c. Write an equation to represent the number of Calories in any number
of grams of trail mix.

The expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .

In the question ,

it is given that

the composite figure has a cylinder and two hemisphere , one at top and other at bottom,

Formula for  Volume of Cylinder = πr²h ,where ,

r and h are radius and height of cylinder .

,

volume of Hemisphere = (2/3)πr³

where , r is the radius .

given the diameter of cylinder = 20

hence ,the radius of the cylinder = 10

and height of the cylinder = 28

So , the volume of cylinder = π(10)²(28)  ...(i)

since half sphere is stacked on the top and the bottom of the cylinder

the radius of sphere is also = 10

So, the volume of the one Hemisphere = (2/3)π(10)³    

the volume of the two Hemisphere = 2*(2/3)π(10)³

                                                          = (4/3)π(10)³     ....(ii)

The Volume of the composite figure = volume of cylinder + volume of the two Hemispheres

Substituting the values from (i) and (ii) , we get

Volume of the composite figure = π(10)²(28) + (4/3)π(10)³

Rewriting we get

= (4/3)π(10)³ + π(10)²(28)

in words , it is

= (Four-thirds)π(10)³ + π(10)²(28)

Therefore , the expression that represents the Volume , of the composite figure is (Four-thirds)π(10)³ + π(10)²(28) , the correct option is (a) .

The given question is incomplete , the complete question is

A cylinder is shown. A half-sphere is stacked on the top and the bottom of the cylinder. The diameter of the cylinder if 20 and the height of the cylinder is 28.

Which expression represents the volume, in cubic units, of the composite figure?

(a) (Four-thirds)π(10)³ + π(10)²(28)

(b) (Four-thirds)π(20)³ + π(20)²(28)

(c) 2(Four-thirds)π(10)³ + π(10)²(28)

(d) 2(Four-thirds)π(20)³ + π(20)²(28)

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Answer:

Option A

Step-by-step explanation:

EDGE

Jenna thought of the number 49, square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.

Squares are the results of multiplying a number by itself. For example, 3 3 = 32 = 9 is the square of 3.

Cubes are the results of multiplying a number by itself three times, i.e. three times. For example, the cube of 3 is 3 3 3 = 33 = 27.

There are some perfect cubes that also happen to be perfect squares. For example, 64 is a perfect square and cube number because 82 equals 64 and 43 equals 64.

Let the the square number be x

and the cube number be y

There are only 4 possible cube numbers between 1 to 100 that is

1, 8, 27 and 64

now we need to check if

x - y = 15

let 64 be x

64 - y = 15

y = 64 - 15

y = 49

Lets see if 49 is square or not

√49 = 7

Thus, y = 49

Therefore, Jenna thought of the number 49 square of seven and less than 100 and Doug thought of 64 which is less than 100 and cube of 4.

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The slope between the scuba diver and fish would be; 0.5 .

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

Given that boat is located a sea level. A scuba diver is given as 80 feet along the surface of the water from the boat and 30 feet below the water surface.

A fish is given as 20 feet along the horizontal plane from the scuba diver and 10 feet.

We are asked to slope between the scuba diver and fish.

The Horizontal distance between diver and fish = 20 feet.

Fish below the scuba diver = 10 feet

Slope between scuba diver and fish is :

Tan Ф =10/20

Tan Ф = 0.5

Therefore, the slope between the scuba diver and fish would be; 0.5 .

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Using the uniform distribution, it is discovered that there is a 0.625 = 62.5% chance that a randomly picked passenger will have to wait longer than 2.25 minutes.

The boundaries of a uniform distribution are a and b.

The likelihood of discovering a value greater than x is:

P(X > x) = (b - x)/(b - a)

In this problem, the time is equally distributed between 0 and 6 minutes, so.

a=0

b=6

P(X > 2.25) is the probability of a time larger than 2.25 minutes, so:

P(X > x) = (6 - 2.25)/(6 - 0) = 0.625

A randomly picked passenger has a 0.625 = 62.5% chance of waiting longer than 2.25 minutes.

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Answer: Its B Glad to help

Step-by-step explanation:

Answer:

They all work at $13.5 an hour, so they all are payed $270 for 20 hours of work

Step-by-step explanation:

Answer:

good luck give other guy branilest

Step-by-step explanation:

The most appropriate choice for reflection will be given by-

New image of (2, 3) after reflection about y = -x is (-3, -2)

What is reflection?

Reflection of a figure about a line is a transformation in which a mirror image of the figure can be obtained over the line.

The line is called the line of reflection.

When point (x, y) is reflected about y = -x, the new coordinate will be (-y, -x)

So,

New image of (2, 3) after reflection about y = -x is (-3, -2)

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Given expression

As given

Its solution will be,

For x=2, it will be,

This is the answer.

Coordinates of Point B is (-3 , 1)

To find Coordinates :

M is midpoint of AB

Coordinates of A  is (7,-2)

Coordinates of M is (2,0)

Let the coordinates of B are (x,y)

To find coordinates of B :

[tex]\frac{x + 7}{2} = 2[/tex]                                      [tex]\frac{y + (-2)}{2}= 0[/tex]          

x + 7 = 4                                 y+ (-1) = 0

x =  - 3                                    y = 1

coordinates of B is (-3 , 1)

Definition of coordinate :

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Given:

The expression is,

Simplify the expression,

Answer: option G

The  values of the given numbers when it is rounded up to the nearest 10 thousands are:

Rounding up can be described as the process that is been used in the mathematics which is been used in the estimation of a particular number in a context.

It should be noted that in rounding the  a number up, it is required to look at the next digit at the right hand of the given figures in a case whereby the digit is less than 5,the digit can be rounded down, but in the case whereby the digit is more that 5 then it can be rounded up .

From the given values, we are given the 990,201 and 159,994  and if this were to rounded up to the nearest 10 thousand then we will start from the right hand sides and round down the values less than 5 and round up the values that is more that 5. and their values will be 990000

and 150000.

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The values are, x = 287° and x = 82°

The external angle is the angle formed by any side of an object and a line that runs from another side.

An interior angle is the shape that results from joining the two rays at their terminal. An internal angle is the angle inside a shape. A polygon is a closed shape with sides and vertices.

If this angle is one, the total exterior angle is 360 degrees.

and if the angle is inside, enter 180 degrees.

I'm taking this given angles i.e, (7x+7)° and (2x+2)° as an exterior angle to solve for x.

Now, (7x+7)° + (2x+2)° = 360°

7x + 7 + 2x + 2 = 360°

9x + 9 = 360°

9(x + 1) = 360

x + 1 = 360 / 9

x + 1 = 40

x = 39

We get x = 39, now put these x value to find the angle

(7x+7)°               |           (2x+2)°            

(7 * 39 + 7)°       |           (2 * 39 + 2)°

280°                 |          80°

Hence, the  values are, x = 287° and x = 82°

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Using the angle and segment addition postulates, the measures are:

a. m<TSM = 95°

b. m<SIJ = 93°

c. SR = 12 units

d. PQ = 10 units

The angle addition postulate states that two smaller angles have a sum of measure that is equal to the larger angle they form.

Similarly, the segment addition postulate states that two smaller segments that make up a larger segment have a sum that equals the length of the larger segment.

a. m<TSM + m<MSR = m<TSR [angle addition postulate]

Substitute

32x - 1 + 48 = 48x - 1

Solve for x

32x + 47 = 48x - 1

32x - 48x = -47 - 1

-16x = -48

x = -48/-16

x = 3

m<TSM = 32x - 1 = 32(3) - 1

m<TSM = 95°

b. m<HIS + m<SIJ = m<HIJ [angle addition postulate]

Substitute

x + 40 + 2x + 93 = 133

3x + 133 = 133

3x = 133 - 133

3x = 0

x = 0/3

x = 0

m<SIJ = 2x + 93 = 2(0) + 93

m<SIJ = 93°

c. x + 14 + x + 15 = 23

2x + 29 = 23

2x = 23 - 29

2x = -6

x = -3

SR = x + 15 = -3 + 15

SR = 12 units

d. -6 + 2x + 2x - 4 = 22

-10 + 4x = 22

4x = 22 + 10

4x = 32

x = 32/4

x = 8

PQ = -6 + 2x = -6 + 2(8)

PQ = 10 units

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Answer:

0.006

Step-by-step explanation:

Multiply 0.006 by 10.

0.006 x 10 = 0.06

Answer = 0.006

Hope this helps!

Btw, could I get Brainliest? Thanks!

Answer:

7000 degree per second.

Step-by-step explanation:

To convert degree per millisecond to degree per second, multiply the angle/time value by 1000.

[tex]7 \ degree \ per\ millisecond = 7*1000 \ \dfrac{degrees}{second}[/tex]

                                       = 7000 degrees per second.

Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.

Step-by-step explanation:

As given in the problem statement the volume

V = s3----- (1)

And

s = 4x2 + 3--------(2)

Hence,

the volume is obtained by substituting (2) in (1).

We get,

V = (4x2 + 3)3

= 64 x6 + 144x4 + 108x2 + 27

Therefore,

the volume of cube is 64 x6 + 144x4 + 108x2 + 27

Investment X gives a greater amount of $50.40 over a period of two years

Investment X:

Principal amount invested = $6000

Time in years = 2 years

Rate of interest = 4.5%

Type of interest: Simple

Finding the interest using the formula for simple interest:

Simple interest = P*R*T/100

where P = principal invested

R = rate of interest

T = time in years

Substituting the values we get:

Simple interest = 6000*4.5*2/100

= $540

Investment Y:

Principal amount = $6000

Time in years = 2 years

Rate of interest = 4%

Finding the interest using the formula

Compound interest = P(1+r/100)^n - P

where P = principal amount invested

r = rate of interest

n = number of years

Substituting the values in the formula we get:

Compound interest = 6000(1+4/100)^2-6000

= (6000*1.0816)-6000

=$489.6

So, the difference in amount = 540-489.6 = $50.40

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A recent survey on movies found that 1 out of 6 students likes comedy films. The probability that individuals will like comedies is equal to one in six.

This is further explained below.

Generally, If there are a total of 90 people, then the number of people who like comedic films is equal to 90 divided by 6, which is 15.

If there are a total of 180 people, then the number of people who like comedic films is equal to 180 divided by six, which is 30. If there are 270 people in total, then the number of people who like comedic films is equal to 270 divided by six, which is 45.

If there are a total of 360 individuals, then the number of persons who like comedic films is equal to 360 divided by six, which is 60.

Let the x-axis show the total number of persons, and let the y-axis show: The number of persons who like comedic motion pictures are shown along the y-axis.

In conclusion, The following will be the function: f(x) equals six times the total number of persons, where x is the total headcount.

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The value of x will be 1.

What is Line segment?

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

Point D is lie on the between C and E.

The value of CD = 4x

The value of DE = 19x - 12

The value of CE = 11

Now,

Since, D is lie is between C and E.

So, We can formulate;

CD + DE = CE

Substitute all the values, we get;

⇒ 4x + (19x - 12) = 11

Solve for x;

⇒ 4x + (19x - 12) = 11

Combine like term;

⇒ 23x - 12 = 11

Add 12 we get;

⇒ 23x = 11 + 12

⇒ 23x = 23

Divide by 23, we get;

⇒ x = 1

Therefore, The value of x will be 1.

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Let

x -----> number of liters of 10% acid solution

y ----> number of liters of 70% acid solution

so

we have that

x+y=90 ------> x=90-y -----> equation 1

Remember that

10%=10/100=0.10

70%=70/100=0.70

20%=20/100=0.20

so

0.10x+0.70y=0.20(90) ------> equation 2

Solve the system of equations

substitute equation 1 in equation 2

0.10(90-y)+0.70y=0.20(90)

solve for y

9-0.10y+0.70y=18

0.60y=18-9

0.60y=9

y=15

Find out the value of x

x=90-y

x=90-15=75

therefore

the answer is

By using the formula for the slope of a line that passes through two points, we will get that the slopes are:

a)  3

b)  -2

c) -1.5

d)  -4

e) 1/4

For a line that passes through two points (x₁, y₁) and (x₂, y₂), the slope is given by the formula:

a = (y₂ - y₁)/(x₂ - x₁)

So we will use that for each of the given pairs.

a) The first pair is (3, 2) and (5, 8), so the slope is:

a = (8 - 2)/(5 - 3) = 6/2 = 3

b) The pair is: (-2, -7) and (-4, -3), so the slope is:

a = (-3 + 7)/(-4 + 2) = 4/-2 = -2

c) The pair is (1, -6) and (-2, -4) so the slope is:

a = (-4 + 6)/(-2 - 1) = 2/-3 = -3/2 = -1.5

d)  The pair is (4, -8) and (-2, 16) so the slope is:

a = (16 + 8)/(-2 - 4) = 24/-6 = -4

e) The pair is (-5, 10) and (7, 13) so the slope is:

a = (13 - 10)/(7 + 5) = 3/12 = 1/4

We found all the slopes for the lines that pass through the given pairs of numbers.

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Answer: Infinitely many

The answer is infinitely many

This is because if the sides are parallel, the other measurements must be the same. They can be any measurement

The correct graphs of the puzzles/problems are

1 - B

2 - A

3 - E

4 - D

5 - C

The correct code is BAEDC.

Graphical Representation in Mathematics

It helps to study the relationship between two variables where it helps to measure the change in the variable amount with respect to another variable within a given interval of time. It helps to study the series distribution and frequency distribution for a given problem.

The correct graphs of the puzzles/problems are

1 - B

2 - A

3 - E

4 - D

5 - C

Therefore the correct code is BAEDC.

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The linear equation representing the earnings of someone is y=$71.50x.

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

It is given that x is the number of hours worked, and y is the total amount of money earned.

So, the rate of earning will be the ratio of total earnings to the total number of hours.

So, the rate of earning= y/x dollars per hour

It is given that someone earns $71.50 an hour.

So, the rate of earning= $71.50

Put the value of the earning rate in terms of x and y to obtain a linear equation.

y/x=$71.50

y=$71.50x

So, the linear equation representing the earnings of someone is y=$71.50x.

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The y-intercept is (0, -3)

The y-intercept is the point where the line on the graph cuts the y-axis.

To find the y-intercept, we let x equal to zero and solve for y.

y = -3 - 7x                   (given equation)

Substitute x = 0 in the equation,

y = -3 - 7(0)

y = -3 - 0

y = -3

Thus we can conclude that the y-intercept for the given equation y = -3 - 7x is (0, -3).

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Answer:

The answer is A) 5.

Answer:

so 9+8 is 17 and 17 - 12 is 5

following a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] , we get  [tex]16 \frac{3}{8}[/tex]

According to the question, given that

Mixed numbers

[tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex]

⇒ [tex]\frac{87}{8} + (\frac{25}{2} - 7 )[/tex]

⇒  [tex]\frac{87}{8} + \frac{25}{2} - 7[/tex]

⇒ [tex]\frac{87 + 100 - 56}{8}[/tex]

⇒ [tex]\frac{131}{8}[/tex]

⇒ [tex]16 \frac{3}{8}[/tex]

Therefore, after solving a mixed number [tex]\frac{87}{8} + (\frac{75}{6} - \frac{21}{3} )[/tex] ,  we get  [tex]16 \frac{3}{8}[/tex]

A whole number plus a proper fraction are combined to form a mixed number. Mixed numbers, commonly referred to as mixed fractions, make it easier for us to comprehend numbers.

A whole number and a legal fraction make up a mixed number. A mixed number like [tex]3\frac{1}{4}[/tex] is one where 1/4 is the correct fraction and 3 is the whole number portion. It should be emphasized that once mixed numbers are transformed into an incorrect fraction, they are simple to add, subtract, multiply, and divide.

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8.3 x is the distance from the base of the wall to the bottom of the ladder

Using the sum of the areas of three intersecting squares, the Pythagorean Theorem shows how to get the side lengths of a right triangle. This theorem is an extremely useful technique that forms the basis for more complicated trigonometry concepts like the inverse of the Pythagorean theorem.

To determine the undiscovered side of a right-angled triangle, utilize the Pythagoras theorem. The hypotenuse (third side) of a right-angled triangle, for instance, can be determined using the formula c2 = a2 + b2, where 'c' stands for the hypotenuse and 'a' and 'b' are the two legs.

In two dimensions, the Pythagorean Theorem is helpful for navigation. You may calculate the shortest distance using it and two lengths. The two legs of the triangle will be north and west, and the diagonal will be the shortest line separating them. Air navigation can be done using the same ideas.

Therefore,

x =8.3 feet

Detailed explanation:

13² = 10² + x² according to the Pythagorean Theorem.

169 - 100= 69

69 = x²

8.3 = x

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A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Friday:

Number of lemonade sold = [tex]8\frac{5}{6}[/tex]

Saturday:

Number of lemonade sold = [tex]2\frac{5}{6}[/tex] times of Friday

The number of lemonade sold on Saturday:

= [tex]2\frac{5}{6}[/tex] x [tex]8\frac{5}{6}[/tex]

= 17/6 x 53/6

= 901/36

= [tex]25\frac{1}{36}[/tex]

Thus,

The number of pitchers of lemonade sold on Saturday is [tex]25\frac{1}{36}[/tex].

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