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3 years ago

How to solve this problem. I don’t know how to do this and need help desperately

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

There are 4 possibilities for cone or cup to hold your ice cream. There are 3 different sizes to choose from. There are 20 flavors of ace-cream, and then 15 choices of topping. Assuming you must choose 1 flavor of ice cream and 1 topping as the question implies, there are then 4*3*20*15 = 3600 different combinations to choose from. Answer is D: 3600

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Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x

BaLLatris [955]

Answer:

The area of the region is 25,351 $units^2$ .

Step-by-step explanation:

The Fundamental Theorem of Calculus: if $f$ is a continuous function on $[a,b]$ , then

$\int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) | {_a^b}$

where $F$ is an antiderivative of $f$ .

A function $F$ is an antiderivative of the function $f$ if

$F^{'}(x)=f(x)$

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function $x^5 + 8x^4 + 2x^2 + 5x + 15$ and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

$\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx$

$\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2$

3 0

2 years ago

What is the scale factor

insens350 [35]

Answer:

24/18 = 4/3

Step-by-step explanation:

There are 2 possibilities. It's up to what is the exact statement abount the figure.

24/18 = 4/3 or 3/4

5 0

3 years ago

Read 2 more answers

Plz help and give explaination of how to do it

professor190 [17]

Answer:

25% decreased by 60% is 10

Step-by-step explanation:

New value =

25 - Percentage decrease =

25 - (60% × 25) =

25 - 60% × 25 =

(1 - 60%) × 25 =

(100% - 60%) × 25 =

40% × 25 =

40 ÷ 100 × 25 =

40 × 25 ÷ 100 =

1,000 ÷ 100 = 10

hope this helps :)

7 0

2 years ago

Please answer quickly!

blsea [12.9K]

Your answer is D. This is because a number multiplied by itself is x².

3 0

2 years ago

In a candy factory, the nutty chocolate bars contain 19.0 % pecans by mass. if 5.0 kg of pecans were used for candy last tuesday

Leokris [45]

$(5 \div 19) \times 100 = 26.32$

5 0

2 years ago