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3 years ago

Simplify 10 to the 6 divided by 10 to the negative 3.

Mathematics

2 answers:

marusya05 [52]3 years ago

5 0

Answer:

$One\: Billion$

Step-by-step explanation:

According to the Quotient-to-Power Exponential Rule, whenever you divide similar bases, you keep the base and subtract the exponents:

$1000000000 = {10}^{9} = \frac{{10}^{6}}{{10}^{-3}}$

I am joyous to assist you anytime.

Ivahew [28]3 years ago

3 0

10^6/10^-3 = 10^6-(-3) = 10^6+3 =

10^9

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The symmetry of a hyperbola with a center at (h, k) only occurs at y = k. True or False

Vikki [24]

A hyperbola with a center at (0, 0) can be defined as x²/a² − y²/b² = ±1.
The statement "The symmetry of a hyperbola with a center at (h, k) only occurs at y = k" is false, because a hyperbola have many different orientations.
It doesn't have to be symmetric about the lines y = k or x = h.

6 0

3 years ago

Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

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3 years ago

What is the answer to this question?

Elina [12.6K]

Answer:

The answer is 65,-4

Step-by-step explanation:

x coordinates is 65 while the Y coordinates is -4

6 0

3 years ago

Read 2 more answers

In the equation 4x2-5x=21, what is the value of b? 4 -5 -21

Aliun [14]

4x^2-5x-21 is of the form ax^2+bx+c, a quadratic equation.

so b in this case is -5

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3 years ago

Karachi earns $5 for each umbrella that he

GaryK [48]

The equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is 5u + 3.5p = 190

Solution:

Given that Karachi earns $5 for each umbrella that he sells and $3.50 for each rain poncho that he sells

Thus we can say,

Amount earned from 1 umbrella = $ 5

Amount earned from 1 rain poncho = $ 3.50

To find: equation to represent the number of umbrellas (u) and ponchos (p) he sold last week.

Let "u" be the number of umbrellas sold

Let "p" be the number of ponchos sold

He earned $190 last week selling ponchos and umbrellas

Thus we can frame a equation as,

number of umbrellas sold x Amount earned from 1 umbrella + number of ponchos sold x Amount earned from 1 rain poncho = $ 190

$u \times 5 + p \times 3.50 = 190\\\\5u + 3.5p = 190$

Thus the equation to represent the number of umbrellas (u) and ponchos (p) he sold last week is found

3 0

4 years ago