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SSSSS [86.1K]
3 years ago
13

If g(x) is a function that represents the cost if x packs of pens, write an equation which shows that 8 packs of pens costs $30

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0
G(8)=30 is the equation you are looking for. 
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Find the total mass of the triangular region shown below. All lengths are in cm, and the density of the region is sigma(x) = 1 +
anastassius [24]

Answer:

3 grams

Step-by-step explanation:

We are going to take the mass of a bunch of little strips below the triangle "roof." To do this, we must figure out what formula for the mass we'll use, in this case, we'll use:

Mass of strip = denisty * area = (1+x)*y*deltax grams

now, because the "roof" of the triangle contains two different integrals (it completely changes direction), we will use TWO integrals!

**pretend ∈ is the sum symbol

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral -1 to 0 of (1+x)*3*(x+1) = 3 * integral -1 to 0 of (x^2 + 2x + 1) = 3 *  1/3 = 1

Mass of left part = lim x->0 ∈ (1+x)*y*deltax = inegral 0 to 1 of (1+x)*3*(-x+1) = 3 * integral 0 to 1 of (-x^2 + 1) = 3 * 2/3 = 2

Total mass = mass left + mass right = 1 + 2 = 3 grams

8 0
3 years ago
What is the value of x?
Blizzard [7]

check the picture below.

so, when we have a line from a 90° angle running perpendicular to the opposite side, like in this case, we end up with three similar triangles, a large one containing the other two, a medium and a small one.

now, using the sides proportions as you see there, of the small and large one, we get that much.

3 0
3 years ago
An enterprise rents out paddle boats for all-day use on a lake. The owner knows that he can rent out all 40 of his paddleboats i
PSYCHO15rus [73]

Answer:

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

Step-by-step explanation:

The owner has a total of 40 paddle boats and he can rent out all of them if he charges $3 per paddle boat. For each extra dollar, the number of paddle boats will decrease by 2. So, if he charges $6 (3 extra dollars) for each rental he can rent out:

40 - (3 x 2)

= 40 - 6

= 34 paddle boats.

The total revenue can be calculated by multiplying the number of paddle boats rented by the rent price per paddle boat.

Total Revenue = 34 x 6

                        = $204

<u>The owner's total revenue would be</u><u> $204</u><u> if he charged $6 for each paddle boat rental.</u>

4 0
3 years ago
Read 2 more answers
Look at problem 4. Will three soccer balls weigh more than 1 kilogram Explain
alex41 [277]

Answer:Yes

Step-by-step explanation:

So thats say each soccer ball weigh 450 grams and a kilogram is 1000 grams so we will do 450 times 3 which is 1350 and 1350 is more than 1000 grams which more than a killogram so the answer is yes and its by 350 more.

8 0
2 years ago
Explain how you got your answer please :
liraira [26]
X is the number of hours studied, so replace x with 3 in the equation:

y = 6.8(3) + 60
y = 20.4 + 60
y = 80.4

Round down to 80.

The answer would be A.
3 0
3 years ago
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