Consider the following sequence of numbers

Answer:

For every 3 tablespoons of cocoa, Nate uses 1 tablespoon of sugar.

Step-by-step explanation:

Since the sugar is halved, the cocoa should be halved as well. 6/2 is 3.

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

In summary the estimated value of the stock after 18 years is $34.

Why it is?

To find the value of the stock after 18 years, we need to look at the point on the graph that corresponds to x = 18.

Looking at the graph, we can see that there is no point on the graph that corresponds exactly to x = 18. However, we can estimate the value of the stock by drawing a line through the points (15, 40) and (20, 30), and extending it to x = 18.

Using the slope-intercept form of a line (y = mx + b), we can find the equation of this line:

slope, m = (30 - 40)/(20 - 15) = -2

y = mx + b

40 = -2(15) + b

b = 70

So the equation of the line is y = -2x + 70. To find the value of the stock after 18 years, we plug in x = 18 and solve for y:

y = -2(18) + 70

y = 34

Therefore, the estimated value of the stock after 18 years is $34.

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Answer:

translated 9 units to the right and 2 units down

Answer:The first one is translated 9 units to the right and 2 units down.The second is reflected across the x-axis and the last i reflected across the y-axis.

Step-by-step explanation:Please give brainliest if correct.

Answer:it’s b :)

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

How to convert litres into grams?

In order to expand and simplify an expression, we need to multiply out the brackets and then simplify the resulting expression by collecting the like terms. Expanding brackets is the process by which we remove brackets. It is the reverse process of factorization.

To expand and simplify a binomial, use the distributive property. The distributive property states that for any two binomials, the product of each term in the first binomial and each term in the second binomial should be added together to get the expanded form of the expression.

For example, the binomial (2x + 3)(4x + 7) can be expanded using the distributive property by multiplying each term of the first binomial with each term in the second binomial. This gives us:

(2x × 4x) + (2x × 7) + (3 × 4x) + (3 × 7)

And simplifying this expression yields 8x² + 14x + 21.

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The maximum difference in radius for 295/75R22.5 trailer tires is 0.625 inches.

The tire size 295/75R22.5 represents certain measurements. The first number, 295, refers to the tire's width in millimeters. The second number, 75, represents the aspect ratio, which is the tire's sidewall height as a percentage of the width. The "R" stands for radial construction, and the number 22.5 denotes the diameter of the wheel in inches.

To calculate the maximum difference in radius, we need to determine the difference between the maximum and minimum radius values within the given tire size. The aspect ratio of 75 indicates that the sidewall height is 75% of the tire's width.

To find the maximum radius, we can calculate:

Maximum Radius = (Width in millimeters * Aspect Ratio / 100) + (Wheel Diameter in inches * 25.4 / 2)

For the given tire size, the maximum radius is:

Maximum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 388.98 mm

Similarly, we can find the minimum radius by considering the minimum aspect ratio value (in this case, 75) and calculate:

Minimum Radius = (295 * 75 / 100) + (22.5 * 25.4 / 2) ≈ 368.98 mm

The difference in radius between the maximum and minimum values is:

Difference in Radius = Maximum Radius - Minimum Radius ≈ 388.98 mm - 368.98 mm ≈ 20 mm

Converting this to inches, we have:

Difference in Radius ≈ 20 mm * 0.03937 ≈ 0.7874 inches

Therefore, the maximum difference in radius for 295/75R22.5 trailer tires is approximately 0.7874 inches, which can be rounded to 0.625 inches.

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The magnitude of the average velocity vector is approximately 3.651 m/s.

To find the magnitude of the average velocity vector, we need to calculate the displacement and divide it by the time taken.

Representation:

Initial position: D1 = (50 m North, 10 m East)

Final position: D2 = (5 m North, 35 m East)

Time taken: t = 15 seconds

Equations:

Displacement vector (ΔD) = D2 - D1

Average velocity vector (\(V_{avg}\)) = ΔD / t

Algebra work:

ΔD = D2 - D1

   = (5 m North, 35 m East) - (50 m North, 10 m East)

   = (-45 m North, 25 m East)

|ΔD| = √((-45)^2 + 25^2)  [Magnitude of the displacement vector]

\(V_{avg}\) = ΔD / t

       = (-45 m North, 25 m East) / 15 s

       = (-3 m/s North, 5/3 m/s East)

|\(V_{avg}\)| = √((-3)^2 + (5/3)^2)  [Magnitude of the average velocity vector]

Symbolic answer:

The magnitude of the average velocity vector is approximately 3.651 m/s.

Units check:

The units for displacement are in meters (m) and time in seconds (s). The average velocity is therefore in meters per second (m/s), which confirms the units are consistent with the calculation.

Therefore, the magnitude of the average velocity vector is approximately 3.651 m/s.

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Answer:

20 + 16 = 36

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

Answer:

honestly,I also really didn't know the ans so I took it from internet. hope you won't mind

Answer:

1.) 12:30am

2.) 7:00pm

3.) 22:55 or 10:55pm

4.) 12:15am

5.) 5:38am

Step-by-step explanation:

Not me having to turn the clock on my phone to military time to make sure my answers were right XD

Answer:

1st and 2nd

Step-by-step explanation:

I'm not so sure but I think it's the first and second one

Answer:

The total number of cookies they baked altogether is 216 cookies

Step-by-step explanation:

Here, we want to know the number of cookies that they baked together

From the question, we are told that Clementine baked 72 cookies while Jake baked twice as much

what this mean is that the number of cookies baked by Jake will be (2 * 72) = 144 cookies

Thus, the total number of cookies baked by the two of them will be;

72 + 144 = 216 cookies

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

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The 1,000 feet and 200 feet distances of the top and the base of the skyscraper from the point on the ground, indicates, using Pythagorean Theorem that the height of the skyscraper is 400·√6 feet

Pythagorean Theorem states that the square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the other two sides.

The distance of the top of the skyscraper from a point on the ground = 1000 feet

The distance of the base of the skyscraper from the same point = 200 feet

Therefore, according to the Pythagorean Theorem, in the right triangle formed by the ray from the top of the skyscraper to the point on the ground, the height, h, of the skyscraper, and the distance of the point on the ground from the skyscraper, we get;

1000² = h² + 200²

h² + 200² = 1000²

h² = 1000² - 200² = 960,000

h = √(960,000) = 400·√6

The height of the skyscraper is 400·√6 feet

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Answer:

Ok

Step-by-step explanation:

-2 Cancel out from both sides

(2x + 1) = (2x - 1)

Kai the answer is 0= -2

Answer:

There is no solution.

Step-by-step explanation:

2x+1=2x-1

2x-2x=-1-1

0=-2

To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).

If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.

For example if we have matrices: A, B & C and we can write matrix D as follows:

Then D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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Answer:

14 ounces of blue paint

Step-by-step explanation:

The ratio of blue to yellow is 2:7

To solve this problem we can make a proportion:

2/7=x/49

the numerator represents the blue paint, the denominator represents the yellow paint

To solve the proportion you have to cross multiply:

2*49=7*x

x=14

She needs to add 14 oz of blue paint

I hope this helps :)

Answer:

y=-2(x+8)²-7

Step-by-step explanation:

Given: y=-2x²+5

After transformations: y=-2(x+8)²-7

Vertex would be (h,k) -> (-8,-7) instead of (0,5)

The function of the polynomial graph when factored is (d) \(f(x) = x^3 - 8x^2+ 21x - 18\)

From the question (see attachment), we have the following highlights:

This means that:

So, the function of the graph is:

\(f(x) = (x - 2)(x - 3)^2\)

Expand the exponent

\(f(x) = (x - 2)(x^2 - 6x + 9)\)

Expand

\(f(x) = x^3 - 6x^2 + 9x - 2x^2 + 12x - 18\)

Collect like terms

\(f(x) = x^3 - 6x^2 - 2x^2+ 9x + 12x - 18\)

\(f(x) = x^3 - 8x^2+ 21x - 18\)

Hence, the function of the graph is (d)

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Answer:

23.8

Step-by-step explanation:

7% = 0.07

Calculate 7% of 340

We take

340 times 0.07 = 23.8

So, 7% of 340 is 23.8

PLEASE GIVE BRAINLIEST! :)

Answer:

23.8

Step-by-step explanation:

percentage/100 = part/whole

where the part is what we want to find (7% of 340)

and the whole is 340.

Solving for the part, we get:

7/100 = part/340

Multiplying both sides by 340, we get:

part = (7/100) * 340

part = 23.8

Therefore, 7% of 340 is 23.8.

Hello! First, let's remember:

We can write a point as a cartesian coordinate (x, y).

The exercise has given two points, A(4,3) and B(8,1).

To calculate the slope of a line, we can use the formula below:

Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:

To find this length, we have to use another formula. Now we will calculate the distance between two points:

Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:

This value will be the medium point. To calculate it, we'll use another formula:

Still considering the same values for (x1, y1) and (x2, y2), let's replace them:

The midpoint of segment AB will be at point X (6, 2).

You can see this line represented in a cartesian plan below:

Each friend will receive "x/5" antique letters, where "x" represents the total number of antique letters in the box.

Sasha wants to give an equal number of letters to each of her five friends. The box of antique letters contains the letters that she wants to distribute among her friends. The question is to determine how many antique letters each friend will receive.

The total number of antique letters in the box is unknown. Let's assume that there are "x" antique letters in the box. If Sasha wants to distribute "x" letters among five friends equally, she can find out how many letters each friend will receive by dividing the total number of antique letters by the number of friends. Hence, each friend will receive x/5 letters.

To summarize, each friend will receive "x/5" antique letters.

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Answer:

A. 7,6,14

Step-by-step explanation:

Rules for side lengths of triangle.

1. Any side should be less then the sum of the other two angles.

2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)

A.

7 < 6+14 .  Correct

7> 14-6 .     Incorrect

This cannot be a solution (impossible)

B.

4<4+4 .  Correct

4>4-4 .  correct

This is a solution (equilateral triangle)

C.

6<6+2 .  Correct

6>6-2 .  Correct

This is a solution (isosceles triangle)

D.

7<8+13 . Correct

7>13-8 . Correct

This is a solution (scalene triangle)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion.

To calculate the required sample size, we can use the formula:

n = (\(z^2\) * p * q) /\(e^2\)

where n is the sample size, z is the z-score corresponding to the desired level of confidence (in this case, 2.576 for 99% confidence), p is the estimated population proportion (0.165, based on the NWBC's finding), q is 1-p, and e is the maximum error we want to tolerate (in this case, 0.06 or 6 percentage points).

Substituting the values, we get:

n = (2.576^2 * 0.165 * 0.835) / \(0.06^2\)

Solving for n, we get:

n ≈ 329

Therefore, a sample size of 329 would be required to be 99% confident that the estimated proportion of women-owned businesses not providing employee benefits is within 6 percentage points of the true population proportion. Note that this assumes a simple random sample and that the population size is much larger than the sample size, so the finite population correction is not needed.

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With a speed of 0.419 m/s, the rider fast is a rider rising when his seat is 16m above ground level

The formula for tangential velocity is 2*pi*r/T --> 2*pi*10/120 --> pi/6.

It is 6 meters above the center of the wheel while the rider is 16 meters above the ground.

The horizontal portion of this distance must be 8 meters as its separation from the wheel's center is 10 meters (depending on the radius).

This indicates that the velocity and seat both make angles of 36.87 degrees off vertical and arctan(6/8) over the origin, respectively.

We will take into account the vertical component of the tangential velocity since the rate at which the seat is rising is what we're interested in.

Pi/6 * cos(arctan(6/8)) yields a value of 0.419 m/s.

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Step-by-step explanation:

Note that the denominators in the expression are perfect squares:

\( {x}^{2} - 5xy + 6 {y}^{2} = (x - 2y)(x - 3y)\)

\( {x}^{2} - 4xy + 3 {y}^{2} = (x - y)(x - 3y)\)

\( {x}^{2} - 3xy + 2 {y}^{2} = (x - y)(x - 2y)\)

We can then write the given expression as

\( \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}\)

\( \frac{1}{ {x}^{2} - 5xy + 6 {y}^{2} } + \frac{a}{{x}^{2} - 4xy + 3{y}^{2} } + \frac{1}{{x}^{2} - 3xy + 2{y}^{2}}\)

\( = \frac{1}{(x - 2y)(x - 3y)} + \frac{a}{(x - y)(x - 3y)} + \frac{1}{(x - y)(x - 2y)}\)

\( = \frac{(x - y)(x - 2y) {(x -3y)}^{2} + a {(x - y)}^{2} (x - 2y)(x - 3y) + (x - y){(x - 2y)}^{2}(x - 3y) }{ {(x - y)}^{2} {(x - 2y)}^{2} {(x - 3y)}^{2} } \)

Answer:

x=39

Step-by-step explanation:

I can explain later but I know you have a time limit right now.

Answer:

Parallelogram has two points of congruent angles.

Step-by-step explanation:

3x - 15 = 2x + 24

add 15 to both sides

3x = 2x + 39

subtract 2x from both sides

x = 39