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kondaur [170]
3 years ago
12

-21 +3 = -9r in the form of -2(x-p)2+q=​

Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

1.28 Step-by-step explanation: got

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What type of a triangle can be formed with two sides that are 8 inches and one side that is 3 inches
cestrela7 [59]

Answer:

Isosceles

Step-by-step explanation:

2 sides are equal

6 0
3 years ago
Read 2 more answers
Micaela sold half of her comic books and then bought fifteen more. She now has 31. With how many did she begin?
Ede4ka [16]

Answer:

8

Step-by-step explanation:

31-15=16

16/2=8

double check:

8(2)=16

16+15=31

6 0
3 years ago
Read 2 more answers
A computer password consists of six characters.a. How many different passwords are possible if each character may be any lowerca
Citrus2011 [14]

Answer:

a) 6.04661760*10^8

b) 0.27778

Step-by-step explanation:

a)

There are 26 lowercase letters and 10 digits.  

The character that must be a digit can be generated in 10 different ways and the others, in 26+10=36 different ways.

Since the password is 6 characters long, by the Fundamental Rule of Counting there are

10*36*36*36*36*36 = 604,661,760

In scientific notation this number can be expressed as

6.04661760*10^8

b)

By the <em>Fundamental Rule of Counting</em>, there would be  

36^6

different combinations of 6 characters, but only the number computed in a) are valid combinations, so the probability of generating a valid password is

\displaystyle\frac{10*36^5}{36^6}=\displaystyle\frac{10}{36}=0.27778

5 0
3 years ago
Which of the following would be the most logical first step to solving this
NikAS [45]

Answer:

D is correct option

Step-by-step explanation:

The correct option is D.

The standard quadratic equation is ax²+bx+c=0

Where a and b are coefficients and c is constant.

It means that constant are on the L.H.S and there is 0 on the right hand side.

Therefore to make it a quadratic equation first of all you have to add 11 at both sides so that the R.H.S becomes 0.

The given equation is:

2x2-x+ 2 = -11

If we add 11 on both sides the equation will be:

2x2-x+ 2 +11= -11+11

2x^2-x+13=0

Thus the correct option is D

You can further solve it by applying quadratic formula....

8 0
3 years ago
When an amount of heat Q (in kcal) is added to a unit mass (kg) of a
lisov135 [29]

Answer:

The change in temperature per minute for the sample, dT/dt is 71.\overline {6} °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)

\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)

Therefore, we get;

\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}

\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C }   = 71.\overline 6 \, ^{\circ } C/min

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

\dfrac{dT}{dt}  = 71.\overline 6 \, ^{\circ } C/min

8 0
2 years ago
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