Can someone please help me with 15 and 16

Step-by-step explanation:

Yeah i also need the samw ans

Answer:

0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

To remove the single quotation marks ('') at the beginning and end of a string and remove the item at index 12, you can use Python's string manipulation methods and list slicing. First, you can use the strip() method to remove the surrounding single quotation marks. Then, you can convert the string into a list using the list() function, remove the item at index 12 using list slicing, and finally convert the list back into a string using the join() method.

To remove the single quotation marks at the beginning and end of a string, you can use the strip() method. This method removes any leading and trailing characters specified in the argument. In this case, you can pass the single quotation mark ('') as the argument to strip().

Here's an example:

string = "'example string'"

stripped_string = string.strip("'")

After executing this code, the value of stripped_string will be 'example string' without the surrounding single quotation marks.

To remove the item at index 12 from the string, you need to convert it into a list. You can use the list() function for this conversion. Then, you can use list slicing to remove the item at index 12 by excluding it from the list. Finally, you can convert the modified list back into a string using the join() method.

Here's an example:

string_list = list(stripped_string)

string_list.pop(12)

result_string = ''.join(string_list)

After executing this code, the value of result_string will be the modified string with the item at index 12 removed.

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To express the column matrix b as a linear combination of the columns of A, we need to find scalars x, y, and z such that x[\begin{array}{c} 1\\2\end{array}\right] + y[\begin{array}{c} 1\\-3\end{array}\right] + z[\begin{array}{c} -1\\3\end{array}\right] = [\begin{array}{c} -5\\5\end{array}\right].

Writing this out as a system of equations, we get:

x + y - z = -5
2x - 3y + 3z = 5

We can solve for x, y, and z by putting the coefficients of the variables into an augmented matrix and row reducing:

[\begin{array}{ccc|c} 1&1&-1&-5\\2&-3&3&5\end{array}\right]

R2 - 2R1 --> R2

[\begin{array}{ccc|c} 1&1&-1&-5\\0&-5&5&15\end{array}\right]

-1/5R2 --> R2

[\begin{array}{ccc|c} 1&1&-1&-5\\0&1&-1&-3\end{array}\right]

R1 - R2 --> R1

[\begin{array}{ccc|c} 1&0&-2&-2\\0&1&-1&-3\end{array}\right]

So we have x = -2, y = -3, and z = -2. Therefore, we can write b as a linear combination of the columns of A as:

[\begin{array}{c} -5\\5\end{array}\right] = -2[\begin{array}{c} 1\\2\end{array}\right] - 3[\begin{array}{c} 1\\-3\end{array}\right] - 2[\begin{array}{c} -1\\3\end{array}\right]

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Answer:

x=-1

Step-by-step explanation:

5x=-5

\(x=\frac{-5}{5}=-1\)

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

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The cost of one apple is $0.70.

Let's assume that the cost of one apple is "a" dollars and the cost of one banana is "b" dollars. We can create two equations based on the information given:

4a + 9b = 12.70 ...(1)

8a + 11b = 17.70 ...(2)

To solve for "a", we can use elimination method by multiplying equation (1) by 8 and equation (2) by -4, so that the coefficients of "a" in both equations will be equal and opposite:

32a + 72b = 101.60

-32a - 44b = -70.80

Adding these two equations, we get:

28b = 30.80

Simplifying and solving for "b", we get:

b = 1.10

Now, we can substitute the value of "b" in equation (1) and solve for "a":

4a + 9(1.10) = 12.70

4a + 9.90 = 12.70

4a = 2.80

a = 0.70

Therefore, the cost of one apple is $0.70.

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Solution

Given that;

42, 10, 36, 51, 70, 28

max = 70

min = 10

range = 70 - 10 = 60

midrange = (max + min)/2

= (70 + 10)/2

= 80/2

= 40

Therefore, The range is larger than the midrange.

Answer:

(0, 3) and (-3, 0) are just two out of an infinite number of other points

Step-by-step explanation:

I found these 2 points by plugging in 0 for x and y would equal 3

Then I plugged in 0 for y and x would equal -3

The correct answers about school's population and year are - a. 744, b. 4 years, c. 186 and d. 1208.

The population growth between 2004 and 2008 = population in 2008 - population in 2004

Population growth = 1766 - 1022

Population growth = 744

Time taken for population to reach = final population year - initial population year

Time taken = 2008 - 2004

Time taken = 4 years

Average population growth per year = (final - initial year)/(final - initial population)

Average population growth per year = (1766 - 1022)/(2008 - 2004)

Average population growth per year = 744/4

Average population growth per year = 186

(Year 2004 - year 2001) × Average = (Population in year 2004 - population in year 2000)

3 × 186 = 1766 - Population in year 2000

558 = 1766 - Population in year 2000

Population in year 2000 = 1766 - 558

Population in year 2000 = 1208

Thus, the answers are 744, 4 years, 186 and 1208.

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Answer:

no association

Step-by-step explanation:

it's obviously not a positive or negative linear, and i'm sure non-linear graphs don't look like that

Answer:

x=1

y=-2

z=-1 ( substitute into equations)

To the nearest tenth, the quantity of the amount after \(7\) weeks is around \(1804.74\).

Quantity simply refers to how much or how many of anything there are. A quantity can also be an amount, a number, or a measurement. It responds to the "how much?" query. Numbers may also be used to understand quantities, such as this book has 55 pages, this container has 'x' quantities of black pens, etc.

Numbers can be used to express quantities, such as 55 pages or reading. Entire numbers, fractions, fractions, percentages, or units of measurement like space, money, length, or weight can all be used to express these values. Quantities may also be stated using uncommon units.

\(A_{0} = 3600\)

\(r = 0.01\) (since the rate of decay is \(1\)%)

\(t = 7\) weeks \(= 56\) days (since there are \(7\) days in a week)

We can first find the value of \(e^{-rt}\) as follows:

\(e^{-rt} = e^{-0.0187} = 0.5013\)

Substituting into the formula, we have:

\(A = 3600 * 0.5013 ≈ 1804.74\)

Therefore, the value of the quantity after \(7\) weeks, to the nearest hundredth, is approximately \(1804.74\).

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In estimating a population mean, an interval estimate is more likely to be correct than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, while a point estimate provides only a single value.

When estimating a population mean, using an interval estimate is more likely to be correct because it accounts for the uncertainty associated with the estimate. A point estimate, on the other hand, provides a single value that is assumed to represent the true population mean. However, due to sampling variability and potential errors in measurement, a point estimate is prone to error and may not accurately reflect the true population mean.

By using an interval estimate, which includes a range of values, we have a measure of uncertainty. The range is typically constructed based on a certain level of confidence, such as a 95% confidence interval. This means that if we were to repeat the sampling and estimation process many times, the true population mean would be expected to fall within the estimated interval in 95% of those repetitions.

The interval estimate takes into account the variability in the data and provides a more realistic representation of the true population mean. It provides a margin of error and acknowledges that the point estimate is just one possible value among many that could have been obtained through sampling.

Therefore, when estimating a population mean, an interval estimate is preferred because it not only provides a point estimate but also quantifies the uncertainty associated with that estimate, leading to a higher likelihood of being correct.

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Answer:

I believe the answer to be option C.

Step-by-step explanation:

I took the Unit Test! :)

I really hope this is correct, let me know!

Answer:

I think that the answer would be 12.

Step-by-step explanation:

1/2 gallon = 24 brownies

I do not know if that is right but I think it is.

sorry if its not

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer: b

Step-by-step explanation: edge 2020

Using fractional operation, since Jack ate ¹/₂ of the delicious pizza with ¹/₆ left, Jill ate ¹/₃ of it.

The fractional operations involve mathematical operations using fractions, which are parts or portions of the whole value or quantity.

Some of the mathematical operations include addition, subtraction, multiplication, and division.

The fraction ate by Jack = ¹/₂

The fraction of the pizza left over after Jack and Jill have eaten = ¹/₆

The fraction or portion that Jill ate = ¹/₃ [1 - (¹/₂ + ¹/₆)]

Thus, we can conclude that Jill ate ¹/₃ of the delicious pizza.

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The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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Answer:

7x-5

Hope this helped; mark brainliest if it did! :)

Step-by-step explanation:

\( \cos(60) = \frac{x}{10} \\ x = 5\)

Answer:

Larger number = 25

Smaller number = 14

Step 1. Establish variables and system of equations

Larger number = x

Smaller number = y

&

x + y = 39

y + 11 = x

Step 2. Isolate a variable in ONE equation

x + y = 39

y = 39 - x

Step 3. Substitute that into the OTHER equation to find x

y + 11 = x

(39 - x) + 11 = x

50 - x = x

50 = 2x

25 = x

Step 4. Substitute that into the OTHER equation to find y

x + y = 39

(25) + y = 39

y = 14

Answer:

12

Step-by-step explanation:

3x+7 = 12

Answer:

?

Step-by-step explanation:

If you divide 572 by 2 you get 286...

Answer:286

Step-by-step explanation: thats a real big number but half of 572 is 286 and you can figure that out by diving by 2

Step-by-step explanation:

A circle that passes through point 0,2 and (0,8) and has a center that lies on x=4 is what given.

So we know is center (4,p) for some number p,

Since the points on circumference of the circle have the same x value, then we know that the y coordinate of the center must be the midpoint of the circumferences' y coordinates.

Why?

A circle is not a function since it doesn't pass the vertical line test. And the standard form of a circle is

\( {x}^{2} + {y}^{2} = {r}^{2} \)

With center (0,0).

Consider the equation

\( {x}^{2} + {y}^{2} = 9\)

The radius is 3 so two points with x coordinate 0 is

(0,3) and (0,-3). And the midpoint of them is (0,0) which is the center. Which is the defining trait of all circles.

Now, back on hand, our the midpoint of 2 and 8 is 5 so our center is

(4,5).

Now, we must find the radius. We use distance formula.

For (4,5) and (0,8).

\(d = \sqrt{(8 - 5) {}^{2} + ({0 - 4) {}^{2} } } \)

\(d = \sqrt{3 {}^{2} + {4}^{2} } \)

\(d = \sqrt{25} \)

\(d = 5\)

So our radius is 5.

So now we use the equation of center h,k.

\((x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} \)

H is 4

K is 5

\((x - 4) {}^{2} + (y - 5) {}^{2} = 25\)

Above is sketch of graph.