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labwork [276]
3 years ago
8

Based on number terms what is a polynomial 2n2- 2n called?

Mathematics
1 answer:
KatRina [158]3 years ago
3 0

Polynomials are sums of these "variables and exponents" expressions. Each piece of the polynomial (that is, each part that is being added) is called a "term".

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What is the slope of the equation y = 5x - 7?<br> o<br> -7<br> o<br> 7.
Cerrena [4.2K]

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x - 7 ← is in slope- intercept form

with slope m = 5

5 0
3 years ago
Read 2 more answers
As an estimation we are told 5 miles is 8 km. <br>Convert 60 km to miles.​
blagie [28]

Answer:

37.5 miles

Step-by-step explanation:

We can find the rate of conversion by dividing kilometers by miles. 5÷8=1.6, so 1.6 km = 1 mile. Now we can divide 60 by 1.6 to find miles.

60/1.6=37.5

Hope this helped!

5 0
3 years ago
Read 2 more answers
Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the fiv
Dahasolnce [82]

Answer and Explanation:

Given : Five males with an​ X-linked genetic disorder have one child each. The random variable x is the number of children among the five who inherit the​ X-linked genetic disorder.

To find :

a. Does the table show a probability distribution?

b. Find the mean and standard deviation of the random variable x.

Solution :

a) To determine that table shows a probability distribution we add up all six probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.029+0.147+0.324+0.324+0.147+0.029

\sum P(X)=1

Yes it is a probability distribution.

b) First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.029         0              0                0

1     0.147        0.147           1              0.147

2    0.324       0.648         4              1.296

3    0.324       0.972         9              2.916

4    0.147        0.588        16              2.352

5    0.029       0.145         25            0.725

   ∑P(x)=1      ∑xP(x)=2.5               ∑x²P(x)=7.436

The mean of the random variable is

\mu=\sum xP(x)=2.5

The standard deviation of the random sample is

Variance=\sigma^2

\sigma^2=\sum x^2P(x)-\mu^2

\sigma^2=7.436-(2.5)^2

\sigma^2=7.436-6.25

\sigma^2=1.186

\sigma=\sqrt{1.186}

\sigma=1.08

Therefore, The mean is 2.5 and the standard deviation is 1.08.

5 0
3 years ago
Element X decays radioactively with a half life of 11 minutes. If there are 870 grams of Element X, how long, to the nearest ten
serg [7]

Answer:

It would take 27.5 minutes the element to decay to 154 grams.

Step-by-step explanation:

The decay equation:

\frac {dN}{dt}\propto -N

\Rightarrow \R\frac {dN}{dt}=-\lambda N

\Rightarrow \frac {dN}N=-\lambda  dt

Integrating both sides

\Rightarrow \int \frac {dN}N=\int-\lambda  dt

\Rightarrow ln|N|=-\lambda  t+c

When t=0, N=N_0 = initial amount

ln|N_0|=-\lambda  .0+c

\Rightarrow c=ln|N_0|

ln|N|=-\lambda t+ln|N_0|

\Rightarrow ln|N|-ln|N_0|=-\lambda t

\Rightarrow ln|\frac{N}{N_0}|=-\lambda t

Decay equation:              

                    ln|\frac{N}{N_0}|=-\lambda t

Given that, the half life of of element X is 11 minutes.

For half life, N=\frac12  N_0,  t= 11 min.

ln|\frac{N}{N_0}|=-\lambda t

\Rightarrow ln|\frac{\frac12N_0}{N_0}|=-\lambda . 11

\Rightarrow ln|\frac12}|=-\lambda . 11

\Rightarrow -\lambda . 11=ln|\frac12}|

\Rightarrow \lambda =\frac{ln|\frac12|}{-11}

\Rightarrow \lambda =\frac{ln|2|}{11}                [ ln|\frac12|=ln|1|-ln|2|=-ln|2| , since ln|1|=0]

N=154 grams, N_0 = 870 grams, t=?

ln|\frac{N}{N_0}|=-\lambda t

\Rightarrow ln|\frac{154}{870}|=-\frac{ln|2|}{11}.t

\Rightarrow t= \frac{ln|\frac{154}{870}|\times 11}{-ln|2|}

      =27.5 minutes

It would take 27.5 minutes the element to decay to 154 grams.

5 0
3 years ago
alice fox and basil cat are searching for a treasure they start at the old oak tree in the field of dreams and walk 240 m, each
attashe74 [19]

alice fox's step is 3/5 m and basil cat's step is 4/5m.

note: i will be using 1/5m instead of 20 cm to keep the units consistent

1. Set up table

     | Step Length | # of steps | Distance

A   |    x                 |    240/x     |   240

B   |       x+1/5       |  240/x+1/5 |   240

2. set up equation

240/x  -  100 = 240/x+0.2

3. Multiply the bases to make it:

240x+48 - 100x^2 -20x = 240x

=    100x^2-20x+48=0

4. Use vieta's theorem or quadratic equation to solve for x

x= 3/5, -4/5 but -4/5 doesnt work bc distance can't be negative

5. plug back in

A   |    3/5  

B   |       3/5+1/5

so: alice fox's step is 3/5 m and basil cat's step is 4/5m.

hope this was helpful!!

8 0
3 years ago
Read 2 more answers
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