what is the value of 3cubed

Step-by-step explanation:

If a perfect die is cast, the probability of obtaining a 5 is 1/6.

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Answer: 4

Step-by-step explanation: use pick’s theorem to solve.

I+B/2-1.

We can substitute the variables with our information from the graph:

0+10/2-1=5-1=4 that’s the answe

Hope this helps

So if we think of a test tube, it looks sort of like a cylinder. This means that its cross-section would be a circle. To find out how many turns a piece of thread would make around the test tube, we need to find the circumference of the test tube, then divide the length of the string by the circumference.

Step 1) Find the circumference

C = pi x diameter

C = 3.14 x 3

C = 9.42

Step 2) Divide the length of the string by the circumference

90.42 / 9.42 = 9.5987

The string would make approximately 9.60 turns around the test tube.

Hope this helps!! :)

x = 64°

Step-by-step Explanation

x = 1/2[(360° - 2*58°)-2*58°]

x = 1/2[(360° - 2*58°) - 2*58°]

x = 1/2[(360° - 116°) - 116°]

x = 1/2[244° - 116°]

x = 1/2[128°]

x = 64°

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

Answer:

66666699999

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Since a and b form a straight line, they will add to 180 degrees

Two angles that add to 180 degrees are supplementary angles

Answer:

1) $10b

2) 20

3) $5a

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

Answer:

y= 1

Step-by-step explanation:

A circle forms a sphere only when it goes around a straight line throughout the center so y= 1 because it's (1,0).

The y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

It is given that the circle is on a coordinate plane with the centre at 1 on the y-axis.

It is required to find around which line would the following cross-section need to be revolved to create a sphere.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the centre of a circle).

We have a circle on the coordinate plane the centre of the circle lies on the y-axis at 1.

On y=axis the value of x is zero ie. x= 0

The centre of the circle = (0,1)

If a half-circle revovle around the axis which is dividing the circle into two halves.

As we can see in the graph the y-axis and y=1 divide the circle into two halves.

Thus, the line y = 1 is the axis around which the circle cross-section needs to be revolve to create a sphere.

Learn more about circle here:

brainly.com/question/11833983

Answer:

[tex]\boxed{-25x-y}[/tex]

[tex]\boxed{-p^2q +5pq^2}[/tex]

Step-by-step explanation:

[tex](-15x+6y)-(10x+7y)[/tex]

Distribute negative sign.

[tex]-15x+6y-10x-7x[/tex]

Combine like terms.

[tex]\boxed{-25x-y}[/tex]

[tex]2pq(p+q)- (3pq(p-q))[/tex]

Expand brackets.

[tex]2p^2 q+2pq^2 -(3p^2q-3pq^2)[/tex]

Distribute negative sign.

[tex]-3p^2q+3pq^2+2p^2q+2pq^2[/tex]

Combine like terms.

[tex]\boxed{-p^2q +5pq^2}[/tex]

Answer:

Step-by-step explanation:

a.

[tex] - 15x + 6y - (10x + 7y)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 15x + 6y - 10x - 7y[/tex]

Collect like terms

[tex] - 15x - 10x + 6y - 7y[/tex]

[tex] - 25x - y[/tex]

b.

[tex]2pq(p + q) - 3pq(p - q)[/tex]

Factor out pq from the expression

[tex]pq(2(p + q) - 3(p - q))[/tex]

Distribute 2 through the parentheses

[tex]pq \: (2p + 2q - 3(p - q)[/tex]

Distribute -3 through the parentheses

[tex]pq \: (2p + 2q - 3p + 3q)[/tex]

Collect like terms

[tex]pq( - p + 5q)[/tex]

Hope this helps...

Best regards!!

Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

Answer:

Money in her purse is Rs. 500.

Step-by-step explanation:

Let the money in her purse = Rs. [tex]x\\[/tex]

Let the money in her Money box = Rs. [tex]y[/tex]

As per question statement,

[tex]2x+y=1700[/tex]  ........ (1)

[tex]3x+y=2200[/tex] ....... (2)

To find: Money in her purse = ? i.e. [tex]x=?[/tex]

Let us solve for [tex]x[/tex] using the two linear equations.

We can use substitution method here i.e. find value of one variable from one equation and then substitute that value in other equation.

Using equation (1), we get the value of [tex]y[/tex] as follows:

[tex]y=1700-2x[/tex]

Now, let us put this value of y in equation (2) to find the value of [tex]x[/tex]:

[tex]3x+1700-2x=2200\\\Rightarrow x+1700 = 2200\\\Rightarrow x=2200-1700\\\Rightarrow x = Rs.\ 500[/tex]

Money in her purse is Rs. 500.

Answer:

A. [tex] 3 {}^{9} [/tex]

Step-by-step explanation:

[tex]3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9} [/tex]

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{3^9}[/tex]

Step-by-step explanation:

[tex]3^5 \times 3^4[/tex]

Apply the law of exponents : [tex]a^b \times a^c = a^{b+c}[/tex]

The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.

[tex]3^{5+4}[/tex]

[tex]3^9[/tex]

Answer:

2

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( -4 - -2)/ ( 2-3)

    = ( -4+2)/( 2-3)

    = -2/ -1

    = 2

Answer:

1040

Step-by-step explanation:

Answer: The number is 1040.

Step-by-step explanation:

The question says 12.5% of a number is 130 so we can represent it by the equation.

12.5% * x = 130   where x is the number.Solve for x

12.5% * x = 130   convert 12.5% to a decimal

0.125 * x = 130

0.125x = 130   Divide both sides by 0.125

x= 1040  

Check.  

1040 * 12.5% = 130

Answer:

0

Step-by-step explanation:

Please check attachment for complete solution

Answer:

D. 0

Step-by-step explanation:

last option

Answer:

7x-1

Step-by-step explanation:

i did the test

Answer:

7x-1

Step-by-step explanation:

correct answer on edge

Answer:

109 cm³

Step-by-step explanation:

Let the radius of semi-circle be r, then side of the cube is 2r and the height of the solid is also 2r

The circumference of the semi-circle can be calculated as:

Then we can find the value of r:

The volume of the combined solid is the sum of volumes of the cube and the semi-cylinder:

Answer:

12x^3 + 12x^2y + 15xy - 18x

Step-by-step explanation:

I simply expanded the equation by multiplying everything in the parentheses by 3x.

Answer:

12x^3+12x^2y+15xy-18x

Step-by-step explanation:

3x (4x^2 + 4xy + 5y - 6)

Distribute

3x *4x^2 +3x* 4xy + 3x*5y -3x* 6

12x^3+12x^2y+15xy-18x

Answer:

[tex]-8y^{25}\\-9y^6\\5y^5[/tex]

Step-by-step explanation:

First one.

[tex]((-y)^5)(8y^{20})=-y^5*8y^{20}=-8y^{5+20}=-8y^{25}[/tex]

Second one

[tex]((-y)^{5} )(9y)=-y^5*9y=-9y^{5+1}=-9y^6[/tex]

and last one

[tex]((-y)^5)(-5)=-y^5*(-5)=5y^5[/tex]

Answer:

[tex] Area = 400.4 m^2 [/tex]

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

[tex] \frac{u}{sin(U)} = \frac{w}{sin(W)} [/tex]

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

[tex] \frac{29}{sin(33)} = \frac{w}{sin(34)} [/tex]

Cross multiply

[tex] 29*sin(34) = w*sin(33) [/tex]

Divide both sides by sin(33) to make w the subject of formula

[tex] \frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)} [/tex]

[tex] \frac{29*sin(34)}{sin(33)} = w [/tex]

[tex] 29.77 = w [/tex]

[tex] UV = w = 30 m [/tex] (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

[tex] area = \frac{1}{2}*u*w*sin(V) [/tex]

[tex] = \frac{1}{2}*29*30*sin(113) [/tex]

[tex] = \frac{29*30*sin(113)}{2} [/tex]

[tex] Area = 400.4 m^2 [/tex] (to nearest tenth).

Answer:

see attached diagram

Step-by-step explanation:

1.  1 and 70 are angles on a line (supplementary)

2. vertical angles with 70

3. angles on a line are supplementary

4. 2 and 4 are supplementary interior angles between parallel lines m & n

5. corresponding angle with 70

Answer:

11

Step-by-step explanation:

Prime factor: 43659 = 3*3*3*3*7*7*11

Pair: √43659 = √3²×3²×7²×11

11 is odd therefore 11 must be divided by 43659

I guess the answer is D because it is the most far from -1 rather than the other

Answer: The answer should be D.-0.5

Answer:

60 mph

Step-by-step explanation:

Let 'S' be the velocity of the southbound car and 'E' be the velocity of the eastbound car. The distances traveled by each car are:

[tex]D_E=3E\\D_S=3S=3(E+15)\\D_S=3E+45[/tex]

The distance between both cars is given by:

[tex]D^2=D_S^2+D_E^2\\225^2=(3E+45)^2+(3E)^2\\50,625=9E^2+270E+9E^2+2,025\\18E^2+270E-48,600=0\\[/tex]

Solving the quadratic equation for the velocity of the eastbound car:

[tex]18E^2+270E-48,600=0\\E^2+15E-2,700\\E=\frac{-15\pm\sqrt{15^2-4*1*(-2,700)}}{2}\\E=45.0\ mph[/tex]

The velocity of the southbound car is:

[tex]S=E+15=45+15\\S=60\ mph[/tex]

The southbound car is driving at 60 mph.

Answer:

-5z^3-z^4+4z^5

Answer:

4 batches

Step-by-step explanation:

1/3=2/6, 2/3=4/6

Answer:

The answer is no.

Step-by-step explanation:

The questions does no specify how many people are watching the movies each week.

Hoped this helped you out a bit! :)