Use rounding to estimate the product.

5.17 × 7.64

Answer:

kidding meee

Step-by-step explanation:

Doood you are kiding me

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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Answer:

2348994

Step-by-step explanation:

6789 x 346= 2348994

Hope this helps! Please mark brainiest!!!

Answer:

2348994

Step-by-step explanation:

When x = -4, the series converges, and when x = 6, the series diverges. When x is in the interval (-4, 6), the series converges absolutely. When x is less than -4 or greater than 6, the series diverges. It's worth noting that the given series is a power series with an infinite radius of convergence.

When x is in the interval (-∞, ∞), the series always converges, as the series' radius of convergence is infinite.

A power series is a sum of terms of the form aₙ(x-c)ⁿ, where c and x are real numbers and n, is a non-negative integer. The power series can be expressed as

∑aₙ(x-c)ⁿn=0∞

The function represented by a power series is

f(x) = ∑aₙ(x-c)ⁿn=0∞.

The power series' radius of convergence is determined by the ratio test. It is defined as the greatest value of r for which the series converges absolutely for |x-c| < r and diverges for |x-c| > r.

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Answer:m-8n

Step-by-step explanation:

2m-m+3n-17n+6n

m-14n+6n

m-8n

Answer:

The equation Evaluate

2m + 3n - m - 17n + 6n = m -8n

We cannot say that the two events are independent since the probability of eating pizza and sushi together is not known. If the probability of eating both together is 0, then the events are mutually exclusive, and if the probability is greater than 0, then the events are dependent.

We cannot say that the events of Marco eating sushi and pizza are independent. Two events are independent if the occurrence of one does not affect the probability of the other. However, in this case, if Marco eats sushi for dinner, it reduces the probability that he will eat pizza for dinner since he never eats both together.

Similarly, if Marco eats pizza for dinner, it reduces the probability that he will eat sushi for dinner. Therefore, the events are not independent, and the occurrence of one event affects the probability of the other. In other words, the events are dependent.

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Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

Answer:

They are the same

Step-by-step explanation:

20g = 0.02kg

Answer:

75

Step-by-step explanation:

(0.45)(30) = (0.18)x

x = (0.45)(30) / (0.18)

x = 13.5 / 0.18 = 75

Check the answer:

(0.45)(30) = (0.18)(75)

13.5 = 13.5   answer is correct!

Answer:

Step-by-step explanation:

45% of 30 = 18% of some number

In this kind of questions, we usually assume the missing number as as something

Let the number be x

So assuming the number is x, the equation will be as follows:

45% of 30 is equal to 18% of x

45/ 100 * 30 = 18/100 * x

This means that 0.45 *30= 0.18 * x

Therefore, 13.5 = 0.18 x

Thus X = 13.5 / 0.18

Which is equal to 75

Thus 45% of 30 is equal to 18% of 75

Proving the above situation as follows:

45% OF 30 = 13.5

And 18% of 75 = 13.5

Thus both equations are equal.

Solution =75

The estimated probability of the spinner landing pink is 0.41.

The given table,

Section    Outcomes

Blue            45

Black           73

Pink            82

Here, number of favorable outcomes = 82

Total number of outcomes = 45+73+82

= 200

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Now, probability of an event = 82/200

= 0.41

Therefore, the estimated probability of the spinner landing pink is 0.41.

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The graph could be the graph of f(x) which is the correct answer would be option (B).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We are given the degree of the polynomial function f(x) to be 3; and

the roots of the equation f(x) to be 0 are -1, 0, and 4.

So we will put these values in the polynomial function of degree 3 to get:

f(x) = (x  -(-1))(x-0)(x-4)

f(x) = (x  + 1)x(x-4) = x³ - 3x² - 4x

According to this, the x-intercepts of this function on the graph will be:

(0, 0)

(-1, 0)

(4, 0)

So we will look for a graph that intercepts the x-axis at these points.

Therefore, the graph of the option (B) at the bottom right satisfies the conditions and is the graph of f(x).

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Answer: 11.44

Step-by-step explanation:

A = a + b / 2h = 8.49 + 16.97 / 2 * 0.9 = 11.44214

Which rounds up to: 11.44

I’m sorry, but i don’t know what it means by give answer in simpflied radical.

c. 1600

1200 : 3 * 4

= 400 * 4

= 1600

The capacity of this coliseum is 1600

The correct option is (C)

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.

Given:

Total people attended the Coliseum= 1200

let he capacity be x

3/4*x= 1200

x= 1200*4/3

x= 1600

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Your question is incomplete/other language, probably the traslated question/missing part is:

In a city coliseum, the final of a volleyball championship was played. In total, 1,200 people attended the Coliseum. this number of people represents 3/4 of its capacity. What is the capacity of this coliseum?

A parking sign is in the shape of a square. The area in square centimeters, is given by the equation: l^(2)=400 The length, l, of one side of the sign is  20 centimeters.

The equation l^2 = 400 represents the relationship between the length of one side of the square (l) and its area. To find the length of one side, we need to solve for l. In this case, we can take the square root of both sides of the equation to isolate l.

Taking the square root of 400, we get l = √400 = 20.

Therefore, the length of one side of the parking sign is 20 centimeters.

By substituting the value of l back into the equation, we can verify that it satisfies the equation: (20)^2 = 400, which is true.

Hence, the length of one side of the square parking sign is 20 centimeters.

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Answer:

I got you!

1. B.

2. D.

3. C.

4. E.

5. A.

Step-by-step explanation:

Answer:

1×1=

that's the right answer

Answer:

  m∠XOY = 80°

Step-by-step explanation:

We can make use of the fact that an exterior angle of a triangle is equal to the sum of the remote interior angles. The two angles marked with measures are exterior angles, so we can write the relations ...

  132° = O +b

  120° = O +a

Subtracting the second equation from the first, we get ...

  (132°) -(120°) = (O +b) -(O +a)

  12° = b -a

We observe that b:a = 13:10, a difference of 13-10 = 3 ratio units. Then each of those ratio units must stand for 12°/3 = 4°. The values of 'a' and 'b' are then ...

  a : b = 10 : 13 = 40° : 52° . . . . . multiply ratio units by 4°, note b-a = 12°

Using the value for 'a' in the second of the original equations, we find ...

  120° = O +40° . . substitute 40° for 'a'

  80° = O . . . . . . . subtract 40°

The measure of angle XOY is 80°.

The equation \(p*u*(dy/dx)\)has units of\(lb/ftº\), which is derived by multiplying the units of each of the three terms in the equation: \((lb/ft²)(ft/s)(1/ft).\)

\(p*u*(dy/dx)\)

\(lb/ftº = (lb/ft²)(ft/s)(1/ft)\)

\(= (lb/ft²)(ft/s)(ftº)= lb/ftº\)

1. The first term in the equation is pressure, p, which is measured in units of \(lb/ft².\)

2. The second term is absolute viscosity, u, which is measured in units of ft/s.

3. The third term, \((dy/dx)\) is the derivative of y with respect to x, and has units of 1/ft.

4. Multiplying the three terms together gives a result of\((lb/ft²)(ft/s)(1/ft)\)which is equal to\(lb/ftº.\)

The equation\(p*u*(dy/dx)\) has units of \(lb/ftº\), which is derived by multiplying the units of each of the three terms in the equation: \((lb/ft²)(ft/s)(1/ft).\)

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The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

For part (a), we can find a nonzero vector orthogonal to the plane through the points P, Q, and R by constructing a normal vector to the plane using the cross product of two vectors in the plane. The two vectors in the plane are \($\vec{PQ} = (1- (-2), 0-1, 1-3) = (3, -1, -2)$\) and \($\vec{PR} = (1-4, 0-2, 1-5) = (-3, -2, -4)$\). Taking the cross product of the two vectors gives us the normal vector to the plane, \($\vec{n} = \vec{PQ} \times \vec{PR} = (8, -8, 12)$\). Therefore, the vector orthogonal to the plane is \($\vec{n} = (8, -8, 12)$.\)

For part (b), the area of triangle PQR can be found using the formula for Heron's Formula, which states that the area of a triangle with sides a, b,and c is given by

\($A = \sqrt{s(s-a)(s-b)(s-c)}$\)

where \($s = \frac{a+b+c}{2}$\) . In this case, the sides are \($a = \|\vec{PQ}\| = \sqrt{3^2 + (-1)^2 + (-2)^2} = \sqrt{14}$, $b = \|\vec{QR}\| = \sqrt{(-2-4)^2 + (1-2)^2 + (3-5)^2} = \sqrt{14}$\), and\($c = \|\vec{PR}\| = \sqrt{(-3)^2 + (-2)^2 + (-4)^2} = \sqrt{29}$\). Plugging these values into the formula, we get

\(= \sqrt{s(s-a)(s-b)(s-c)} = \sqrt{\frac{7(7-\sqrt{14})(7-\sqrt{14})(7-\sqrt{29})}{4}} = \sqrt{7(7-\sqrt{14})^2(7-\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2(\sqrt{14}+\sqrt{29})} = \sqrt{7(7-\sqrt{14})^2\sqrt{43}} = \sqrt{301}$\)Therefore, the area of triangle PQR is \($\sqrt{301}$\)

The vector orthogonal to the plane through the points P, Q, and R is (8, -8, 12), and the area of triangle PQR is \($\sqrt{301}$\).

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Answer:

The maximum number of text messages you can send per month would be 41.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.12, so that would need a variable since it can change each month.  You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.12x+24.99≤30 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.12x≤5.01

3. Now, divide each side by 0.12.  Now your inequality is x≤41.75.  This represents how many text messages you can send per month without going over 30.

4. Finally, you have to realize that is impossible to send exactly 41.75 text messages.  So, you have to round down to 41 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

41 text messages

Step-by-step explanation:

The inverse of the function f(x)  = 4(x-3)² + 2 is \(f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3\)

The given function is:

f(x)   =  4(x  - 3)²  +  2

To find the inverse of the function:

Make x as the subject of the formula

\(4(x-3)^2 = f(x) - 2\\(x-3)^2 = \frac{f(x)-2}{4} \\x - 3 = \sqrt{\frac{f(x)-2}{4} } \\x = \sqrt{\frac{f(x)-2}{4} } + 3\)

Replace x by \(f^{-1}(x)\) and replace f(x) by x

\(f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3\)

Therefore, the inverse of the function is:

\(f^{-1}(x) = \sqrt{\frac{x-2}{4} } + 3\)

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Answer:

f(x) = \(3-\sqrt{x-2/4}\) such that x ≤ 3

Step-by-step explanation:

The inverse is found by switching x and y, then solving for y.

x = 4(y-3)²+2

x-2 = 4(y-3)²+2

\(\frac{x-2}{4} = (y-3)^{2}\)

±\(\sqrt{x-2/4} = y-3\)

3±\(\sqrt{x-2/4} = y\)

Therefore the equation is f(x) = \(3-\sqrt{x-2/4}\)

Graphing the equations, the range of the inverse is x ≤ 3. The range of an inverse is equal to the domain of the original function.

The domain of f(x) is x ≤ 3.

I also just took the test and got this question right.

To find f'(3), where f(t) = u(t) * v(t) and given u(3), u'(3), and v(t), we can use the product rule of differentiation. By evaluating the derivatives of u(t) and v(t) at t = 3 and substituting them into the product rule, we can determine f'(3).

The product rule states that if f(t) = u(t) * v(t), then f'(t) = u'(t) * v(t) + u(t) * v'(t). In this case, u(t) is given as 2, 1, -2 and v(t) is given as t, t^2, t^3. We are also given u(3) = 2, 1, -2 and u'(3) = 7, 0, 4.

To find f'(3), we first evaluate the derivatives of u(t) and v(t) at t = 3. The derivative of u(t) is u'(t), so u'(3) = 7, 0, 4. The derivative of v(t) depends on the specific form of v(t), so we calculate v'(t) as 1, 2t, 3t^2 and evaluate it at t = 3, resulting in v'(3) = 1, 6, 27.

Now we can apply the product rule by multiplying u'(3) * v(3) and u(3) * v'(3) term-wise and summing them. This gives us f'(3) = (u'(3) * v(3)) + (u(3) * v'(3)) = (7 * 3) + (2 * 1) + (0 * 6) + (1 * 2) + (-2 * 27) = 21 + 2 + 0 + 2 - 54 = -29.

Therefore, f'(3) = -29.

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a) Function f(x) = 2^x is an exponential growth function because a = 2 is greater than 0 and b = 2 is greater than 1. The graph of the function starts at (0,1) and increases rapidly as x increases.

b) Function f(x) = (1/2)^x is an exponential decay function because a = 1/2 is greater than 0 and b = 1/2 is between 0 and 1. The graph of the function starts at (0,1) and decreases rapidly as x increases.

Key features of both graphs:

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Answer:

28°

Step-by-step explanation:

63 -35 = 28

Answer:

1  I think

Step-by-step explanation:

took this last year but I think triangles have an angel of 180*

a) Consider the experiment of picking 3 tax returns at random as 3 related experiments (due to the fact that it is without replacement); then, as for the first time one selects a tax return,

As for the second time we grab a tax return, there are 69 tax returns in total and 9 of them contain errors; thus,

Similarly, as for the third picking round,

Finally, the probability of experiment a) is

Rounded to one decimal place, the probability of event a) is 65.7%

b) Similarly, in the event of all three tax returns containing errors,

Thus,

The probability of event b) is 0.2%. It is quite unusual.

c) The condition 'at least one of those containing errors' includes the cases when 1, 2, or 3 tax returns of the ones selected have errors. Notice that

Therefore,

And we found the probability of picking 3 tax returns without any errors in part a); thus,

The probability of event c) is 34.3%.

d) Analogously to part c), the probability of selecting at least one without errors is

The probability of event d) is 99.8%, and it is not improbable at all.

Moe Larry

35 + 20x 60 + 10x

35 + 20x = 60 + 10x

(show work)

x = 2.5

Moe and Larry will have the same amount of money in their savings accounts after 2.5 weeks.

-From TheRealMarinette

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