An increase in demand shifts the demand curve to the right resulting in a new equilibrium with:

Three-fourths of a number is greater than or equal to nine less than a number.

Andreyy89

Answer:

$\frac{3}{4} x \geqslant x - 9$

7 0

2 years ago

The function f(t) = 33 sin (pi over 2t) − 20 models the temperature of a periodic chemical reaction where t represents time in h

Gennadij [26K]

The given function is
$f(t) = 33 sin( \frac{ \pi }{2} t) - 20$
with
t = time, hours
f = temperature, °C

Because the maximum and minimum values for the Sine function are +1 and -1 respectively,
The maximum value of f = 33 - 20 = 13.
The minimum value of f = -33 - 20 = -53.

The period, T, is given by
$\frac{2 \pi }{T} = \frac{ \pi }{2} \\ \\ T=4$

Answer:
Maximum: 13°; Minimum: -53°; period: 4 hours

4 0

2 years ago

4.

jeyben [28]

Kilogram
televisions are heavy

6 0

2 years ago

If vector u has its initial point at (-7, 3) and its terminal point at (5, -6), u =

attashe74 [19]

First of all, let θθ be some angle in (0,π)(0,π). Then

θθ is acute ⟺⟺ θ<π2θ<π2 ⟺⟺ cosθ>0cos⁡θ>0.θθ is right ⟺⟺ θ=π2θ=π2 ⟺⟺ cosθ=0cos⁡θ=0.θθ is obtuse ⟺⟺ θ>π2θ>π2 ⟺⟺ cosθ<0cos⁡θ<0.

Now, to see if (say) angle AA of the triangle ABCABC is acute/right/obtuse, we need to check whether cos∠BACcos⁡∠BAC is positive/zero/negative. But what is cos∠BACcos⁡∠BAC? It is the angle made by the vectors AB−→−AB→ and AC−→−AC→. (When you are computing the angle at a particular vertex vv, you should make sure that both the vectors corresponding to the two adjacent sides have that vertex vv as the initial point.) We will first compute these two vectors:

AB−→−=(0,0,0)−(1,2,0)=(−1,−2,0)AB→=(0,0,0)−(1,2,0)=(−1,−2,0)AC−→−=(−2,1,0)−(1,2,0)=(−3,−1,0)AC→=(−2,1,0)−(1,2,0)=(−3,−1,0)Therefore, the angle between these vectors is given by:cos∠BAC=AB−→−⋅AC−→−|AB−→−||AC−→−|=…(1)(1)cos⁡∠BAC=AB→⋅AC→|AB→||AC→|=…Can you take it from here? From the sign of this value, you should be able to decide if angle AA is acute/right/obtuse.

Now, do the same procedure for the remaining two angles BB and CC as well. That should help you solve the problem.

A shortcut. Since you are not interested in the actual values of the angles, but you need only whether they are acute, obtuse or right, it is enough to compute only the sign of the numerator (the dot product between the vectors) in formula (1). The denominator is always positive.

6 0

2 years ago

Missi designed a stained glass window and made a scale drawing using centimeters as the unit of measurement. She originally plan

serg [7]

Answer:

One cm represented 11 in. in the first scale, but now 1 cm represents 12 in. in the second scale.

Step-by-step explanation:

Did the test and got it correct

6 0

2 years ago

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