the equation below describes a circle. x^2+14x+y^2=70. what are the center and radius of the circle?

Answer:

28

Step-by-step explanation:

2(7)(2) =28

The value of 2ab when a = 7 and b = 2 is 28.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2ab

For a = 7 and b = 2.

= 2 x 7 x 2

= 14 x 2

= 28

Thus,

The value of 2ab is 28.

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False. Exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. Exponential smoothing and moving averages are two different forecasting techniques that use distinct weighting schemes.

Exponential smoothing uses a smoothing constant (α) to assign weights to past observations. With an α of 0.2, the weight of the current period's actual value is 20%, while the remaining 80% is distributed exponentially among previous values. As a result, the influence of older data decreases as we go further back in time.On the other hand, a moving average with n = 5 calculates the forecast by averaging the previous 5 periods' actual values. In this case, each of these 5 values receives an equal weight of 1/5 or 20%. Unlike exponential smoothing, the moving average method does not use a smoothing constant and does not exponentially decrease the weight of older data points.In summary, while both methods involve weighting schemes, exponential smoothing with α = 0.2 and a moving average with n = 5 do not put the same weight on the actual value for the current period. This statement is false.

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Answer: the initial value is 2 and the rate of change is 1.

The answer is 4 > n.

24 >6n

4 > n

Answer:

4>n

Step-by-step explanation:

11+13>6n

24>6n

4>n

Step-by-step explanation:

the correct answer is option a 6a-7

The distance the apple rolled is approximately 9.66 feet.
This is found by using the angle of elevation and the height from which the apple fell.

To find the distance the apple rolled, we can use trigonometry. Given the angle of elevation (35°) and the height from which the apple fell (7 feet), we can set up a tangent function:

tan(angle) = opposite side / adjacent side

In this case, the opposite side is the height (7 feet) and the adjacent side is the distance rolled (which we want to find). Plugging in the values, we get:

tan(35°) = 7 feet / distance rolled

Now, we can solve for the distance rolled:

distance rolled = 7 feet / tan(35°)

Calculating this value gives us:

distance rolled ≈ 9.66 feet

Therefore, the apple rolled approximately 9.66 feet from the tree.

Calculation steps:
1. Set up the tangent function: tan(35°) = 7 / distance rolled
2. Solve for the distance rolled: distance rolled = 7 / tan(35°)
3. Calculate the distance rolled: distance rolled ≈ 9.66 feet

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We are asked to sketch a triangular base container with dimensions that can hold exactly one liter of liquid.

To sketch a triangular base container that can hold one liter of liquid, we need to consider its dimensions. Let's assume the base of the container is an equilateral triangle with side length 's' and the height of the container is 'h'.

To calculate the volume of the container, we need to find the area of the base and multiply it by the height. The area of an equilateral triangle is given by (sqrt(3)/4) * s^2, so the volume of the container is V = (sqrt(3)/4) * s^2 * h. Since we want the volume to be one liter (1000 cm^3), we set this equal to 1000 and solve for 'h' in terms of 's': h = \((4000 / (sqrt(3) * s^2)).\)

The surface area of the container consists of the area of the base and the area of the three identical triangular sides. The area of the base is \((sqrt(3)/4) * s^2\), and each triangular side has an area of (s * sqrt(3) * s) / 2 = \((sqrt(3)/2) * s^2\). Therefore, the total surface area is A = (sqrt(3)/4) * s^2 + 3 * (sqrt(3)/2) * s^2 = (5sqrt(3)/4) * s^2.

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Answer:

The answer is b and helping for higer points

Step-by-step explanation:

Answer: D

Step-by-step explanation:

y intercept is at 2 and the slope is 1/5

Answer:

63

Step-by-step explanation:

21*3

Answer:

A)

Step-by-step explanation:

-6a + 2(2a + 2)  =  -6a + 4a + 4

= -2a + 4

Ladder diagrams are graphical representation techniques used to show how a particular control system operates, such as a mechanical process or a computer algorithm.

They are composed of two vertical lines that represent the power rails of the control circuit.

In this problem, the goal is to create a ladder diagram that will cause the output, alarm lamp ALRM 534, to be 0 N

when

(1) either the infeed conveyor CONV1541 is OFF or the outfeed conngo CONV1542 is OFF and

(2) the limit switch LS1535 is open and

(3) the proximity suid PS1536 is closed.

We'll do this issue for a SLC-500 plc.

Ladder diagram for SLC-500:

Firstly, since the alarm lamp is to be activated when the conditions are false, we will use a Normally Closed (NC) contact for each condition.

Next, draw the circuit for infeed conveyor CONV1541 OFF and the limit switch LS1535 is open.

Then, we'll add the other conditions, such as the outfeed conveyor CONV1542 OFF and the proximity switch PS1536 closed.

Finally, connect the alarm lamp ALRM1534 to the circuit to make it work when all of the specified conditions are met.

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Answer:

$17,100

Step-by-step explanation:

Set up an equation where y is the worth of the car and t is the number of years since 2010:

y = 26000(0.9)^t

Plug in 4 as t, since it is asking about 2014:

y = 26000(0.9)^t

y = 26000(0.9)^4

y = 17058.6

Round to the nearest hundred dollars:

17058.6

= 17,100

So, the car will be worth approximately $17,100

Answer:

Step-by-step explanation:

17

e) Some students have GPAs similar to other students at MIT and the difference is less than 0.3.

The statement states that for every student at MIT, there is another student with a GPA almost the same, with a difference smaller than 0.3. This implies that there exists a subset of students at MIT whose GPAs are similar to each other, and the difference between their GPAs is less than 0.3. However, it does not imply that this holds true for all students or that all students have GPAs higher than 0. It also does not imply a one-to-one correspondence between students or that there is a specific student matching with another student. Hence, option e.) is the most accurate interpretation of the given information.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

sorry needed the points

Step-by-step explanation:

Answer:

the formula for the area of a trapezoid is area =(top + bottom)/2 x height

using the given information we can solve

for x:

234 = (20+32)/2 X

234 = 52/2 X

234 = 26 X

X=234/26

X= 9 units

Based on the information provided, we can conduct a hypothesis test to determine if a majority of all students at Ohio University believe the academics are 'very strong'.

Let's set up the null and alternative hypotheses:

Null hypothesis (H₀): The proportion of all students who believe the academics are 'very strong' is equal to 50% or less.

Alternative hypothesis (H₁): The proportion of all students who believe the academics are 'very strong' is greater than 50%.

To test these hypotheses, we can use a one-sample proportion test. We will compare the sample proportion (55%) to the hypothesized proportion (50%) and assess if the difference is statistically significant.

Using appropriate statistical methods, such as calculating the test statistic and obtaining the p-value, we can evaluate the evidence against the null hypothesis. If the p-value is less than the chosen significance level (e.g., 0.05), we would reject the null hypothesis and conclude that a majority of all students at Ohio University believe the academics are 'very strong'. Otherwise, if the p-value is greater than the significance level, we would fail to reject the null hypothesis and conclude that there is not enough evidence to support the claim of a majority belief.

Please note that without the actual test results or the p-value, we cannot make a definitive conclusion in this particular case.

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Answer:

#4

Step-by-step explanation:

Positive Slopes go diagonally up, negative slopes go diagonally down, zero slopes go horizontally with no slant at all, and zero slopes go vertically with no slant at all.

Answer:

the answer for this question you have id number 8

Then we add together

(6.42x\(10^{-23}\) )+ (3.3x

= 9.45 × \(10^{-24}\) kilograms

Therefore, combined mass in scientific notation can be written as 97.2× \(10^{-24}\) kg

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Answer:

97.2

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

14 - 10 = 4

4/10 = 0.4

0.4 x 100% = 40%

Answer:

That would be a sixth degree equation aka C. is your answer

Step-by-step explanation:

Answer:

c.6

trust me i just did it

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

7 + 13 + (-8)

Keep in mind, adding a negative number is like subtracting that number.

7 + 13 - 8

= 20 - 8

= 12

Answer:

88

Step-by-step explanation:

You need to multiply then subtract

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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