16m² -n²

What is it factor

2.05

750 + 6% = 7.95

10.00 - 7.95 = 2.05 :)

The coordinates of triangle ABC are

A(2,2) B(3, -2) and C(-1, 3)

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x).

The coordinates A(2, 2) become A'(2, -2)

The coordinates B(3, -2) become B'(-2, -3)

The coordinates C(-1, 3) become C'(3, 1)

The triangle A'B'C' is the rotation of the triangle ABC after a 270 degree counterclockwise rotation.

.......

Given what we know, we can say that it is possible for 9 out of 10 students to score above average, but it is not possible for all 10 to score above average.

In order to calculate the average score of the students, we must use addition.

We have to add all of the scores, in this case, 10 scores, and then divide by the number of scores.

One example of 9 out of 10 students scoring above average would be:

\(1 + 9 +9+9+9+9+9+9+9+9 = 82\)

\(82/10 scores = 8.2\)

This would leave us with an average score of 8.2 and 9 out of 10 students that have scored higher.

Given the way in which we calculate average scores, it is impossible for all 10 students to score above average since even if all 10 students get a perfect score, that would then become the average.

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Answer:

4.6 and 10.3

Step-by-step explanation:

Answer:

{-3, 2}U{2, 5}

Step-by-step explanation:

For an equation to be negative, it would need to be in a negative range (below the x-axis or the coordinates are negative y-values). Therefore, we can examine this question and see that the graph is negative when the function crosses the x-axis at -3 and it remains negative until you reach 2 on the x-axis.

Therefore, the first set of negative values is (-3, 2).

Secondly, applying the same logic as before, the function decreases at 2 and then touches the x-axis again at 5. Therefore, the second negative value would be (2, 5).

The negative values are {-3, 2}U{2, 5}.

Answer:

{-3, 2}U{2, 5}

Step-by-step explanation:

f EB = 6.2, CD = 3.3, and ED= 6.2, then the value of B is 6.6.

An isosceles triangle is a type of triangle with two sides of equal  length. Two opposite angles of an isosceles triangle with equal sides are equal in size. In geometry, a triangle is a three-sided polygon that is classified into three categories based on its sides, for example:

Properties of an isosceles triangle

Therefore,

EB = 6.2

ED = 6.2

So EB=ED

ΔEBD is  isosceles triangle and ∠BCE is right angle

so C is middle point of BD

Hence, BD = 2CD

                  = 2X 3.3

                  = 6.6

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Answer:

Step-by-step explanation:

60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours

Answer:

The number is 11

Step-by-step explanation:

First turn this into a mathematical equation

8+3x=41

subtract 8 from both sides

3x=33

divide both sides by 3

x=11

Answer:

D = -j = -h/-k

Step-by-step explanation:

Answer:

I'm not sure what you're trying to find, so I went ahead and wrote you a proof.

Step-by-step explanation:

BA ≅ BC  - Given

AD ≅ DC  - Definition of a midpoint

∠ABD ≅ ∠CBD   - Given

BD ≅ DB   - Reflexive property of ≅

∠DAB ≅ ∠DCB   -  ASA

y = 6

x = 40

Answer:

Volume of the given oblique cylinder = 36π units³

Step-by-step explanation:

Volume of the oblique cylinder = πr²h

Here, 'r' = Radius of the circular base

'h' = Height of the cylinder

For the given oblique cylinder,

Radius of the circular base = 3 units

Height of the cylinder = 4 units

Volume of the cylinder = π(3)²(4)

                                      = 36π units³

Therefore, volume of the given oblique cylinder = 36π units³

Answer:

b2 = 1

Step-by-step explanation:

A = h(b1 + b2)

Given:

A = 16

h = 4

b1 = 3

b2 = x

Work:

A = h(b1 + b2)

16 = 4(3 + x)

16 = 12 + 4x

4x = 16 - 12

4x = 4

x = 1

Answer:

A. \(\frac{4}{10}\)

B. \(\frac{3}{4}\)

Step-by-step explanation:

Given - Box A contains 3 red and 2 blue marbles while Box B contains 2

            red and 8 blue marbles. A fair coin is tossed. If the coin turns up

            heads, a marble is chosen from Box A; if it turns up tails, a marble

            is chosen from Box B.

To find -  A. Find the probability that a red marble is chosen.

              B. Referring to above information, suppose that the person who

                  tosses the coin does not reveal whether it has turned up

                  heads or tails (so that the box from which a marble was

                  chosen is not revealed) but does reveal that a red marble was

                  chosen. What is the probability that Box A was chosen (i.e.,

                  the coin turned up heads)?

Proof -

As given ,

Box A : 3 red marbles and 2 blue marbles.

Box B : 2 red marbles and 8 blue marbles.

a.)

As we have to find the probability that a red marble is chosen.

A red marble is chosen in two different ways - either it can be from Box A or Box be .

If Box A is chosen , then Probability of red ball is \(\frac{3}{5}\)

If Box B is chosen , Then Probability of Red ball is \(\frac{2}{10} = \frac{1}{5}\)

Now,

Probability of Box A is Chosen = \(\frac{1}{2}\)

Probability of Box B is chosen = \(\frac{1}{2}\)

∴ we get

Probability that a Red marble is chosen =  \(\frac{1}{2}\)×\(\frac{3}{5}\) + \(\frac{1}{2}\)×\(\frac{1}{5}\) = \(\frac{3}{10} + \frac{1}{10} = \frac{4}{10}\) = 0.4

b.)

Now,

Probability that Box A is chosen given that Red marble is chosen is

P(Box A | Red marble ) = \(\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}\) = \(\frac{3}{4}\)

Answer:

Step-by-step explanation:

\(P = \frac{x}{n}\)

Cross Multiply

\(P\times n = x\\\\Pn = x\\\\x =Pn\)

Answer:

Step-by-step explanation:

Answer:

it that going to come on cxc

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

Step-by-step explanation:

20,24,25,27,31,35,38

minimum;20

medium: 27

maximum: 38

lower quartile: 24

upper quartile:35

put numbers in number order

the first number is the minimum, the last number is the maximum. the middle number "split" is the median.

quartiles are the numbers in the middle of the data you just "split"

(so like a quarter)

i may be wrong i haven't done this in years

Answer:

To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.

To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.

Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.

We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

182 – (4 + 92)

I have big brain

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

y = -5/4x -4

Step-by-step explanation:

slope(m)= -5/4

x1=-4,y1=1

using the formula for one point form

y-y1=m(x-x1)

y-1= -5/4(x-(-4))

y-1 = -5/4x + -5/4 × +4

y - 1 = -5/4x -5

y=-5/4x -5 + 1

y = -5/4x -4.

Don't forget to smash the answer as brainliest if I truly deserve it

Thanks

Answer:

your answer will be -1.2

Step-by-step explanation:

hope it helps you

have a great day

Answer:

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

Step-by-step explanation:

Let's assume that the length of one side of the square base of the box is "x". Then the height of the box is also "x" to maximize the volume.

The surface area of the box (excluding the top) is given by:

2(x^2) + 4(x^2) = 6(x^2)

The surface area of the metal top is:

x^2

The total surface area of the box is the sum of the surface area of the box and the surface area of the metal top:

6(x^2) + x^2 = 7(x^2)

The cost of the wood for the box is:

5 cents per square inch * 6(x^2) = 30x^2 cents

The cost of the metal for the top is:

12 cents per square inch * x^2 = 12x^2 cents

The total cost of the box is:

30x^2 + 12x^2 = 42x^2 cents

We want to find the maximum volume of the box that can be made with $30, which is 3000 cents. Therefore, we can set up the equation:

42x^2 = 3000

Solving for x, we get:

x^2 = 71.429

x ≈ 8.445

Therefore, the maximum volume of the box is:

V = x^2 * x = (8.445)^3 ≈ 606.526 cubic inches.

So Alina can make a box with dimensions 8.445 inches by 8.445 inches by 8.445 inches (with a metal top) that will hold approximately 606.526 cubic inches.

i) The statement P(A Ո B) = P(A) Ո P(B) is false.

ii) The statement P(A Ս B) = P(A) U P(B) is false.

iii) The statement P(A) U P(B) ⊆ P(A U B) is true.

Sets are groups of well-defined objects or components in mathematics. A set is denoted by a capital letter, and the cardinal number of a set is enclosed in a curly bracket to indicate how many members there are in a finite set. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}.

i) Let A ={0,1} and  B ={1,2}

Thus, A Ո B = {1}

P(A Ո B) = {∅, {0}, {1}, {2}, {0,1} , {1,2}, {0,2}}

P(A) = {∅, {0}, {1}, {0,1}}

P(B) =  {∅, {1}, {2},{1,2}}

P(A) Ո P(B) =  {∅, {1}}

∴ P(A Ո B) ≠ P(A) Ո P(B)

So, the given statement is false.

ii) Let A ={0,1} and  B ={1,2}

Thus, A Ս B = {0,1,2}

P(A Ս B) = {∅, {0}, {1}, {2}, {0,1} , {1,2}, {0,2}, {0,1,2}}

P(A) = {∅, {0}, {1}, {0,1}}

P(B) =  {∅, {1}, {2},{1,2}}

P(A) U P(B) =  {∅, {0}, {1}, {2}, {0,1} , {1,2}}

∴ P(A Ս B) ≠ P(A) U P(B)

So, the given statement is false.

iii)

If X⊆Y then P(X)⊆P(Y)                          (1)

If X⊆Z and Y⊆Z then X∪Y⊆Z.            (2)

Necessarily A⊆A∪B,

P(A)⊆P(A∪B);                           (a)

similarly, B⊆A∪B,

P(B)⊆P(A∪B).                           (b)

From (a) and (b), using (2), we conclude:

P(A) ∪ P(B) ⊆ P(A ∪ B).

So, the given statement is true.

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Answer:

c+4

Step-by-step explanation:

Simplification of the expression c+c+7+5c-3-6c is c+4.

In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.

Given, the expression

c+c+7+5c-3-6c

Simplifying,

c+c+7+5c-3-6c

= 7c-6c + 7-3

= c+4

Therefore, after the simplification expression is c+4.

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Answer:

Slope = 6

Y intercept = 0

Step-by-step explanation:

Given equation is: y = 6x

Equating it with y = mx + b

We find:

Slope m = 6

Y intercept b = 0

\(10\) divisions between $389$ and $390$ so each division is $\frac{390-389}{10}=0.1$

A is 8 division from $389$, so, A is $389+8\times 0.1=389.8$

similarly, C is one division behind $389$ so it is $389-1\times 0.1=388.9$

and B is $390.3$

Answer:

37.5 is the answer to the problem

Step-by-step explanation:

\(6(17x) = 102\)