1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlad1618 [11]
3 years ago
8

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b + 2 c + 3 j b+2c+3jb, plus, 2, c, plus, 3

, j where b bb is the number of hours Ben spends chopping, c cc is the number of hours Cam spends chopping, and j jj is the number of hours Justin spends chopping.
Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"

Given:

Total number of trees chopped by them = b+2c+3j

b = number of hours Ben spends chopping = 8

c = number of hours Cam spends chopping = 3

j = number of hours Justin spends chopping = 4

To find:

The numerical value of total number of trees chopped by them.

Solution:

Total number of trees chopped by them = b+2c+3j

Put b=8, c=3 and j=4 in the given expression.

Total=8+2(3)+3(4)

Total=8+6+12

Total=26

Therefore, total number of trees chopped by them is 26.

You might be interested in
12, 15, 10, 15, 11, 12, 15.
malfutka [58]

Answer:

1. ≈ 12.85

2. 15

3. -38

4. 41 miles

5. 88

Step-by-step explanation:

3 0
3 years ago
F(x) = e^-x . Find the equation of the tangent to f(x) at x=-1​
natima [27]

Answer:

The <em>equation</em> of the tangent line is given by the following equation:

\displaystyle y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:
\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Derivative Rule [Basic Power Rule]:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:
\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)

Step-by-step explanation:

*Note:

Recall that the definition of the derivative is the <em>slope of the tangent line</em>.

<u>Step 1: Define</u>

<em>Identify given.</em>

<em />\displaystylef(x) = e^{-x} \\x = -1

<u>Step 2: Differentiate</u>

  1. [Function] Apply Exponential Differentiation [Derivative Rule - Chain Rule]:
    \displaystyle f'(x) = e^{-x}(-x)'
  2. [Derivative] Rewrite [Derivative Rule - Multiplied Constant]:
    \displaystyle f'(x) = -e^{-x}(x)'
  3. [Derivative] Apply Derivative Rule [Derivative Rule - Basic Power Rule]:
    \displaystyle f'(x) = -e^{-x}

<u>Step 3: Find Tangent Slope</u>

  1. [Derivative] Substitute in <em>x</em> = 1:
    \displaystyle f'(1) = -e^{-1}
  2. Rewrite:
    \displaystyle f'(1) = \frac{-1}{e}

∴ the slope of the tangent line is equal to  \displaystyle \frac{-1}{e}.

<u>Step 4: Find Equation</u>

  1. [Function] Substitute in <em>x</em> = 1:
    \displaystyle f(1) = e^{-1}
  2. Rewrite:
    \displaystyle f(1) = \frac{1}{e}

∴ our point is equal to  \displaystyle \bigg( 1, \frac{1}{e} \bigg).

Substituting in our variables we found into the point-slope form general equation, we get our final answer of:

\displaystyle \boxed{ y - \frac{1}{e} = \frac{-1}{e} \bigg( x - 1 \bigg) }

∴ we have our final answer.

---

Learn more about derivatives: brainly.com/question/27163229

Learn more about calculus: brainly.com/question/23558817

---

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

3 0
2 years ago
Jessica wants to buy a new chair that has a regular price of $75.00 this week the chair will be on sale at a 12% discount how mu
Novosadov [1.4K]

Answer: $9.

Step-by-step explanation:

It is given that,

Regular price of a new chair = $75.00

This week the chair will be on sale at a 12% discount. So,

Rate of discount = 12%

We need to find the amount of money that will Jessica save if she buys the chair this week.

Discount=12\%\text{ of }\$75.00

Discount=75\times \dfrac{12}{100}

Discount=9

Therefore, Jessica will save $9 if she buys the chair this week.

8 0
3 years ago
What is 2/r=12/18?<br> Chcjcjxjxkxkx
Alexeev081 [22]

Answer: r = 3

Step-by-step explanation:

Step 1: Cross-multiply.

2r = 12/18

(2)*(18)=12*r

36=12r

Step 2: Flip the equation.

12r=36

Step 3: Divide both sides by 12.

12r/12 = 36/12

r = 3

8 0
3 years ago
What kind of small objects composes much of the universe?
Leviafan [203]

Answer:

The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • I really dont get this:( i need some answers!
    9·1 answer
  • Jamie and his two brothers divided a package of 125 toy cars equally. About how many cars did each of them receive
    5·1 answer
  • Help me!! i am not good at this virtual algebra stuff
    7·1 answer
  • Assume that y varies inversely<br> with x. If y= 16 when x = 0.5,<br> find y when x = 32.<br> y=[? ]
    14·1 answer
  • 21. Which number below is equivalent to 3.82 x 10-5?
    10·1 answer
  • Evaluate <br><br> 0.4x + 6.1 for x = -5
    12·1 answer
  • What is the factorization of the trinomial below?<br> -2x^3-10x^2-12x
    6·2 answers
  • The selling price of a car is $13,500. Each year, it loses 11% of its value. Find the exponential function that gives the value
    13·1 answer
  • ANSWER IN THE COMMENTS SECTION DONT ANSWER COMMENT
    5·2 answers
  • Pls help me asap!!!!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!