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Roman55 [17]
3 years ago
13

The table below shows some input and output values for a function named F(n)

Mathematics
1 answer:
Serjik [45]3 years ago
5 0
The answer is C. (3n+5)
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The height of the sail on a boat is 7 feet less than 3 times the length of its base. If the
xxTIMURxx [149]

Answer:

Base=8 feet

Height=17 feet

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Using quadratic formula

x= -b +or- √b^2 - 4ac / 2a

= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)

= 7 +or- √49 - (-1632) / 6

= 7 +or- √49+1632) / 6

= 7 +or- √1681 / 6

=7 +or- 41 /6

x= 7+41 / 6 or 7-41 / 6

=48/6 or -34/6

=8 or -17/3

Answer:

Step-by-step explanation:

Let

Base=x

Height=3x-7

Area=68 square feet

Area of the sail boat=1/2 * base * height

68 = 1/2 * x * (3x-7)

Cross product

68 * 2 =(1) * (x) * (3x-7)

136 = 3x^2 - 7x

3x^2 - 7x - 136=0

Base of the boat can't be a negative value

Therefore,

Base = x = 8 feet

Height= 3x-7

=3(8)-7

=24-7

=17 feet

3 0
3 years ago
(b) The area of a rectangular painting is 7719 cm2.
Nataliya [291]

Given:

  • The area of a rectangular painting is 7719 cm²
  • Width of painting = 83cm

To Find?

  • Length of painting.

Solution:

  • Let length of painting be x cm

Using formula:

  • Area of rectangle = L × B

Where,

  • Length = x cm
  • Breadth = 73 cm

→ 7719 = x × 83

→ x = 7719/83

→ x = 93 cm

Hence,

  • Length of painting is 93cm
6 0
2 years ago
Read 2 more answers
Find the surface area of the cylinder. Use a ~ 3.14 20 m​
lesantik [10]

Answer:

1444.4 m2

Step-by-step explanation:

Surface Area = 2 * 3.14 * (R*R + R*L) = 2 * 3.14 * (10*10+10*13) = 1444.4 m2

Note .. You can Derive this  

"Surface Area = 2 * 3.14 * (R*R + R*L)"

Using Calculus by differentiating its Volume

V = 3.14 * R * R * L

6 0
3 years ago
Brent runs a small toy store specializing in wooden toys. From 2000 through 2012, the number of toys Brent made can be modeled b
maks197457 [2]

Answer:

which of the following element is essential to formation and

Step-by-step explanation:

maintenance of bones and teeth

5 0
3 years ago
Andre says that 5 3/4 + 2 1/4 = 7 1/2 because 7 4/8 = 7 1/2. Identify his mistake. Draw a picture to prove that he is wrong.
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

The given expression is

5\frac{3}{4}+2\frac{1}{4} =7\frac{4}{8}=7\frac{1}{2}

We will rewrite the expression

\frac{23}{4}+\frac{9}{4} =\frac{60}{8}=7\frac{1}{2}

When we add the fraction

\frac{23+9}{4} = \frac{32}{4} = 8

While Andre says the answer is 7\frac{1}{2}

because Andre added the denominator where he has to make a common denominator that should be 4 instead of 8.

Andre made mistake in this step

Picture is given below :

3 0
3 years ago
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