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3 years ago

What is the value of a in the equation 5a-10b=45, when b=3?

Mathematics

2 answers:

Ainat [17]3 years ago

8 0

Answer:5a-30=45

Step-by-step explanation:

So something times 5 minus 30 will give you 45

marysya [2.9K]3 years ago

4 0

Your answer is 15 5a-30=45 you would then add 30 to 45 to get 75
5a=75 you then divide 75 by 5 and end up to get 15

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Write down the first 6 elements of the following sequence (where n ∈ Z+), then give a recursive definition for an. Do not forget

Sonbull [250]

Answer:

a. The first six terms are:

-7, -4, -1, 2, 5, 8

b. The first six terms are:

0, 2, 0, 2, 0, 2.

c. The first six terms are:

4, 8, 24, 96, 480, 2880

Step-by-step explanation:

a. an - 3n - 10

For n = 1

a1 = 3(1) - 10

= -7

For n = 2

a2 = 3(2) - 10

= -4

For n = 3

a3 = 3(3) - 10

= -1

For n = 4

a4 = 3(4) - 10

= 2

For n = 5

a5 = 3(5) - 10

= 5

For n = 6

a6 = 3(6) - 10

= 8

The first six terms are:

-7, -4, -1, 2, 5, 8

b. an= (1+(-1)^n)^n

For n = 1

a1 = (1+(-1)^1)^1

= 0

For n = 2

a2 = (1+(-1)^2)^1

= 2

For n = 3

a3 = (1+(-1)^3)^1

= 0

For n = 4

a4 = (1+(-1)^4)^1

= 2

For n = 5

a5 = (1+(-1)^5)^1

= 0

For n = 6

a6 = (1+(-1)^6)^1

= 2

The first six terms are:

0, 2, 0, 2, 0, 2.

c. an= 2n! (2)

For n = 1

a1 = 2(1!)(2)

= 4

For n = 2

a2 = 2(2!)(2)

= 8

For n = 3

a3 = 2(3!)(2)

= 24

For n = 4

a4 = 2(4!)(2)

= 96

For n = 5

a5 = 2(5!)(2)

= 480

For n = 6

a6 = 2(6!)(2)

= 2880

The first six terms are:

4, 8, 24, 96, 480, 2880

5 0

3 years ago

What is <br><img src="https://tex.z-dn.net/?f=6.73%20-%202%20%5Ctimes%205to%20%5C%3A%20the%20%5C%3Azero%20%5C%3A%20power%20%5Cdi

attashe74 [19]

$\bf 6.73-2\cdot 5^0\div 2\impliedby \mathbb{PEMDAS}
\\\\\\
6.73-\underline{2\cdot 1}\div 2\implies 6.73-\underline{2\div 2}\implies 6.73-1\implies 5.73$

5 0

3 years ago

The circumference of a circle is 25.12 yards. What is the radius of the circle?

ANEK [815]

The circumference is pi times diameter, so put 25.12 over pi to get the diameter. That would be 8. Then divide by 2 to get the radius. That would be 4

6 0

2 years ago

Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exac

Nataly_w [17]

Answer:

The equation that models the situation is $s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}$ .

Step-by-step explanation:

Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:

$v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})$ (1)