Ask question

Ask question

All categories

anastassius [24]

3 years ago

10

Hank has just purchased a small rectangular fish tank that holds 620.1 milliliters of water. The tank has a width of 5.3 cm and

a height of 9 cm.
What is the length of the fish tank?
(1 milliliter is equal to 1 cubic centimeter)
A. 13 cm
B. 10 cm
C. 15 cm
D. 14 cm

1 answer:

seropon [69]3 years ago

4 0

Answer:

A. 13 cm po siguro

Step-by-step explanation:

sorry nalang po kong mali sagot ko

You might be interested in

Find the inverse function of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%209%20%2B%20%20%5Csqrt%7B4x%20-%204%7D%20" id=

Vedmedyk [2.9K]

Answer:

$\displaystyle {f}^{ - 1}(x) = \frac{1}{4} (x - 18x + 85)$

Step-by-step explanation:

we would like to find the inverse of the following function:

$\displaystyle f(x) = 9 + \sqrt{4x - 4}$

to do so substitute y for f(x):

$\displaystyle y= 9 + \sqrt{4x - 4}$

interchange variables:

$\displaystyle x= 9 + \sqrt{4y - 4}$

cancel 9 from both sides:

$\displaystyle \sqrt{4y - 4} = x - 9$

square both sides:

$\displaystyle 4y - 4= x - 18x + 81$

add 4 in both sides:

$\displaystyle 4y = x - 18x + 85$

divide both sides by 4:

$\displaystyle y = \frac{1}{4} (x - 18x + 85)$

substitute back:

$\displaystyle {f}^{ - 1}(x) = \frac{1}{4} (x - 18x + 85)$

and we're done!

7 0

3 years ago

Read 2 more answers

A U.S. dime has a thickness of 1 7/20 millimeters. Gary has a stack of dimes 78 3/10 millimeters tall. How many dimes does he ha

Dahasolnce [82]

Answer:

58 number of dimes.

A. $5.8

B. 131.602 grams.

Step-by-step explanation:

A U.S. dime has a thickness of $1\frac{7}{20} = 1.35$ mm.

Now, Gary has a stack of dimes that is $78\frac{3}{10} = 78.3$ mm in height.

Therefore, Gary has $\frac{78.3}{1.35} = 58$ dimes in total.

A. Now, each dime is equivalent to $0.1.

Therefore, the total value of the dimes that Gary has is $(0.1 × 58) = $5.8.

B. If each dime weighs 2.269 grams, then the mass of the entire stack of dimes will be (2.269 × 58) = 131.602 grams. (Answer)

8 0

3 years ago

This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks age and three tim

zhannawk [14.2K]

Age of Jen is 13.6 years old

<em><u>Solution:</u></em>

Let "x" be the age of Jack and "y" be the age of Jen

Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen

The above sentence can be written mathematically as:

Jack age + 2 = twice of age of Jen

$x + 2 = 2y\\\\x = 2y - 2---- eqn 1$

The sum of Jacks age and three times Jen's age is 66

Jack age + three times Jen age = 66

x + 3y = 66 ---- eqn 2

Substitute eqn 1 in eqn 2

2y - 2 + 3y = 66

5y - 2 = 66

5y = 68

<h3>y = 13.6</h3>

Thus age of Jen is 13.6 years old

5 0

3 years ago

erik [133]

For the answer to the question above,
1 + nx + [n(n-1)/(2-factorial)](x)^2 + [n(n-1)(n-2)/3-factorial] (x)^3

<span>1 + nx + [n(n-1)/(2 x 1)](x)^2 + [n(n-1)(n-2)/3 x 2 x 1] (x)^3 </span>

<span>1 + nx + [n(n-1)/2](x)^2 + [n(n-1)(n-2)/6] (x)^3 </span>

<span>1 + 9x + 36x^2 + 84x^3 </span>

<span>In my experience, up to the x^3 is often adequate to approximate a route. </span>

<span>(1+x) = 0.98 </span>

<span>x = 0.98 - 1 = -0.02 </span>

<span>Substituting: </span>

<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 </span>

<span>approximation = 0.834 </span>

<span>Checking the real value in your calculator: </span>

<span>(0.98)^9 = 0.834 </span>

<span>So you have approximated correctly. </span>

<span>If you want to know how accurate your approximation is, write out the result of each in full: </span>

<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 = 0.833728 </span>

<span> (0.98)^9 = 0.8337477621 </span>

<span>So it is correct to 4</span>

5 0

3 years ago

Read 2 more answers

The similar rectangles have corresponding sides in the ratio 10:3 find the ratio of their area.

atroni [7]

Answer:

100:9

Step-by-step explanation:

If corresponding side lengths are in the ratio 10 : 3, the ratio of their areas will simply be the square (area is 2-dimensional).

Therefore:

10 : 3 ⇒ (10)² : (9)²

100 : 9 is the ratio of the areas.

hope this helps :)

4 0

3 years ago