video games six hours every weekend. he also plays 2 hours each day of the week. how many hours does mr.danie spend playing video games over 3 weeks

Answer:

9 pints

Step-by-step explanation:

there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.

16 ÷ 2 = 8

9 is greater than 8, so 9 pints.

Answer:

9252975

Step-by-step explanation:

34,526x268=9252968

9252968+147=9253115

9253115-140=9252975

The midpoint will be the point that is exactly between the two points given. This means that the horizontal distance from both points to the midpoint will be the same. Likewise for the vertical distance.

The horizontal distance between (-8,5) and (-1,-9) is

And the vertical distance is

Now, the midpoint will be located half the vertical distance and half the horizontal distance from the endpoints

Therefore, the x coordinate of the midpoint is

And the y coordinate is

Hence, the coordinates of the endpoints are

Answer:

(- 3, 1.5)

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

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

the answer is in the picture

To find the area of the composite figure:-

We can use following methods-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

"It is shape that is made up of two or more geometric shapes"

A = 1/2 × b × h

where b is the base of the triangle and 'h' is the height of the triangle

A = l × w

where l = length of the rectangle

w = width of the rectangle

For given example,

We need to find the area of the composite figure.

To find the area of the composite figure:-

We can follow-

1. Decompose the figure into one rectangle and one triangle and add the area.

2. Decompose the figure into two trapezoids and add the area.

3. Find the area of the larger rectangle, then subtract the area of the two small triangle

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Answer: A, B, and D

Step-by-step explanation:

W=Vpg is the equation showing weight (W) equals that does not require knowing the mass (m) to solve

The weight of an object is the force acting on the object due to gravity.

Given that he weight of an object equals its mass times the acceleration due to gravity (g),

which we can express like this: W = mg.

The mass (m) of an object equals its volume times its density, which we can express like this: m = Vp.

We need to find an equation showing what weight (W) equals that does not require knowing the mass (m) to solve.

W=mg...(1)

m=Vp---(2)

Substitute equation 2 in 1.

W=Vpg

Hence, W=Vpg is the equation showing weight (W) equals that does not require knowing the mass (m) to solve.

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\(\tt Step-by-step~explanation:\)

We could see that the size of both images does not change, so it is not a dilation. The image is not mirrored either, so it is not a reflection. Finally, the image does not seem to change place that much from the preimage, so it should not be a translation, either. That means our answer is a rotation, because the image rotated about 180º.

\(\large\boxed{\tt Our~final~answer:~Rotation}\)

Answer: 450

Step-by-step explanation: 95+115+240=450

Answer:

4 18/100

Step-by-step explanation

Answer: 51 Children and 36 Adults.

Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.

We know that x+z= 87

We also know that 3.25x+3.5z= 291.75.

We want to find the value of x and z. Then we solve the system of equations:

Multiply the first equation by -3.5 and add it to the second equation:

-3.5x-3.5z= -304.5

3.25x+3.5z= 291.75

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

-0.25x=-12.75

x= -42.75 ÷ -0.25

x=51

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

Now we substitute the value of x in the first equation and solve for the variable z

51+z=87

z=87-51

z= 36

Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.

3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

Let's start by breaking down the information given:

- Three-fourths of the yard is covered with grass.

- One-fourth of the yard is used as a garden.

- The sprinkler could only water 1/5 of the yard.

To find out how much of the grass died, we need to determine the portion of the grass that was not watered by the sprinkler.

Let's assume the total area of the yard is represented by the value 1. Therefore, we can calculate the area of the grass as 3/4 of the total yard, which is (3/4) * 1 = 3/4.

The sprinkler can only water 1/5 of the yard, so the portion of the grass that was watered is (1/5) * (3/4) = 3/20.

To find the portion of the grass that died, we subtract the watered portion from the total grass area:

Portion of grass that died = (3/4) - (3/20) = 15/20 - 3/20 = 12/20.

Simplifying, we get:

Portion of grass that died = 3/5.

Therefore, 3/5 or 60% of the grass died because the sprinkler could only water 1/5 of the yard.

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Answer:

4x - x = 16 - 7

--> 3x = 9

-> x = 3

Step-by-step explanation:

We are asked to type a function that has the range { -5,0, 9}

by using the pairs:

(8, 9), (4, 0) (3, 0) (9, 4) (3, -5) and (-5, 1)

Notice that our relationship must be a FUNCTION, so there should be NO repetition of the first coordinate in the pairs we select.

In roder to have the number "-5" in the Range, we select:

(3, -5)

In order to have the number "0" in the Range, we select either (4, 0) OR (3, 0) but NOT both. So, let's settle for (4, 0)

In order to have the number "9" in the Range, we select (8, 9)

So our function looks like:

(3, -5) , (4, 0), and (8, 9)

Answer:Undefined

Step-by-step explanation: The line is going straight so it makes it undefined

The exact value of sin(5π/12) is (√6 + √2)/4

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

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Given the coordinates of J are (-4,5).

The change of coordinates occurs while rotates 90 degrees clockwise is:

After 90 degrees clockwise rotation, the coordinates of J will change to

The coordinates of J' are (5,4).

Answer:

4x^3

Step-by-step explanation:

Choose p so that it's the derivative of x^4.

This would give us integral(e^u du) which is integratable over elementary functions....simply it is e^u+c.

Anyways, p=(x^4)' which gives 4x^3 by power rule.

Choose p(x)=4x^3 or a constant multiple of this would also suffice.

There are no possible real values for the first term 'a' that satisfy both equations.

Let's denote the first term of the geometric progression as 'a' and the common ratio as 'r'.

The sum of the first two terms can be expressed as:

a + ar = 16

To find the sum to infinity, we can use the formula:

Sum to infinity = a / (1 - r)

Given that the sum to infinity is 25, we have:

25 = a / (1 - r)

We now have two equations:

a + ar = 16

a / (1 - r) = 25

We can solve these equations simultaneously to find the possible values of 'a'.

From the first equation, we can factor out 'a' to get:

a(1 + r) = 16

Dividing both sides of the second equation by 25, we have:

a / (1 - r) = 1

We can rearrange this equation to get:

a = 1 - r

Substituting this expression for 'a' in the first equation, we get:

(1 - r)(1 + r) = 16

Expanding the equation, we have:

1 - r^2 = 16

Rearranging the terms, we get:

r^2 = -15

Since we are dealing with a geometric progression, the common ratio 'r' must be a real number. However, we observe that r^2 = -15 has no real solutions. Therefore, there are no possible real values for the first term 'a' that satisfy both equations.

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Answer:

P = x(4x+7)/(x+2)(x+1)

Step-by-step explanation:

P = 2l + 2w. If x/x+2 = l and x/x+1 = w:

P = (2x/x+2) + (2x/x+1)

P = (2x(x+1)/(x+2)(x+1)) + (2x(x+2)/(x+1)(x+2))

P = (2x(x+1) + 2x(x+2))/(x+2)(x+1)

P = (4x squared + 7x)/(x+2)(x+1)

P = x(4x+7)/(x+2)(x+1)

Given:

The equation of perpendicular line is:

\(y=\dfrac{4}{3}x-1\)

The required line passes through the point is (-6,-6).

To find:

The equation of the line.

Solution:

The slope intercept form of a line is:

\(y=mx+b\)               ...(i)

Where, m is the slope and b is the y-intercept.

We have,

\(y=\dfrac{4}{3}x-1\)           ...(ii)

On comparing (i) and (ii), we get

\(m=\dfrac{4}{3}\)

Slope of given line is \(\dfrac{4}{3}\).

The product of slopes of two perpendicular line is -1.

\(m_1\times \dfrac{4}{3}=-1\)

\(m_1=-\dfrac{3}{4}\)

So, the slope of the required line is \(m_1=-\dfrac{3}{4}\). It passes through the point is (-6,-6). So, the equation of the line is:

\(y-y_1=m_1(x-x_1)\)

\(y-(-6)=-\dfrac{3}{4}(x-(-6))\)

\(y+6=-\dfrac{3}{4}(x+6)\)

On further simplification, we get

\(y+6=-\dfrac{3}{4}(x)-\dfrac{3}{4}(6)\)

\(y+6=-\dfrac{3}{4}(x)-4.5\)

\(y=-\dfrac{3}{4}(x)-4.5-6\)

\(y=-\dfrac{3}{4}(x)-10.5\)

Therefore, equations of the required line are \(y+6=-\dfrac{3}{4}(x+6)\) and \(y=-\dfrac{3}{4}(x)-10.5\).

Answer:

The average temperature during the period of 9 am to 9 pm is  58.276 ° F

Step-by-step explanation:

From the given information, the time given as 9 pm implies that t = 12, since there is a period of 12 hours between 9 am to 9 pm.

Hence,

Let the average temperature be represented with \(T_{avg}\)

Then:

\(T_{avg} = \dfrac{1}{12-0}\int^{12}_{0} T(t) dt\)

\(T_{avg} = \dfrac{1}{12}\int^{12}_{0} (50+13 \ sin ( \dfrac{\pi t}{12}))dt\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50t + 13 \begin {pmatrix} -\dfrac{cos \dfrac{\pi t}{12} }{\dfrac{\pi}{12}} \end {pmatrix} \end {bmatrix}^{12}_{0}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50t - \dfrac{13(12)}{\pi} \ cos \begin {pmatrix} \dfrac{\pi t}{12} \end {pmatrix} \end {bmatrix}^{12}_{0}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{13(12)}{\pi} \ cos \begin {pmatrix} \dfrac{\pi (12)}{12}\end {pmatrix} - 50 (0) + \dfrac{13(12)}{\pi} cos \begin{pmatrix}\dfrac{\pi (0)}{12} \end {pmatrix} \end {bmatrix}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{156}{\pi} \ cos \pi - 50 (0) + \dfrac{156}{\pi} cos (0) \end {bmatrix}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 50(12) - \dfrac{156}{\pi} (-1)- 50 (0) + \dfrac{156}{\pi} (1) \end {bmatrix}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 600 + \dfrac{156}{\pi} + \dfrac{156}{\pi} \end {bmatrix}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 600 + \dfrac{312}{\pi} \end {bmatrix}\)

\(T_{avg} = \dfrac{1}{12} \begin {bmatrix} 699.3126845 \end {bmatrix}\)

\(\mathbf{T_{avg} = 58.276}\)

Therefore, the average temperature during the period of 9 am to 9 pm is  58.276 ° F

To determine whether the Law of Sines or the Law of Cosines is needed to solve the triangle, we can compare the given information with the formulas for each law.

The Law of Sines states:

a / sin(A) = b / sin(B) = c / sin(C)

The Law of Cosines states:

c^2 = a^2 + b^2 - 2ab * cos(C)

In this case, we are given the lengths of all three sides of the triangle (a = 6.0, b = 7.7, c = 13.6). Therefore, we have enough information to use the Law of Cosines to solve the triangle.

Using the Law of Cosines, we can find the measures of the angles:

c^2 = a^2 + b^2 - 2ab * cos(C)

(13.6)^2 = (6.0)^2 + (7.7)^2 - 2 * 6.0 * 7.7 * cos(C)

184.96 = 36 + 59.29 - 92.4 * cos(C)

184.96 = 95.29 - 92.4 * cos(C)

92.67 = -92.4 * cos(C)

cos(C) ≈ -1

Since the cosine of an angle cannot be greater than 1 or less than -1, it is not possible for the given triangle to have an angle with a cosine of -1. Therefore, the triangle is not solvable with the given side lengths.

In this case, the Law of Cosines is needed, but the triangle cannot be solved with the given information.

Hence, the darkened sector covers an area of roughly \(10.55 km^2\) as circle's radius is 7 km, and the shaded sector's central angle is 154 degrees .

The radii of a circle in geometry is the separation between any two points on the circle's circumference. It is frequently used to describe how far apart two points are. One of a circle's most crucial characteristics is its radius, which is taken into account when calculating a circle's circumference, area, and diameter. The distance around a circle that passes through its centre, or its diameter, is equal to half of its radius. Other shapes like spheres, cylindrical, and cones can also be described using the radius. The radius here means the distance from the shape's centre to any point on its perimeter.

given

The following formula must be used to determine a sector's area:

A = (θ/360)\(\pi r^2\)

where r is the circle's radius, is pi, or roughly 3.14, and is the sector's centre angle, expressed in degrees.

The circle's radius is 7 km, and the shaded sector's central angle is 154 degrees, according to the provided figure. When these values are added to the formula, we obtain:

\(A = (154/360)\pi (7)^2\)

\(= 10.55 km^2\)

Hence, the darkened sector covers an area of roughly \(10.55 km^2\) as circle's radius is 7 km, and the shaded sector's central angle is 154 degrees .

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The complete question is:-  

154 degree

7 km

Find the area of the shaded sector.

A = __ km2

Answer:

\(y=-\frac{4}{5}x-\frac{21}{5}\)

Step-by-step explanation:

The fastest way is to use point-slope form with \(m=-\frac{4}{5}\) and \((x_1,y_1)=(-4,-1)\):

\(y-y_1=m(x-x_1)\\y-(-1)=-\frac{4}{5}(x-(-4))\\y+1=-\frac{4}{5}(x+4)\\y+1=-\frac{4}{5}x-\frac{16}{5}\\y=-\frac{4}{5}x-\frac{21}{5}\)

To graph the line passing through (-4,-1) with slope m = -4/5, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting m = -4/5, x = -4, and y = -1, we can solve for b:

-1 = (-4/5)(-4) + b

-1 = 3.2 + b

b = -4.2

Therefore, the equation of the line is:

y = (-4/5)x - 4.2

To graph the line, we can plot the given point (-4,-1) and then use the slope to find additional points. Since the slope is negative, the line will slope downwards from left to right. We can find the y-intercept by setting x = 0 in the equation:

y = (-4/5)x - 4.2

y = (-4/5)(0) - 4.2

y = -4.2

So the y-intercept is (0,-4.2).

Using this point and the given point (-4,-1), we can draw a straight line passing through both points.

Here is a rough sketch of the graph:

     |

     |

     |     *

     |    /

     |   /

     |  /

-----*--------

     |

     |

     |

     |

     |

The point (-4,-1) is marked with an asterisk (*), and the y-intercept (0,-4.2) is marked with a dash. The line passing through these two points is the graph of the equation y = (-4/5)x - 4.2.

The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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Brooklyn needs to invest $432.43, rounded to the nearest ten dollars.

To determine how much Brooklyn needs to invest in an account that pays a continuously compounded interest rate, we can use the formula:

A = \(Pe^(^r^t^)\)

where A is the future value of the account, P is the principal investment, e is the mathematical constant approximately equal to 2.71828, r is the interest rate, and t is the time in years.

In this case, we want the future value of the account to be $640, the interest rate is 3.5% (or 0.035 as a decimal), and the time is 9 years. We can substitute these values into the formula and solve for P:

640 = \(Pe^(^0^.^0^3^5^*^9^)\)

640 = Pe^0.315

P =\(640/e^0^.^3^1^5\)

P = 432.43

Therefore, to have a future value of $640 in 9 years with a continuously compounded interest rate of 3.5%.

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To answer this question we will use the following formula to compute the surface area of a rectangular prism:

Substituting w=3m, h=2m, and l=9m we get:

Simplifying the above result we get:

Answer: Option D.

The calculated volume of the prism is 702 cubic cm

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

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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