Express 120 as the product of its prime factors.
Write the prime factors in ascending order.

Answer:

19/38 can be simplified to 1/2

Step-by-step explanation:

Answer: x= 25.36

Step-by-step explanation:

Solve for x:
  Given: Acute Angle=29°
             Hypotenuse=29
             Adjacent - x=?

Relation: cosine

cos29°=\frac{x}{29}

\frac{cos29°}{1}=\frac{x}{29}

29(cos29°)=x
25.36=x

Step-by-step explanation:

20-17+3=6

18+1-5=14

7-8+6=5

20-18+7=9

17+1-8=10

3-5+6=4

Answer: that is a vertical angle

Step-by-step explanation:

whenever you see an odd shape like x it will always be vertical

If we assume an average height of 1 meter, the estimated amount of oil in the spill would be approximately 75,000,000 liters.

To determine the amount of oil in the spill, we need to calculate the volume of the spilled oil.

Given:

Length of the spill = 1.5 kilometers = 1500 meters

Width of the spill = 50 meters

To find the volume, we multiply the length, width, and average height of the spill. However, since the height of the oil spill is not provided, we cannot provide an exact value. The volume will depend on the thickness of the oil layer.

If we assume a hypothetical average height of 1 meter (which is just an example and may not represent the actual spill), we can calculate the volume as follows:

Volume = Length × Width × Height

= 1500 meters × 50 meters × 1 meter

= 75,000 cubic meters

Now, to convert the volume from cubic meters to liters, we need to multiply by 1000 (since 1 cubic meter is equal to 1000 liters):

Volume in liters = 75,000 cubic meters × 1000

= 75,000,000 liters

Therefore, if we assume an average height of 1 meter, the estimated amount of oil in the spill would be approximately 75,000,000 liters.

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In this given scenario, if Barba were to buy 7 tickets, she would need to pay $42 in total.

Barba purchased 5 amusement park tickets for a total cost of $30.

To determine the cost of 7 tickets, we first need to find the cost of one ticket, which we assume to be x.

By dividing the total cost of $30 by the number of tickets (5), we find that each ticket is priced at $6.

Substituting this value into the equation, we can calculate the cost of 7 tickets by multiplying the cost of one ticket ($6) by the number of tickets (7), resulting in a total cost of $42.

Therefore, if Barba were to buy 7 tickets, she would need to pay $42 in total.

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Answer:

Cannot be determinded from the picture given

Step-by-step explanation:

I can't see what the entire line segment MK is equal to, but if I did know what it was, I would create an equation:

\(14x-5+8x+1= total\\23x-4=total\\23x=total+4\\x=\frac{total+4}{23}\)

Then I would plug that value of X into \(14x-5\) to determine the value of ML.

Hope that helps!

Complete question :

The Greenland ice sheet contains about 3 million cubic kilometers of ice. If completely​ melted, this ice would release about 2.2 million cubic kilometers of​ water, which would spread out over​ Earth's approximate 343 million square kilometers of ocean surface. How much would the sea level​ rise?

Answer:

6.4139941 m

Step-by-step explanation:

Given that:

Volume of water that will be released if ice sheet was melted = 2.2million km³

Area of ocean surface = 343 million km²

Rise in sea level :

Volume of water realeased / Area of ocean surface

2.2 * 10^6 / 343 * 10^6

0.0064139 * 10^(6-6)

0.0064139 * 10^0

0.0064139 * 1

= 0.0064139 km

(0.0064139 * 1000)m = 6.4139941 m

If the diameter of circular-garden is 18 feet, then it will cost Randy an amount of $85.50 to buy edges for his garden.

The "Circumference" of circle is defined as the "total-length" of the boundary or the outer edge of the circle.

The circumference formula is : Circumference = π × Diameter,

The "diameter" of garden is = 18-feet,

So, Circumference = 3.14 × 18 = 56.52 feet,

Since, Randy needs to buy plastic-edging to cover the entire circumference of garden, he needs to buy 56.52 feet of edging.

We know that, Randy can only buy edging in whole-foot amounts,

So, rounding up to the nearest whole foot, we get 57 feet,

The cost of edging is = $1.50 per foot,

So, "total-cost" for Randy to buy edging for his garden is,

⇒ Total Cost = (Cost per foot) × (Number of feet),

⇒ $1.50 × 57,

⇒ $85.50

Therefore, it will cost Randy $85.50 to buy edging for his circular garden.

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Using counting and multiplication principles, the number of different ways that Chris can complete the quiz that has 3 questions with 4 choices each is C. 64 ways.

The multiplication principle shows us the number of different ways event 1 and event 2 can occur simultaneously.

In this situation, the number of questions is three and each question has 4 choices.

The number of ways to solve the 3 questions is given as m x n.

Questions

1     2    3

4 × 4 × 4 = 64

Thus, based on the multiplication and counting principles, we can conclude that Chris can complete the quiz in 64 different ways.

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The flow along the given curve, in the direction of increasing t, is pi.

The flow along the curve in the direction of increasing t, we need to evaluate the line integral of the velocity field F along the given curve.

The given velocity field is F = (z - x) i + x k, and the curve r(t) = (sin t) i + (cos t) k, where t ranges from 0 to pi.

The line integral is given by the formula: ∫ F · dr = ∫ (F · r'(t)) dt.

Let's calculate the dot product F · r'(t):

F · r'(t) = [(z - x) i + x k] · [(cos t) i - (sin t) k]

          = (z - x)(cos t) + x(-sin t)

          = z cos t - x cos t - x sin t.

Integrating the dot product with respect to t from 0 to pi, we get:

∫ (z cos t - x cos t - x sin t) dt = [z sin t - x sin t + x cos t] evaluated from 0 to pi.

Substituting the values of t = pi and t = 0 into the expression, we have:

[z sin pi - x sin pi + x cos pi] - [z sin 0 - x sin 0 + x cos 0]

= (0 - 0 + x(-1)) - (0 - 0 + x(1))

= -2x + 2x

= 0.

Therefore, the flow along the given curve, in the direction of increasing t, is 0, as the line integral evaluates to 0.

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The gravitational potential energy is 2940 Joules

The formula for gravitational potential energy is expressed as;

Gravitational Potential energy = m g h

Where;

Substitute the values into the formula;

⇒ 20 × 9. 8 × 15

Multiply through

⇒ 2940 Joules

Thus, the gravitational potential energy is 2940 Joules

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The remainder or residual value obtained when subtracting expenses from income on a personal income statement is called net income.

When preparing a personal income statement, Betty Tran followed the basic equation of income minus expenses to determine her financial position. The result obtained after subtracting her expenses from her income is known as net income or residual value. Net income represents the amount of money left over after covering all expenses and is a measure of one's financial profitability or loss during a specific period.

Net income is an important figure as it indicates whether an individual's income is sufficient to cover their expenses. If the net income is positive, it means that the individual's income exceeds their expenses, indicating a surplus or profit. Conversely, if the net income is negative, it implies that the individual's expenses exceed their income, resulting in a deficit or loss.

By calculating and analyzing the net income, individuals like Betty Tran can assess their financial health, track their spending patterns, and make informed decisions regarding budgeting, saving, and investment strategies.

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Answer:

17,660,000

Step-by-step explanation:

First:

Multiply 14.6 x 10^6 which equals 14,600,000.

Second:

Multiply 3.06 x 10^6 which equals 3,060,000

Third:

Add Both answers together. You will get 17,660,000 as the answer!

The 95% confidence interval for the calorie count of the snack bars is (138.8, 148.6). This means that we are 95% confident that the true population mean calorie count for the snack bars lies within this interval.

The sample mean calorie count is 145.4. The standard error of the mean is 20 / sqrt(10) = 4.47. The z-score for a 95% confidence interval is 1.96. Therefore, the confidence interval is calculated as follows:

(mean + z-score * standard error) = (145.4 + 1.96 * 4.47) = (138.8, 148.6)

This confidence interval tells us that we are 95% confident that the true population mean calorie count for the snack bars lies between 138.8 and 148.6.

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

John get 21 votes, Vivienne got 42 votes, and Nassim got 84 votes using the concept of equations.

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign. It demonstrates the equal relationship between the expressions presented on the left and right sides.

Let t the number of votes John got  = x

So, the number of votes Vivienne received = 2x

Also, the number of Votes Nassim received = 2 (2x)

= 4x

The total number of votes is given by

= x + 2x + 4x

= 7x

Given the total number of voters = 148

So, we can write an equation

7x = 148

x = 148/7

x ≈ 21

So, John get 21 votes

Vivienne got 2(21) = 42 votes

Nassim got 4(21) = 84 votes

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Answer:

b or c

Step-by-step explanation:

Answer:

A. Angles 4 and 5 are Alternate Interior Angles.

Answer:

(a) 8P3 =336;

Answer:

29.5cm^2

Step-by-step explanation:

3 × 4 = 12

4 × 2.5 = 10

3 × 2.5 = 7.5

12+10+7.5=29.5

Answer:

  see attached

Step-by-step explanation:

A quadratic relation is a polynomial relation that has a highest degree of 2. Its graph is ⋃-shaped (or ⋂-shaped). That is, it decreases, then increases, or vice-versa.

__

To identify the quadratic relations, you check to see which of them matches the description above.

The highest degrees, left to right, are 1, 3, 2. The right-most equation is a quadratic relation

The left-most graph is ⋃-shaped, so represents a quadratic relation.

The y-values in the left table decrease, then increase, suggesting a quadratic relation. (Those in the right table continue to decrease at a constant rate, which represents a linear relation.)

Answer:

x 2 - 4 x - 32

( x - 8 ) ( x + 4 )

Step-by-step explanation:

( x - 8 ) ( x + 4 )

Answer:

please please please help help me me my question solve (_25)×0

A(n) MODEL is a mathematical representation of an object created by a special software.

In computer science, a model is a mathematical abstraction of a system, process, or phenomenon that is intended to be simulated or executed on a computer system. A model is used to represent a system or process as a set of mathematical equations or logical rules in order to simulate or analyze it with a computer program.

                                                  It can be a physical object, such as a car or building, or an abstract concept, such as an economic system or a social network. In general, a model can be a simple or complex representation of a real-world object or process, and it can be used for a variety of purposes, such as predicting future outcomes, testing hypotheses, or designing new systems.

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Answer:

um i think it might be the 2nd option or the 1st

Im honestly not 100% sure which one it is

sorry if this doesn't help

Answer: I have the same opinion as the person above.

Step-by-step explanation:

If a certain unit of a commodity is produced with a marginal cost of \(\frac{dc}{da} =9x^{2}+4x+15x^{1/4} +10\), the cost of producing the first 126 units is 289.4

How to differentiate a function?

Differentiation is a way of showing rate of change of a function at a given time.

The given function  \(\frac{dc}{da} =9x^{2}+4x+15x^{1/4} +10\),

Differentiate with respect to x

\(\frac{dc}{da} =18x+4+\frac{15}{4} x-^{3/4}\)

input the value 100 for the value of x,

This implies that \(\frac{dc}{da} =18x+4+\frac{15}{4} x-^{3/4}\)

\(\frac{dc}{da}\)=1800+4+\(\frac{15}{4}\) x\(\frac{1}{\sqrt[4]{100^{3} } }\)

\(\frac{dc}{da}=1800+4+\frac{15}{4}x\frac{1}{3.16}\)

Simplifying further

\(\frac{da}{da} =1804+4.75\)

\(\frac{dc}{da} =1808.75\\\)

To produce the first 16 units,

\(\frac{1808.75}{100} }\) x \(\frac{16}{1}\)

The cost of producing the first 16 units is 289.4

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