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Alex17521 [72]
3 years ago
5

Sally begins hiking at an elevation of 224 ft then she descends 131 ft and climbs 67 feet higher than her current position she t

hen descends 163 ft write an addition sentence to describe the situation then determine and interpret the sum
Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

Sally ends at 3 feet below zero point.

Step-by-step explanation:

Let be h the height with respect to zero point, which is represented by the following sum:

h = \Sigma_{i=1}^{n} h_{i}

Where:

h_{i} - i-th travelled height, measured in feet.

In addition, positive sign means ascension, whereas negative sign means descent.

The statement can be translated into the following mathematical identity:

h = h_{1}+h_{2}+h_{3}+h_{4}

h = 224\,ft+(-131\,ft)+67\,ft -163\,ft

h = -3\,ft

Sally ends at 3 feet below zero point.

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Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind
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Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

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27 + 9a + 3b + 4 = 10

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9a + 3b = - 21 → (1)

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- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

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Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

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3 years ago
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
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Step-by-step explanation:

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3 years ago
Can anybody please help me on this
Digiron [165]

Answer:

The length of AA' = √29 = 5.39

Step-by-step explanation:

* Lets revise how to find the length of a line joining between

 any two points in the coordinates system

- If point A is (x1 , y1) and point B is (x2 , y2)

- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]

* Lets use this rule to solve the problem

∵ Point A is (0 , 0)

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∵ (x2 - x1)² = (5 - 0)² = 5² = 25

∵ (y2 - y1)² = (2 - 0)² = 2² = 4

∴ The length of AA' = √(25 + 4) = √29 = 5.39

6 0
3 years ago
Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an
Mashutka [201]

Answer:

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For the Interval 1\leq x\leq 8

Length of the Curve =\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\

Using T1-Calculator

=\sqrt\frac{387}{20}

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3 years ago
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