what is the product of (9+x)(9-x)

Answers

Answer 1

Answer:

81 - x^2

Step-by-step explanation:

this is a "special product," namely, the product of the sum and the difference of quantities 9 and x.

The product is the difference of two squares:

(9 + x)(9 - x) = 81 - x^2


Related Questions

a wooden cylinder beam of length 5 meters has a radius of 210cm. the wood density is 693kg/m
i) calculate the volume of the beam in cubic meters
ii) calculate the mass of the beam in kilograms.

Answers

Answer:

Cylinder Volume   =   π • r² • height

Volume = PI * .210 m^2 * 5

Volume = 0.6927211801 cubic meters

Wood has a mass of 693 / cubic meter

mass = 0.6927211801 * 693 = 480.06 kilograms

Step-by-step explanation:

Please help me :(!!!!!!

Answers

Answer:

A =101.956 cm^2

Step-by-step explanation:

The area of the parallelogram is given by

A = bh

A = 14.2 * 7.18

A =101.956 cm^2

Answer:

101.956

Step-by-step explanation:

Area equals bh

7.18(14.2)

25x120 can someone help me please

Answers

Answer:

Your correct answer is 3,000

Step-by-step explanation:

                 25

             x 120

             -------------

                3,000

25 * 12 = 300

Now, you add an extra zero to get your answer.

Answer:

3000

Step-by-step explanation:

25 * 120

120

25

-------

600

240

3000

25 * 12 = 300

then add zero to end

3000

△ABC has vertices at A(1, 1), B(2, 3), and C(3, 1). △DEF has vertices at D(–1, 1) , E(–2, 4), and F(–3, 1). Is △ABC congruent to △DEF? Choose the correct response.

Answers

Answer:

sorry I don't know understand

do all cells come for preexisting bones

Answers

The generally accepted parts of modern cell theory include: All known living things are made up of one or more cells. All living cells arise from pre-existing cells by division. The cell is the fundamental unit of structure and function in all living organisms.

hope it helps!!!! :]

Please help! Correct answer only, please! I need to finish this assignment this week. ;; Given matrix A and B both have dimensions 2 x 2 and are the inverse of one another what should be the following product? A · B A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

Find the perimeter and the area of the composite shape..

Answers

Answer:

I think that it is 39.2 but i'm not 100% sure

Step-by-step explanation:

Hope this helps!

Find the volume of the cone
Either enter an exact answer or answer in terms of Pi or use 3.14 for Pi and round your final answer to the nearest hundredth

Answers

Answer:

12pi

Step-by-step explanation:

The area of a cone is [tex]\frac{1}{3} \pi r^2 h[/tex], or in this case:

[tex]\dfrac{1}{3}\pi \cdot 3^2 \cdot 4=12\pi[/tex]

Hope this helps!

Please help me with this!!

Answers

Answer: Second picture, B

Step-by-step explanation:

Sine is opposite/hypotenuse. Since this is inverse sine, we are looking for the measure of the angle, but the opposite /hypotenuse still applies to sine. We need to find the figure that has 5 opposite of ∠x and 8.3 is the hypotenuse.

We can eliminate C and D because 8.3 is not the hypotenuse, when it has to be according to sine.

The first picture shows that 8.3 is the hypotenuse, but 5 is not opposite of ∠x. It is adjacent to ∠x. This would actually be cos⁻¹(5/8.3).

The second picture, B, shows that 5 is the opposite of ∠x and 8.3 is the hypotenuse. Therefore, B is correct.

Answer:

C

Step-by-step explanation:

[tex]sin^{-1} x = csc x\\[/tex]

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

[tex]csc = \frac{1}{sin} = \frac{1}{\frac{opposite}{hypotenuse}} = \frac{hypotenuse}{opposite}[/tex]

hypotenuse is 5 and opposite is 8,3 -----> third option

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has pmf. Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

Answers

Complete Question:

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X = the number of batches ordered by a randomly chosen customer, and suppose that X has the pmf shown in the table below. Compute E(X) and V(X).

Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

NOTE: The pmf is shown in the file attached

Answer:

Expected number of batches, E(X) = 2.0 batches

Variance of batches, V(X) = 0.8 batches²

Expected number of pounds left, E(Y) = 90 lb

Variance of pounds left, V(Y) = 20 lb²

Step-by-step explanation:

The company has 100 batches and it sells to customers in 5 lb batches. The number of pounds left after each customer is filled will be modeled by the mathematical formula: Y = 100 - 5X

The expected value of X, E(X) can be calculated using the formula:

[tex]E(X) = \sum x p(x)[/tex]

E(X) = (1*0.3) + (2*0.5) + (3*0.1) + (4*0.1)

E(X) = 0.3 + 1 + 0.3 + 0.4

E(X) = 2.0

Expected number of batches, E(X) = 2.0 batches

The variance of X, V(X) can be calculated using the formula:

[tex]V(X) = E(X^2) - [E(X)]^2\\ E(X^2) = \sum x^2 p(x)\\ E(X^2) = (1^2 *0.3) + (2^2 * 0.5) + (3^2 * 0.1) + (4^2 * 0.1)\\ E(X^2) = 0.3 + 2 + 0.9 + 1.6\\ E(X^2) = 4.8\\V(X) = 4.8 - 2^2\\V(X) = 0.8[/tex]

Variance of batches, V(X) = 0.8 batches²

Y = 100 - 5X

E(Y) = E(100 - 5X)

E(Y) = 100 - 5E(X)

E(Y) = 100 - 5(2)

E(Y) = 90 lb

Expected number of pounds left, E(Y) = 90 lb

Variance of the number of pounds left:

V(Y) = V(100 - 5X)

V(Y) = V(100) + V(-5X)

V(100) = 0

V(Y) = (-5)² V(X)

V(Y) = 25 * 0.8

V(Y) = 20

Variance of pounds left, V(Y) = 20 lb²

The question is incomplete. Here is the complete question.

A chemical supply company currently has in stock 100 lb of a certain chemical, which it sells to customers in 5-lb batches. Let X 5 the number of batches ordered by a randomly chosen customer, and suppose that X has the following pmf.

 x      1         2        3       4

P(x)  0.3     0.5     0.1     0.1

Compute E(X) and V(X). Then compute the expected number of pounds left after the next customer’s order is shipped and the variance of the number of pounds left.

Answer: E(X) = 2

V(X) = 0.8

Expected number of pounds left = 90

Variance of the number of pounds left = 20

Step-by-step explanation: Since this is a probability distribution, to determine E(X), which is a measure of central tendency:

E(X) = ∑[x*P(x)]

E(X) = 1*0.3+2*0.5+3*0.1+4*0.1

E(X) = 2

V(X) is the variance for this type of distribution and is calculated as:

V(X) = ∑{[x - E(x)]²*P(x)} = (1-2)²*0.3+(2-2)²*0.5+(3-2)²*0.1+(4-2)²*0.1

V(X) = 0.8

The number of pounds left after the next costumer's order is shipped is given by the equation: Y = 100 - 5X

The expected number is equal to E(Y), which is this case is:

E(Y) = E(100 - 5X)

One property of E(X) is that if a and b are constants:

E(aX+b) = aE(X) + b

Taking that a = - 5 and b = 100:

E(100 - 5X) =  (-5).2 + 100

E(Y) = 90

The variance of the number of pounds left is given by:

V(Y) = V(100 - 5X)

For variance, the property is: if a and b are constants:

V(aX+b) = a²V(X)

V(100 - 5X) = (-5)²*0.8

V(Y) = 20

Simplify:
12 + (-38) + 27

Answers

Answer:

1

Step-by-step explanation:

For this problem, the negative sign on the 38 stays.  You can remove the parentheses and addition sign and subtract 38 from 12.

12 + (-38) + 27

12 - 38 + 27

-26 + 27

1

If the problem was (12 - (-38), than the negatives would cancel out and form (12 + 38).

Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

What is BODAMAS?

The full form of BODAMAS is" bracket, orders, divisions, multiplication, addition, subtraction. Any calculation follows the order of BODAMAS rule".

According to the question,

12 + (-38) + 27

= 12 - 38 + 27           [Removing the Parentheses]

= 26.

Hence, Using BODAMAS rule, the equation 12 + -(38) - 27 the simplified answer is 1.

Learn more about  BODAMAS here

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Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!

Answers

Answer:

A, C

Step-by-step explanation:

10x+ 4y = -2

5x -2y = 2

We can multiply the first equation by 1/2

5x+2y = -1

And then add the equations to eliminate y

5x+2y = -1

5x -2y = 2

--------------------

10x +0y = 1

Adding the equations will not eliminate any variables

15x +2y =0

Multiply the bottom equation by 2 and then subtract

10x -4y = 4

10x+ 4y = -2

-10x +4y = -4

------------------

0x +8y = -6  will eliminate x

Answer:

Answer A, C

Step-by-step explanation:

When multiplying the bottom equation by two, you get 10x-4y=4

After subtracting 10x-4y=4 and the top equation you will be able to eliminate the variable x.

You can also also get the same result and eliminate a variable with answer A.

What is the equation of the line of best fit that Frank drew?
A: Y = -3x + 12
B: Y = -3x + 16
C: Y = 1/3x +12 (/ means fraction)
D: Y = 1/3x + 16​

Answers

Answer:

The answer is actually not an option here. The answer is y=-1/3x+16

find the standard form of 23000000

Answers

Answer:

[tex] = 2.3 \times {10}^{7} \\ [/tex]

Step-by-step explanation:

[tex]23000000 \\ = 2.3 \times {10}^{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Sydney wants to use a 10-ft ladder to get to a window 8 feet above the ground. At what angle with the ground does the ladder need to be set?

Answers

Answer:

The angle is 53.13 degrees

Step-by-step explanation:

In this question, we are to calculate the angle to which a ladder is to be set to get to a window.

Now, looking at this, we can picture a triangle where the length of the ladder represents the the hypotenuse while the angle we are considering makes the height of the room from the floor.

Please check attachment for picture of triangle

Since we are considering the hypotenuse and the opposite, the mathematical term we would be using is the sine.

Sine of an angle = length of opposite/length of hypotenuse

Sine angle = 8/10

since angle = 8/10

angle = arc sin 0.8

angle = 53.13 degrees

Given that BD is both the median and altitude of ABC, congruence postulate
SAS is used to prove that ABC is what type of triangle?

Answers

Answer:

isosceles

Step-by-step explanation:

An isosceles triangle is one with two equal-length sides. The correct option is D.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Any triangle, whose median is also the altitude of the triangle is an isosceles triangle. Since it is given that BD is both the median and altitude of ΔABC. Therefore, the given ΔABC is an isosceles triangle.

Learn more about Isosceles Triangle:

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Alguien que tenga la caridad de explicarme como se hace esto o que me de la respuesta

Answers

Answer:

El angulo mide 150 grados.

Step-by-step explanation:

I have attached the work to your problem // Agregué una foto con tu trabajo.

Please see the attachment below // Mirala abajo.

I hope this helps! // Espero que te ayude mi foto. Saludos de Colombia.

whats is a thousode divided by 32

Answers

Answer:

31.25

Step-by-step explanation:

Answer:

31.25 is right.

Step-by-step explanation:

Holly and Tamar completed the work in the table to determine if a triangle with side lengths of 40, 42, and 58 is a right triangle. Holly’s Work Tamar’s Work (40 + 42) squared = 58 squared. 82 squared = 3,364. 6,724 not-equals 3,364. The triangle is not a right triangle. 42 squared + 40 squared = 58 squared. 1,764 + 1,600 = 3,364. 3,364 = 3,364. The triangle is a right triangle.
Which best describes the accuracy of their solutions?
A. Holly is correct.
B. Tamar is correct.
C. Neither Holly nor Tamar is correct.
D. Both Holly and Tamar are correct.

Answers

Answer:

B. Tamar is correct.

Step-by-step explanation:

A triangle can be proven as a right angle triangle if  it follows Pythagoras theorem. The pythagoras theorem can be use to know if a triangle is right angled triangle. Therefore, pythagoras theorem is expressed as

c² = a² + b²

where

c = hypotenuse sides

a and b can be any of the opposite or adjacent sides.

The hypotenuse side is the longest side so the triangle with length side of 40, 42 and 58 will have the hypotenuse as 58 . The other sides will be the opposite and adjacent sides

c² = a² + b²

58² = 40 ² + 42²

3364 = 1600 + 1764

3364 = 3364

Therefore, it obeys Pythagoras principle. Tamar's work is correct . The triangle is a right angled triangle.

Answer:

B

Step-by-step explanation:

What is the equation of the line that passes through (4, -1) and (-2, 3)?
2 x+3y- 5 = 0
-2 x+3y- 5 = 0
2x-3y-5=0

Answers

Answer:

Step-by-step explanation:

(3 + 1)/(-2 - 4) = 4/-6 = -2/3

y + 1 = -2/3(x -4)

y + 1 = -2/3x + 8/3

y + 3/3 = -2/3x + 8/3

y = -2/3x + 5/3

2x + 3y - 5 = 0 is the standard form

The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0

What is an equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, A line is passing through points (4, -1) and (-2, 3)

We know that, the equation of a line passing through two points is given by, (y-y₁) = (y₂-y₁)/(x₂-x₁)(x-x₁)

y+1 = (3+1)/(-2-4)(x-4)

y+1 = -2/3(x-4)

3y+3 = -2x+8

2x+3y-5 = 0

Hence, The required equation of the line that passes through (4, -1) and (-2, 3) is 2x+3y-5 = 0

For more references on equations, click;

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Which value in scientific notation is the best estimate for 0.0000058102?
A. 5 x 10-5
B. 6 x 10-5
C. 5 x 10-6
D. 6 x 10-6​

Answers

Answer:

D

Step-by-step explanation:

0.0000058102 can be rounded to 0.000006.

5 x 10^-5 = 0.00005

6 x 10^-5 = 0.00006

5 x 10^-6 = 0.000006

6 x 10^-6​ = 0.000006

The closest answer to the estimate is option D.

Answer:

ggttttttttttttt

Step-by-step explanation:

Which one of these shapes will tessellate?
Please leave the letter below

Answers

Answer:

Option D

Step-by-step explanation:

Out of all given options, Option D (the parallelogram) will tessellate the easiest.

Option B's shape (the Trapezoid) is also possible. However, it would take a little more work for it to tessellate. The trapezoid provided would not tessellate alone.

Option A and Option C's shape wouldn't tessellate because it would leave a gap.  To add, Option C's shape is nearly impossible to tessellate.

Answer: B, C, D

step by step explaniation

what is the measure of the missing angle?

Answers

Answer:

82 degrees

Step-by-step explanation:

sum of the angles of the triangle = 180 °

first angle is 41°

second one is : 180-123 = 57°

then the measure of the missing angle(x)  is : 57+41 +x = 180

x= 180-98 = 82°

If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay? In terms of simple interest.

Answers

Answer: $3.20

Step-by-step explanation:

SI = p *r * t

= 5.93 * 0.06 * 9

= 3.20

Answer:

$3.20

Step-by-step explanation:

Using Simple Interest = (principal) * (rate) * (time), we get:

= 5.93 * 0.06 * 9

= $3.20

Hope this helps!

definition of sas triangle

Answers

Answer:

SAS (side, angle, side)

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

PLEASE HELP ME WITH THIS

Answers

Answer: The correct answer is C

PLEASE HELP!! WORTH 30 POINTS!! WILL GIVE BRAINLIEST TOO!

Answers

Answer:

x = 15/11

Step-by-step explanation:

(segment piece) x (segment piece) =  (segment piece) x (segment piece)

(x+3) *x = 2x*(6x-6)

Divide each side by x

x+3 = 2(6x-6)

Distribute

x+3 = 12x-12

Subtract x from each side

x+3-x = 12x-x-12

3  = 11x-12

Add 12 to each side

3+12 = 11x-12+12

15 = 11x

Divide each side by 11

15/11 =x

Answer:

15/11

Step-by-step explanation:

(x + 3) *x = 2x * (6x - 6)

x^2 + 3x = 12x^2 - 12x

x^2 - 12x^2 = - 12x - 3x

- 11x^2 = - 15x

11 x * x = 15 * x

Like terms cancel out

11x = 15

= 15/11

Hope this helps!

help plz!!!!!!!!!!!!!!!!!!!!

Answers

2: V = 330 m^2

3: V = 144 m^2

Step-by-step explanation:

All the figures shown are rectangular prisms.

You can find the volume of a rectangular prism through this formula:

[tex]V = wlh[/tex], where w is the width, l is the length, and h is the height.

To find the volume of a composite figure, find the volume of each smaller figure, then add them together.

Question 2: 330 m^2

V = 3 * 5 * 6 (smaller prism)

V = 8 * 5 * 6 (larger prism)

smaller prism = 90 m^2

larger prism = 240 m^2

240 + 90 = 330 m^2

Question 3: 144 m^2

V = 3 * 4 * 2 (small prism 1)

V = 3 * 4 * 2 (small prism 2)

V = 12 * 4 * 2 (large prism)

small prisms: 24 m^2

large prism: 96 m^2

24 + 24 + 96 = 144 m^2

The density of oxygen is 0.001332 gram per cubic centimeter. Represent 0.001332 in
scientific notation.

Answers

Answer:

1.332 × 10-3

Step-by-step explanation:

you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)

help me please its due at 11

Answers

i think the answer might be 2948m^3

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