For every left handed person, rhere are about 4 right handed people. If there are 30 students in a class, predoct the number of students who are right handed

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

277

Step-by-step explanation:

PEMDAS

E: 3^3 (3x3x3) = 27

M: 27x10 = 270

A: 270+7 = 277

He bring $12 to the movie.

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. It involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression. All the branches of mathematics such as trigonometry, calculus, coordinate geometry, involve the use of algebra. One simple example of an expression in algebra is 2x + 4 = 8.

Given:

let the total money be x

1/2 of the money on the ticket

=1/2 x

1/3 of the money on snacks

=1/3 x

total he spent= $10

1/2 x + 1/3 x = $10

5/6 x= 10

x= 10* 6/5

x = 12

Hence. he bring $12 to the movie.

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The marginal PMFs Px(x) and Py(y) are:

Px(0) = 0.4, Px(1) = 0.4, Px(2) = 0.2

Py(0) = 0.25, Py(1) = 0.45, Py(2) = 0.3

The marginal PMFs Px(x) and Py(y) can be obtained by summing up the joint PMF over the respective variable.

Let X and Y be two discrete random variables with joint PMF P(x,y). Then, the marginal PMF of X, denoted as Px(x), is given by:

Px(x) = ∑y P(x,y) for all possible values of y.

Similarly, the marginal PMF of Y, denoted as Py(y), is given by:

Py(y) = ∑x P(x,y) for all possible values of x.

Using the joint PMF given in Problem 5.2.2, we can calculate the marginal PMFs as follows:

Px(0) = P(0,0) + P(0,1) + P(0,2) = 0.1 + 0.2 + 0.1 = 0.4

Px(1) = P(1,0) + P(1,1) + P(1,2) = 0.1 + 0.2 + 0.1 = 0.4

Px(2) = P(2,0) + P(2,1) + P(2,2) = 0.05 + 0.05 + 0.1 = 0.2

Py(0) = P(0,0) + P(1,0) + P(2,0) = 0.1 + 0.1 + 0.05 = 0.25

Py(1) = P(0,1) + P(1,1) + P(2,1) = 0.2 + 0.2 + 0.05 = 0.45

Py(2) = P(0,2) + P(1,2) + P(2,2) = 0.1 + 0.1 + 0.1 = 0.3

Therefore, the marginal PMFs Px(x) and Py(y) are:

Px(0) = 0.4, Px(1) = 0.4, Px(2) = 0.2

Py(0) = 0.25, Py(1) = 0.45, Py(2) = 0.3

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The expression of the composite function is (d) 192 - 24t

From the question, we have the following parameters that can be used in our computation:

B(t) = 2(8 - t)

M(n) = 12n

To calculate the required function, we make use of

M(B(t))

Substitute the known values in the above equation, so, we have the following representation

M(t) = 12 * 2(8 - t)

So, we have

B(t) = 192 - 24t

Hence, the expression is (d) 192 - 24t

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The three angles in the given diagram that are equal to ∠N are; ∠KON ; ∠ION ; ∠IAN

We are given the following about the given triangle;

In triangle NOK, KO = KN

Since KO = KN, it means that triangle NOK is an Isosceles triangle. Thus;

∠KON = ∠N

Since I is the point on KN such that; OI = ON

Thus, this means that triangle OIN is an Isosceles triangle. Thus;

∠ION = ∠N

Since IA = IN

Thus, this means that triangle IAN is an Isosceles triangle. Thus;

∠IAN = ∠N

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An equation that shows the relationship between the two angle measure is 3x + 2 = 180 and the value of x is 59.

Let us consider the two supplementary angles with measures (x + 1) and (2x + 1). Since they are supplementary angles, we know that their sum is equal to 180 degrees. We can write this relationship between the two angle measures as an equation:

(x + 1) + (2x + 1) = 180

Simplifying this equation, we get:

3x + 2 = 180

Now, we can solve for x by isolating it on one side of the equation. To do this, we can subtract 2 from both sides of the equation:

3x = 178

Finally, we can solve for x by dividing both sides of the equation by 3:

x = 59.33

Therefore, we should round the value of x to the nearest whole number, which is 59.

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Answer:

180-(35+28)->180-63=117 and 180-117=63 then 63+36=99 and 180-99=81 so x=99°

The investment will be worth approximately $4,667.27 after 30 years of compounding at a rate of 6.5% per annum, compounded weekly.

Assuming that the investment compounds weekly for 30 years, the formula to calculate the future value of the investment would be:

FV = \(PV * (1 + r/n)^{(n*t)}\)

where:

PV = present value (initial investment) = $1,000

r = annual interest rate = 6.5%

n = number of times the interest is compounded per year = 52 (weekly)

t = number of years the money is invested = 30

Plugging in these values, we get:

FV = \(\$1,000 * (1 + 0.065/52)^{(52*30)}\)

FV = \(\$1,000 * (1 + 0.00125)^{1560}\)

FV = \(\$1,000 * 2.693\)

FV = $2,693.29

Therefore, the investment will be worth $2,693.29 when Mike turns 30.

The formula for compound interest is a mathematical formula that calculates the final value of an investment based on the initial investment amount, the interest rate, and the number of compounding periods per year. It takes into account the effect of compounding on the investment, which means that the interest earned is added back to the principal amount, so that the investment grows at an accelerating rate over time.

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If we project the EPS of Apple forward 10 years to 2025, using a 42% rate of growth, we would get projected EPS of $307.34 for 2025.

So in 2025, Apple will have per share earnings of $307.34.

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

Answer:

s = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

-8s + 4 = -7s + 21

Step 2: Solve for s

The graph representing a proportional relationship ALWAYS goes through the origin (0, 0).

Recall:

In the proportional relationship graph, the line goes through the origin (0, 0) as shown in the image attached below.

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The number of green and blue marbles is 54 and 198 respectively.

Ratio:

In Mathematics, the ratio contrasts two quantities by the method of division. In simple words, we can say that the simplified form of two quantities of the same units is mentioned as a ratio.

A ratio gives a relation that how many times one quantity is equal to the other quantity.  The symbol ':' denotes the ratio and the ratio will be expressed as a:b  

Here we have,

The ratio of green marbles to blue marbles is 3:11

Number of Marbles = 252  

Since the ratio of green to blue marbles is 3:11, Let 3x and 11x be the number of green and blue marbles respectively.

As we know the total number of marbles is 252

=> 3x + 11x = 252

=> 14x = 252

=> x = 252/14 = 18

=> Number of green marbles, 3x = 3(18) = 54

=> Number of blue marbles, 11x = 11(18) = 198

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The constant of proportionality for the work done when lifting an object is given as follows:

k = 14.78.

A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other. This means that if one quantity is multiplied by a certain factor, the other quantity will also be multiplied by the same factor.

The equation that defines the proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.

The work, W (in joules), done when lifting an object is jointly proportional to the product of the mass, m (in kilograms), of the object and the height, h (in meters), that the object is lifted, hence the equation is given as follows:

W = khm.

The work done when a 100-kilogram object is lifted 1.5 meters above the ground is 2116.8 joules, the the constant is given as follows:

150k = 2216.8

k = 2216.8/150

k = 14.78.

The problem asks for the constant of the proportional relationship.

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Answer:

\(h=\frac{1}{3} \pi r^{2} v\)

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

As per the given volume of the cone,

V=(1/3)πR²H

Manipulate the above formula as,

[V (3/1)]/(πR²) = H

H = 3V/(πR²)

Hence "The expression of the volume of the cone in terms of height H will be as H = 3V/(πR²)".

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a) IgG is an antibody found in blood and tissue fluids that can be treated with DTT to break disulfide bonds and separate its heavy and light chains.

b) IgG samples treated with DTT will appear as two distinct bands on a gel, while those not treated with DTT will appear as a single band representing the intact IgG molecule.

a) IgG is a type of antibody, also known as immunoglobulin G, that is found in blood and tissue fluids. IgG plays a crucial role in the immune system, as it helps to recognize and neutralize foreign substances such as bacteria and viruses.

DTT (dithiothreitol) is a reducing agent that can break disulfide bonds in proteins. IgG contains disulfide bonds between its heavy and light chains, which help to stabilize the protein structure. When DTT is added to a sample of IgG, it can break these disulfide bonds, resulting in the separation of the heavy and light chains of IgG.

b) The two different IgG samples will have different migration patterns on the gel due to their different molecular weights. The heavy chain of IgG is typically larger than the light chain, so the band representing the heavy chain will appear higher up on the gel than the band representing the light chain. If the IgG sample has been treated with DTT, the heavy and light chains will be separated, and their individual bands will appear at their respective molecular weights.

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The given question is incomplete, the complete question is :

a) What is IgG and why might it look different with and without DTT?

b) How do you predict the two different IgG samples will look on the gel?

Answer:

111111 it is 50 $

Step-by-step explanation:

Answer:

the answer is    8

Step-by-step explanation:

6, this is because FG + GH = FH, so 8+ GH=14, and 14-8=6

Step-by-step explanation:

it all starts with having a good definition for a

a = 3x + 6

for the definition of b we need to transform the second equation

x = 1/3 b - 2 = b/3 - 2

3x = b - 6

3x + 6 = b

remember, if a = c and b = c, then it must be a = b.

that is the whole principle here. the symmetric property.

I am not sure what you must do here. so you select on the left the number of the step in the proof ?

if so, then

statement reason : number 1

a = 3x + 6 and 3x = b - 6 division : number 2

a = 3x + 6 and -b = -3x - 6 subtraction : number 3

a = 3x + 6 and b = 3x + 6 division : number 4

a = b = 3x + 6 symmetric : number 5

always remember, every change needed on one side of an equation we need to do on both sides, otherwise the equation is destroyed.

number 2 is "division" as division is a form of multiplication (and multiplication a form of division). we are multiplying by 3.

number 3 subtracts b and also 3x.

number 4 divides by -1.

and number 5 is the fished proof as mentioned above.

Answer:

Jumping up 10 steps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well the monthly rent, as an equation, would be:

\(y=1.8x\)

Where x is the square footage of the apartment. Thus, substituting in 984 for x:

\(y = 1.8 * 984 = 1771.2\)

Thus, the monthly rent will be $1771.20

Hope this helps!

The volume of the solid generated when r is revolved about the x-axis is 0.72684.

To find the volume of the solid generated when the region bounded by the curves is revolved about the x-axis, we can use the method of cylindrical shells.

First, let's plot the given curves:

The curve y = cos(15x) oscillates between -1 and 1, with one complete period occurring between x = 0 and x = 2π/15.

The x-axis intersects the curve at y = 0 when cos(15x) = 0. Solving this equation, we find that the x-values where y = 0 are x = π/30, 3π/30, 5π/30, ..., and 29π/30.

The region r is bounded by the curve y = cos(15x), the x-axis, and the vertical lines x = 0 and x = 3.

Now, let's consider an infinitesimally small strip at x with width dx. The length of this strip will be the difference between the upper and lower boundaries of the region r at x, which is cos(15x) - 0 = cos(15x).

When we revolve this strip about the x-axis, it will generate a cylindrical shell with the radius equal to x and height equal to cos(15x). The volume of this cylindrical shell can be calculated as 2πx * cos(15x) * dx.

To find the total volume, we integrate the expression for the volume of each cylindrical shell over the range of x = 0 to x = 3:

V = ∫[0, 3] 2πx * cos(15x) dx

To evaluate the integral ∫[0, 3] 2πx * cos(15x) dx, we can use integration techniques or a computer algebra system. Here are the steps using integration by parts:

Let's express the integral as ∫[0, 3] u dv, where u = 2πx and dv = cos(15x) dx.

Using the integration by parts formula,

∫ u dv = uv - ∫ v du, we have:

∫[0, 3] 2πx * cos(15x) dx = [2πx * ∫ cos(15x) dx] - ∫[0, 3] (∫ cos(15x) dx) d(2πx)

First, let's evaluate ∫ cos(15x) dx.

Since the derivative of sin(ax) is a * cos(ax), we can use the chain rule to integrate cos(15x):

∫ cos(15x) dx = (1/15) * sin(15x) + C

Now, let's substitute this value back into the previous expression:

[2πx * ∫ cos(15x) dx] - ∫[0, 3] (∫ cos(15x) dx) d(2πx)

= [2πx * (1/15) * sin(15x)] - ∫[0, 3] [(1/15) * sin(15x)] d(2πx)

Next, let's evaluate the integral ∫[(1/15) * sin(15x)] d(2πx).

Since the derivative of cos(ax) is -a * sin(ax), we can use the chain rule to integrate sin(15x):

∫[(1/15) * sin(15x)] d(2πx) = (-1/30π) * cos(15x) + C

Now, let's substitute this value back into the previous expression:

[2πx * (1/15) * sin(15x)] - ∫[0, 3] [(1/15) * sin(15x)] d(2πx)

= [2πx * (1/15) * sin(15x)] - [(-1/30π) * cos(15x)] evaluated from x = 0 to x = 3

Substituting the limits of integration, we have:

= [2π(3) * (1/15) * sin(15(3))] - [(-1/30π) * cos(15(3))] - [2π(0) * (1/15) * sin(15(0))] + [(-1/30π) * cos(15(0))]

Simplifying further:

= [2π/5 * sin(45)] - [(-1/30π) * cos(45)] - [0] + [(-1/30π) * cos(0)]

= [2π/5 * sin(45)] - [(-1/30π) * cos(45)] + [1/30π]

To evaluate the sine and cosine of 45 degrees, we can use the fact that these values are equal in magnitude and opposite in sign:

sin(45) = cos(45) = √2/2

Substituting these values into the expression:

[2π/5 * (√2/2)] - [(-1/30π) * (√2/2)] + [1/30π]

Simplifying further:

(2π√2)/10 + (√2)/(60π) + (1/30π)

To get the numerical result, we can substitute the value of π as approximately 3.14159:

(2 * 3.14159 * √2)/10 + (√2)/(60 * 3.14159) + (1/(30 * 3.14159))

Evaluating this expression using a calculator, we get:

0.70712 + 0.00911 + 0.01061

Adding these values, the final numerical result of the integral is approximately: 0.72684.

Therefore, the volume of the solid generated when r is revolved about the x-axis is 0.72684.

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Answer:

I am not so sure about this one.

Step-by-step explanation:

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Answer:

9,000

Step-by-step explanation:

Answer:

this is an example of your question

I hope it helps

Answer:

52 hours

Step-by-step explanation:

figure it out genius

An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Online store ships packages at a rate of 15 orders every 5 hours.

We need to determine how many hours it will take to ship 156 orders.

The rate can be expressed as 15 orders per 5 hours or 15/5.

To figure this out,

Set up a proportion.

If the online store ships 15 orders every 5 hours,

Then the rate is 15 orders per 5 hours, or 15/5.

Now, let's set up the proportion:

15/5 = 156/x

To solve for x, cross multiply:

15x = 5(156)

Now, divide both sides of the equation by 15 to isolate x:

x =780/15

Calculating that out, x is equal to 52.

Hence, it will take approximately 52 hours to ship 156 orders at the given rate.

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There's a theorem for this scenario that says the average of the measures of arcs AC and BD is equal to the measure of the angle formed by the chords AB and CD. In particular,

90° = 1/2 (arc AC + arc BD)

90° = 1/2 (arc AC + 126°)

90° = 1/2 arc AC + 63°

1/2 arc AC = 27

arc AC = 54°

The mean score of 90, and percentile of Bob's score of 80, gives Bob's exam score as approximately 92.5%

The Z-Score of the 80th percentile is 0.8416

The formula for Z-Score is presented as follows;

\(z = \frac{x - \mu}{ \sigma} \)

Where;

\( \sigma = The \: standard \: deviation\)

\( \mu = The \: mean = 90\%\)

x = The given score

Taking the mean as a proportion, we have;

\( \sigma = \sqrt{\frac{\mu \cdot (1-\mu)}{n}}\)

Which gives;

\( \sigma = \sqrt{\frac{0.9 \times (1-0.9)}{100}}= 0.03\)

Therefore, when z = 0.8416, gives;

\(0.8416 = \frac{x - 0.9}{ 0.03} \)

x = 0.8416 × 0.03 + 0.9 ≈ 0.925

Therefore;

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