2. Write an algebraic equation and solve it
There are 70 passengers on a bus. At a bus stop, m passengers got off. There (2 passengers left. How many passengers got off the bus?​

(2+4i )+(3-6i)

= 2 + 4i+3 -6i

Answer:

5-2i

Step-by-step explanation:

(2+4i)+(3-6i)

2+4i+3-6i

5-2i

Please correct me if I am wrong

We will solve as follows:

In order to determie the lateral surface area and also the volume for the circular cylinder we operate as follows:

*Lateral surface area: We will determine the lateral surface area, this is the product of the circumference times the height:

Then:

So, the lateral surface area is approximately 188 square inches.

*Volume: We have that the volume for a circular cylinder is give by:

Then:

So, the volume of the cylinder is approxiately 188 cubic inches.

a)   The probability that none of the parts are defective is approximately 0.1074.

b)  The probability that none of the parts are defective using the binomial probability formula is approximately 0.0000001.

c)   The multiplication rule gives a more accurate estimate of the probability.

a) The probability that one part is not defective is 0.8, as 20% of the parts are defective. Using the multiplication rule, the probability that none of the 10 selected parts are defective is:

P(none defective) = (0.8)^10 = 0.1074

So the probability that none of the parts are defective is approximately 0.1074.

(b) Since the sample size is small relative to the population, we can treat the events as independent and use the binomial probability formula. The probability of selecting a non-defective part is still 0.8, and we want to find the probability of selecting 10 non-defective parts out of 10. Using the binomial probability formula, we have:

P(X=0) = (10 choose 0) * 0.8^0 * 0.2^10 = 0.0000001

So the probability that none of the parts are defective using the binomial probability formula is approximately 0.0000001.

(c) The results of parts (a) and (b) are quite different, with the probability in (b) being much smaller than the probability in (a). This is because the binomial probability formula assumes that the events are independent, which is not necessarily true when the sample size is large relative to the population. In this case, the multiplication rule gives a more accurate estimate of the probability.

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Step-by-step explanation: I hope this helps.

Answer:

Answer:

13x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

We get: B'(t) × 64e^(-8t) × x = -64x . This can be answered by the concept of Differentiation.

The function B(t) is given as B(t) = 8 + 8e^(-8t). We are required to find the derivative of B(t), denoted as B'(t), and then use it to find B'(t) when multiplied by 64e^(-8t) and x.

To find B'(t), we need to use the chain rule of differentiation. Let u = -8t, then we have B(t) = 8 + 8e^(u). Using the chain rule, we get:

B'(t) = d/dt [8 + 8e^(u)] = d/dt [8] + d/dt [8e^(u)] = 0 + 8e^(u) × d/dt [u]

Now, d/dt [u] = d/dt [-8t] = -8, since the derivative of a constant multiple of a variable is the constant itself. Thus, we have:

B'(t) = 8e^(u) × (-8) = -64e^(-8t)

Finally, multiplying B'(t) by 64e^(-8t) and x, we get:

B'(t) × 64e^(-8t) × x = -64x

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6x = 14.16

x = 14.16 / 6

14.16 / 6 = 2.36

unit price = 2.36

Answer:

times and divide

they are both diffrent equations

Answer:

x = -48

Step-by-step explanation:

The equation is,

→ x/4 = -12

Let's solve for the value of x,

→ x/4 = -12

→ x = -12 × 4

→ [ x = -48 ]

Hence, the value of x is -48.

Answer:91

Step-by-step explanation:

Take the area of the large square - 10*10 =100

Then subtract the area of the white square - 3*3 = 9

So 100-9 =91 units^2

Answer:

91 \(units^2\)

Step-by-step explanation:

To do this you have to find the area of the total square using A=bh

So, A= (10)(10)

A=100

then find the area of the unshaded square using the same formula

A=(3)(3)

A=9

Then, subtract 100-9=91

So, your answer for the shaded square is 91 \(units^2\)

I hope this helps :) (if it does, brainliest??)

Answer:

x=5 and y=1

Step-by-step explanation:

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

The function f(x) is increasing over the interval [-2, 0) and decreasing over the interval (0, 2].

To determine where the function is increasing or decreasing, we need to find the critical points, which are the values of x where the derivative of the function is zero or undefined.

In this case, the derivative of f(x) is

f'(x) = -0.6x.

Setting this equal to zero, we get

-0.6x = 0,

f x = 0. This is the only critical point.

Next, we can test intervals around the critical point to see where the function is increasing or decreasing.

For x < 0 (to the left of the critical point), f'(x) is negative, which means that f(x) is decreasing. For x > 0 (to the right of the critical point), f'(x) is positive, which means that f(x) is increasing.

Therefore, the function is increasing over the interval [-2, 0) and decreasing over the interval (0, 2].

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The volume of the secret room is 504 cubic yards.

To calculate the volume of the secret room shaped like a rectangular prism, we multiply its length, width, and height together.

The length of the room is given as 8 yards, the width as 7 yards, and the height as 9 yards.

Volume = Length × Width × Height

Volume = 8 yards × 7 yards × 9 yards

Calculating the multiplication:

Volume = 504 cubic yards

Therefore, the volume of the secret room is 504 cubic yards.

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Answers:

=============================================================

Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

-------

DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

-------

BE = 34 for two reasons

--------

We don't use the info that AC = 48.

If you earn $8 per hour and lose $2 for every 15 minutes you're late, being 5 to 10 minutes late four times in a month would result in a total loss of $16.

Given that you earn $8 per hour, we can calculate your earnings based on the number of hours you work. Let's assume you work for a total of 160 hours in a month (considering a typical full-time work schedule). With an hourly rate of $8, your monthly earnings would be $1,280.

Now, let's consider the times you were 5 to 10 minutes late. Each time you're late, you lose $2 for every 15 minutes. Being 5 to 10 minutes late is within the range of 1 to 2 quarters of an hour. Therefore, for each late arrival, you would lose $2.

If you were late four times during the month, the total loss would be $2 x 4, which equals $8. Therefore, being 5 to 10 minutes late four times in a month would result in a total loss of $8 from your monthly earnings of $1,280.

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Answer:

Option C; 3x - y = -27 and x + 2y = 16

Step-by-step explanation:

1. Let us consider the equation 21x - y = 9. In this case it would be best to keep the equation in this form, in order to find the x and y intercept. Let us first find to y - intercept, for the simplicity ⇒ 21 * ( 0 ) - y = 9 ⇒ y = - 9 when x = 0. Now if we take a look at the first plot of line q, we can see that the x value is -9 rather than the y value, so this equation doesn't match that of line q. This would eliminate the first two options being a possibility.

2. Now let us consider the equation 3x - y = -27. Let us consider the x-intercept in this case. That being said, ⇒ 3x - ( 0 ) = -27 ⇒ 3x = -27 ⇒ x = -9 when y = 0. As we can see, this coordinate matches with one of the coordinates of line q, which might mean that the second equation could match with the equation for line v.

3. To see whether Option 3 is applicable, we must take a look at the 2nd equation x + 2y = 16. Let us calculate the y - intercept here: ( 0 ) + 2y = 16 ⇒ 2y = 16 ⇒ y = 8 when x = 0. Here we can see that this coordinate matches with that of the second coordinate provided as one of the points in line v. That means that ~ Answer: Option C

Answer:

180 degrees

Step-by-step explanation:

ABCD is now opposite where it started, so it was rotated 180 degrees

I hope this helps!

Answer:

180 degrees

Step-by-step explanation:

Based on the given information, the mass density of the fluid in the tank is 807 kg/m³.

To calculate the mass density of the fluid in the tank, we can use the concept of hydrostatic pressure. Hydrostatic pressure is the pressure exerted by a fluid at rest and is directly proportional to the depth of the fluid.

In this case, we have two pressure gauges located at different heights in the tank. The first gauge is 7 meters above the bottom and reads 64.94 kPa, while the second gauge is at a height of 4.0 meters and reads 87.53 kPa.

To start, let's determine the difference in pressure between the two gauges. We subtract the pressure reading at the higher gauge from the pressure reading at the lower gauge:

87.53 kPa - 64.94 kPa = 22.59 kPa

This difference in pressure represents the increase in pressure due to the additional height of fluid above the lower gauge.

Next, we need to convert the pressure difference to a height difference. We can use the equation:

Pressure difference = density x gravity x height difference

where density is the mass density of the fluid, gravity is the acceleration due to gravity (approximately 9.8 m/s²), and height difference is the difference in height between the two gauges.

Plugging in the values we have:

22.59 kPa = density x 9.8 m/s² x (7 m - 4 m)

Simplifying the equation:

22.59 kPa = density x 9.8 m/s² x 3 m

To find the mass density, we need to convert kPa to Pa. 1 kPa is equal to 1000 Pa, so:

22.59 kPa = 22590 Pa

Plugging this value back into the equation:

22590 Pa = density x 9.8 m/s² x 3 m

Now, we can solve for density:

density = 22590 Pa / (9.8 m/s² x 3 m)

density = 807 kg/m³

Therefore, the mass density is 807 kg/m³.

Please note that this calculation assumes that the density of the fluid is constant throughout the tank.

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Step-by-step explanation:

slope is the rise over run

rise= X

run= Y

X/Y = slope

Answer:

x = 129

y = 82

Step-by-step explanation:

x + 51 = 180

x = 180 - 51

x = 129

y + 51 + 47 = 180

y = 98 - 180

y = 82

9514 1404 393

Answer:

  x = 129°

  y = 82°

Step-by-step explanation:

x is supplementary to the angle corresponding to 51°, so is supplementary to 51°.

  x = 180° -51° = 129°

__

y is an alternate exterior angle to the unmarked angle between 47° and 51°, hence congruent to that angle. Its measure is ...

  y = 180° -47° -51° = 82°

Answer:

Right triangle

Step-by-step explanation:

becuase it is

Answer:

right triangle

Step-by-step explanation:

The expression for  d=rt in terms of the time is t = d/r; t = 5.

Therefore,

In the equation d=rt

                          t = d/r

when distance is 40 and the rate is 8

                          t = d/r

Replace d with 40 and rate with 8

                          t = 40/8

                          t = 5

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The given equation (4x² - y² - z² = 1) is classified under Hyperboloid of two sheets.

What is Hyperboloid equation?

When a hyperbola is rotated around one of its axes, an open surface is created that is known as a hyperboloid. The surface's general equation is written as (x²/ a²) + (y² / b²) - (z² / c²) = 1

if the surface's transverse axis is along the x axis, its centre is at the origin, and a, b, and c are its primary semi-axes.

As per question given that,

here is the equation of the quadratic surface is,

4x² - y² - z² = 1

Thus surface is a hyperboloid of two sheets.

The sketch of this quadratic surface is the sketch in the 2nd option which is shown below.

i.e. in the upper right corner.

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Answer:150

Step-by-step explanation:We already know that there are other names for the relationship among these angles

Answer:

Step-by-step explanation:

Use Foil method

(2x  + 4)(x -1) = (2x*x)+ (2x *(-1)) + 4*x + 4*(-1)

                    = 2x² - 2x  + 4x - 4   {Combine like terms}

                    = 2x² + 2x - 4

In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.

The IS equation is given by: Y = 1,586.27 - 3,145.45i.

The LM equation is given as: i = 0.04.

To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:

Y = 1,586.27 - 3,145.45 * 0.04.

Calculating the right side of the equation, we have:

Y = 1,586.27 - 125.82,

Y ≈ 1,460.

Therefore, the equilibrium real output, Y, is approximately 1,460.

To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:

C = 217 + 0.51Y.

Substituting Y = 1,460, we have:

C = 217 + 0.51 * 1,460.

Calculating the right side of the equation, we find:

C ≈ 984.

Therefore, the equilibrium value of consumption, C, is approximately 984.

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The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

An equation is a statement that shows the equality between two expressions. It typically contains one or more variables and may involve mathematical operations such as addition, subtraction, multiplication, division, exponentiation, or roots. An equation can be solved by finding the value(s) of the variable(s) that make the equation true. Equations are used extensively in mathematics, science, engineering, and other fields to describe relationships between different quantities and to make predictions or solve problems.

Here,

Since line B is perpendicular to line A, the product of their gradients is -1. Therefore, the gradient of line B is 1/5.

a) To find the y-intercept of line B, we need to know a point on the line. Since we don't have one, we can use the fact that the y-intercept is the point where the line intersects the y-axis. To find this point, we can set x = 0 in the equation of line B:

y = (1/5)x + c

0 = (1/5)(0) + c

c = 0

Therefore, the y-intercept of line B is (0,0).

b) The equation of line B is y = (1/5)x + 0, which can be simplified to y = (1/5)x.

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