2 (3х + 5) = 22
Step by step please

Answer:

=3b+9

Step-by-step explanation:

Let's simplify step-by-step.

7−b+2+4b

=7+−b+2+4b

Combine Like Terms:

=7+−b+2+4b

=(−b+4b)+(7+2)

=3b+9

Answer:

3b+9

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

25 and 8

Step-by-step explanation:

a/b = 3.125

a/b = 3125/1000

make it simple (divide by 25)

a/b = 125/40

ah, can be more simple (divide by 5)

a/b = 25/8

see 25 + 8 is less than 50

Step-by-step explanation:

1.25/8=3.125

50/16=3.125

but it tells that both two numbers are less than 50 then,the numbers are 25 and 8

√18

The closest perfect square to 18 are 16 and 25. Hence the closest integers to √18 are 4 and 5.

ii. √360

The closest perfect squares to 360 are 324 and 361. Hence the closest integers to √360 are 18 and 19.

-√195

The closest integers to 196 and 169. Hence the closest integers to -√195 are -14 and -13.

Answer:

For a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

Step-by-step explanation:

The amount of fuel reserve that must be carried on a day VFR (Visual Flight Rules) flight, the FAA requires a minimum fuel reserve of 30 minutes at cruising speed for day VFR flights. To calculate the gallons needed for a Piper Archer, follow these steps:

1. Determine the fuel consumption rate of the Piper Archer at cruising speed, which is typically around 10 gallons per hour (GPH).
2. Divide the required fuel reserve minutes (30) by the minutes in an hour (60): 30 / 60 = 0.5 hours.
3. Multiply the fuel consumption rate (10 GPH) by the required fuel reserve time in hours (0.5 hours): 10 * 0.5 = 5 gallons.

Therefore, for a day VFR flight in a Piper Archer, you would need a fuel reserve of approximately 5 gallons.

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Answer:

domain is where the line crosses the x-axis, and range is always all real numbers

Step-by-step explanation:

The factor is (w-2)(w-12) and the solution of the expression is  w =2 or 12

Given: 2wto power of 2 minus 16w=12w-48.

This expression can be written as 2w² - 16w = 12w-48

2w² - 16w = 12w-48

2w² - 16w-12w = -48

2w² - 28w + 48 = 0

Divide through by 2:

w² - 14w +  24 = 0

w² - 12w-2w +  24 = 0

Factorize:

(w-2)(w-12) = 0

w-2 = 0 or w-12 = 0

w =2 or 12

Therefore, the solution of 2w² - 16w = 12w-48 is w =2 or 12

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The equation of the function in standard form is -5.83x² + 816.2x - 25895 (option c).

To find the equation of the function in standard form, we can use the given values of f(x) and x to form a system of equations. Since we know that the function is quadratic, we need at least three values of f(x) to solve for the constants a, b, and c.

Using the given values from the table, we can form the following system of equations:

1,272 = a(50)² + b(50) + c

1,884.5 = a(55)² + b(55) + c

2,322 = a(60)² + b(60) + c

2,584.5 = a(65)² + b(65) + c

2,672 = a(70)² + b(70) + c

2,584.5 = a(75)² + b(75) + c

2,322 = a(80)² + b(80) + c

To find the vertex of the parabola, we can use the formula h = -b/2a and k = f(h). Once we have the vertex, we can substitute its values into the vertex form of the equation to get the standard form of the quadratic function.

Using the given values from the table, we can find the vertex of the parabola:

h = -b/2a b = (f(60) - f(70))/(60-70)

b = -49 h = -b/2a 60 = -(-49)/(2a)

a = -5.83

k = f(h) k = f(60) k =25,895

Now, we have the values of a, h, and k, which we can substitute into the vertex form of the equation:

y = a(x-h)² + k y = -5.83x² + 816.2x - 25895

Expanding this equation, we get:

y = -5.83x² + 816.2x - 25895

This is the equation of the function in standard form.

Therefore, the answer is (C) -5.83x² + 816.2x - 25895

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Answer:

B and D

Step-by-step explanation:

The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.

If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.

Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.

Answer:

b and d

Step-by-step explanation:

Answer:

14 units^2

Step-by-step explanation:

The formula for a triangle is 0.5*lw, where l = length and w = width. Count the unit squares to find the length and width.

Length = 7

Width = 4

0.5*7*4 = 7*2 = 14 units^2

Step-by-step explanation:

Robert: 360/ 6 = 62 words per minute

Jocelyn: 525/ 5= 58 words per minute

Jocelyn types faster. I haven't done 5th grade math in so long... lol if wrong please correct me..

Answer:

b. 4, 5

Step-by-step explanation:

4+1=5 which is greater than 4 and 5+1=6 which is also greater than 4

Answer:

  r = 0.073/12 ≈ 0.0060833...

Step-by-step explanation:

In the given amortization formula, the interest rate (r) is the rate for one payment period.

The given 7.3% interest rate is presumed to be a nominal annual interest rate. Since there are 12 months in a year, the corresponding monthly interest rate is ...

  7.3%/12 = 0.073/12 ≈ 0.00608333...(repeating)

The value of r that goes in this formula is 0.0608333...(repeating).

Answer:

0.61

Step-by-step explanation:

The probability of having fifth tail occurring before the tenth head if a fair coin is flipped repeatedly is 0.377.

To solve this problem, we need to use the concept of negative binomial probability distribution.

The negative binomial probability distribution is a type of probability distribution that is used to describe the probability of k failures occurring before r successes in a sequence of independent and identical trials.

Let us consider the problem at hand.

We need to find the probability that the fifth tail occurs before the tenth head if a fair coin is flipped repeatedly.

Let X be the number of trials required to obtain the fifth tail. Then, X follows a negative binomial distribution with parameters r = 5 (number of successes we want) and p = 0.5 (the probability of obtaining a tail in a single flip).

The probability of obtaining the fifth tail on the kth trial is given by: P(X = k) = ᵏ-¹C₄(1 - p)ᵏ-ʳ *

where ᵏ-¹C₄ denotes the number of combinations of (k - 1) trials that yield 4 tails before the kth trial.

Since X should occur before the tenth head, k should be less than or equal to 9.

Therefore, we can calculate the required probability as follows:

P(X ≤ 9) = ∑P(X = k) for k = 5 to 9

= (⁴C₄*0.5⁵) + (⁵C₄*0.5⁶) + (⁶C₄*0.5⁷) + (⁷C₄*0.5⁸) + (⁸C₄*0.5⁹)

= (1*0.03125) + (5*0.015625) + (15*0.0078125) + (35*0.00390625) + (70*0.001953125)

= 0.376953125

Therefore, the probability that the fifth tail occurs before the tenth head if a fair coin is flipped repeatedly is 0.377.

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Answer:

20%

Step-by-step explanation:

All angles of a triangle add up to 180 degrees.

A right triangle has one right angle, which means an angle is 90 degrees.

If another is 70 degrees then we already know two of them. Add them up to get 160 degrees. Then subtract that from 180 degrees to get 20 degrees. Hope it helps!

Brainliest please!

Answer:

okay i will gladly

The marginal cost of the function C(Q) = aQ^3 + bQ^2 + cQ + d is given by MC(Q) = 3aQ^2 + 2bQ + c.

To find the marginal cost, we need to differentiate the cost function C(Q) with respect to Q. Let's differentiate each term separately:

d/dQ (aQ^3) = 3aQ^2

d/dQ (bQ^2) = 2bQ

d/dQ (cQ) = c

Adding these differentials together, we get the marginal cost:

MC(Q) = 3aQ^2 + 2bQ + c

The critical Q* at which the cost is minimized can be found by setting the marginal cost MC(Q) equal to zero and solving for Q. However, to determine the condition on a, b, c, and d for cost minimization, we would need more information or constraints related to the problem.

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Given equation is:

let us simplify,

use the formula

The answer is

Wronskian of y1 = e^{5x} and y2 = e^{−2x} is -7e^{3x}. General solution to differential equation (d²y/dx²) -10(dy/dx) + 25y = 0 is y(x) = c1e^{5x} + c2e^{-2x} on interval of (-∞, ∞).

To compute the Wronskian of the functions y1 = e^{5x} and y2 = e^{−2x}, we use the formula:

W(y1,y2) = y1*y2' - y1'*y2

where y1' and y2' denote the derivatives of y1 and y2 with respect to x, respectively.

Taking the derivatives, we have:

y1' = 5e^{5x}

y2' = -2e^{-2x}

Substituting these values into the formula, we get:

W(y1,y2) = e^{5x}*(-2e^{-2x}) - (5e^{5x})*e^{-2x}

W(y1,y2) = -2e^{3x}- 5e^{3x}

W(y1,y2) = -7e^{3x}

Therefore, the Wronskian of y1 = e^{5x }and y2 = e^{−2x} is -7e^{3x}.

To find the general solution to the differential equation (d² y)/(dx²) - 10(dy/dx) + 25y = 0, we use the fact that y1 and y2 are linearly independent solutions, and thus the general solution has the form:

y(x) = c1y1(x) + c2y2(x)

Substituting y1 and y2, we get:

y(x) = c1e^{5x} + c2e^{-2x}

This is the general solution on the entire real line (-∞, ∞).

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The solution of the function, h(-3) is - 1 / 2.

Function relates input and output. In other words, a function is an expression that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Therefore, let's solve the function as follows:

h(x) = 3x + 3 / x² + x + 6

Let's find h(-3) as follows:

We will input the value of x as -3 in the function.

Hence,

h(-3) = 3(-3) + 3 / (-3)² + (-3) + 6

h(-3) = -9 + 3 / 9 - 3 + 6

h(-3) = -6 / 12

h(-3) = - 1 / 2

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Answer:

what r u asking

Step-by-step explanation:

Answer:

a)  x=24/k

b)  x=24/3

    x=8

Step-by-step explanation:

Quotient meant division and you are trying to find the quotient (x) so you divide 24 by 3 to get 8

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

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The row numbers along the left side of the worksheet are 1, 2, 4, 5, 6. We can observe that there is a missing number in the sequence, specifically the number 3. Therefore, based on the pattern, we can deduce that row 3 is missing from the worksheet.

Based on the given information, the row numbers along the left side of the worksheet are 1, 2, 4, 5, 6, with a missing number in the sequence, which is the number 3.

The presence of the numbers 1, 2, 4, 5, and 6 indicates that rows corresponding to those numbers exist in the worksheet. However, there is no row with the number 3 mentioned in the sequence. Thus, we can conclude that row 3 is missing from the worksheet.

It is important to note that the missing row could be intentional or accidental, but based on the given information, we can deduce that there is a discontinuity in the row numbering, specifically the absence of row 3.

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Answer: \(20x-21y+14\)

Step-by-step explanation:

\(\frac{1}{5}(150x-80y+50-50x-25y+20)\\\\=\frac{1}{5}(100x-105y+70)\\ \\ =20x-21y+14\)

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

The phase of inferential statistics which is sometimes considered to be the most crucial because errors in this phase are the most difficult to correct is "data gathering".

Inferential statistics are frequently employed to compare treatment group differences.

Some characteristics of inferential statistics are-

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Answer:

ikl;'

Step-by-step explanation: