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Ber [7]
3 years ago
14

3

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

a) f(6)=(6)^2+4(6)+1=65

b)f (x+9)=(x+9)^2+4 (x+9)+1=(x^2+18x+81)+(4x+36)+1=x^2+22x+117

f (-x)=(-x)^2-4x+1

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A box contains seven action, six comedies, eight dramas, and five science fiction films. Find the probability of choosing a come
Montano1993 [528]

7 action, 6 comedies, 8 dramas and 5 science fiction. So our sample space or possible outcomes is 7+6+8+5, or 26.


one thing to note is that AND means multiplication.


P(comedy) will be 6/26, favorable outimes over possible outcomes, and then we put it back, because we're putting it back in the box, the sample space is again 26, therefore P(drama) is 8/26, and then we multiply both.


\bf \stackrel{P(comedy)}{\cfrac{6}{26}}~~\stackrel{\stackrel{AND}{\downarrow }}{\cdot }~~\stackrel{P(drama)}{\cfrac{8}{26}}\implies \cfrac{3}{13}\cdot \cfrac{4}{13}\implies \cfrac{12}{169}~~\approx~~0.071\\\\\\0.071\cdot 100\implies \stackrel{\%}{7.1}

8 0
4 years ago
Read 2 more answers
Nolan drew a right triangle how many Acute angles did he draw
Alenkasestr [34]
2 acute angles
just make a right angle and close it

6 0
3 years ago
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
Ivanshal [37]

Answer:

20079.05 cm^2,

Step-by-step explanation:

Surface area of the box without the lid

=  90*42 + 2(90*34) + 2(42*34) = 12756.

Now find Surface area of the half cylinder:

The diameter of the 2 half circles = 42 so the radius = 21.

The area of the lid  

= 2 + 1/2 π (21)^2 + π r * 90

= 7323,052

Total = 20079.052

 

7 0
3 years ago
-7 = -c - 29 Easy Points
Luden [163]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

c = - 22

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Solving for 'c'...}}\\\\-7 = -c-29\\-------------\\\rightarrow -c -29 = -7\\\\\rightarrow -c - 29 + 29 = -7 + 29\\\\\rightarrow -c  = 22\\\\\rightarrow\frac{-c=22}{-1}\\\\\rightarrow \boxed{c = -22}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

5 0
3 years ago
Scott is using a 12 foot ramp to help load furniture into the back of a moving truck. if the back of the truck is 3.5 feet from
Over [174]

A 12 feet ramp is used to load stuff into the truck which is at a height of 3.5 feet from ground.

The ramp forms a Right triangle with ground and height of truck.

In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.


We can use Pythagorean theorem that is given by :-

(Hypotenuse)² = (Base)² + (Height)²

(12)² = (Base)² + (3.5)²

144 = (Base)² + 12.25

(Base)² = 144 - 12.25

(Base)² = 131.75

(Base) = √131.75

Base = \sqrt{131.75} = 11.48 \; feet

So, horizontal distance is 11.48 feet.

5 0
4 years ago
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