The population of a city began with 1500 people. After 5 years, the population grew to 3000 people.

The amount of liquid that the larger cup holds more than the smaller cup would be =3.14cm³

To calculate the volume of the cylindrical cups, the formula for volume of cylinder should be used an it is given below as follows;

Volume of cylinder = πr²h

For smaller cup;

radius = 4cm

height = 5cm

volume = 3.14×4×4×5

= 251.2cm²

For the larger cup;

radius = 3cm

height= 9cm

volume = 3.14×3×3×9

= 254.34

The difference between the two cups = 254.34 -251.2 = 3.14cm³

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Answer: 45T + 55S +102 + 96= Combined income

Step-by-step explanation:

The function of C(d) in the given inverse function is determined as C(d) = (d - 3)/10

option A.

The inverse of the given function is calculated by applying the principle of inverse of functions as follows;

let C(d) = 10d + 3

The inverse of the function is calculated as follows;

C = 10d + 3

make d the subject of the formula;

10d = C - 3

d = (C - 3)/10

Now replace, C with d;

C = (d - 3)/10

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Step-by-step explanation:

To calculate the value of Elia's share in the business, we need to multiply the company's worth by the fraction representing Elia's ownership.

Here's the calculation:

(2/5) * $157,000 = $62,800

So, the value of Elia's share in the business is approximately $62,800.

Answer:

His share is 62800 dollars

Step-by-step explanation:

You would divide 157000 by 5 and then multiply your answer by 2.

Answer:

perimeter = 12.72 cm

Step-by-step explanation:

an equilateral triangle has 3 congruent sides

the perimeter is the sum of the 3 sides , that is

perimeter = 4.24 + 4.24 + 4.24 = 12.72 cm

Note that the  the probability that both spins result in the same color is 0.28

Probability of getting ...


red on both spins = (1/5) x   (1/5) = 1/25

yellow on both spins = (1/5) x  (1/ 5) =  1/25

blue on both spins = (1/5) x  (1/5 =  1/25

pink on both spins = (2/5)x (2/5) =  4/25

So the total   probability of getting the same color in both spins is computed as        

= 1/25 + 1/25 +  1/25 +  4/25

= 7/25 or 0.28

So the correct asnwer is 0.28 or 7/25

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The length of BD is equal to 9 units.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since C is the midpoint of line segment BD, we can logically deduce the following relationship:

Line segment BD = Line segment BC + Line segment CD

By substituting the given line segments into the equation above, we have the following:

Line segment BD = 4 + 5

Line segment BD = 9 units.

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The sine of an angle 0 in the third quadrant is -0.5. So the value of cos∅ is -√(3)/2.

In the third quadrant, both sine and cosine are negative. We know that the sine of ∅ is -0.5, so we can use the Pythagorean identity to find the cosine of ∅:

sin²(∅) + cos²(∅) = 1

Substituting -0.5 for sin(∅), we get:

(-0.5)² + cos²(∅) = 1

Simplifying:

0.25 + cos²(∅) = 1

cos²(∅) = 1 - 0.25

cos²(∅) = 0.75

Taking the square root of both sides:

cos(∅) = ±√(0.75)

Since we're in the third quadrant where cosine is negative, we take the negative square root:

cos(∅) = -√(0.75)

Simplifying the square root:

cos(∅) = -√(3/4)

cos(∅) = -√(3)/2

Therefore, the value of cos(∅) is -√(3)/2.

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Answer: 60

Step-by-step explanation: If you subtract then you will continue to get 60

Answer:

[tex]\large {\mbox{R = 3.6}}[/tex]

Step-by-step explanation:

The formula for finding a magnitude of an earthquake on the Richter Scale is given as
[tex]R = \log\left(\dfrac{A}{A_0}\right)\\[/tex]

[tex]\rm{where}\\\textrm{A - measure of amplitude of quake wave}\\\textrm{$A_0$ = amplitude of smallest detectable wave}\\[/tex]

Given A = 0.3954 and A₀ = 0.0001, we can plug in these values into the R equation to get

[tex]R = \log\left(\dfrac{0.3954}{0.0001}\right)\\\\= \log(3954)\\\\= 3.597\\\\= 3.6\text { rounded to the nearest tenth}[/tex]

The total volume of the composite figure is 64 in³.

Volume of a rectangular prism

The volume of a rectangular prism, V = lwh where

l = length,

w = width and

h = height

Volume of horizontal rectangular prism

Since horizontal rectangular prism has a length of eight inches, a width of two inches, and a height of two inches. So,

l = 8 in,

w = 2 in and

h = 2 in.

So, its volume V' = lwh

= 8 in × 2 in × 2in

= 32in³

Volume of vertical rectangular prism,

Since the vertical rectangular prism connected at the right end of the other prism has a length of two inches, a width of two inches, and a height of eight inches. So,

l = 2 in,

w = 2 in and

h = 8 in.

So, its volume V" = lwh

= 2 in × 2in × 8 in

= 32 in³

Volume of composite figure

The volume of the composite figure V"' = V' + V"

= 32 in³ + 32 in³

= 64 in³

So, the total volume of the composite figure is 64 in³.

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The correct option is c. $300,000. In 2007, the FDIC’s insurance limit was $100,000 per person per bank. Kit had three separate $50,000 CDs at Bank R, a $60,000 checking account and a $140,000 money market account at Bank S, and an $80,000 savings account at Bank T.

How much of Kit’s money was FDIC insured?The amount of Kit’s money that was FDIC insured was c. $300,000.In 2007, the Federal Deposit Insurance Corporation (FDIC) insured deposit accounts up to $100,000 per person per bank, or up to $250,000 for certain retirement accounts.

This means that if the bank fails, the FDIC will provide insurance coverage up to the specified amount for the deposits.Based on the details given in the question, we need to calculate the amount of Kit’s money that was FDIC insured.Kit has the following accounts:

Three $50,000 CDs at Bank R.$60,000 checking account and a $140,000 money market account at Bank S.$80,000 savings account at Bank T.

So, the total amount of money that Kit has is:$50,000 + $50,000 + $50,000 + $60,000 + $140,000 + $80,000 = $430,000Therefore, the total amount of Kit’s money that was FDIC insured is:$100,000 (maximum amount insured per person per bank) × 3 banks = $300,000.So, the correct option is c. $300,000.

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Answer:

The answer is B) 280,000

Step-by-step explanation:

Answer:

[tex]y = (x-1)^2-9[/tex]

Step-by-step explanation:

The form of a quadratic equation is  [tex]y = a(x-h)^2+k[/tex]. Lets identify each change in words before switching to the formula:

Shifted 1 right

Shifted 9 down

No stretch horizontally

No stretch vertically.

Our equation will be [tex]y = (x-1)^2-9[/tex].

The difference between the interquartile range of Matt's and Linda's remaining vacation days is 1.5.

The interquartile range will be calculated through the formula -

[tex] Q_{3}[/tex] = [tex] Q_{2}[/tex] - [tex] Q_{1}[/tex]

Firstly calculating [tex] Q_{3}[/tex] for Matt

[tex] Q_{2}[/tex] = (4+5)/2

[tex] Q_{2}[/tex] = 4.5

[tex] Q_{3}[/tex] = (8+12)/2

[tex] Q_{3}[/tex] = 10

Finding interquartile range now -

[tex] Q_{3}[/tex] = 10 - 4.5

[tex] Q_{3}[/tex] = 5.5

Now, performing calculation for Linda

[tex] Q_{2}[/tex] = (0+10)/2

[tex] Q_{2}[/tex] = 5

[tex] Q_{3}[/tex] = (11+13)/2

[tex] Q_{3}[/tex] = 12

Finding interquartile range now -

[tex] Q_{3}[/tex] = 12 - 5

[tex] Q_{3}[/tex] = 7

The difference between the interquartile range of Linda and Matt will be calculated as:

Difference = Interquartile range of Linda - Interquartile range of Matt (as we see Linda has greater interquartile range than Matt)

Difference = 7 - 5.5

Difference = 1.5

Hence, the difference between interquartile range of days is 1.5.

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Answer:

a = 10

Step-by-step explanation:

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 24² = 26²

a² + 576 = 676 ( subtract 576 from both sides )

a² = 100 ( take square root of both sides )

a = [tex]\sqrt{100}[/tex] = 10

Answer:

To generate a linear function model using average rates of change, we need to have two points on the line. Let's suppose we have two points (x1, y1) and (x2, y2) on the line, where x2 > x1. Then the slope of the line, m, can be calculated as:m = (y2 - y1) / (x2 - x1)This represents the average rate of change of y with respect to x between the two points.Once we have the slope, we can use the point-slope form of the equation of a line to write the equation of the line:y - y1 = m(x - x1)where (x1, y1) is one of the points on the line.To simplify this equation, we can rearrange it to slope-intercept form, y = mx + b, where b is the y-intercept. We can solve for b by plugging in the coordinates of one of the points on the line:y1 = mx1 + bb = y1 - mx1Once we have m and b, we can write the equation of the line in slope-intercept form:y = mx + bHere's an example: Suppose we have the two points (2, 5) and (4, 9). The slope of the line between these two points is:m = (y2 - y1) / (x2 - x1) = (9 - 5) / (4 - 2) = 2Using point-slope form, we can write the equation of the line as:y - 5 = 2(x - 2)Simplifying, we get:y = 2x + 1So the linear function model generated using average rates of change is y = 2x + 1.

Step-by-step explanation:

The estimated circumference of the Moon's orbit around the Earth is approximately 1,579,896.8 kilometers.

The circumference of the Moon's orbit around the Earth can be estimated using the given distance of 251,400 kilometers.

The circumference of a circle is calculated using the formula:

Circumference = 2 × π × Radius

The Moon's orbit around the Earth can be considered as a circular path.

We can estimate the circumference by considering the given distance as the radius of the circle.

Circumference ≈ 2 × π × 251,400 kilometers

Using an approximate value of π as 3.14, we can calculate the estimated circumference:

Circumference ≈ 2 × 3.14 × 251,400 kilometers

Circumference ≈ 1,579,896.8 kilometers

The stated distance of 251,400 kilometres can be used to calculate the circumference of the Moon's orbit around the Earth.

In order to determine a circle's circumference, use the following formula:

Circumference equals two radii.

It is possible to think of the Moon's orbit around the Earth as a circle.

By using the specified distance as the circle's radius, we can calculate the circumference.

Approximately 251,400 km around.

We may determine the approximated circumference using an approximation of as 3.14:

= 2 × 3.14 × 251,400 kilometers around the earth.

1,579,896.8 km around the circumference

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The measure of m∠BCA is equal to: C. 70°

In Mathematics and Geometry, a circle is a closed, two-dimensional curved geometric shape with no edges or corners.

Additionally, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis), and a full circle always has a measure of 360 degrees.

In this context, the sum of an angle around any point is equal to 360 degrees;

m∠(BOA) = 360 - 250

m∠(BOA) = 110°

Also, the sum of all the interior angles inscribed in this circle, CAOB = 360 degrees;

m∠BCA = 360 - (110 + 90 + 90)

m∠BCA = 70°

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(5, 55) is the range of the given curve.

The given graph is similar to a quadratic graph. The range of a function is defined as the values of the function that lies along the y-coordinate.

From the given graph, the range will lie between the initial point on the graph top the vertex.

The initial point is (0, 5) while the vertex is (1, 55). The equivalent y-coordinate values will form the values for the range.

Hence the range of the given graph is (5, 55)

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Answer:

Step-by-step explanation:

There are many expressions that could have an answer of 14, but here’s one example:

(7 x 2) - 1 = 14

Let’s break it down step by step:

The first operation in this expression is multiplication. We multiply 7 by 2, which gives us 14.

7 x 2 = 14

The second operation in this expression is subtraction. We subtract 1 from the result of our multiplication, which gives us 14.

14 - 1 = 14

So, the final expression is (7 x 2) - 1 = 14, which has an answer of 14.

Keep in mind that there are many other expressions that could have an answer of 14 as well. This is just one example!

Answer:

(49÷7)2=14

(2×3.5)2=14

Step-by-step explanation:

I honestly don't know of this is exactly what our asking for but here are two equations that are equal to 14, hope this helps

Answer:

The y-intercept is -3

Written as a point it is (0, -3)

Step-by-step explanation:

To find the y-intercept, let x = 0

(and to find x-intercepts, let y = 0)

So let's let x = 0

f(x) = x^2 + 2x - 3

y = x^2 + 2x - 3

y = 0^2 + 2(0) - 3

y = -3

This means the y-intercept is -3. The graph crosses the y-axis at -3. This is the point (0, -3).

Answer:

A food manufacturer may use zero-rated goods in the manufacturing of a food product, but when the consumer buys the final product, it includes a VAT.

Step-by-step explanation:

The actual distance from A to the mid-point of BC is 42 m.

The actual distance from B to the mid-point of AC is 27 m.

A scale of 1 cm to 10 m can draw the triangular field ABC as follows:

        C

       / \

85 /   \ 90

    /      \

  A-------B

     30

Here, we draw AB as a horizontal line segment of length 9 cm (since AB is 90 m and the scale is 1 cm to 10 m), BC as a vertical line segment of length 3 cm (since BC is 30 m and the scale is 1 cm to 10 m) and AC as the hypotenuse of a right triangle with legs of length 8.5 cm and 9 cm (since AC is 85 m and AB is 90 m).

We can use a ruler to measure the actual distances from A to the mid-point of BC and from B to the mid-point of AC on the scale drawing.

The actual distance from A to the mid-point of BC, we first locate the mid-point of BC on the scale drawing is at a distance of 1.5 cm from B.

Then, we measure the distance from A to the mid-point of BC on the scale drawing is approximately 4.2 cm.

The scale of 1 cm to 10 m, we can convert this to the actual distance:

Actual distance = 4.2 cm × 10 m/cm

= 42 m

The actual distance from B to the mid-point of AC first locate the mid-point of AC on the scale drawing is at a distance of 4.25 cm from A.

Then, we measure the distance from B to the mid-point of AC on the scale drawing is approximately 2.7 cm.

Using the scale of 1 cm to 10 m, we can convert this to the actual distance:

Actual distance = 2.7 cm × 10 m/cm

= 27 m

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Answer:

Step-by-step explanation:

The equation to solve the problem is:

x + 550 = 750

Explanation:

The manager has already distributed $550, and the remaining amount to distribute is represented by the variable x. Adding the distributed amount to the remaining amount should equal the total amount of tips the manager has, which is $750. Therefore, the correct equation is x + 550 = 750.

Answer:

im pretty sure the slope would be 3 over 7 (3/7)

Step-by-step explanation:

Answer:

The distance from first base to third base is 127.3 ft,

The area of the given triangle, given the height and the type of triangle would be E. 16 cm ²

To find the area of an equilateral triangle when given just the height, the formula is:

= ( height ² x  √ 3 ) / 2

We are given a height of 4 cm.

The area of the triangle is therefore :

= ( height ² x  √ 3 ) / 2

= ( 4 cm ² x  √ 3 ) / 2

= ( 16 x  √ 3 ) / 2

=  27. 712 / 2

= 13. 85

The closest option is 16 cm ² so this is the answer.

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Step-by-step explanation:

answer is 10 hope it's helps