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2 years ago

Pls help with both of them will give brainliest and everything

Mathematics

1 answer:

Anit [1.1K]2 years ago

3 0

Volume of cylinder is π r^2h
So π (1.3)^2(4.83)
Why 1.3 but not 2.6 though? Because 2.6 is the diameter, to find the radius, divide the diameter by 2, so 1.3.
And so the volume of the cylinder is 29.74083in^3 or 29.74in^3 rounded to the nearest hundredth.
The volume for a triangular prism is
(bh/2)h, or (base•height/2)height.
So to find the base, take the length and width and times it.
3 1/2•1=3 1/2
The base is 3 1/2, or 3.5 inches. The height is given as 4 inches.
(3.5•4/2)4=28
The volume of the triangular prism is 28 in^3

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3 years ago

Let n be the smallest positive integer that is a multiple of 75 and has exactly 75 positive integral divisors, including itself

Juli2301 [7.4K]

Answer:

$n=2^4 3^4 5^2 =32400$ and then we have:

$\frac{n}{75}=\frac{2^4 3^4 5^2}{3 5^2}=432$

Step-by-step explanation:

From the info given by the problem we need an integer defined as the smallest positive integer that is a multiple of 75 and have 75 positive integral divisors, and we are assuming that 1 is one possible divisor.

Th first step is find the prime factorization for the number 75 and we see that

$75=3 5^2$

And we know that 3 =2+1 and 5=3+2 and if we replace we got:

$75 = (2+1)(4+1)^2 = (2+1)(4+1)(4+1)$

And in order to find 75 integral divisors we need to satisify this condition:

$n= a^{r_1 -1}_1 a^{r_2 -1}_2 *......$ such that $a_1 *a_2*....=75$

For this case we have two prime factors important 3 and 5. And if we want to minimize n we can use a prime factor like 2. The least common denominator between 2 and 4 is LCM(2,4) =4. So then the need to have the prime factors 2 and 3 elevated at 4 in order to satisfy the condition required, and since 5 is the highest value we need to put the same exponent.

And then the value for n would be given by:

$n=2^4 3^4 5^2 =32400$ and then we have:

$\frac{n}{75}=\frac{2^4 3^4 5^2}{3 5^2}=432$

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3 years ago

Select the table that represents the function f(x) = 3x + 5

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the function f(x) = 3x + 5 has a slope of 3 and a y-intercept of (0,5).

Table 1, reproduced below, shows that for every unit increase in x, y increases by 3, and that y=5 when x=0 (which is the y-intercept).

Table 1 is the correct answer.

.x y

-3 -4

-2 -1

-1 2

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3 years ago

a 6-pack carton of sport drink bottles at the local grocery store is labeled an 13.48 oz. what is the weight of the carton round

kupik [55]

Answer:

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3 years ago

The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the

Vitek1552 [10]

Answer: $4$ pairs

Step-by-step explanation:

Given

Profit on selling 'x' pairs of shoes is $P(x)=-4x^2+32x-39$

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Thus, for 4 pair of shoes profit is maximize.

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3 years ago

Pls help with both of them will give brainliest and everything​

Pls help with both of them will give brainliest and everything