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3 years ago

Evaluate 6a + 4 when a=1/3

Mathematics

2 answers:

frozen [14]3 years ago

7 0

Answer:

6a+4 when a=1/3

6(1/3)+4

2+4

a=6

ozzi3 years ago

3 0

Answer:

Step-by-step explanation:

6 x 1/3 = 2

2 + 4 = 6

- Hope this helps! If you would like further help on this please let me know.

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Who is faster The Flash or Quicksilver? I want a source to back up your answer

nikdorinn [45]

Answer:

The flash.

Step-by-step explanation:

He used to max out at Mach 1. Since crossover events are exceedingly rare, it is safe to assume that if you were comparing their speeds, the Flash is consistently faster than Quicksilver, though operationally speaking both could be consider comparable since their feats tend to be done at the same overall speed.

3 0

4 years ago

Read 2 more answers

What 2 numbers add to get 2 and multiply to 4

rusak2 [61]

Factor 4
4=1 times 4
2 times 2
they don't add to 2
set up equation
x+y=2
xy=4

first equation, subtract x from both sides
y=2-x
subsitute for y
x(2-x)=4
distribute
2x-x^2=4
add x^2
2x=x^2+4
subtract 2x
0=x^2-2x+4
use quadratic formula which is
if you have ax^2+bx+c=0 then
x= $\frac{ -b+/-\sqrt{b^{2}-4ac} }{2a}$ so

1x^2-2x+4=0
a=1
b=-2
c=4
x= $\frac{ -(-2)+/-\sqrt{(-2)^{2}-4(1)(4)} }{2(1)}$
x= $\frac{ 2+/-\sqrt{4-16} }{2}$
x= $\frac{ 2+/-\sqrt{-12} }{2}$
we have $\sqrt{-12}$ and that doesn't give a real solution
therefor there are no real solutions
but if you want to solve fully
x= $\frac{ 2+/-2\sqrt{-3} }{2}$
i= $\sqrt{-1}$
x= $\frac{ 2+/-2i\sqrt{3} }{2}$
x= $1+/-i\sqrt{3}$
x= $1-i\sqrt{3}$ or x= $1+i\sqrt{3}$ (those are the 2 numbers)

6 0

4 years ago

Your firm has a contract to make staff uniforms for a fast-food retailer. The heights of the staff are normally distributed with

FromTheMoon [43]

Answer:

a) 16%

b) 2.5%

Step-by-step explanation:

The mean is 70 with standard deviation(SD) of 3 and you are asked to find out the percentage of staff that have <67(70-3 inch= mean - 1 SD) inch size, which means 1 SD below the mean (<-1 SD). Using 68-95-99.7 rule, you can know that 68% of the population is inside 1 SD range from the mean ( -1 SD to + 1 SD).

To put it on another perspective, there are 32% of the population that have < -1 SD and > +1 SD value. Assuming the distribution is symmetrical, then the value of < - 1 SD alone is 32%/2= 16%

The question asks how many populations have size >76 inches, or mean + 2 SD (70+3*2 inch).

You can also solve this using 68-95-99.7 rule, but you take 95% value as the question asking for 2 SD instead. Since 95% of population is inside 2 SD range from the mean ( -2 SD to + 2 SD), so there are 5% of population that have < -2 SD and > +2 SD value. Assuming the distribution is symmetrical, then the value of > +2 SD alone is 5%/2= 2.5%

3 0

3 years ago

The complement of an angle is three times the measurement of the angle. Find the measurement of the larger angle.

olganol [36]

We know that two complements add up to 90.
Let's call the smaller angle x and the larger y.
3x = y
x + y = 90
We can use simple substitution.
x + 3x = 90
4x = 90
x = 22.5

Then, since we know that 3x=y, we can find the larger angle.
3*22.5 = 67.5

4 0

4 years ago

Can someone please help me do this

Viefleur [7K]

Answer:

Step-by-step explanation:

CD is Pole

∠CAD = 4° {Alternate interior angles}

ΔCAD,

$\dfrac{opposite \ side}{adjacent \ side}= tan 4\\\\ \dfrac{90}{AD}=tan \ 4\\\\ \dfrac{90}{AD} = 0.069\\\\90 = 0.069*AD\\\\ \dfrac{90}{0.069}=AD\\\\AD = 1304 \ ft$

In ΔCDB,

∠B = 5° {Alternate interior angles}

$Tan \ 5 = \dfrac{90}{BD}\\\\0.09* BD = 90\\\\BD = \dfrac{90}{0.09}\\\\BD = 1000 \ ft$

4 0

3 years ago