What is the effect on the graph of the equation y=2x^2 when the equation is changed to y=-2x^2?

an entrepreneur buys some microscopes. Each one costs $700 and resells online for $959. What percentage is the mark-up?

tester [92]

Answer:

72.99%

Step-by-step explanation:

7 0

2 years ago

Mathematics in the london eye answers

san4es73 [151]

CENTRAL ANGLE:
There are 32 passenger cars, so you want an angle equal to 1/32 of the full circle.

The full circle in degrees is 360°, but you want radians. 
The full circle in radians is 2π. 
2π / 32 
= π/16 radians

ARC LENGTH 
The arc length would be 1/32 of the full circumference. I know you already asked and got answers for the full circumference. Divide that by 32.

AREA OF SECTOR: 
Ditto on this. You have the full area from a prior question. Now just divide it by 32

6 0

3 years ago

What is the recursive rule for the sequence 2, -1, 1/2 , -1/4

Helga [31]

Answer:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

Step-by-step explanation:

The recursive rule is a term defined in terms of other terms in the sequence.

The is a geometric sequence because it has a common ratio.

The common ratio can be found by dividing a term by previous term.

For example, all of these are equal:

$\frac{-1}{2}$

$\frac{\frac{1}{2}}{-1}$

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

They are all equal to $\frac{-1}{2}$ .

So we are saying:

$\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}$

More formally:

$\frac{a_n}{a_{n-1}}=\frac{-1}{2}$ .

Multiply both sides by $a_{n-1}$ :

$a_n=\frac{-1}{2}a_{n-1}$

When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).

So the first term is 2.

So the full thing for the answer is:

$a_n=\frac{-1}{2}a_{n-1}$

$a_1=2$

8 0

3 years ago

Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a s

Ierofanga [76]

Option B:

$I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}$

Solution:

Given sound level = 120 decibel

To find the intensity of a fire alarm:

$$\beta=10\log\left(\frac{I}{I_0} \right)$

where $I_0=1\times10^{-12}\ \text {watts}/ \text m^2}$

Step 1: First divide the decibel level by 10.

120 ÷ 10 = 12

Step 2: Use that value in the exponent of the ratio with base 10.

$10^{12}$

Step 3: Use that power of twelve to find the intensity in Watts per square meter.

$$10^{12}=\left(\frac{I}{I_0} \right)$

$$10^{12}=\left(\frac{I}{1\times10^{-12}\ \text {watts}/ \text m^2} \right)$

Now, do the cross multiplication,

$I=10^{12}\times1\times\ 10^{-12} \ \text {watts}/ \text m^2}$

$I=1\times\ 10^{12-12} \ \text {watts}/ \text m^2}$

$I=1\times\ 10^{0} \ \text {watts}/ \text m^2}$

$I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}$

Option B is the correct answer.

Hence $I=1.0\times\ 10^{0} \ \text {watts}/ \text m^2}$ .

5 0

3 years ago

After a 125% markup and a 10% discount, he the price of a watch is $30.78 before tax. What was the wholesale price?

pickupchik [31]

Fter a 125% markup and a 10% discount the price of a watch is 30.78 before tax what was the wholesale price - 2929721. ... If an item is $15.20 is increased by 125% (34.20) it would be about $34.20 before we subtract 10% (3.42)....we arrive at the end cost of $30.78. wholesale pricewould be 15.20.

4 0

3 years ago