The square of the binomial x-4 has the form x^2-ax+16. What is the value of a?

a storeroom 21 feet long, 15 feet wide, and 11 feet high was enlarged to a length of 25 feet and a width of 17 feet. how many cu

xenn [34]

<h2>1210 cubic feet</h2>

Step-by-step explanation:

Initial dimensions of the storeroom were $21\text{ }ft$ length, $15\text{ }ft$ width and $11\text{ }ft$ height.

The room is in the shape of a cuboid. Volume of a cuboid = $V=l\times b\times h$ , where $l,b,h$ are the length, width and height of the cuboid.

So, Volume of storeroom initially = $21\text{ }ft\text{ }\times15\text{ }ft\text{ }\times11\text{ }ft\text{ }=3465\text{ }ft^{3}\text{ }$

Finally, the length was increased to $25\text{ }ft$ and width to $17\text{ }ft$ .

Final volume of storeroom = $25\text{ }ft\text{ }\times 17\text{ }ft\text{ }\times 11\text{ }ft\text{ }=4675\text{ }ft^{3}\text{ }$

Increase in volume = $4675\text{ ft}^{3}-3465\text{ ft}^{3}=1210\text{ ft}^{3}$

∴ 1210 cubic feet of storage was added.

7 0

3 years ago

Raul simplified the expression, as shown below.

Softa [21]

Answer:

Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).

Step-by-step explanation:

Distributive property:

The distributive property of multiplication is:

a*(b + c) = a*b + a*c

Precedence of operations:

First multiplication, then addition.

Multiplication of terms with the same base:

The multiplication of h*h = h², which Raul missed.

The correct simplification is given by:

$-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h$

4 0

2 years ago

Read 2 more answers

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to kilometers

Ira Lisetskai [31]

Answer:

The kilometers Jupiter travel in 5 seconds is <u>64 kilometers</u>.

Step-by-step explanation:

Given:

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second.

1 mile is equal to 1.6 kilometers.

Now, to convert this speed to kilometers per second, and at this speed to find kilometers will Jupiter travel in 5 seconds.

So, to convert speed of miles per second into kilometres per second:

<em>1 mile = 1.6 kilometres.</em>

Thus, 8 miles = 8 × 1.6 = 12.8 kilometres per second.

Now, at this speed we calculate the kilometres Jupiter travel in 5 seconds by multiplying:

<em>In 1 second Jupiter travel = 12.8 kilometres.</em>

So, in 5 seconds Jupiter travel $=12.8\times 5$

$=64\ kilometers.$

Therefore, the kilometers Jupiter travel in 5 seconds is 64 kilometers.

6 0

3 years ago

Help help help help help

lawyer [7]

The answer would be C. you know this because it can’t be A or B because they are positive and D is over -1 which is more than -1/6.

sorry if this is confusing but yeah

4 0

2 years ago

Read 2 more answers

Does anybody know this

Dmitrij [34]

Step-by-step explanation:

The equation used to determine the amount of radioactive material left is

$A = A_0(2)^{-t/HL}$