I have absolutely no clue what I’m doing here please help

Answer:

The answer is 351 miles

Step-by-step explanation:

20%=39

80%=156

100%=195

39x4=156

Since you found 80% you have to add that to 100% and if you do the math right you should get 351 miles. Hope that helps.

The linear function y = (1/2)x + 1 represents a line that passes through the points (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4). The line rises as it moves to the right and intersects the y-axis at (0, 1).

To plot the ordered pairs for the given linear function y = (1/2)x + 1, we will substitute the values from the domain D = {-8, -4, 0, 2, 6} into the equation and calculate the corresponding values for y.

Let's calculate the y-values for each x-value in the domain:

For x = -8:

y = (1/2)(-8) + 1

y = -4 + 1

y = -3

So, the ordered pair is (-8, -3).

For x = -4:

y = (1/2)(-4) + 1

y = -2 + 1

y = -1

The ordered pair is (-4, -1).

For x = 0:

y = (1/2)(0) + 1

y = 0 + 1

y = 1

The ordered pair is (0, 1).

For x = 2:

y = (1/2)(2) + 1

y = 1 + 1

y = 2

The ordered pair is (2, 2).

For x = 6:

y = (1/2)(6) + 1

y = 3 + 1

y = 4

The ordered pair is (6, 4).

Now, let's plot these ordered pairs on a coordinate plane. The x-values will be plotted on the x-axis, and the corresponding y-values will be plotted on the y-axis.

The points to plot are: (-8, -3), (-4, -1), (0, 1), (2, 2), and (6, 4).

After plotting the points, we can connect them with a straight line to represent the linear function y = (1/2)x + 1.

The graph should show a line that starts in the lower left quadrant, rises as it moves to the right, and intersects the y-axis at the point (0, 1).

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Answer:

The short answer is there isn’t.

Start by writing each of these as an expression:

x * y = 60

x + y = 7

Next, solve each for the same variable; in this case, y:

(x * y) / x = 60 / x

.: y = 60 / x

(x + y) - x = 7 - x

.: y = 7 - x

Next, replace y of the second expression to the first

y = 60 / x & y = 7 - x

.: 7 - x = 60 / x

Now, solve for x:

(7 - x) * x = (60 / x) * x

.: x * 7 - x^2 = 60

This is quadratic, so write it in the form of ax2 + bx + x = 0

(-1)x^2 + (7)x + (-60) = 0

.: a = -1, b = 7, c = -60

Finally solve for b:

x = (-b +- sqrt(b^2 - 4*a*c)) / 2a

.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)

.: x = (-7 +- sqrt(49 - 240)) / -2

.: x = (-7 +- sqrt(-191)) / -2

The square root of a negative value is imaginary and thus there’s no real answer to this problem.

Given the function y(t) = 5sin 4t + 3cos 4t. We need to rewrite it in terms of a cosine term only and sine term only.a) a cosine term only We can use the formula of sin (a + b) = sin a cos b + cos a sin b.

Using this formula, we can write, y(t) = 5sin 4t + 3cos 4t = √34 [√(5/17)sin 4t + √(12/17)cos 4t]We know, cos (90° - θ) = sin θ and sin (90° - θ) = cos θThus, we can rewrite the above equation as,y(t) = √34 [cos (90° - 4t) √(5/17) + sin (90° - 4t) √(12/17)]Thus, y(t) = √34 cos (4t - 0.37)b) a sine term only We can use the formula of cos (a + b) = cos a cos b - sin a sin b.

Using this formula, we can write, y(t) = 5sin 4t + 3cos 4t = √34 [√(12/17)sin 4t - √(5/17)cos 4t]We know, cos (90° - θ) = sin θ and sin (90° - θ) = cos θThus, we can rewrite the above equation as,y(t) = √34 [sin (4t + 1.18) √(12/17)]Thus, y(t) = √408/17 sin (4t + 1.18)The frequency of both sine and cosine functions is equal to 4 rad/s The amplitude of sine function = √408/17 = 2.73The amplitude of cosine function = √34 = 5.83The phase angle of cosine function = 0.37 rad The phase angle of sine function = 1.18 rad.

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Therefore, expression 2.4(-3.3-0.9+1.2) simplifies to -7.2.

In mathematics, an expression is a combination of numbers, variables, and/or mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are grouped together in a meaningful way. Expressions can represent mathematical calculations, as well as logical, algebraic, or geometric relationships. For example, 2x + 3y is an algebraic expression that represents the sum of two terms, 2x and 3y, where x and y are variables. Another example is sin(2x) + cos(3x) - 2, which is a trigonometric expression that represents the sum of three terms involving trigonometric functions and a constant.

Here,

2.4(-3.3-0.9+1.2) can be simplified using the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, we need to simplify the expression inside the parentheses:

-3.3 - 0.9 + 1.2 = -3.0

Now, we can substitute this value back into the original expression and simplify further:

2.4(-3.0) = -7.2

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Answer:

b)  $0.15c + $125 = $305

c = number of cookies baked

Adrienne baked 1200 cookies in one day

Step-by-step explanation:

Expenditure:

Part A

b)  $0.15c + $125 = $305

Part B

c = number of cookies baked

Part C

   0.15c + 125 = 305

⇒ 0.15c = 305 - 125

⇒ 0.15c = 180

⇒ c = 180 ÷ 0.15

⇒ c = 1200

Adrienne baked 1200 cookies in one day

We have proven that the argument is valid, as we have successfully derived the conclusion (∃x Q(x)).

To prove the given argument is valid, we will first define predicates and express the hypotheses and conclusion using those predicates. Then we will use the rules of inference to demonstrate the validity of the argument.

Let's define the predicates:

P(x): x practices hard

Q(x): x plays badly

The hypotheses can be expressed as:

∀x (P(x) ∨ Q(x)) - Everyone practices hard or plays badly (or both)

¬∃x P(x) - Someone does not practice hard

The conclusion can be expressed as:

∃x Q(x) - Someone plays badly

Now, let's proceed with the proof using the rules of inference:

¬∃x P(x) - Premise

∀x (P(x) ∨ Q(x)) - Premise

¬P(a) - Negation of existential elimination (from premise 1)

P(a) ∨ Q(a) - Universal elimination (from premise 2)

Q(a) - Disjunctive syllogism (from 3 and 4)

∃x Q(x) - Existential introduction (from 5)

Therefore, we have proven that the argument is valid, as we have successfully derived the conclusion (∃x Q(x)) using the given premises.

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The probability that the largest number drawn is less than or equal to 9 is approximately 0.9936.

(a) The probability that 9 is the largest number drawn is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or (9 choose 5) / (14 choose 5).

(b) The probability that the largest number drawn is less than or equal to 9 is the number of ways to select 5 balls out of the first 9 balls divided by the number of ways to select 5 balls out of 14, or the sum of (i) (9 choose 5) / (14 choose 5) and (ii) (8 choose 5) / (14 choose 5) and (iii) ... (5 choose 5) / (14 choose 5).

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The correct answer is kπ.

We can start by rearranging the equation to get sin(x) on one side:

sin2(x) + 3sin(x)/4 = 0

Factoring out sin(x), we get:

sin(x)(sin(x) + 3/4) = 0

So either sin(x) = 0 or sin(x) = -3/4.

For sin(x) = 0, the solutions are x = kπ for any integer k.

For sin(x) = -3/4, we note that this value is not attainable for any real x since the range of sin(x) is [-1, 1]. Therefore, there are no solutions for sin(x) = -3/4.

Thus, the solutions to the equation sin2(x) = −3 sin(x) 4 are:

x = kπ for any integer k.

So the correct answer is kπ.

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The probability of at least one appearance in a 21-alternate period is 0.969803

(a) The appearance  rate is 10 passengers nanosecond , so the anticipated number of advents  in nanosecond is also 10. The probability of no advents  in one minute is given by the Poisson distribution with parameter lambda = 10:

P(X = 0) = \(e^{(-lambda)}\) \(lambda^{0}\) / 0! =  \(e^{(-10)}\)* \(10^{0}\) / 1! = 0.000045 (rounded to 6 decimal places)

Therefore, the probability of no arrivals in one-minute period is 0.000045.

(b) To compute the probability that three or fewer passengers arrive in one-minute period, we can use the cumulative distribution function (CDF) of the Poisson distribution:

P(X <= 3) = sum from i=0 to 3 of P(X = i)

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= \(e^{-10}\) *\(10^{0}\) / 0! + \(e^{(-10)}\) * \(10^{1}\)/ 1! + \(e^{(-10)}\) * \(10^{2}\) / 2! + \(e^{(-10) }\)* \(10^{3}\)/ 3!

= 0.010336 (rounded to 6 decimal places)

Therefore, the probability that three or fewer passengers arrive in one-minute period is 0.010336.

(c) The arrival rate is 10 passengers per minute, which is equivalent to 10/60 = 1/6 passengers per second. Therefore, the expected number of arrivals in a 21-second period is (1/6) * 21 = 3.5 passengers. The probability of no arrivals in a 21-second period is given by the Poisson distribution with parameter lambda = 3.5:

P(X = 0) = \(e^{(-lambda)}\) * l\(lambda^{0}\) / 0! = \(e^{(-3.5)}\) * \(3.5^{0}\)/ 1! = 0.030197 (rounded to 6 decimal places)

Therefore, the probability of no arrivals in a 21-second period is 0.030197.

(d) The probability of at least one arrival in a 21-second period is equal to 1 minus the probability of no arrivals:

P(at least one arrival) = 1 - P(no arrivals)

= 1 - 0.030197

= 0.969803 (rounded to 6 decimal places)

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We have the expression,

Applying the product rule means,

So, we have,

Thus,

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Answer:

y=6

x=5

Step-by-step explanation:

x=(y+4)/2

-2(y+4)/2+2y=2

-y-4+2y=2

y-4=2

y=6

x=(6+4)/2

x=5

Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.

This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.

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Answer:

v = 87.96 cubic mi

Step-by-step explanation:

v = π r^2 h. but diameter is 4 so r =4/2 =2

v = 3.143 * 2^2 * 7

v = 3.143 * 4 *7

v =3.143 *28

v =87.96 cubic mi

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

Answer:

34650 dollars by next year

Step-by-step explanation:

Answer:

Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50

Answer:

i think its 10.5

Step-by-step explanation:

Answer:

David was 32 two years ago

Step-by-step explanation:

D = 2H + 4

H = 15

D = 30+4

D = 34

David was 32 two years ago

When Group A loses an item or items to Group B even though Group A's population grew at a faster rate than Group B's, the Simpson's Paradox occurs.

This statistical anomaly happens when a trend appears in different groups of data, but disappears or reverses when the groups are combined. It is crucial to consider the context and variables involved when analyzing data, as the Simpson's Paradox may lead to incorrect conclusions if only aggregate data is examined.

This paradox serves as a reminder to always investigate the underlying factors that may influence statistical results.

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To maximize the likelihood function, we take the derivative with respect to θ and set it equal to zero: d/dθ[L(θ|X1,X2,...,Xn)]=−n/θ+(X1+X2+⋯+Xn)/θ2=0.

The MLE for θ in the exponential distribution is simply the sample mean of the observed data.

The exponential distribution is a continuous probability distribution that describes the time between events in a Poisson point process. X1,X2,...,XnX1,X2,...,Xn is a random sample of size n from this distribution, which means that each XiXi is an independent and identically distributed random variable with the same exponential distribution.

The probability density function (pdf) of the exponential distribution is given by f(x:θ)=(1/θ)e−x/θ, where θ is the scale parameter. This means that the probability of observing a value x from the distribution is proportional to e−x/θ, with the constant of proportionality being 1/θ.

To estimate the value of θ based on the observed data, we can use the method of maximum likelihood estimation (MLE). The likelihood function for the sample X1,X2,...,XnX1,X2,...,Xn is given by L(θ|X1,X2,...,Xn)=∏i=1n(1/θ)e−Xi/θ=(1/θ)n e−(X1+X2+⋯+Xn)/θ.

Solving for θ, we get θ=(X1+X2+⋯+Xn)/n, which is the sample mean.

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Answer:

Step-by-step explanation:

It has one solution

Answer:

1st: 2:3(*yellow and pink)

2nd: 3:5(*pink and blue)

Let's multiply: 2/3 ×3/5= 2/5

Step-by-step explanation:

2/5 is the answer. (*note: it's already reduced in simplest form)

Hope it can help you lovelots

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

\(a^2+b^2=c^2\), where \(a\) and \(b\) are two legs of the triangle and \(c\) is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

\(3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}\)

Triangle 2:

\(0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}\)

Answer:

∠ABD = 45°

Step-by-step explanation:

Since ABCD is a square, its diagonals (Line BD) bisect the angles of the corners of the square (∠ABC) into two equal angles (∠ABD and ∠CBD). The angle of each corner is 90° so you can find ∠ABD.

2(∠ABD) = 90°

∠ABD = 90° ÷ 2

∠ABD = 45°

Answer:

n=28

Step-by-step explanation:

hope this helps!

Answer:

7) B, C

8) D

Step-by-Step-Explanation:

The first thing you need to solve for is the the parenthesis

the second one simplifies to x ≤ -7

Answer:

There's a rotation in our schedule if things we do everyday.

Step-by-step explanation:

Hope this helps :D

Answer:

a) 7in

b) 35ft

Step-by-step explanation:

Answer:

A) 7 in is the answer (42/6 = 7)

B) 30 ft is the answer (5x6)

The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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The first step to solve for r is (J) He should divide both sides of the equation by π.

The equation is given as:

A= πr^2

Divide both sides of the equation by π.

So, we have:

r^2 = A/π

Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.

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