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4 years ago

Which expression is equivalent to -4x4x4x4x4x4x4x4?

Mathematics

1 answer:

kogti [31]4 years ago

8 0

Answer:

a) -4^8

Step-by-step explanation:

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What are the values that satisfy the trigonometric equation for: 0≤q≤2π ? sin(∅)+tan(−∅)

Mrac [35]

Answer:

First choice: 0, pi

Step-by-step explanation:

I am assuming the equation is

$\sin q + \tan (-q) = 0$

(the =0 part is missing in the original problem)

$\sin q + \tan (-q) = 0\\\sin q + \frac{\sin (-q) }{\cos (-q)} = 0\\\sin q + \frac{-\sin q}{\cos q}=0\\\sin q = \frac{\sin q}{\cos q}\\\sin q \cdot \cos q = \sin q\,\,,\,\,\, 0\leq q \leq 2\pi\\\implies\\\cos q = 1 \implies q=\{0, 2\pi\}\\\mbox{or}\\\sin q = 0 \implies q=\{0, \pi, 2\pi\}\\\implies\\q=\{0,\pi,2\pi\}$

So, the full solution for q is three values: 0, pi, 2pi. This matches the first choice (which is not complete, but that is ok)

7 0

3 years ago

Find the solution(s) for x in the equation below. x^2 + 10x + 21= 0

Law Incorporation [45]

The solutions for ‘x’ in the given equation are – 3 and - 7

Step-by-step explanation:

Given equation:

$x^{2} + 10 x + 21 = 0$

To find the ‘x’ value, try to factor, because in this case it works, it's fast. By using factor method, we get

(x + 3) (x + 7) = 0 (adding both value we get 10 and multiply as 21 as in equation and check with signs also while factoring)

x = - 3, -7

Verify above values by multiply both terms,

(x + 3) (x + 7) = 0

$x^{2} + 7 x + 3 x + 21 = 0$

$x^{2} + 10 x + 21 = 0$ (so values obtained from factor method are correct)

Or, can use quadratic formula, for $a x^{2} + b x + c=0$ , the solutions are given by:

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

In the given equation, a = 1, b = 10, c = 21, apply these in above formula

$x=\frac{-10 \pm \sqrt{10^{2}-(4 \times 1 \times 21)}}{2(1)}=\frac{-10 \pm \sqrt{100-84}}{2}$

$x=\frac{-10 \pm \sqrt{16}}{2}=\frac{-10 \pm 4}{2}$

So,

When $x=\frac{-10+4}{2}=\frac{-6}{2}=-3$

When $x=\frac{-10-4}{2}=\frac{-14}{2}=-7$

Hence, the values for ‘x’ are - 3 and - 7

7 0

3 years ago

Look down below for question

dusya [7]

So x=x
and y=pounds
when x=0, y=64
when x=1, y=63.1
to find slope, (y1-y2)/(x1-x2)=(64-63.1)/(0-1)=0.9/-1=-0.9=slope
y=-0.9x+b
subsitute
64=-0.9(0)+b
b=64
y=-0.9+64
so int 2001, x=11
y=-0.9(11)+64
y=-9.9+64
y=54.1

5 0

4 years ago

Jack’s lawn-mowing service is a profit-maximizing, perfectly competitive firm. jack mows lawns for $27 each. his total cost each

tatuchka [14]

Answer: P=27 Q=10 TC=280 TC=FC+VC FC=30 VC=280-30=250 TR=Q*P=10*27=270 Profit=TR-TC=270 - 280= -10 In short-tun Bob should continue mow lawns because he covers fixed costs (overvice instead of loss -10 he would had loss amounting fixed costs - 250) In long-run he should close production.

7 0

3 years ago

How to convert 64 mm to fraction

natulia [17]

1m= 1000mm

so 64mm*1m/1000mm=64/1000m

7 0

3 years ago

Read 2 more answers