What is the answer to (2a^4/b^5)^3

FACTOR....<br>x^2 + 10× - 2400 = 0

Vikki [24]

Answer:

x= -5 + 5 $\sqrt{97}$ , x= -5 - 5 $\sqrt{97}$

Step-by-step explanation:

Since this quadratic is set to zero, we can use the quadratic formula to solve this.

x^2 + 10x - 2400 = 0

Quadractic formula = x= -b +- $\sqrt{b^2 - 4ac}$ /2a

For this equation:

a= 1, b=10, c=-2400

Plug these numbers into the equation and solve.

x= -10 +- $\sqrt{10^2 - 4(1)(-2400}$ )/2(1)

x= -10 +- $\sqrt{100 + 9,600}$ /2

x= -10 +- $\sqrt{9,700}$ /2

x= -10 +- $\sqrt{2^2 * 5^2 * 97}$ /2

x= -10 +- 5 * 2 $\sqrt{97}$ /2

x= -10 +- 10 $\sqrt{97}$ / 2

Divide by 2.

x= -5 +- 5 $\sqrt{97}$

Answer:

x= -5 + 5 $\sqrt{97}$ or x= -5 - 5 $\sqrt{97}$

5 0

3 years ago

16. Considering the "kindergarten-path effect," if your 4.5-year-old sister was asked to Put the bunny on the blanket on the she

sweet-ann [11.9K]

Answer:

if your 4.5-year-old sister was asked to Put the bunny on the blanket on the shelf, she may or may not if your 4.5-year-old sister was asked to Put the bunny on the blanket on the shelf. But,the chance is very likely less than 50%.

Step-by-step explanation:

If your 4.5-year-old sister was asked to Put the bunny on the blanket on the shelf, the chance that she might follow the instructions she receives is less 50 percent. In other words:

Chance < 50%

The reason is that children at this age may have challenging time figuring out the subject when you may instruct certain things to do, as the sentences could be tricky for the children to decode the meaning.

So, if your 4.5-year-old sister was asked to Put the bunny on the blanket on the shelf, she may or may not if your 4.5-year-old sister was asked to Put the bunny on the blanket on the shelf. But,the chance is very likely less than 50%.

4 0

3 years ago

Pls help ASAP I need help on this problem

kumpel [21]

So 1 and 1/2 divided by 1/8. That’s the same as 3/2 divided by 1/8.

Keep change flip.

3/2 x 8/1

24/2= 12

4 0

3 years ago

What is the volume of the figure?

Brut [27]

Do you have a better picture?

8 0

2 years ago

Based on information from Harper’s Index, 37% of adult Americans believe in Extraterrestrials. Out of a random sample of 100 adu

san4es73 [151]

Answer:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

Step-by-step explanation:

We have a prortion test.

P₀ = 37 % P₀ = 0,37

sample size = n = 100

P sample proportion = P = 47 % P = 0,47

confidence interval 95 %

α = 0,05

One tail-test (right tail) our case is to show if sample give enough information to determine if proportion of individual who attended college is higher than the proportion found by Harper´s index.

1.-Hypothesis:

H₀ null hypothesis P₀ = 0,37

Hₐ alternative hypothesis P₀ > 0,37

2.-Confidence interval 95 %

α = 0,05 and z(c) = 1.64

3.-Compute of z(s)

z(s) = [ P - P₀ ] /√(P₀Q₀/n) ]

z(s) = [ ( 0,47 - 0,37 ) / √0.37*0,63/100

z(s) = 0,1 /√0,2331/100 ⇒ z(s) = 0,1 /0,048

z(s) = 2.08

4.-Compare z(s) and z(c)

z(s) > z(c) 2.08 > 1.64

5.-Decision:

z(s) is in the rejection zone , therefore we reject H₀

We have enough evidence to claim the proportion of individuals who attended college and believe in extraterrestrials is bigger than 37%

5 0

3 years ago