Find the values of a and b.

Answer:

if their was a picture of the graph, i could of answered it.

Step-by-step explanation:

Solving an algebra problem exemplifies Objective because there is generally one right answer to such a problem.

How is the objective determined?

Objective refers to a fact that is not influenced by personal opinions or feelings and is quantifiable.

In the case of solving an algebra problem, the solution is based on a set of pre-established rules and formulas that result in a single correct answer that is quantifiable and objective.

A variable is any symbol that can represent any number. It can be used in place of a specific number and can take on a range of values. In algebra, equations and formulas are used to manipulate these variables to find their values.

The use of objective rules and formulas is what makes solving algebra problems objective.

Therefore, it can be concluded that solving an algebra problem exemplifies Objective because there is generally one right answer to such a problem.

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The iterated integral by converting to polar coordinates \(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) is 7a^4/12.

In the given question, we have to evaluate the iterated integral by converting to polar coordinates.

The given integral is

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\)

Let polar coordinate.

x = rcosθ, y = rsinθ, x^2 + y^2 = r^2

So dxdy = rdrdθ

r from 0 to a and θ from π/2 to π

Now the integral is

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(\int_{\pi/2}^{\pi}\int_{0}^{a}7(r\cos\theta)^2(r\sin\theta)drd\theta\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(\int_{\pi/2}^{\pi}\int_{0}^{a}7(r^2\cos^2\theta)(r\sin\theta)drd\theta\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(7\int_{\pi/2}^{\pi}\int_{0}^{a}r^3\cos^2\theta\sin\theta drd\theta\)

Now integrating the first integral

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(7\int_{\pi/2}^{\pi}\left[\frac{r^4}{4}\right]_{0}^{a}\cos^2\theta\sin\theta d\theta\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(7\int_{\pi/2}^{\pi}\left[\frac{a^4}{4}-\frac{0^4}{4}\right]\cos^2\theta\sin\theta d\theta\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(\frac{7a^4}{4}\int_{\pi/2}^{\pi}\cos^2\theta\sin\theta d\theta\)

Let cosθ = t

So -sinθ = dt/dθ

So sinθdθ = -dt

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(-\frac{7a^4}{4}\int_{\pi/2}^{\pi}t^2dt\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(-\frac{7a^4}{4}\left[\frac{t^3}{3}\right]_{\pi/2}^{\pi}\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(-\frac{7a^4}{4}\left[\frac{\cos^3\theta}{3}\right]_{\pi/2}^{\pi}\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = \(-\frac{7a^4}{12}\left[\cos^3\pi-\cos^3(\pi/2)\right]\)

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = -7a^4/12[(-1)^3 - 0]

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\) = 7a^4/12

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The complete question is:

Evaluate the iterated integral by converting to polar coordinates.

\(\int_{0}^{a}\int_{-\sqrt{a^2-y^2}}^{0}7x^2ydxdy\)

Answer:

Step-by-step explanation:

600 ml

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

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The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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John waits on tables and is paid $8. 00 an hour and in 40 hours he earns  530.50$ including 210.50$ as tips.

Variables and constants are separated by the operations of multiplication and division to construct an equation. Terms in various forms on each side of the equality sign are equal in an equation.

Here we have,

John paid $8.00 an hour and waits on tables

Therefore,

In 29 hours, he earns -

= 40 X 8

= 320 $

Via tups, he earned 210.50$

So, in total he earns

= 320 + 210.50

= 530.50 $

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By using the unitary approach to answer the given question, we may conclude that total 28 + 40 = $68.

The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply expressed, the unit technique is used to extract a single unit value from a multiple that is provided. For example, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure could follow a regular procedure. a single nation. something has a distinct identity. Its adjoint and reciprocal are equal in terms of mathematics, algebra, linear algebra, mathematical analysis, or mathematics of matrices or operators.

One package of chicken costs  = $7

steaks cost  = $4 per pound.

cost of 4 chicken = 4 * 7 < $28

cost of 10 steaks = 4*10 < $40

total 28 + 40 > $ 68

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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The value of x from the triangle inscribed in the circle which is the unknown angle is 22°

For a given triangle inscribed in a circle, it should be noted that the angle that is inscribed along the diameter of the circle will be regarded as the right angle.

This means that the angle facing the diameter line (C), i.e angle c is 90 degrees. We all know that the sum of angles in a triangle is 180 degrees. Therefore, to find the third unknown angle x, we have:

x  + 68° + 90° = 180°

x + 158° = 180°

x = 180° - 158°

x = 22°

Therefore, we can conclude that the value of x which is the unknown angle is 22°

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Answer:

yes because this number is an even

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

So we are given 4 points that define a polygon and we need to find its perimeter.

Those 4 points define 4 sides. The sum of their lengths gives us the perimeter we are looking for. Those lengths are given by the distances between their extremes. For example, the length of side AD is equal to the distance between A and D. For two random points (a,b) and (c,d) the distance between them is equal to:

So let's find the length of each of the polygon's four sides. For AD we have:

So its length is 3 units.

For AB we get:

Then its length is 6 units.

For BC:

So its length is 3 units.

And for CD we get:

Then the perimeter is equal to the sum of these four lengths:

Then the answer is 18.

The statement, "Researcher must decide on "level-of-Significance" after setting up "null-hypothesis" and "alternate-hypothesis", but before formulating a "decision-rule" and collecting sample data" is True because it finds the critical value, which is then used to decide whether to reject or fail to reject "Null Hypothesis".

The "level-of-significance" is defined as a predetermined probability threshold which is used in hypothesis testing to determine if the results of a statistical test are statistically significant or not.

The level of significance is generally decided upon before conducting the hypothesis test. It denotes probability of rejecting the "null-hypothesis" when it is true.

The researcher generally sets this level before collecting any data and it is used to determine the critical value for the test statistic, which is used to decide whether to reject or "fail-to-reject" the null hypothesis.

The level of significance is generally set at 0.05 or 0.01 but can vary depending on the research question and the level of risk the researcher is willing to accept in making a Type I error which is rejecting the null hypothesis when it is true.

Therefore, the statement is True.

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Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

The probability of 45 heads in 100 tosses of a coin given the probability of heads is 50% is 7.1%.

The binomial probability formula is used to calculate the probability of getting a certain number of heads (or success) in a certain number of coin tosses (or trials) when the probability of getting a head (or success) in each individual coin toss is known. The formula is:

P(x) = (n choose x) * (pˣ) * (1-p)^(n-x)

Where,

P(x) is the probability of getting x heads (or success) in n coin tosses (or trials)

n is the number of coin tosses

x is the number of heads (or success)

p is the probability of getting a head (or success) in a single coin toss

1-p is the probability of getting a tail (or failure) in a single coin toss

(n choose x) is the binomial coefficient, which is the number of ways to choose x heads (or success) from n coin tosses (or trials)

In this case, the probability of getting 45 heads in 100 tosses of a coin with a probability of heads of 50% can be calculated using the formula: (100 choose 45) * (0.5⁴⁵) * (0.5⁵⁵) which is approximately 0.071, or 7.1%.

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Answer:

Figures ABC and DEF

Step-by-step explanation:

Why is there a hole in your screen?

Answer:

The answer is QRS and TRU !!

Step-by-step explanation:

The statements about the given parabola that are true are:

The form of a parabola is :

y = a ( x - h ) ² + k

This means that the statement that the vertex is (-2, 4) is true because the vertex is ( h, k ).

The focus is ( h,  k - p ) which would be ( -2 , 1 / 2 ). This is shown in option A.

The Directrix is:

y = 4 + 7/2

= 15 / 2

This is shown in option C.

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Answer:

0.5

Step-by-step explanation:

Look at the decimal go down. It goes down 0.5 each time or 1/2

The common difference in the arithmetic sequence 5.0, 4.5, 4.0, 3.5 will be 0.5.

Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as

\(\rm a_n = a_1 + (n - 1)d\)

The arithmetic sequence is given below.

5.0, 4.5, 4.0, 3.5

Then the common difference will be

d = 5.0 – 4.5 = 0.5

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Answer:

the last one

Step-by-step explanation:

the 100 dollars is an initial fee so it won't be multiplied at all. the 25 is daily so you would multiply that by each day which is d. you would add the 100 dollars because it wants to know the total price in the end. I hope this helps and I am truly sorry if it is not right.

Answer:

25 and 100

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The function g(x) = (x - 5)² has a translation of 5 units to the right.

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over x-axis, (-x, y).

-f(x) = Reflection over y-axis, (x, -y).

The parent function is a quadratic f(x) = x².

Now, The transformed function g(x) = (x - 5)² is a horizontal transformation of 5 units to the right.

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The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

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Answer:

the median is 8

Step-by-step explanation:

hope this helps!

2,5,6,7,8,10,11,12,14

Answer:

8

Step-by-step explanation:

Rearrange to 2 5 6 7 8 10 11 12 14 in ascending order

Take the center number

Answer:

2\(x^{3}\)+2\(x^{2}\)-28x+12

Step-by-step explanation:

The correct choice for the second set in the pyramiding method of dynamic resistance training would typically be a weight that allows the client to perform fewer repetitions than in the first set, typically around 6 to 8 repetitions of their 12-RM weight.

In the pyramiding method, the goal is to gradually increase the weight lifted while decreasing the number of repetitions. This helps to progressively overload the muscles and stimulate strength gains. Starting with a weight that allows the client to perform 10 to 12 repetitions of their 12-RM weight in the first set ensures that they are working at an appropriate intensity to promote muscle adaptation.

For the second set, the weight should be increased to a level that challenges the client's muscles further. By reducing the number of repetitions to 6 to 8, the load becomes more challenging, leading to greater muscle recruitment and strength development. This gradual increase in intensity and decrease in repetitions can help to maximize the benefits of the training session.

It's important to note that the specific recommendations for sets, repetitions, and weights may vary depending on the individual's fitness level, goals, and training program. Working with a qualified fitness professional can help ensure that the pyramiding method is tailored to the client's needs and abilities for safe and effective training.

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Answer:

MY BRAIN HURTS JUST BY LOOKING AT THAT

Step-by-step explanation:

The equivalent expression to the given one is -sin(pi/6).

The given expression is:

sin(7pi/6)

Where the argument is in radians.

Remember that:

sin(a + b) = sin(a)*cos(b) + sin(b)*cos(a)

Now we can rewrite:

sin(7pi/6) = sin(pi + pi/6)

Then we can use the above relation to rewrite:

sin(pi + pi/6) = sin(pi)*cos( pi/6) + sin(pi/6)*cos(pi)

And we know that:

sin(pi) = 0

cos(pi) = -1

Then we can write:

sin(7pi/6) = - sin(pi/6)

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Answer:I'm confused on this but this is what I think it's saying. The absolute value of -18 is 18 and of 0 is 0

Step-by-step explanation:Honestly had no idea what this meant so if this isn't want your looking for please tell me so I can delete my answer