14b = −56
Answer pls brainlist will be included if got right

Answer:

c. $13. 43

Step-by-step explanation:

Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).

Answer:

⅓ ×½ which will give you ⅙

Step-by-step explanation:

because

The probability that Manu will win the coin flip amongst others is 4/7

To determine the probability that Manu will win, we need to consider the possible outcomes of the coin flips.

Let's break down the scenarios:

Scenario 1: Manu wins on the first flip

- The probability of Manu winning on the first flip is 1/2, as he needs to flip heads right away.

Scenario 2: Manu wins on the second flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the second flip is (1/2) * (1/2) * (1/2) = 1/8.

Scenario 3: Manu wins on the third flip

- Juan flips tails (1/2 probability)

- Carlos flips tails (1/2 probability)

- Manu flips tails (1/2 probability)

- Juan flips heads (1/2 probability)

- Carlos flips heads (1/2 probability)

- Manu flips heads (1/2 probability)

- The probability of Manu winning on the third flip is (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/64.

The pattern continues, and we can see that Manu's probability of winning decreases exponentially with each subsequent flip.

Therefore, the total probability of Manu winning is the sum of the probabilities from each scenario:

1/2 + 1/8 + 1/64 + ...

This is an infinite geometric series with a first term (a) of 1/2 and a common ratio (r) of 1/8.

Using the formula for the sum of an infinite geometric series:

Sum = a / (1 - r)

Sum = (1/2) / (1 - 1/8)

Sum = (1/2) / (7/8)

Sum = (1/2) * (8/7)

Sum = 4/7

Therefore, the probability that Manu will win is 4/7.

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If water is being pumped into the trough at 2 cubic feet per minute, then the water level rising (in feet per minute) when h is 1.6 foot deep is 0.1 feet cubic per minute.

Suppose that we have a function y = f(x), and wish to find the rate of change of y with respect to a third variable t, where we do not have y expressed explicitly in terms of t. We use the chain rule in differentiation to find this rate of change in a process called implicit differentiation.

                     dy/dt = dy/dx × dx/dt

If base is equal to the height, by similar triangles:

Volume v = base x height x length/2

                = bhl/2

                = h²12/2

                = 6h².

Therefore,  

dv/dt = 12hdh/dt

         = 2 ft³/min

 Now,

dh/dt = 2/(12h)

when h = 1.6,

dh/dt = 2/(12 × 1.6) ≈ 0.1 ft³/min

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Answer:

Talia is not correct. The lateral Area has three faces, so the expression should be 3( 1/2(8)6.9) )

Step-by-step explanation:

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. This means that all three of the triangles that make up the faces of the triangular prism must be equal.

Since the dimensions of the base is known as 8 inches at the base and 6.9 inches high, the area of the base will be half the base times the height which is 1/2 x (8)(6.9).

The total surface area will be 3 times this area which will be,

Total surface area = 3( 1/2(8)6.9) )

The required value of constant of variation, k for which x and y vary directly is 6.

What is the constant of proportion?

A constant of proportion is illustrated as the ratio which relates two given quantities with each other in the relationship of proportion. Constant of proportion is also called constant variation, rate of change, and constant ratio.

Solving for the value of constant of variation

When a quantity varies directly with others, then we have a relation, y = kx, where k is the constant of the proportion      —-- 1

Given relation is y - 6x = 0

y = 6x

On comparing it with equation 1, we get,

k = 6

Hence, the required value of constant of variation is 6.

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Answer:

y=3x+3

Step-by-step explanation:

So generally you'll have a linear equation in the form of slope-intercept which looks like: y=mx+b, where m is the slope, and b is the y-intercept. the y-intercept, is the value of y, when x=0, which is going to be the constant b, because mx will be 0, because m * 0 = 0. m is the slope because as x increases by 1, the y-value increases by m, which in definition is the slope, how much a function increases as x increases by 1. So if you look at the table when x goes from -1 to 0, the y value goes from 0 to 3 or an increase in 3, and the same happens when x goes from 0 to 1. So the slope is 3, and the y-intercept as mentioned before is the value of y when x=0, which in this case is 3, which can be determined by looking at the table (look at y when x=0, it's 3). So this gives you the formula y=3x+3

Answer:

144

Step-by-step explanation:

We can see that every 2 boxes has 24 peaches in it. That means that every single box would have 12 in it. Then it is just simple multiplication from there. 12 * 12 = 144.

Hope that this helps!

Answer:

it will come with time, you are too young

Step-by-step explanation:

you need minimum math for life experience, the rest, if not that interesting, might help in some circumstances but you will have someone to help if needed

Answer: Some things will.

Step-by-step explanation:

For example learning about money will help you in adulthood. But on the other hand, the Pythagorean theorem won't help you unless your an architect or study measurement.

Answer:

Step-by-step explanation:

The probability of selecting a star-shaped straw from a cup that contains orange juice is 1/3.

The probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is obtained by dividing the number of cups containing orange juice and star-shaped straws by the total number of cups containing orange juice.

P(probability) = (Number of cups containing orange juice and star-shaped straws) / (Number of cups containing orange juice)

We are not given any information about the number of cups, thus we can assume that it is an equal amount. Hence, the number of cups containing orange juice would be equal to the number of cups containing different flavored juices. Therefore, Number of cups containing orange juice = Number of cups containing different flavored juices

The number of cups containing orange juice and star-shaped straws is not given, so we can assume that it is 3 since there are three flavors of juice. The number of cups containing orange juice and star-shaped straws = 3

Thus, the probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is: Probability = (3/9) = 1/3

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A restricted lifestyle is not an advantage of renting.

Option D is the correct answer.

Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.

We have,

Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.

Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.

This means that renters do not have to worry about these tasks or expenses.

Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.

A restricted lifestyle is not an advantage of renting.

This is because renters may be limited in terms of decorating, making changes to the property, or having pets.

Renters may also have to abide by certain rules set by the landlord or property management company.

This can limit their freedom and personalization of the space.

Thus,

A restricted lifestyle is not an advantage of renting.

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Answer:

B. 7b3 + 4ab + 4a2

Step-by-step explanation:

35b5/5b2 + 20ab3/5b2 + 20a2b2/5b2  

7b3 + 4ab + 4a2

Answer:

B = 7b³ + 4ab + 4a²

Step-by-step explanation:

35b^5 + 20ab³ + 20a²b² by 5b² ÷ 5b²

= 35b^5 + 20ab³ + 20a²b² by 5b²

_________________________

5b²

= 7b³ + 4ab + 4a²

The expected values represent the average outcome over many repeated bets. In any single instance, the actual outcome may differ.

To calculate the expected value for each bet, we need to multiply the probability of each outcome by the respective payoff and sum them up. Let's calculate the expected value for each bet:

Roll 1 dice: Rick bets you $5 that it is an even number.

There are three even numbers (2, 4, and 6) out of six possible outcomes.

The probability of rolling an even number is 3/6 = 1/2.

If you win, you receive $5.

The expected value is (1/2) * $5 = $2.50.

Roll 1 dice: Rick bets you $10 that it will be a 6, but he wants 5-to-1 odds: if it is a 6, Rick wins $50; otherwise, you win $10.

There is one favorable outcome (rolling a 6) out of six possible outcomes.

The probability of rolling a 6 is 1/6.

If Rick wins, he receives $50.

If you win, you receive $10.

The expected value is (1/6) * (-$50) + (5/6) * $10 = -$6.67 + $8.33 = $1.66.

Roll 1 dice: Rick bets you $10 that it will be either a 6 or a 1, and he wants 3-to-1 odds: if it's a 6 or a 1, Rick wins $30. Otherwise, you win $10.

There are two favorable outcomes (rolling a 6 or a 1) out of six possible outcomes.

The probability of rolling a 6 or a 1 is 2/6 = 1/3.

If Rick wins, he receives $30.

If you win, you receive $10.

The expected value is (1/3) * (-$30) + (2/3) * $10 = -$10 + $6.67 = -$3.33.

Roll 2 dice: If the sum of the two dice is 2 ("snake eyes"), you win $100. Otherwise, Rick wins $3.

There is only one favorable outcome (rolling two ones) out of 36 possible outcomes.

The probability of rolling snake eyes is 1/36.

If you win, you receive $100.

If Rick wins, he receives $3.

The expected value is (1/36) * $100 + (35/36) * (-$3) = $2.78 - $2.92 = -$0.14.

Based on the expected values, here is how each bet would play out in the long run:

You would expect to win $2.50 on average for each bet.

You would expect to win $1.66 on average for each bet.

You would expect to lose $3.33 on average for each bet.

You would expect to lose $0.14 on average for each bet.

Note: The expected values represent the average outcome over many repeated bets. In any single instance, the actual outcome may differ.

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Answer:

1. yes

2. no

Step-by-step explanation:

Answer:

6 units right and 4 units down :)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Step-by-step explanation:

:)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Answer:

y = 1/2 - 3

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

Pick 2 points (0, -3) (6, 0)

We see the y increase by 3 and the x increase by 6, so the slope is

m = 3/6 = 1/2

Y-intercept is located at (0, -3)

So, the equation is y = 1/2 - 3

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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Answer:

Step-by-step explanation:

City Population Density (Persons/Square Mile) 2016 Population Land A...

New York, New York 28,211 8,537,673 303

Los Angeles, California 8,484 3,976,322 469

Chicago, Illinois 11,883 2,704,958 228

View 751 more rows

Your monthly payment would be $333.33 if you finance a $20,000 car for 5 years without being charged any interest. (Option B).

If you are not being charged any interest on the car loan, your monthly payments would be calculated based on the total amount financed and the length of the loan term.

Assuming a loan term of 5 years (60 months), the total amount financed would be $20,000. To calculate the monthly payment, you can divide the total amount financed by the number of months in the loan term:

$20,000 / 60 months = $333.33 per month

Therefore, your monthly payment would be $333.33 if you finance a $20,000 car for 5 years without being charged any interest.

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The flux of the vector field F through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation cannot be determined due to the lack of a finite area on the given portion of the plane in the x-y plane.

To compute the flux of the vector field F = (xy, 3yz, 2zx) through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation, we need to evaluate the surface integral of the vector field over the given portion of the plane.

First, we need to parameterize the surface that lies on the plane. Since the equation of the plane is given as 3x + 2y + z = 6, we can express z in terms of x and y as z = 6 - 3x - 2y.

Next, we need to determine the bounds for the variables x and y. Since we are considering the portion of the plane in the first octant, we need to find the values of x and y that satisfy the conditions x ≥ 0, y ≥ 0, and 3x + 2y + z ≤ 6.

Substituting the expression for z in the inequality, we have 3x + 2y + 6 - 3x - 2y ≤ 6, which simplifies to 0 ≤ 0. This condition is always satisfied and does not provide any useful bounds.

Therefore, the portion of the plane in the first octant does not have any boundaries in the x-y plane that define a finite area. As a result, the surface integral and, consequently, the flux of the vector field through this portion of the plane cannot be calculated.

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The Volume of the larger, similarly shaped box is approximately 1997.4 cm^3.

To find the volume of the larger, similarly shaped box, we need to apply the scale factor to the volume of the original box.

Let's denote the volume of the larger box as V_larger and the volume of the original box as V_original.

The scale factor, which represents the ratio of the corresponding sides of the two boxes, is given as 2.2. Since the volume is a three-dimensional measure, the scale factor will affect the volume by raising it to the power of 3.

Therefore, we can set up the following equation:

V_larger = (scale factor)^3 * V_original

Plugging in the given values, we have:

V_larger = (2.2)^3 * 187.8

Evaluating this expression, we get:

V_larger = 10.648 * 187.8

V_larger ≈ 1997.4 cm^3

Rounding this value to the nearest tenth, we have:

V_larger ≈ 1997.4 cm^3

Therefore, the volume of the larger, similarly shaped box is approximately 1997.4 cm^3.

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Therefore , the solution of the given problem of triangle comes out to be 15 √3 is the length of the triangle's .

If a polygon includes two or more additional components, it is a hexagon. It has a straightforward rectangle shape. The only edges of something like a configuration that can distinguish it from a standard triangle are A and B. The limits continue to be precisely collinear, but Euclidean geometry only yields one section as opposed to a whole cube. A triangle has three sides and three angles.

Here,

opposite/hypotenuse of sin(60 degrees)

which implies:

=>  hypotenuse * sin(60 degrees) = opposite

Likewise, given the angle in the lower right corner is 30 degrees, we can infer the following:

opposite/adjacent = tan(30 degrees)

which implies:nearby + tan(30 degrees) * opposite

. Let's employ the first equation:

=> Hypotenuse = x/sin(60 degrees)

The Pythagorean theorem can be used to determine its length.

=> Hypotenuse 2 equals x 2 plus 15.

If we simplify, we get:

=> √(x2 + 225), hypotenuse

When we enter this expression into the initial equation, we obtain:

=> √(x² + 225) = x/sin(60 degrees).

=> x = √(x2 + 225) * sin(60 degrees)

=> x = (√(3)/2) * √(x² + 225)

=> x² = (3/4) * (x² + 225)

=> 4x² = 3x² + 675

=> x² = 675

=> x = √ (675)

=> x = 15 √3

Hence,  15 √3 is the length of the triangle's .

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Answer: 80°

Step-by-step explanation:

       It is a given that a triangle's interior angles add up to 180 degrees.

180° - 60° - 40° = x° = 80°

Answer:

The ball will strike the ground at time t = 21sec .

The number of observations strictly less than 24 is 7.

The five-number summary consists of the minimum value (13), the first quartile (Q1) or 25th percentile (24), the median or second quartile (Q2) or 50th percentile (38), the third quartile (Q3) or 75th percentile (51), and the maximum value (69).

Since Q1 represents the value below which 25% of the observations lie, and the five-number summary indicates that Q1 is 24, it means that 25% of the observations are less than or equal to 24.

Therefore, the number of observations strictly less than 24 is 25% of 33, which equals 7.

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The given statement is not completely true. The statement given above is that if

lim n→[infinity]

an=0, then ∑ n=0[infinity]

an converges, is not completely true.

The statement is False. This is because

lim n→[infinity] an=0

only implies that the series is divergent.

A sequence (an) is said to be convergent if lim n→[infinity] an exists and is a finite number.

The series Σan is defined to be the limit of its partial sums, that is,

Σan = lim N→[infinity] ΣNn

=1 an.

The given statement is not completely true.

The statement given above is that if

lim n→[infinity] an=0,

then ∑ n=0[infinity]

an converges, is not completely true.

The statement is False.

This is because

lim n→[infinity] an=0

only implies that the series is divergent.

In such a scenario, we say that the sequence an converges to zero.

However, this is not sufficient for convergence of the series Σan.

This can be illustrated by the following counterexample:

If an = 1/n,

then

lim n→[infinity] an=0.

But

Σn=1[infinity] an

=1 + 1/2 + 1/3 + 1/4 + ... = ∞.

Thus, the statement given above is False.

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Answer:

a) is the correct answer