Please help me with this I don’t know how.

Answer:

In multiplication of a decimal by a decimal number we will learn how to find the product of a decimal by another decimal.

To multiply a decimal number by a decimal number, we first multiply the two numbers ignoring the decimal points and then place the decimal point in the product in such a way that decimal places in the product is equal to the sum of the decimal places in the given numbers.

y = mx + b

y = 2x - 5

you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.

it should look like this:

hope this helps !!

Answer:

D 70,000

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

simple if you know how to multiply cuz thats all you doing anyway.

anyways you Welcome.

cross multiply

Answer:

40 magazines.

Step-by-step explanation:

She gets $200 from the book store the week she needs $280 for the school trip. Therefore, she only needs $80 in order to go.

$80 ÷ $2 = 40

40 magazines.

Answer:

40 is the answer.....  your welcome

Step-by-step explanation:

Answer & Step-by-step explanation:

The  probability that none of the 4 selected transistors are defective is approximately 0.2884.

a. To find the probability that all 4 transistors selected are defective, we can use the formula for probability of multiple independent events:

P(all defective) = P(defective) * P(defective) * P(defective) * P(defective)

Since there are 4 defective transistors out of 11 in total, the probability of selecting a defective transistor on the first draw is 4/11. Since the draws are independent, the probability of selecting a defective transistor on the second draw is also 4/11, and so on. Therefore:

P(all defective) = (4/11) * (4/11) * (4/11) * (4/11) ≈ 0.0026

So the probability that all 4 selected transistors are defective is approximately 0.0026.

b. To find the probability that none of the 4 selected transistors are defective, we can again use the formula for probability of multiple independent events:

P(none defective) = P(not defective) * P(not defective) * P(not defective) * P(not defective)

Since there are 4 defective transistors out of 11 in total, the probability of selecting a non-defective transistor on the first draw is 7/11. Since the draws are independent, the probability of selecting a non-defective transistor on the second draw is also 7/11, and so on. Therefore:

P(none defective) = (7/11) * (7/11) * (7/11) * (7/11) ≈ 0.2884

So the probability that none of the 4 selected transistors are defective is approximately 0.2884.

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The worth of the comic in 15 years is $784.41.

If the value of the comic is increasing it means it is appreciating in value. As a result of the appreciation, the price of the comic increases with the passage of time.

FV = P (1 + r)^n

$360 x (1.05)^15 = $784.41

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Answer:

The final answer is 748.41

Step-by-step explanation:

The probability of getting one head and the rest tails when flipping 5 fair coins is 0.156 or 15.6% to three decimal place accuracy.

To calculate the probability that one coin shows heads and the rest show tails, we need to use the formula:

P = (number of ways to get one head and four tails) / (total number of possible outcomes)

The total number of possible outcomes when flipping 5 coins is 2^5 = 32 (since each coin can either show heads or tails).

To calculate the number of ways to get one head and four tails, we can use the combination formula:

C(5,1) = 5

This means that there are 5 ways to choose which coin will show heads. Once we have chosen that coin, the other 4 coins must show tails. Since each coin has a 50/50 chance of showing heads or tails, the probability of this occurring is:

P = 5/32

Rounding to three decimal places, the probability is:

P = 0.156

Therefore, the probability of getting one head and four tails when flipping 5 fair coins randomly is 0.156 or 15.6%.

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First, let's find each length of the city

To do that, find the square root of 900

l² = 900

l= 30 miles

The length of the city is 30 miles

We need to find the length on map

1 inch = 20 miles

x = 30 miles

20 x = 30

x=1.5 miles

The length is 1.5 miles on map

Hence the area on map is ;

Area = l² = 1.5² = 2.25

Hence the city area is 2.25 square inches

The functions f(t) and g(t) are given by:

f(t) = 5sin(4t)u(t)

g(t) = (2/3)e^(-4t/3)u(t)

(a) The function f(t) that satisfies L[f(t)] = \(5se^(-s/4)/(s^2 + 64)\) can be found by taking the inverse Laplace transform of the given expression. Using the properties of Laplace transforms and known Laplace transform pairs, we can find that f(t) = 5sin(4t)u(t).

To find the function f(t), we start with the given expression \(L[f(t)] = 5se^(-s/4)/(s^2 + 64)\). Using the Laplace transform property L[t^n] = n!/(s^(n+1)), we can rewrite the expression as \(5s/(s^2 + 64) - (5s/(s^2 + 64))e^(-s/4).\)

Next, we use the inverse Laplace transform property\(L^(-1)[s/(s^2 + a^2)] = sin(at)\) to obtain the first term as 5sin(8t) and the second term as \(5sin(4t)e^(-t/4).\)

Since we only need the function f(t), we can ignore the term involving e^(-t/4) as it will vanish when multiplied by the step function u(t). Therefore, the function f(t) = 5sin(4t)u(t).

(b) Following a similar approach, we can find the function g(t) that satisfies\(L[g(t)] = 2e^(-2s)/(3s^2 + 48)\). By taking the inverse Laplace transform, we find that \(g(t) = (2/3)e^(-4t/3)u(t).\)

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Solving them, it is found that the equivalent equations are given as follows: 2 + x = 5, x + 1 = 4, -5 + x = -2.

Equivalent equations are equations that have the same solution.

In this problem, the equations and their solutions are given as follows.

Hence the equivalent equations are: 2 + x = 5, x + 1 = 4, -5 + x = -2.

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CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Research on aging uses a **longitudinal** design.

A longitudinal design is a research design in which the same participants are studied over time. This is in contrast to a **cross-sectional** design, in which different participants are studied at different times.

Because age cannot be manipulated as an independent variable, research on aging must use a longitudinal design. This allows researchers to track changes in participants' behavior, cognition, and other factors as they age.

Longitudinal studies can be expensive and time-consuming to conduct, but they can provide valuable insights into the aging process. For example, longitudinal studies have shown that cognitive decline is not inevitable with age, and that certain lifestyle factors, such as exercise and social engagement, can help to protect against cognitive decline.

Here are some examples of longitudinal studies on aging:

* The Baltimore Longitudinal Study of Aging, which has been following a group of adults for over 70 years.

* The Framingham Heart Study, which has been following a group of adults for over 70 years.

* The Study of Adult Development and Aging, which has been following a group of adults for over 80 years.

These studies have provided valuable insights into the aging process, and they continue to be an important source of information for researchers and policymakers.

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Answer:

c

Step-by-step explanation:

Answer:

1. A

2. Missouri Compromise

3. Abolition

Step-by-step explanation:

Answer:

\(0 < \text{x} \le 4\)

If x is an integer, then x is any value in the set {1,2,3,4}

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

Work Shown:

x = length of each side

6x = perimeter of the regular hexagon

The perimeter must be greater than 0.

Also, the perimeter must be less than or equal to 24. This is because of the phrasing "perimeter is at most 24 inches".

In other words, the perimeter is between 0 and 24, excluding 0 and including 24.

\(0 < \text{ perimeter } \le 24\\\\0 < 6\text{x} \le 24\\\\0/6 < 6\text{x}/6 \le 24/6\\\\0 < \text{x} \le 4\\\\\)

If x is an integer, then x can be any value in the set {1,2,3,4}

Examples:

Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

The values of yn for the given flow rates Q can be calculated using the Manning's equation for a trapezoidal channel with the given parameters n, S, b, and z.

The Manning's equation relates flow rate (Q) in a channel to its parameters: n (Manning's roughness coefficient), S (channel slope), b (bottom width), and z (side slope). The equation is given by Q = (1.49/n) * (b/z) * (A * R^(2/3)) * S^(1/2), where A is the cross-sectional area and R is the hydraulic radius.

To find yn (depth of flow), we rearrange the Manning's equation as A = (Q * n * z) / (1.49 * (b/z) * R^(2/3) * S^(1/2)). We then substitute the given values of n, S, b, and z, and calculate the values of A for each flow rate Q using the equation. Finally, we solve for yn by dividing A by the bottom width b.

Performing these calculations for each given flow rate Q (1070, 1369, 1624, 1829, 2171, and 2331), we can determine the corresponding values of yn for each flow rate using the Manning's equation and the provided parameters.

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The null hypothesis is rejected and it is concluded that there is a relationship between residential area and air pollution level at a significance level of α = 0.05.

Given,The null hypothesis: H₀: No relationship exists between the residential area and air pollution level.

The alternative hypothesis: H₁: A relationship exists between the residential area and air pollution level.The significance level is α = 0.05.

We will use the Pearson correlation coefficient formula: r = ∑xy / √((∑x²)(∑y²))

Substitute the given values in the formula:r = 47449 / √((22*269148)(22*32.64))r = 0.2787

We have to find out whether this calculated value of correlation coefficient r is significant or not. We will use the t-test for this purpose.The formula for t-statistic is given by: t = r√(n - 2) / √(1 - r²)

Substitute the given values in the formula: t = 0.2787√(22 - 2) / √(1 - (0.2787)²)t = 2.2215

The degrees of freedom is df = n - 2 = 22 - 2 = 20.

The critical value of t for df = 20 at α = 0.05 is given by: tc = ±2.086

From the above calculations, we can see that the calculated value of t (2.2215) > tc (2.086).

This means that the calculated value of r is statistically significant. Therefore, we reject the null hypothesis and conclude that there is a relationship between residential area and air pollution level at a significance level of α = 0.05.

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Answer:

£28,800

Step-by-step explanation:

Given:

To find:

Solution:

Ria's salary before tax is £3,000 per month.

(i.e) £12 * 3,000/year =  £36,000.

Now she has to pay 20% tax.

(i.e) 80/100 * 36,000 =  £28,800

Hence, Ria receives £28,800 each year after tax.

the probability that a student, answering each question at random, will answer at least 14 questions correctly is approximately 0.0000039 rounded to seven decimal places.

To calculate the probability that a student, answering each question at random, will answer at least 14 questions correctly, we can use the binomial probability formula.

The probability of answering a question correctly by random chance is 1 out of 5, which can be expressed as 1/5 or 0.2.

Let's denote:

n = number of trials (number of questions) = 20

p = probability of success (probability of answering a question correctly) = 0.2

x = number of successful outcomes (number of questions answered correctly)

We want to calculate the probability of answering at least 14 questions correctly, which means we need to find the probability of getting 14, 15, 16, 17, 18, 19, or 20 questions correct.

Using the binomial probability formula, we can calculate the probability for each case and sum them up:

P(X ≥ 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

P(X = k) = (n choose k) * \(p^k * (1 - p)^{(n - k)\)

Using this formula for each value of k and adding them up, we find:

P(X ≥ 14) ≈ 0.0000039

Therefore, the probability that a student, answering each question at random, will answer at least 14 questions correctly is approximately 0.0000039 rounded to seven decimal places.

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Complete question is below

A student takes a multiple choice test with 20 questions. Each question has 5 possible answers, only one of which is correct. { a) If a student answers each question at random, what is the probability that they will answer at least 14 questions correctly? Round your answer to seven decimal places.

Answer:

q - (1,3)

r - (4,-3)

s - (0,-2)

t - (-2, 1)

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

The expression was reduced to it's lowest expression or term or we say we found the common factor amongst them

Answer:

C matches the graph the best

Step-by-step explanation:

The minimum Nyquist sample rate for representing the typical human hearing range is 44.1 kHz.

The human hearing range is typically considered to be between 20 Hz and 20 kHz. In order to accurately reproduce sounds in this frequency range, a sample rate of at least twice the highest frequency of the range must be used. This means that a sample rate of at least 44.1 kHz is necessary for accurately representing the typical human hearing range.

In digital audio, the Nyquist-Shannon sampling theorem states that a sample rate of at least twice the highest frequency of the signal being captured must be used in order to accurately reproduce the signal.

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The balance of the unsubsidized loan at the time of graduation is $3,691.10.

Given:

Principal amount = $2,560

Interest rate = 6.8% = 0.068

Time period = 6 months

We can use the formula for compound interest to calculate the future value:

\(Future\; Value = P (1 + \dfrac{Interest Rate}{Number of Periods}) ^{(Periods * Time )\)

Substituting the value back into the formula as

Future Value = \($2,560 (1 + \dfrac{0.068}{12} )^{(12 * 6)\)

                      = \($2,560 (1 + 0.00566667)^{(72)\)

                      = \($2,560 (1.00566667)^{(72)\)

                      = $2,560 * 1.44044291

                       = $3,691.10

Therefore, the balance is $3,691.10.

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The component form of the resulting vector is <5, -4>

Vector:

Vector means the objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.

Given,

Vector v = <3, 1>.

Here we need to find the value of u through the given graph and we have to perform the addition operation in order to find the component form of the resulting vector.

Here we have the value of vector v = <3,1>

While observing the graph we have identified as the value of vector u is,

x value = 2

y value = -5

So, the component from of vector u = <2, -5>

Now the addition of u + v is equal to,

=> u + v

=> <3,1> + <2, -5>

=> < (3 + 2) , (1 + (-5))>

=> < 5, -4>

Therefore, the component form of the resulting vector is <5, -4>.

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Answer:

Draw vector v in standard position. To add v to u, shift v 2 units to the right and 5 units down so its initial point coincides with the terminal point of u. Use a dotted line to depict the shifted vector v.

Now there are three sides of a parallelogram. To complete the parallelogram, draw a dotted line from the tip of vector v in the standard position to the tip of the shifted vector v.

Finally, draw the vector represented by the diagonal of the parallelogram with its initial point at the origin. The resultant vector, u + v, is this diagonal of the parallelogram in which the two vectors, u and v, are adjacent sides. The components of u + v are <5, -4>.

Step-by-step explanation:

Plato/Edmentum

Answer:

Periodicity of 2cos(3x-2π)=

\( \frac{2\pi}{3} \)

Step-by-step explanation:

\(periodicity \: of \: 2 \cos(3x - 2\pi) \\ periodicity \: of \: a. \cos(bx + c) + d = \\ \frac{periodicity \: of \: \cos(x) }{|b|} \\ periodicity \: of \: \cos(x) \: is \: 2\pi = \frac{2\pi}{|3|} \\ simplify = \frac{2\pi}{3} \)

Answer:

\(\sf Period=\dfrac{2}{3} \pi\)

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function

f(x) = A cos(B(x + C)) + D

where:

Given function:

y = 2 cos (3x - 2π)

Therefore:

Period of given function:

\(\sf \implies Period=\dfrac{2 \pi}{B} = \dfrac{2 \pi}{3}\)

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.