435 is 15% of what number?

How many times larger is 9 x 10^9 than 3 x 10^-4?

andrezito [222]

The larger value is 9 x 10^9
The smaller value is 3 x 10^(-4)

Divide the larger over the smaller
Doing so will have you divide the coefficients 9 and 3 (numbers in front of the "times ten to the..." portions) to get 9/3 = 3.
Then you'll also subtract the exponents: 9 minus (-4) = 9 - (-4) = 9 + 4 = 13

In summary so far, we got a coefficient of 3 and an exponent of 13

So the final answer is 3 x 10^13 (assuming you want scientific notation)

If you want to convert to standard notation, instead of scientific notation, move the decimal point in 3.0 thirteen spots to the right to get

30,000,000,000,000

there are 13 zeros (four groups of 3 plus one just after the 3) in that value above. This is the number 30 trillion

8 0

3 years ago

Rate of change from the line

Ghella [55]

$\textbf{Answer:}$

$\frac{-1}{4}$

$\textbf{Step-by-step explanation:}$

$\frac{y2 - y1}{x2 - x1}$

$\textrm{Use the formula above to determine the rate of change}$

$\frac{1 - 2}{4 - 0} \rightarrow\frac{-1}{4}$

$\textrm{The rate of change of this line is }$ $\frac{-1}{4}$

6 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12)

Anika [276]

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.

going from (7, 2) to (2, 12) :

x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).

so, the slope is 10/-5 = -2

therefore, we have already

y = -2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)

2 = -2×7 + b = -14 + b

16 = b

so, the full line equation is

y = -2x + 16

4 0

3 years ago

Find the equation of the circle in standard form for the given center (h, k) and radius r: (h, k) = (0, 0), r = 4

Ad libitum [116K]

Answer:

$x^2+y^2=16$

Step-by-step explanation:

The equation of a circle with center (h,k) and radius r is given by the formula;

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

Given (h,k)=(0,0) and r=4, we substitute the values to obtain;

$(x-0)^2+(y-0)^2=4^2$

The required equation is

$x^2+y^2=16$

8 0

3 years ago

D= number of dollars

padilas [110]

Unit rate 4:

The table

d n

4 1

8 2

16 4

Unit rate 1/4:

Table

d n

1 4

4 16

16 64

and

The equation n=4d

Unit rate 16:

Equation:

d = 16n

Step-by-step explanation:

The unit in the unit rate is dollars per unit ounces which means that the unit rate calculated by

$Unit\ rate = \frac{dollars}{ounces}$

So,

The first option is the equation:

$d = 16n\\\frac{d}{n} = 16$

The unit rate is 16 dollars per ounce

The second option is the table:

d n

1 4

4 16

16 64

We can take any pair of values of d and n from the table to calculate the unit rate

So taking

d = 1

n=4

$Unit\ rate = \frac{d}{n}\\= \frac{1}{4}$

The unit rate for table is: 1/4 dollars per ounces

Third option is the equation:

n = 4d

$n = 4d$

dividing both sides by n

$\frac{n}{n} = \frac{4d}{n}\\1 = \frac{4d}{n}$

dividing both sides by 4

$\frac{1}{4} = \frac{4d}{4n}\\\frac{d}{n} = \frac{1}{4}$

the unit rate is 1/4 dollars per ounce

Fourth option is the table:

d n

4 1

8 2

16 4

We will take any pair of d and n to find the unit rate

So,

Taking

d = 4

n =1

$Unit\ rate = \frac{d}{n} \\= \frac{4}{1}\\=4$

The unit rate is 4 dollars per unit ounce.

Keywords: Unit rate, units

Learn more about unit rate at:

#LearnwithBrainly

7 0

2 years ago