HELP NEEDED!! Which graph represents the equation 4x−2y=−8

Answer: \(\frac{1}{2} \frac{2}{17} \frac{7}{12}\)

Step-by-step explanation:

Answer:

Rs.11,111.11 (2 d.p.)

Step-by-step explanation:

The original price of the mobile is 100% of the price.

Therefore, the price of the mobile after a discount of 10% is 90% of the original price.

Let x be the original price.

If the price of the mobile after the discount is Rs.10000 then:

⇒ 90% of x = Rs.10000

⇒ 0.9x = 10000

⇒ x = 10000 ÷ 0.9

⇒ x = 11111.11  (2 d.p.)

M.P. =Rs 11111.1111

Answer:

Solution Given:

Selling price (S.P.) = Rs 10,000.

Discount =10%

Marked Price (M.P.)=?

we have

M.P. = S.P. + discount% of M.P.

keeping M.P. on same side

M.P. - discount% of M.P=S.P.

substituting value

M.P. - 10% of M.P.= Rs 10,000

taking common M.P.

M.P.(1-10%)=Rs. 10,000

we know that %=1/100

M.P.(1-10/100)=Rs 10,000

(9/10)M.P.= Rs 10,000

M.P.= Rs 10,000*10/9

M.P.=Rs11111.1111

Answer:

787197

Step-by-step explanation:

YOU: yay its correct, this is the best answer ever.

ME: ya it is.

If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.

Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.

Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.

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Answer:

6 ft

Step-by-step explanation:

Diameter is twice the radius. So, 12ft/2 = 6 ft

Answer:

6ft

Step-by-step explanation:

The probability of the intersection of events A and B, denoted as P(A∩B), can be determined using the given information. P(A) and P(B) represent the individual probabilities of events A and B, while P(A∪B) represents the probability of their union. By using these values, we can calculate P(A∩B) as 0.15 or 15%.

Let's consider events A and B. The probability of the union of events A and B, P(A∪B), is given as 0.60 or 60%. This probability represents the combined probability of either event A or event B occurring or both. Now, we are given the individual probabilities of events A and B as P(A) = 0.30 or 30% and P(B) = 0.45 or 45%, respectively.

To find the probability of the intersection of events A and B, P(A∩B), we can use the formula: P(A∪B) = P(A) + P(B) - P(A∩B). Rearranging the formula, we get: P(A∩B) = P(A) + P(B) - P(A∪B). Plugging in the given values, we have: P(A∩B) = 0.30 + 0.45 - 0.60 = 0.15 or 15%.

Therefore, the probability of the intersection of events A and B, P(A∩B), is 0.15 or 15%.

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The size for a TV is determined as the diagonal length of the Television.

The Televisions that we see in our daily life are mostly of the rectangular shape.

A rectangular shape is a shape that has 4 sides in it, the opposite sides of the rectangular are parallel and equal. Two pairs of equal sides are formed in this type of shape.

If we connect the vertices that are directly opposite to each other than it is known as the diagonal of the rectangle . Often we see that the TV is of 32'' or 64''. This only means that the diagonal length of the TV is 32'' or 64''. This is how we measure the size of the TV.

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The volume of the given cone is 402.1 cubic feet if the slant height is 10ft and the length is 6ft.

To calculate the volume of a cone, the formula used is :

V = (1/3) * π * \(r^2\) * h

Here, the radius is the unknown term. we need to calculate the radius of the cone. We can use the Pythagorean theorem to find the radius of the cone.

\(l^2 = r^2 + h^2\)

\(10^2 = r^2 + 6^2\)

\(r = \sqrt{(10^2 - 6^2)}\)

radius = 8 ft

V = (1/3) *  π * \(r^2\) * h

V = (1/3) * π *\(8^2\) * 6

V = (1/3) * π * 384

V =  402.1 cubic feet

Therefore we can infer that the volume of the given cone is  402.1 cubic feet.

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The complete question is:

'Find the volume of this cone. Round to the nearest tenth.

slant height = 10ft

length = 6ft

The payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

Loan amount = $7942, Monthy pay = $175, Interest rate = 17.11%

After calculating from the payment formula:

The payoff =  6.13 years = 73.56 months

Thus, the payoff period will be 73.56 months if the average annual interest rate is 17.11%, how many months will it take the average American family to pay off their debt of $7,942

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Answer:

2.6 feet

Step-by-step explanation:

At each point, there is a loss of 20% (since it flies to 80%)

a) 8 - 20% of 8

= 8-1.6 = 6.4

b) 6.4 - 20% of 6.4

= 5.12

c) 5.12 - 20% of 5.12

4.096

d) 4.096 - 20% of 4.096

3.2768

e) 3.2768 - 20% of 3.2768

= 2.62144 feet

The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

To check whether the ordered pair (-5, -4) is a solution of the system of equations:

1) 3x - y = -11

2) 2x - 2y = -3

We substitute x = -5 and y = -4 into both equations and check if the equations hold true.

For equation 1:

3(-5) - (-4) = -11

-15 + 4 = -11

-11 = -11

The equation is satisfied.

For equation 2:

2(-5) - 2(-4) = -3

-10 + 8 = -3

-2 = -3

The equation is not satisfied.

The ordered pair (-5, -4) does not satisfy both equations simultaneously, it is not a solution to the system.

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The solution of the compound inequality is 4 ≤ x ≤ 6.

The solution of the compound inequality is calculated as follows;

The given inequality equation;

2 + x ≤ 3x – 6 ≤ 12

Break down the compound inequality into two equations as;

2 + x ≤ 3x – 6

add 6 to both sides of the equation;

2 + 6 + x ≤ 3x

8 + x ≤ 3x

Subtract x from both sides of the equation;

8 ≤ 2x

4 ≤ x

Another solution of the inequality is determined as;

3x – 6 ≤ 12

3x ≤ 12 + 6

3x ≤ 18

x ≤ 18/3

x ≤ 6

The solution = 4 ≤ x ≤ 6

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The complete question is below:

Which best describes the solution set of the compound inequality below?

2 + x ≤ 3x – 6 ≤ 12

a: 4 ≤ x ≤ 9

b: 4 ≤ x ≤ 6

c: –2 ≤ x ≤ 2

d: –2 ≤ x ≤ 3

Answer:

θ ≈ 50.1°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{61}{95}\) , then

θ = \(cos^{-1}\) ( \(\frac{61}{95}\) ) ≈ 50.1° ( to the nearest tenth )

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The correct pairing is (2) velocity and m/s , weight is a scalar quantity measured in newtons (N), not kilograms (kg)

Weight is the force experienced by an object due to gravity and is measured in newtons, not the unit of mass which is kilograms.

Velocity is a vector quantity that measures the rate at which an object changes its position. It is defined as the displacement of an object divided by the time taken and is measured in meters per second (m/s).

Speed is the magnitude of velocity and is also measured in meters per second (m/s). It represents how fast an object is moving regardless of its direction. Speed is a scalar quantity, not a vector quantity.

Acceleration is a vector quantity that measures the rate of change of velocity. It is defined as the change in velocity divided by the time taken and is measured in meters per second squared (m/s^2).

Acceleration represents how quickly an object's velocity is changing. Therefore, the correct pairing is (2) velocity and m/s.

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If the inflation rate is 180%, the average prices will double in less than one year.

This is because inflation measures the increase in the prices of goods and services over a period of time. Therefore, the formula for calculating how many years it will take for average prices to double at a given inflation rate is:Years to double = 70/inflation rate

In this case, the inflation rate is 180%.

Therefore:Years to double = 70/180%

Years to double = 0.389 years

This means that average prices will double in approximately 4.67 months (0.389 years multiplied by 12 months per year).

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Given the zeros of a polynomial, you can very easily write it -- first in its factored form and then in the standard form. Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Answer:

Subtract the first zero from x and enclose it in parentheses. This is the first factor. For example if a polynomial has a zero that is -1, the corresponding factor is x - (-1) = x + 1.

Raise the factor to the power of the multiplicity. For instance, if the zero -1 in the example has a multiplicity of two, write the factor as (x +1)^2.

Repeat Steps 1 and 2 with the other zeros and add them as further factors. For instance, if the example polynomial has two more zeros, -2 and 3, both with multiplicity 1, two more factors -- (x +2) and (x -3) -- must be added to the polynomial. The final form of the polynomial is then ((x +1)^2)(x +2)(x -3).

Multiply out all the factors using the FOIL (First Outer Inner Last) method to get the polynomial in the standard form. In the example, first multiply (x + 2)(x - 3) to get x^2 + 2x - 3x - 6 = x^2 - x - 6. Then multiply this with another factor (x + 1) to get (x^2 - x - 6)(x + 1) = x^3 +x^2 - x^2 - x - 6x - 6 = x^3 - 7x - 6. Finally, multiply this with the last factor (x + 1) to get (x^3 - 7x - 6)(x + 1) =x^4+x^3-7x^2-7x-6x-6 = x^4 + x^3 - 7x^2 - 13x - 6. This is the standard form of the polynomial.

Answer:

predict the impact of removing snakes from this food web

Answer:

G6

Step-by-step explanation:

Gareth had £4,199,999.94 in his account at the start of 2015 at rate 5%.

Compound interest is computed as a percentage of the principle plus the accrued interest, whereas simple interest is determined as a fixed percentage of the original amount. In other words, whereas compound interest is calculated on the principle amount plus any interest that has previously been earned, simple interest is computed on the initial principal amount. So, over time, compound interest often produces larger returns than simple interest, particularly for long-term investments.

The compound interest is given by:

\(A = P(1 + r/n)^{(n*t)}\)

Substituting the given values, we get:

\(P = 4,862,025 / (1 + 0.05/1)^{(1*3)}\\P = 4,862,025 / 1.157625\\P = 4,199,999.94\)

Gareth had £4,199,999.94 in his account at the start of 2015.

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A power series representation for the function f(x) = ln(9 – x) is given by f(x) = x/81 - x²/1458 + x³/32805 + ...

The question can be solved using the following steps:

The function to find a power series representation for is  f(x) = ln(9 – x).

Using the formula for a power series, the power series of the function is given by

∑[n=0 to ∞]cnxn, where cn = f(n)(0)/n!.

To obtain the first three nonzero terms of the power series for f(x), the following steps should be followed:

1. Observe that ln(9 – x) = ln[(9 – x)/9] = ln(9/9 - x/9) = ln[(1 - x/9)].

2. Recall the power series expansion for ln(1 + x), which is given by ∑[n=1 to ∞](\((-1)^{(n+1)})(x^{n})/n\).

3. Substitute (-x/9) for x in the power series expansion of ln(1 + x),

thus obtaining ∑[n=1 to ∞]\(((-1)^{(n+1)})(x^{n})/n\).

4.Finally, multiply each term in the expansion by \((-1)^n\), to obtain ∑[n=1 to ∞]\(((x^{n})/n)(1/9)^{n\).

The first three nonzero terms of this power series are:

(1/9)x(1/9)¹ = x/81, (-1/81)x²(1/9)² = -x²/1458, and (1/243)x³(1/9)³ = x³/32805.

Therefore, a power series representation for the function f(x) = ln(9 – x) is given by

f(x) = x/81 - x²/1458 + x³/32805 + ...

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1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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In 1798, the first vaccination (for small pox) was discovered. The most notable achievement of these efforts has been the elimination of smallpox sickness from the world.

Hence, option (c) is correct choice.

In 1721, Lady Mary Wortley Montagu introduced smallpox vaccination to Europe by requesting that her two children be immunised against the disease, as she had seen done in Turkey. Dr. Edward Jenner developed the world's first effective vaccination. He discovered that those who had cowpox were resistant to smallpox.

Edward Jenner, a rural doctor from Berkeley (Gloucestershire), England, conducted the world's first vaccine in 1796. Jenner injected an eight-year-old kid, James Phipps, with pus from a cowpox lesion on a milkmaid's hand.

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If (X,T) is a second countable and T1.5 space, then (X,T) is a Hausdorff space. If X is a countable set and (X,T) is first countable, it may or may not be pathwise connected, zero-dimensional, or second countable.

10) If (X,T) is second countable and T1.5 space, then (X,T) is a Hausdorff space (option A). A topological space is said to be Hausdorff if for any two distinct points x and y in X, there exist disjoint open sets U and V containing x and y, respectively. The fact that (X,T) is second countable implies that there exists a countable basis for the topology T. Being T1.5 means that for any two distinct points x and y, there exist open sets containing x and y, respectively, such that their closures do not intersect. Since (X,T) satisfies both properties, it is Hausdorff.

11) If X is a countable set and (X,T) is first countable, it cannot be concluded whether (X,T) is pathwise connected (option A), zero-dimensional (option B), or second countable (option C). First countability means that each point in X has a countable neighborhood basis.

A countable set can have multiple disconnected components, so it may or may not be pathwise connected. Similarly, a countable set can have different topologies, and being first countable does not determine whether it is zero-dimensional or second countable. Therefore, the correct answer is option D, N.A. (Not Applicable) since the properties mentioned are not determined solely by X being countable and (X,T) being first countable.

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Answer:

lets pray

Step-by-step explanation:

...

The correct statement among the options provided is (B) The probability of finding the first defective product on the third product inspected is (0.02)²(0.98). This statement accurately represents the probability of finding a defective product on the third inspection.

(A) The expected number of products inspected to find the first defective one is not 30. The expected value is determined by the reciprocal of the probability, so in this case, it would be 1/0.02 = 50.

(B) The probability of finding the first defective product on the third inspection is calculated as the probability of two non-defective products followed by one defective product, which is (0.98)²(0.02).

(C) The probability of finding 2 defective products among the 20 products inspected is not (29)(0.02)(0.98)18. This calculation seems incorrect and does not represent the probability accurately.

(D) The approximated probability of finding 3 defective products among the 100 products inspected is not (3:52). The correct calculation would involve the binomial probability formula.

Therefore, the correct statement is (B) The probability of finding the first defective product on the third product inspected is (0.02)²(0.98).

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Answer:

Number panels Plant B produce = 18,000

Step-by-step explanation:

Given:

Plant produces defective panels = 1140

Plant B produce = 5%

Plant A produce = 2%

Find:

Number panels Plant B produce

Computation:

Assume

Number panels Plant B produce = x

Number panels Plant A produce = x - 6000

So

5%(x) + 2%(x-6000) = 1140

0.05x + 0.02x - 120 = 1140

0.07x = 1260

x = 18,000

Number panels Plant B produce = 18,000