All categories

3 years ago

Can you plz answer this question I need it ASAP

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

Step-by-step explanation:

$v = l \times w \times h \\ v = 4 \times 3 \times 5 \\ v = 60 {m}^{3}$

You might be interested in

Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$

Then, $f'(x)=\frac{-1}{x^2}$

7 0

4 years ago

number line to represent all values that round 500 when rounded to the nearest hundred and 450 when rounded to the nearest ten.

Law Incorporation [45]

The answer is 460 because 460 is the nearest 10 to 50 (50+10)

5 0

3 years ago

Let V be the vector space P3[x] of polynomials in x with degree less than 3 and W be the subspace

Pepsi [2]

By definition, the span of two vectors is the set of all possible linear combinations of said vectors. So, any element in W is obtaining by choosing two numbers a,b and building

$a(7-8x-8x^2)+b(x^2-(5+6x)) = -8ax^2-8ax+7a+bx^2-6bx-5b$

(a)

So, you can show a nonzero polynomial in W by choosing any values of a and b, as long as they're not both zero. To keep it as simple as possible, we can choose for example a=1, b=0 and we obtain one of the base vectors of W:

$7-8x-8x^2$

(b)

Factoring the powers of x, we see that a generic polynomial in W looks like

$(b-8a)x^2-(8a+6b)x+7a-5b$

So, we must build a polynomial

$dx^2+ex+f$

such that it is not possible that

$\begin{cases}d=b-8a\\e=8a+6b\\f=7a-5b\end{cases}$

For example, let's try the polynomial $x^2+x+1$

We should solve the system

$\begin{cases}b-8a=1\\8a+6b=1\\7a-5b=1\end{cases}$

And you can check that it has no solutions. So, the polynomial $x^2+x+1$ does not belong to W. On the other hand, it surely belongs to V, because it is a polynomial with degree less than 3. So, the polynomial $x^2+x+1$ belongs to V/W.

7 0

4 years ago

10 packets cost 4m dollars. Mandy buys 5 packets. How much change does she get?

Juli2301 [7.4K]

Answer: 20 dollars

Step-by-step explanation:

5x4=20

6 0

3 years ago

A card has p meters of lace edging wound on it. Nerys buys n lengths of edging, each x cm long. If Q meters of edging are left o

Diano4ka-milaya [45]

Answer:

Q = P - n(x/100)

Step-by-step explanation:

P is the total number of lace edging, n is the number of times the length x is cut from P, and Q is the remnant of the reduction.

So the number of x length is subtracted from P and must be converted to meters (since it is in centimeters) to get Q. That is;

Q = P - n(x/100)

5 0

3 years ago