0.10 1/8 which one is bigger

What is the focus of the parabola with equation y = x2?

hammer [34]

Answer:

$focus=(0,\frac{1}{4})$

Step-by-step explanation:

We are given equation of parabola as

$y=x^2$

we can also write as

$y=1(x-0)^2+0$

now, we can compare

$y=a(x-h)^2+k$

and find a , h , and k

a=1

h=0

k=0

now, we can use focus formula

$focus=(h,k+\frac{1}{4a})$

now, we can plug values

$focus=(0,0+\frac{1}{4\times 1})$

$focus=(0,\frac{1}{4})$

5 0

3 years ago

What is the value of a

liraira [26]

Answer:

b = 10

Step-by-step explanation:

In this question we have identified that b ( or short leg ) = 5 brainly.com/question/23589050

In the image provided in that question the, we are told that the hypotenuse = short leg times 2

If we have identified that the short leg = 5 then the hypotenuse = 5 * 2 which is equal to 10

6 0

2 years ago

Elizabeth has 1 7/10 as many plants as Rosalie has I her garden. If Elizabeth has 51 plants, how many plants does Rosalie have i

MrRa [10]

1 7/10 can be rewritten as 1.7

51 / 1.7 = 30 plants.

<span>Rosalie has 30 plants.

</span>

4 0

3 years ago

A chemist examines 15 geological samples for potassium chloride concentration. The mean potassium chloride concentration for the

NikAS [45]

Answer:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

Step-by-step explanation:

Data provided

$\bar X=0.376$ represent the sample mean for the chloride concentration

$\mu$ population mean (variable of interest)

s=0.0012 represent the sample standard deviation

n=15 represent the sample size

Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

Since we need to find the critical value first we need to begin finding the degreed of freedom

$df=n-1=15-1=14$

The Confidence is 0.95 or 95%, the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , and the critical value for this case with a t distribution with 14 degrees of freedom is $t_{\alpha/2}=2.145$

And the confidence interval is:

$0.376-2.145\frac{0.0012}{\sqrt{15}}=0.375$

$0.376+2.145\frac{0.0012}{\sqrt{15}}=0.377$

And we are 95% confident that the true mean of chloride concentration is between 0.375 and 0.377 cc/ cubic meter

7 0

3 years ago

A vitamin powder weighs 0.0002 pound.

hichkok12 [17]

Answer:

A. 6.2 X 10 ^-3

Step-by-step explanation:

First, you have to find the total weight by adding 0.0002 and 0.006 together, which gives you 0.0062. Then, follow basic setup of scientific notation by moving the decimal until one non-zero digit is to the left of the decimal, which brings the decimal to 6.2. Since you are moving the decimal right three places, the exponent is negative 3, making the notation 6.2 X 10 ^-3

6 0

3 years ago