Can I have help with an algebraic equation?

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Answer: c

Step-by-step explanation:

\(4 \frac{1}{2} \div 1 \frac{1}{4} \)

\( \frac{9}{2} \div \frac{5}{4} \)

\( \frac{9}{2} \times \frac{4}{5} \)

\( \frac{36}{10} \)

\( \frac{36}{10} \: as \: a \: mixed \: fraction \ \: : \)

\(3 \frac{6}{10} \)

\(A. a = 3 , b = 6 , c = 10

\)

Answer:

Interest = $3,888

Step-by-step explanation:

Formula:

I = prt or I = p · r · t

what it stands for:

I = amount of interest

P = principal amount ($1,200)

R = interest rate (in years)(3% into decimal which would be .03)

T = amount of time (in years)($108)

so:

I = prt

I = (1,200)(.03)(108)

I = $3,888

Interest = $3,888

The particular solution to the given differential equation is:

y_p(x) = (x − 5)^2

To solve the given differential equation by the method of undetermined coefficients, we assume that the particular solution has the form:

y_p(x) = A(x − 5)^2 + B(x − 5) + C

where A, B, and C are constants to be determined.

We can now proceed to find the values of A, B, and C by substituting the assumed form of the particular solution into the differential equation.

First, let's find the derivatives of y_p(x):

y_p'(x) = 2A(x − 5) + B

y_p''(x) = 2A

Now, substitute these derivatives and y_p(x) into the differential equation:

2A + 2(2A) + A(x − 5)^2 + B(x − 5) + C = (x − 5)^2

Simplifying the equation, we get:

4A + A(x − 5)^2 + B(x − 5) + C = (x − 5)^2

Comparing the coefficients of like terms on both sides, we have:

4A = 0 (coefficients of x^0 terms)

B = 0 (coefficients of x^1 terms)

A = 1 (coefficients of x^2 terms)

C = 0 (coefficients of x^0 terms)

Therefore, the values of A, B, and C are:

A = 1

B = 0

C = 0

Substituting these values back into the assumed form of the particular solution, we have:

y_p(x) = (x − 5)^2

Thus, the particular solution to the given differential equation is:

y_p(x) = (x − 5)^2

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Answer:

23/90

Step-by-step explanation:

Create a variable called "x" with a value of 0.2555 repeating.

10x would be equal to 2.555 repeating.

Calculate 10x - x using these numbers; 2.555 repeating minus 0.2555 repeating is 2.3 (the repeating fives subtract and cancel out). 2.3 is equal to 9x, so to find x, we write the fraction 2.3/9. To get rid of the decimal in the numerator, we multiply both the numerator and the denominator by 10: this gives 23/90. 23 is a prime number, so we know this fraction cannot be simplified further.

Answer:

Step-by-step explanation:

For bubble answers:

1. A

2.  B

3.  B

4. C

5. A

6. B

7. C

8.  B

9. B

One or two may be wrong sorry

The statement that It is sufficient to test an analogy by asking what are its relevant similarities is false.

Analogy refers to the process of comparison of two or more items such that it explains some idea, or classification or familiarity and representativeness. Studying the analogies helps in enhancing, strengthening and reinforcing the skills in areas such as reading comprehension, homophones, deductive reasoning and logic.

Testing an analogy only by relevant similarities will produce partial results which might not be suitable to fully explain the reason. Hence, both relevant similarities and differences are to be considered for more detailed review. Different kind of analogies used to explain the differences or similarities are synonym and antonym, symbol and reference, degree of differences.

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The probability density function is f(x) = (1/5)e^(-x/5) for x >= 0, the probability it will take the mechanic less than 6 minutes to change oil is 0.699

a. The probability density function (PDF) for the time it takes a mechanic to change the oil in a car, given that it follows an exponential distribution with a mean of 5 minutes, is:

f(x) = (1/5)e^(-x/5) for x >= 0

b. The probability that it will take a mechanic less than 6 minutes to change the oil is given by:

P(X < 6) = ∫0^6 f(x) dx

= ∫0^6 (1/5)e^(-x/5) dx

= [-e^(-x/5)]_0^6

= 1 - e^(-6/5)

≈ 0.699

c. The probability that it will take a mechanic between 3 and 5 minutes to change the oil is given by:

P(3 < X < 5) = ∫3^5 f(x) dx

= ∫3^5 (1/5)e^(-x/5) dx

= [-e^(-x/5)]_3^5

= e^(-3/5) - e^(-1)

≈ 0.181

d. The variance of the time it takes to change the oil can be calculated using the formula:

Var(X) = σ^2 = 1/λ^2

where λ is the rate parameter of the exponential distribution, which is the reciprocal of the mean. Therefore, in this case:

λ = 1/5

σ^2 = (1/λ)^2 = 5^2 = 25

So, the variance of the time it takes to change the oil is 25.

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Answer:

20

Step-by-step explanation:

\(x + 60 + 2x + 100 + 3x + 80 = 360\)

\(x = 20\)

==========================================================

Explanation:

Add up all the frequencies that correspond to outcomes that are more than 3

So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88

We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.

The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44

The "is" means "equals"

So we write \(72 = 8 \times 9\) which is the same as \(72 = 9 \times 8\) since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like \(8 \times 9 = 72\), and still mean the same thing.

To find Pedro's exam score, we can use the formula for calculating the z-score:

z = (x - μ) / σ,

where z is the z-score, x is the exam score, μ is the mean, and σ is the standard deviation.

Given that Pedro's z-score was 3, we can rearrange the formula to solve for x:

3 = (x - 68) / 10.

Multiplying both sides of the equation by 10, we get:

30 = x - 68.

Adding 68 to both sides, we find:

x = 30 + 68 = 98.

Therefore, Pedro's exam score was 98.

The z-score measures how many standard deviations an individual's score is above or below the mean. In this case, Pedro's z-score of 3 indicates that his exam score was 3 standard deviations above the mean of 68.

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Answer:

52

Step-by-step explanation:

answer = fifty two

x = 52

Answer:

X+90+90+128=360(total sum of quadrilateral)

X+180+128=360

X+308=360

X=360-308

X=52

Answer:1216

Step-by-step explanation:

It’s to big and if this helps plz but a brainly :)

Answer:

yes

Step-by-step explanation:

every x value has at least one y value

The combination numbers that can be used to unlock the padlock obtained from the information in the word problem is; 384

A word problem is a mathematical problem presented using sentences rather that mathematical expressions.

The details in the question obtained from a similar question online are presented as follows;

Three digits are required to be combined to open a combination lock.

The samples of three digits used for testing the opening of the combination lock are presented. as follows, using the order of the clues obtained from an online source

684; One digit is right and in its place

Therefore, only one of 6, 8, or 4 is correct and in its position

671; One digit is correct but placed in the wrong position

6 is not one of the digits since its position remains as in the first clue and the correct digits is in the wrong position, 6 is not one of the digits

456; There are two right digits located at the wrong positions

238; The three digits are wrong

385; One of the digits is correct, but positioned wrongly

The correct digit obtained from clue 3 is 5 and the position of 5 in 3 is the second position is the second number, therefore the position of indicates that the position of 5 is in the first position
The location of 4 obtained from clue 1 is the third position

The items in the first and third location are known, therefore, the number in the second position in the second clue is in the right position, however, the specification that the right number is in the wrong position in the second clue, therefore, the number 7 is not one of the numbers and 1 is one of the number

The correct combinations to unluck the key therefore; 514

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Answer:

-5, .004, .006,4,4.7,4,20

Step-by-step explanation:

-5 already solved
400% = 4
6x 10^-3 = .006
14/3 = 4.7 (rounded)
.4% = .004
-|20| = 20

The rectangular coordinate equation equivalent to the polar equation rsinθ - 3rcosθ = 5 is x^2 + y^2 - 3x - 5y = 0. The graph of this equation is a circle centered at (3/2, -5/2) with a radius of sqrt(34)/2.

To convert the polar equation to rectangular coordinates, we can use the following relationships:

x = r cosθ

y = r sinθ

Substituting these equations into the given polar equation, we have:

r sinθ - 3r cosθ = 5

Expanding the terms, we get:

r(sinθ - 3cosθ) = 5

Now, we can substitute x and y back into the equation:

(x^2 + y^2)(y - 3x) = 5

Simplifying further, we obtain:

x^2 + y^2 - 3x - 5y = 0

The graph of this equation is a circle centered at (3/2, -5/2) with a radius of sqrt(34)/2.

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Answer:

okay, so the answer will be 6, I promise.

Step-by-step explanation:

The problem requires us to find the mass of a wire that follows a piecewise linear curve passing through (4,1), (7,7) and (10,7) and has a density function given by p(x,y) = 5xy + 2y. To solve this problem, we need to use a line integral.

To find the mass of the wire, we can integrate the density function p(x,y) along the curve of the wire. The line integral is given by the formula:

∫(C) p(x,y) ds

where (C) represents the curve of the wire, ds represents the infinitesimal arc length along the curve and p(x,y) represents the density function.

We can calculate the line integral by breaking the curve of the wire into three parts - from (4,1) to (7,7), from (7,7) to (10,7), and from (10,7) back to (7,7).

For each part, we need to find the parametric equation of the line and the limits of integration. We can then substitute the values into the line integral formula and evaluate the integral.

After performing the line integral for all three parts and adding the results, we will get the total mass of the wire. The final answer will depend on the units used for the density function.

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Step-by-step explanation:

The answer is 70.11 because of the surface and its a pyramid

%, a relative figure signifying hundredths of any amount. Before the raise, I was making $45,000.

A percentage that represents a tenth of a quantity. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage. For instance, you would have received a 75% on the examination if you correctly answered 75 out of 100 questions (75/100).

Calculating a percentage involves dividing an item by its sum and multiplying the result by 100.

Considering the query

It was $52,200 after a 16% raise in my pay.

In light of the conditions stated, come up with

\($=\frac{52200}{1+16 \%}$$=\frac{52200}{1+0.16}$$=\frac{52200}{1.16}$$=\frac{5220000}{116}$\)

= $45000

Before the raise, I was making $45,000.

Therefore, the answer is $45,000.

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Answer:

37.5 km2 ...............

The probability that the book is nonfiction given that it is hard-covered is 4/11

From the complete question, we have:

Total = 20

n(H ∩ N) = 4

n(H) = 11

This means that:

P(H ∩ N) = n(H ∩ N)/Total

So, we have:

P(H ∩ N) = 4/20

The conditional probability is then calculated using:

P(N | H) =4/20 ÷ 11/20

Evaluate

P(N | H) = 4/11

Hence, the probability that the book is nonfiction given that it is hard-covered is 4/11

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Answer:

Step-by-step explanation:

4/20

11/20

4/11

yw :)