Expand and Simplify (x-2)^2
options

x^2+4x+4

x2 − 4

x^2 - 4x + 4

x^2+4

Answer:

Step-by-step explanation:

.

The best way for Anthony to plan his garden is to create a rectangular plot. He can use the side of the barn as one side of the rectangle, and then measure out the other three sides. The total length of the three sides will be 176 feet. He can divide this into two sides that are 88 feet long and two sides that are 44 feet long. This will give him a rectangular plot that is 176 square feet.

Once Anthony has the dimensions of the plot, he can build a fence around it to protect it from rabbits. He can use a variety of materials such as wood, wire, or plastic mesh to build the fence. The fence should be at least four feet tall and buried at least six inches deep to be effective. If he chooses to use wire, he should use thick, galvanized wire to make sure that the rabbits cannot chew through it.

Once the fence is in place, Anthony can begin planting his garden. He should also consider adding a layer of mulch or straw around the outside of the fence to discourage the rabbits from digging underneath it. With the right planning and protection, Anthony should be able to enjoy a successful garden.

Answer:

-10

+12

Step-by-step explanation:

-2 * +5   =  -10

-4 * -3  =   +12

Answer:

(-2) x (5) = -10

When multiplying by a negative and a positive the answer will be negative

(-4) x (-3) = 12

When you are multiplying by two negatives: The negatives cancel making it a positive

Answer:

9

Step-by-step explanation:

A hundred millions is: 100,000,000

looking at the number the number in the place hundred millions place is 9, so the answer is 9.

Answer:900,000,000

The digit is 9

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Substitute x for -2

3(-2)^2 - (-2)

3(4) +2

12+2=14

The two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

Median is used to identify the central tendency of the data and is calculated by sorting the data in order from smallest to largest and then selecting the middle value.

Since the median weight of the wrestlers increases by 3 pounds, the median of the new data set (with the two new wrestlers) must be 153 pounds.

To calculate the weights of the two new wrestlers, we need to arrange the data set in ascending order first.

When the two new wrestlers are included, the new data set looks like this: 112, 130, 142, 150, 178, 206, x, y.

The median number in this data set is the average of the third and fourth numbers, 150 and 178.

Thus, the equation is written as

(150 + 178) / 2 = 164.

We can then solve this equation to find the weights of the two new wrestlers.

150 + 178 = 328

328 / 2 = 164.

So, the two new wrestlers must weigh 164 pounds each in order for the median to increase by 3 pounds.

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In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.

To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.

Here are the vocabulary words and their corresponding examples:

Vocabulary Word: In-state

Example: A student who is a resident of the same state where the university is located.

They pay lower tuition fees compared to out-of-state or foreign students.

Vocabulary Word: Out-of-state

Example: A student who is not a resident of the state where the university is located.

They typically pay higher tuition fees compared to in-state students.

Vocabulary Word: Foreign

Example: A student who is from a country other than the country where the university is located.

They are international students who may have different visa requirements and tuition fees.

To match these vocabulary words with their corresponding examples:

In-state: A student from the same state as the university, paying lower tuition fees.

Out-of-state: A student from a different state than the university, paying higher tuition fees.

Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.

By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.

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The measures of the non-right angles of each triangle are 40 degrees and 50 degrees.

The sum of the interior angles of a regular 18-gon can be found using the formula:

S = (n - 2) × 180 degrees

n is the number of sides of the polygon.

Substituting n = 18 we get:

S = (18 - 2) × 180 degrees

= 2880 degrees

The 18-gon into 36 right triangles need to draw 18 lines from the center of the polygon to its vertices dividing the polygon into 36 congruent sectors each with a central angle of 360 degrees / 18 = 20 degrees.

Each sector is an isosceles triangle with two sides of equal length radiating from the center of the polygon.

The vertex angle of each isosceles triangle is equal to twice the central angle or 40 degrees.

Since the vertex angle of a right triangle is 90 degrees the two non-right angles of each right triangle are 40 degrees and 50 degrees.

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Answer:

\(h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e]\)

Step-by-step explanation:

Let \(h(x) = f(x)^{x}\), the first derivative of the function is found by applying the concept of implicit differentiation:

\(h(x) = f(x)^{x}\) (1)

\(\ln h(x) = x\cdot \ln f(x)\)

\(\frac{h'(x)}{h(x)}=\ln f(x) +\frac{x\cdot f'(x)}{f(x)}\)

\(h'(x) = h(x) \cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right]\)

\(h'(x) = f(x)^{x}\cdot \left[\ln f(x)+\frac{x\cdot f'(x)}{f(x)} \right]\)

\(h'(x) = f(x)^{x-1}\cdot [f(x)\cdot \ln f(x)+x\cdot f'(x)]\) (2)

If we know that \(x = e\),  \(f(e) = 7\) and \(f'(e) = 6\), then \(h'(e)\) is:

\(h'(e) = 7^{e-1}\cdot [7\cdot \ln 7+6\cdot e]\)

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

3.88 Pints

Step-by-step explanation:

First we need to find the amount of blue paint that was used. We can do that by multiplying 9.7 by 0.60 since that is 3/5 in decimal form

\(9.7*0.60=5.82\)

Now we know how much blue paint was used, now we just need to find how much white paint was used. We can do that by subtracting our amount of blue paint from the total amount of paint used

\(9.7-5.82=3.88\)

thus, 3.88 is the amount of white paint used

Answer: 1/15

Step-by-step explanation: 3*5=15

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

The answer is A

Step-by-step explanation:

Edg : )

Answer:

A

Step-by-step explanation:

Answer:

The length will be 4.5 × 3.5 = 15.75 feet

The width will be 6 × 3.5 = 21 feet

So the area will be

15.75 feet × 21 feet = 330.75 square feet

Answer:

me too (help)

Step-by-step explanation:

Answer:

119 pounds

Step-by-step explanation:

Glass :

1) 9 pounds

2) 8 pounds

9 + 8 = 17 pounds

Newspaper

1) 123 pounds

2) 13 pounds

123 + 13 = 136 pounds

136 - 17 = 119 pounds

If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.

The "Circumference" of a circle is known as the distance around the boundary of a circle.

The circumference of a circle is given by the formula : 2 × π × radius,

where π (pi) is a mathematical constant approximately equal to 3.14,

We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :

⇒ Circumference = 2 × 3.14 × 4.2 meters,

⇒ Circumference ≈ 26.4 meters,

Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.

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Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

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Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Answer:

We reject H0; that there is significant evidence to support that there is difference in the variation in the listening times for men and women

Step-by-step explanation:

Given that :

n1 = 10 ; s1 = 13 ; n2 = 16 ; s2 = 14 ; α = 0.1

Null : H0 : σ1² = σ2²

Alternative : H1 : σ1² ≠ σ2²

To compute the test statistic ; using the Ftest:

F-test = σ2² / σ1² = 14² / 13²

F-test = 14²/13² = 196 / 169 = 1.1597

Decision region :

Reject Null, H0 ; if

Ftest < Fcritical

F critical at:

At α/2 = 0.10/2 = 0.05

df_numerator = 16 - 1 = 15

df_denominator = 10 - 1 = 9

Using F critical calculator :

Fcritical = 3.006

1.1597 < 3.006

Since, Ftest is lesser than Fcritical, then we reject H0

Answer:

-5+3=-2

1/4 of 24 = 6

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

1,2 and 6

Step-by-step explanation:

pie symbol

2/3

0.333333....

Answer:

what is your problem?    

Step-by-step explanation: