34. The temperature increased 2º per hour for six hours. How many degrees did the temperature raise after six hours? Number Expression: Sentence Answer:​

The exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

Step-by-step explanation:

We know that the range of the arcsine function is from -π/2 to π/2.

Now, let's evaluate sin(9π/4). Since one full rotation is equal to 2π radians, we can subtract 2π radians from 9π/4 until we get an angle between 0 and 2π.

9π/4 - 2π = π/4

So, sin(9π/4) is equal to sin(π/4).

Now, we know that sin(π/4) = 1/√2.

Therefore, we can evaluate the given expression as:

arcsin[sin(9π/4)] = arcsin[sin(π/4)]

= arcsin[1/√2]

The arcsine of 1/√2 is equal to π/4 or 45°, since the sine is positive in the first and second quadrants.

Hence, the exact value of the expression arcsin[sin(9π/4)] is π/4 or 45°.

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Answer: 720

Step-by-step explanation:

This is permutations.

To find all of the possible choices, you will have the number of seats with the mathematical exclamation mark after that number.

5 + you = 6 people

6! = 720

You and your 5 friends can sit in your seats 720 different ways.

a. The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit is approximately 20%.

c. The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized is approximately 0.28%.

a. To calculate the regular rate of markup on cost, we need to find the difference between the selling price and the cost, and then calculate the percentage markup based on the cost.

Let's denote the cost as C.

Selling price = Cost + Markup

$1,690 = C + (26% of C)

To find the cost:

$1,690 = C + 0.26C

$1,690 = 1.26C

C = $1,690 / 1.26

C ≈ $1,341.27

Markup on cost = Selling price - Cost

Markup on cost = $1,690 - $1,341.27

Markup on cost ≈ $348.73

Rate of markup on cost = (Markup on cost / Cost) * 100

Rate of markup on cost = ($348.73 / $1,341.27) * 100

Rate of markup on cost ≈ 26%

The regular rate of markup on cost is approximately 26%.

b. The rate of markdown on the demonstrator unit can be calculated by finding the difference between the original selling price and the clearance price, and then calculating the percentage markdown based on the original selling price.

Original selling price = $1,690

Clearance price = $1,345

Markdown = Original selling price - Clearance price

Markdown = $1,690 - $1,345

Markdown = $345

Rate of markdown on the demonstrator unit = (Markdown / Original selling price) * 100

Rate of markdown on the demonstrator unit = ($345 / $1,690) * 100

Rate of markdown on the demonstrator unit ≈ 20%

The rate of markdown on the demonstrator unit is approximately 20%.

c. Operating profit or loss on the demonstrator unit can be calculated by finding the difference between the clearance price and the cost.

Cost = $1,341.27

Clearance price = $1,345

Operating profit or loss = Clearance price - Cost

Operating profit or loss = $1,345 - $1,341.27

Operating profit or loss ≈ $3.73

The operating profit on the demonstrator unit is approximately $3.73.

d. The rate of markup on cost that was actually realized can be calculated by finding the difference between the actual selling price (clearance price) and the cost, and then calculating the percentage markup based on the cost.

Actual selling price (clearance price) = $1,345

Cost = $1,341.27

Markup on cost that was actually realized = Actual selling price - Cost

Markup on cost that was actually realized = $1,345 - $1,341.27

Markup on cost that was actually realized ≈ $3.73

Rate of markup on cost that was actually realized = (Markup on cost that was actually realized / Cost) * 100

Rate of markup on cost that was actually realized = ($3.73 / $1,341.27) * 100

Rate of markup on cost that was actually realized ≈ 0.2781% ≈ 0.28%

The rate of markup on cost that was actually realized is approximately 0.28%.

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The expression in the format "5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)" represents a mathematical expression with three terms. To create the expression with the given conditions, we can use the following format:

5(blank space 1) + (blank space 3)(blank space 4) + 8(blank space 7)

Here are four options for each blank space:

Option 1:

Blank space 1: x

Blank space 3: 2

Blank space 4: y

Blank space 7: z

So the expression would be:

5x + 2y + 8z

Option 2:

Blank space 1: a

Blank space 3: 3

Blank space 4: b

Blank space 7: c

So the expression would be:

5a + 3b + 8c

Option 3:

Blank space 1: m

Blank space 3: 4

Blank space 4: n

Blank space 7: p

So the expression would be:

5m + 4n + 8p

Option 4:

Blank space 1: r

Blank space 3: 1

Blank space 4: s

Blank space 7: t

So the expression would be:

5r + s + 8t

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Answer:

\(x\leq -3\)

Step-by-step explanation:

I can't write interval notation on Brainly but I can solve the inequality.

\(5x+4\leq x-8\)

Subtract \(x\) from both sides

\(4x+4\leq -8\)

Subtract 4 from both sides

\(4x\leq -12\)

Divide both sides by 4

\(x\leq -3\)

Answer:

108 inches and 2160 inches

Step-by-step explanation:

108 inches = 274.32 cm

180 inches = 457.2 cm

The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²

Let the area of the photograph = A2

The scale A1 to A2,

1/12 = A1/A2

1/12 = 125419.1/A2

∴ A2 = 12 X 125419.1 = 1505029.2 cm²

For their lenghs

1/12 = L1/L2

1/12 = 457.2/L2

L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)

The width of  the photograph

1505029.2/5486.4 = 274.3 cm ( 108 inches)

The ellis weight is heavier and by 7.23 lbs.

We are given that;

Weight= 5pounds

Now,

To convert Ed’s weight from kilograms to pounds, we can multiply by the conversion factor of 2.20462262185. We get:

Ed’s weight in pounds = 50 kg * 2.20462262185 lbs/kg Ed’s weight in pounds = 110.2311310925 lbs

To convert Ellis’s weight from stones and pounds to pounds, we can multiply the number of stones by 14 and add the number of pounds. We get:

Ellis’s weight in pounds = 7 stones * 14 lbs/stone + 5 lbs Ellis’s weight in pounds = 98 + 5 Ellis’s weight in pounds = 103 lbs

To compare the weights, we can subtract them and see which one is larger. We get:

Ed’s weight - Ellis’s weight = 110.2311310925 lbs - 103 lbs Ed’s weight - Ellis’s weight = 7.2311310925 lbs

Therefore, by unitary method the answer will be 7.23 lbs.

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An equation in the standard coordinates for images that describes an ellipse centered at the origin with a length 4 major cord parallel to the vector images and a length 2 minor axis is (x^2)/4 + (y^2) = 1.

An ellipse centered at the origin with a length 4 major chord parallel to the vector images and a length 2 minor axis can be described by the following equation in standard coordinates:

(x^2)/(a^2) + (y^2)/(b^2) = 1

"a" represents the semi-major axis, and "b" represents the semi-minor axis. Since the major chord has a length of 4, the semi-major axis (a) is half of that, or 2. Similarly, the minor axis has a length of 2, so the semi-minor axis (b) is half of that, or 1.

Substituting these values into the equation, we get:

(x^2)/(2^2) + (y^2)/(1^2) = 1

Simplifying the equation, we have:

(x^2)/4 + (y^2) = 1

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The Fundamental Theorem of Linear Algebra states that the set of solutions of any system of linear equations can be represented as the sum of an arbitrary solution and the nullspace (subspace) of the homogeneous system corresponding to the given system.

A system of linear equations consists of multiple linear equations with the same variables. The goal is to find a set of values for the variables that satisfy all the equations simultaneously.

The homogeneous system of linear equations is obtained by setting all the right-hand sides of the equations to zero. In other words, the homogeneous system has the same equations as the given system, but without the constant terms.

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No, 3 is not an algebraic expression.

In mathematics, an algebraic expression is a combination of numbers, variables and arithmetic operations (such as addition, subtraction, multiplication and division) that can be evaluated to a specific value when the variables are assigned specific numerical values.

For example, 3x + 2 is an algebraic expression. Here, x is the variable and 3, 2 are constants. We can substitute any numerical value for x and evaluate the expression for that specific value.

On the other hand, 3 is a numerical value, not an expression. It doesn't contain any variables or operators that can be evaluated for different values. It is a constant value, it doesn't change with the change of x or any other variable.

In summary, an algebraic expression is a combination of numbers, variables and arithmetic operations, whereas 3 is just a numerical value, not an algebraic expression.

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Answer:

Step-by-step explanation:

b(9-3)

Step-by-step explanation:

Increase the number by 5% of its value.

Percentage increase = 5% × 220

New value =

220 + Percentage increase =

220 + (5% × 220) =

220 + 5% × 220 =

(1 + 5%) × 220 =

(100% + 5%) × 220 =

105% × 220 =

105 ÷ 100 × 220 =

105 × 220 ÷ 100 =

23,100 ÷ 100 =

231

If the variable attractiveness increases while the variable weight remains constant, the correlation is said to be a positive correlation. A positive correlation means that as one variable increases, the other variable also tends to increase.

For example, let's consider a study examining the relationship between the attractiveness of a person and their weight. If the study finds that as attractiveness increases, weight also tends to increase while keeping other factors constant, then we can say there is a positive correlation between attractiveness and weight.

In this case, the variable attractiveness is increasing while the variable weight remains constant. This means that as attractiveness increases, weight also tends to increase, indicating a positive correlation.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not necessarily mean that one variable causes the other to change. Correlation simply measures the strength and direction of the relationship between two variables.

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Answer:

9/25

Step-by-step explanation:

1-0.64=0.36

0.36≡9/25

The answer is B and pls mark me brainiest

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

To find the equation of the hyperbola with the given foci and vertices, we need to determine the center, semi-major axis (a), and semi-minor axis (b) of the hyperbola.

The center of the hyperbola is the midpoint between the two vertices:

Center = ((3 + 3) / 2, (5 + (-1)) / 2) = (3, 2).

The distance between the center and one of the vertices gives us the semi-major axis (a):

a = distance between center and vertex = 5 - 2 = 3.

The distance between the center and one of the foci gives us the distance c (the distance from the center to the focus):

c = distance between center and focus = 7 - 2 = 5.

Now, we can find the value of b (the semi-minor axis) using the relationship between a, b, and c in a hyperbola:

c² = a² + b²

5² = 3² + b²

25 = 9 + b²

b² = 25 - 9

b² = 16

b = 4.

Now that we have the center (h, k) = (3, 2), the semi-major axis (a) = 3, and the semi-minor axis (b) = 4, we can write the equation of the hyperbola in standard form:

For a hyperbola (center at (h, k)), the equation is:

(x - h)² / a² - (y - k)² / b² = 1.

Plugging in the values:

(x - 3)² / 3² - (y - 2)² / 4² = 1.

The equation of the hyperbola is:

(x - 3)² / 9 - (y - 2)² / 16 = 1.

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To make wheels of a diameter of 67.5 mm and a width of 29.3 mm, Alfie requires 104891.38 cubic mm volume of plastic.

A cylinder is a 3-Dimensional shape with 3 faces that are one curved face and 2 flat ends. The volume of a cylinder is given by the expression:

V = π\(r^2h\)

r is the radius

h is the height

Given, diameter = 67.5 mm

radius = d ÷ 2 = 67.5 ÷ 2

= 33.75 mm

height = width = 29.3 mm

Volume = \(\frac{22}{7}*33.75*33.75*29.3\)

= 104891.38 cubic mm

Therefore, the volume of the cylindrical wheel that Alfie designed is 104891.38 cubic mm.

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The value of the equivalent equation will be 32=3x+8

It is given in the question that

\(\rm Log_2(3x+8)=5\)

Now from the antilog property property

\(\rm x=Log_by\)  can be written as below

\(b^x=y\)

So the value of  \(\rm Log_2(3x+8)=5\)  will be

\(2^5=3x+8\)

\(3x+8=32\)

Thus the value of the equivalent equation will be 32=3x+8

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Answer:

I did it on edgeinuity

Step-by-step explanation:

The area left over after the barn is built is 54,125 m².

Given that, A rectangular field is 130 m by 420 m. A rectangular barn 19 m by 25 m is built in the field.

The total area of the rectangular field is 130 m x 420 m = 54,600 m².

The area of the rectangular barn is 19 m x 25 m = 475 m².

The area left over after the barn is built is

54,600 m² - 475 m² = 54,125 m²

Therefore, the area left over after the barn is built is 54,125 m².

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Answer:

x=1.5

Step-by-step explanation:

Answer:

2x-3x=x4-2x2+2x

x=8x

x*x=8

The business cycle is a recurring pattern of economic expansion and contraction that occurs in economies over time. Each business cycle typically consists of four phases: expansion, peak, contraction, and trough.

The peak is the highest point of economic activity within a business cycle. It marks the end of the expansion phase and the beginning of the contraction phase. During this phase, economic indicators, such as GDP, employment, and consumer spending, reach their highest levels.

The peak is indeed a part of the business cycle. It represents the phase of maximum economic activity and is characterized by various indicators reaching their highest points. This phase is followed by the contraction phase, where economic activity slows down. Therefore, the peak is a crucial element in understanding and analyzing business cycles.

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Answer:

x = 2

Step-by-step explanation:

by adding both equations ,

we get 7x = 14

that's why x = 2 .

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Answer: 32 cookies

Step-by-step explanation:

8 times 3 is 24

24+8=32 cookies

Answer:

The numbers are 16 and 25

For a-1 the correct option is d. Q₁ means 25%  observations are less than 41, and 75% are more than 41. For a-2, the correct option is b. Q₃ means 75% of observations are less than 65, and 25% falls above 65. The interquartile range is 24.

Here the five-point summary is given.

Min      Q₁        Median      Q₃         Max

  21       41            53            65         85

Minimum is the minimum value in the data, maximum is the maximum value. Median is the middle value or the 50th percentile. It is also known as second quartile. The first quartile or Q₁ is the 25th percentile. It means that the 25% of data falls below Q₁ and 75% falls above Q₁.

For the third quartile or Q₃ is the 75th percentile. 75% of values will be under this Q₃ and 25% of values falls above this value. Difference between first and third quartile is called interquartile range.

Interquartile range = 65-41 = 24

So for the Q₁ interpret, 25 % values fall under 41 and 75% values fall above 41. Option D is the correct answer. For Q₃ interpret 75% of values fall under 65 and 25% falls above 65. Option B is the correct answer.

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Complete question is provided as the image.

None of the given options (4,2), (2,4), or (2,3) can be considered as the corresponding point for the complex function based on the information provided.

To find the corresponding point for the complex function y = f(x-4) + 2, where the basic function is y = f(x) and the given point is (-2, 3), we need to substitute x-4 into the function and evaluate it.

Let's substitute x-4 into the basic function y = f(x):

y = f(x-4)

  = f((-2)-4)

  = f(-6)

Since we only have the value of the basic function at (-2, 3), we cannot determine the corresponding point for the complex function y = f(x-4) + 2.

Therefore, none of the given options (4,2), (2,4), or (2,3) can be considered as the corresponding point for the complex function based on the information provided.

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Answer:

x = -15 and x = -2

Step-by-step explanation:

x+2 = \(\sqrt{-13x-26}\)

first step is to square both sides to eliminate the square root symbol

(x+2)² = -13x - 26

now use the 'foil' method on (x+2)² to get:

x² + 4x + 4 = -13x - 26

add 13x to each side to get:

x² + 17x + 4 = -26

add 26 to each side to get:

x² + 17x + 30 = 0

(x+15)(x+2) = 0

x+15 =0;  x = -15

x+2 =0;   x = -2

Answer:

Explicit formula: a(n)=3n-6

Recursive formula: a(n)=-3+(n-1)3 <--

Step-by-step explanation:

a(n)=3n-6 where a(1)=3(1)-6=-3 and d=3

Plug values into recursive formula:

a(n)=a1+(n-1)d

a(n)=-3+(n-1)3