-3 - (-5) =
-4 + 6 =
-5 + (-6)=

Answer:

original price is x

discount is 10%

discounted price =10%of x

=10/100×x

=x/10

Answer: original price is x

discount is 10%

discounted price =10%of x

=10/100×x

=x/10

Answer:

no I'm pretty sure it's wrong

Step-by-step explanation:

the y intercept for that to right us -4

The exact value of the quotient is -9/4 - (9/4)i√(3) or (-9/4, -9/4√3) in the form a + ib.

Given

v = <-3, 9>,

we have to find the magnitude and direction angle of the vector v.Magnitude of vector v

The magnitude of vector v can be calculated using the Pythagorean theorem which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Therefore, the magnitude of vector v is given by

|v| = √(3²+9²) = √(90) = 3√(10)

Direction angle of vector vWe can calculate the direction angle of vector v using the inverse tangent function as follows:

θ = tan⁻¹(y/x)

where x = -3 and y = 9

Therefore, θ = tan⁻¹(-3/9) = tan⁻¹(-1/3)

Let θ be the direction angle of vector v.

Then we have:θ ≈ -18.4349° or 341.5651°

Hence, the magnitude and direction angle of vector v are 3√(10) and 341.5651° respectively.(b)

We have to find the exact value of the quotient and write the result in a + ib form.

The quotient is given by:9(cos(285°) + i sin(285°)) / 2(cos(45°) + i sin(45°))

Multiplying the numerator and denominator by the conjugate of the denominator, we get:

9(cos(285°) + i sin(285°)) * 2(cos(45°) - i sin(45°)) / [2(cos(45°) + i sin(45°))] * [2(cos(45°) - i sin(45°))]Simplifying, we get:9/2(cos(240°) + i sin(240°))9/2(-1/2 - i √(3)/2)i.e. -9/4 - (9/4)i√(3)

Therefore, the exact value of the quotient is -9/4 - (9/4)i√(3) or (-9/4, -9/4√3) in the form a + ib.

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The  values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.

To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².

First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).

Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.

Next, we analyze the signs of the factors:

1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.

2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.

3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.  

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The z value for the probability in the standard normal table is 1.29.

In this question,

Z-Score, also known as the standard score, indicates how many standard deviations an entity is, from the mean. A standard normal table (also called the unit normal table or z-score table) is a mathematical table for the values of ϕ, indicating the values of the cumulative distribution function of the normal distribution.

The value of probability is 0.80

A standard normal random variable is between -z and +z, So

P(-z < 0 < z) = 0.80

⇒ 2P(0 < z) = 0.80

⇒ P(0 < z) = \(\frac{0.80}{2}\)

⇒ P(0 < z) = 0.40

From the standard normal table, z value for the probability 0.40 is

⇒ z = 1.29

Thus P(0 < 1.29) = 0.40

Hence we can conclude that the z value for the probability in the standard normal table is 1.29.

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The answer is "p - w = 150 and p + w = 225".

Let's begin by finding the set of equations that represent the scenario mentioned in the question:

A small plane flies for 3 hours to an airport 450 kilometers away against a strong headwind.

The plane then returns to its starting location flying with the wind, taking 2 hours.

The wind speed remains constant for the round-trip flight. We are to find the set of equations that represent this scenario,

where p represents the speed of the plane, and w represents the speed of the wind.

Let the distance between the two locations be 'd' kilometers.

Given that the plane flies for 3 hours against the strong headwind,

we have: p - w = (450/3)p - w

= 150p = w + 150

Also, given that the plane flies back to its starting location with the wind for 2 hours,

we have: p + w = (450/2)p + w

= 225p = 225 - w

From the two equations obtained, we can solve for the values of 'p' and 'w'.

We can rewrite the first equation as:w = p - 150

Substituting this value of 'w' into the second equation: p = 225 - (p - 150)p

= 75 + p75 = pp - p2p - 75

= 0(p - 15)(p + 5)

= 0p = 15 or p = -5

Since the speed of the plane can't be negative,

we have :p = 15km/h

Substituting the value of 'p' into any of the equations we obtained,

we have: w = p - 150w = 15 - 150w = -135km/h

The speed of the wind is 135km/h.

The set of equations that represent this scenario are: p - w = 150p + w = 225

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Answer:

48 miles

Step-by-step explanation:

Let's break this down...

Lola ran 6 miles and if Mackenize ran 4 times it means you need to multiply 6 by 4 which is 24, now the passage states that Sebastian ran 2 times more than Mackenize so you multiply 24 by 2 which is 48 so Sebastian ran 48 Miles

Hope this helps!

Answer:

Step-by-step explanation:

The area of a right triangle is A=(1/2)base*height

A=(1/2)(b)(h)

200ft²=(1/2)(10ft)h

200ft²=5ft(h)

40ft=h

Using Pythagorean Theorem for a right triangle a²+b²=c²

a²+b²=c²

(40ft)²+(10ft)²=c²

1600ft²+100ft²=c²

1700ft²=c²

√(1700ft²)=c

10√17=c

41.231056256=c

41.2≅c

Answer:

78.54

Step-by-step explanation:

Area of a circle = pi time radius power of 2

A = pi*r^2

A = 3.14 * 5^2

A = 3.14 * 25

A = 78.54

Answer:

3months

Step-by-step explanation:

target $1100

currently saved $1100

so we get the amount she need to save to get to the target.

$1100 - $110= $990 Need to be saved

saving rate 10% of $3300= $330 per month

to get the number of months she need to save, we divide amount needed by amount saved per month; $990 ÷ $330= 3months

==========================================================

Explanation:

Add up all the frequencies that correspond to outcomes that are more than 3

So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88

We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.

The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44

The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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Answer:

(X+1)(x+2)(x-3)

Step-by-step explanation:

(X+1)(x^2-x-6)

(X+1)(x+2)(x-3)

Answer:

3x+14

Step-by-step explanation:

4(8)+3(x-6)

=32+3x-18

=3x+14

Answer:

Step-by-step explanation:

You want to know how to determine the y-intercepts of a rational function, and their possible number.

A rational function f(x) is the ratio of two polynomial functions p(x) and q(x):

  f(x) = p(x)/q(x)

As such, both numerator and denominator have single function values for any value of the independent variable. The y-intercept of f(x) is ...

  f(0) = p(0)/q(0)

The values of p(0) and q(0) are simply the constant terms in those respective functions.

The simple way to find the y-intercept is to look at the ratio of the constant terms in the polynomial functions making up the rational function. If that is defined, there is one y-intercept. If it is undefined (q(0)=0), then there are no y-intercepts.

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To calculate the probability that two given persons are adjacent when six people seat themselves at a round table, we need to consider the total number of seating arrangements and the number of arrangements where the two given persons are adjacent.

Total Number of Seating Arrangements:

The total number of seating arrangements for six people at a round table can be calculated as (6-1)! = 5!, since we fix one person's position and arrange the remaining five people around the table.

Number of Arrangements with Two Given Persons Adjacent:

To calculate the number of arrangements where the two given persons are adjacent, we can consider them as a single entity. So we have 5 entities (including the pair of adjacent persons) to arrange around the table. The number of arrangements for these entities is (5-1)! = 4!.

Therefore, the probability that the two given persons are adjacent is given by:

Probability = Number of Arrangements with Two Given Persons Adjacent / Total Number of Seating Arrangements

= (4!) / (5!)

= 1/5

= 0.2 or 20%

So, the probability that the two given persons are adjacent when six people seat themselves at a round table is 0.2 or 20%.

\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. The total annual cost for Bank B is $174.40.

To compare the cost of online banking, Tim Worker needs to consider various factors, including the basic monthly fee, bill paying monthly fee, limits on the number of checks written, and cost per bill beyond the limit. The basic fee is the amount charged by the bank for providing access to online banking services.

The bill paying fee is charged for each payment made through the online bill pay service. The limit on the number of checks written is the maximum number of checks that can be written in a given month without incurring additional charges. The cost per bill beyond the limit is the amount charged for each bill payment made beyond the specified limit.

Bank B has a basic fee of $9.95 per month and a bill paying fee of $5.95 per month. It has a limit of 20 checks written per month, with a cost of $1 per bill beyond the limit. To calculate the annual cost for Bank B, we can multiply the basic fee and bill paying fee by 12 and add the cost of any additional bills beyond the limit, multiplied by the cost per bill and the number of months in a year.

The total annual cost for Bank B is $174.40, calculated as follows:

Basic fee = $9.95 * 12 = $119.40

Bill paying fee = $5.95 * 12 = $71.40

Cost of bills beyond limit = $1 * (35 - 20) * 12 = $180

Total cost = $119.40 + $71.40 + $180 = $371.80

However, since the cost per bill beyond the limit is capped at $20 per month, the actual cost is $9.95 * 12 + $5.95 * 12 + $20 * 12 = $174.40.

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The average value of the temperature function t(x,y,z)=100−20z on the cone \(z^2 = x^2 + y^2\) for 0≤z≤4 is 320\(\pi\)

To find the average value of the temperature function t(x,y,z) over the given cone, we need to evaluate the integral of t(x,y,z) over the cone and divide by the volume of the cone.

First, we need to find the bounds of integration. Since the cone is defined by \(z^2 = x^2 + y^2\), we can use cylindrical coordinates to integrate over the cone. In cylindrical coordinates, the cone is described by 0 ≤ r ≤ 4sinθ and 0 ≤ θ ≤ 2π, with 0 ≤ z ≤ 4.

Now, we can set up the integral to find the average value:

\(\text{Average&space;Value}&space;=&space;\frac{1}{\text{Volume}}\iiint\limits_D&space;t(x,y,z)&space;dV" title="\text{Average Value} = \frac{1}{\text{Volume}}\iiint\limits_D t(x,y,z) dV\)

where D is the region of integration, which in this case is the cone defined by 0 ≤ r ≤ 4sinθ, 0 ≤ θ ≤ 2π, and 0 ≤ z ≤ 4.

The volume of the cone can be found using the formula V = (1/3)πr^2h, where r = 4sinθ and h = 4. Thus,

\(\text{Volume}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;rdrd\theta&space;dz&space;=&space;\frac{32\pi}{3}" title="\text{Volume} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} rdrd\theta dz = \frac{32\pi}{3}\)

Now, we can evaluate the integral of t(x,y,z) over the cone:

\(\text{Integral}&space;=&space;\int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta}&space;(100-20z)rdrd\theta&space;dz" title="\text{Integral} = \int_0^{2\pi}\int_0^{4}\int_0^{4\sin\theta} (100-20z)rdrd\theta dz\)

Using the substitution u = 4sinθ and du = 4cosθ dθ, we can simplify the limits of integration for θ and the integrand:

\(\text{Integral}&space;=&space;\int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}}&space;(100-20z)rdrd\theta&space;dz&space;=&space;2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz&space;=&space;320\pi" title="\text{Integral} = \int_0^{4}\int_0^{u}\int_0^{\frac{\pi}{2}} (100-20z)rdrd\theta dz = 2\pi\int_0^{4}\int_0^{u}(100u-20u^2)rdrdz = 320\pi\)

Therefore, the average value of the integral ia 320π

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Answer:

Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.  

Step-by-step explanation:

Answer:

B. Made smoother

Step-by-step explanation:

The problem with the knives people had was that they were too pointy and could be used to cause harm. In order to prevent the knives from causing harm the king ground them down meaning that he had the points of the knives smoothed so that they were not as dangerous.

Answer: $7.58/2=$3.79

Step-by-step explanation:

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}\)

The monthly payment for the 36-month fixed loan with an APR of 4.5% that the homeowner borrowed for home improvements is $904.31.

The formula for calculating the monthly payment on a fixed loan is:

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

where M is the monthly payment, P is the loan amount, r is the monthly interest rate (which is the APR divided by 12), and n is the number of payments (which is the loan term in months).

Substituting the given values, we get:

M = 30,400 * (0.045/12 * (1+0.045/12)^36) / ((1+0.045/12)^36 - 1)

Simplifying this equation gives us the monthly payment of $904.31, rounded to the nearest cent.

Therefore, the homeowner's monthly payment for the 36-month fixed loan with an APR of 4.5% for home improvements is $904.31.

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Answer:

25y+27x

Step-by-step explanation:

You cannot factor this any further

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

What is zero product rule?

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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Using Zero product rule, Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

The zero product property states that if A and B are two real numbers and their multiplication results in zero, then either A or B must equal zero, however it is possible for both A and B to be equal to zero in rare circumstances. As a result, we can state that the product of two real non-zero numbers cannot ever be zero. It is typically applied for solving algebraic problems. Any expression that contains a variable is considered an algebraic expression. A zero-equivalent algebraic expression is referred to as an equation.

Given, the complete mathematical equation is (7x-10)(6y-12) = 0

By Zero Product Rule,

Since the expression is in product form, and it is equal to zero, we can equate each expression to zero.

Thus,

(7x-10) = 0

⇒ 7x = 10

⇒ x = 10/7

For the second expression,

(6y-12) = 0

⇒ 6y = 12

⇒ y = 12/6

⇒ y = 2

Hence, after solving the expression (7x-10)(6y-12)=0, the value of y comes out as y=2.

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The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Example of an undecidable problem is given by the problems in the system created by computer viruses.

According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.

A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.

whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.

If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.

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The justification for overidentification tests is option A, if each instrument satisfies both the inclusion and exclusion condition, than using each instrument alone should produce an unbiased estimate of B1.

The J-test, also known as the overidentifying restrictions test, is a method for determining if additional instruments are exogenous. There must be more instruments than endogenous regressors for the J-test to be valid.

An assessment of overidentifying limits is the Sargan-Hansen test. The combined null hypothesis is that the excluded instruments are accurately omitted from the calculated equation and that the instruments are valid instruments, i.e., uncorrelated with the error component.

Option A provides the basis for overidentification tests. If each instrument satisfies the inclusion and exclusion criteria, then utilizing each instrument separately should result in an accurate estimate of B1.

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