Which values of x are solutions to this equation?
|x/-4| = 2
x = 4 or x = 8
x = 2 or x = 6
x = –2 or x = 2
x = –8 or x = 8

The original cost of the car was $12,935.74 (rounded to the nearest $100).

(a) To find the depreciation rate for a car that originally cost $20,000 and is worth $12,000 after 4 years, we can use the formula:

\(C = (1 - r)^n * C_0\)

where C is the value of the car after n years, C_0 is the original cost of the car, and r is the yearly depreciation rate.

Plugging in the values given, we get:

\(12,000 = (1 - r)^4 * 20,000\)

Solving for r, we get:

\(1 - r = (12,000/20,000)^(1/4) = 0.8185\)

r = 1 - 0.8185 = 0.1815

The depreciation rate for the car is 18.2% (rounded to the nearest tenth of a percent).

(b) To find the original cost of a car that has a yearly depreciation rate of 11% and is worth $10,000 after 2 years, we can use the same formula:

\(C = (1 - r)^n * C_0\)

Plugging in the values given, we get:

\(10,000 = (1 - 0.11)^2 * C_0\)

Solving for C_0, we get:

\(C_0 = 10,000 / (0.89)^2 = $12,935.74\)

The original cost of the car was $12,935.74 (rounded to the nearest $100).

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Answer:

8/9

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

In most approximate way it can never be the area of the circle (Accurate area)

This is why because after creating base lines of each triangle it forms an inscribed polygon .

So

h is already approaching to r

Option B

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

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Step-by-step explanation:

if7=25

therefore??=20

Cross multiply

7 multiply 20 and then divide by 25

=28/5

5.6

round off it will be 6

hope it helps

Answer:

i would say its b

Step-by-step explanation:

Answer:

20 blue fish

Step-by-step explanation:

r=red fish, b=blue fish. r = 10+b. 60%r=r+b. (10+b)= 0.6(r+b); 10+b = 0.6(2b+10); 10+b=1.2b+6; 4=0.2b; b=20.

An element in a8, e^(iπ/4), that has order 15. Therefore, we have shown that a8 contains an element of order 15.

To show that a8 contains an element of order 15, we need to find an element in a8 whose order is 15.

First, note that the order of an element a in a group G is the smallest positive integer k such that a^k = e, where e is the identity element of G.

Now, consider the group a8, which is the group of all eighth roots of unity in the complex plane. The eighth roots of unity are given by:

1, e^(iπ/4), e^(iπ/2), e^(3iπ/4), e^πi, e^(5iπ/4), e^(3iπ/2), e^(7iπ/4)

To find an element of order 15, we need to find an eighth root of unity raised to a power that gives us a multiple of 15. We can see that e^(iπ/4) raised to the power of 15 gives us:

(e^(iπ/4))^15 = e^(15iπ/4) = e^(7iπ/2) = e^(3iπ/2) = -i

So, we have found an element in a8, e^(iπ/4), that has order 15. Therefore, we have shown that a8 contains an element of order 15.

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Answer:

Step-by-step explanation:

You have to try to eliminate all the other variables and isolate 'x':

Z=(x+h)k

Subtract 'h' from both sides:

Z-h=x(k)

Divide 'k' from both sides:

\(\frac{Z}{k} -h\)

So, \(x=\frac{Z}{k}-h\).

0.083 quarts in each cup contain.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total quantity of lemonade Tony has = 1/3 quart

Number of cups = 4

So, number of quarts are in each cup

=1/3 ÷ 4

=1/12

=0.083 quarts.

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Answer:

A. DEF=EDF

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

Answer:

Please

Excuse

My

Dear

Aunt

Sally

Step-by-step explanation:

It means to add parenthesis,exclamation points, multiplication, division, addition, & subtraction PEMDAS is a easier way to remember this

Answer:

Hello!

__________________________

PEMDAS: The order of operations

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Hope this helped you!

Step-by-step explanation: We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Answer:

(e = 2u - 220) I need to write at least 20 characters to post this only read what is in the parenthesis

Answer:

honestly i don't think it's either of these

Step-by-step explanation:

a proportional relationship goes through the origin and neither of these do

The total area of the regions between the curves is 8 + 5π square units

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

y = 5sin(x) and y = 5 - sin(x)

The curves intersect at

x = 0 and x = π

So, the area of the regions between the curves is

Area = ∫5sin(x) - 5 - sin(x)

This gives

Area = ∫4sin(x) - 5

Integrate

Area =  -4cos(x) - 5x

Recall that x = 0 and x = π

So, we have

Area =  -4cos(0) - 5(0) + 4cos(π) - 5π

Area =  -4 - 4 - 5π

Evaluate

Area =  -8 - 5π

Take the absolute value

Area =  8 + 5π

Hence, the total area of the regions between the curves is 8 + 5π square units

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a) Margine of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence is 0.019.

b) Correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

a) To calculate the margin of error for the proportion of all U.S. adults who think things are on the wrong track for 95% confidence, we can use the following formula:

ME = z√((p(1-p))/n)

Where:

z = the z-score associated with the desired level of confidence (in this case, 1.96 for 95% confidence)

p = the proportion of adults in the sample who said things are on the wrong track

n = the sample size

Using the percentages provided in the question, we can calculate the sample proportion:

p = % of adults who said things are on the wrong track / 100

p = % / 100 = %

So, p =

We don't have the sample size, but we can assume it's large enough (at least 30) to use the normal distribution approximation. Therefore, we can use the percentages directly to calculate the margin of error:

ME = 1.96√((0.490.51)/n)

ME = 1.96√(0.2499/n)

ME = 1.96(0.499/n¹/²)

ME = 0.019

Hence the margine of error is 0.019.

b) The margin of error means that if we were to conduct the same survey many times and calculate a 95% confidence interval for the proportion of all U.S. adults who think things are on the wrong track using each sample, we would expect the true population proportion to be within ±0.019 of the sample proportion in 95% of the intervals.

Therefore, the correct answer is B. One is 95% confident that the observed proportion of adults that responded "Wrong Track" is within ±0.019 of the population proportion.

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Based on the information, the equation can be simplified as follows: 7xy - 2x² - y

To simplify an equation we must carefully observe all the values that make up the equation. Once we identify the values with the same symbols, (x or y) we can group them. According to this procedure we can group the values of x as shown below:

In this case the 2x was added with the 5x to form the 7x. In the case of 2x², it cannot be added with the other values of x because it has an exponent of ².

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The topologies {∅, {x}, {y}, {z}, {x, y, z}} and {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}} satisfy both the Frechet and Hausdorff properties.

To find all possible topologies of the space  = {x, y, z}, we need to consider all the possible subsets of this set. Since the set has three elements, there are 2^3 = 8 possible subsets.
The possible topologies are as follows:
1. {∅, {x, y, z}}: This is the trivial topology, where the whole set and the empty set are the only open sets.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This is the discrete topology, where every subset of the set is open.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This is the indiscrete or trivial topology, where only the whole set and the empty set are open.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This is a topology that is not discrete or indiscrete.

To determine which of these topologies satisfy the Frechet property and the Hausdorff property, we need to consider the limit points and the ability to separate points, respectively.
The Frechet property states that for every point x in a set A, there exists a sequence of points in A that converges to x. In other words, every point is a limit point.
The Hausdorff property states that for any two distinct points x and y in a set A, there exist disjoint open sets U and V such that x is in U and y is in V. In other words, every pair of distinct points can be separated by open sets.

Let's analyze each topology:
1. {∅, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
2. {∅, {x}, {y}, {z}, {x, y, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.
3. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}}: This topology does not satisfy the Frechet or Hausdorff property because it does not have any limit points or allow for the separation of points.
4. {∅, {x}, {y}, {z}, {x, y}, {y, z}, {x, z}}: This topology satisfies both the Frechet and Hausdorff properties. Any point x can be approached by the sequence (x), and any two distinct points can be separated by open sets.

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The maximum number of possible effects that could be tested in a 2x2x2 factorial design with 3 main effects, 3 two-way interactions, and 1 three-way interaction is 7.

In a 2 x 2 x 2 factorial design, we can test the following maximum number of possible effects:
Main effects:

There are 3 main effects in this design, one for each factor (A, B, and C). You would analyze the effect of each factor independently on the outcome variable.

Two-way interactions:

There are 3 possible two-way interactions that can be tested in this design: AxB, AxC, and BxC.

These interactions examine the combined effects of two factors on the outcome variable.
Three-way interactions:

There is 1 possible three-way interaction that can be tested in this design: AxBxC.

This interaction examines the combined effect of all three factors (A, B, and C) on the outcome variable.

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If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between x and y is a strong negative relationship.

A simple random sample can be defined as a subset of items that are selected from a statistical population or larger data set, and each member of the subset has an equal or the same probability of being selected.

This ultimately implies that, each member of the subset are selected randomly and by chance, and as such a simple random sample is an unbiased representation of a statistical population.

By calculating the covariance using the following expression, we have:

Cov(X, Y) = E(XY) - E(X)E(Y).

E(X) = 5, E(Y) = 6 and E(XY) = 21.

In conclusion, we can infer and logically deduce that the relationship between x and y is a strong negative relationship.

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Complete Question:

If X and Y are any random variables with E(X) = 5, E(Y) = 6, E(XY) = 21, V(X) = 9 and V(Y) = 10, then the relationship between X and Y is a:

-strong positive relationship

-strong negative relationship

-weak positive relationship

-weak negative relationship

\( \boxed{\Large {\mathcal {{{\color{orange}{Area \: of \: circle \: = \: πr²}}}}}}\)

\(\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large πr²\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:{7.15}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\\large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{7} \: \times\:51.1225 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \frac{22}{ \cancel7} \: \times\: \cancel{51.1225} \: \: ^{ \red{7.303} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \:Area \: of \: circle }\:\large\blue\implies \tt \large {22} \: \times\:7.303 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \large \rm \pink{ \: Area \: of \: circle }\:\large\blue\implies \tt \large \: 160.666 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)

Hence , the area of circle is 160.66 m²

Given :-

To Find :-

Solution :-

Area of Circle = πr²

Area = 3.14×(7.15)² m²

= 160.52465 , which rounded off to 2DP would be 160.52 m²

None of the tables represent a proportional relationship.

Proportional relationships are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."

To determine whether a relationship is proportional, examine the ratios between the two variables. The relationship is proportional if the ratio is always the same. The relationship is not proportional if the ratio changes.

Fir the first table, the ratio varies. Also, the second table isn't constant.

Therefore, none has a proportional relationship.

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Answer:

$145

Step-by-step explanation:

10×12=120+25=145