How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
A block has a length of one-third, height of 1, and width of 1.
2
3
6
9

Answer:

3

Step-by-step explanation:

First, plot the graph of the function

and the graph of the line

This line intersects the graph of the function f(x) at 4 different points. So, there are 4 different values for b at which

Only 3 of them have positive values.

At these positive values, f(x)=2 (because the graph of the function and the graph of the line y=2 intersect at these points), then for these three b with positive values,

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

Step-by-step explanation:

We have,

x = 3y - 3 ---> x - 3y = -3 ------(1)

5x + 4y = 23 -----(2)

Multiplying eq. (1) by 5:

5x - 15y = -15 ------(3)

5x + 4y = 23

Subtracting (1) from (3):

-19y = - 38

y = 2

therefore, x - 6 = -3

x = 3

Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards

Multiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.

In this problem, we will need to use of some mathematical operators to solve the problem

1.

He currently has 216 cards, but he needs 15 sets of cards.

1 set of card = 72 cards

Let's calculate the number of sets he currently has.

1 set of card = 72 cards

x set = 216 cards

cross multiply both sides and solve for x.

x * 72 = 216 * 1

x = 216 / 72

x = 3 sets

He currently has 3 sets of cards.

Since he wants 15 sets of cards, we will need 12 more set of cards.

The number of cards can be calculated by multiplying 12 by 72

Number of cards = 12 * 72 = 864

He needs 864 more cards.

2.

1 set of card = $27

1 set = 72 cards

But she's bringing $9 to join, we can calculate the ratio of cards she will get.

1 / 27 = x / 9

x = 9 / 27

x = 1/3

She will get 1/3 of the cards bought which will be

72 * 1/3 = 24 cards

She will get 24 cards

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Answer:

Number of girls shorter than [tex]60[/tex] inches are [tex]301[/tex].

Step-by-step explanation:

Given: The heights of the population of girls in an Arlington, NY school follows a normal distribution.

Mean[tex]=63[/tex]

Standard deviation[tex]=2[/tex]

Total number of girls[tex]=450[/tex]

Now using the formula,

Standard normal variant, [tex]z=\frac{x-mean}{standard deviation}[/tex]

Now, substitute the values and replace [tex]x[/tex] by [tex]60[/tex]

So. [tex]z=\frac{60-63}{2}[/tex]

[tex]z=-\frac{3}{2}[/tex] or [tex]-1.5[/tex]

Now, probability of girls shorter than [tex]60[/tex] inches

[tex]p(z>-1.5)=0.668[/tex]              look up the value in the normal distribution table

Therefore, number of girls shorter than [tex]60[/tex] inches

[tex]=0.668[/tex]×[tex]450[/tex]

[tex]=301[/tex]

Step-by-step explanation:

[tex] \frac{{x}^{2} \times \sqrt{3}}{4} [/tex]

for x=8, area=16*root(3)

Answer:

Let's find the height:

Half of 8 is 4.

4^2 + 8^2 = 80

80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80

Your new height is 8.944.

8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2

Formula of area of a triangle:

B(base)H(height) x 1/2(basically just dividing by 2)

In this case 8 is your base and 8.944 is your height.

Answer:

I only see one raffle, but the expected value of one ticket is $2. (I think)

Step-by-step explanation:

Have a nice day!

The expected value E(x) of 1 ticket is $0.40.

To calculate the total amount by the formula;

Amount = Ticket x Value

Raffle 1

Given;

Tickets  = 800

Value = $2 per ticket

Grand ticket = $450 ...for 1

consolation =$100.. for 2

We need to find the expected value of each ticket;

First, we have to calculate the total amount of the 800 tickets

Amount = Ticket x Value

Amount = 800 x 2

Amount = 1600

Next, we have to calculate the total amount of the prizes

Amount = Ticket x Value

Amount = 450 x 200

Amount = 650

The expected value E(x) of 1 ticket is calculated:

E(x) = 650 / 1600

E(x) = $0.40

Thus, the expected value E(x) of 1 ticket is $0.40.

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Answer:

-0

Step-by-step explanation:

Answer:

A. (4, 18)

Step-by-step explanation:

The "y" coordinate of the midpoint will be equal to the average of the y coordinates of the endpoints, and the x coordinate of the midpoint will be equal to the average of the x coordinates of the endpoints, and so we get that...

The x coordinate of the midpoint = (5 + 3) / 2 = 8 / 2 = 4

The y coordinate of the midpoint = (21 + 15) / 2 = 36 / 2 = 18

So the right answer is A (4, 18)

Answer:

The answer is 3

Step-by-step explanation:

I hope this help you!! I'm sorry If it wrong..

Have a nice day! <3

Answer:A and C

Step-by-step explanation:

saw the answers

83.2 square feet is the area of the figure.

A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a cone with radius 3 ft and height 5 ft.

We need to find the area of cone=A=πrl+πr²

where l is √r²+h²

A=πr(r+√r²+h²)

=π×3(3+√3²+5²)

=3π(3+√34)

=3×3.14(3+5.83)

=3×3.14(8.83)

=83.2 square feet

Hence, 83.2 square feet is the area of the figure.

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Answer:

1.875 sec

Step-by-step explanation:

Let h(t) = 180

180 = -16t^2 - 2t + 240

16t^2 + 2t - 60 = 0

2(8t^2 + t - 30) = 0

2(t + 2)(8t - 15) = 0

t = -2  or t = 15/8= 1.875 sec

Note:  time cannot be negative, so -2 is disregarded

The time is taken by the rock to reach the height of 180 feet is 1.875 sec

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The solution will be:-

Let h(t) = 180

180 = -16t²- 2t + 240

16t² + 2t - 60 = 0

2(8t² + t - 30) = 0

2(t + 2)(8t - 15) = 0

t = -2  or t = 15/8= 1.875 sec

Therefore the time is taken by the rock to reach the height of 180 feet is 1.875 sec

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Answer:

Step-by-step explanation:

Total surface area comprises of two bases and 3 faces:

Answer:

Solution given:

length=10in

again

base=2√{1.5²-1.3²)=1.49

Total surface area =lateral surface area +2 curved surface area

=perimeter of triangle ×length +2×1/2 base×height

=(1.49+1.5+1.5)×10+1.3×1.49=46.837in²

Answer:

It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.

To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.

To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.

For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:

f(0) = 10 = a(0)^2 + b(0) + c

f(2) = 15 = a(2)^2 + b(2) + c

f(4) = 18 = a(4)^2 + b(4) + c

Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.

I hope this helps! Let me know if you have any questions or need further assistance.

Step-by-step explanation:

Answer:

Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.  

Step-by-step explanation:

The solution to the geometric progression are

a) The geometric progression converges , r = 0.1

b) The geometric progression converges , r = 0.2

c) The geometric progression diverges , r = 5

d) The geometric progression converges , r = 0.2

e) The geometric progression diverges , r = 5

f) The geometric progression converges , r = 0.2

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A geometric progression is said to converge if the common ratio r lies between -1 < r < 1

So , If -1 < r < 1, the geometric sequence converges

a)

The geometric progression is A = 0.3 + 0.03 + 0.003 + ...

The common ratio r = second term / first term

The common ratio r = 0.03 / 0.3

The common ratio r = 0.1

So , -1 < r < 1 and the GP converges

b)

The geometric progression is A = 0.25 + 0.05 + 0.01 + ...

The common ratio r = second term / first term

The common ratio r = 0.05 / 0.25

The common ratio r = 0.2

So , -1 < r < 1 and the GP converges

c)

The geometric progression is A = 0.23 + 1.15 + 5.75 + ...

The common ratio r = second term / first term

The common ratio r = 1.15 / 0.23

The common ratio r = 5

So , r > 1 and the GP diverges

d)

The geometric progression is A = 0.75 + 0.15 + 0.03 + ...

The common ratio r = second term / first term

The common ratio r = 0.15 / 0.75

The common ratio r = 0.2

So , -1 < r < 1 and the GP converges

e)

The geometric progression is A = 0.00025 + 0.00125 + 0.00625 + ...

The common ratio r = second term / first term

The common ratio r = 0.00125 / 0.00025

The common ratio r = 5

So , r > 1 and the GP diverges

f)

The geometric progression is A = 128,750 + 25,750 + 5,150 + ...

The common ratio r = second term / first term

The common ratio r = 25,750 / 128,750

The common ratio r = 0.2

So , -1 < r < 1 and the GP converges

Hence , the geometric progression is solved

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Answer:

120°

Step-by-step explanation:

The total sum of the interior angles of a decagon is 1440°

Answer:

Its in standard form I think. Y intercept is 0,0

Step-by-step explanation:

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

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Answer:

53° and 37°

Step-by-step explanation:

x + (x - 16) = 90

2x - 16 = 90

2x = 106

x = 53

x = 53

x - 53 = ?

90 - 53 = 37

53 - 37 = 16

Answer:

y= 3

Step-by-step explanation:

when y = 5 x= 36

because y = 1[tex]\sqrt{x}[/tex]

so y = 1+ 4

so y= 5

so when x= 4

y = 3

9514 1404 393

Answer:

Step-by-step explanation:

║u║ = √((-2)²+3²) = √13

║w║ = √(4²+(-1)²) = √17

u·v = (-2)(4) +(3)(-1) = -8-3 = -11

Then the formula for cos θ gets filled in as ...

  [tex]\cos\theta=\dfrac{-11}{\sqrt{13}\cdot\sqrt{17}}\\\\\theta=\arccos{\left(-\sqrt{\dfrac{121}{221}}\right)}\approx\boxed{93^{\circ}}[/tex]

Answer:

x = 25.5 degrees

Step-by-step explanation:

x is part of an isosceles triangle.

Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.

That leaves 51 for the rest of the angles, which we have to divide by 2.

51 / 2 = 25.5 degrees

Answer:

-0.3999... = -⅖

-0.393939... = -13/33

Step-by-step explanation:

Only ones I could think of.

Answer:

-39/100

Step-by-step explanation:

The amount and numbers are 1. $217.25, 2. $710, 3. $790.25 and 4. 167.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number

1. Cost of a paperback = 25 cents = $0.25

Cost of a hardcover book = $1.25

There were 54 paperbacks and 163 hardcover books sold.

Money library raised = (0.25 × 54) + (1.25 × 163) = $217.25

2. Cost for round trip airfare = $398.60

Cost of room per night = $115.70

Cost of room for two nights = 2 × $115.70 = $231.40

Cab fare from airport to hotel = $40.00

Total fare from airport to hotel and the return = 2 × $40.00 = $80.00

Total cost = $398.60 + $231.40 + $80.00 = $710

3. Total working hour of Paula = 48 hours

Earning for first 35 hours = $14.50/h × 35

                                          = $507.50

Remaining hours = 48 - 35 = 13 hours

Earning for next 13 hours = ($14.50/h × 1.5) × 13

                                          = $282.75

Total earnings =  $507.50 + $282.75 = $790.25

4. Number of cards Will has = 26

Number of cards Liam has = 19

When they combine, total cards = 26 + 19 = 45

When father also shared, total number of cards = 3 × 45 = 135

Number of cards Nestor has = 4 × 8 = 32

Total number of cards = 135 + 32 = 167

Hence all the questions are cleared using multiplication as one of the basic operations.

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Answer:

(-2, 1)

Step-by-step explanation:

−2x + 3y = 7

y = 3x + 7

Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.

-2x + 3y = 7

-2x + 3(3x + 7) = 7

-2x + 9x + 21 = 7

7x = -14

x = -2

Now substitute x in the second equation with -2 and solve for y.

y = 3x + 7

y = 3(-2) + 7

y = 1

Answer: (-2, 1)

Answer:

7) 35/22

8) 45/22

9) 7/5

10) 41/45

The fraction of the teacups that are either indigo or orange is 7/12.

A fraction refers to a part of a whole number.  It is a proportional value.

A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.

In a proper fraction, the numerator is smaller than the denominator.  This is not the case with improper fractions where the numerator is larger than the denominator.

There are complex, proper, and improper fractions.

The fraction of teacups that are indigo = 1/3

The fraction of teacups that are orange = 1/4

The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)

Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.

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Surface Area : Volume = 6 : s

A cube is a 3-D solid shape, which has 6 faces. A cube is one of the simplest shapes in three-dimensional space. All the six faces of a cube are squares, a two-dimensional shape.

Surface Area of a Cube = 6a² in a square units

Volume of cube = a³ cubic units

where a is the side length of the cube.

Given length of the cube = s

Surface Area of cube A = 6s²

Volume of cube V = s³

Ratio between Surface Area and volume:

Surface Area / Volume = 6s² / s³

Surface Area / Volume = 6 / s

Surface Area : Volume = 6 : s

Hence the ratio between Surface area and volume of cube is 6 : s.

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