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3 years ago

Find the 74th term of the arithmetic sequence -8, 0, 8

Mathematics

1 answer:

love history [14]3 years ago

6 0

Answer:576

Step-by-step explanation:

-8,0,8,...

Common difference=d=8-0

d=8

First term=a=-8

Using the formula

Tn=a + d x (n-1)

T74 = 74th term

T74=-8 + 8 x (74-1)

T74=-8 + 8 x 73

T74=-8 + 584

T74=576

The 74th term=576

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SOLVING QUADRATIC EQUATIONS<br> 2) Solve 2x2 - 5 = 27

Nimfa-mama [501]

Answer:

x = ±4

Step-by-step explanation:

Step 1: Write out quadratic

2x² - 5 = 27

Step 2: Add 5 to both sides

2x² = 32

Step 3: Divide both sides by 2

x² = 16

Step 4: Take the square root of both sides

x = ±4

∴ x can equal -4 or 4

7 0

3 years ago

The amount of time it takes Isabella to wait for the bus is continuous and uniformly distributed between 3 minutes and 17 minute

Arturiano [62]

Answer:

P(X>5) = 0.857

Step-by-step explanation:

Let X $\sim$ uniform(3.17)

$f(x) = \dfrac{1}{17-3} ; \ \ \ 3 \le x \le 17$

The required probability that it will take Isabella more than 5 minutes to wait for the bus can be computed as:

$P(X > 5) = \int ^{17}_{5} f(x) \ dx$

$P(X > 5) = \int ^{17}_{5} \dfrac{1}{17-3} \ dx$

$P(X > 5) =\dfrac{1}{14} \Big [x \Big ] ^{17}_{5}$

$P(X > 5) =\dfrac{1}{14} [17-5]$

$P(X > 5) =\dfrac{12}{14}$

P(X>5) = 0.857

6 0

3 years ago

11(n – 1) + 35 = 3n<br><br> n = –6<br> n = –3<br> n = 3<br> n = 6

vlada-n [284]

Answer:

n = -3

(second option listed)

Step-by-step explanation:

first, we will distribute the 11 (n-1)

11 (n - 1) + 35 = 3n

11n - 11 + 35 = 3n

Now, we will combine -11 and 35 (because they are like terms)

11n + 24 = 3n

Now, to isolate x as a positive, I will subtract 3n from both sides

11n + 24 = 3n

- 3n - 3n

8n + 24 = 0

Now, I will subtract 24 from both sides to isolate n

8n + 24 = 0

- 24 - 24

8n = -24

Now, we will divide both sides by 8 to find "n"

8n = -24

÷8 ÷8

n = -3

This means that n is equal to -3

(n = -3)

5 0

2 years ago

Read 2 more answers

What value of k will result in the quadratic having one rational solution if 4x2+kx+4=0?

PtichkaEL [24]

The value of 'k' in the quadratic Equation $4x^{2}+kx+4=0$ having one rational solution is k is 8.

<h3>What is a Quadratic Equation?</h3>

Quadratic equations are the polynomial equations of degree 2 in one variable of the type $f(x) = ax^{2} + bx + c = 0$ where a, b, c, ∈ R and a ≠ 0.
The standard form of a quadratic equation is $ax^{2} + bx + c = 0$ .

Here, the given equation is $4x^{2}+kx+4=0$

By comparing the given equation with the standard form of the quadratic equation we get,

a = 4

b = k

c = 4

The given quadratic is having one rational solution, which means $b^{2} -4ac=0$

Therefore,

$k^{2} -4 \times 4\times4=0\\k^{2} -64=0\\k^{2} =64\\k=\sqrt{64} \\k=8$

Therefore, the value of k is 8.

Learn more about the quadratic equation is brainly.com/question/8649555

#SPJ4

7 0

2 years ago

18 , 161/2, (50/2)1/2 Order the expressions from least to greatest. A) 161/2, 18 , (50/2)1/2 B) (50/2)1/2, 18 , 161/2 C) 161/2,

Anton [14]

Answer:

18,161/2,(50/2)1/2

18,161/2,(25)1/2

18,161/2,25×1/2

18/1,161/2,25/2

3 0

3 years ago