Simplify


10 + 9t + 2 + 9t

Answer:

Step-by-step explanation:

If you are saying, Y is more than 9, then use this- Y>9

If you are saying Y more than 9 equals ? then use this- 9+Y=?

Hope i helped you!!

To determine the number of ways Samantha can arrange her mathematics books and computer science books on the shelf, we can use the concept of permutations.

1. First, we'll arrange the 3 mathematics books in the first 3 positions. Since Samantha has 7 mathematics books to choose from, she can arrange them in 7P3 ways:
7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210 ways

2. Next, we'll arrange the 2 computer science books in the last 2 positions. Since Samantha has 5 computer science books to choose from, she can arrange them in 5P2 ways:
5P2 = 5! / (5-2)! = 5! / 3! = 5 x 4 = 20 ways

3. Now, we need to multiply the number of ways to arrange the mathematics books by the number of ways to arrange the computer science books since these are independent events:
Total ways = 210 (mathematics books) x 20 (computer science books) = 4200 ways

So, Samantha can arrange her 7 mathematics books and 5 computer science books in 4200 different ways, with the first 3 positions occupied by math books and the last 2 by computer science books.

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The prime factors of 80 are 2, 2, 2, 2, and 5, then its decomposition is:

80 = 2*2*2*2*5 = 2⁴*5

To do this, we start with our number, which in this case is 80, and we start dividing it by prime numbers.

The first prime number is 2, taking the quotient:

80/2 = 40

So 2 is a factor.

Now we try to divide again by 2:

40/2 = 20

Now we can divide by 2 again:

20/2 = 10

And again:

10/2 = 5

And 5 is another prime number, so now we only can divide by 5:

5/5 = 1

So, we divided by 2 four times and by 5 one time, then the decomposition in prime factors is:

80 = 2*2*2*2*5 = 2⁴*5

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Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Photo please? and a function means that it cant have the same number of x axis'

example,

function;

15  6

-46  37

36  -37

27  -25

not a function;

-1  3

5  7

-5  6

-1  8

Answer:

A,b,c

Step-by-step explanation:

Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

The correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta), where theta is the angle between the two vectors.

The vector product of two vectors a and b is defined as c = a x b = |a| |b| sin(theta) n, where n is the unit vector perpendicular to both a and b in the direction given by the right-hand rule. Since c = a x b, the magnitude of c can be expressed as |c| = |a| |b| sin(theta), where theta is the angle between a and b. Therefore, the correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta).

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Answer:

Step-by-step explanation:

Answer:

6 square units

Step-by-step explanation:

Simply count the number of squares:

There are 4 squares aligned in a vertical column, and one to the right of that column (so up to this point you have 5 full squares). Then notice that you have two half squares in the shape of triangles. So two halves give us another full square. That totals 6 square units.

we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.

To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.

From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.

Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.

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The values they represent for each of the five data types shown are below.

What is hexadecimal numbers?

The base-16 numbering scheme is known as hexadecimal. Consequently, this system uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, and 15. That implies that the two-digit decimal numbers 10, 11, 12, 13, 14, and 15 cannot exist in this numbering system unless they are represented by a single numeral.

For x434F4D50

Unsigned binary - 0000 0100 0011 0100 1111 0100 1101 0101 0000

1's complement - 1111 1011 1100 1011 0000 1011 0010 1010 1111

2's complement 1111 1011 1100 1011 0000 1011 0010 1011 1111

IEEE 754 Floating point - 207.302001953125

ASCII string -COMP

For x55544552

Unsigned integer: 0000 0101 0101 0101 0100 0100 0101 0101 0010

1's complement 1111 1010 1010 1010 1011 1011 1010 1010 1101

2's complement1111 1010 1010 1010 1011 1011 1010 1010 1110

IEEE floating point 1.4587137097728E13

ASCII string: UTER

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Answer:

47,433.0 feet

Step-by-step explanation:

Using the SOH CAH TOA identity

Height of the plane = opposite = 17000feet

distance between the plane and the airport = hypotenuse = x

Angle of depression = 21 degrees

Since Sin theta = opp/hyp

Sin 21 = 17000/x

x = 17000/sin21

x = 17000/0.3584

x = 47,433.0

Hence the distance between the plane and the airport to the nearest 10th of a foot is 47,433.0 feet

Answer:

47437.3

Step-by-step explanation:

Answer:

10X10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 35:15

Step-by-step explanation:

7 times 5 = 35

3 times 5 = 15

35+15 = 50

Answer:

No ;

Step-by-step explanation:

Given ;

s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12

Hypothesis :

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

The test statistic :

Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44

The Pvalue using the Pvalue from Ftest calculator :

Numerator df = 12 - 1 = 11

Denominator df = 10 - 1 = 9

Pvalue = 0.2969

At α = 0.1

If Pvalue > α ; Fail to reject H0

0.2969 > 0.1 ; Hence, we fail to reject the Null

Hence, we cannot conclude that variation exists

3. The scale factor is of: 1 : 360.

The lengths and scale factors are given as follows:

4. Length of 7.5 in and scale factor of 1 : 96.

5. Length of 48 cm and scale factor of 1 : 400

6. Length of 18 in and scale factor of 1 : 9.

The meaning of the scale of a drawing is how much each unit in the drawing represents in actual distance.

The scale factor is the ratio between the ratio of the dimension of the drawn shape by the actual dimension.

Each feet is composed by 12 inches, hence the scale factor for item 3 is given by:

1/(20 x 12) = 1 : 360.

The lengths for items 4, 5 and 6 are given by the division of the actual length by the measure represented by a single unit, hence:

The scale factors are given as follows:

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The property justified by step 4 is after substitution in the equation you get the desired result.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question,

In step 3 substitution of value is taking place.

In step 4 when values are substituted the final result is obtained, so step 4 is the result step.

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Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

Answer:

Yes!

Step-by-step explanation:

There are no repeating y values or x values!!

Answer:

B. the points scored by a basketball player compared to his minutes played

Step-by-step explanation:

Answer:

You would need to score a 93% to have an average of 90.

Step-by-step explanation:

Well, to check my work you would need to find the average.

So, 93 + 92 + 88 + 87 = 360. Then you divide by four; 360 / 4 = 90. ^^

Answer:

3 - 2 - 32 aloo Dal di sorry just right now 86 86 86

Answer:

6

Step-by-step explanation:

18×(3/6) = 918×(1/6) = 318×(2/6) = 6

Answer:

The Answer is 1 over 7 times 7 times 7 times 7 times 7 times 7

Step-by-step explanation:

All you have to do is multiply the exponents.

\(7^{3*(-2)} =7^{-6}\)

and the rule says :

\(x^{-a} = \frac{1}{x^{a} }\)

So that means :

\(7^{-6} =\frac{1}{7^{6} } =\frac{1}{7*7*7*7*7*7}\)

hope it helps ... have a good day

1 over 7 times 7 times 7 times 7 times 7 times 7  is equivalent to (73)−2.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here we have,

(7^3)(−2)

=7^(-6)

=1/7^6

=1/7*7*7*7*7*7

Hence, 1 over 7 times 7 times 7 times 7 times 7 times 7  is equivalent to (73)−2.

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1. The area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.

2.  The area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.

3. The area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.

To find the area under the standard normal curve using the z-table, you need to locate the corresponding z-scores and subtract the areas.

Between z=0 and z=0.68:

From the z-table, the area to the left of z=0 is 0.5000, and the area to the left of z=0.68 is 0.7517.

Therefore, the area between z=0 and z=0.68 is: 0.7517 - 0.5000 = 0.2517.

Between z=-0.46 and z=0:

From the z-table, the area to the left of z=-0.46 is 0.3222, and the area to the left of z=0 is 0.5000.

Therefore, the area between z=-0.46 and z=0 is: 0.5000 - 0.3222 = 0.1778.

Between z=-0.34 and z=0.68:

From the z-table, the area to the left of z=-0.34 is 0.3669, and the area to the left of z=0.68 is 0.7517.

Therefore, the area between z=-0.34 and z=0.68 is: 0.7517 - 0.3669 = 0.3848.

Note: The z-table provides the area to the left of the given z-score. To find the area between two z-scores, you need to subtract the areas corresponding to those z-scores.

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Using the inverse matrix method, the solution to the first system of equations is x₁ = 4 and x₂ = -2. The solution to the second system of equations is x₁ = -4 and x₂ = 2.

To solve the systems of equations using the inverse matrix method, we start by representing the systems in matrix form: AX = B, where A is the coefficient matrix, X is the column vector of variables, and B is the column vector of constants.

For the first system:

A = [[1, -2], [2, 4]]

X = [[x₁], [x₂]]

B = [[4], [0]]

To find X, we need to calculate the inverse of A, denoted as A^(-1), and then multiply it with B: X = A^(-1) * B.

Calculating the inverse of A:

A^(-1) = [[4, 1], [-1, 0.5]]

Multiplying A^(-1) with B:

X = [[4, 1], [-1, 0.5]] * [[4], [0]]

  = [[4*4 + 1*0], [-1*4 + 0.5*0]]

  = [[16], [-4]]

Thus, the solution to the first system of equations is x₁ = 4 and x₂ = -2.

For the second system:

A = [[-1, -2], [2, 4]]

X = [[x₁], [x₂]]

B = [[4], [0]]

Calculating the inverse of A:

A^(-1) = [[-2, 0.5], [1, -0.5]]

Multiplying A^(-1) with B:

X = [[-2, 0.5], [1, -0.5]] * [[4], [0]]

  = [[-2*4 + 0.5*0], [1*4 - 0.5*0]]

  = [[-8], [4]]

Thus, the solution to the second system of equations is x₁ = -4 and x₂ = 2.

In summary, using the inverse matrix method, the solution to the first system is x₁ = 4 and x₂ = -2, and the solution to the second system is x₁ = -4 and x₂ = 2.

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The coordinate of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) is (-1,0).

The formula for calculating the coordinate of the centre of the circle inscribed in a triangle whose vertices are \((x1,y1), (x2,y2), (x3,y3)\):

(x,y) = \((\frac{ax1+bx2+cx3}{a+b+c} , \frac{ay1+by2+cy3}{a+b+c})\)

where,

a is the side of triangle opposite vertex (x1, y1)

b is the side of triangle opposite vertex (x2, y2)

c is the side of triangle opposite vertex (x3, y3)

Given vertices of triangle as (−36,7), (20,7) and (0,−8),

By distance formula,

a = \(\sqrt{(20-0)^2+(7+8)^2}\) = 25

b= \(\sqrt{(-36-0)^2+(7+8)^2}\) = 39

c = \(\sqrt{(20+36)^2+(7-7)^2}\) = 56

The coordinates of triangle become:

x = \(\frac{25*-36 + 39*20 +0*56}{25+39+56}\) = -1

y = \(\frac{7*25+39*7-8*56}{25+39+56}\) = 0

(x,y) = (-1,0)

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The complete question is given below:

Find the coordinates of the centre of the circle inscribed in a triangle whose vertices are (−36,7), (20,7) and (0,−8) ?

Answer:

9

Step-by-step explanation:

(9*1) + (9*4) = 9*(1+4)

Answer:

15.9

Step-by-step explanation:

because the x side it's the same as 15 but it's slanted a little bit out so there is a bit more to 15

Answer:

A

Step-by-step explanation: