3n + 8 = 35 solve for n

Answer: x = 10

7x + 5 is equal to 9x - 15 because they have and share similar angles and verticies.

7x + 5 = 9x - 15

subtract 7x and and 15 to both sides. This leaves us with.

20 = 2x

Divide both sides by 2 to get x alone.

10 = x

Plug x back into original equation to check work.

7 (10) + 5 = 9 (10) - 15

70 + 5 = 90 - 15

75 = 75

(D) the floor of a classroom is a perfect example of a line segment.

Therefore, (D) the floor of a classroom is a perfect example of a line segment.

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The correct form of the question is given below;
Which is an example of a line segment?

(A) the edge of a book

(B) the corner of a box

(C) a beam of light

(D) the floor of a classroom

Answer: dunno

Step-by-step explanation: dunno

Answer: n + 9

Step-by-step explanation:

Answer:

Part A: So the solution for 4 = 2x-1 is -2. Why they're intersecting is because x is -0.5 in both cases. 2/4, as we already know, is 0.5. Since, this -2/4, we can just make 0.5 negative, so -0.5. -0.5 times 4 = -2, so x is -0.5. For y = 2x-1, multiply -0.5 by 2, which would get you -1. Then after that subtract 1, for -2.

Part B:

Well, notice how none of the entries for y = 4x and y = 2x-1 match. That would mean the answer wouldn't be an integer. (Attachment is the table)

Part C:

First, graph both y = 4x and y = 2x-1. After that, find where the two equations' y-coordinates are the same (So, on a graph, where they intersect.). The y-coordinate in common is your answer.

Answer:

A: the intersection represents the answer because the place where it intersects is where the equations have the same x values.

B:  they intersect at the point (0,1)

C: plot the equations on an online graph and solve, Its almost impossible to draw an accurate continuing graph for an exponential equation. I recommend desmos.

Step-by-step explanation:

I have a graph for part B.

The area of triangle GHI is approximately 11.0 square units.

The area of triangle GHI can be found using the formula: Area = 1/2 * base * height We can first find the length of the base by using the distance formula to find the distance between points G and H: GH =

\([(8-5)^2 + (-3+8)^2]\) = √74

Next, we can find the height of the triangle by drawing a perpendicular line from point I to the line GH. This creates a right triangle with legs of length 2 and √74, and hypotenuse GH. We can use the Pythagoras theorem to solve for the height:  \(IH^2 = GH^2 - GI^2\) =  \(74 - 3^2\) = 65 IH = √65.

Now that we know the base and height of the triangle, we can plug them into the formula: Area =  \(1/2 \times GH \times IH = 1/2 \times 74 \times 65 = 481/2 = 11.0\)square units

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The interval of convergence is (-18/5, 18/5).

To express f(x) as a power series, we first need to decompose it into partial fractions:

f(x) = 11/(x^2 - 7x - 18) = 11/[(x - 9)(x + 2)]

Using partial fractions, we can write:

11/[(x - 9)(x + 2)] = A/(x - 9) + B/(x + 2)

Multiplying both sides by the denominator (x - 9)(x + 2), we get:

11 = A(x + 2) + B(x - 9)

Setting x = 9, we get:

11 = A(9 + 2)

A = 1

Setting x = -2, we get:

11 = B(-2 - 9)

B = -1

Therefore, we have:

f(x) = 1/(x - 9) - 1/(x + 2)

Now, we can write the power series of each term using the formula for a geometric series:

1/(x - 9) = -1/18 (1 - x/9)^(-1) = -1/18 * sigma^n=0 to infinity (x/9)^n

1/(x + 2) = 1/11 (1 - x/(-2))^(-1) = 1/11 * sigma^n=0 to infinity (-x/2)^n

So, putting everything together, we get:

f(x) = 1/(x - 9) - 1/(x + 2) = -1/18 * sigma^n=0 to infinity (x/9)^n + 1/11 * sigma^n=0 to infinity (-x/2)^n

The interval of convergence can be found using the ratio test:

|a_n+1 / a_n| = |(-x/9)^(n+1) / (-x/9)^n| + |(-x/2)^(n+1) / (-x/2)^n|

= |x/9| + |x/2|

= (|x|/9) + (|x|/2)

For the series to converge, we need |a_n+1 / a_n| < 1. This happens when:

(|x|/9) + (|x|/2) < 1

Solving for |x|, we get:

|x| < 18/5

Therefore, the interval of convergence is (-18/5, 18/5).

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Answer:

28.6 cm

Step-by-step explanation:

Given radius of semicircle (r) = 9.1 cm

perimeter of a semicircle = πr

= 22/7 × 9

= 22 × 1.3

= 28.6

We have the parabola with equation y = 4x².

We have to determine the shape and direction of it.

If we compare it to the standard equation y = ax² + bx + c, we can see that a = 4, b = 0 and c = 0.

As the value of a is positive, the parabola will open upward.

The parameter has an absolute value greater than 1. This means that y increases "faster" relative to x that a parabola with a = 1.

This means that the parabola will be narrow about its line of symmetry which we call vertical strecth.

Answer:

Because a is positive the parabola opens upward.

Because a has an absolute value larger than 1 the parabola is narrow about its line of symmetry which we call vertical stretch.

The side length of each piece of quilt is approximately 24.06 inches.

In the given scenario, quilt square is cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 34 inches long. We have to determine the side length of each piece.

In a right triangle, according to the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.

So, we can use the Pythagorean theorem to find the length of the sides of the triangular quilt pieces.

The theorem states that a² + b² = c². In this case, c = 34 inches.

Let's assume that each quilt square has sides of length x inches.

When the square is cut diagonally, it is divided into two triangles with legs of length x inches.

According to the Pythagorean theorem, the length of the hypotenuse (34 inches) of each triangle is given by:

x² + x² = 34²2x² = 1156x² = 578x = √578 ≈ 24.06 inches

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Answer:

I think it´s 8 1/2 minutes not sure tho plz mark brainliest:) Hope this helps

Step-by-step explanation:

The points on function g(x) are: (-3,-2), (-2,-1), (-1,0), (0,1) and (1,2)

The points in the table below are on the linear function f.

x 0 1 2 3 4

f(x) -4 -2 0 2 4

Function g is a transformation of function f using a horizontal shift 3 units left and a vertical compression by a factor of 1/2 . Plot the corresponding points on function g.

The table of values of function f(x) are given as:

x 0 1 2 3 4

f(x) -4 -2 0 2 4

The function f(x) is transformed to g(x) as follows:

Horizontal shift 3 units left

The rule of this shift is:

(x,y) ⇒ (x - 3, y)

So, we have:

x     -3  -2 -1  0  1

f'(x) -4  -2  0  2  4

Vertical compression by 1/2

The rule of this compression is:

(x,y) ⇒ (x, y/2)

So, we have:

x     -3  -2 -1  0  1

g(x) -2  -1  0  1  2

Hence, the points on function g(x) are:

(-3,-2), (-2,-1), (-1,0), (0,1) and (1,2)

See attachment for the graph of g(x)

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a)  The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

Given that:

Radius of the circle, r = 8.20cm

Charge distributed along one-quarter of the circumference of the circle,

Q1 = +4.20pC

Charge distributed along 3/4th of the circumference of the circle,

Q2 = 25.20pC

Distance of the point from the center, d = 6.71cm

The electric potential at infinity is. V = 0

Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values ​​can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.

Formula:

The potential due to a point charge at a distance r from the point charge is determined by the equation V = \(\frac{1}{4\pi E_0} * \frac{q}{r}\)        ---------------- (1)

The potential due to the collection of point charges is determined by formula:

V = ∑\(\frac{1}{4\pi E_0} * \frac{q}{r}\)                 -------------------- (2)

(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}\)              --------------------- (3)

Here, R is the radius of circle

The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)                 ----------------------- (4)

Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:

    \(V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)

⇒ \(V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})\)

⇒ 9.0 × 10⁹Nm²/C₂ (\(\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}\))

⇒ -2.30V

The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

(b) From the above figure the r between each charged particle and the point P is given as:

\(r = \sqrt{R^{2}+D^{2} }\)                    

In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }\)                  ------------------ (5)

Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }\)                   -------------------- (6)

A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:

\(V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })\)

= -1.78V

The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

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The point estimate of the proportion of the population that would provide yes responses can be calculated by dividing the number of yes responses in the random sample by the size of the sample.

Therefore, the point estimate is 150/500 = 0.30 or 30% (to 2 decimals). It's important to note that this estimate is based on a random sample and may differ from the actual proportion of the population.

Step 1: Identify the number of yes responses (150) and the total number of individuals in the sample (500).

Step 2: Calculate the proportion by dividing the number of yes responses by the total number of individuals in the sample. In this case, it would be 150 divided by 500.

Step 3: Convert the proportion to a decimal by performing the division. This will give you 0.3.

Step 4: Round the decimal to 2 decimal places, as requested. In this case, 0.3 is already rounded to two decimal places.

So, the point estimate of the proportion of the population that would provide yes responses is 0.30 (to 2 decimals), based on the random sample provided.

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A. A sample size of 62 should be taken for a 95% level of confidence.

B. The sample size of 107 should be taken for a 99% level of confidence.

a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = population standard deviation

E = desired margin of error

For a 95% level of confidence:

Z = 1.96 (corresponding to a 95% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (1.96^2 * 8^2) / 2^2

n = (3.8416 * 64) / 4

n = 245.9904 / 4

n ≈ 61.4976

Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.

b. For a 99% level of confidence:

Z = 2.58 (corresponding to a 99% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (2.58^2 * 8^2) / 2^2

n = (6.6564 * 64) / 4

n = 426.0096 / 4

n ≈ 106.5024

Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.

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Answer:

Step-by-step explanation:

\(a = b \times h \\ \\ a = 9 \: \: {yd}^{2} \\ b = 6 \: \: yd \\ \\ 9 = 6 \times h \\ h = \frac{9}{6} \\ h = 1.5 \: \: yd\)

I hope that is useful for you :)

Answer:

70 degrees

Step-by-step explanation:

The angle opposite x and x itself are vertical angles, meaning that they have the same angle measure. Since the sum of the interior angles of a triangle is 180 degrees:

x+55+55=180

x+110=180

x=180-110=70

Hope this helps!

Answer: B I guess

Step-by-step explanation:

Answer:B

Step-by-step explanation:

To find the percent of Container A that is full after pumping water into Container B, we need to compare the volumes of the two containers. Container A Percent is 108.0%.

The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.

For Container A:

Radius (r₁) = 6 feet

Height (h₁) = 9 feet

Volume (V₁) = π(6²)(9) = 324π cubic feet

For Container B:

Radius (r₂) = 5 feet

Height (h₂) = 12 feet

Volume (V₂) = π(5²)(12) = 300π cubic feet

Since the water from Container A is pumped into Container B until it is completely full, the volume of water transferred is V₁.

To calculate the percent of Container A that is full after pumping, we can use the following formula:

Percent Full = (V₁ / V₂) * 100

Substituting the values, we get:

Percent Full = (324π / 300π) * 100

Percent Full ≈ 108%

Rounded to the nearest tenth, the percent of Container A that is full after the pumping is complete is approximately 108.0%.

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Answer:

No solution

Step-by-step explanation:

you get 40≠20

Answer:

The Y intercept is 9, and The Slope is 7x

Answer:

slope: 7 (or 7/1)

y int: 9

Step-by-step explanation:

Slope intercept formula is y=mx+b

(m) is slope

(b) is y intercept

so in

y=9+7x

we can flip the numbers around

y=7x+9

so 7 is our slope and 9 is the y intercept

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

r = -7

Step-by-step explanation:

-4 + 2r - 5r = 17

=> 2r - 5r = 17 + 4

=> -3r = 21

=> r = 21/(-3)

=> r = -7

The piston P is found to be 7.97 inches away from the center O of the crankshaft.

The reciprocating engine has crankshaft and the piston and we will be using the trigonometry to find the distance. Now, the angle in the crankshaft and the rod is to be used to find the distance in the center and the piston. Now assume that the crankshaft O and piston P are connected with each other and then the rod is horizontal so the angle is 15 degrees.

When OPQ is 15 degrees, we can use the law of cosines to find the distance OP, as follows:

OP² = 3² + 9² - 2(3)(9)cos(15)

OP² = 81 - 54cos(15)

OP ≈ 7.97 inches (rounded to two decimal places to get the accurate results)

Therefore, when OPQ is 15 degrees, the piston is approximately 7.97 inches from the center of the crankshaft.

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The volume of the solid generated when the region bounded by y = 9x and y = 27x/x is revolved around the x-axis is given by V = 27lnx - 9x + c

To calculate this volume, we need to calculate the area of the cross-section of a shell at x.

The cross-section is found by taking the difference of the two curves, y = 9x and y = 27x/x, at that particular x in the form of a rectangle.

The height of the rectangle is y₂ - y₁ and the width is the interval dx. Therefore, the area of the cross-section is given by

A(x) = (y₂ - y₁)dx = [(27x/x - 9x)dx].

The volume of the solid is then given by the formula

=> V = ∫A(x)dx.

Substituting in the expression for A(x), we have

=>  V = ∫(27x/x - 9x)dx.

Integrating this expression, we get V = 27lnx - 9x + c, where c is an arbitrary constant.

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The general solution of the differential equation dy/dt = ky, k a constant, is y = Cekx, where C is a constant.

The given differential equation is dy/dt = ky, where k is a constant. To find the solution to this differential equation, we need to integrate both sides of the equation separately concerning y and t.∫ 1/y dy = ∫ k dtln |y| = kt + C1 Where C1 is the constant of integration. By taking the exponential on both sides of the equation, we get;\(e^{(ln|y|)}\) = \(e^{(kt + C1)}\) Absolute value bars can be removed as y > 0. y = \(e^{(kt + C1)}\) The general solution of the differential equation dy/dt = ky is y = Cekx, where C is a constant. To find the particular solution of the differential equation, we use the given initial condition.4) y(0) = 1301, k = - 1.5y(0) = \(Ce^0\) = C = 1301The particular solution of the given differential equation is = 1301e^(-1.5t)

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A scatter plot shows the association between the variables it measures

The association shown on the graph between x and y is (d) No association

From the graph, we can see that the points on the plot are scattered, and they do not follow any pattern

This means that, there is no association between the x and y variables

Hence, the true statement is (d) No association

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Answer:

x-intercept : (-1.2,0) 

y-intercept : (0,-0.7)

Step-by-step explanation:

Hello!

An x-intercept is when the y-value is 0, and a y-intercept is when the x value is 0.

Another way to think about it, x-intercepts intersect with the x-axis, while the y-intercept intersects with the y-axis.

A coordinate, a point on a graph, is written as (x,y) or x-position and y-position.

x-intercept : (-1.2,0)  

y-intercept : (0,-0.7)

From the given data, we can see that only one condition is violated, which is the sample size being less than 10% of the population size. The other conditions, such as the population distribution being approximately normal, np > 10, and n(1-p) > 10, are all satisfied. Therefore, the statement "more than one condition is violated" is incorrect.

Only one condition is violated in the given data, which is the sample size being less than 10% of the population size. The other conditions are all satisfied and do not violate any of the conditions for a representative sample.

It is important to note that in order for a sample to be representative of the population, the sample size should be at least 10% of the population size. If the sample size is less than 10% of the population size, the sample may not accurately represent the population and the results may be biased.

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Answer:

B

Step-by-step explanation:

plz mark the brainliest. if that is adding not multiplying, you will do 3 divide by 8 first and then add 12. I think its a typo and it is multiply so if it is multiply, it is B. plz mark the brainliest