Daisy has a box of sea glass that has a mass or 1 1/2 kilograms.the box has a mass of 235 grams when it is empty. What is the mass of the sea glass in grams?

My own multi-step combination problem is given below:

To solve this problem, Amanda  need to use the formula for combinations and it is:

nCr = n! / (r! x (n-r)!)

where:

n = total number of items to select from

r is the number of items to select.

First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:

5C3

=  5! / (3! x (5-3)!)

= 10

Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be

4C2

= 4! / (2! x  (4-2)!)

= 6

Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:

3C2

= 3! / (2! x  (3-2)!)

= 3

To have the total number of dinner menus, we have to multiply these three numbers together:

= 10 x 6 x 3

= 180

Therefore, one can say that Amanda have 180 different dinner menus that she can be create.

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Answer:

depends on the ammount

Step-by-step explanation:

The domain and the range of the function are

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

The graph

The graph is a piecewise function

When combined gives an absolute function

The rule of a function is that

The domain is the set of all real numbers

This means that the input value can take all real values

However, the range is greater than the constant term

In this case, it is 0

So, the range is y > 0

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Question

The graph represents the piecewise function:

f(x) =

What is the domain and range of the function

Answer:

No

Step-by-step explanation:

Given point ,

Substitute ,

Answer:

No

Step-by-step explanation:

Substitute the x- coordinate into the equation and if the value equals the y- coordinate then it makes the equation true.

y = - 7(5) = - 35 ≠ 4

Thus (5, 4 ) does not make the equation true

Answer:

Slope-intercept form: y=3/4x+3

Slope:3/4

y-intercept: (0,3)

Slope of line perpendicular: -4/3

Slope of line parallel: 3/4

Hope this helps!!

y=3/4x+3

the slope for the line perpendicular is the inverse negative slope which would be -4/3x

put in the original slope for the slope and the y-i is (0,3)

any line with the same slope would be parallel (i.e 3/4)

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.

If the body of the mass (m) is moving with a velocity (v), then the body possesses the energy which is known as kinetic energy. The SI unit of the kinetic energy is Joule. Then the formula is given as,

KE = 1/2 x mv²

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec is given as,

KE = 1/2 x 1500 x 31²

KE = 720,750 Joule

KE = 720 kJ

The kinetic energy of a 1500 kg pick-up truck traveling at 31.0 m/sec will be 720 kJ.

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Given:

The expression is

\(-6-(-2)\)

To find:

The solution of given expression on the number line.

Solution:

We have,

\(-6-(-2)=-6+2\)

\(-6-(-2)=-4\)

So, the solution is -4.

Start from point 0, then use arrow to jump on -6 then use another arrow to jump 2 units right, as (-)(-)=(+) and positive sign means jump towards positive direction.

On the number line,

1. An arrow pointing from 0 to negative 6.

2. Another arrow pointing from negative 6 to negative 4.

Therefore, the correct option is A.

Answer:

what he say yeah

Step-by-step explanation:

Answer:

200ft of rope

Step-by-step explanation:

1^infinity = 1

Thus :

r = 1

______________________

r ( r + 2 )^prime =

1 × ( 1 + 2 )^1 =

1 × 3^1 =

1 × 3 =

3

Answer:

.75 or 3/4

Step-by-step explanation:

One's that look sort of like this usually telescope when we write as partial fractions and expand a bit

So let's write as partial fractions

1/(r(r+2))=a/r+b/(r+2)

1=a(r+2)+br

If r=-2, then 1=b(-2) which implies b=-1/2

If r=0, then 1=a(2) which implies a=1/2

So 1/(r(r+2))=1/2(1/r-1/(r+2))

Let's expand the series a bit to see what's going on

1/2[1-1/3+1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+1/6-1/8+1/7-1/9.....]

So everything in the bracket is "canceling" except 1+1/2 which equals 3/2

So we have

1/2[3/2]

3/4

0.75

The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

The measure of side FG is 3.

Step-by-step explanation:

Dilation is a process in which the dimensions of a given shape or figure is either increased or decreased by a scale factor to produce its image.

From the given question,

scale factor = 5

measure of side F'G' = 15

Thus,

scale factor = \(\frac{measure of side F'G'}{measure of side FG}\)

side F'G' = scale factor x side FG

⇒ 15 = 5 x side FG

So that,

side FG = \(\frac{15}{5}\)

             = 3

The measure of side FG is 3.

Answer:

a.) each line segment represents a length of 1/8

b.) N = 3/8

c.) -3/8

Step-by-step explanation:

a.) In order to find the interval / length of each line segment, simply count how many line segments there are until you reach one whole integer. Basically, start on one number and count how many sections until the next number.

So for this example, let's start counting from the number 0. From 0 to the next number, 1, there are a total of 8 sections from 0 to 1, so they're each split up into 1/8s.

b.) Count each line as 1/8 from 0 to N to get what N represents. So from 0 to N, there are 3 lines/portions, so N is 3/8 because 1/8 + 1/8 + 1/8 = 3/8

c.) Just put a negative sign in front of N to get the opposite

9514 1404 393

Answer:

Step-by-step explanation:

Formula:

To solve the formula for height, multiply both sides by the inverse of the coefficient of h.

  \(\left(\dfrac{3}{\pi r^2}\right)\cdot V=\left(\dfrac{3}{\pi r^2}\right)\cdot\left(\dfrac{\pi r^2}{3}\right)\cdot h\\\\\boxed{h=\dfrac{3V}{\pi r^2}}\)

__

Height:

Fill in the given values and do the arithmetic.

  \(h=\dfrac{3\cdot 32\pi\text{ cm$^3$}}{\pi(4\text{ cm})^2}=\boxed{6\text{ cm}}\)

Answer:

(-4, -3) y (3, -5)  

{-12 y, 15 y}

-12 y + 15 y = 3 y

(3 y)/2

3 sqrt(41) abs(y)

Answer:

7x+10

Step-by-step explanation:

2x(3x)+1x(x+10)

6x+1x+10

7x+10

Answer:

See explanation.

Step-by-step explanation:

13. (4*5)/2 = 10

14. 5*7=35 7-3=4 8-5=3 (4*3)/2 = 6 35+6 = 41

15. 3*4 = 12

16. (4*4)/2 = 8 8*4=32 4*2=8 16*8=128 128-32 = 96

Let me know if you want me to better explain how I solved any of these.

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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Answer:

m=3

y(-2/3, 2)

Step-by-step explanation:

Step-by-step explanation:

Speed =  distance / time    

  you are given distance = 23 miles  and time = .5 hr

      distance / time =  23 miles / .5 hr =   46 mph

Answer:

976thousand

Step-by-step explanation:

Answer: 36

Step-by-step explanation: The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

The standard form for finding the equation of a circle is expressed as;

(x-a)^2 + (y-b)^2 = b=r^2

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following

diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have (x-0)^2 + (y-3)^2 = 6^2 equivalent to x²+ (y-3)² = 36

The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

13.1 (3sf)

Step-by-step explanation:

14 ^2 - 5^2 = 171

root 171 = 13.1 (3sf)

Answer:

x = 13.08 ft

Step-by-step explanation:

We need to use pythagoras theorem as this is a right angled triangle:

\(a^2 + b^2 = c^2\)

As we do not know one of the sides, we need to change the subject of the equation to either a or b:

\(b^2 = c^2 - a^2\)

Substitute the values in:

\(b^2 = 14^2 - 5^2\)

\(b^2 = 196- 25\\b^2 = 171\\\)

Now square root both sides to find b:

\(\sqrt{b^2} = \sqrt{171}\)

b = \(\sqrt{171}\)

b = 13.08

x = 13.08 ft

Hope this helps!

Answer:

-1<x<9

(I think you notated it wrong, it should be |x-4|-2<3)

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

From the information, Maria practiced the piano for 2 1/2 hours last week and 1 3/4 hours this week.

Therefore, the number of hours that Maria practiced in the past 2 weeks will be:

= 2 1/2 + 1 3/4

= 2 2/4 + 1 3/4

= 4 1/4 hours

The number of hours that Maria practiced in the past 2 weeks will be 4 1/4 hours.

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