8) Use the formula for the cardinal number of union of two sets
n(AUB) = n(A) + n(B) – n(An B)
n
to solve the problem.
Set A contains 10 elements, set B contains 5 elements and 3 elements are common
to sets A and B. How many elements in the union of these two sets?
18
09
12
15

Answer:

(a) m = -7

(b) m = 1/7

Step-by-step explanation:

Since parallel lines never overlap, the slopes (m) must be equal. Therefore, a parallel line to a line with a slope of (m = -7) must also have a slope of (m = -7).

Perpendicular lines run opposite of parallel lines. As a result, the sign of the perpendicular slope must be the opposite. Since this slope is negative, the perpendicular slope must be positive. The actual numerical value of a perpendicular slope is equal to one over the slope. Therefore, if a line has a slope of (m = -7), the perpendicular line's slope must be (m = 1/7).

N = number of seeds planted

P = probability of germination

K = number that germinated

Using probability calculation:
p(x = k) = (n k) x 0.90^K x 0.10^n-k

p(10) = (12 10) x 0.90^10 x 0.10^2

P(10) = 0.2310

The final statement is: The volume of box be is equal to 8 m³

Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

Given here: Volume of Box A= 64 m³

Let the dimensions of box  be a each

Then we have dimensions of box b are a/2 each

Therefore volume of box b is = a/2×a/2×a/2

                                                  =a³/8

                                                  = 64/8

                                                  =8

Hence, The volume of box be is equal to 8 m³

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Mean is average.

Add the speeds together and divide by number of cars:

67 + 74 + 85 + 80 + 74 + 82 = 462

462/6 = 77

Mean = 77 miles per hour

Answer:

Below,

Step-by-step explanation:

(a) f is not defined  when x = 2 because this would make the denominator =  zero.

(i)  f-1 is the inverse of f.

Let y = (x + 1)/(x - 2)

y(x - 2) = x + 1

xy - 2y = x + 1

xy - x = 2y + 1

x(y - 1) = 2y + 1

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

Replace x by f-1 and y by x , we get:

f-1 = (2x+ 1)(x - 1)

(ii)  f-1 is not defined when x = 1 , as this makes the denominator zero.

Answer:

168 = L + 2W

And you want to maximize LW.

Which means you want to maximize W (168 - 2W), or 168W - 2W^2.

To maximize that, the derivative must go to zero.

0 = 168 - 4W, or W = 42. And L = 84. Done. :-)

Step-by-step explanation:

Answer:g(x) = f(x) + 1.5

Step-by-step explanation:g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5g(x) = f(x) + 1.5

Answer:

4 3/4 liters

Step-by-step explanation:

2 1/2 + 2 1/4 = 4 3/4

We need volumes

#Chest A

V=LBH

#Chest B

V:-

Answer:

See below ~

Step-by-step explanation:

Chest A

Chest B

⇒ Chest B has more space than Chest A

⇒ Hope it helps ~

Step-by-step explanation:

Sum

(4-3i)+(-4+5i)

=4-4-3i+5i

=0+2i

=2i

Product

(4-3i)(-4+5i)

=4(-4)-3i(-4)+4(5i)-3i(5i)

=(-16)+7i+20i-15i²

-16+27i-15(-1) [i²=(-1)]

=27i-16+15

=27i-1

=(-1+27i)

I hope it helped you

Answer:

1:3

Step-by-step explanation:

You would ultimately reduce the ratio as a fraction.

3/9 reduces to 1/3

Answer:

There are no options, so I'll just give my help

Step-by-step explanation:

3:9 is the same as 1:3 or 6:18, there are unlimited

answers to this question.

1. Multiply or divide the numerator, 3

and the denominator, 9. They have to be multiply by the same number.

Ex: 3:9

3 times 4 is 12

9 times 4 is 36

12/36 is equal to 3:9. Check the answer choices to see

if they are multiplied or divided by the same number. If they are, it is correct. If it isn't, it's not equal.

Hope this helps.

-Angelo.

Answer:

Area (A)  0.0682

Step-by-step explanation:

The sketch for the region enclosed by the given curves can be found in the image attached below.

From the image below;

The two curves intersect in the area of tan 9x = 2 sin 9x

Recall that:

making x the subject; then:

The subdivision of the domain is in two intervals

where;

Area (A) =

Area (A) = 0.06818

Area (A)  0.0682

Answer:

Your answer is A.

Step-by-step explanation:

Looking at the graphing two-equation: y = x^3 -3 and y = x^2+6 are up there, it can help us determine the limit of domain.

The dot is the x<=2 for equation y=x^3-3.

The circle is x>2 for equation y=x^2+6

Answer:

Reptile, any member of the class Reptilia, the group of air-breathing vertebrates that only have:

Answer:

$60.00

Step-by-step explanation:

75%  OF  X  (original price) = $45

.75x = $45

divide both sides by .75 to isolate X

.75 / .75 = $45 / .75

X= $60

Answer:

the answer is in the picture

Answer: A

Step-by-step explanation:

Answer:

  5.  ∠TSR ≅ ∠TRS = 72°

  6.  ∠ORS ≅ ∠OSR = 18°

  7.  ∠ROS = 144°

Step-by-step explanation:

Segments OT and SR can be drawn to divide the figure into similar right triangles. In these triangles, all of the smaller acute angles are congruent, and all of the larger acute angles are congruent. The smaller and larger acute angles are complementary, as they are in any right triangle.

Segment OT bisects angle T, so the smaller acute angle in each right triangle is 36°/2 = 18°.

__

∠TSR ≅ ∠TRS = 90° -18° = 72°

__

∠ORS ≅ ∠OSR = 18°

__

∠ROS = 2×∠TOS = 2×72° = 144°

Note that this is supplementary to ∠T: ∠O = 180° -36° = 144°.

Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The number 6.12 has two digits after the decimal while the number 47.5 has only one digit after the decimal therefore, as per the law of significant figures, to deduct 6.12 from 47.5, we need to put one zero at the end of 47.5.

Also, there are two digits in 47.50 before the decimal while 6.12 has only one, therefore, As per the law of significant figures, one zero will be added before 6.12. Thus, the deduction now can be done as,

    4  7  .  5  0

-   0  6  .  1  2

   4   1  .  3  8

Hence, Using the rules of significant figures the expression 47.5-6.12 can be simplified as 41.38.

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Answer:

6854 do not have a tablet

2163 have a mobile computing device

Step-by-step explanation:

You just have to read it.

Answer:

820 kg·m/s

Step-by-step explanation:

P = mv ⇒ P = (4100×0.2) = 820

Answer:

Angle ADE is an obtuse angle.

Step-by-step explanation:

An obtuse angle is an angle that "opens" greater than 90 degrees. The question asks which angle is an obtuse angle, so basically you follow the order of letters and see which one is greater than 90 degrees (btw, 90 degrees, also known as a right angle, looks like the corner of a square, and anything greater than that is an obtuse angle).

Answer:

An obtuse angle is anything bigger than 90 degrees because 90 degrees is a right angle, therefore D. ADE would be the answer.

Answer:

We know that in a triangle, given two sides, the third one must be smaller than the sum of the given sides, but greater than their difference:

z < x + y

z > x - y

Therefore, the length of the third side will be between the difference and the sum of the other two sides. In our case:

x + y = 13

x - y = 3

Hence, the correct answer is: B) The side needs a fence that is longer than 3ft. and shorter than 13ft.

Step-by-step explanation:

The length of the route of a bicylist that has covered 5/7 of his route and an additional 40 miles and yet to cover 118 miles less than 0.75 of his route is 168 miles.

The bicyclist covered 5 / 7 of his route and an addditional 40 miles.

Let

x = distance of his route in miles

Hence,

distance covered = 5 / 7 x + 40

He has yet to cover 118 miles less than 0.75 of his route. Therefore,

distance not covered = 0.75x - 118

Distance of his route = 5 / 7 x + 40 + 0.75x - 118

x = 5 / 7 x + 40 + 0.75x - 118

x = 1.464x - 78

x -  1.464x = -78

-0.464x = -78

x = 78 / 0.464

x = 168.103448276

x = 168 miles

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D, sorry if wrong!!

have a good day

Answer:

D. 4u + 12

Step-by-step explanation:

Distributing the 4 to each term in the parenthesis:

4(u) + 4(3)

= 4u + 12

hope this helps :)

Using z-scores, it is found that all of the values fall within 2.46 standard deviations of the mean.

The z-score of a measure X of a variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean.

In this problem, the farthest variable from the mean is of $29.95, hence X = 29.95 and:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29.95 - 22.58}{3}[/tex]

Z = 2.46.

Hence, all of the values fall within 2.46 standard deviations of the mean.

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