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3 years ago

Write the equation of a line perpendicular to the

Mathematics

1 answer:

Gre4nikov [31]3 years ago

6 0

Answer:

y=(1/2)x +0

Step-by-step explanation:

The perpendicular slope formula is just the opposite reciprocal of the original slope.

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There is salt in a rectangular prism and now there's salt in a cube, they both contain the same volume so would the cube...

abruzzese [7]

C less material surface area

8 0

3 years ago

Read 2 more answers

The revenue equation (in hundreds of millions of dollars) for barley production in a certain country is approximated by R(x) = 0

STatiana [176]

Answer:

The marginal-revenue equation is $R'(x)=0.1226x+1.1584$ .

The marginal revenue for the production of 200,000,000 bushels is $R'(x)=1.4036$ .

The marginal revenue for the production of 650,000,000 bushels is $R'(x)=9.1274$ .

Step-by-step explanation:

The derivative $R'(x)$ of the revenue function is called the marginal revenue function and is the rate of change of revenue with respect to the number of units sold.

We know the revenue function, $R(x) = 0.0613x^{2} +1.1584x+2.4813$ . Therefore, the marginal revenue function is

$R'(x)=\frac{d}{dx}R(x) = \frac{d}{dx}(0.0613x^{2} +1.1584x+2.4813)\\\\=\frac{d}{dx}\left(0.0613x^2\right)+\frac{d}{dx}\left(1.1584x\right)+\frac{d}{dx}\left(2.4813\right)\\\\R'(x)=0.1226x+1.1584$

To find the marginal revenue for the production of:

200,000,000 bushels we use x = 2, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:2+1.1584\\\\R'(x)=0.2452+1.1584\\\\R'(x)=1.4036$

650,000,000 bushels we use x = 65, since x is in units of hundreds of million of dollars.

$R'(x)=0.1226\cdot \:65+1.1584\\\\R'(x)=7.969+1.1584\\\\R'(x)=9.1274$

3 0

3 years ago

Sheila is moving to a new house. She rents a truck with a storage body as shown below.

patriot [66]

Answer:

volume of the storage body is 576. multiply by 9. she can fit 64 boxes

Step-by-step explanation:

so draw a line at the short end of the body so it would be 6ft x 4 ft x 2ft = 48 ft. then the rest of the body becomes 11 ft (15 ft minus 4 ft) x 8ft x 6ft =528. so 48 + 528 = 576 then you divide 576 by 9 and get 64.

8 0

3 years ago

Read 2 more answers

Find the sale price to the nearest cent.<br><br> $4.30 makeup; 40% discount; 6% tax

katrin [286]

Answer:

Sale price is $2.58.

Paid with tax is $2.73

Step-by-step explanation:

If the make-up is originally $4.30 and you receive a 40% discount. This means you'll pay 60% of the price since 100-40=60.

To find this price, 60% as 0.6 is multplied with the price. 0.6*4.30 = $2.58

This is the sale price.

When you pay you will pay 6% tax or 0.06 of the price. Find this by multiplying $2.58 by 1.06.

2.58(1.06) = $2.73

7 0

3 years ago

Tracey paid $165 for an item that was originally priced at $570. What percent of the original price did Tracey pay? Round to the

kirza4 [7]

Answer:

Step-by-step explanation:

$\frac{165}{570}$ = 0.2894

multiply by 100 to turn into percentage

7 0

3 years ago