A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft from the water in 2000. In what year will the house be only 250 ft from the water?

a. 1990

c. 2015

b. 2004

d. 2050

Answer:

Step-by-step explanation:

Left parenthesis, n, right parenthesis, equal, minus, 11, minus, 8, left parenthesis, n, minus, 1, right parenthesis.

The slope of a plot of the natural log of the vapor pressure of a substance versus 1/t is  - e.

What is slope?

\(l_{n} P = \frac{- Delta H_{vol} }{R} ( 1 T ) + C\)

Yy = mx + c

\(m = \frac{- Delta H_{vol} }{R}\)

m = slope

Ans = - e

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Answer:

C) 212.53

Step-by-step explanation:

3x60=180 (3 minutes is 180 seconds)

180+32.53=212.53 seconds

No, A and B are not independent. The value of P(A'∩B') is 0.4.

To determine if events A and B are independent, we need to compare the probabilities of their intersection (A ∩ B) and the product of their individual probabilities (P(A) * P(B)).

Given P(A) = 0.2 and P(B) = 0.5, we know that P(A ∩ B) = P(A) * P(B) if A and B are independent.

However, we are given P(A ∪ B)′ = 0.41, which represents the probability of the complement of the union of events A and B. Using the complement rule, we can rewrite this as P(A′ ∩ B′) = 0.41.

If A and B are independent, then we can use the independence rule to express P(A′ ∩ B′) as P(A′) * P(B′).

Since P(A) = 0.2, P(A′) = 1 - P(A) = 0.8.

Similarly, P(B) = 0.5, so P(B′) = 1 - P(B) = 0.5.

Therefore, P(A′ ∩ B′) = P(A′) * P(B′) = 0.8 * 0.5 = 0.4.

The calculated value of P(A′ ∩ B′) is 0.4, rounded to two decimal places.

To answer the question of whether A and B are independent, we compare P(A ∩ B) and P(A) * P(B). If P(A ∩ B) is equal to P(A) * P(B), then A and B are independent. However, if they are not equal, then A and B are dependent. In this case, P(A ∩ B) ≠ P(A) * P(B), so A and B are dependent.

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Answer:

Step-by-step explanation:

Symmetric Property of Equality means that we can swap the sides of equation and the equality stays the same.

The chance of rolling two 5s and flipping two heads can be calculated by multiplying the odds together because each cube and coin flip is independent. the probability that Kyle wins the prize is \(1/144\)

The probability of rolling a 5 on a number cube is 1/6, and the probability of flipping heads on a coin is 1/2.

Since each roll of the cube and flip of the coin is independent, we can find the probability of rolling two 5's and flipping two heads by multiplying the probabilities together:

P(rolling two 5's and flipping two heads) = P(rolling a 5) * P(rolling a 5) * P(flipping heads) * P(flipping heads)

\(= (1/6) \times (1/6) \times (1/2) \times (1/2)\)

\(= 1/144\)

Therefore, the probability that Kyle wins the prize is ,\(1/144\) or approximately  \(0.0069\) (rounded to four decimal places).

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Answer:

Cathy is 18 Katie is 6

Step-by-step explanation:

mhm

Answer:

A. -2

Step-by-step explanation:

-3+8-1-6=-2

Hope it helps :)

Answer:A. -2

Step-by-step explanation: You would do -3+8 because the two - signs turn to a positive and that will give you five. Then subtract one to get four. Then subtract six to get -2.

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.

Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form

y (t) = C eᵏᵗ, where k is the rate constant.

Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.

1/y dy/dt = 1/y d(C eᵏᵗ)/dt

= 1/y(kC eᵏᵗ)

= 1/y ( ky) ( since, y (t) = C eᵏᵗ)

= k

Therefore a constant relative growth rate.

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Complete question:

In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.

A. The relative growth rate at time t is the slope of the exponential function at time t.

B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt

C. The relative growth rate is proportional to the size of the population

D. The relative growth rate is constant.

Answer:

Depends on what it is.

Step-by-step explanation:

Calculating probability requires following a simple formula and using multiplication and division to evaluate possible outcomes of events like launching new products, marketing to larger audiences or developing a new lead generation strategy. You can use the following steps to calculate probability, and this can work for many applications that fall under a probability format:

1. Determine a single event with a single outcome

2. Identify the total number of outcomes that can occur

3. Divide the number of events by the number of possible outcomes

Answer: 1/3

Step-by-step explanation:

Answer:

by posting a question :)

Step-by-step explanation:

Answer:

Um, you didn't provide anything for me to answer so i don't really know what to provide for you.

Step-by-step explanation:

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:BE is equal to 72.

Step-by-step explanation: They are similar triangles. We know CD and BC. So we can find the comparison between the two. And we see that BC x 7 = CD. So the same will be said for BF and FE. We have BF is equal to 9. So 9 x 7 = 63. However, now we need to add the two together in order to get BE. Because BF + FE = BE. So 9 + 63 = 72

As per the mentioned distribution of cards, Clara has 2 baseball cards.

Let the number of baseball cards with Clara be x. So, number of baseball cards with Jeff will be 3x. Now, the baseball cards that Yolonda has is (3x + 7). We know their sum is 21, therefore, forming the equation now -

x + 3x + 3x + 7 = 21

Performing addition on Left Hand Side of the equation

7x + 7 = 21

Dividing the whole equation by 7

x + 1 = 3

Rewriting and solving the equation for x

x = 3 - 1

Performing division on Right Hand Side of the equation

x = 2

The number of baseball cards with Clara are 2.

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Answer: A = 40°, Angle B = 60° and Angle C = 80°. The angles sum to 180°, so at least one triangle may be drawn.

Step-by-step explanation: Did this help

Answer:

o

0 F x>o v 0 cover the interval (-4,-3

The statement which is true about the graphed function is that F(x) > 0 over the interval (-∞, -4).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a graph of a function.

The options contains the open interval (-∞, -3) and (-∞, -4).

It is clear that along this interval, the graph is situated above the X axis.

This means that the values of y is all greater than 0.

At x = -4, F(x) = 0

For all x < -4, F(x) > 0

So the correct statement is F(x) > 0 over the interval (-∞, -4).

Hence F(x) > 0 over the interval (-∞, -4).

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There is no solution of system of equation.

We have to given that;

System of equations are,

y = 3x+2

And, 4y=12+12x

Now, We can simplify for solution of system of equation as;

From (ii);

4y = 12 + 12x

Divide both side by 4;

y = 12/4 + 12/4

y = 3 + 3x  .. (iii)

And, From (i);

y = 3x + 2

Hence, From (iii) and (i);

WE can find that;

There is no solution of system of equation.

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Answer:

I think it might be C im not sure tho

According to the information, it can be established that both divers will be at 181.5 feet then after 9,075 minutes.

To find the time it took for both divers to be at the same depth, we must take into account the information provided by the question.

To solve this problem we must use the following mathematical operations. We must first find the time it takes for diver A to be at 181.5 ft.

20 * 9.075 = 181.5ft

Second, we must find the time it takes for diver B to be at the same depth.

As shown above, both divers are at 181.5 feet after 9,075 minutes.

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Answer:

d

Step-by-step explanation:

that's the amount is t coe

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

Answer:

7,072

Step-by-step explanation:

136 times 52 = 7,072

Answer:

7,072 newspaper in a year

Step-by-step explanation:

Multiply: 136*52=7,072

(I would put a picture of my work but I'm lazy right now lol)

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

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The cost of a certain chocolate bar can be represented using a piecewise function. For up to 10 pieces, the cost is P35.00 per piece, but if more than 10 pieces are bought, the cost is P32.00 per piece.

Let's define a function C(n) to represent the cost of buying n chocolate bars, where n is the number of bars bought. The cost can be expressed using a piecewise function as follows:

C(n) =

For n less than or equal to 10, each chocolate bar costs P35.00, so the cost is simply the product of the number of bars, n, and P35.00.

For n greater than 10, the cost per bar is marked down to P32.00. Therefore, the cost is the product of the number of bars, n, and P32.00.

This piecewise function represents the cost of the chocolate bars based on the number of bars bought. It ensures that for up to 10 bars, the cost is P35.00 per bar, and for more than 10 bars, the cost is reduced to P32.00 per bar.

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The real zeros of f(x) are x = -2, x = 1/5, and x = 7/5.

The smallest real zero is x = -2, and the largest real zero is x = 7/5.

Given function is :\(f(x) = 10x3- 7x2 - 139x + 28\).

Now we have to Verify the given factors of the function f which is \((2x + 7), (5x - 1)\).

The Remainder Theorem states that when a polynomial f(x) is divided by a divisor x - c, the remainder is equal to f(c).

Now we will divide f(x) by 2x+7 using polynomial long division.

\(\[\begin{align}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x^2&-8x+4 \\2x+7|10x^3-7x^2-139x+28& \\ \ \ \ \ \ \ \ \ \ \ \ \ -\underline{(10x^3+35x^2)}& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -42x^2-139x& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{(\ \ 42x^2+147x\ )}& \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -8x+28& \end{align}\]\)

Now the remaining factor of f(x) is (2x + 7) (5x - 1) (2x - 2), which is further simplified to f(x) = 10(x + 2)(5x - 1)(x - 7/5).

Hence the factorization of the given function is f(x) = 10(x + 2)(5x - 1)(x - 7/5).

The real zeros of f(x) can be found by setting f(x) = 0.

\(\[\begin{align}f(x)&=0 \\10(x+2)(5x-1)(x-\frac{7}{5})&=0 \\x+2&=0\ \ \ \ \ \ \ \ \ \ \ 5x-1=0\ \ \ \ \ \ \ \ \ \ \ x-\frac{7}{5}=0\\x&=-2\ \ \ \ \ \ \ \ \ \ \ x=\frac{1}{5}\ \ \ \ \ \ \ \ \ \ \ x=\frac{7}{5}\end{align}\]\)

Thus, the real zeros of f(x) are x = -2, x = 1/5, and x = 7/5.

The smallest real zero is x = -2, and the largest real zero is x = 7/5.

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Answer:

1. For buying 4 pencils and 2 pens we pay 5600 L.L. and for buying 2 pencils and 3 pens we pay 7800 L.L.

2. The price of one pencil is 150 L.L. and the price of one pen is 2,500 L.L

Step-by-step explanation:

The given system of equation are;

4·x + 2·y = 5,600...(1)

2·x + 3·y = 7,800...(2)

Where x represent the price of one pencil and y represents the price of one pen

Therefore, we have;

1. For buying 4 pencils and 2 pens we pay 5600 L.L. and for buying 2 pencils and 3 pens we pay 7800 L.L.

2. By making y the subject of both equations we have;

For equation (1)

y = 5,600/2 - 4·x/2 = 2,800 - 2·x

y = 2,800 - 2·x

For equation (2)

y = 7,800/3 - 2·x/3 = 2,600 - 2·x/3

y = 2,600 - 2·x/3

Equating both values of y gives;

2,800 - 2·x = 2,600 - 2·x/3

2,800 - 2,600 = 2·x - 2·x/3

200 = 4·x/3

600 = 4·x

x = 600/4 = 150

∴ The price of one pencil = 150 L.L.

y = 2,800 - 2·x = 2,800 - 2 × 150 = 2,500

∴ The price of one pen = y = 2,500 L.L.

Answer:

y = 3/2x - 18

Step-by-step explanation:

3x - 2y = 9

-2y = -3x + 9

y = 3/2x - 9/2

y = 3/2x + b

-9 = 3/2(6) + b

-9 = 9 + b

-18 = b

Answer:

Step-by-step explanation:4

Answer:

6.25

Step-by-step explanation:

Divide 150 $ to 24 caps on your calculator

If the cost of 24 caps is $150, then the cost of each cap is $6.25.

We know that a single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method. We typically use this technique for math calculations. We are able to locate the missing value using the unitary method.

Given that the cost of 24 caps is $150.

Then the cost of 1 cap is 150/24 = $6.25

Therefore we can conclude that If the cost of 24 caps is $150, then the cost of each cap is $6.25.

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Answer:

-3.75

Step-by-step explanation:

In order to find the rational number between -4 and -7/2, we need to follow two simple steps. (Same as finding the average).

1. Add the two numbers together

2. Divide the sum of them by 2

And there! You get the midpoint! :D

Now, let's solve... -4 - 7/2 = -7.5  <-- Adding them together

           -7.5 / 2 = -3.75 <-- Dividing the sum by two and getting the result

After adding the numbers together and dividing them, we got -3.75 as the midpoint!

Answer:

a). xy

b).x^2

c). (2y-1) (y^2+3)