2. P = (2,3,5,7, 11, 13, 17)
Q = (11, 13, 15, 17, 19)
a) Draw a Venn diagram to illustrate the above
information.
b) Copy and complete the following statements:
i) PnQ= (...) ii) PUQ= {...}

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

Answer:

53.44 cubic meters

Step-by-step explanation:

A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)

Volume of a cylinder = π × r² × h

r = 0.9 meters

h = 2.1 meters

= π × (0.9m)² × 2.1m

= 53.44 cubic meters

Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters

Answer:

100/5=b

Step-by-step explanation:

do 100 divided by 5 then that will be your answer, b

Answer: 5 hours

Step-by-step explanation:

She has already read 50 pages so we need to deduct that to calculate the answer:

= 175 - 50

= 125 pages left

She can read at a speed of 25 pages per hour. The number of hours it would take to read the remainder of the book would therefore be:

= 125 pages / 25 pages per hour

= 5 hours

Answer:

5

Step-by-step explanation:

Answer:

3x+33+5x+13=70

8x+33+13=70

8x+46=70

8x=24

x=3

Let me know if this helps!

Answer:

Step-by-step explanation:

estimate, appraise, evaluate, value, rate, assess mean to judge something with respect to its worth or significance.

Answer:

1.8

Step-by-step explanation:

So [tex]log_{5}[/tex] 16 is [tex]log_{5}[/tex] 4(4) so [tex]log_{5} 4 + log_{5} 4[/tex] = .9+.9=1.8

Answer: who me?

Step-by-step explanation:

Oh sure thing. XD

Answer:

Step-by-step explanation:

tan49=h/17

h=17tan49

h=19.6 m

The height of the cliff is 19.6 m tall

A right angled triangle is a triangle (has three sides and three angles) in which one of the angles measure 90°.

Trigonometric ratios is used to show the relationship between the sides of the right angled triangle and its angles.

Let h represent the height of the cliff. Let θ = 90 - 49 = 41°. Hence:

tan(41) = 17/h

h = 17 / tan(41) = 19.6 m

Therefore the cliff is 19.6 m tall

Find out more at: https://brainly.com/question/3770177

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

Linear Equations & Functions -

Basically, this equation is meant for functions and graphing functions.

[tex]y = 18 \times \: x[/tex]

x,y

2,36

5,90

You could also use this to find the slope:

y1-y2

--------

x1-x2

:

-54

-----

-3

=18

You could also graph it.

Answer:

It’s A

Step-by-step explanation:

Did the quiz

A product is an answer to a multiplication problem and sum is the answer to an addition problem.

25 is the product, and -10 is the sum.

Factors of 25 is 5 and 5.

-5+-5=10.

But two negatives multiplied equals a positive.

-5 x -5=25

-5 + -5 = 10

---

hope it helps

Answer:

The two numbers are -5 and -5

Step-by-step explanation:

Let x and y be the two numbers respectively

xy = 25  --(1)

x + y = -10 --(2)

From (1), x = 25/y [You get x in terms of y]

Sub x = 25/y into (2)

25/y + y = -10  [Equation (2) is x + y = -10, but you got x = 25/y]

[Multiple the whole equation by y]

25 + y^2 = -10y

y^2 + 10y + 25 = 0 [This is a quadratic equation if you don't know]

y = -5

Sub y = -5 into (1)

x = -5

Step-by-step explanation:

4 cubic blocks would be required to find the volume of the glass case.

Answer:

4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

Answer:

i m insha i no the z=7and jehdbxh jsjzhwj

dj dad nen

Answer:

x = 7

Step-by-step explanation:

[tex](4x + 2) \degree = 360 \degree - (85 + 40 + 75 + 130) \degree \\ \\ (4x + 2) \degree = 360 \degree - 330 \degree \\ \\ (4x + 2) \degree = 30 \degree \\ \\ 4x + 2 = 30 \\ \\ 4x = 30 - 2 \\ \\ 4x = 28 \\ \\ x = \frac{28}{4} \\ \\ x = 7[/tex]

Answer:

10

Step-by-step explanation:

your answer is 10 I worked it out and it's correct

Step-by-step explanation:

it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2

Step-by-step explanation:

Take an equilateral triangle of side.

Bisec it through a vertex and the midpoint of the opposite side.

You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So

sin (30°) = 1/2/1= 1/2.

Answer: The right angled triangle you describe has angels of 45 degrees, not 30 degrees.

What you proved is sin 45 = 1\2 , which is correct.

Answer:

the first one should be (0,-5)

the second should be (-2,1)

Step-by-step explanation:

You substitute the given value of y into your equation. 6x-y=5

6x-(-6x-5)=5

x=0

y=-6 * 0-5

y=-5

(x,y)=(0,-5)

AND

7x-6(4x+9)=-20

x=-2

y=4x(-2)+9

y=1

(-2,1)

hope this helps!

Answer:

M-> R, O -> U, and P -> G

Step-by-step explanation:

Since the triangles are congruent (equal), do you see how it is a mirror image so M is mapped to R, O to U, and P to G, since those are the corresponding points

The total balance he will have in the accounts at the end of 2 years

is D. $870.88.

Simple interest is often a predetermined percentage of the principle amount borrowed or lent paid or received over a specific time period.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

The formula for simple interest is SI = (p×r×t)/100 and the formula for compound interest is A = P(1 + r/100)ⁿ.

∴ P + (p×r×t)/100 + P(1 + r/100)ⁿ is the total amount after 2 years.

= 450 + (450×4.5×2)/100 + 350(1 + 4.25/100)².

= 450 + 40.5 + 350(1.0425)².

= 490.5 + 380.38.

= $870.88.

learn more about compound interest here :

https://brainly.com/question/19090581

#SPJ2

Answer:

[tex]0 \: is \: the \: answer[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex] - 3 + 5 - 2[/tex]

2) Simplify -3 + 5 to 2.

[tex]2 - 2[/tex]

3) Simplify.

[tex]0[/tex]

Therefor the answer is 0.

Answer:

I think it's 8ft. Hope it helps.

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

Answer:

divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.

Step-by-step explanation:

divide 54 by 9, and you get 6. this is because for every 5 sam gets bethan will get 4. if you add, that, you will get the total amount for 1 share. since there are 6 shares, you multiply that by the amount of eros sam and bethan gets each share.