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erik [133]
3 years ago
14

Simplify this expression: 16+28/2-6/10-4x2

Mathematics
1 answer:
olga2289 [7]3 years ago
8 0

Simplify 28/2 to 14

16 + 14 - 6/10 - 4x^2

Simplify 6/10 to 3/5

16 + 14 - 3/5 - 4x^2

Collect like terms

-4x^2 + (16 + 14 - 3/5)

Simplify

<u>-4x^2 + 147/5</u>

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Megan draws three different diagrams to represent the sample space of flipping a coin and rolling a 6-sided die.
erica [24]

Answer:

The explanation is given below.

Step-by-step explanation:

Given:

Two events take place.

Let event A be flipping a coin

Let event B be rolling a 6-sided die.

Now, a coin has two faces; one is head and the other is tail.

So, the possible outcomes of event A are: {H, T}

H → Head, T → Tail.

Now, a six sided die has six faces each marked with a number. The numbers marked ranges from 1 to 6.

So, the possible outcomes of event B are {1, 2, 3, 4, 5, 6}

Now, each element of set A should match with all the elements of set B.

Now, tabular form should have a row of outcomes of B and a coum of outcomes of event A. Thus,

Outcomes          1          2       3        4         5          6  

   H                 H1         H2     H3     H4       H5      H6

   T                 T1         T2     T3        T4      T5         T6

Therefore, the organised list has the following outcomes:

H1                 T1        

H2                T2

H3                T3

H4                T4

H5                T5

H6                T6

Finally, the correct tree diagram is attached below.

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

7 0
3 years ago
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides
givi [52]

Answer:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

Step-by-step explanation:

Rectangular garden    A (r ) =  x * y

Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.

the perimeter of the rectangle is  p  =  2*x  +  2*y    ( but in this particular case only one side x will be fencing with wire

56   =   x    +  2*y      56   -  2*y  =  x

A(r)   =  ( 56  -  2*y ) * y

A(y ) =  56*y  -  2*y²

Tacking derivatives on both sides of the equation we get:

A´(y )  =  56  - 4 * y        A´(y) = 0     56  -  4*y  =  0    4*y  =  56

y =  14 m

and x  =  56  - 2*y    =  56 - 28  = 28 m

Then dimensions of the garden:

x  =  28 m

y  =  14  m

A(max)  =  392 m²

How do we know that the area we found is a local maximum??

We find the second derivative

A´´(y)  = - 4     A´´(y)  <  0   then the function A(y) has a local maximum at y = 14 m

4 0
3 years ago
Show your work<br><br> v= pi(3.14)r^2h
ddd [48]

Answer: 2000.18 unit^3

Step-by-step explanation:

radius = 14 / 2 = 7

V of cylinder = π x r^2 x h

= 3.14 x 7^2 x 13

= 3.14 x 49 x 13

= 2000.18 unit^3

8 0
1 year ago
Solve the equation for x
PIT_PIT [208]

Answer:

              \bold{x=\frac{-6+z}6=-1+\frac z6}

Step-by-step explanation:

\bold{x-6+5x=-12+z}\\{}\quad +6\qquad\quad\ +6\\{\quad}\bold{6x\ =\ -6+z}\\{}\quad\div6\quad\ \ \div6\\{}\quad \bold{x=\frac{-6+z}6=-1+\frac z6}

7 0
4 years ago
6 pounds of potatoes cost $11.34. What is the unit price?
AveGali [126]
Your answer would be $1.89

You take 11.34 and divide it by 6. After that you’ll be 1.89 as your unit price.

1.89 is how much for 1 pound
8 0
3 years ago
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