suppose that n≠0 and n≠1. show that the substitution v=y1−n transforms the bernoulli equation dy/dx p(x)y=q(x)yn into the linear equation dy/dx (1−n)p(x)v(x)=(1−n)q(x).

Let n =  number of months both have their services

Provider A:

C = 35.50n + 55

Provider B:

B = 35.50n

Provider A will always cost more than

provider B because of the $55 installation fee

Answer:

E and F

Step-by-step explanation:

1 and 5  

3 and 7 are corresponding angles.

A pair of angles on the same side of the transversal, one of which is an interior angle and the other one is an exterior angle but do not form a linear pair is known as corresponding angles

Solving a linear equation we can see that the value of x is 6.

On the diagram we can see that:

m∠PQS = 17x - 3

m∠SQR = 75°

m∠PQR = 30x - 6

We know that:

m∠PQS  + m∠SQR = m∠PQR

Replacing the expressions that we have above we will get the equation:

17x - 3 + 75 = 30x - 6

Now we can solve this linear equation for x.

17x + 72 = 30x - 6

72 + 6 = 30x - 17x

78 = 13x

78/13 = x

6 = x

that is the value of x.

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Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

The answer would be Equation B:

x2 - 8x + 41

Step-by-step explanation:

The statement is true as  a function f(x) is continuous at a specific point, in this case, x=3, then it implies that the function is also differentiable at that point.

The concept of continuity and differentiability are closely related in calculus. If a function is continuous at a particular point, it means that the function is "smooth" and has no abrupt changes or breaks at that point. In other words, as x approaches the specific point, the function values approach a single, well-defined value.Differentiability, on the other hand, relates to the existence of the derivative of a function at a point. If a function is differentiable at a point, it means that the slope or rate of change of the function is well-defined at that point.

In this case, since the function f(x) is given to be continuous at x=3 and f(3) is defined as 15, it implies that the function has no abrupt changes at x=3 and the function values approach 15 as x approaches 3. Consequently, the function is also differentiable at x=3, indicating that the slope or rate of change of the function is well-defined at that point.

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To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.

1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%

3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:

a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.

b) Cool colors (G, B, I, or V): There are 4 cool colors.

c) The letter A: There is 1 A in "INDIANA."

Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700

Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)

2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:

a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.

b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.

c) Consonants in "INDIANA": There are 4 consonants.

Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500

Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)

3. Either chooses a number divisible by 7 or 8, any color, and a vowel:

a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.

b) Any color: There are 7 possible colors.

c) Vowels in "INDIANA": There are 3 vowels.

Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100

Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)

4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:

a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.

b) Blue or green colors: There are 2 possible colors (blue or green).

c) L or N in "INDIANA": There are 2 letters (L or N).

Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180

Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400

Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)

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Answer:

201

Step-by-step explanation:

177 times 2=354

354-153=201

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

2/xy

Step-by-step explanation:

you have to do the math but im not very sure on this

Answer:

its  b

Step-by-step explanation:

took the quiz

Answer:

I would go with D

Step-by-step explanation:

You can look at the graph and answer it

The area of the equilateral triangle with a side length of 8 cm is 16√(3) cm².

To find the altitude of an equilateral triangle with a side length of 8 cm, we can use the Pythagorean theorem.

The Pythagorean theorem is states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

In these triangles, the side opposite the 60-degree angle is half the length of the hypotenuse, which is 8 cm. Using the Pythagorean theorem, we can find that the length of the altitude is:

Altitude = √(8² - (4²)) = √(48) = 4√(3)

Now that we know the altitude, we can plug it into the formula for the area of a triangle:

Area = (base x height) / 2 = (8 x 4√(3)) / 2 = 16√(3) cm²

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Answer:

wait where is the photo?

Step-by-step explanation:

The minimum sample size needed to estimate the proportion of U.S. adults supporting the proposed amendment with a 95% c

To determine the sample size needed for estimating the proportion of U.S. adults supporting the proposed amendment to the constitution with a confidence level of 95% and a margin of error of 4%, we can use the formula:

n = (Z^2 * p * (1 - p)) / (E^2)

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (95% confidence level corresponds to a Z-score of approximately 1.96)

p = estimated proportion (since we don't have an estimate, we can assume p = 0.5, which provides the maximum sample size required)

E = margin of error (0.04 in this case)

Plugging in the values, we get:

n = (1.96^2 * 0.5 * (1 - 0.5)) / (0.04^2)

n = 600.25 / 0.0016

n ≈ 37515.625

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To find the matrix b, we need to first understand what the notation "ab = []" means. In matrix multiplication, the product of two matrices a and b is denoted as ab. Therefore, the matrix b is an empty matrix with zero columns.

However, in this case, we are given that ab is an empty matrix, which means that the product of a and b results in a matrix with zero elements.
Given that a = [1 -2 -2 5], we can write it as a 2x2 matrix as follows:
a = [1 -2; -2 5]
To find b, we need to solve the equation ab = [] which means that the product of a and b should result in an empty matrix.
To solve for b, we need to know the dimensions of matrix b. Since the product of a 2x2 matrix and a bx2 matrix results in a matrix with dimensions of bx2, we can assume that b is a 2x0 matrix, i.e., a matrix with zero columns.
Therefore, b = [ ]
In other words, the matrix b is an empty matrix with zero columns.
In conclusion, to find the matrix b given a = [1 -2 -2 5] and ab = [], we need to solve the equation ab = [] which results in an empty matrix with zero columns.

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well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

The radius and the diameter for each circle is given as follows:

16. r = 17 cm, d = 34 cm.

17. r = 35 cm, d = 70 cm.

18. r = 29 ft, d = 58 ft.

19. The circumference of the circle is given as follows:

38 feet.

The area of a circle of radius r is given by π multiplied by the radius squared, as follows:

A = πr²

Hence the formula for the radius, depending on the area, is given as follows:

r = square root(A/π)

The diameter is twice the radius.

Hence the radius for each circle is given as follows:

The circumference of a circle of diameter d is given as follows:

C = πd.

Hence the circumference for item 19 is given as follows:

C = 12π

C = 38 feet.

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Answer:

2 × pi × radius

..................

Cooper left his dinner server a 19% tip.

To find the percent tip, we need to first subtract the cost of the meal from the total amount paid, which will give us the tip amount:

Tip amount = Total amount paid - Cost of the meal

Tip amount = $33.32 - $28

Tip amount = $5.32

Now we can calculate the percentage of the tip by dividing the tip amount by the cost of the meal and multiplying by 100:

Percent tip = (Tip amount / Cost of the meal) x 100

Percent tip = ($5.32 / $28) x 100

Percent tip = 0.19 x 100

Percent tip = 19%

Therefore, Cooper gave a 19% tip on his dinner.

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Solution

1) The volume of a cone.

The volume of a cylinder = 36

What is the relationship between the volume of the cone and the volume of the cylinder? (Answer: The cone takes up one-third of the volume of the cylinder.)

2) Volume of a sphere

The relation between the volume of sphere and the volume of cylinder is that the volume of the sphere is two-third of the volume of the cylinder with a height equal to the diameter of the sphere and the same radius.

Final answer

Answer:

The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)

Step-by-step explanation:

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

Answer:

(C) Two scoops for $4.28 is the best rate

Step-by-step explanation:

each scoop is the cheapest at $1.07 in 4 for $4.28

2.98÷2=1.49

3.69÷3=1.23

4.28÷4=1.07

(A) Two scoops for the $2.98 deal is $2.98

(B) Two scoops for the $3.69 deal is $2.46

(C) Two scoops for the $4.28 deal is $2.14

To find the best rate for ice cream scoops, we need to divide the price by the number of scoops.

• 2 scoops for $2.98 = $1.49 per scoop • 3 scoops for $3.69 = $1.23 per scoop • 4 scoops for $4.28 = $1.07 per scoop

Therefore, three scoops for $3.69 is the best rate at $1.23 per scoop.

first off let's notice a few things on that function.

the graph "passes" -5, that's a root, the graph "touches" 3 and goes back up, that's another root, but that's a root with an "even multiplicity", the heck does that mean? well, it means there are at least two roots, could be 4 or 6 or 18, so long is even, but we're shooting for the least degree, so we'll settle for 2.

now hmm, let's reword that

what's the equation of a function with roots at -5 and 3 twice, that it passes through (0 , 9)?

\(\begin{cases} x = -5 &\implies x +5=0\\ x = 3 &\implies x -3=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x +5 )( x -3 )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\textit{we also know that } \begin{cases} x=0\\ y=9 \end{cases} \\\\\\ a ( 0 +5 )( 0 -3 )( 0 -3 ) = 9\implies 45a=9\implies a=\cfrac{9}{45}\implies a=\cfrac{1}{5} \\\\[-0.35em] ~\dotfill\)

\(\cfrac{1}{5}(x+5)(x-3)^2=y\implies \cfrac{1}{5}(x+5)(x^2-6x+9)=y \\\\\\ \cfrac{1}{5}(x^3-x^2-21x+45)=y\implies {\Large \begin{array}{llll} \cfrac{x^3}{5}-\cfrac{x^2}{5}-\cfrac{21x}{5}+9=y \end{array}}\)

Check the picture below.

Answer:

corresponding angles

the angles are equal

equation: 9x+8 = 4x+18

x=2

angle measurements: 26⁰

Step-by-step explanation:

solve your equation

9x+8 = 4x+18

subtract 4x from each side

5x + 8 = 18

subtract 8 from each side

5x = 10

divide by 5

x = 2

insert x=2 into original equations to make sure you get the same answer.

9(2) + 8 = 26

4(2) + 18 = 26

Events A and B are dependent (option B).

Dependent events are events that can occur together. If event A occurs then event B would occur. In a standard deck of cards, cards that are hearts are red in colour. If a heart card is picked, then it would be red in colour.

Independents events are events whose occurrence do not depend on each other. They are random events.

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Answer:

its A. 48.125

Step-by-step explanation:

it just is

Answer:

a

Step-by-step explanation: