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Answer:

1/6

Step-by-step explanation:

SIX possible rolls    1,2,3,4,5,6

   4 is 1 out of 6      or 1/6

a) Volume of rectangular container:

1 foot = 12 inches

b) Volume of the cylindrical container:

c) First, we convert the volumes of the containers into the same units.

For volume of the rectangular container in centimeters:

1 inch3 = 16.3871 cm3

With this, we can say that the rectangular container has a larger volume than the cylindrical container. Therefore, the cylindrical container is a better buy.

Answer:

a) V = 120 in^3

b) V = 1907.55 cm^3

c) Cylindrical container is a better buy

Answer:

108

Step-by-step explanation:

12×9=108

just for the extra characters

Answer:

108

Step-by-step explanation:

z/12 = 9

z = 9 × 12

z = 108

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The coordinates are made up of an x-​​coordinate and a y-coordinate, written in the form (x, y), the translation given is (x + 1, y - 1), which means adding +1 to all x-coordinates and subtracting -1 to all y-coordinate.

Then, the pair B(0, -4) will be transformed into B'(0 + 1, -4 - 1) → B'( 1, -5)

C( -1, 1) → C' (-1 + 1, 1 - 1) → C'( 0, 0)

D( 1, 3) → D' ( 1 + 1, 3 - 1) → D'( 2, 2)

E( 4, -1) → E' ( 4 + 1, -1 - 1) → E'( 5, -2)

As you can see in the given figure, there are two different shapes.

One is a rectangle and the other is a triangle.

Recall that the area of a rectangle is given by

Where L is the length and W is the width.

As you can see from the figure,

W = 4

L = 5

So the area of the rectangle is

Recall that the area of a triangle is given by

Where b is the base of the triangle and h is the height of the triangle.

As you can see from the figure,

b = 4

h = 2

So the area of the triangle is

Now the total area of the shaded region is the sum of the area of the rectangle and the area of the triangle.

Therefore, the area of the shaded region is 24

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Answer:

that's too easy

4 thousands=4000

12 hundreds=120

4000+120=4120

4 thousands and 12 hundreds

The formula for the area of a triangle is A is;

where x is the first, y the second and z the third

the second gear has 13 more teeth than the first gear

The third gear has 15 more teeth than the second gear

we need solve z form the third equation and solve x from the second equation an replace on the first

replacing

so, the second gear have 35 teeth

Answer:

7, 14, 19, 18, 4, 16, 5, 11, 11, 12

Explanation:

The standard deviation is a statistic that measures the spread of a dataset relative to its mean.

From the given options, find the range in each of them:

• Option 1: Range = 26-22=4

• Option 2: Range=14-10=4

• Option 3: Range=18-14=4

• Option 4: Range = 25-21=4

• Option 5: Range = 19-4=15

We see that the dataset in Option 5 has a far greater range and thus the dataset will have the biggest spread relative to its mean.

Option 5 has the largest standard deviation.

Answer: 0.382 ounces

Step-by-step explanation:

To find the unit rate of the weight of a single cookie, we will use division.

        19.1 ounces per bag / 50 cookies in the bag = 0.382 ounces per cookie

To check our work, we will multiply 0.382 ounces per cookie by 50. Since the bag, with 50 cookies, weighs 19.1 ounces, 0.382 times 50 should equal about 19.1 ounces.

        0.382 ounces * 50 cookies = 19.1 ounces ✓

Given the following sequence:

notice that the common difference between each term is -3, therefore, we can use the explicit formula for a sequence:

we have that the explicit formula is a_n=20-3n, while the recursive formula is:

The given expression fro the sum of n terms:

From the given question we have:

Substitute these value in the expression of sum of n terms

So, sum of 6 terms is 261

Solution:

Two facts about pi π

1) It is an irrational number.

2) It is ancient.

Answer:

1

Explanation:

Given:

To evaluate the expression above, apply the law of indices below.

That is, whenever a number (except 0) is raised to the power of 0, the result is always 1.

Therefore:

Answer:

[tex]f(x)=\frac{5}{6}x+21[/tex]

Step-by-step explanation:

Slope = 5/6

Point = (-18,6)

Using Point-Slope form

y-6=5/6(x+18)

y-6=5/6x+15

y=5/6x+21

:]

The formula for calculating a z-score is

Where:

*x is the raw score

*μ is the population mean

*σ is the population standard deviation

we know that

the total lemonade is 1 1/2 liter

She pours 1/4 of a liter of lemonade into a thermos

Her brother drinks 2/5 of the remaining lemonade

the remaining lemonade is equal to

1 1/2-1/4=3/2-1/4=5/4 liters

Multiply by 2/5

(5/4)(2/5)=10/20=1/2 liter

therefore

answer is option

C. (1 1/2 - 1/4) x 2/5

The answer is: It will be a line.

Answer:

The equation for the value of OU is;

Explanation:

Given that S is the midpoint of segment OU.

Then;

Given in the question;

Substituting the values of OS and SU to get OU;

Therefore, the equation for the value of OU is;

Angle IJL is 54 because congruent angles have equal measure.

What are congruent angles?

Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles, which means they can be acute, obtuse, exterior, or interior angles.

According to question, angle m IKL = 54

And AB// CD and EF// GH

Angle IKL is alternate interior angle to angle HLK

m angle HLK= m angle IKL (congruent angles have equal measure)

m angle HLK= 54

Similarly, m angle IJL = m angle HLK

Hence, angle IJL= 54

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She can make 3.3 pieces from the remaining length

From the question, the given parameters are:

We start by calculating the length of the remaining pieces as a whole

This is calculated as

Length of remaining piece + length used for project = Length of string

Substitute the known values in the above equation

So, we have

Length of remaining piece + 1/4 yard = 3 yards

Subtract 1/4 from both sides

Length of remaining piece = 2.75 yards

The number of pieces is then calculated as

Pieces = Length of remaining pieces/Length of each piece

This gives

Pieces = 2.75 yards/(5/6 yards)

Evaluate the quotient

Pieces = 3.3

Hence, the number of pieces she can make is 3.3

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A graph of which best describes what the proportional relationship would look like is: D. A line passes through the point (0, 0) and continues through the point (12, 3).

In Mathematics, a graph is used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis respectively.

Additionally, a graph that represents a proportional relationship between two variables would always have a straight line with its data points passing through the origin (0, 0).

Since the graph represents a proportional relationship we have:

Constant of proportionality, k = 12/3 = 8/2 = 24/6 = 4

Ratio = 24:6 = 12:3.

Therefore, (0, 0) and (12, 3) are points on this graph that represents a proportional relationship.

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Answer:d

Step-by-step explanation:trust

Answer:

(x+3)(x+7)

Step-by-step explanation:

x2+10x+21

The middle number is 10 and the last number is 21.

Factoring means we want something like

(x+_)(x+_)

We need two numbers that

Add together to get 10

Multiply together to get 21

3 and 7:

3+7 = 10

3*7 = 21

Fill in the blanks in

(x+_)(x+_)

with 3 and 7 to get...

(x+3)(x+7)

Answer: (x+7)(x+3)

Step-by-step explanation:

We need to values that we will add and get 10 and two values we will multiply and get 21 which are 7 and 3

The $456 and $228 Emery owed from the amount she borrowed to buy a new phone after 2 weeks and 5 weeks gives;

a. The original amount owed is $608

b. Emery pays $76 each week

c. The point and slope and slope and intercept both gives the amount Emery pays each week as the slope, while the slope and intercept form further gives the original amount borrowed as the y–intercept, c

A straight line equation is one which expresses a linear relationship between variables

Let y represent the original amount of money Emery borrowed from her brother, and let m represent the amount she pays each week to settle the loan, we have;

The given parameters are;

The amount Emery owes after 2 weeks = $456

The amount Emery will owe after 5 weeks = $228

a. The above information can be expressed by writing the following equations;

456 = y - 2•m...(1)

228 = y - 5•m...(2)

Subtracting equation (2) from equation (1) gives;

y - 2•m - (y - 5•m) = 456 - 228 = 228

3•m = 228

Therefore;

m = 228 ÷ 3 = 76

m = 76

The original amount Emery borrowed, y, from equation (1) is therefore;

y = 456 + 2•m

y = 456 + 2 × 76 = 608

The original amount Emery borrowed, y, is $608

b. The amount Emery pays each week, m = $76

c. The straight line equation in point and slope form is presented as follows;

[tex] y_2 - y_1 = m•(x_2 - x_1) [/tex]

From the above equation, the two points (456, 2) and (228, 5) given in the question can be used to find the slope, m, which is the amount paid each month

The slope and intercept form of a straight line equation is y = m•x + c

From the slope and intercept form, we have;

The slope, m = The amount Emery pays per month

The intercept, c = The original amount Emery borrowed

Therefore, both forms of the straight line equation gives the amount Emery pays each week, while the slope and intercept form also gives the original amount Emery borrowed

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In a 30-60-90 triangle:

so:

Answer:

See below

Step-by-step explanation:

Sum of n = inf    =     a / ( 1-r)       one half of this = 1/2 ( a/(1-r) )

Sum of first 3 terms =   a ( 1- r^n) / ( 1-r)   = a (1-r^3) / (1-r)

The underlined value are equal ( given in the Q)

1/2  a / (1-r)    = a ( 1-r^3) / (1-r)           Multiply both side by ( (1-r) )

1/2 a = a ( 1-r^3)           divide both sides by  a

1/2 = 1- r^3      subtract 1 from both sides

-1/2 = - r^3

1/2 = r ^3

r = cuberoot ( 1/2)  =  1/2 ^(1/3)  =   .793700526

Answer:

If the half-life of a nuclide is 44.5 days, then 178 days is four half-lives.

explanation:

After four half-lives, 0.0625 (0.54) of the original nuclides remains. If 50g is the original mass, then the mass after 4 half-lives is 3.125g.

AT = A0 2(-T/H)

A178 = (50) 2(-44.5/178)

A178 = 3.125

The population is growing at an annual rate of 16.2%

Here, we want to calculate the exponential growth rate

Mathematically, we can write the exponential equation of growth as follows;

Where P is the population after a certain number of years ( 270 after 3 years

I is the initial popultaion which is 200

r is the percentage we want to calculate

t is the number of yeats to reach P which is 3 in this case

To the nearest tenth of a percentage, this is 16.2%