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yuradex [85]
2 years ago
7

Which system of equations is represented by the graph?

Mathematics
1 answer:
valentina_108 [34]2 years ago
4 0
I believe the answer is D
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Two sides of a right triangle have lengths of 26 units and 10 units. There are two possible lengths for the third side. What is
Naya [18.7K]
C^2 = a^2 + b^2
26^2 = 10^2 + b^2
676 = 100 + b^2
576 = b^2
shortest side length = 24 units
7 0
2 years ago
A hotel manager found that his gross Receipts for the day including a 3% sales tax were $1,551.18 find the amount of sales tax c
IrinaK [193]
The total percentage of the equation is 1,597.72
6 0
3 years ago
Situation:
Arturiano [62]

Answer:

t = 6162  years

Step-by-step explanation:

Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.

The equation to use is that for carbon decay:

N(t)=N_0\,e^{-0.0001\,\,t}

If the skull contains 54% of its original amount of C14, then that means that :

N(t)=0.54 \,\,N_0

we use this to solve for the time (t) in our equation:

0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years

which rounded to the nearest year as requested gives :

t = 6162  years

8 0
3 years ago
Let f(x) = 4x – 2 and g(x) = x + 1. Find the following function value.<br> (f - g)(-3)
Nataly [62]

Answer:

(f - g)(3) = 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 4x - 2

g(x) = x + 1

<u>Step 2: Find</u>

<em>Find (f - g)(x)</em>

  1. Substitute:                         (f - g)(x) = 4x - 2 - (x + 1)
  2. Distribute -1:                      (f - g)(x) = 4x - 2 - x - 1
  3. Combine like terms:         (f - g)(x) = 3x - 3

<em>Find (f - g)(3)</em>

  1. Substitute:                         (f - g)(3) = 3(3) - 3
  2. Multiply:                             (f - g)(3) = 9 - 3
  3. Subtract:                            (f - g)(3) = 6
8 0
2 years ago
the function y = 3.75 + 1.5(x-1) can be used to determine the cost in dollars for a taxi ride of x miles. what is the rate of ch
Nesterboy [21]
Cost for travelling 1 mile = 3.75
 cost 2 miles  = 5.25
cost 3 miles = 6.75
 cost 4 miles = 8.25

rate of change = 1.5 dollars per mile
8 0
3 years ago
Read 2 more answers
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