8(x + 5) =
simplify each expression by distributing

The acute angle formed by the chord line of a wing and the relative wind is known as the "angle of attack."

A angle about which relative air meets an aerofoil is defined as the Angle of Attack.

Some key features regarding the angle of attack are-

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Aya can make 14 mats of 1 foot long.

Division is one of the fundamental arithmetic operation, which is performed to get equal parts of any number given, or finding how many equal parts can be made. It is represented by the symbol "÷" or sometimes "/"

Given that, Aya has 14\(\frac{2}{5}\) feet of chain. She wants to make pieces foot long mat.

Let can make x mats out of the given chain, since each mat is 1 foot long, so,

1×x =  14\(\frac{2}{5}\)

x = 72/5

x = 14.4

x ≈ 14

Hence, She can make 14 mats out of the given chain.

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Answer:

Step-by-step explanation:

the answer is 18 :)

The amount he needs to earn to buy the video game of 60 dollars is 18 dollars.

Jack made 25 dollars on Monday by cutting the grass and 17 dollars on Tuesday by raking leaves. Therefore, the amount of money he needs to earn to buy a video game of 60 dollars can be calculated as follows:

He earns 25 dollars on Monday by cutting grass.

He also earns 17 dollars on Tuesday by raking leaves.

Therefore,

amount he needs to earn to buy a 60 dollars video game = 60 - 25 - 17

amount he needs to earn to buy a 60 dollars video game = 60 - 42

amount he needs to earn to buy a 60 dollars video game = 18 dollars

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Answer:

0.1(175 – n) + 0.05n = 13.30

Step-by-step explanation:

0.1(175 – n) is solving for the amount of dimes, which is achieved by subtracting nickles fromt eh 175 which leaves us with the dimes.

+ 0.05n is the acutal value of the nickles themselves.

If this helps mark me brainliest

Let number of nickels be n

The equation is

\(\\ \sf\longmapsto 0.1n+0.05(175-n)=13.30\)

Why?

Answer:

-5(7a+ 6)

Explanation:

Given the expression:

-35a - 30

-35a = -5 * 7 * a

-30 = -5 * 6

You can see from the factors that -5 is common to both

Hence -5 is the GCF

Factoring out -5 from the expression will give;

-5(7a+ 6)

This gives the correct factor

The total number of views the video got over the course of the first 17 days is approximately 17,536.

To solve this problem, we can use the formula for the sum of a geometric sequence, which is given by:

Sn = a(1 - r^n) / (1 - r)

where

Sn is the sum of the first n terms

a is the first term

r is the common ratio between the terms

In this case, a = 800 (the first day's views), r = 1.05 (the 5% increase in views per day), and n = 17 (the number of days).

Substituting these values into the formula, we get:

Sn = 800(1 - 1.05^17) / (1 - 1.05) ≈ 17,536

Therefore, the video got approximately 17,536 views over the course of the first 17 days.

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Answer:

45

Step-by-step explanation:

this is the answer you need

The given fractions have equal value, so Liam is correct.

Equivalent fractions are defined as fractions that have different numerators and denominators but the same value. For example, 2/4 and 3/6 are equivalent fractions because they are both equal to 1/2. A fraction is part of a whole. Equivalent fractions represent the same part of a whole.  

Liam is claiming that the fraction -(5/12) is equivalent to 5/-12.

Thus, we can say that:

The fraction  -(5/12) can be described as the opposite of a positive number divided by a positive number. A positive number divided by a positive number always results in a positive quotient and its' opposite is always negative.

The fraction 5/-12 can be described as a positive number divided by a negative number which always results in a negative quotient

The fractions have equal value, so Liam is correct

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Zeina will earn AED 560 as simple interest after 4 years.

To calculate the simple interest earned by Zeina after 4 years, we can use the formula:

Simple Interest = Principal * Interest Rate * Time

Given:

Principal (P) = AED 7000

Interest Rate (R) = 2% or 0.02 (expressed as a decimal)

Time (T) = 4 years

Plugging in the values into the formula:

Simple Interest = 7000 * 0.02 * 4

Calculating the expression:

Simple Interest = 560 AED

Therefore, Zeina will earn AED 560 as simple interest after 4 years.

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We can conclude that options B and C are true, from X and Y are complements and demand for X is Qx d = a0+ aXPX + aYPY + aMM + aHH.

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Answer:

See below ↓

Step-by-step explanation:

14.

15.

Answer:

B

Step-by-step explanation:

1*3=3

2*3=6

3*3=9

etc.

(a)The amount of water in the tank is increasing.

(b)Evaluate  \(\int\limits^{18}_0(W(t) - R(t)) dt\) to get the number of gallons of water in the tank at t = 18.

(c)Solve part (b) to get the absolute minimum from the critical points.

(d)The equation can be set up as   \(\int\limits^k_{18}-R(t) dt = 1200\) and solve this equation to find the value of k.

What is the absolute value of a number?

The absolute value of a number is its distance from zero on the number line. It represents the magnitude or size of a real number without considering its sign.

To solve the given problems, we need to integrate the given rates of water flow to determine the amount of water in the tank at various times. Let's go through each part step by step:

a)To determine if the amount of water in the tank is increasing at time t = 15, we need to compare the rate of water being pumped in with the rate of water being removed.

At t = 15, the rate of water being pumped in is given by \(W(t) = 95Vt sin^2(\frac{t}{6})\) gallons per hour. The rate of water being removed is \(R(t) = 275 sin^2(\frac{1}{3})\) gallons per hour.

Evaluate both rates at t = 15 and compare them. If the rate of water being pumped in is greater than the rate of water being removed, then the amount of water in the tank is increasing. Otherwise, it is decreasing.

b) To find the number of gallons of water in the tank at time t = 18, we need to integrate the net rate of water flow from t = 0 to t = 18. The net rate of water flow is given by the difference between the rate of water being pumped in and the rate of water being removed. So the integral to find the total amount of water in the tank at t = 18 is:

\(\int\limits^{18}_0(W(t) - R(t)) dt\)

Evaluate this integral to get the number of gallons of water in the tank at t = 18.

c)To find the time t when the amount of water in the tank is at an absolute minimum, we need to find the minimum of the function that represents the total amount of water in the tank. The total amount of water in the tank is obtained by integrating the net rate of water flow over the interval [0, 18] as mentioned in part b. Find the critical points and determine the absolute minimum from those points.

d. For t > 18, no water is pumped into the tank, but water continues to be removed at the rate R(t) until the tank becomes empty. To find the value of k, we need to set up an equation involving an integral expression that represents the remaining water in the tank after time t = 18. This equation will represent the condition for the tank to become empty.

The equation can be set up as:

\(\int\limits^k_{18}-R(t) dt = 1200\)

Here, k represents the time at which the tank becomes empty, and the integral represents the cumulative removal of water from t = 18 to t = k. Solve this equation to find the value of k.

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Answer:

x = 1/2y + 3/2

y = 2x - 3

Step-by-step explanation:

Answer:

The answer is 89

Step-by-step explanation:

You take 557 from the 6 weeks and subtract it with 379 from the 4th week.

557-379=178

178 divided by 2 equal 89.

89 is the answer.

Answer:

1/64 or 1.5625%

Step-by-step explanation:

To get to the answer shown above, we need to have a basic understanding of how probability works. Let's focus on the first part: "What is the probability that Frank is interviewed first" Since there are 8 people in the interview, that means that 8 people has to be in the denominator. Frank is one person and he represents 1/8th of the entire interviewees. So, the probability that he is chosen first is 1/8. Then, for the second part, we are also asked the probability of both frank being chosen first and Ed being chosen second. Ed is again only one person and thus has a 1/8 probability of being chosen. But, we are not done yet. We need to multiple the probabilities together because they have to happen simultaneously and in order. 1/8*1/8=1/64 or 1.5625%

The solution of the given inequality 4(x² - 5) - (x² - 5)² > -12 is x ≥ √3 or x ≤ -√3.

The given inequality is 4(x² - 5) - (x² - 5)² > -12. In order to solve the given inequality, first, we will multiply (x² - 5)² by -1 to get rid of the squared term. Next, we will simplify the terms by using the distributive property. Then, we will collect the like terms and solve the inequality.

Multiply (x² - 5)² by -1. => -(x² - 5)² = -x⁴ + 10x² - 25

Now, the given inequality is:

4(x² - 5) - (x² - 5)² > -12

4(x² - 5) + x⁴ - 10x² + 25 > -12

Simplify the terms by using the distributive property:

4x² - 20 + x⁴ - 10x² + 25 > -12

Simplifying further:

x⁴ - 6x² + 13 > 0

Collect like terms and solve the inequality:

(x² - 3)² + 4 > 0

As the square of any number is always greater than or equal to 0, so

(x² - 3)² ≥ 0 ⇒ (x² - 3)² + 4 ≥ 4

Hence, x² - 3 ≥ 0 ⇒ x² ≥ 3 ⇒ x ≥ ±√3

Therefore, the solution of the given inequality is x ≥ √3 or x ≤ -√3.

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Answer:

The best point estimate of the population proportion p is 0.0251.

The 99​% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

In clinical​ trials, among 4547 patients treated with the​ drug, 114 developed the adverse reaction of nausea.

This means that \(n = 4547, \pi = \frac{114}{4547} = 0.0251\)

The best point estimate of the population proportion p is 0.0251.

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 - 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0191\)

The upper limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0251 + 2.575\sqrt{\frac{0.0251*0.9749}{4547}} = 0.0311\)

The 99​% confidence interval for the proportion of adverse reactions is (0.0191, 0.0311).

problem decoded dude

follow meh

Answer:

22 pounds and 13 ounces

Step-by-step explanation:

I hope this helps!

72 millimeters is equal to 2.83 inches.

Length is a measure of the distance between two points. There are different units of measurement for length, one of which is millimeters (mm) and another is inches (in). In order to convert from one unit to another, we use a conversion factor.

Here's how you convert 72 millimeters to inches:

1 inch = 25.4 millimeters

So, to convert 72 millimeters to inches, we divide by the conversion factor:

72 mm / 25.4 mm/in = 2.83 in

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a) The total number of functions will be 1,296 functions.

b) The total number of injective functions is  360.

c) There are total 15 increasing injective functions.

a) In order to calculate the total number of functions there are total 6 possible choices for each element present in the domain which is calculated to be  6^4 = 1,296 functions.

b)  An injective function can be defined as a function whose no two elements can me related to the same element present in the codomain. The first element present in the domain can be mapped to any of the 6 elements present in the codomain. But the second element of the domain can only be mapped with the 5 left elements os the codomain. Similarly third element of the domain could be related with only 4 elements,  and the fourth and the last element can be engaged to any of the remaining 3 elements.Therefore, the total number of injective functions can be calculated as 6 x 5 x 4 x 3 = 360.

c) In the case of increasing function, the values of the function increases as the input increases. In the mentioned function there are 4! = 24 ways to arrange the elements in the domain, but not all of these essentially corresponds to increasing functions. For example, the function f(1) = 4, f(2) = 3, f(3) = 2, f(4) = 1 is not increasing. But, if we choose any 4 different elements from the codomain, there is exactly one way to order them to create an increasing function. Therefore, there are total 15 ways to choose 4 distinct elements from the codomain, so there are 15 increasing injective functions.

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1. 135, 205, 330, 275, and 365 are divisible by 5.

2.  1, 4, and 7 can be filled in the blank space to make it divisible by 3.

3. 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.

4. 81 is the only composite number all the other nos. are prime.

Divisibility rules are methods for determining whether a number is divisible by a certain number or not without actually dividing.

We know numbers that are divisible by 5 are those numbers

having 5 or 0 in their unit place.

∴ 135, 205, 330, 275, and 365 are divisible by 5.

A number is divisible by 3 if the sum of all the digits is divisible by 3.

∴ 3,71_ has a digit sum of 11, so 1, 4, 7 can be filled in the blank space to make it divisible by 3.

A list of all the factors of 30 is those numbers that divide 30 completely.

∴ 1, 2, 3, 5, 6, 10, 15, and 30 are the factors.

We know composite numbers are those numbers that are not prime.

∴ 81 is the only composite number all the other nos. are prime and they have only two factors 1 and the number itself.

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Answer:

a = 26.241

b = 47.448

Step-by-step explanation:

Potential energy can be defined as energy that is stored inside an object due to its position or configuration.The potential energy function for f⃗ is given by:-U = α (x^2 / 2)

Given a force vector f⃗ and its corresponding potential energy function u(x,y,z), the force is defined as the negative gradient of the potential energy function. In order to get the potential energy function for f⃗ , we need to integrate force with respect to distance. We know that force is equivalent to the derivative of potential energy with respect to distance, so we can use the fundamental theorem of calculus to solve for u(x).We are given that u=0 when x=0, so we can define our initial condition. Using the above equation, we get:-du/dx = f(x)⇒ du = -f(x)dx Integrating both sides, we get: u(x) = -∫f(x)dx + Cwhere C is a constant of integration. We can solve for C using our initial condition: u(x=0) = 0 = CSo, the potential energy function for f⃗ is:u(x) = -∫f(x)dx + 0Now, we can express f⃗ in terms of α and x, which yields :f⃗ = -αxî where î is the unit vector in the x-direction. Substituting this value for f⃗ into our equation for potential energy function, we get:u(x) = -∫(-αx)dx = 1/2αx² + C.

Therefore, the potential-energy function for f⃗ when u=0 at x=0, and expressed in terms of α and x, is given by u(x) = 1/2αx².

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Answer:

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions