8y =120 find the solution to the equation

Answer:

Rs 140

Step-by-step explanation:

Rs 25 is the amount of money she bought the apples

Rs 32 is the amount of money she sold the apples

32 - 25 = $7 profit per apple

7 Rs multiplied by 20 apples is equal to Rs 140 in profit.

Hope this helps!

Which of the following pairs of numbers are additive inverses of each other?

(A) -0.5 and -0.5

(B) 0.5 and 2

(C) 0.5 and -0.5 (when you add them 0.5 + (-0.5)= 0)

(D) 0.5 and 2 7

____________________

Answer

(C) 0.5 and -0.5 (when you add them 0.5 + (-0.5)= 0)

x2 - 3x - 5 = 0 has a unique solution of type -11, which is what the equation entails.

The "discriminant" is the value that aids in identifying the many types of solutions when using the quadratic formula to solve a problem. It is a unique function of a co-efficient in a mathematical equation (a quadratic equation), and the value it yields provides details about the roots of the equation. Calculating the discriminant involves square rooting the "b" term and subtracting four times the "a" term from the "c" term. Alongside "D," there is a (delta) that represents discrimination. A quadratic equation with two distinct real number solutions is said to have a positive discriminant. A quadratic equation with a discriminant of zero has repeated real number solutions. Both of the solutions are not real numbers, as indicated by a negative discriminant.

given

x2 - 3x - 5 = 0

D=b2−4ac

D= −32−4×1×5

D=92−20

D= −11

x2 - 3x - 5 = 0 has a unique solution of type -11, which is what the equation entails.

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Unit normal: N= 2i+3j + 1/√73k

The standard form of the equation of the tangent plane at (1,1,3) is x - 4y + z - 3 = 0.

To find the normal vector, we first need to find the partial derivatives of the surface equation with respect to x and y. Using the chain rule, we get:

∂z/∂x = 2xe^(x²−y²) ∂z/∂y = -2ye^(x²−y²)

At the given point (1,1,3), these partial derivatives evaluate to:

∂z/∂x = 2e^0 = 2 ∂z/∂y = -2e^0 = -2

So the gradient vector of the surface at (1,1,3) is:

grad(z) = <2, -2, ze^(x²−y²)> = <2, -2, 3>

To find a unit normal vector, we need to divide the gradient vector by its magnitude:

|grad(z)| = √(2² + (-2)² + 3²) = √(17 + 9 + 4) = √(30)

So the unit normal vector is:

N = (1/√(30)) <2, -2, 3> = (1/√(30)) <2, -2, 3>

Note that there are two possible unit normal vectors, since we could also multiply this vector by -1.

Now we need to find the equation of the tangent plane. We know that the tangent plane has the form:

ax + by + cz + d = 0

where (a, b, c) is the normal vector we just found, and (x, y, z) is any point on the plane. We also know that the plane passes through the point (1,1,3), so we can substitute these values into the equation to get:

a(1) + b(1) + c(3) + d = 0

Simplifying this equation, we get:

a + b + 3c + d = 0

To fix a unique solution, we are given the coefficient of the z component, which is 1. So we can set c = 1 and solve for the other coefficients:

a + b + 3 = 0 a + b = -3

We can choose any values for a and b that satisfy this equation, as long as they are not both zero. For example, we can choose a = 1 and b = -4, or a = -3 and b = 0. Either way, we get:

Tangent plane: x - 4y + z - 3 = 0

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The circle's circumference is equal to 4 * 11 or 44 cm for a square.

It is the length of any two-dimensional geometric shape's boundary or outline.

Depending on the size, the perimeter of several figures can be the same. Consider a triangle built of an L-length wire, for instance.

If all the sides are the same length, the same wire can be used to create a square.

The length that the shape's perimeter covers is known as the perimeter.

Hence, the perimeter's units will be the same as its length units.

Perimeter is one-dimensional, as we can say. As a result, it can be measured in metres, kilometres, millimetres, etc.

Inches, feet, yards, and miles are some more perimeter measurement units that are recognised on a global scale.

The perimeter of the square = 4*11 = 44 cm

The radius of the circle = 44*7/44 = 7 cm.

Area of the circle = (22/7)*7*7 = 154 cm^2

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The hours the total cost of the services is equal is 6.4 hours and the equations are

From the question, we have the following parameters that can be used in our computation:

Happy Paws

Charges: $19.00 plus $4.50 per hour to keep a dog during the day.

Woof Watchers

Charges: $11.00 plus $5.75 per hour to keep a dog during the day.

The equations are the represented as

Total = Charges + Rate * h

So, we have

Happy Paws = 19 + 4.5x

Woof Watchers = 11 + 5.75x

When the total cost of the services is equal, we have

19 + 4.5x = 11 + 5.75x

Evaluate the like terms

1.25x = 8

Divide by 1.25

x = 6.4

Hence, the number of hours is 6.4

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Answer:

18.5 in approx

Step-by-step explanation:

Given data

aspect ratio of 16: 9

L= 16in

W= 9 in

We want to find the diagonal of the TV

applying Pythagoras theorem

d^2= l^2+w^2

d^2= 16^2+ 9^2

d^2=256+81

d^2= 337

d= √337

d= 18.35 in

Hence the tv is 18.5 in approx

Based on Alonso's budget, he can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.

21 = 2.50 + 5x

21 - 2.50 = 5x

18.50 = 5x

x = 18.50 / 5

x = 3.7 bags of avocados

To get 3 bags of avocados or 9 avocados

= $5 × 3

= $15

Therefore, Alonso can get 3.7 bags of avocados and the cost of 3 bags of avacodes or 9 avacadoes is $15.

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Answer:

he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).

Step-by-step explanation:

Step-by-step explanation:

\(A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4\)

We will now divide C with A.

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

Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.\(x^4 / x^2 = x^2\\4 - 2 = 2\)

So:

\(\frac{1}{x^2+xy+y^2}\)

Answer:

ab

Step-by-step explanation:

Answer:

I think it's b because it's a reccouring number

Step-by-step explanation:

This is my working out, I used the balance method

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The measure of one interior angle of the decagon is 144 degrees

From the question, we have the following parameters that can be used in our computation:

The decagon

The sum of interior angles of a polygon is calculated as

Sum = 180 * (n - 2)

Where

n = number of sides

In a decagon, we have

n = 10

This means that

Sum = 180 * (10 - 2)

When evaluated, we have

Sum = 1440

The measure of one interior angle of the decagon is then calculated as

One interior angle = 1440/10

Evaluate

One interior angle = 144

Hence, the measure of one interior angle of the decagon is 144 degrees

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The relation between x and t is 3x²+t³-y³=3C where y is the position of the object at time t.

We have to rearrange the given equation (2xdx + t²-x²dt = 0) to find a relation between x and t.

To do this, we will integrate both sides,

where:

\($$\begin{aligned}\int 2xdx + \int \left(t^2-x^2\right)dt &= \int 0\\x^2 + \frac{t^3}{3} - \frac{x^3}{3} &= C\end{aligned}$$\)

Where,

C is the constant of integration.

We can simplify this by multiplying both sides by 3 to get:

3x² + t³ - x³ = 3C

Let's interpret this relation in terms of the position of an object that is moving. Suppose the object is moving on a plane, and its position at time t is (x, y).

Then x and y represent its coordinates on the x-axis and y-axis, respectively. If we assume that the object moves at a constant speed, then its path can be described by the relation above.

If we rewrite it as follows:

\($$\begin{aligned}y^3 &= 3C - 3x^2 - t^3\\y &= \sqrt[3]{3C - 3x^2 - t^3}\end{aligned}$$\)

This equation describes a curve in three dimensional space.

We can use it to plot the path of the object as it moves. Note that the curve is symmetric with respect to the x-axis, and it approaches the x-axis as t increases.

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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The probability of receiving two calls in a 5-minute interval is:

P(X = 2) = (e^-4 * 4^2) / 2! = 0.0902

The probability of receiving exactly 10 calls in 15 minutes is:

P(Y = 10) = (e^-12 * 12^10) / 10! = 0.1143

(a) Let X be the number of calls received in a 5-minute interval. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, X follows a Poisson distribution with mean λ = 0.8 * 5 = 4. The probability of receiving two calls in a 5-minute interval is:

P(X = 2) = (e^-4 * 4^2) / 2! = 0.0902

(b) Let Y be the number of calls received in a 15-minute interval. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, Y follows a Poisson distribution with mean λ = 0.8 * 15 = 12. The probability of receiving exactly 10 calls in 15 minutes is:

P(Y = 10) = (e^-12 * 12^10) / 10! = 0.1143

(c) Let Z be the number of callers waiting after 5 minutes. The arrival rate of calls is 48/60 = 0.8 calls per minute. Then, Z follows a Poisson distribution with mean λ = 0.8 * 5 = 4. The expected number of callers waiting after 5 minutes is:

E(Z) = λ = 4

The probability that none will be waiting is:

P(Z = 0) = e^-4 = 0.0183

(d) Let W be the waiting time until the next call. The time between calls follows an exponential distribution with rate λ = 48/60 = 0.8 calls per minute. Then, the probability that the agent can take 2 minutes for personal time without being interrupted by a call is:

P(W > 2) = e^(-0.8 * 2) = 0.4493

Alternatively, we can use the memoryless property of the exponential distribution to calculate:

P(W > 2) = P(W > 1 + 1) = P(W > 1) * P(W > 1) = e^(-0.8 * 1) * e^(-0.8 * 1) = 0.4493.

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Answer:

d)2

Step-by-step explanation:

you would group-like terms and so

4q+q=11-1

5q=10(you would let q stand on it own)

so you divide through by 5

5q/5=10/5

q=2

Explanation: A linear function would be a diagonal line from left to right either moving up or down in direction. An exponential function would be a straight line on the x axis from left or right until it reaches y axis, then a sharp curve up or down. A quadratic function would be a U shape either facing up or down.

Linear equation: y = mx + b
Exponential equation: y = abˣ
Quadratic function: y = axˣ + bx + c

The graph listed in the picture would be a quadratic function according to the explanation.

The answer to this question is A. It is not reasonable to conclude that heart or respiratory diseases were the cause of approximately 29% of U.S. deaths in 2011 because there is a possibility of overlap.

This means that some people who died from heart disease may have also had respiratory diseases, and vice versa.

Therefore,

It is impossible to accurately determine the exact percentage of deaths caused by each individual disease.
It is important to note that the Centers for Disease Control lists the causes of death in the United States as the underlying cause, which is defined as the disease or injury that initiated the train of events leading directly to death.

However,

Many people who die from one disease may also have other underlying or contributing conditions.

This makes it difficult to determine the exact cause of death in some cases.
There could be potential overlap between heart and respiratory diseases, it is not reasonable to conclude that heart or respiratory diseases were the cause of exactly 29% of U.S. deaths in 2011.

In summary,

While heart and respiratory diseases were listed as the cause of a significant percentage of deaths in the United States in 2011, it is not accurate to conclude that they were the sole cause of approximately 29% of deaths due to the possibility of overlap.

It is important to consider all contributing factors when analyzing causes of death data.

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Answer:

A

Step-by-step explanation:

I think, if im wrong im sorry

(A) Usain Bolt's average speed in meters per second was approximately 10.36 m/s.

(B) Usain Bolt's average speed in miles per hour was approximately 23.35 mph.

(A) Average speed = Distance / Time

Average speed = 200 meters / 19.30 seconds

Average speed = 10.36 meters per second

Therefore, Usain Bolt's average speed in meters per second was approximately 10.36 m/s.

(B) 1 mile = 2580 feet

Converting the distance from meters to miles:

Distance in miles = Distance in meters / (1 meter / 3.28 feet) / (1 mile / 5280 feet)

Distance in miles = 200 meters / 3.28 / 5280 miles

Time in hours = Time in seconds / (60 seconds / 1 minute) / (60 minutes / 1 hour)

Time in hours = 19.30 seconds / 60 / 60 hours

Average speed = Distance in miles / Time in hours

Average speed = (200 meters / 3.28 / 5280 miles) / (19.30 seconds / 60 / 60 hours)

Average speed = 23.35 miles per hour

Therefore, Usain Bolt's average speed in miles per hour was approximately 23.35 mph.

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Answer:

125.84

Step-by-step explanation:

116.52(0.08)=9.32

116.52+9.32=125.84

Answer:

The total is $125.84.

Step-by-step explanation:

The total is equal to the original value (100%) + the tax amount (8%) which equals 108%. To multiply it, we move the decimal two to the left to get our figure (1.08) then multiply that times 116.52. So, 116.52x1.08=125.8416; for dollars I rounded to the nearest cent: $125.84.

Answer:

Step-by-step explanation:

Answer:

360 in

Step-by-step explanation:

To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:

\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)

So, the dressmaker has 360 in of ribbon.

Answer:

True.

Step-by-step explanation: