simplify (5+1)2 - (12+32) /3

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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The approximate length of arc CB is given as follows:

14.17 cm.

The circumference of a circle of radius r is given by the multiplication of 2 by the number π = 3.14 and the radius r, as follows, hence the equation is given as follows:

C = 6.28r.

The radius for this problem is given as follows:

r = 7 cm.

The angle relative to arc CB is given as follows:

2 x 58º = 116º.

As an entire circumference has an angle of 360º, the approximate length of arc CB is obtained as follows:

116/360 x 6.28 x 7 = 14.17 cm.

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The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.

An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.

Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.

Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.

In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.

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Answer:

Angle 1 - 24 degrees

Angle 2 - 48 degrees

Angle 3 - 66 degrees

Angle 4 - 66 degrees

Angle 5 - 24 degrees

Angle 6 - 66 degrees

Angle 7 - 132 degrees

Step-by-step explanation:

I wanted to get this too you as fast as possible. I will add a detailed explanation in the comments.

Answer:

36 km

Step-by-step explanation:

60% of 60km

60/100

.6*60=36

36 km

Answer:

The answer is 36km im taking that tes right now

Step-by-step explanation:

-16

-2[3(6+2)-4^2]

-2[3(8)-4^2]

-2[3(8)-16]

-2[24-16]

-2[8]

-16

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

-5v+19

Step-by-step explanation:

-5v+2-1+7v+11v

-5v+2-1+18

-5v+1+18

-5v+19

Answer:

\(b = -a +\frac{1}{4}c\)

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract 4a from both sides.

Step 3: Divide both sides by 4.

Therefore, the answer is \(b = -a + \frac{1}{4}c\).

Hope you have a lovely rest of your day/night.

Answer:

b = \(\frac{c - 4a}{4}\)

Step-by-step explanation:

c = 4a + 4b

Subtract 4a from both sides:

c - 4a = 4a - 4a + 4b

c - 4a = 4b

Divide both sides by 4 to solve for b:

\(\frac{c - 4a}{4} = \frac{4b}{4}\)

b = \(\frac{c - 4a}{4}\)

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Answer:

The number of sunny days this year = 0.75x

where,  x is the sunny days in last years.

Step-by-step explanation:

Given - This year there was 25% fewer sunny days than last year.

To find - What is the number of sunny days this year?

Proof -

Let us assume that,

The total number of sunny days last year = x

Given that,

This year there was 25% fewer sunny days than last year.

i.e this year total sunny days = 100 - 25 = 75 %

So,

we get

If there were x sunny days last year,

Then,

This year Total sunny days = 0.75x

Among the measures of central tendency (mean, median, mode), the median must be an actual piece of data in the distribution.

The median is the middle value of a dataset when it is arranged in ascending or descending order. It represents the value that divides the dataset into two equal halves. Since it is based on the actual data points, the median must be one of the actual values in the distribution.

In contrast, the mean is calculated by summing all the data points and dividing by the total number of data points.

The mode represents the most frequently occurring value(s) in the dataset. These measures do not necessarily have to correspond to actual data points in the distribution.

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Answer:

Options A, C and D are correct ones.

Step-by-step explanation:

Options A, C and D are correct.

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

Answer:

the answer is b

Step-by-step explanation:

I did the test

To utilize the gross profit method, the following information is needed:

1. Beginning Inventory: The value of inventory at the beginning of the accounting period is required.

It represents the cost of inventory available for sale before any purchases or sales occur.

2. Net Sales: The total amount of sales made during the accounting period, excluding any sales returns, allowances, or discounts.

3. Gross Profit Percentage: The gross profit percentage is calculated by dividing the gross profit by net sales. It represents the proportion of net sales that contributes to covering the cost of goods sold.

4. Ending Inventory: The value of inventory at the end of the accounting period is necessary. It represents the cost of unsold inventory that remains on hand.

By using the gross profit percentage, the method allows for estimating the cost of goods sold (COGS) during the accounting period based on the net sales and the desired gross profit percentage. The estimated COGS can then be subtracted from the beginning inventory to determine the estimated ending inventory.

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The coordinates of the image of EB are (0, -1) and (-6, 18).

Dilation is a process for creating similar figures by changing the dimensions.

The center of dilation is given as (3, -1) and the scale factor is 3.

The distance between the center of dilation and point E is:

d = √((3-2)² + (-1-(-1))²) = 1

The distance between the center of dilation and point B is:

d = √((3-0)² + (-1-5)²) = sqrt(65)

To find the new distance, we multiply the distance by the scale factor:

For point E: 3 × 1 = 3

For point B: 3 × √(65)

Now, we can find the coordinates of the image:

For point E:

x = 3 × (2 - 3) + 3 = -3 + 3 = 0

y = 3 × (-1 -(-1)) -1 = 0 - 1 = -1

So the image of E is (0, -1).

For point B:

x = 3 × (0 - 3) + 3 = -9 + 3 = -6

y = 3 × (5 -(-1)) -1 = 18

So the image of B is (-6, 18).

Therefore, the coordinates of the image of EB are (0, -1) and (-6, 18).

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Option b is true to match the vector field f with the given plot f(x, y)=x, -y

The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).

Given,

f(x, y) = x, -y

gt; at x⇒∞, y⇒-∞ downwards

at x⇒∞, y⇒+∞ downwards

Therefore, option b is true to match the vector field f with the given plot

f(x, y)=x, -y

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The complete question is as follows:

Match the vector field f with the correct plot. f(x, y) = x, −y

Answer: 6

Step-by-step explanation: I think think the answer is 6 because if you cut 6 in half you get 3 and if cut 4 in half u get 2 the mutiply them...dont get mad if it wrong

Answer: A = 24 units^2

Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.

A = (w)(l)                                                                                                                   A = (6)(4)                                                                                                               A = 24 units^2

Answer:

112

Step-by-step explanation:

According to pemdas we do what’s in parentheses first and then multiply

5.6(7+13)

5.6(20)

112

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Answer:

It would be 10 days

Step-by-step explanation:

If one cookie takes 18 coins and EACH cookie is 18 it would take 10 days

hope this helps mate

Answer:

Even though it's in fraction form it's still a whole number.

Step-by-step explanation:

Here's an example to make this easier-

If you cut an orange into 8 slices and count all the parts it's 8/8, but you still have 1 whole orange. I hope this makes sense! have a great day! ^^

The area between the curves is 9/2 square units.

To find the area between the curves x = y² - 2 and x = 2y, we need to determine the limits of integration and set up the double integral.

First, let's find the points of intersection between the two curves:

y² - 2 = 2y

y² - 2y - 2 = 0

Using the quadratic formula, we find y = 1 ± √3.

To determine the limits of integration, we need to consider the range of y-values over which the curves intersect. Since the curve x = y² - 2 is a parabola opening upwards, and x = 2y is a line, we can see that the curves intersect when 1 - √3 ≤ y ≤ 1 + √3.

Now, we can set up the double integral to find the area between the curves:

A = ∬R dA

where R is the region bounded by the curves.

We can integrate with respect to x first. The limits of integration for x will be the x-values of the curves at each y:

For the curve x = y² - 2, the limits of integration for x are y² - 2 to 2y.

For the curve x = 2y, the limits of integration for x are 2y to y² - 2.

Now, we integrate with respect to y:

A = ∫[1-√3 to 1+√3] ∫[y²-2 to 2y] dx dy.

Evaluating this double integral will give us the area between the curves.

After performing the integration, we find that the area between the curves is 9/2 square units.

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Answer:

Step-by-step explanation: 70 2.5 60

Answer:

1 golf ball : $2.50

Step-by-step explanation:

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

Explanation: A spherical triangle is a triangle formed on the surface of a sphere by three great circle arcs intersecting pairwise to form three vertices. Any three points that do not lie on a great circle of the sphere will not determine a spherical triangle. Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere. Any set of three non-collinear points that do not lie on a great circle of the sphere does not determine a spherical triangle.

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

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SSS

side - side - side

HOPE IT HELPS...!!!

The lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

To calculate the lower confidence interval for the mean life of the new type of LED, we can use the formula:

Lower confidence limit = sample mean - (critical value) x (standard error)

where the standard error is the standard deviation of the sample mean, given by:

standard error = sample standard deviation / √sample size

The critical value depends on the confidence level and the degrees of freedom, which for a sample of size 9 is 8 (n-1).

For a 95% confidence level, the critical value with 8 degrees of freedom is 2.306. Substituting the given values into the formula, we get:

Lower confidence limit = 5200 - 2.306 x (150 /√9 )

= 5200 - 115.3

= 5084.7

Therefore, the lower confidence interval for the mean life of the new type of LED at a 95% confidence level is [5084.7,∞ )

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f(x) = -2x and g(x) = 4x - 8, find h(x) = f(x) + g(x).

Replace f(x) and g(x) with their given values:

h(x) = -2x + 4x -8

Combine like terms:

h(x) = 2x -8

Answer:

C

Step-by-step explanation:

parallel means no matter how far you stretch it the 2 lines will never touch and these 2 lines won’t EF and CD

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