Which Expression is equivalent to 16^3/2?

\(a. \: 5.745 \times {10}^{2} < |58.6| < 5.745\)

This is your answer

Answer: y= 10cos(pi/5(x-4))+5

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(30+5)

4(30)+4(5)

120+20

140

Answer:

  n = 27

  m = 36

Step-by-step explanation:

The isosceles triangle with n° as its base angle will have a sum of angles that is 180°.

  2n° +126° = 180°

  n +63 = 90 . . . . . . divide by 2°

  n = 27 . . . . . . . . . subtract 63

__

The external angle 126° is the sum of the remote interior angles m° and 90°.

  m° +90° = 126°

  m = 36 . . . . . . . . . . divide by °, subtract 90

Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

The amount it would cost to put a new floor in the closet is $76.00

From the question, we are to calculate how much it would cost to put a new floor in the closet

From the given information,

A closet in the house is 2 yards by 1 yard.

To determine how much it would cost to put a new floor in the closet,

First,

We calculate the area of the closet

Area of the closet = 2 yard × 1 yard

Area of the closet = 2 square yards

Now,

From the given information,

The flooring costs $38.00 per square yard

Thus,

The amount it would cost to put a new floor in the closet is

2 × $38.00

= $76.00

Hence,

The amount it would cost is $76.00

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The order in the label 1 is (d) Not plain coffee

The complete question is added at the end of this solution as an attachment

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

Drink ordered are for Espresso drinks

The above is represented in label 2

Label 2 and label 1 are direct opposites

So, the entry in label 1 is Drink ordered are not for Espresso drinks

Espresso drinks are plain coffee

So, we have

Label 1 = Not plain coffee

Hence, the label 1 is (d) Not plain coffee

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Answer:

plain coffee

Step-by-step explanation:

Answer:

y = 1/5x - 6.4

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes, so the slope will be 1/5

Then, plug the slope and the point into the equation y = mx + b to find b

y = mx + b

-7 = 1/5(-3) + b

-7 = -0.6 + b

-6.4 = b

Then, plug this and the slope into the equation

y = 1/5x - 6.4 will be the equation

Answer:

4.00586

Step-by-step explanation:

yup. so ya.... 20 character reached I hope

For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

It already is in standard form btw

Step-by-step explanation:

Answer:

5690 is standard form

five thousand six hundred ninety is word form

5000+600+90 is expanded form

hope this helps

have a good day :)

Step-by-step explanation:

The correct statements are: A, B and F, for the equations f(x) = (1.4)x + 2, g(x) = 2x − 5.

What are the correct statements ?

To determine the answer, we can look at the slopes of the two lines. The slope of f(x) is 1.4, and the slope of g(x) is 2. Since the slope of g(x) is larger than the slope of f(x), the value of g(x) will increase faster than the value of f(x) as x increases. Therefore, options A and F are incorrect.

Next, we can set f(x) equal to g(x) and solve for x:

(1.4)x + 2 = 2x − 5

0.6x = -7

x = -35/3

Therefore, the equation f(x) = g(x) will be true for exactly one value of x, so option B is correct.

Option D is incorrect because there is only one solution to f(x) = g(x). Option E is incorrect because we have already found one solution to f(x) = g(x). Option C and G are incorrect because the graphs of f and g will never cross since the slope of g(x) is larger than the slope of f(x).

Therefore, the correct statements are:

B. The equation f(x) = g(x) will be true for exactly one value of x.

A. The graphs of f and g will never cross because the value of g(x) will continually increase faster than the value of f(x).

F. The graphs of f and g will never cross because the value of g(x) will continually increase faster than the value of f(x).

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Complete question is: The correct statements are: A, B and F, for the equations f(x) = (1.4)x + 2, g(x) = 2x − 5.

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Answer:

define your variables.

Carrie has 4 more pints of paint than Bryan.

Carrie has 3 gallons of paint, which is equivalent to 12 quarts (1 gallon = 4 quarts). On the other hand, Bryan has 10 quarts of paint.

To compare the quantities in the same unit, we note that 1 quart is equal to 2 pints.

Carrie's 12 quarts of paint is equivalent to 12 × 2 = 24 pints.

Bryan's 10 quarts is equivalent to 10 × 2 = 20 pints.

To find the difference, we subtract Bryan's pint quantity from Carrie's:

24 - 20 = 4 pints.

Therefore, Carrie has 4 more pints of paint than Bryan.

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The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

-8.5m

Step-by-step explanation:

Answer:

15.3feet

Step-by-step explanation:

Given the scale model of a train as;

2cm = 3feet

We are to find the height of real train of height 10.2cm, we can write;

10.2cm = x

Divide both expressions

2/10.2 = 3/x

2x = 3×10.2

2x = 30.6

x= 15.3

Hence the height if the real train is 15.3feet

The height of the real train when the graph model is 10.2 cm is; 15.3 ft

We are given;

Scale of the model; 2cm to represent 3 feet in a real train.

2 cm is the graph height while 3 ft is the real height.

h = 3x/2

For a height of 10.2, we will have;

h = 3 × 10.2/2

h = 15.3 ft

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Answer:

We are trying to calculate the area of the park by modeling it with shapes. To start, the larger rectangle (green) toward the top is the easiest to calculate. Its length is 8 yards and its width is 4 yards, so the area would be 8 x 4 = 32 yards^2.

Next, the 3 rectangles at the bottom (white). The one in the middle has a length of 4 yards and a width of 3 yards, so its area is 4 x 3 = 12 yards^2. The two rectangles to either side are the same size, so together their area will be 2 x 4 x 3 = 24 yards^2.

Now that we have modeled the park with 3 shapes, we need to add the areas together to get the total area. So, we have 32 + 12 + 24 = 68 yards^2. The total area of the park is 68 yards^2.

Step-by-step explanation:

The area of the park is about :

95 + 27 = 122 yards

We have the following information available from the question is:

The outline of a park is shown in the diagram. Each square on the grid represents a square yard. Use shapes to model the area of the park.

Now, According to the question:

Each square on the grid represents a square yard, and as we can see from the figure that the complete square is about 95, the incomplete grid is about 27,

So the area of the park is about :

95 + 27 = 122 yards

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Answer:

Step-by-step explanation:

The magnitude of an earthquake is a measure of the amount of energy released during the earthquake. A stronger magnitude generally means a more powerful earthquake.

Answer:

After 10 weeks: 40 inches

Step-by-step explanation:

Equation

15 + 2.5w = h

15 = beginning height

2.5 = rate per week

w = weeks passed

h = total height

Two or more expressions with an Equal sign is called as Equation.15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

Two or more expressions with an Equal sign is called as Equation.

Given that, At the beginning of spring, Caroline planted a small sunflower in her backyard

The initial height of the sunflower was  15 inches tall.

The sunflower then began to grow at a rate of 2.5 inches per week.

We need to find the height of the tree after 10 weeks.

15+2.5(10)

15+25

40 inches tall after 10 weeks.

the sunflower height after w weeks

15+2.5W

Hence 15+2.5W tall l would the sunflower be after w weeks and 40 inches tall after 10 weeks.

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Answer:

a = 9

Step-by-step explanation:

a^2 = 41^2 - 40^2

a^2 = 1681-1600 = 81

a = 9

Answer:

1 lb=2 batches     3/4 lb=1 1/2 batches     1/4 lb= 1/2 a batche

Step-by-step explanation:

1x2=2   b

3/4x2=1   1/2   b

1/4x2=1/2   b

b=batches

Answer:

Step-by-step explanation:

To find the cost of each box divide the total cost by the number of boxes:

In store A:

→ A box of cotton candy cost = $ 1

→ 12 boxes cost = $ 12

In store B:

→ 12 boxes cost = $ 48

Now we have to,

find the cost of each box in the store B.

→ Total cost in B ÷ Total boxes in B

→ 48 ÷ 12 = 4

So, $ 4 is cost of each box in store B.

We can infer from the answer that the terms are then combined in accordance with the rules of mathematical equations to get the equivalent formula \(3x^2+7x+2\).

An equation in mathematics is the assertion that two expressions are comparable. An equation is a pair of sides that are separated by the equal sign (=) in algebra. For instance, the assertion "2x + 3 = 9" asserts that the value "9" equals the phrase "2x + 3." The aim of equation solving is to determine the value or values of the variable(s) required for the equation to be true. Equations can be simple or complicated, regular or nonlinear, and they can have one or more parts. The variable x is raised to the second power via the equation "\(x^2+2x-3=0\)".

Lines are utilised in various areas of mathematics, such as algebra, calculus, and geometry.

For x = 1

(3x + 1) (x + 2) = (3 + 1) (1 + 2)

As a result, the rectangle's side lengths are:

Height = 4, and Width = 3

For x = 1, x² = 1² = 1

∴ 3·x² = 3, 7·x = 7 × 1 = 7, and 2 = 2

As a result, the diagram gives us:

The area = (3x + 1) (x + 2) = 3 dark green squares + 7 light green squares + 2 Plain squares

∴ (3x + 1) (x + 2) = 3·x² + 7·x + 2

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Diagram is attached below,

Answer:

591755.66030836 was my answer. Hope that helps.

Answer:

---------------------

Formula for area of a rectangle with dimensions l and w is:

Substitute 10 for l and 4 for w:

\(i) \: \:1 \times \frac{5}{11} \times 12\)

\( = \frac{16}{11} \times 12\)

\( = \frac{192}{11} \)

\(ii) \: \: 1 \times \frac{7}{12} \times 21\)

\( = \frac{19}{12} \times 21\)

\( = \frac{19}{4} \times 7\)

\( = \frac{133}{4} answer\)

The required product of the expression are 17 5/11 and 33 1/4 respectively

Given the following products

1) 1 5/11 * 12

This can also be expressed as:

1) 16/11 * 12

= 192/11

= 17 5/11

For the product 1 7/12 * 21

2) 19/12 * 21

= 399/12

= 33 1/4

Hence the required product of the expression are 17 5/11 and 33 1/4 respectively

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