5. During a field trip, 168 students were
divided into 14 equal groups. How
many students were in each group?

Answer:

4.77 cm correct to the nearest hundredth.

Step-by-step explanation:

The new circumference = 19 - 4 = 15 cm.

Circumference C = π * diameter

So the diameter =  C/π = 15/π = 4.7746 cm

The area bounded by the line y=3x from limits x=0 to x=4 will be 24.

Integration is defined as the adding up all the small units to find the whole unit.

It is given in the question that the line y=3x is making a region in a plane from the limits x= to x=4.

So by integrating the function we will get the area.

[tex]\int\limits^4_0 y=\int\limits^4_0 {3x} \, dx[/tex]

[tex]\int\limits^4_0 y=3 \int\limits^4_0 {x} \, dx[/tex]

[tex]\int\limits^4_0 y=[\dfrac{3x^2}{2}]^4_0[/tex]

[tex]\int\limits^4_0 y= \dfrac{(3\times (4)^2)}{2}[/tex]

[tex]\int\limits^4_0 y= 24[/tex]

hence the region bounded by the line y=3x will have the area of 24 square units.

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Answer:

62.84 m

Step-by-step explanation:

6*3.14 = 18.84

12*2 = 24

10*2 = 20

total: 62.84

The solution is 62.84 m

The perimeter of the figure is P = 62.84 m

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the perimeter of the figure be represented as P

Now , the figure has a semi circle , a square and a triangle

The side of the square = 12m

So , the number of sides of square in the perimeter of the figure = 2 sides

So , perimeter of 2 sides = 2 x 12 = 24 m

Now , the 2 sides of the hypotenuse of the right triangle is also part of the figure , so

perimeter of 2 sides of the triangle = 2 x 10 = 20 m

Now , the total perimeter of figure = perimeter of the semi circle + 24 + 20

Perimeter of semi circle = 2πr / 2

The radius of the circle = 6 m

Substituting the value of r in the equation , we get

Perimeter of the semi circle = ( 2 x 3.14 x 6 ) / 2

Perimeter of the semi circle = 18.84 m

So , the perimeter of the figure P = 18.84 m + 24 m + 20 m

The perimeter of the figure P = 62.84 m

Therefore , the value of P is 62.84 m

Hence , The perimeter of the figure is P = 62.84 m

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Answer:

Step-by-step explanation:

There are 8 common factors of 24 and 48, that are 1, 2, 3, 4, 6, 8, 12, and 24. Therefore, the greatest common factor of 24 and 48 is 24.

Answer:

B. x ≤ 5

Step-by-step explanation:

This is an inequality problem. It can be solved by examining the arrow and the point it closes on. If the arrow is going left, then all values of x are going to be less than the point it closes on. If the arrow is going right, then all values of x are going to be greater than the point it closes on.
If the circle on the point the arrow is closed/shaded in, then that value will be included in the values of x, giving the inequality either a ≤ or ≥ sign depending on which way the arrow is pointing. If the circle on the point the arrow is open, then that value will not be included in the values of x. The sign will be either < or >.

---------------------------------------------------------------------------

For this problem, the arrow is going to the left of 5, which means all values of x are going to be less than 5. Because the circle is closed, that means that number 5 is included, or x can be equal to 5. If the circle was open, it wouldn't be included. So, the inequality is x ≤ 5.

hope this helps!

The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given the spinner has 5 sections, each section is numbered between 1 to 5. Lakima also spins the spinner 6 times and records the results in this list. {2,4,1,5,3,4}. Therefore,

The theoretical probability of spinning an odd number is equal to 3/5.

The experimental probability of spinning an odd number is equal to 3/6=1/2.

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Answer: The theoretical probability of spinning an odd number is equal to 3/5. The experimental probability of spinning an odd number is equal to 1/2. Therefore, the theoretical probability of spinning an odd number is GREATER THAN  the experimental probability of spinning an odd number.

Step-by-step explanation:

Answer:

Function 2 shows a greater rate of change, because Edwin spends $9 each month and Adam spends $7 each month.

I found this out because for Adam, you simply subtract the y-coordinates from each other and get 7 each time. Edwin clearly shows that he Spends $9 each month with the negative sign.

Step-by-step explanation:

Answer:

Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.

Step-by-step explanation:

Function 1

Money remaining in Galvin's money box:

[tex]\begin{tabular}{| c | c |}\cline{1-2} Number of Months (x) & Amount Remaining (in \$) (y)\\\cline{1-2} 1 & 80\\\cline{1-2} 2 & 75 \\\cline{1-2} 3 & 70 \\\cline{1-2} 4 & 65 \\\cline{1-2}\end{tabular}[/tex]

We can calculate the rate of change by using this formula:

[tex]\textsf{rate of change}=\dfrac{\textsf{change in y}}{\textsf{change in x}}[/tex]

[tex]\implies \textsf{rate of change}=\dfrac{75-80}{2-1}=\dfrac{-5}{1}=-5[/tex]

Therefore, The rate of change of function 1 is -5 which means that Galvin spends $5 per month.

Function 2

Money remaining in Henry's money box:  

[tex]\sf y = -7x+80[/tex]

This is represented as a linear equation: y = mx + b
(where m is the slope or "rate of change" and b is the y-intercept of "initial value)

Therefore, the rate of change of function 2 is -7 which means that Henry spends $7 per month.

Conclusion

Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.

Answer:

The third comment is the true one: "If I know the measures of angles C and B, I can find the measures of A and D."

This is because you can use the angle B to find angle A by subtracting it from 180, and you can find angle D by adding together C and B and subtracting that from 180.

I hope this helps!

Step-by-step explanation:

Answer:24

Step-by-step explanation:

5 grams per cubic centimeter

If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8. Then the number of the different ways to make ice cream will be 96.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

If you choose 1 scoop of ice cream from 12 flavors and any 1 topping from a choice of 8.

Then the number of the different ways to make ice-cream sundaes will be

Let x be the number of the ways.

[tex]\rm x = \ ^{12}C_1 \times ^8C_1\\\\x = 12 \times 8\\\\x = 96[/tex]

Then the number of the different ways to make ice cream will be 96.

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Answer:

G 328 ft

Step-by-step explanation:

[tex] \cos(angleBAC) = \frac{AB}{AC} [/tex]

[tex] \cos(55°) = \frac{AB}{400} [/tex]

AB = 229.431 ft

AB² + BC² = AC²

229.431² + h² = 400²

h = 327.659 ft ≈ 328 ft

HOPE THIS HELPS AND HAVE A NICE DAY <3

Answer:

41 degrees

Step-by-step explanation:

Angles in a triangle add to 180 degrees, so angle A is 180-108-31=41 degrees.

There are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it, to show that both sides of the shape are exactly the same.

The given figure will become symmetrical when 3 red Hexagones, 3 blue triangles and 5 orange rectangle added to the right portion.

Hence there are 3 red Hexagones, 3 blue triangles and 5 orange rectangles needed to complete the symmetry of the given figure.

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Answer:

4 bottles of green paint.

Step-by-step explanation:

2/3 x 5/1 = 10/3 = 3 1/3

Answer:

g(1) = 0

=

lgn= ) +m

g(n) = g(n - 1) +n

=

-

n

g(2) =12

Step-by-step explanation:

12345678910

Answer:

put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).

a. 9 is located to the right of -6

b. use the symbol >

Step-by-step explanation:

Answer:

1440.1 in^2

Step-by-step explanation:

I drew a picture with work; hopefully this is the equation you're using in the lesson.

Answer:

A

Step-by-step explanation:

Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is

9 - 4 = 5

Answer:

Scott is 21 his brother is 14

Step-by-step explanation:

you know that scott is 7 years older than his unknown variable brother, so use what is given and form an alegbraic expression 2x+7=35

Given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area and circumference  of a circle is expressed mathematically as;

Where A is area, C is circumference, r is radius and π is constant pi.

Given the data in the question;

First, we determine the radius of the circle.

24π cm = 2πr

r = 24π cm / 2π

r = 12cm

Now, we find the area.

A = πr²

A = π × (12cm)²

A = π × 144cm²

A = 144πcm²

Therefore, given the value of the circumference of the circle, its area in terms of constant pi is 144πcm².

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Answer:

B, C, E

Step-by-step explanation:

the dependent variable depends on the independent variable

thus, p is dependent on t, p is the dependent variable, and t is the independent variable (B)

every month, Gloria paints 2 pieces

each month, t is increased by 1, and p is increased by 2 (C)

every month, Gloria paints 2 pieces

2 pieces every month = (2*t) pieces  = total pieces = p (E)

Answer:

A roll of quarters from the bank is worth $10 and weighs almost exactly half a pound, so 200 pounds works out to $4000.

Answer:

Rectangular prism

Triangular prism

part 2

When the rectangular prism is cut across the opposite diagonals, then the shape formed would be a triangular prism shape

Step-by-step explanation:

Answer: Right triangle

Step-by-step explanation: There is a 90 degree angle diagonal from the hypotenuse

Answer:

right triangle

Step-by-step explanation:

if you double the triangle, it becomes a rectangle

Answer:

she spends 50 hours with her baby and 30 hours on math

Step-by-step explanation:

80/2 = 40

Since baby needs to be 10 more you do 40+10 = 50

and 80 - 50 = 30

Hence the answer

at least i think

The value of x that is the data point farthest from the line of best fit is 3

The given parameters are:-

x      Residual

3         -5

5         -1

7          3

9          0

Take the absolute value of the residuals

x      Residual

3         5

5         1

7         3

9         0

The largest absolute value is 5

Hence, the value of x that is the data point farthest from the line of best fit is 3

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Answer:

answer is 3

Step-by-step explanation:

The surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

Box A:

Box B:

Volume : surface area

64 : 160 = 27 : x

64/160 = 27/x

64 × x = 160 × 27

64x = 4,320

x = 67.5 square inches

Therefore, the surface area of a similar box given the ratio of volume to surface area of first box is 67.5 square inches

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