Calculate the cost for the fuel needed for Sam to drive to Nanaimo to tofino

(15 points)

The shaded region of a circle formed by one line as shown in the image is called a segment.

Answer: segment

Answer:

500 - 6r = t

Step-by-step explanation:

500 represents the amount of copper wire Lisa started with.

-6r represents how much copper wire (in yards) is used on the robot (9*2 / 3 = 6).

t represents the total wire left after Lisa builds r robots.

Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

Answer:

It's option B. 4x^3 - 33x^2 + 65x - 66

See the attached image for my work:

Answer:

c

Step-by-step explanation:

it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11

(B) the square root of 180 is 13.42 which is between 13&14

(c) the square root of 12 is 3.46 which is not between 4&5

Answer:

C the square root  of 12 is between 4&5.

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

A common pythagorean triplet is 7, 8, 9

Answer:

11.4

Step-by-step explanation:

Pythagorean theorem

[tex]7^{2}[/tex] + [tex]9^{2}[/tex] = [tex]x^{2}[/tex]

49 + 81 = [tex]x^{2}[/tex]

130 = [tex]x^{2}[/tex]

11.4 = x

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

Answer:

According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.

Answer:

7, 3, 0, -3, -5, -8, -14

Step-by-step explanation:

I know 7 is the greatest value you add the most because to get to 7 from 0.

I know -14 is the least value because I subtracted the most to get to -14 from 0.

simplify the expression below

(x 1/15) 5

Using the law of indices we multiply the power outside the parenthesis with the power inside the parenthesis.

Therefore,

1/15 x 5 = 5/15 = 1/3

After multiplying the power, we reduce the fraction to it lowest term. By doing so we get the fraction power of 1/3.

our final expression will be like

(xA 1/15) A 5 multiply the power

(xA 5/15) reduce the fraction power to it lowest term

(1/x3)

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Answer:

x = 2

Step-by-step explanation:

26-4x=9x

Add 4x to each side

26-4x+4x=9x+4x

26 = 13x

Divide each side by 13

26/13 = 13x/13

2 = x

Answer:

-26/5

Step-by-step explanation:

[tex]26 - 4x = 9x \\ 4x = 9x - 26 \\ - 5x = - 26 \\ \frac{ - 5x}{5} = \frac{26}{5} [/tex]

Answer:

[tex] {x}^{2} + x + xy + y + zx + z \\ = x(x + 1 + y + y + z) + z \\ = x(x + 2y + z + 1) + z[/tex]

Answer:it depends what was on it but i would say about 500

Step-by-step explanation:

Step-by-step explanation:

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

Answer:

C. Y=2x

Step-by-step explanation:

I hope this help you

Step-by-step explanation:

y=x+6.......(1)

y=-3X-6....(2)

from eq (1), we get,

x=y-6....(3)

sub eq (3) in eq (2), we get

y= -3(y-6)-6

y= -3y+18-6

y+3y-12=0

4y=12

y=3

sub value of y in eq (3)

x=3-6

x=-3

Answer: (3, 3)

Step-by-step explanation:

There are three general ways of solving a system of equations:

When solving systems of equations with graphing, look for points that overlap with each other or cross, and that will be the solution for the system. There might be one, two, or more than two solutions.

Please refer to the attachment below for the graph of the two equations.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a)

Step-by-step explanation:

Y=k/x........(1)

Put y and x in (1) to get:

3=k/5

K=15

Now put k=15 in (1):

Y=15/x

b)

Y=k/x as x=45

Y=15/45

Y=1/3

Answer:

14th term is 16,384

Step-by-step explanation:

I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]

If n = 14, a = 2 and r = 2

         [tex]a_{14} = 2(2^{14-1} )[/tex]

               = 2([tex]2^{13}[/tex])

         [tex]a_{14}[/tex]      = 16,384

Answer:

0.72 repeat

Step-by-step explanation:

              __

8 ÷ 11 =0.72

Answer:

[tex] = \frac{33}{14} [/tex]

Step-by-step explanation:

[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]

➡️ [tex] - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]

➡️ [tex] \frac{72}{7} \times \frac{11}{48} [/tex]

➡️ [tex] \frac{3}{7} \times \frac{11}{2} [/tex]

➡️ [tex] \frac{33}{14} [/tex] ✅

Answer:

2 kg

Step-by-step explanation:

5 - 3 = 2

Hey there!

First, read the the problem again and look for any clues. "Have left" is a phrase that would be used for subtraction. So, 5 kg - 3kg = 2 kg.

Patrick has 2 kilograms of sugar left.

Hope this helps!

Have a great day!

Answer:

yes

Step-by-step explanation:

since it can be expressed as a fraction, it is rational

Answer:

[tex] \frac{2 - 3i}{4 + 2i} = \frac{1 - 8i}{10} [/tex]

Step-by-step explanation:

To simplify an expression like this, we multiply top and ottom of the fraction (denominator and numerator) by the complex conjugate of the bottom (numerator). For a complex expression (a+bi), the complex conjugate is (a−bi). When we do the calculation, it will become clear why this works so well.

Note that (a−bi)/(a−bi) is just the same as 1, so when we do this multiplication the result is the same number we started with.

[tex] \frac{2 - 3i}{4 + 2i} = \frac{2 - 3i}{4 + 2i} \times \frac{4 - 2i}{4 - 2i } \\ = \frac{8 - 12i - 4i + 6 {i}^{2} }{16 + 8i - 8i - 4 {i}^{2} } \\ = \frac{8 - 16i + 6 {i}^{2} }{16 - 4 {i}^{2} } [/tex]

But

[tex] i = \sqrt{ - 1} \: so \: {i}^{2} = - 1 [/tex]

Using this and collecting like terms, we have:

[tex]\frac{8 - 16i + (6 \times - 1) }{16 - 4 ( - 1) } = \frac{2 - 16i}{20} = \frac{1 - 8i}{10} [/tex]

The metal displaced a volume of

58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³

of water, which is to say the metal has this volume.

If the metal has a mass of 287.8 g, then its density is its mass per unit volume,

(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³

Answer:

167

812

Step-by-step explanation:

I think it's correct and helping you get a great day:)