Given f(x) = -x + 2, find f(-5).

To find the missing value we can us the sine function:

in this case the missing value x is the hypotenuse, the opposite leg is 35 and the angle is 45°, then we have:

Then we have that x=42.4

Answer:

What is a mean?

A mean is the average of all the numbers in a data set.

How can I find mean?

to find mean you add up all the numbers in the data set; and divide them by the amount of numbers there are.

103+3+41+7=154

154÷4=38.5

The mean is 38.5

You went to the supermarket to buy 10 bananas. Each banana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much would you have to pay?

You do 10 x 50 = 500                     /                      Your bananas weigh 500g

$6.50 halved is $3.25                     /                       So $3.25 for 500g

So your answer is $3.25

Hope this helps! :)

A high correlation is insufficient to establish causation on its own.

Answer:

16 ft

Step-by-step explanation:

height of pyramid = (3×512)/(½×24×8)

= 1536/96

= 16 ft

Taking the quotient between the mass of the box and the mass of a single ball, we conclude that there are 64 balls in the box.

We want to find the number of balls in a box weighing 10 kg, we need to convert the weight of one ball to kilograms and then divide the total weight of the box by the weight of one ball.

Given that the weight of one ball is (156 + 1/4) g, we can convert it to kilograms:

Weight of one ball = (156 + 1/4) g = (156.25) g = 0.15625 kg

Next, we divide the total weight of the box (10 kg) by the weight of one ball (0.15625 kg):

Number of balls = 10 kg / 0.15625 kg = 64

there are 64 balls in a box weighing 10 kg.

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Answer:

if she types 50 words per minute it would be 16 minutes for her to get to 800 words

Step-by-step explanation:

Answer:

Step-by-step explanation:

800 divided by 50 = 16

To find the median of two sorted arrays of sizes m and n, we need to merge the two arrays into one sorted array and then find the median of that array. However, we can't simply merge the two arrays using a linear approach as it would take O(m+n) time, which doesn't meet the requirement of O(log(m+n)) time. Instead, we can use a binary search algorithm to find the median in O(log(m+n)) time.

The basic idea is to compare the medians of the two arrays and eliminate half of the elements from one or both of the arrays based on their comparison with the median. We keep doing this until we are left with only one or two elements, and then we can easily calculate the median.

Here's how the algorithm works:

1. Initialize two pointers, one for each array, and set their values to the beginning and end of the respective arrays.
2. Calculate the midpoints of the two arrays and compare their values.
3. If the median of the first array is greater than the median of the second array, then we know that the median of the combined array will be in the first half of the first array and the second half of the second array. So we can eliminate the second half of the second array and the first half of the first array by adjusting the pointers accordingly.
4. If the median of the second array is greater than the median of the first array, then we know that the median of the combined array will be in the second half of the first array and the first half of the second array. So we can eliminate the first half of the second array and the second half of the first array by adjusting the pointers accordingly.
5. Repeat steps 2-4 until we are left with only one or two elements.
6. If we are left with one element, then that element is the median. If we are left with two elements, then the median is the average of the two elements.

This algorithm runs in O(log(m+n)) time because we are eliminating half of the elements in each iteration, which results in a logarithmic time complexity.

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Step-by-step explanation:

x²+3x-10 =

(x+5)(x-2)

______

Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

Answer:

(-2,-6)

Step-by-step explanation:

Answer:

diagonally, both numbers on top, both numbers on bottom.

Step-by-step explanation:

Diagonally, because cross-multiplying. And the other two are obvious.

Step-by-step explanation:

\(\bf a = 2^{10}\cdot 3^{6} :6^{8}\)

\(\bf a = 2^{10}\cdot 3^{6} :\big(2^{8}\cdot 3^{8}\big)\)

\(\bf a = 2^{10-8}\cdot 3^{6-8}\)

\(\bf a = 2^{2}\cdot 3^{-2}\)

\(\bf a = 2^{2}\cdot \dfrac{1}{3^{2}}\)

\(\bf a = \dfrac{2^{2}}{3^{2}}\)

\(\red{\boxed{\bf a = \bigg(\dfrac{2}{3}\bigg)^{2}\implies patrat ~perfect}}\)

Answer:

y=(x-5)^2

Step-by-step explanation:

Y= (x-5)^2

Y= 1/3x +8

Y - 4 = 2(x-1)

9x - 2y = -18

This equation is exponential so it won't have a straight slope.

Answer:

False

Step-by-step explanation:

r × 100

= 0.500 × 100

= 50

50 = 5,000%

False (5,000% ≠ 50)

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

Here are some actions to take:

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

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Answer:

7 times (*) 8

Step-by-step explanation:

Product in this case means multiplication

A 403(b) retirement plan is classified as an asset.

The definitions for each of assets and liabilities are presented as follows:

Hence one example of each is given as follows:

In the context of this problem, a 403(b) is a retirement plan, hence it is classified as an asset instead of a liability.

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The quadilateral MNOP has been rotated clockwisely by 90 degrees

The coordinates of the rotated shape are

Mi (4, -2)

Ni (1. -3)

Oi(0, -1)

Pi (2, 0)

Answer:

y=5/3x−6

5/3 is your slope

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3y = 5x - 18 ( divide all terms by 3 )

y = \(\frac{5}{3}\) x - 6 ← in slope- intercept form

with slope m = \(\frac{5}{3}\) and y- intercept c = - 6

Answer:

180.....1888888888888888

Answer:

90 degrees

Step-by-step explanation:

Decagon interior angles: 1,440 degrees

1440 - 1170 = 270

270/3 = 90

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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Answer: Yes they’re equivalent

Step-by-step explanation:

The two salesperson will both charge the same amount after 5 hours

Setting up the equation for the problem thus:

Salesperson A :

50 + 5h ___(1)

Salesperson B :

15h ____(2)

Equating (1) and (2)

50 + 5h = 15h

collect like terms

50 = 15h - 5h

50 = 10h

divide both sides by 10 to isolate h

h = 5

Hence, they will both charge the same amount after 5 hours .

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Answer: 3

Step-by-step explanation:

22-16 = 6 divided by 2 is 3

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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