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2 years ago

Is 0.83 a rational number.

Mathematics

1 answer:

katovenus [111]2 years ago

3 0

Yes! It’s the ratio of 83/100

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Venn diagram is shown below: What are the elements of (A ∩ B) ' ?

Marta_Voda [28]

Answer:

1 and 2 are the elements of (A B)

8 0

2 years ago

Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)

IrinaK [193]

Answer:

Equation of the circle (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

Step(i):-

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

Centre = $(\frac{-2+8}{2} ,\frac{1+9}{2} )$

Centre (h, k) = (3 , 5)

Step(ii):-

The distance of two end points

PQ = $\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }$

$PQ= \sqrt{(8+2 )^{2} +(8 )^{2} }$

PQ = √164 = 12.8

Diameter d = 2r

radius r = d/2

Radius r = 6.4

Final answer:-

Equation of the circle

(x-h)²+(y-k)² = r²

(x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x +y² -10y = 40.96-34

x² -6x +y² -10y -7= 0

4 0

3 years ago

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Goshia [24]

Answer:

$\sf 2^{(n+1)}$

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

$\sf \boxed{\bf t_n=ar^{(n-1)}}$

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

a = 4

r = 8 ÷4 = 2

$\sf t_n =4*2^{(n-1)}$

$\sf = 4*2^n * 2^{(-1)}\\\\ = 4*2^n*\dfrac{1}{2}\\\\ = 2*2^n$

$\sf = 2^{(n+1)}$

4 0

1 year ago

Russ' checking account charges an $11.25 monthly service fee and a $0.22 per-check fee. If Russ writes 14 checks per month, shou

masya89 [10]

Yes,because that is $3.03 higher than what he is receving right now so that will be an accelent option:)

3 0

3 years ago

Read 2 more answers

What is the value of x in 150-35x=45

Annette [7]

Your answer is x = 3 because if you take 150 and subtract it by both sides:
150 - 35x = 45
-150 -150

you have to cross out both 150 and -150, take 45 and subtract 150 which will give you -105.
-35x = -105

take -35 and divide by both sides. Cross out the two -35's. Take -105/-35 which your answer is x = 3. Hopes this helps. :)

~Shadow

7 0

3 years ago