of -2 indicates that the sample mean is 2 standard errors below the population mean.

Based on this information, we can conclude that the sample mean does not occur very often by chance in the sampling distribution of means, and probably did not come from the given population.

This is because the z-score is beyond the typical range of values we would expect to see if the sample mean came from the population.

In this case, you have a random sample with a mean of 80, while the population mean is 100, and the standard error is 10.

To calculate the z-score, use the formula: (sample mean - population mean) / standard error, which is (80-100)/10 = -20/10 = -2.

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The number of communication channels, 1 channels would two people require.

To find number of communication channels, we use;

On the other hand, it might be a sign of the scope and intensity of the project communication management needed in huge projects and so-called megaprojects. This could, for example, entail allocating specific resources to project communication responsibilities in accordance to the number of available channels for communication. These factors may be especially important for teams working on sensitive projects and projects where information flow may be unclear or even fraudulent.

Number of potential communication channels = n x (n-1)/2

Given n = 2;

→ x = 2*(2 - 1)/2

    = 2*1/2

    = 1

The number of communication channels, 1 channels would two people require.

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Step-by-step explanation:

To rent a jet ski it cost a flat fee of $80 for the entire day. How much does it cost for 2 hours of use?

there are 24 hours in a day

80/24 = 3.333333 per hour

for two hours it costs:

3.33333 * 2 = $6.67 (rounded)

Answer:

It would be the first one

Step-by-step explanation:

Start at 0 and the end shows 2.5

Answer:

Step-by-step explanation:

12.33(4)+24= 73.32

then add the extra 30$ that was spent

73.32+30= $103.32

Answer:

ok so if the bird is on the top at 15 and a half then goes down six feet substrate 15 and a half from six and you get nine and half from the ground to the bird

Step-by-step explanation:

Answer: 18a4 - 6a3b - 5a2b4 - 45a2b2 + 36ab2 - 12ab + 3b

———————————————————————————————-

3

Step-by-step explanation:

The dimensions of the garden last year were 15 feet by 4 feet.

Let the length of the garden last year be L feet, and the width be W feet. We are given that the area of the garden last year was 60 square feet:

L * W = 60

This year, the garden is 1 foot wider and 3 feet shorter than last year's garden:

Length: L - 3

Width: W + 1

The area of the garden remains the same:

(L - 3) * (W + 1) = 60

Now we have two equations with two variables:

L * W = 60

(L - 3) * (W + 1) = 60

We can solve this system of equations using substitution or elimination. Let's use substitution. From equation 1, we can write L as:

L = 60 / W

Now substitute this expression for L in equation 2:

(60 / W - 3) * (W + 1) = 60

Simplify and solve for W:

60 + 60 / W - 3W - 3 = 60

Combine like terms:

60 / W - 3W = 3

Multiply both sides by W to eliminate the fraction:

60 - 3W² = 3W

Move all terms to one side:

3W² + 3W - 60 = 0

Divide the equation by 3:

W² + W - 20 = 0

Factor the quadratic equation:

(W + 5)(W - 4) = 0

The possible values for W are -5 and 4. However, since width cannot be negative, W must be 4 feet. Now, use the expression for L to find the length:

L = 60 / W = 60 / 4 = 15 feet

So, the dimensions of the garden last year were 15 feet by 4 feet.

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Answer:

About 51.94 rupees (rounded).

Step-by-step explanation:

40000 / 770

Answer: a reflection across the x-axis

The side of the square will be 47 cm.

A quadrilateral is a four-sided polygon, having four edges and four corners.

Square is a regular quadrilateral, which has all the four sides of equal length and all four angles are also equal.

Given that the side is x cm

each side of the square is increased by 4cm

Then side will be x+4 cm

The area is increased by 392cm².

x²+392=(x+4)²

x²+392=x²+16+8x

392-16=8x

376=8x

Divide both sides by 8

x=376/8

x=47

Hence, the side of the square will be 47 cm.

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Answer: oranges=60%  non-oranges=40%

Step-by-step explanation: divide by total to find percentages

oranges=9/15

9/15=60%

non oranges=6/15

6/15=40%

Answer: 1.56 kilometers

Step-by-step explanation:

you multiply 520 by 3 because she ran for three days

so she ran 1560 meters

1000 meters= 1 kilometer

that makes it 1.56 kilometers

Answer:

66 dollars im pretty sure

Step-by-step explanation:

The hole will be of a radius of 7.63 inches when its perimeter is 48 inches.

The hole is in the form of a circle.

The perimeter of the circle = perimeter of the hole = 48 inches.

Let r be the radius of the vent,

The perimeter of the circle is known as the Circumference.

Circumference of the circle is given by \(2\pi r\)

So,

\(2\pi r = 48\\\\2*\frac{22}{7} *r =48\\\\r =\frac{48*7}{22*2} =7.63\)

The hole will be of a radius of 7.63 inches.

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The data structures are true:  Option (1,3)

Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.

For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development

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Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.

Answer:

B. y = 1/3x + 4

Explanation:

Given a function whose:

• Slope, m = 1/3

• y-interept, b = 4

To find the equation that describes the function, substitute the given values into the slope-intercept form of a line.

This gives:

The correct equation is option B.

The probability of having a run of 3 consecutive heads within the first 10 flips is 0.36.

In a sequence of independent flips of a fair coin that comes up heads with a probability of 0.6, we want to find the probability of having a run of 3 consecutive heads within the first 10 flips.

To solve this problem, we can use the concept of binomial probability. The probability of getting a head on any given flip is 0.6, and the probability of getting a tail is 0.4.

To find the probability of having a run of 3 consecutive heads, we need to consider different scenarios:

Scenario 1: The first three flips are heads.
Scenario 2: The second, third, and fourth flips are heads.
Scenario 3: The third, fourth, and fifth flips are heads.
...
Scenario 8: The eighth, ninth, and tenth flips are heads.

We can calculate the probability of each scenario separately and then add them up to find the overall probability.

Scenario 1: The probability of getting three consecutive heads is 0.6 * 0.6 * 0.6 = 0.216.

Scenario 2: The probability of getting three consecutive heads is 0.4 * 0.6 * 0.6 = 0.144.

Scenario 3: The probability of getting three consecutive heads is 0.4 * 0.4 * 0.6 = 0.096.

...
Scenario 8: The probability of getting three consecutive heads is 0.4 * 0.4 * 0.6 = 0.096.

Now, we add up the probabilities of all these scenarios:

0.216 + 0.144 + 0.096 + ... + 0.096

To make it easier, we can use the formula for the sum of a geometric series:

Sum = a * (1 - r^n) / (1 - r)

In this case, a = 0.216, r = 0.4, and n = 8 (the number of scenarios).

Sum = 0.216 * (1 - 0.4^8) / (1 - 0.4)
   = 0.216 * (1 - 0.00065536) / 0.6
   = 0.216 * 0.99934464 / 0.6
   = 0.216 / 0.6
   = 0.36

Therefore, the probability of having a run of 3 consecutive heads within the first 10 flips is 0.36.

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The surface area of the total area of the faces of the given figure. The surface area of the figure is 900 square meters

The surface area of the total area of the faces of the given figure.

The given figure is made up of 3 rectangles and 2 triangles:

Surface area = area of 3 rectangles + area of 2 triangles

Surface area  = [2(17*10) + 16*10] + (16*15)
Surface area = 2(170+160) + 240
Surface area = 660 + 240
Surface area = 900 square meters

Hence the surface area of the figure is 900 square meters

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The number of moles of copper (Cu) is 0.1574 moles, and the number of moles of oxygen (O2) is 0.0788 moles.

The statement indicates the quantities of moles for two substances, copper (Cu) and oxygen (O2). It states that there are 0.1574 moles of copper and 0.0788 moles of oxygen. The mole is a unit used in chemistry to represent the amount of a substance, and it is based on Avogadro's number \((6.022 * 10^{23})\). The given values specify the number of moles for each element, indicating the relative quantities present in a chemical reaction or a given sample.

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