PROBLEM SOLVING Bicycles in the late 1800s looked very different than they do today. a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.

Answer:

Step-by-step explanation:

I think is x-1

It is because you need to find f(1) and the formula of x-1 when x is greater and equal to 1.

Answer:

To solve the problem, we can use multiplication. We know that one classroom took 254 photos and the other classroom took 15 times as many pictures. So, we can write an equation to represent the situation:

Number of photos taken by Advocacy Project for Homeless Pets classroom = 254 x 15

We can then solve this equation using multiplication.

254 x 15 = 3810

Therefore, the Advocacy Project for Homeless Pets classroom took 3,810 photos.

The area of each of the missing faces is 40 m².

The length of each of the missing faces is 10 m.

The missing dimension is 10 m by 4 m.

Area is the region bounded by a plane shape.

To calculate the area of each missing face, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

And the length of each of the missing edge can be calculated using the formula below

Formula:

Where:

From the diagram in the question,

Given:

Substitute into equation 2

Hence, the length is 10 m.

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Answer:

Step-by-step explanation:

Firms 1's structure is in the form of the cylinder. So the formula used for the calculation of the enclosed space or volume of the cylinder is:

Volume of the cylinder = πr²h               .........(i)

where r = radius of the structure

Diameter(d) = 70ft

Given r = 70/2 = 35ft

h = Height of the structure

Given h = 60ft

By substituting the values of radius (r) and height (h) in equation (i), we get

V = π(35)²(60)ft³

V = 3.14(35)(60)ft³

V = 6597.345ft³

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The only prism with a volume between 10 and 20 cubic inches is Prism C, which has a volume of 16 cubic inches.

To find the volume of each prism, we need to use the formula of volyume for prisms which is: Volume = Base Area x Height. Now we will go ahead to find the volumes for all the prisms as follows:

Prism A:

Base Area = 4 x 5 = 20

Height = 2

Volume = 20 x 2 = 40 cubic inches

Prism B:

Base Area = 3 x 4 = 12

Height = 3

Volume = 12 x 3 = 36 cubic inches

Prism C:

Base Area = 4 x 4 = 16

Height = 1

Volume = 16 x 1 = 16 cubic inches

Prism D:

Base Area = 4 x 4 = 16

Height = 6

Volume = 16 x 6 = 96 cubic inches

So, the prism whose volume falls between 10 to 20 is the third prism.

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a. The difference between the high and the low prices on October 20 was $3.33.

b. The actual volume of Discovery Group shares posted on October 27 was 23,600.

c. The closing price for Discovery Group on October 19 was $38.50

The percentage decrease is calculated below as follows:

closing price on October 19 = $38.50

the opening price on October 20 = $37.22

the percentage decrease in prices = (37.22 - 38.50) / 38.50

the percentage decrease in prices = -3.33% to the nearest hundredth

e. The net change =  $32.00 - $38.50

The net change = -$6.50.

The percentage change = (-6.50 / 38.50) * 100

The percentage change  = -16.9% to the nearest tenth percent

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The volume of the cone in terms of π is 288π cubic meters, which corresponds to option (c) in the given answer choices.

The formula for the volume of a cone is:

V = (1/3)πr^2h

where V is the volume, r is the radius, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3)π(6 m)^2(24 m)

V = 288π m^3

Therefore, correct option is C.

This is because π is an irrational number that cannot be expressed as a finite decimal or fraction, so any approximation would be less precise than the exact value in terms of π.

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The exponential function that represents the data in the table is given as follows:

y = 3(2)^x.

The standard definition of an exponential function is given as follows:

y = a(b)^x.

In which the parameters are given as follows:

From the table, when x = 0, y = 3, hence the parameter a is given as follows:

a = 3.

When x is increased by one, y is multiplied by 2, hence this is an exponential function and the parameter b is given as follows:

b = 2.

Hence the function is defined as follows:

y = 3(2)^x.

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Answer:

1) 1.5 meters

2) 75° or (5/12)π radians

3) A = (5/12)πr^2

4) A = (5/12)π(1.5^2)

= 15π/16 square meters

= about 2.95 square meters

Answer:

a = -2 b = -3

Step-by-step explanation:

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Step-by-step explanation:

To find the number that is 175% of 31, we can use the following formula:

175% of X = 31

Mathematically, we can represent 175% as 1.75 (since percentage is a ratio out of 100).

So, the equation becomes:

1.75 * X = 31

To solve for X, we divide both sides of the equation by 1.75:

X = 31 / 1.75

Using a calculator, we can evaluate the right-hand side to find the value of X:

X ≈ 17.714

So, 175% of approximately 17.714 is equal to 31.

Answer:

17.714

Step-by-step explanation:

The percentage of total classmates that have 2 siblings is calculated as follows:

Percentage = number of students with 2 siblings / total number of students x 100%.

Before obtaining the percentage, we must obtain the proportion, which is given by the division of the number of desired outcomes by the number of total outcomes, as follows:

number of students with 2 siblings / total number of students.

Then the percentage is obtained multiplying by 100%, as follows:

Percentage = number of students with 2 siblings / total number of students x 100%.

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Answer: A Rectangular prism 

The smallest rational number among all the given numbers is equal to 0.2345678.

The rational number are equal to,

-√5 , (1/4), √25 , -√27 , 0.2345678

First simplify each of the given numbers we have,

√5 is an irrational number,

so it is not rational.

1/4 is a rational number.

√25 = 5,

which is a rational number.

-√27 = -3√3,

which is an irrational number, so it is not rational.

0.2345678 is a rational number.

Arrange the rational number in ascending order to get the smallest rational number .

Value of 1/4 = 0.25

0.2345678 < 0.25 < 5

Therefore, the smallest rational number among the given options is 0.2345678.

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So, the area of the shape is 164.4 square meters.

In geometry, area is the measure of the size of a two-dimensional surface or region. It is the amount of space inside the boundaries of a flat object such as a polygon, circle, or rectangle. Area is measured in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), square inches (in²), and so on. To calculate the area of a shape, you typically need to use a specific formula depending on the type of shape, such as base times height for a triangle, or length times width for a rectangle.

Here,

The area of the shape is equal to the sum of the areas of these smaller pieces. We can calculate each area as follows:

The area of the rectangle on the left is 4m x 8.4m = 33.6 square meters.

The area of the rectangle on the right is 8m x 11.4m = 91.2 square meters.

The area of the triangle on the top is (8.4m x 4m) / 2 = 16.8 square meters.

The area of the triangle on the bottom is (11.4m x 4m) / 2 = 22.8 square meters.

Therefore, the total area of the shape is:

33.6 + 91.2 + 16.8 + 22.8 = 164.4 square meters

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The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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The Complement of a 14° angle is 76°, while the supplement of 14° angle is 166°.

Recall that two angles that have a sum of 90 degrees are referred to as complementary angles. This implies that, if x is an angle, its complement is (90 - x).

Also, the supplement of an angle is the angle measure that is added to it to make it 180 degrees. This implies that if x is an angle, its supplement would be (180 - x).

Therefore, we have:

Complement of a 14° angle = 90 - 14 = 76°.

Supplement of 14° angle = 180 - 14 = 166°.

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A polygon with n sides is simply referred to as an n-gon.

A polygon with n sides is simply referred to as an n-gon. This naming convention allows for any polygon to be easily identified based on the number of sides it has, without the need for a specific name for every possible number of sides.

For example, a polygon with 3 sides is called a triangle, a polygon with 4 sides is called a quadrilateral, while a polygon with 5 sides is called a pentagon. However, for polygons with sides greater than 12, the names become less commonly used, and n-gon is often used instead as a general term to describe any polygon with n number of sides.

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A polygon with a number of sides, n, that does not have a special name is typically referred to as an "n-gon".

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges. Vertex or corners refer to the intersection of two line segments, where an angle is created. Having three sides makes a triangle a polygon. A circle is a plane figure as well, but it isn't regarded as a polygon because it's curved and lacks sides and angles. So, while all polygons are two-dimensional shapes, not all two-dimensional figures are polygons.

For example, a polygon with 5 sides would be called a pentagon, but a polygon with 7 sides would simply be called a heptagon or a 7-gon.

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The number of outcomes that are in the sample space = 20

The number of outcomes that are in the event = 5

To calculate the probability of an event, the formula that should be used is given as follows;

Probability = possible event/sample space.

possible outcome = 5

sample space = 20

Probability = 5/20 = 1/4

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Answer:

Rebecca and Brian each have 40 batteries, making a total of 80 batteries.

Step-by-step explanation:

Rebecca:

Rebecca has 4 packs of batteries, and if each one contains 10 batteries, then she has 40 batteries.

Brian:

Brian also has 4 packs of batteries, each one contains 10 batteries, so he also has 40 batteries.

In total, they have a combined 80 batteries.  hope this helps ;)

a) i) The pressure on the ground by snowshoe hare is 0.07 N/cm².

ii) The pressure on the ground by European hare is 0.15 N/cm².

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet.

a) The pressure on the ground can be calculated by dividing the force on the ground due to weight by the total surface area of the feet.

i) For the snowshoe hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 14 N / 200 cm²

Pressure = 0.07 N/cm²

ii) For the European hare, the pressure on the ground is:

Pressure = Force on ground / Total surface area of feet

Pressure = 38 N / 250 cm²

Pressure = 0.15 N/cm²

b) The snowshoe hare is suited to living in snow because it has a larger surface area of feet than the European hare and exerts less pressure on the ground. This allows the snowshoe hare to move more easily over the snow without sinking.

Additionally, the snowshoe hare has fur on the soles of its feet, which provides additional insulation against the cold snow. These adaptations help the snowshoe hare survive in its snowy environment by allowing it to move and find food more easily.

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Six and forty-seven thousandths.

or six point zero four seven.

the answer depends on what you have to write.

Hope this helps!

Answer:

57

Step-by-step explanation:

2 X 2 = 4

4 X 8 = 32

32 + 25 = 57

If in a rectangular-prism, the length is doubled, width is tripled and height is same, then the volume of new rectangular prism will be 6 times the original-prism.

The "Volume" of a 3-D object is defined as the amount of space that object occupies in three-dimensional space. It is a measure of the total capacity or size of the object

Volume of a rectangular prism is ⇒ Volume = Length × Width × Height,

If the length of the rectangular prism is doubled, the new length would be 2 times the original length.

If the width is tripled, the new width would be 3 times the original width, and

If the height remains the same, it would be the same as the original height.

Let the original length be = "L",  width be = "W", and height be = "H",

So, New Length = 2L , New Width = 3W, New Height = H (remains unchanged),

So, volume of new rectangular prism is :

⇒ New Volume = (New Length)×(New Width)×(New Height),

⇒ (2L) × (3W) × H

⇒ 6LWH

Therefore, volume of "new-rectangular prism' is 6 times volume of  original rectangular prism.

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Answer: A and D as for angle 24 deg, we are using the sin=opp/hyp and for angle 66 we are using cos=adj/hyp.

To find angle 66, you just subtract all 180 by the angles we know. 180-24-90.

Answer:

2l + 2w = 24, so l + w = 12

A(l) = l(12 - l)

The measure of angle C is 80°

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle. It can also be called inscribed quadrilateral.

A theorem if circle geometry states that the opposite angles of a cyclic quadrilateral are supplementary. This means the sum of. opposite angles of a cyclic quadrilateral is 180°

Therefore 3x-59+2x-1 = 180

5x -60 = 180

5x = 180+60

5x = 240

x = 240/5

x = 48

angle A = 2x+4 = 2×48+4

= 100°

therefore angle C = 180-(angle A)

C = 180-100

= 80°

therefore the measure of angle C is 80°

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Answer:

[tex]4\frac{1}{5} cups[/tex]

Step-by-step explanation:

Let's start by setting up a ratio for the recipe.

First, rewrite 2 and 4/5 as an improper fraction.

[tex]2\frac{4}{5} = \frac{14}{5}[/tex]

We know that for every 2/3 cup of flour, we need 14/5 cups of sugar. So, our ratio will be:

[tex]\frac{2}{3} :\frac{14}{5}[/tex]

We want to find how many cups of sugar we'd need for 1 cup of flour. Let s represent the cups of sugar. Let's set up another ratio (flour to sugar):

[tex]1:s[/tex]

Now, since you're following the same recipe, let's set the ratios equal to make a proportion, like so:

[tex]\frac{2}{3} :\frac{14}{5} =1:s[/tex]

Multiply the means and extremes, set their products equal, and solve.

[tex]\frac{2}{3}s=\frac{14}{5}*1=\\s=\frac{3}{2} *\frac{14}{5} =\\s=\frac{21}{5}[/tex]

Let's turn 21/5 into a mixed number.

[tex]\frac{21}{5} =4\frac{1}{5}[/tex]

So, if you used one cup of flour, you would need [tex]4\frac{1}{5}[/tex] cups of sugar.

Answer:

B

Step-by-step explanation:

Its easy

Answer: Perimeter of semi-circle πr + 2r

Area of semi-circle πr2/2

Step-by-step explanation:

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