You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.

Answer: pemdas or Parentheses, Exponents, Multiplication and Division

Step-by-step explanation:

To use the tangent ratio in a triangle, you need to know the lengths of two sides or the measures of two angles in the triangle. The tangent ratio relates the length of the side opposite an angle to the length of the side adjacent to that angle in a right triangle.

The tangent ratio is a trigonometric ratio that relates the length of one side of a right triangle to the length of another side. It is defined as the ratio of the length of the side opposite a given angle to the length of the side adjacent to that angle.

In order to use the tangent ratio, you must have knowledge of the triangle's sides or angles. If you know the lengths of two sides of a right triangle, you can use the tangent ratio to find the measure of one of the acute angles in the triangle. Conversely, if you know the measure of one of the acute angles, you can use the tangent ratio to find the ratio of the lengths of the sides in the triangle.

Essentially, to apply the tangent ratio, you need to have sufficient information about the triangle to identify the sides or angles involved in the ratio calculation. This information can be provided in terms of lengths of sides or measures of angles, allowing you to use the tangent ratio to solve for missing values or determine specific relationships within the triangle.

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Answer:

x=5

Step-by-step explanation:

3x + 45 = 60

      -45   -45

3x = 15

15 ÷ 3= 5

x= 5

-I hope this helps have a great day!

On solving the provided question, we can say that the inequality that will be formed is  \(1\leq x\leq 1.5 and 6\leq y\leq 8\) and Two possible combinations are (1.25.7). (1.35.7.5)

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

the inequality that will be formed is

\(1\leq x\leq 1.5\\6\leq y\leq 8\)

Two possible combinations are (1.25.7). (1.35.7.5)

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As per the given probability, the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes is either one or two hurricanes, depending on which sequence is more likely to occur.

The probability of the DD sequence is 0.4 x 0.4 = 0.16. This means that there is a 16% chance that the home will experience damage in both the first and second hurricanes.

The probability of the DN sequence is 0.4 x 0.6 = 0.24. This means that there is a 24% chance that the home will experience damage in the first hurricane but not in the second hurricane.

The probability of the ND sequence is 0.6 x 0.4 = 0.24. This means that there is a 24% chance that the home will not experience damage in the first hurricane but will experience damage in the second hurricane.

To determine the mode of the number of hurricanes it takes for the home to experience damage from two hurricanes, we need to consider which sequence is most likely to occur.

In this case, the DN and ND sequences have the same probability, which means that there are two possible modes: one and two hurricanes.

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Answer:

x= 40

so

3x-5= 115

2x-15= 65

Step-by-step explanation:

C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!

Answer:

C

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

3x - 5 + 2x - 15 = 180, that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

3x - 5 = 3(40) - 5 = 120 - 5 = 115°

2x - 15 = 2(40) - 15 = 80 - 15 = 65°

I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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The chords, inscribed angles, and central angles in the figure has been identified below.

A chord is a line segment that has both endpoints that lies on the circumference of a circle.

An inscribed angle can be defined as an angle that is formed by two chords in a circle, and having its vertex on the circumference of the circle.

A central angle is an angle that has its vertex at the center of the circle and it is formed by two radii of the circle.

1. The chords in the circle are: DE and EF

Inscribed angle is: angle DEF

Central angle are: angle DCF

2. The chords in the circle are: RS, ST, and SU

Inscribed angle are: angles STR, SRT, SRT, and RSU

Central angle are: angles TCU, SCT, SCR, and RCU

3. The chords in the circle are: DG and EF

Inscribed angle are: angles DGF and GEF

Central angle is: none

4. The chord in the circle is: AE

Inscribed angles are: none

Central angle is: angles DCE, ACB, BCE, and BCD

5. m<DGE = 1/2(84)

m<DGE = 42°

6. m<EFD = 1/2(84)

m<EFD = 42°

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a. The number of consumers surveyed who buy the product sold under Label B is 37.

b. The number of consumers surveyed who buy at least one of these labels is 55.

c. The number of consumers surveyed who buy the product sold under one label only is 63.

a. To determine how many consumers surveyed buy the product sold under Label B, we need to add the number of consumers who buy only Label B and the number of consumers who buy the product under both Label B and other labels.

The number of consumers who buy only Label B is 25.

The number of consumers who buy Label B along with other labels is 12 (those who buy labels B and C).

Therefore, the total number of consumers who buy the product sold under Label B is 25 + 12 = 37.

b. To find out how many consumers surveyed buy at least one of these labels, we need to add the number of consumers who buy each label individually and subtract the number of consumers who buy the product sold under all three labels (to avoid double counting).

The number of consumers who buy only Label A is 12.

The number of consumers who buy only Label B is 25.

The number of consumers who buy only Label C is 26.

The number of consumers who buy the product sold under all three labels is 8.

Therefore, the total number of consumers who buy at least one of these labels is 12 + 25 + 26 - 8 = 55.

c. To determine how many consumers surveyed buy the product sold under one label only, we need to add the number of consumers who buy each label individually.

The number of consumers who buy only Label A is 12.

The number of consumers who buy only Label B is 25.

The number of consumers who buy only Label C is 26.

Therefore, the total number of consumers who buy the product sold under one label only is 12 + 25 + 26 = 63.

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Answer:

The rate of change for the given function is 6.

Step-by-step explanation:

Given function is:

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

The interval on which we have to find the rate of change is:

1≤x≤2

Here

a = 1

b = 2

We have to find the values of function on both points

Putting 1 in place of input (x)

\(y_a= (1)^2+3(1)-2\\= 1+3-2\\=2\)

Putting x = 2

\(y_b = (2)^2+3(2)-2\\= 4+6-2\\=8\)

The rate of change is calculated by using the following formula

\(Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6\)

Hence,

The rate of change for the given function is 6.

Answer:

$51.20

Step-by-step explanation:

36% of 80 is 28.8

80 - 28.8 = 51.2

Formatted properly, the answer is $51.20

Answer:

Step-by-step explanation:

The answer is $51.20!

Hope this helps!

The following functions are analytic:

1. f(z) = iz

2. f(z) = \(e^(^-^2^x^)(cos^2^y - isin^2^y^)\)

4. f(z) = \(e^x(cosy - isiny)\)

5. f(z) = \(Re(z^2) - iIm(z^2)\)

8. f(z) = \(i/z^8\)

11. f(z) = cos(x)cos(hy) - isin(x)sin(hy)

Analytic functions are those that can be expressed as power series expansions, meaning they have derivatives of all orders in their domain. In the given list of functions, we need to determine if each function satisfies this criterion.

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a) The variable x ≈ 0.958

b) x = 2/3

(a) We can rewrite the equation as follows:

\(x - x^3/3! + x^5/5! - ... = 0.4\)

Let's group the terms with even exponents together and the terms with odd exponents together:

\((x^2/2! - x^4/4! + x^6/6! - ...) - (x^3/3! - x^5/5! + x^7/7! - ...) = 0.4\)

Now we can recognize the series expansions for sine and cosine:

cos(x) - sin(x) = 0.4

Using a calculator, we can solve for x to get:

x ≈ 0.958

(b) We can rewrite the series as follows:

\(1/(3x) + 1/(9x^2) + 1/(27x^3) + ... = 3\)

Let's multiply both sides by 3x:

\(1 + 3/(3x) + 3/(9x^2) + 3/(27x^3) + ... = 9x\)

Now we can recognize the series expansion for the geometric series:

\(1 + r + r^2 + r^3 + ... = 1/(1 - r)\)

where r = 1/3x. So we have:

\(1 + 3/(3x) + 3/(9x^2) + 3/(27x^3) + ... = 1/(1 - 1/3x)\)

Multiplying both sides by (1 - 1/3x), we get:

\((1 - 1/3x) + 3/(3x)(1 - 1/3x) + 3/(9x^2)(1 - 1/3x) + 3/(27x^3)(1 - 1/3x) + ... = 1\)

Simplifying the right-hand side gives:

1 - 1/3 + 1/3 = 1

And simplifying the left-hand side gives:

2/3x = 1

So we have:

x = 2/3

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Answer: Ummm   Thanks :D

Step-by-step explanation:

Answer:10

Step-by-step explanation:

The area of the resulting surface of this infinite curve is π units.

In this question,

The infinite curve is y = e^−2x, x ≥ 0.

The curve is rotated about x-axis.

Since x ≥ 0, the limits will be 0 to ∞.

Then the area of the resulting surface is,

\(A= 2\pi \lim_{b\to \infty} (\int\limits^\infty_0{e^{-2x} } \, dx )\)

Now substitute,

u = -2x

⇒ du = -2dx

⇒ dx = \(-\frac{1}{2} du\)

Then,

\(\int\limits{-\frac{1}{2}e^{u} } \, du =-\frac{1}{2}\int\limits{e^{u} } \, du\)

Now substitute u and du, we get

⇒ \(-\frac{1}{2} \int\limits {e^{-2x} }(-2) \, dx\)

⇒ \(-\frac{-2}{2} \int\limits {e^{-2x} } \, dx\)

⇒ \((1) \int\limits {e^{-2x} } \, dx\)

⇒ \(\int\limits {e^{-2x} } \, dx\)

Thus the area of the resulting surface is

\(A= 2\pi \int\limits^\infty_0{e^{-2x} } \, dx\)

⇒ \(A= 2\pi [{e^{-2x}(\frac{1}{-2} ) } \,]\limits^\infty_0\)

⇒ \(A= \frac{2\pi}{-2} [{e^{-2(\infty)}-e^{-2(0)} } \,]\\\)

⇒ \(A= -\pi [0-1} \,]\\\)

⇒ \(A= \pi\)

Hence we can conclude that the area of the resulting surface is π units.

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74. 94×10³= 74940 because the number 10³ has zeros when it is written without an exponent.

Using scientific notation, it's found that the number in standard notation is represented by:

74. 94 × 10³= 74940

Using scientific notation, you can write extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, the result is expressed in scientific notation as variety.

Scientific notation for the following number is:

\(a \times 10^{b}\)

In this problem, the amount is given by:

= 74. 94 × 10³

Hence, applying the multiplication, we have that:

74. 94 × 10³ = 74. 94 × 1000 = 74940

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Answer:

290 inches

Step-by-step explanation:

Answer:

The answer is 150 cards.

The explanation is shown in the picture.

I hope this helps!

Answer:

Joseph has 150 cards

Based on mathematical operations, the total package of figs to purchase is 10.

The number of packets of fig that the recipe will require is determined through unit conversions, using the mathematical operations of multiplication and division.

After converting 2 pounds to grams by multiplication, the total grams are divided by 100 to determine the number, approximated to the nearest whole.

The quantity of figs for the recipe = 2 pounds

1 packet of figs = 100 grams

1 pound = 16 oz

1 oz = 28.4 grams

1 pound = 454.4 grams (16 x 28.4)

2 pounds = 908.8 grams (454.4 x 2)

The number of packets of figs to buy = 10 (908.8/100)

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The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

5x11=55x10=550meters:)

Step-by-step explanation:

(a)The test statistic is -1.684

(b) degrees of freedom for a T distribution = 15

(c)the p-value is 0.05

We will be conducting a t-test to determine if the modifications made by the manufacturer have successfully reduced the noise level of the mowers.

(a) First, we need to find the test statistic (t-value). We can calculate it using the formula:

t = (sample mean - population mean) / (sample standard deviation / sqrt(sample size))

t = (79.6 - 82) / (5.7 / sqrt(16))

t = (-2.4) / (5.7 / 4)

t = -2.4 / 1.425

t ≈ -1.684 (rounded to three decimal places)

(b) To find the degrees of freedom for a T distribution, we use the formula:

df = sample size - 1

df = 16 - 1

df = 15

(c) To find the p-value, we look up the t-value and the degrees of freedom in a t-distribution table or use a calculator or software that can calculate the p-value for a one-tailed t-test. In this case, we have:

t = -1.684 and df = 15

Using a calculator or software, we find:

p-value ≈ 0.0568 (rounded to four decimal places)

Now, we compare the p-value with the significance level (0.05). Since the p-value (0.0568) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the modifications have reduced the noise level of the mowers at a 5% significance level.

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Answer:

200×100÷2=10000

Step-by-step explanation:

i think that is right

Answer:

gang I'ma be real I'm dmb asl

Answer:

11 + 13i

Step-by-step explanation:

A must know is that

\( \sqrt{i} = - 1\)

Complex numbers

1st: foil the equations

\( - 3(1 - 2i) + 7i(1 - 2i)\)

\( - 3 + 6i + 7i- 14 {i}^{2} \)

2nd Combine like terms and substitute

\(i ^{2} for \: - 1\)

\( - 3 + 14 + 13i\)

\(11 + 13i\)

Answer:

x = 4

Step-by-step explanation:

Given

\(\frac{x-2}{4}\) = \(\frac{3x-7}{10}\) ( cross- multiply )

4(3x - 7) = 10(x - 2) ← distribute parenthesis on both sides )

12x - 28 = 10x - 20 ( subtract 10x from both sides )

2x - 28 = - 20 ( add 28 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4