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3 years ago

A cylindrical water tank is being filled with a hose. The depth of the water increases by 114 feet per hour.

Mathematics

1 answer:

mojhsa [17]3 years ago

4 0

Time taken = depth / rate
Time taken = 312 / 114
Time taken = 2 14/19

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Find the value using identities (302)3

Arlecino [84]

Answer:

108,000,934

1.08934×10^8

Step-by-step explanation:

(302)^3

(a+b)^3

(a+b)^3==a^3+3a^2b+3ab^2+b^3

(300+2)

(300)^3+3(300^2+2)+3(300+2^2)+2^3

27,000,000+81,000,002+8+924

108,000,002+8+924

108,000,934 or 1.08934×10^8

8 0

2 years ago

A nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. Which walk is

MArishka [77]

Answer:

Evening walk is shorter.

Step-by-step explanation:

We have been given that a nature center offers 2 guided walks. The morning walk is two-third mile. The evening walk is three-sixths mile. We are asked to find the shorter walk.

Let us compare both fractions by making the same denominator.

$\text{Two-thirds}=\frac{2}{3}$

$\text{Two-thirds}=\frac{2\times2}{3\times2}$

$\text{Two-thirds}=\frac{4}{6}$

$\text{Three-sixth}=\frac{3}{6}$

Upon making common denominator, we can see that two-thirds are equal to four sixths.

Since three-sixths is less than four-sixths, therefore, evening walk is shorter.

We will draw two rectangles, one with 6 sub-parts and other with three sub-parts.

We will shade 2 parts out of 3 sub-parts to represent 2/3 and shade 3 parts out of 6 sub-parts to represent 3/6.

Then we will further divide three sub-parts into 6 sub-parts as shown in the diagram that will represent 4/6.

5 0

3 years ago

A newspaper wants to estimate the proportion of Americans who will vote for Candidate A. A random sample of 1000 voters is selec

masya89 [10]

Answer:

the excel that would be used to construct a confident interval estimate is (A) NORM.S.INV

Step-by-step explanation:

NORM>S>INV returns the of the standard normal cumulative distribution.

4 0

3 years ago

What is the solution to the equation?

AleksandrR [38]

Solution of the equation: $x=6\frac{1}{2}$

Step-by-step explanation:

The equation that we have to solve in this problem is:

$13\frac{3}{4}+x=7\frac{1}{4}$

The first step to do is to rewrite the mixed fractions as improper fractions. We have:

$13\frac{3}{4}=\frac{13\cdot 4+3}{4}=\frac{52+3}{4}=\frac{55}{4}$

And

$7\frac{1}{4}=\frac{7\cdot 4+1}{4}=\frac{29}{4}$

So the equation becomes

$\frac{29}{4}+x=\frac{55}{4}$

Now we multiply by 4 each term on both sides, and we get

$29+4x=55$

Now we subtract 29 from both sides,

$4x=55-29=26$

And finally, we divide both sides by 4:

$x=\frac{26}{4}=\frac{13}{2}=6\frac{1}{2}$

Learn more about equations:

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4 0

3 years ago

Read 2 more answers

OOOO

lbvjy [14]

Step-by-step explanation:

Given bi-quadratic equation is:

$x^4+95x^2 -500=0$

Substituting $x^2=a,$ given bi-quadratic equation reduces in the form of following quadratic equation:

$a^2 +95a -500=0\\$

Let us factorize the above quadratic equation:

$a^2 +95a -500=0\\\therefore\: a^2 +100a -5a-500=0\\\therefore\: a(a +100) -5(a+100)=0\\\therefore\: (a +100)(a -5)=0\\\therefore\: (a +100)=0\:\: or \:\: (a -5)=0\\\therefore\: a = - 100\:\: or \:\: a = 5\\\\CASE\: (1)\:\\When\: a = - 100 \implies x^2 = - 100\\\therefore x=\pm \sqrt{-100}\\$

Since square root of a negative number cannot be found, so:

$x \neq \pm \sqrt{-100}\\$

$CASE\: (2)\:\\When\: a =5 \implies x^2 =5\\\therefore x=\pm \sqrt{5}\\$

3 0

3 years ago