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4 years ago

B)simplify the expression 7x2 + 4x – 2 + 8x2 – 9x – 5

Mathematics

1 answer:

konstantin123 [22]4 years ago

4 0

Answer:

=25x-7

Step-by-step explanation:

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Nissan Appliances bought two dozen camcorders at a total cost of $3,816. The markup on the camcorders is 25% of the selling pric

Lerok [7]

So first you do 3,816 divided by 12 , because you need to find how much for 1 so then you can find out 25% off of 1. To check your work put down 318 times 12 to prove that you're right. Which would be 318 times 25 = 79.5. If you use a calculator it won't have the decimals ( if you just do the numbers ), but the rest is above.

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3 years ago

Read 2 more answers

Determine the exact and approximate circumference of the circle.

madam [21]

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

3 0

3 years ago

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose th

Vsevolod [243]

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

of sugar. Let $S(t)$ be the amount of sugar in the tank at time $t$ . Then $S(0)=25$ .

Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

$\left(1\frac{\rm gal}{\rm min}\right)\left(\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm gal}\right)=\dfrac{S(t)}{100}\dfrac{\rm lb}{\rm min}$

and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

$\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}$

Separate variables, integrate, and solve for S.

$\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt$

$\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt$

$-100\ln\left|P-\dfrac S{100}\right|=t+C$

$\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t$

$P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}$

$\dfrac S{100}=P-Ce^{-100t}$

$S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}$

Use the initial value to solve for C :

$S(0)=25\implies 25=100P-C\implies C=100P-25$

$\implies S(t)=100P-(100P-25)e^{-100t}$

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

$1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}$

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

of sugar, so we pick P such that

$S(995)=100P-(100P-25)e^{-99,500}=2.5\implies\boxed{P\approx0.025}$

5 0

3 years ago

Which inequality statement best represents the graph?

Akimi4 [234]

Answer:

Step-by-step explanation:

If you have choices, you really should list them.

Here is the graph for y = (x + 0.25)(x - 1.75) which will look like yours. There are all sorts of variations that are possible, but at least I could reproduce a similar looking graph.

6 0

3 years ago

I need Help please!!

PSYCHO15rus [73]

I think it’s A because the s is between P&Q and S&C if it’s wrong I’m sorry!

3 0

3 years ago