I need help I'm stuck 3 ​

Answer:

B (-3)

Step-by-step explanation:

Good Luck!

The real square roots of 1/100 are ±1/10. To find them, take the square root of both sides of the equation x^2 = 1/100, simplify, and consider the positive values.

To find the real square roots of 1/100, we need to find the values of x that satisfy the equation x^2 = 1/100.

1. Take the square root of both sides of the equation:
√(x^2) = √(1/100)

2. Simplify:
|x| = 1/10

3. Since the square root of a number is always positive, we can conclude that the real square roots of 1/100 are ±1/10.

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The answer is option a i.e. A.

Hi! I'm happy to help with your question involving points, closest, and the xz-plane.

To determine which point is closest to the yz-plane, we need to look at the x-coordinate of each point. The yz-plane is where x = 0, so the point with the smallest absolute value of the x-coordinate is closest. Comparing the x-coordinates:
A(-4, 0, -4) -> |-4| = 4
B(3, 4, -3) -> |3| = 3
C(2, 3, 7) -> |2| = 2

C has the smallest absolute value of the x-coordinate, so it is closest to the yz-plane. Therefore, the answer is c. C.

To determine which point lies in the xz-plane, we need to look at the y-coordinate of each point. A point lies in the xz-plane when its y-coordinate is 0. Checking the y-coordinates:
A(-4, 0, -4) -> y = 0
B(3, 4, -3) -> y ≠ 0
C(2, 3, 7) -> y ≠ 0

Only point A has a y-coordinate of 0, so it lies in the xz-plane. Therefore, the answer is a. A.

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The radius of the cone is 2cm( nearest centimeter).

A cone is a shape formed by using a set of line segments. A cone consist of a circular base and Apex.

The volume of a cone is expressed as;

V = 1/3πr²h

where r is the radius and h is the height of the cone.

volume = 8πcm³

height = 4cm

The radius is calculated as;

8π = 1/3 × π × r² × h

24π = πr²h

24 = 4r²

divide both sides by 4

r² = 24/4

r² = 6

r = √6

r = 2 cm ( nearest centimeters)

therefore the radius of the cone in nearest centimeters is 2cm

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Answer: 9

Step-by-step explanation:

I am assuming that the grid units equal 1 inch.

We have to solve for x. For the width,

60 = 20/3 x

To divide by a fraction is to multiply by its reciprocal.

x = 60 * 3/20 = 180/20 = 9

When a coal fired Power Plant, in rural countryside, is emitting SO₂ at the rate of 1500gm/s, from an effective stack height of 120 m, the estimated ground level concentration of SO₂ at the specified location is 26.39 µg/\(m^3\), rounded to two decimal places.

Industrial Source Complex (ISC) model will be used to estimate the ground level concentration of SO₂

Given parameters for the calculation:

Emission rate of SO₂ = 1500 gm/s

Effective stack height = 120 m

Distance downwind = 1.5 km

Distance perpendicular to wind direction = 100 m

Wind speed at 10 m = 4 m/s

Sampling time = 10 minutes

Atmospheric stability = Neutral

The first step is to calculate the effective stack height, and it is given as

He = H + 0.67ΔH

where H is the physical stack height and ΔH is the vertical dispersion height.

Vertical dispersion height is given as

\(\Delta H = 0.4H (1 + 0.0001UH)^(2/3)\)

where U is the wind speed at the stack height (120 m), and H is the physical stack height.

Plugin the given values

U = (4 + 0.04 × 120) m/s = 8.8 m/s

ΔH = 0.4 × 120 (1 + 0.0001 × 8.8 × 120\()^(2/3)\) = 92.6 m

He = 120 + 0.67 × 92.6 = 181.96 m

The next thing is to calculate the Pasquill-Gifford (P-G) stability class

Using the ISC model with stability class C, we can estimate the ground level concentration of SO₂ using the following formula

C = (E × Q × F × G) / (2πUσyσz)

where

C is the ground level concentration of SO₂ in µg/\(m^3\), E is the emission rate in g/s,

Q is the effective stack height in m,

F is the downwash factor,

G is the Gaussian dispersion coefficient,

U is the wind speed in m/s, and

σy and σz are the lateral and vertical dispersion coefficients in m, respectively.

Downwash factor F = 0.95

Gaussian dispersion coefficient G = 0.25

The lateral and vertical dispersion coefficients can be estimated as

\(\sigma y = 0.09 * x^(2/3) + 0.67 * x / (H + 0.67\Delta H)\\\sigma z = 0.16 * x^(2/3) + 0.67 * x / (H + 0.67\Delta H)\)

where x is the distance downwind from the source in km.

Plug in the given values

x = 1.5 km

\(\sigma y = 0.09 * (1.5)^(2/3) + 0.67 * 1.5 / (120 + 0.67 * 92.6) = 0.06 m\\\sigma z = 0.16 * (1.5)^(2/3) + 0.67 * 1.5 / (120 + 0.67 * 92.6) = 0.12 m\)

Substitute the calculated values in the formula for C

\(C = (1500 * 181.96 * 0.95 * 0.25) / (2\pi * 4 * 0.06 * 0.12) = 26.39 \mu g/m^3\)

Thus, the estimated ground level concentration of SO₂ at the specified location is 26.39 µg/\(m^3\), rounded to two decimal places.

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Answer:

hi

Step-by-step explanation:

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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Note that   the square roots of 16i in rectangular form are

2 + 2 i, -2 - 2i, 2 - 2i,  - 2 + 2i.

The rectangular form  is based on its name - the Cartesian coordinate system.

That is, they are complex numbers of the form z = a + bi, where is the real part and represents the imaginary part.

To find the square roots of 16i, we can use the polar form of a complex number.

First, we need to find the magnitude and argument of 16i  

|16i| = √(0² + 16²) = 16

arg(16i) = π /2

So, 16i can be written as 16(cos(π /2) + i sin(π /2)) in polar form.

Now, to find the square roots of 16i, we can use the formula

z1/2 = √(r)(cos(θ/ 2) + i sin(θ /2))

where r is the magnitude of the complex number and theta is its argument.

So, the square roots of 16i are  

z1/2 = +/- √(16)(cos(π /4 + 2nπ) + i sin( π/4 + 2n π))

= +/- 4(cos(π /4 + 2n π) + i sin( π/4 + 2n π)), where n is an integer

Simplifying further, we get

z1/2 = +/- (2 + 2i) and +/- (-2 - 2i)

Hence,  the square roots of 16i in rectangular form are

2 + 2i,  -2 - 2i, 2 - 2i, -  2 + 2i.

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If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

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Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

If 15 postage stamps cost $8.25 then 12 stamps will cost $6.6 if all the stamps cost the same amount.

To calculate the cost of 12 stamps we first calculate the cost of one postage stamp by division.

Since 15 stamps cost $8.25 we can calculate the cost of one stamp by dividing the cost of 15 stamps by 15

cost of one stamp = $8.25 ÷ 15

cost of one stamp = $0.55

Since the cost of one stamp is calculated to be $0.55, we can calculate the cost of 12 stamps by multiplication as follows;

cost of 12 stamps = cost of one stamp × 12

cost of 12 stamps = 0.55 × 12

cost of 12 stamps = $6.6

Although a part of your question is incorrect, you might be referring to this question:

Kwai bought 15 postage stamps for $8.25. All stamps cost the same amount. How much will 12 stamps cost?

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Answer:

Step-by-step explanation:

Brainliest if these helped please! :)

Answer:

14.4 solved by doing 24(3/5)

Step-by-step explanation:

a ratio can be seen as division

3:5 = 3/5

Answer:

14.4

Step-by-step explanation:

As mentioned in the comments (24/5)*3 =

4.8 * 3 = 12 + 2.4 = 14.4

Another way:

24/5 = x/3

72 = 5x

x = 14 2/5 = 14.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Please read below

Step-by-step explanation:

We are told that 1/2 of the orange juice is concentrate

So 50% is concentrate

100 - 50 = 50

This leaves another 50% to be water
50:50 is the same as 1:1

Answer:

x=2

Step-by-step explanation:

7-5=x

7-5=2

Answer:

Solution

or, X= 7-5

or, X=2

Your answer is 2.

I think it will help you.

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

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Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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The value of the functions 2f + 4g is {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)} and the value of 2g/h is (1,2.5)

In particular, a function maps each element of a set (called the domain) to a unique element of another set (called the range). In this context, we'll look at two functions, f and g, and explore how we can perform arithmetic operations with them.

We can think of these pairs as points on a Cartesian plane, where the x-coordinate represents the input and the y-coordinate represents the output.

Now, let's move on to the arithmetic operations with functions. The first operation we're asked to perform is 2f + 4g. To do this, we need to apply the following steps:

Multiply each ordered pair in f by 2, and multiply each ordered pair in g by 4. This means that the inputs stay the same, but the outputs are multiplied by their respective constants.

Simplify the resulting set by removing any duplicate ordered pairs.

Let's work through this process step by step for our given functions:

Multiplying f by 2 gives us: {(-2,4), (0,6), (2,10), (-2,6)}

Multiplying g by 4 gives us: {(-8,4), (0,12), (4,20), (-4,12), (12,0)}

Taking the union of these sets gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

Simplifying this set by removing duplicates gives us: {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}

So, 2f + 4g is the function represented by the set {(-2,4), (0,6), (2,10), (-2,6), (-8,4), (4,20), (-4,12), (12,0)}.

For the ordered pair (1,5) in g, the corresponding ordered pair in h is (5,4). So, we can compute 2g(1)/h(5) as follows:

2g(1) = 2 * 5 = 10

h(5) = 4

2g(1)/h(5) = 10/4 = 2.5

Therefore, the ordered pair (1,2.5) is in the result set.

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The conclusion based on this data is that C. The hypothesis was not supported; the data indicated that too much fertilizer can inhibit plant growth.

It should be noted that from the information, the change in plant height for each group over a two-week period was averaged and recorded.

It should be noted that as more fertilizer was added, the height of the plant reduced. This shouldn't be so.

Therefore, the conclusion based on this data is that the hypothesis was not supported; the data indicated that too much fertilizer can inhibit plant growth.

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Answer: C

Step-by-step explanation: Edge 2022

Answer: 240ft

Step-by-step explanation:

Width:

10(15) + 10

= 150 + 10

= 160

Length:

4(15) + 20

= 60 + 20

= 80

L x W

= 160 + 80

= 240

Answer:

First question :

a = 2

Second question :

a = 5

b = \(\frac{-a+5}{0}\)

Answer:

12 cups

If the size of the bag decreased by 20%, so will the number of cups held.

Number of cups held before the change = 15 cups

If the number of cups held after the 20% reduction in the size of the bag

= (100 - 20)% × 15

=80% × 15

= 12 cups

The new bags will hold 12 cups.

Step-by-step explanation:

Your answer should be 12 feet, we do 4 * 15 which is 60, then divide by 5 which means 12 is your answer, or A.

Using the diagram of a regular hexagon, we get answers 6, 60, 30-60-90, equilateral triangle, 6 cm, 12 cm, 6 √3 and so  on.

1) There are 6 equilateral triangles in a regular hexagon.
2) Each angle in an equilateral triangle is 60 degrees.
3) Cutting an equilateral triangle down the middle creates a 30-60-90 right triangle.
4) Segment a is called the altitude or height of the equilateral triangle.
5) The short side of a 30-60-90 triangle is half the length of the hypotenuse, so it is 6 cm.
6) The hypotenuse of a 30-60-90 triangle is twice the length of the short side, so it is 12 cm.
7) Using the properties of a 30-60-90 triangle, the long leg is sqrt(3) times the length of the short side, so it is 6sqrt(3) cm.
8) The height of one of the equilateral triangles is the same as the long leg of the 30-60-90 triangle, so it is 6sqrt(3) cm.
9) The formula for the area of a triangle is (base x height)/2. Since the base and height of an equilateral triangle are the same, we can use the formula (side x height)/2. The side length is 12 cm and the height is 6sqrt(3) cm, so the area of one equilateral triangle is (12 x 6sqrt(3))/2 = 36sqrt(3) cm^2.
10) To find the area of the complete hexagon, we multiply the area of one equilateral triangle by the number of triangles, so the area of the hexagon is 6 x 36sqrt(3) = 216sqrt(3) cm^2.

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Answer: D

Step-by-step explanation: The bigger the negative number, the smaller it is! Hope this helps :)

Answer:

0.986

Step-by-step explanation:

You have to subtract  3.256 -  2.27 and get 0.986. Hope this is right and helps!

Answer: 18 dollars. edit: 18 dollars 3 plus the 15.

Step-by-step explanation:

Multiply the cost 15 by the percentage you want to tip in this example: 15 times .20

Answer: h(35) = 43

Step-by-step explanation: The question is asking you to solve the equation if t = 35:

h(t) = 50 - t/5

h(35) = 50 - 35/5 <— I substituted 35 in for t.

h(35) = 50 - 7

h(35) = 43

Answer:

The answer is 43

Step-by-step explanation:

\(h(t) = 50 - \frac{t}{5}\)

\(h(35) = 50 - \frac{35}{5}\)

\(h(35) = 50 - 7\)

\(h(35)=43\)