Approximate square root 80 by using perfect squares. 80 is between which two perfect squares? What are the square roots of those two perfect squares? What is the approximate value of square root 80?

Solutions to the inequality are point (-2 , -2), (0,1) and (2, 5)

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

Given,

A dashed straight line passes through (-1.5 , 0) and (0,3)

Equation of the line

y - y₁ = ((y₂ - y₁)/(x₂ - x₁)). (x - x₁)

y - 0 = ((3 - 0)/(0 - -1.5)). (x - -1.5)

y = 2x + 3

Shaded region is right side the dashed line,

Inequality becomes,

y < 2x + 3

For point (-3 , 3)

3 < 2(-3) + 3

3 < -6 + 3

3 > -3

(-3 , 3) is not a solution for inequality.

For point (-2 , -2)

-2 < 2(-2) + 3

-2 < -4 + 3

-2 < -1

(-2 , -2) is a solution for inequality.

For point (-1 , 1)

1 < 2(-1) + 3

1 < -2 + 3

1 = 1

(-1 , 1) is not a solution for inequality.

For point (0 , 1)

1 < 2(0) + 3

1 < 3

(0 , 1) is a solution for inequality.

For point (2 , 5)

5 < 2(2) + 3

5 < 4 + 3

5 < 7

(2 , 5) is a solution for inequality.

Hence, point (-2 , -2), (0,1) and (2, 5) are solutions to the inequality.

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Answer:

40

112

2n^2 + 2n       C

Step-by-step explanation:

a)The correct formula is 2n^2 + 2n

So for n =4, the answer is

2*4^2 + 2*4

2*16 + 8

32 + 8

40

b) For the seventh answer you get

2 * 7^2 + 2*7

2*49 + 14

98 + 14

112

c) The correct formula to use is

2n^2 + 2n  See diagrams for the number of matchsticks to be used.

n                    2n^2 + 2n

1                    2*1^2 + 2*1

1                    2 + 2

1                    4

2                    2*2^2 + 2*2

2                    2* 4 + 4

2                    8 + 4

2                    12

3                    2*3^2 + 2*3

3                    18 + 6

3                    24

What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams.  I'm sorry I didn't read the question more carefully.

Answer: -210 is your answer

Step-by-step explanation:

I took the test and worked it out

Answer: -210

Step-by-step explanation: remembered answering this question once and -210 was the right answer

Answer:

$159.24 is the balance after 9 months is the answer that you seek

Step-by-step explanation:

Answer:

the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Step-by-step explanation:

To find the savings plan balance after 9 months with an APR of 8% and monthly payments of $250, we can use the formula for the future value of an annuity:

FV = Pmt x ((1 + r/n)^(n x t) - 1) / (r/n)

where:

FV = future value

Pmt = monthly payment

r = annual interest rate

n = number of compounding periods per year

t = time in years

In this case, we have:

Pmt = $250

r = 8%

n = 12 (since payments are made monthly)

t = 9/12 = 0.75 (since 9 months is three-quarters of a year)

Substituting these values into the formula, we get:

FV = $250 x ((1 + 0.08/12)^(12 x 0.75) - 1) / (0.08/12)

FV ≈ $2,366.98

Therefore, the savings plan balance after 9 months with an APR of 8% and monthly payments of $250 is approximately $2,366.98.

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer: The missing values in the ratio table will be 0.666 and 5.33 inches.

Step-by-step explanation:

As the ratio of the terms is equal. The value of x and y is ,

2/3 = x/1

x=2/3

x=0.66 inches

In order to obtain y,

2/3 = y/8

y=2×8/3

y=16/3

y=5.33 inches.

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

Answer: B

Step-by-step explanation:

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

200

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(120^{2}\) + \(160^{2}\) = \(c^{2}\)

14400 + 25600 = \(c^{2}\)

40000 = \(c^{2}\)

\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)

200 = c

Jesus love you.

Answer: they should choose the 2 week term

They would only have to 685 instead of 756

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

\( \sqrt{( - 3 - x) ^{2} + {( - 2 - 3)}^{2} } = \\ \sqrt{ {(4 - x)}^{2} + {(5 - 3)}^{2} } \\ \\ 9 + 6x + {x}^{2} + 25 = \\ 16 - 8x + {x}^{2} + 4 = = = > \\ 34 + 6x = 20 - 8x = > \\ 14 = 14x = = = > x = 1\)

Done

The value of x that makes up the coordinate of B is -1

To find the value of x, we need to determine the coordinates of point B.

Since A to (B) = B to (C), the distance from point A to point B is equal to the distance from point B to point C. The distance between two points in a coordinate plane can be calculated using the distance formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

Let's calculate the distances:

Distance A to (B):

x₁ = -3 (x-coordinate of point A)

y₁ = -2 (y-coordinate of point A)

x₂ = x (x-coordinate of point B)

y₂ = 3 (y-coordinate of point B)

Distance A to (B) = √((x - (-3))² + (3 - (-2))²)

Distance A to (B) =√((x + 3)² + 5²)

Distance A to (B) = √(x² + 6x + 9 + 25)

Distance A to (B) = √(x² + 6x + 34)

Distance B to (C):

x₁ = x (x-coordinate of point B)

y₁ = 3 (y-coordinate of point B)

x₂ = 4 (x-coordinate of point C)

y₂ = 5 (y-coordinate of point C)

Distance B to (C) = √((4 - x)² + (5 - 3)²)

Distance B to (C) = √((4 - x)² + 2²)

Distance B to (C) = √((4 - x)² + 4)

Distance B to (C) = √(x² - 8x + 20)

Since A to (B) = B to (C):

√(x² + 6x + 34) = √(x² - 8x + 20)

Now, we can square both sides to get rid of the square root:

x² + 6x + 34 = x² - 8x + 20

Next, move all the x terms to one side of the equation:

x² - x² + 6x + 8x = 20 - 34

Combine like terms:

14x = -14

Finally, solve for x:

x = -14 / 14

x = -1

So the value of x is -1. Point B is located at (-1, 3).

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Answer:

not sure

Step-by-step explanation:

a+B+C+=d

Answer:

FG

Step-by-step explanation:

FG is the reflection in line L

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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The value of expression after implicitly differentiation with respect to x is,

⇒ x dy/dx + y + 2 + 6x = 0

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ xy + 2x + 3x² = 4

Now, We can implicitly differentiation with respect to x as;

⇒ xy + 2x + 3x² = 4

⇒ x dy/dx + y + 2 + 6x = 0

⇒ x dy/dx + y + 2 + 6x = 0

Thus, The value of expression after implicitly differentiation with respect to x is,

⇒ x dy/dx + y + 2 + 6x = 0

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Answer:

3

Step-by-step explanation:

It has one because the 4 is the significant digit and the 0 doesn't count. However, if you had 40.0 , you would have three, because the 0 after the decimal point and the 4 count and the numbers between the significant digits also count.

Answer:

The number of significant figures of 40 is 1

Answer:

AAS

Step-by-step explanation:

angle w=angle y

angle z=angle x

wz=xy

Answer:

Length= 30 ft

Width= 18ft

Step-by-step explanation:

The perimeter of the rectangular patio is to be 96 feet.

the length is to be 6 feet less than twice the width

Perimeter=2(length+width)

But

Length= 2(width)-6

Substituting in perimeter equation

Perimeter=2(length+width)

Perimeter=2((2(width)-6)+width)

Perimeter= 96 feet

Let width= x

Perimeter=2((2(width)-6)+width

96=2((2(x)-6)+x)

96= 4x-12+2x

108= 6x

18= x

Width= 18ft

Length= 2(width)-6

Length= 2(18)-6

Length= 36-6

Length= 30 ft

Step-by-step explanation:

Hey there!

The coordinates of a triangle are;

Now, We have;

P(x,y)----------- P'(kx, ky)

Keep formula;

A(1,2)---------- A'(-4×1 ,-4×2)

= A'(-4, -8)

B(1,-2)------------- B'(-4,8)

C(-2,-2)-------------C'(8,8)

[ The A' should be kept in (-4,-8). There was no place in this graph so, i kept it just below -7. Please while plotting remember to keep it on "-8".]

Hope it helps..

Answer:

the answer is to make the first offer!

Step-by-step explanation:

Since the surplus ($100000) is rapidly depleting, and though the second individual collects the whole surplus, it is already less than half of the surplus from the previous day. So, once you make the first bid, any offer above 100,000 would be fair to the second person and if he rejects the offer, he will only be able to get 100,000 the next day. You will raise the payout by 100000(1 ) this way.

Answer:

I think that the answer is 83 but im not sure. I tried to solve it and i got 83. I hope its right.

Systematic random sampling is used when selecting every nth item from a list of items. In this example, every 49th student starting with the 3rd student is selected.

In systematic random sampling, a list of items is created and every nth item is selected for the sample. This technique is useful when selecting a representative sample from a large population of items. In the example given, 496 students were listed and every 49th student starting from the 3rd student was selected. This is a systematic random sampling technique because the items were selected in a systematic and random fashion. The selection of every 49th student starting from the 3rd student ensures that the sample is representative of the population while also randomizing it so that all students have an equal chance of being selected.

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The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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Answer:

5x + 7

Step-by-step explanation:

Distribute 3x + 15 + 2x - 8

Combine like-terms 5x + 7

Answer:

5x + 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

3(x + 5) + 2(x - 4)

Step 2: Simplify

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

14

Step-by-step explanation:

7x2