What is the quotient of
8.832
×
1
0
6
8.832×10
6
and
9.6
×
1
0
2
9.6×10
2
expressed in scientific notation?

Answer:

a = 1/6

Step-by-step explanation:

-5=a(0-2)(0-3)(0-5)

Simplify

-5=a(-2)(-3)(-5)

-5 = a(-30)

Divide each side by -30

-5/-30 = -30a/-30

1/6 =a

Answer:

1/6

Step-by-step explanation:

When a circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base, a pair of intersecting lines is formed.

How to know what is formed from a line intersecting a cone?

The right circular cone is intersected by a plane that passes through the cone's vertex and is perpendicular to its base.

This means the intersecting line forms a right angle with the base of the right circular cone.

Therefore, from this interaction is a pair of intersecting lines.

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Answer:

20 square units

Step-by-step explanation:

Point D should be D(4, -1) if a rectangle is to be formed.  A picture is attached to this answer.

The rectangle's dimensions are 4 by 5, so it's area is 4 x 5 = 20 square units.  The picture is small enough that you could even just count squares inside the rectangle!

Answer:

f(x)=11x+1

Step-by-step explanation:

Answer: 91

Step-by-step explanation:

Answer: When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:

-x2 + 3x − 8.

To simplify the expression you can start by combining like terms:

-3x^2 - (-2x^2) = -3x^2 + 2x^2 = -x^2

then,

-x^2 + 2x -4 - (-x -4) = -x^2 + 2x -4 + x +4 = -x^2 + 3x

And finally,

-x^2 + 3x − 8.

Step-by-step explanation:

According to the given question we can conclude that the probability that a student who majors in science is a female is approximately 0.375 and the probability that a student is male or majors in art is 0.78.

Probability is the research of probabilities, which also are based on the ratio of favourable events to likely circumstances. One of the areas of probability theory is the estimation of the chance of experiments occurring. With a probability, we can calculate any number of things, from the probability of obtaining a head or a tail when flipping a coin towards the likelihood of generating a research error, for example.

A.) To find the probability that a student who majors in science is a female, we need to use Bayes' theorem. Let F be the event that a randomly selected student is female, and S be the event that the student majors in science. Then we have:

P(F|S) = P(S|F) * P(F) / P(S)

We know that P(F) = 0.6 (since 60% of students are female), and P(S|F) = 0.1 (since 10% of female students major in science). To find P(S), we need to use the law of total probability:

P(S) = P(S|F) * P(F) + P(S|M) * P(M)

We know that P(S|M) = 0.4 (since 40% of male students major in science), and P(M) = 0.4 (since 40% of students are male). Therefore:

P(S) = 0.1 * 0.6 + 0.4 * 0.4 = 0.16

Now we can calculate P(F|S):

P(F|S) = 0.1 * 0.6 / 0.16 ≈ 0.375

Therefore, the probability that a student who majors in science is a female is approximately 0.375.

B.) To find the probability that a student is male or majors in art, we need to use the law of total probability again:

P(Male or Art) = P(Male) + P(Art) - P(Male and Art)

We know that P(Male) = 0.4 (since 40% of students are male), and P(Art|Male) = 0.5 (since 50% of male students major in art). We also know that P(Female) = 0.6 (since 60% of students are female), and P(Art|Female) = 0.7 (since 70% of female students major in art). Therefore:

P(Art) = P(Art|Male) * P(Male) + P(Art|Female) * P(Female)

= 0.5*0.4+0.7*0.6

= 0.58

To find P(Male and Art), we can multiply the probabilities of being male and majoring in art:

P(Male and Art) = P(Male) * P(Art|Male)

= 0.4 * 0.5

= 0.2

Now we can calculate P(Male or Art):

P(Male or Art) = 0.4 + 0.58 - 0.2

= 0.78

Therefore, the probability that a student is male or majors in art is 0.78.

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Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

To find the value of (f o g)' at a given value, you first need to understand the concept of composite functions and the chain rule of differentiation. Let's break it down step by step.

To find the value of (f o g)' at a given value, you need to evaluate g(x) and f(x), find their derivatives, and use the chain rule to find the derivative of (f o g) at the given value. It is important to understand the concepts of composite functions and the chain rule to be able to solve problems involving these concepts.

What are composite functions? Composite functions are functions that are formed by composing two or more functions. The notation used to denote composite functions is (f o g)(x), which means that the output of function g is used as the input for function f. In other words, we first evaluate g(x), and then use the result as the input for f(x).

What is the chain rule of differentiation? The chain rule of differentiation is a method used to find the derivative of composite functions. It states that if a function is composed of two or more functions, then its derivative can be found by taking the derivative of the outer function and multiplying it by the derivative of the inner function.

To find the value of (f o g)' at a given value, we need to follow these steps:1. Find g(x) and f(x)2. Find g'(x) and f'(x)3. Evaluate g(x) at the given value4. Use the chain rule to find (f o g)' at the given value

step 1: Find g(x) and f(x)Let's say that we have two functions: g(x) = x^2 + 3x + 1 and f(x) = sqrt(x). To find (f o g)(x), we first need to evaluate g(x) and then use the result as the input for f(x). Therefore, (f o g)(x) = f(g(x)) = sqrt(x^2 + 3x + 1)

Step 2: Find g'(x) and f'(x)To find g'(x), we need to take the derivative of g(x) using the power rule and the sum rule. Therefore, g'(x) = 2x + 3To find f'(x), we need to take the derivative of f(x) using the power rule and the chain rule. Therefore, f'(x) = 1/2(x)^(-1/2)

Step 3: Evaluate g(x) at the given valueSuppose we want to find (f o g)' at x = 2. To do this, we need to first evaluate g(x) at x = 2. Therefore, g(2) = 2^2 + 3(2) + 1 = 11

Step 4: Use the chain rule to find (f o g)' at the given value now we can use the chain rule to find (f o g)' at x = 2. Therefore, (f o g)'(2) = f'(g(2)) * g'(2) = 1/2(11)^(-1/2) * (2)(3) = 3/sqrt(11)

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In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

In the given question, all the equation are fourth degree polynomial

What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.

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Answer:

x = 5/2

Step-by-step explanation:

(4^3x)/(2^4x) = 32

(2^6x)/(2^4x) = 32

2^2x = 32

2^2x = 2^5

2x = 5

x = 5/2

The area of the composite figure that is composed of triangles and a rectangle is: 154 mm².

The composite figure given comprises two different triangles and one rectangle. Therefore, to find the area of the composite figure, we need to calculate the area of each shape in the figure.

Area of rectangle = length * width = (7 + 7) * 4

= 14 * 4

Area of rectangle = 56 mm²

Area of the larger triangle = 1/2 * base * height

= 1/2 * 14 * 11

= 77 mm²

Area of the smaller triangle = 1/2 * 14 * 3

= 21 mm²

Therefore, area of the composite figure = 56 + 77 + 21

= 154 mm²

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Answer:

1/3

Step-by-step explanation:

Answer: 2/5 (1/3 + 1/2) = 1/3 ≅ 0.3333333

Step-by-step explanation:

Answer: answer is 2,4, and 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2, 3, 4, 5, or B C D E

Answer: To calculate the expected value, we need to multiply each possible outcome by its probability and then add up the results.

The probability of selecting a gold marble is 3/41, the probability of selecting a silver marble is 8/41, and the probability of selecting a black marble is 30/41.

The winnings/losses associated with each outcome are $3 for gold, $2 for silver, and -$1 for black.

Step-by-step explanation:

Therefore, the expected value can be calculated as follows:

(3/41) x $3 + (8/41) x $2 + (30/41) x (-$1)

= $0.073

The expected value is $0.073, which means that on average, you can expect to win $0.073 per game if you play this game many times.

Therefore, if you play this game, you can expect to win a small amount of money on average, but it is not a guaranteed win.

References:

Grinstead, C.M. and Snell, J.L. (2006). Introduction to Probability. American Mathematical Society.

"Expected Value," Investopedia, accessed May 14, 2023, https://www.investopedia.com/terms/e/expectedvalue.asp.

Answer:

SD = 5.987, Var(X) = 35.85

Step-by-step explanation:

Apply the standard deviation formula, remembering that n represents the sample size. Then, just take the square of the standard deviation to obtain the variance.

Hope this helps!

Answer:

a)8/21

b)1/9

Step-by-step explanation:

because when we divide fraction we resprocal the divisor

Answer:

A= 8/21    B= 1/9

Step-by-step explanation:

A= 2x4 7x3

Just multiply straight across:)

B= 5x1 > 9x5 = 1/9

Hope this helps!

The statement that explains how mental math can be used to find how much farther Josh rode than Claire is that to round 11.4 to 11. Round 6.8 to 7. Then subtract 7 from 11 to get 4. Josh rode 4 miles farther than Claire. That is option A.

The use of metal maths is simply the calculation of a given mathematical problem without the use of an aid such as electronic devices.

The number of miles covered by Josh = 11.4 miles

The number of miles covered by Claire = 6.8 miles

To use mental maths, the values are rounded up to the nearest whole number and the difference between the two are gotten.

That is;

11.4 = 11

6.8 = 7

Therefore the difference in the distance between the two individuals = 11-7 = 4 miles.

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Answer:

$40.50

Step-by-step explanation:

Create a proportion using the cost in the numerator and number of tickets in the denominator.

\(\frac{18}{4} =\frac{x}{9}\)

cross multiply

162=4x

divide by 4 on both sides

x=40.5

$40.50

$40.50

Step-by-step explanation:

4×2=8 tickets

18×2= 36 dollars

1/4 of 18 dollars is 4.5

so 36+4.5= $40.50

This could be wrong-

Answer:

its legit 5

Step-by-step explanation:

Answer:

Very tricky question..

4 + 1 is 5 because you have written 4+1 not 4 1

so 5 is correct answer

Step-by-step explanation:

hope it helps

Answer:

A, B, D, E

Step-by-step explanation:

148^0 = 1 (Zero property of exponents)

9^(-2) = 1/9^2 = 1/81

-5^2 = -5*5 = -25

-10^(-2) = -1/10^2 = -1/100

Answer:

Step-by-step explanation:

(-4*5 - 1) + (-4)

(-20 - 1) - 4

-21 - 4

-25

Answer:

8 x 6 = 48, 48 divided by 2 (x 1/2) = 24 , 24 x 2(there are two triangles) = 48

12 x 10 = 120

8 x 12 = 96

12 x 6 = 72

Now let's add all the given areas:

48 + 120 + 96 + 72 = 336 ft^2 is your answer.

The rate of change of the angle is approximately 0.00238 radians per foot when a wire of 186 feet is attached.

The subject matter of the math discipline of trigonometry is the relationships and characteristics of triangles as well as the trigonometric functions.

These functions (such as sine, cosine, and tangent) are used to relate the angles of a triangle to the lengths of its sides.

We can use trigonometry to find the angle θ in terms of x:

sin θ = opposite/hypotenuse = 75/x

θ = arcsin(75/x)

dθ/dx = d/dx (arcsin(75/x))

Using the chain rule and the fact that d/dx (arcsin(u)) = 1/√(1-u²) × du/dx:

dθ/dx = -75/√(x²-5625) × (-1/x²)

Simplifying:

dθ/dx = 75x / (x² - 5625)³/₂

Now we can substitute x = 186 and find the rate of change of the angle:

dθ/dx | x=186 = 75(186) / (186² - 5625)³/₂ ≈ 0.00238 radians per foot

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Answer:

I am here........

nice to meet you

Answer:

0.66 melones por niño o 2/3

Step-by-step explanation:

10/15=2/3=0.66

Angles and lines come in many distinct varieties in geometry.

Geometry has several different kinds of lines and angles. The six different types of angles include reflex angle, complete angle, straight angle, acute angle, and obtuse angle. The various sorts of lines are transverse, parallel, perpendicular, vertical, horizontal, and vertical lines.

There are three ways to name an angle: by the vertex, by the angle's three points (the middle point must be the vertex), or by a letter or number put inside the angle's aperture.

You can create your address block for letters, envelopes, and other mail merges using Label Lines, a collection of fields. Use Label Lines rather of Acknowledgement, Company, and Address lines to skip blank lines in your labels and address blocks.

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Answer: its -28

Step-by-step explanation:

i dont know i used a app

Answer:

The probability that one marble drawn at random is not blue is 70%