a) Let A x B = {(1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6)} then, find A, B, n(A), n(B)​

Answer:

Morgan is incorrect because 24 1/2- 22 3/4=1 3/4

Step-by-step explanation:

24 ¹/²- 22 ³/⁴=1 ³/⁴

Answer:

68 cups

Step-by-step explanation:

You must divide then multiply the reciprocal

Answer:

option A is the effect on the graph

Step-by-step explanation:

the area of a triangle is always

baseline × height / 2

where baseline and height are perpendicular (at a 90° angle) to each other.

so, in our case the area is

7 × 2 / 2 = 7 × 1 = 7 units²

Answer:

29/4

Step-by-step explanation:

7/1/4 = 7 1/4 = (4/4 x 7) + 1/4 = 28/4 + 1/4 = (28/4 + 1)4 = 29/4

The quick rule is:

Multiply the integer by the denominator: 7 x 4 = 28

Add the numerator to this product: 28 + 1 = 29

Put this result over the denominator: 29/4

The cardinal number of the given sets are:

As a general rule, the cardinal number of a set is the number of distinct elements in the set

Using the above definition the cardinal number of the given sets are:

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Answer:

Looking at the question, we are given two points and we need to determine the line that passes through both of these points.  The first step to solving this problem is to find the slope.

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]slope=\frac{8-2}{2-(-1)}[/tex]

[tex]slope=\frac{6}{2+1}[/tex]

[tex]slope=\frac{6}{3}[/tex]

[tex]slope=2[/tex]

Now that we found the slope, we can move onto the next part which is to use the point-slope formula to determine our correct straight line.

[tex](y-y_1)=m(x-x_1)[/tex]

[tex](y-2)=2(x-(-1))[/tex]

[tex]y-2=2(x+1)[/tex]

[tex]y-2=2x + 2[/tex]

[tex]y- 2 + 2=2x + 2 + 2[/tex]

[tex]y=2x + 4[/tex]

Therefore, our straight line that passes through the two points that were provided in the problem is [tex]y=2x + 4[/tex].

Hope this helps!  Let me know if you have any questions

The null hypothesis is that the observed difference is due to chance alone in a research.

Your information is incomplete. Therefore, an overview of a hypothesis will be given. A null hypothesis is a hypothesis that states that there is no relationship between two population parameters.

It should be noted that researchers reject or disprove the null hypothesis to set the stage for further experimentation or research that explains the position of interest.

The null hypothesis: H0 is the complement of the alternative hypothesis. Type I error is when we reject the null hypothesis when it is correct.

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Answer: 2,3

Step-by-step explanation: I think this is the right answer. Have a good day!! :)

Answer:

People with MERS may experience a fever, cough, or shortness of breath. They may also experience chess pain, fatigue, chills, loss of appetite, body aches, diarrhea, nausea, vomiting, congestion, sneezing, headaches, or a sore throat.

Step-by-step explanation:

Answer: [tex]x^3y^9[/tex]

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): Dot was discarded near "7.".

STEP 1:

Simplify [tex]\frac{y^2}{x}[/tex]

The equation at the end of step 1:

[tex]((x^4)*\frac{y^2}{x} )*y^7[/tex]

Multiplying exponential expressions:

2.1    [tex]y^2[/tex] multiplied by [tex]y^7[/tex] [tex]=y^(2+7)=y^9[/tex]

Final result is [tex]x^3y^9[/tex]

Answer:

x = -1/3 or 0

Step-by-step explanation:

Given equation:

We can factor 12x on the L.H.S since 12x is divisible by 36x² and 12x.

[tex]\implies 36x^{2} + 12x = 0[/tex]

[tex]\implies 12x(3x + 1) = 0[/tex]

This can lead to two solutions. I have listed them below!

Divide 12x on both sides to open the parentheses.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{12} = \dfrac{0}{12}[/tex]

[tex]\implies 3x + 1 = 0[/tex]

Isolate 3x on one side of the equation.

[tex]\implies 3x + 1 = 0[/tex]

[tex]\implies 3x = 0 - 1[/tex]

[tex]\implies 3x = -1[/tex]

Divide 3 both sides to determine the value of x.

[tex]\implies 3x = -1[/tex]

[tex]\implies \dfrac{3x}{3} = \dfrac{-1}{3}[/tex]

[tex]\implies \boxed{x = \dfrac{-1}{3}}[/tex]

Divide (3x + 1) on both sides to isolate 12x.

[tex]\implies 12x(3x + 1) = 0[/tex]

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

Note: zero divided by any non-zero number is 0.

[tex]\implies \dfrac{12x(3x + 1)}{(3x + 1)} = \dfrac{0}{(3x + 1)}[/tex]

[tex]\implies 12x = 0[/tex]

Divide 12 both sides to determine the value of x.

[tex]\implies 12x = 0[/tex]

[tex]\implies \dfrac{12x}{12} = \dfrac{0}{12}[/tex]

[tex]\implies \boxed{x = 0}[/tex]

Therefore, the solutions for x are -1/3 or 0.

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Answer:

x = 0  or  x = -1/3

Step-by-step explanation:

In the equation 36x²+12x=0 we have :

36x² = 6x × (6x)

12x = 2 × (6x)

This means that 6x is a common factor,so let’s factor :

36x²+12x=0

⇔ 6x × (6x) + 2 × (6x) = 0

⇔ 6x × (6x + 2) = 0

⇔ 6x = 0  or  6x + 2 = 0

⇔ x = 0  or  x = -2/6

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

Answer:

A right triangle has one angle of 90

Step-by-step explanation:

Step-by-step explanation:

It has only one angle of 90°

Answer:

A fruit seller buys some oranges and by selling 40% of them he realizes the cost price of all the oranges. As the oranges being to grow over-ripe, he reduces the price and sells 80% of the remaining oranges at half the previous rate of profit.

Step-by-step explanation:

The sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

It is defined as an error that provides an estimate of the percentage of errors in real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]

Where   Z is the z-score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We know:

[tex]\rm MOE = Z \times \sqrt{\dfrac{pq}{n}}[/tex]

We have MOE = 0.05, p = 46% = 0.46,

q = 1-p = 1-0.46 = 0.54

Z at 0.02(because 98% level of confidence) = 2.33

Plug this value in the formula we get:

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.46\times0.54}{n}}[/tex]

After solving:

n = 539.41 ≈ 540

If no estimate is given:

p = 0.5 and q = 0.5

[tex]\rm 0.05 = 2.33 \times \sqrt{\dfrac{0.5\times0.5}{n}}[/tex]

n = 542.89 ≈ 543

Thus, the sample size for part (a) is 540, and the sample size for part (b) is 543 if the margin of error to be 0.05.

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Answer:

20.11 °

Step-by-step explanation:

31.1 ° + 35.8 ° + 90m + 44.2 ° = 20.11 °

Answer:

B.

Step-by-step explanation:

it represents the hours the truck was driven before running out of fuel because the further the line goes the less fuel it has until it reaches the x-axis meaning there's no more fuel

Answer:

Step-by-step explanation:

Answer:

38400/=

Step-by-step explanation:

8(p-1500)=8p-12000

2(p+1000)= 2p+2000

8p-12000+2p+2000=53000

10p-10000=53000

10p=53000+10000

10p=63000

p=6300/=

8 books=8(6300-1500)

=38400/=

Answer:

a = 3.8540

Step-by-step explanation:

3ª = 69

ln 3ª = ln69

a * 1n3/1n3 = ln69/ln3

a = 3.8540

please mark brainliest if i got it correct. if i didn't sorry :(

Answer:

4 × 10^-1

Step-by-step explanation:

ask if you need further explanation

The value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of the equation:

3y=x-2 ..(1)

y=-2x+4  ...(2)

From the equation (2) take the value of y and plug in the equation (1)

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

-6x + 12 = x - 2

7x = 14

x = 14/7

x = 2

Plug this value in the equation (2)

y = -2(2) + 4

y = 0

Thus, the value of the x is 2 and the value of the y is 0 in the system of equation 3y=x-2, y=-2x+4.

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Answer:

angle A: 33.005

Angle B: 35.04

Angel C: 111.955

Step-by-step explanation:

look at attached image for more info

Hope it helps! Have a wonderful day

Answer:

12ft

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Step-by-step explanation:

by using the formula of principal

p= I×100/T×R

Answer:

90

Step-by-step explanation:

PRT/100

75×30×2/100

9000/100

=90

Answer:

(x-2)^2-2

Step-by-step explanation:

x^2-4x+2

take the x out

x(x-4) + 2

(x-2)^2-2

because (x-2)^2 is

x^2-4x+4

its like completing the square

Answer:

(x-2)² -2

Step-by-step explanation:

Consider that (a+b)² = a²+2ab+b²

To find the form (x-A)²+B compare  x²-4x+2 with a²+2ab+b²

x² - 4x +2

a² + 2 a b+ b², so a= x and b = (-2)

x²+ 2· x ·(-2)+ (-2)² -  2  = (x-2)² -2 is in the form (x-A)²+B

Check our answer:

(x-2)² -2= (x²-2·2x+4)-2 = x²-4x +2 ✅

Answer:

Denice would have used 2.25 (or 2 1/4) yards of fabric for each bag.

Step-by-step explanation:

First, you have the 9 bags you are making and they all must be the same because they are identical, so you divide the nine bags by the four yards and I got an answer of 2.25 yards per bag. The answer can also be 2 1/4 as well.

Answer:

B

Step-by-step explanation:

add 8 to both sides and multiply both y and 8 by 4 to get 4y and 32

Answer:

68

Explanation:

Sets of equations:

1) a + b = 10

2) a - b = 6

Make 'a' the subject:

1) a = 10 - b --- equation 1

2) a = 6 + b --- equation 2

Solve them by substituting:

⇒ 10 - b = 6 + b

⇒ -b - b = 6 - 10

⇒ -2b = -4

⇒ b = 2

Find value of 'a', a = 10 - b, a = 10 - 2 = 8

Then find (a²+b²), by inserting a = 8, b = 2,

⇒ ((8)²+(2)²) = 64 + 4 = 68

Step-by-step explanation:

given,

a+b=10.............( eqn 1)

a-b=6................(eqn 2)

adding eqn1 and eqn2

a+b=10

a-b=6

______

2a=16

a=16/2

a=8

putting the value of a in eqn 1

a+b=10

8+b=10

b=10-8

b=2

now,

(a²+b²)= 64+4=68