Hunter is playing a video game where each round lasts ¾ of an hour. He has scheduled 3 hours to play video games. How many rounds of the game will he be able to play?

\(\boxed{21}\)

When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.

Hi there! Hopefully this helps!

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When you multiply two negatives (-, -,), you are gonna get a positive(+)

[Like making a cross out of two lines].

\(-3(-7) = +3(+7)\)

From the calculation done below, it can be seen that the cost of one orange is 85 cents.

The cost of one orange can be determined as follows:

One dime = 10 cents

2 dollars = 200 cents

Total amount given by Sue to the store clerk = One dime + 2 dollars = 10 cents + 200 cents = 210 cents

Cost of two oranges = Total amount given by Sue to the store clerk –

Change = 210 cents – 40 cents = 170 cents

Cost of one orange = Cost of two oranges / 2 = 170 cents / 2 = 85 cents

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If m is a nonzero integer, then m^(1/m) is not always greater than 1.

The statement is false.

To determine if m^(1/m) is greater than 1, we can consider different values of m. For positive values of m, such as m = 2, m^(1/m) = 2^(1/2) = √2, which is approximately 1.414 and greater than 1.

However, if we consider negative values of m, such as m = -2, m^(1/m) = (-2)^(1/(-2)) = (-2)^(-1/2), which is equal to 1/√(-2). Since the square root of a negative number is not defined in the real number system, the value of m^(1/m) is not defined for negative values of m.

Therefore, the statement that m^(1/m) is always greater than 1 for nonzero integers m is false.

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The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2

The function is given as:

f(x) = 3|x - 2| + 6

The value of f(x) is

f(x) = 18

So, we have:

3|x - 2| + 6 = 18

Subtract 6 from both sides

3|x - 2| = 12

Divide both sides by 3

|x - 2| = 4

Remove the absolute bracket

x - 2 = 4 or x - 2 = -4

Add 2 to both sides

x = 6 or x = -2

Hence, the values of x are 6 and -2

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The new co-ordinates of the point after transformation is (-3,9)

A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates,

Given here: The point g'(4,6)

The point transforms to  (x-7,y+3)

Thus the new points are 4⇒4-7=-3

6⇒6+3=9

Thus, The new co-ordinates of the point after transformation is (-3,9)

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Answer:

1) The expected value of the "winnings" is $(-0.97\(\overline 2\))

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 3, we have 1/36 × (20 - 5) = 0.41\(\overline 6\)

For 4, we have 1/18 × (20 - 5) = 0.8\(\overline 3\)

For 5, we have 1/18 ×  (10 - 5) = 0.2\(\overline 7\)

For 6, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 7, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 8, we have 1/12 × (10 - 5) = 0.41\(\overline 6\)

For 9, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 10, we have 1/18 × (-20 - 5) = -1.3\(\overline 8\)

For 11, we have 1/36 × (-20 - 5) = -0.69\(\overline 4\)

For 12, we have 1/36 × (-25 - 5) = -0.69\(\overline 4\)

The expected value of the winnings is given as follows;

0.41\(\overline 6\) + 0.41\(\overline 6\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.8\(\overline 3\) + 0.41\(\overline 6\) + 0.41\(\overline 6\) + -1.3\(\overline 8\) -1.3 - 0.69\(\overline 4\) - 0.69\(\overline 4\) = -0.97\(\overline 2\)

Therefore, the expected value = $-0.97\(\overline 2\), which is one is expected to lose $0.97\(\overline 2\)

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97\(\overline 2\)

Using Heron's formula we will get that the area is 7.68 cm²

For a triangle whose sidelengths are s₁, s₂, and s₃, Heron's formula for the area is:

A = √(s*(s - s₁)*(s - s₂)*(s - s₃))

Where:

s = (s₁ + s₂ + s₃)/2

Here we have:

s₁ = 4cm

s₂ = 4cm

s₃ = 4.8cm

Then:

s = (4cm + 4cm + 4.8cm)/2 = 6.4 cm

Then the area is:

A = √( (6.4)*( 6.4 - 4)*( 6.4 - 4)*( 6.4 - 4.8))

A = 7.68 cm²

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The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Answer:

(-12-7y)

Step-by-step explanation:

(4-5y) - (2y-16)

4-16= -12

-5y-2y=-7y

(-12-7y)

Answer:

$22.50 I think I'm not 100% sure, Im sorry

Step-by-step explanation:

90/4 is 22.5 a year

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

The matching answers and corresponding colors for the holiday lights are: (Slope: 3) Dark Blue, (Slope: -4) Violet, (Slope: 1/4) Red.

To find the slope of a line passing through two points \((x_1, y_1)\ and\ (x_2, y_2)\), we can use the formula:

Slope = \((y_2 - y_1) / (x_2 - x_1)\)

Let's calculate the slopes for each pair of points:

1. (8, 3) and (10, 9):

Slope = (9 - 3) / (10 - 8) = 6 / 2 = 3

2. (2, -3) and (1, 1):

Slope = (1 - (-3)) / (1 - 2) = 4 / (-1) = -4

3. (-4, -8) and (-8, -9):

Slope = (-9 - (-8)) / (-8 - (-4)) = (-9 + 8) / (-8 + 4) = -1 / (-4) = 1/4

Now let's compare the slopes to identify the matching answers:

1. Slope: 3 (Dark Blue)

2. Slope: -4 (Violet)

3. Slope: 1/4 (Red)

Thus, the corresponding colors for the holiday lights would be:

1. Dark Blue

2. Violet

3. Red

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The area of the figure is 104 cm².

Area is the region bounded by a plane shape.

Note: The figure shown below is a trapezium. And We need to find the vertical height of the figure before we can calculate the area.

To calculate the area of the figure, we use the formula below

Formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

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How to find input and output from the co-ordinates on the graph?

Here the co-ordinate having x=2 is

So the output is 0

Every pair have ( x , y ) which means x is input and y is output .

Here , input is 2 (x)

then , let output be y ( indicate with 0 )

So , the co- ordinates are ( x , y ) = ( 2 , 0 ) .

Answer:

it is an integer

Step-by-step explanation:

bc it's -3

In Bach's Little Fugue, the main melody is typically repeated in a high part.

The high part is usually played by the trumpet or the violin, while the lower parts are played by other instruments like the bassoon, cello, or organ. A fugue is a musical composition where a single melody is introduced, repeated, and developed in different parts and voices. Bach's Little Fugue in G minor is one of the most famous fugues of all time and is an excellent example of this compositional technique. The fugue is typically played on an organ and features four voices, each with its own unique melody. The piece begins with the introduction of the subject, which is then repeated and developed in various parts throughout the composition. The repetition and development of the main melody are what make a fugue unique and interesting to listen to. In Bach's Little Fugue, the high trumpet or violin parts are where you can typically listen for the repetition of the main melody.

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The product of \(43 (5/12)\) and \(11\)comes to be \(477(7/12)\). \(43\) and \(5/12\) \(= 43 \frac{5}{12}\).

The thing that is being sold is referred to as a product. A services or an object both qualify as products.It might manifest in real, virtual, or cyberspace. Every product has a cost associated with it, and each one has a price. The marketplace, the quality, the marketing, and the group that is being targeted all affect the price that may be charged.

The term "product" is frequently used as a synonym for "merchandise," or the items displayed on shelves and racks in stores. But, a product may also just be the outcome of someone's actions or a particular set of circumstances.

So, the product of 43 (5/12) and \(11 = 43\frac{5}{12}\)

\(43\frac{5}{12}=\frac{12*43+5}{12}=\frac{521}{12}\)

\(\frac{521}{12}*11 =\frac{5731}{12}\)

\(\frac{5731}{12}=477\frac{7}{12}\)

Hence, the product of \(43 (5/12)\)  and \(11\) comes to be \(477 \frac{7}{12}\).

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The complete and the correct form of question is:

What's 43 and 5/12 times 11?

The new mixture will be worth $10.33 per pound.

To determine the value per pound of the new mixture, we can calculate the weighted average of the two types of coffee based on their prices per pound.

The value of the 20 lbs of coffee worth $8 per pound is 20 lbs * $8/lb = $160.

The value of the 10 lbs of flavored coffee worth $15 per pound is 10 lbs * $15/lb = $150.

The total value of the mixture is $160 + $150 = $310.

The total weight of the mixture is 20 lbs + 10 lbs = 30 lbs.

To find the value per pound, we divide the total value by the total weight: $310 / 30 lbs ≈ $10.33 per pound.

Therefore, the new mixture will be worth approximately $10.33 per pound.

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Answer:

why did the teacher give an exam

The number of combination of 11 objects taken 7 at a time is 330

The total objects present = 11

Total objects taken at a time = 7

We need to find the number of combinations of 11 objects taken 7 at a time.

To calculate the number of combinations, the formula used is nCr

Where n represents the total number  and r represents the nymber of items choosen at a single time

nCr = n! / (r! x (n – r)!)

nCr = 11! / (7! x (11 - 7)!)

nCr = 11! / (7! x 4!)

nCr = 330

Therefore, the number of combination of 11 objects taken 7 at a time is 330

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The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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To find surface area, use the formula.

2(Lxw +Lxh+wxH)

Answer:

There the answer is simplified and I used Cymath it goes down step by step.

Step-by-step explanation:

I hope I helped! :)

Answer = (1.5, 0.25)

Answer:

there are 4 groups of 3

Step-by-step explanation:

12 ÷ 3 = 4

answer : 4

Step-by-step explanation:

12 = 3 + 3 + 3 + 3 there are 4 groups of 3

Answer: 15kg is equivalent to 33.0693 or 33, for short.

Step-by-step explanation:

33.0693 kilograms, or 33, are equal to 15 kilograms.

A pound is about equivalent to 0.45359237 kilograms. By dividing the specified pound value by 0.45359237, one can convert a pound to kilograms. Remember that 1 kg equals 2.2046 lbs when converting weights.

The weight of a kilogram (kg) is said to be 2.2 times that of a pound. Thus, 2.26 pounds are equal to one kilogram of mass. In light of this, we shall now examine some of the primary variations between the pound and the kilogram. A pound is an imperial unit used to measure bulk or weight.

A weight of 500 pounds exceeds a weight of 200 kilograms because 227 kilograms is greater than 200 kilograms.

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If you aspire to work in the tech industry or pursue a career in software development, then learning how to code is absolutely necessary. Additionally, coding skills can also be valuable in many other fields, such as data analysis, finance, and engineering.

However, if your career goals lie outside of these areas, coding may not be essential. That being said, understanding the basics of coding can still be beneficial, as it can improve problem-solving skills and provide a better understanding of how technology works.

Ultimately, whether or not coding is necessary is dependent on your career aspirations and personal interests. If you enjoy working with technology and want to pursue a career in the tech industry, then learning to code is a valuable investment. If not, it may not be a critical skill to acquire.

Coding is necessary in today's world for various reasons such as technological advancements, problem-solving, and career opportunities. It plays a crucial role in creating software, websites, and digital tools. Additionally, learning to code fosters critical thinking and improves communication skills. While not everyone may pursue a career in programming, having basic coding knowledge can be beneficial across numerous industries.

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we first found the antiderivative of (3x-8)/9, which allowed us to write the general solution to the differential equation. We then used the initial condition y(-1) = -6 to find the specific value of the constant of integration. Finally, we obtained the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6.

To find the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6, we need to integrate both sides of the equation with respect to x.

The antiderivative of (3x-8)/9 is (3/18)x^2 - (8/27)x + C, where C is an arbitrary constant of integration. Therefore, we have:

y(x) = (3/18)x^2 - (8/27)x + C

To determine the value of the constant C, we use the initial condition y(-1) = -6. Substituting x = -1 and y = -6 into the equation above, we get:

-6 = (3/18)(-1)^2 - (8/27)(-1) + C

Simplifying this expression, we get:

C = -5

Therefore, the function y(x) that satisfies the differential equation dy/dx = (3x-8)/9 and y(-1) = -6 is:

y(x) = (1/6)x^2 - (8/27)x - 5

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The equations that are equivalent are B×10p = 2 and D×p = 20.

Given, For $5.00, Jamie purchased a notebook and a box of pencils.

10 pencils are contained in a box, and the notepad costs $3.00.

The price of one pencil can be calculated using the equation 3+10p=5.

According to the question:

3 ₊ 10p = 5

10p = 5 ₋ 3

10p = 2

p = 2/10

p = 0.2

equations can be :

B × 10p = 2 and D × p = 0.20

Hence we get the equations as: B × 10p = 2 and D × p = 0.20

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