The buidling is 360 feet tall. On a scale drawing. 2 inch =20 feet. What is the height of the building in the scale drawing?

The ratio of the volume of both spheres is: 1/(24√3)

The formula for the volume of a sphere is expressed as:

V = ⁴/₃πr³

where:

r is radius

V is volume

We are told that the radii of the two spheres have a ratio of 1:2√3. Thus:

Volume of sphere A/Volume of sphere B = (1:2√3)³

= 1/(24√3)

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Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

Answer:62.8 units

Step-by-step explanation:

Answer:0.67

Step-by-step explanation:

It should be noted that f(x) is increasing on the intervals (-1/2, 0) and (0, ∞), and decreasing on the interval (-∞, -1/2).

The derivative of f(x) is denoted as:

f'(x) = 2x - 1 - 1/x

It should be noted that to determine the critical points, set f'(x) to equal 0 and solve for x:

2x - 1 - 1/x = 0

Multiplying by x gives:

2x^2 - x - 1 = 0

On the intervals (-1/2, 0) and (0, ∞), the function f(x) exhibits increasing behaviour; in (-∞, -1/2). it's decreasing.

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hi

First, dont keep the equation  this way.  

f(x) = 2 (x+2) +4x

f(x) = 2x+4+4x

f (x) =  6x+4

after :

x= 0        f(x) = 4

x= 2            f(x)= 16

x= 10           f(x) = 64

x = 30          f(x) = 94

Applewood Farmstand sold 102 pieces of apples over the weekend.

Graph is a data structure which consists of nodes (vertices) that are connected with each other. Graphs are used to represent relationships between different objects, such as networks, social connections, and pathways. Graphs are useful for representing data as they can provide a visual representation that is easy to interpret, and can be used to analyse patterns in the data. Graphs can also be used to represent problems such as shortest path problems, and can be used to solve problems such as finding the most efficient route between two points.

The graph shows that apples accounted for 32% of the total fruit sales. To find the exact number of apples sold, we can calculate the following:

Apples = (320 pieces of fruit) x (0.32)

Apples = 102 pieces

Therefore, Applewood Farmstand sold 102 pieces of apples over the weekend.

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The horizontal component of the force is approximately 80.34 N, and the vertical component of the force is approximately 74.62 N.

The force can be broken down into its horizontal and vertical components using trigonometry.

Horizontal component:

cos(42) = adjacent/hypotenuse

adjacent = cos(42) * 110 N

adjacent ≈ 80.34 N

Vertical component:

sin(42) = opposite/hypotenuse

opposite = sin(42) * 110 N

opposite ≈ 74.62 N

Therefore, the horizontal component of the force is approximately 80.34 N, and the vertical component of the force is approximately 74.62 N.

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The distance Ben travels to get to the park is approximately 2.21 times greater than the distance David travels. This is found by using the distance formula to calculate the distances each person travels and then comparing the results.

To solve this problem, we need to find the distance between each person's house and the park using the distance formula

distance = √((x₂ - x₁)² + (y₂ - y₁)²)

For Ben

distance = √((-2 - 4)² + (-2 - 6)²) = √((-6)² + (-8)²) = √(100) = 10

For David

distance = √((-2 - (-7))² + (-2 - (-6))²) = √((5)² + (4)²) = √(41)

So the ratio of Ben's distance to David's distance is

10 / √(41) ≈ 2.21

Therefore, Ben's distance is about 2.21 times greater than David's distance.

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Yes, (3, 5) is a solution to this system of equations.

How do you calculate the equation system?

The system has a single solution if the m-values of the two equations differ. The system has no solution if the two equations have the same m-value but distinct b-values.

Substituting x = 3 and y = 5 into the equations, we get:

y = 5 (which is already given)

y = (-5/3)x + 10

y = (-5/3) * 3 + 10

y = -5 + 10

y = 5

Therefore, both equations are satisfied by the point (3, 5), making it a solution to the system of equations.

Yes, (3, 5) is a solution to this system of equations.

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Answer: The area of circle is 28.26 cm^2

Step-by-step explanation: As the diameter of the given circle is 6 cm, the radius of the same would be 3 cm.

Area of circle = pi r^2

And the value of pi is to be taken 3.14

The area of the given circle is 28.26cm^2.

Answer:

43

Step-by-step explanation:

at the upper horizontal plane the angles add up to 180 degrees so you add the right angle with the 47 degrees and then you subtract the answer from180 degrees.the value you obtain is oppositely equal to the value of x hence,43

Answer: 11

Step-by-step explanation: To find the value of (fog)(-1), we first need to find the value of g(-1), which means plugging -1 into the equation for g(x):

g(x) = x² – 5x - 5

g(-1) = (-1)² – 5(-1) - 5

g(-1) = 1 + 5 - 5

g(-1) = 1

Now we need to find (fog)(x) by plugging g(x) into f(x) and simplifying:

f(x) = -x - 12

fog(x) = f(g(x))

fog(x) = f(x² – 5x - 5)

fog(x) = -(x² – 5x - 5) - 12

fog(x) = -x² + 5x + 17

Finally, we can find (fog)(-1) by plugging -1 into the equation for fog(x):

fog(x) = -x² + 5x + 17

(fog)(-1) = -(-1)² + 5(-1) + 17

(fog)(-1) = -1 - 5 + 17

(fog)(-1) = 11

Therefore, the value of (fog)(-1) is 11.

The volume of the composite solid is  452. 160 ft³

First, it is important to note that the formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Such that the parameters of the formula are;

From the information given,

substitute the values

Volume = 3.14 × 6² × 12/3

Divide the values

Volume = 31.4 × 36 × 4

Multiply the values

Volume = 452. 160 ft³

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There are four significant digits in the number 9.15 x 10⁴.

The digits that provide the number with useful information are known as the important digits.

As they add to the value of the number in this instance, the numbers 9, 1, and 5 are all important.

The exponent, 4, just instructs us on how many places to relocate the decimal point, therefore it has no bearing on the number of significant digits.

Therefore, the number 9.15 x 10⁴ has four significant digits.

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There are no orange M&Ms in the bag, thus there is no probability of picking one.

An event is any subset of the sample space, which is the set of all potential results of a random experiment, according to probability theory. By dividing the number of favourable outcomes by the total number of possible outcomes, the probability of an event is determined.

Classical probability, empirical probability, and subjective likelihood are just a few of the several varieties of probability. Empirical probability is based on actual observations or experiments, as opposed to classical probability, which is predicated on the idea that all events are equally likely. On the other hand, subjective probability is dependent on opinion or conviction.

Picking a yellow M&M has a 4/20 chance, which drops to 1/5.

The likelihood of selecting a blue or green card M&M is the result of adding the odds of selecting a blue and a green:

To reduce to 1/2, 2/20 + 8/20 = 10/20.

The likelihood of choosing an orange M&M is zero because there are no orange M&Ms in the bag.

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The complete question is:

There are currently about 10,361,248 people requesting financial aid, which is an increase of 6.74% from ten years ago.

By reducing the financial barrier, it supports the advancement of your academic and professional ambitions.

Its current number of applications can be determined by multiplying 9,720,000 with 1.0674 (which equals a 6.74% increase)

If there were 9,720,000 people asking for financial help 10 years ago and there have been 6.74 times as many applicants since then. As a result, there are currently 10,361,248 applicants for financial aid, or 9,720,000 x 1.0674.

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Answer:

Work smartly not hard.

Step-by-step explanation:

AI

Answer:

10

Step-by-step explanation:

Replace X with 5

The new equation should be 8×5 divided by 4

Then you would multiply 8×5, which is 40

Now, divided 40 by 4, which is 10.

Therefore 8×5 divided by 4 is 10.

SORRY IF THIS DIDN'T MAKE SENSE!

those attending the party ate 4 1/2 pounds of candy in total.

How to solve the question?

To solve this problem using an array model on graph paper, we can draw a rectangular array with 2 1/4 rows and 3 1/2 columns. Each cell in the array represents a 1/4 pound of candy. The total number of cells in the array will give us the total amount of candy eaten.

To start, we can divide each row into four equal parts to represent 1/4 pound of candy. We can also divide each column into two equal parts to represent 1/2 pound of candy. Then, we can shade in the cells that represent the amount of candy eaten.

Starting with the first row, we shade in two full rows and an additional half row, representing 2 1/2 bags of candy. Then, in the second row, we shade in two full columns and an additional half column, representing 2 1/4 bags of candy.

When we count the total number of shaded cells in the array, we see that there are 18 cells shaded. Each cell represents 1/4 pound of candy, so we can multiply 18 by 1/4 to get the total amount of candy eaten:

18 * 1/4 = 4 1/2 pounds

Therefore, those attending the party ate 4 1/2 pounds of candy in total.

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The circumference of a circle with a radius of 4 is 8π.

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

The circumference of a circle is the distance around a circle or the length of a circle. It is expressed mathematically as;

C = 2πr

Where r is radius and π is constant pi.

Given that the radius of the circle is 4 units.

Plug into the above formula.

C = 2πr

C = 2 × π × 4

C = 8π

Therefore, the circumference is 8π.

Option C) 8π is the correct answer.

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The equations for which 8 is a solution:

are x minus 4 = 4

2 x = 4

StartFraction x Over 8 EndFraction = 1

x + 6 = 2

The equations for which 8 is a solution are:

x - 4 = 4 (if we substitute x=8, we get 8-4=4 which is true)

2x = 4 (if we substitute x=8, we get 2*8=16 which is true)

StartFraction x Over 2 EndFraction = 16 (if we substitute x=8, we get 8/2=4 which is not true)

StartFraction x Over 8 EndFraction = 1 (if we substitute x=8, we get 8/8=1 which is true)

So, the correct answers are:

x minus 4 = 4

2 x = 4

StartFraction x Over 8 EndFraction = 1

x + 6 = 2

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The characteristics of the above quadratic unction y=-0.8x^2 - 4x are given as follows.

The vertex is (5, -22).

The axis of symmetry is x = 5.

The function is increasing when x < 5 and decreasing when x > 5.

The x-intercepts are (-5, 0) and (0, 0).

The domain is all real numbers and positive when x < 0.

The range is (-∞, -22].

The function is negative when x > -5.

The  y-intercept is (0,0).

The function is negative when x is less than -5/2 and positive when x is greater than -5/2.

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It would take about 402.985 gallons of water to fill the fish tank completely.

To calculate the number of gallons of water it would take to fill the fish tank completely, we need to multiply the dimensions of the fish tank in cubic feet by the conversion factor to convert cubic feet to gallons.

Given:

Length = 9 ft

Width = 2 ft

Height = 3 ft

Conversion factor: 1 gallon = 0.134 ft³

Step 1: Calculate the volume of the fish tank in cubic feet

Volume = Length × Width × Height = 9 ft × 2 ft × 3 ft = 54 ft³

Step 2: Convert cubic feet to gallons

54 ft³ × (1 gallon / 0.134 ft³) ≈ 402.985 gallons

So, it would take approximately 402.985 gallons of water to fill the fish tank completely.

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If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.

A mathematical concept known as a vector has both a magnitude and a direction. Physical quantities like force, velocity, and acceleration are represented by it. In the physical sciences, engineering, and computer graphics, vectors are frequently employed. They can also be used to represent abstract concepts like magnitude, directions, and other things.

Here in the question,

(0, 0) is the beginning position. There should be an arrow above each vector name listed below.

Ink a line beginning at (3, -1). A vector has an origin of (0,0) and a destination of (3, -1).

Put a line through points (2,2). The vector B has a start point of (0, 0) and an end point of (2, 2).

These two vectors add up to: a + b = (3-1) + (2,2) = (5,1) when combined.

Whatever order they are in, b + a = (2,2) + (3, -1) = (5,1) regardless.

Either way, the same conclusion is reached.

The terminal point of A + B is at (5, 1).

If the vector is drawn from (0,0) to (5, -1), the outcome vector is drawn.

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The ratio between the number of people who do not enjoy reading and the number of people who do not enjoy playing videogames is given as follows:

3 to 1.

The ratio between two amounts a and b is given as follows:

a to b.

The amounts for this problem are given as follows:

Hence the ratio is of:

9/3 = 3/1 = 3 to 1.

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Answer:

7

Step-by-step explanation:

39) The balance in the account after 6 years is $4,073.62.

40) The balance in the account after 6 years is $4,134.83

What is the formula for compound interest?

[tex]A = P(1 + \frac{r}{n} )^{(nt) }[/tex]

Here P is the principal,A is the balance, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the time in years.

39) Here given that P = $3500, r = 2.16% = 0.0216, n = compounded quarterly = 4 and t = 6.

So, [tex]A = 3500(1 + \frac{0.0216}{4})^{(4 \times 6)} = 4,073.62[/tex]

Therefore, the balance in the account after 6 years is $4,073.62.

40)Here given,P = $3500, r = 2.29% = 0.0229, n = 12 (compounded monthly), and t = 6.

[tex]A = 3500(1 + \frac{0.0229}{12})^{(12 \times 6)} = 4,134.83[/tex]

Therefore, the balance in the account after 6 years is $4,134.83.

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