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Elena L [17]
3 years ago
12

The total cost to rent a row boat is $16 times the number of hours the boat is used. Write an equation to model this situation i

f c = total cost and h = number of hours. c = 16h h = 16c c – 16 = h
Mathematics
1 answer:
OverLord2011 [107]3 years ago
7 0

Answer:

c = 16h

Step-by-step explanation:

Because to get the total cost you'll have to multiply 16 times the hours used.

Ex: 5 hours used for $16 each hour

5×16=80 So $80 is total cost

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What is the maximum number of turns for the graph of f(x)=x^4+3x^2?
Stels [109]

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!

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3 years ago
19) Kyle has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in his account by the end
Karolina [17]
If Kyle starts with $600 and wants to end with (at least) $300 She can withdraw up to $600−$300=$300
If he withdraw 20$/ week the 300 will last for 300/20 = 15 weeks
8 0
3 years ago
If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2<br>​
qaws [65]

a=2 b=3 and c=4. then,

<em>a2+2abc+b2+c2</em>

<em>a2+2abc+b2+c2</em><em>=</em><em> </em><em>2</em><em>^</em><em>2</em><em>+</em><em>2</em><em>×</em><em>2</em><em>×</em><em>3</em><em>×</em><em>4</em><em>+</em><em>3</em><em>^</em><em>2</em><em>+</em><em>4</em><em>^</em><em>2</em>

<em>(</em><em>replace</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>a</em><em>,</em><em> </em><em>b</em><em>,</em><em> </em><em>c</em><em> </em><em>by</em><em>2</em><em>,</em><em>3</em><em>,</em><em>4</em><em> </em><em>respectively</em><em> </em><em>tgen</em><em> </em><em>solve</em><em>)</em>

<em>=</em><em> </em><em>4</em><em>+</em><em>4</em><em>8</em><em>+</em><em>9</em><em>+</em><em>1</em><em>6</em>

<em>=</em><em> </em><em>7</em><em>7</em><em>…</em><em>…</em><em>…</em><em>…</em><em>…</em><em>…</em>

<em> </em><em>Therefore</em><em>,</em><em> </em><em>7</em><em>7</em><em> </em><em>is</em><em> </em><em>correct</em><em> </em><em>answer</em><em>.</em>

7 0
3 years ago
Does anybody know the answer?
Anon25 [30]

Answer:

0.00000381469

Step-by-step explanation:

there u go

4 0
2 years ago
Will someone please help me!!! I don’t know the answer to these! I don’t even know if I did them right!
Varvara68 [4.7K]

Answer:

BD = 12 units

AB = 16 units

FG=\sqrt{105}

EC=4\sqrt{10} units

AC=8\sqrt{10} units

Step-by-step explanation:

A circumcenter is the point  where the perpendicular bisectors of a triangle intersect.

This means

  • BD = DC;
  • BF = FA;
  • AE = EC.

Since BC = 24 units, then BD = 12 units (half of BC).

Since FA = 8 units, AB = 16 units (twice FA).

Consider right triangle BGF. In this triangle, BF = 8 units (congruent to FA), BG = 13 units. By the Pythagorean theorem,

FG^2=BG^2-BF^2\\ \\FG^2=13^2-8^2\\ \\FG^2=169-64=105\\ \\FG=\sqrt{105}\ units

Triangles BFG and AFG are congruent right triangles, then BG = AG. In right triangle AGE, GE=3 units, AG=13 units. By the Pythagorean theorem,

AE^2=AG^2-GE^2\\ \\AE^2=13^2-3^2=169-9=160\\ \\AE=\sqrt{160}=4\sqrt{10}\ units

AE = EC=4\sqrt{10}\ units

AC = 2AE=2\cdot 4\sqrt{10}=8\sqrt{10}\ units

5 0
3 years ago
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