Given ⊙ N, what is mAB?

Answer:

The volume of the cylinder is 500 π cubic kilometers.

Step-by-step explanation:

Formula: V = πr²h

r = d/2

r = 20km/2

r = 10 km

h = 5km

Solve for the volume using the formula.

Substitute the given

V = π(10km)²(5km)

V = 500π km³

I hope this helps you

The illustration of p - q and p + (-q) using a number line is added as an attachment

From the question, we have the following parameters that can be used in our computation:

p - q

Also, we have

p + (-q)

The above expressions mean that

To add two numbers (positive and negative), we can start from a point p, and then count backwards on the number line in q terms

Using the above as a guide, we have the following:

The illustration using a number line is added as an attachment

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The value of angle marked 2xand x in the figure is

2x = 60

x = 30

The value of the angle is solved using complementary angles. These helps us arrive at the equation 2x + x = 90

solving for x

2x + x = 90

(2 + 1)x = 90

3x = 90

3x/3 = 90/3

x = 30

There fore

x = 30

2x = 2 * 30 = 60

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A hot dog costs 2.25 we get it by solving the equation

Let's denote the cost of one hot dog by x.

Then we can set up two equations:

5x + 6y = 18.39

x + 2y = 4.63

where y is the cost of one bag of chips.

We want to solve for x.

Let us isolate variable y in the second equation

y = 4.63 - x/2

Substitute the y equation in the equation (1)

[tex]$5x + 6\left(\frac{4.63 - x}{2}\right) = 18.39$[/tex]

Simplifying this equation gives:

5x + 13.89 - 3x = 18.39

2x = 4.5

x = 2.25

Hence, a hot dog costs 2.25.

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The partial fraction of the given rational expression is [tex]\frac{25}{(x+1(x+2)} =\frac{25A}{3(x-1)} -\frac{25B}{3(x+2)}[/tex]

Given the following equation below:

[tex]\frac{25}{(x+1(x+2)}[/tex]

We are expression as the sum of partial fractions

Let the numerator of both partial expressions be A and B to have:

[tex]\frac{25}{(x+1(x+2)} =\frac{A}{x-1} +\frac{B}{x+2}[/tex]

Simplifying the expression, we will have;

[tex]\frac{25}{(x+1(x+2)} =\frac{A(x+2)+B(x-1)}{x-1(x+2)}[/tex]

Cancelling the denominator:

25 = A(x+2) + B(x-1)


If x - 1 = 0, then x = 1. Substitute to have:

25 = A(1+2)

3A = 25
A = 25/3

If x + 2 = 0, x = -2

25 = B(-3)
B = -25/3

Substitute into the function to have:

[tex]\frac{25}{(x+1(x+2)} =\frac{25A}{3(x-1)} -\frac{25B}{3(x+2)}[/tex]

This gives the partial fraction of the given rational expression.

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Answer:

60°

Step-by-step explanation:

180-78-42=60

The calculated value of the period of the function is 6

From the question, we have the following parameters that can be used in our computation:

The equation, f(x) = 2cos(2π/6(x + 4)) +3

A sinusoidal function is represented as

f(x) = acos(2π/b(x + c)) + d

Where the period is B

When the equations are compared, we have

2π/b = 2π/6

This gives

b = 6

Hence, the period of the function is 6

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Complete question

Answer the question by comparing the equation,f(x)=2cos(2π6(x+4))+3 to the equation,f(x)=acos(2πb(x+c))+d.What is the period of the function?

Answer:

6.6 x 10^6

Step-by-step explanation:

Applying the angle of intersecting secant-tangent theorem, the measure of arc VT is calculated as: m(VT) = 116°.

Given that the lines appear tangent, the measure of the arc VT indicated above can be calculated using the angle of intersecting secant-tangent theorem which states that:

m<U = 1/2(m(WT) - m(VT))

Given the following:

measure of angle U = 37 degrees.

measure of arc WT = 190 degrees.

Plug in the values:

37 = 1/2(190 - m(VT))

74 = 190 - m(VT)

m(VT) = 190 - 74

m(VT) = 116°

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The calculated number of miles run is 24 miles

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

The graph is a proportional graph with the points

(x, y) = (10, 1)

So, the equation of the graph is

y = x/10

At 4 hours, the value of x is

x = 4 * 60

So, we have

y = 4 * 60/10

Evaluate

y = 24

Hence, the number of miles run is 24 miles

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After 7 years, you will have approximately $[tex]24,156.36[/tex] in your savings account.

To calculate the final amount in your savings account after 7 years with continuous compounding, we can use the formula for compound interest with continuous compounding:

[tex]\[ A = P \times e^{rt} \][/tex]

Where:

- A is the final amount in the account

- P is the initial principal (the amount you deposit)

- e is Euler's number (approximately 2.71828)

- r is the interest rate (expressed as a decimal)

- t is the time period in years

In this case, you have won $12,000 in the lottery, so P = $12,000. The interest rate is [tex]7.5\%[/tex], which is equivalent to [tex]0.0.75[/tex] in decimal form. The time period is [tex]7[/tex] years.

Plugging these values into the formula, we get:

[tex]\[ A = 12000 \times e^{0.075 \times 7} \][/tex]

Calculating the exponential term:

[tex]\[ e^{0.075 \times 7} \approx 2.013 \][/tex]

Substituting this back into the equation:

[tex]\[ A = 12000 \times 2.013 \]\[ A \approx 24156.36 \][/tex]

So, after 7 years, you will have approximately $[tex]24,156.36[/tex] in your savings account.

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Answer:

Step 4

Step-by-step explanation:

In step 3, 16 + 9 = 25, so step 4 should subtract 25 from both sides. Also, y² became -y² in step 4 which is incorrect.

Answer: Step 4

The cost of the items indicates that the inequality that represents the cost or amount spent is; 18 + 5n ≤ 50, therefore, yes Mai is correct, because the total amount spent depends on the amount with Priya

An inequality is a comparison between two expressions, variables, or quantities that are of different values, using the symbols, '<', '≤', '≠', '≥', and '>'.

The amount Priya has to spend = $50

The cost the gift she finds for her parents = $18

The number of siblings Priya has = 5

Therefore;

The cost of the items she thinks each of her 5 siblings would like = 5 × n

The total cost of the items Priya intends to buy = 18 + 5·n

The inequality that indicates the possibility of Priya buying all the items she finds is therefore;

18 + 5·n ≤ 50

Therefore, May is correct as the amount or the cost of items Priya buys should be less than or equivalent to the $50 Priya has

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the paint set, sketchbook, brush price in turn are : 26 ; 19,5 ; 3,25$

Step-by-step explanation:

assume the price of the paint set is x($)

we have an equation

52,75-4= X + 3/4X +1/6×3/4X (4$ is the remaining amount after shiva bought these things above)

<=> X=26($)

Answer: 21

Given:

  |7 + (-12)| + |-16|

Absolute value of -16:

  |7 + (-12)| + 16

Addition times subtraction is subtraction:

  |7 - 12| + 16

Subtract:

  |-5| + 16

Absolute value of -5:

  5 + 16

Add:

  21

The value and the slope of the curve at point (x, y) = (7, 2) are 2 and 1 / 7, respectively.

In this problem we find the case of a line tangent to a curve at point (x, y) = (7, 2) and that passes through the point (x, y) = (0, 1). The equation of the line is described by following formula:

y = m · x + b

Where:

And the slope of the line is found by secant line formula:

m = Δy / Δx

First, determine the slope of the secant line:

m = (2 - 1) / (7 - 0)

m = 1 / 7

f'(7) = 1 / 7

Second, find the value of the curve:

f(7) = 2

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It will take the train 53.33 seconds to pass completely through the tunnel.

We have,

First, let's convert the speed from km/h to m/s:

54 km/h = 54000 m/3600 s = 15 m/s

We need to find the total distance the train travels, which is the sum of its length and the tunnel's length:

So,

distance = 180 m + 620 m = 800 m

Now we can use the formula:

time = distance/speed

time = 800 m / 15 m/s

time = 53.33 seconds

Therefore,

It will take the train 53.33 seconds to pass completely through the tunnel.

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The mass of 405 cm³ of milk is 417.15 g.

To solve this problem need to use the formula:

mass = volume x density

The volume of milk given in the problem is 405 cm³ and the density of milk is 1.03 g/cm³.

Substitute these values in the formula to calculate the mass of the milk.

mass = 405 cm³ x 1.03 g/cm³

mass = 417.15 g

The mass of 405 cm³ of milk is 417.15 g.

To understand the concept behind this formula we need to understand what density is.

Density is defined as the amount of mass per unit volume of a substance.

It is expressed in units of grams per cubic centimeter (g/cm³) for solids and liquids.

The formula for calculating the mass of a substance is the product of its volume and density.

In this problem we have been given the volume and density of milk so we can easily calculate its mass using this formula.

The density of a substance can vary with changes in temperature and pressure.

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The total amount of the emergency fund is A) $6,516.91

First, we need to calculate the net income after deductions:

Next, we need to calculate the amount of constant expenses:

Fixed prices = 30% of $3,425.88 = $1,027.76

The entire amount saved inside the emergency fund is 5 months' worth of fixed costs:

Emergency fund = $1,027.76 x 5 = $5,138.80

To calculate the quantity inside the 60-day CD

We need to multiply 75% of the emergency fund by means of the interest rate and divide with the aid of 12 to get the monthly interest:

Therefore, the total amount of the emergency fund is:

$5,138.80 + $160.57 + $1,284.70 = $$6,516.91

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Answer:

A pentagonal pyramid. There are 6 faces on the solid. There are 10 edges and there are 6 vertices on the solid.

A pentagonal pyramid is defined as a type of pyramid that has a base with the shape of a regular polygon.

The properties of a pentagonal pyramid include the following:

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The rotation's angle is -45 degrees.

Quadrilateral A'B'C'D' is the representation of quadrilateral ABCD rotated around (0,0).

Consider D and D's coordinates.

D(2,3) and D'(-2,-3)

Now, Join D and D' then

<DOD = 45

Here, the actual rotation is  -45 degree rotation can be visualized as a reflection across the y-axis followed by a 45 degree rotation in the clockwise direction.

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The output levels that will maximize profits are Q1 = 52.5 and Q2 = 52.5.

To maximize profits, we need to find the output levels of the two goods that will maximize the difference between total revenue and total cost (i.e., profit).

The profit function can be expressed as:

π = TR - TC

  = 15Q1 + 18Q1^2 + 15Q2 + 18Q2^2 - 20 - 2Q1.Q2 - 393

Taking the partial derivative of the profit function with respect to Q1 and setting it equal to zero, we get:

∂π/∂Q1 = 15 + 36Q1 - 2Q2 = 0

Taking the partial derivative of the profit function with respect to Q2 and setting it equal to zero, we get:

∂π/∂Q2 = 15 + 36Q2 - 2Q1 = 0

Using Cramer's rule, we can solve for Q1 and Q2:

Q1 = (2(15) - (15)(36))/(-4) = 52.5

Q2 = (2(15) - (15)(36))/(-4) = 52.5

Therefore, the output levels that will maximize profits are Q1 = 52.5 and Q2 = 52.5.

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The two numbers that multiply to the number 24 and add up to the number -25 as required to be determined are; -24 and -1.

It follows from the task content that the two numbers which multiply to give 24 and add up to give -25 are to be determined.

By observation, the two numbers in discuss are; -24 and -1. This follows from the fact that: -24 × -1 = 24 and also, -24 + -1 = -25.

Consequently the two numbers as required to be determined are; -24 and -1.

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A graph that represents the compound inequality include the following: D. graph D.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Since the inequality symbol represents less than, we can logically deduce that the first point would be located at negative 3, followed by positive 1, with an open circle on both sides.

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The required amount of rent be $4,850.19.

The original rent of apartment per month = $1700

And the interest = 11%

Time = 10 years.

To determine the apartment's rent during the tenth year:

Rent is calculated as Initial = Rent x [tex](1 + Increase Rate )^{year}[/tex] .

We plug the values and compute the rent for the tenth year using the provided data,

Rent = $1700 x (1 + 0.11)¹⁰

Rent = $1700 x 2.85

Rent = $4,850.19

Thus,

The apartment's rent in the tenth year would be about $4,850.2 per month.

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Answer: 27.3 inches

Step-by-step explanation:

The given image is a parallelogram, because the two lines are Parallel to each other implying that they will never cross each other

Based on the question above,  the coordinates of the figure are:

O = (0,0)

P = (a, b)

S = (a + c, b)

T = (c,0)

Note that the vertices O and T and they can be seen on the same horizontal level, due to the fact that they have the same y-coordinate and can be used also for vertices P and S

The length of the sides by distance formula will be:

PS = c

OT = c

So this implies that the opposite sides are parallel and congruent. Therefore, the image is a parallelogram

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The theoretical probability of Constance getting an orange ring from the coin-operated machine is 0.182. This means that out of all the possible outcomes, there is an 18.2% chance that Constance will get an orange ring.

To find the theoretical probability of Constance getting an orange ring from the coin-operated machine, we need to first understand what theoretical probability means. Theoretical probability is the likelihood or chance of an event happening based on the number of possible outcomes. In this case, the possible outcomes are the different colored rings that the machine contains.

We are given that the machine contains 5 white rings, 6 orange rings, 7 purple rings, and 15 pink rings.

Therefore, the total number of rings in the machine is 5 + 6 + 7 + 15 = 33.

The probability of Constance getting an orange ring can be calculated by dividing the number of orange rings by the total number of rings in the machine.

Therefore, the theoretical probability of Constance getting an orange ring is:

6 / 33 = 0.181818...

To express this as a decimal, we can round it to the nearest thousandth, which is 0.182.

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The length of the other diagonal of the kite is: 50 cm

We want to find the area of the given kite but It should be noted that:

The hypotenuse is usually the slanted line part in a triangle.

Area of a kite = pq/2

where:

p and q are diagonals

We are given:

Area of Kite = 180 cm²

Length of diagonal = 16 cm

Thus:

16q = 180

q = 180/16

q = 50 cm

This gives us the length of the other diagonal of the kite

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The expression for the calculation is:

[tex]\sf 3+12\times(14+19)[/tex]

Let us focus on "product of... and the sum of..." first. Whenever you have procedures arranged in an order similar to this, always remember that the second keyword tells you to put a mathematical operation inside grouping symbols, while the first keyword tells you to keep an operation isolated on the outside. In this exercise, the product of 12 tells you that you will be distributing it amongst another individual or set inside grouping symbols, which in this case is a "set inside grouping symbols" because the sum of 14 and 19 tells you that in order to complete the produced expression, the additive expression must be placed inside grouping symbols. Now, all we have left is 3, which can be added on either side of the entire expression because according to the order of operations, in this case, multiplication is performed before addition.

Hence the expression for the calculation is

[tex]\sf 3+12\times(14+19)[/tex]

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