All categories

3 years ago

What is the prime factorizatiom of 110

Mathematics

2 answers:

Vedmedyk [2.9K]3 years ago

8 0

Hey there! The prime factorization of 110, is 2 × 5 × 11.

Korvikt [17]3 years ago

6 0

2 x 5 x 11 Is it I think. What do you think?

You might be interested in

How do you do this question?

Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

$\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}$

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

$V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\$

$\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)$

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0

3 years ago

Sam and Avery are making small and large birdhouses for an upcoming craft show. They will sell the small birdhouses for $10 and

kupik [55]

Answer:

<h2>They should make 8 small ones and 12 large ones.</h2><h2>$260 they will make in total.</h2>

Step-by-step explanation:

They want to make as much money as possible.

Small bird house gives them $10 and large birdhouse give them $15.

Avery has time to decorate 12 birdhouse of either size.

Hence, to maximize the earning, Avery should build 12 large ones.

Sam can make any of the combination below in 24 hours.

4 Large and 1 small bird house, which will make $4 \times 15 + 10 = 70$

3 Large and 3 small bird house, which will make $3 \times15 + 3 \times10 = 75$

2 Large and 4 small bird house, it will gain $2 \times15 + 4 \times10 = 70$

1 Large and 6 small bird house, it will make $1 \times15 + 6 \times10 = 75$

8 small bird house, which will gain $8\times10 = 80$

The profit will be maximize if Sam build 8 small bird houses.

Thus, they will make $80 + 12\times15 = 260$ .

5 0

3 years ago

The parks department has started building a new playground at Canyonside Park. The shape of the playground is shown below.

Alexandra [31]

Answer: $1,224

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

2.4,1.6,3.2,0.3,1.5 each new piece of data is doubled calculate the mean

jekas [21]

Given the numbers above and those numbers only the mean would be 1.8

6 0

3 years ago

Read 2 more answers

The instructions for a cough syrup are to give 2 teaspoons (tsp) every 8 hours. the cough syrup is supplied in 150-ml bottles. h

lbvjy [14]

2*3 = 6 teaspoons per day per child
6*5 = 30 teaspoons
30*3 = 90 teaspoons
You need 90 teaspoons

1 teaspoon = 4.9289 mL
90*4.9289 = 443.6010 mL
443.6010 / 150 = 2.9573 bottles

You need at least 3 bottles

3 0

3 years ago