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Ipatiy [6.2K]
3 years ago
10

What is the pattern of 99,999

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0
There all kinds so it would keep going on with nines
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A local company rents a moving truck for $750 plus $0.59 per mile driven over 1000 mi. What is the maximum number of miles the t
Katen [24]

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Further explanation:

Given:

A local company rents a moving truck for \$ 750.

Rent per mile is \$ 0.59 if the truck moves more than 1000 miles.

Explanation:

The rental cost of the truck is \$ 750 if he drove less than 1000 miles.

{\text{Cost}} = \$ 750{\text{   }}x \leqslant 1000

The rental cost of the truck can be expressed as follows,

{\text{Cost}} = 750 + 0.59x{\text{  }}x > 1000

The rental cost is at most \$1000.

750 + 0.59x \leqslant 1000

The maximum number of miles can be obtained as follows,

\begin{aligned}0.59x &\leqslant 1000 - 750\\0.59x &\leqslant 250\\x &\leqslant \frac{{250}}{{0.59}}\\x &\leqslant 423.7\\\end{aligned}

The maximum number of miles can be obtained as follows,

\begin{aligned}{\text{Maximum miles}} &= 1000 + 423\\&= 1423 \\\end{aligned}

The maximum number of miles the truck can be driven so that the rental cost is at most \$1000 is \boxed{1423{\text{ miles}}}.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequality

Keywords: local company, rents, moving, truck, $750, $0.59, maximum, 1000 miles, $1000, at most, at least, number of miles, rental cost, driven over  

3 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 33 centimeters. The first side is 5 centimeters shorter than the second, and the third is twice t
Law Incorporation [45]

first side is 7cm

second is 12cm

third is 14cm

3 0
3 years ago
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Burka [1]

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.

4 0
3 years ago
Prove that sinA-sin3A+sin5A-sin7A/cosA-cos3A-cos5A+cos7A= cot2A
MAVERICK [17]
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.

We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)

N = -(sin7A - sinA) + sin5A - sin3A
    = -2cos4A*sin3A + 2cos4A*sinA
    = 2cos4A(sinA - sin3A)
    = 2cos4A*2cos(2A)sin(-A)
    = -4cos4A*cos2A*sinA

D = cos7A + cosA - (cos5A + cos3A)
   = 2cos4A*cos3A - 2cos4A*cosA
   = 2cos4A(cos3A - cosA)
   = 2cos4A*(-2)sin2A*sinA
   = -4cos4A*sin2A*sinA

Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
       = cos2A/sin2A
      = cot2A

This verifies the identity.
4 0
3 years ago
Solve for x in the equation.
oksano4ka [1.4K]
x^2 + 20x + 100 = 36

(x + 10)^2 = 36

x + 10 = \pm \sqrt{36}

x + 10 = 6   or   x + 10 = -6

x = -4   or   = -16
5 0
3 years ago
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