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rewona [7]
2 years ago
13

Given the function F(t) = 34000(.98)' describe whether this function is growing or decaying, and by what percent. What is the in

itial value, and what might this situation represent in context?
Mathematics
1 answer:
Eduardwww [97]2 years ago
8 0

The  function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

<h3>Exponential equation</h3>

The inverse of exponential equation is logarithmic equation. The standard exponential equation is expressed as;

y = ab^x

where

a is the initial value

b determine the growth rate or decay.

If the value if b < 1, then it  is a decay otherwise it is growth.


Given the  function F(t) = 34000(.98)^t, since b = 0.98 < 1, hence the function is decaying and the initial value of the expression is 34,000.

Learn more on exponential function here: brainly.com/question/12940982

#SPJ1

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From her home, Jada would have to walk 3 miles north to get to her friend Brianna's house and 4 miles east to get to her friend
Yanka [14]

Answer: 12 miles

Step-by-step explanation: Stright from her house to luke is 5 miles back ti brianna is 4 miles and back home is 3 miles all together 5+4+3=12

6 0
3 years ago
Which equation is y = 2x2 – 8x + 9 rewritten in vertex form?
pishuonlain [190]

we have

y=2x^{2} -8x+9


Group terms that contain the same variable, and move the constant to the opposite side of the equation

y-9=2x^{2} -8x


Factor the leading coefficient

y-9=2(x^{2} -4x)


Complete the square. Remember to balance the equation by adding the same constants to each side

y-9+8=2(x^{2} -4x+4)

y-1=2(x^{2} -4x+4)


Rewrite as perfect squares

y-1=2(x-2)^{2}

y=2(x-2)^{2} +1-----> equation in vertex form


therefore


the answer is the option C

y=2(x-2)^{2} +1


3 0
3 years ago
Read 2 more answers
Which point on the number line best represents √67?
Zepler [3.9K]

Answer: C

Step-by-step explanation: The square root of 67 is 8.18

4 0
3 years ago
When the solution of x2 − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2, what is the value of r? x equ
jarptica [38.1K]

Answer:

r = 105

Step-by-step explanation:

Given quadratic equation:

x² − 9x − 6

Quadratic formula is given by:

(-b ± √b² - 4ac) ÷ 2a

For the equation: x² - 9x - 6

a = 1, b = -9 and c = -6

Substitute in the quadratic formula:

(-b ± √b² - 4ac) ÷ 2a

(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1

= 9 ± √105 / 2

The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2

Therefore, the value of r is 105

4 0
3 years ago
Using the image above, what is the measure of Side AC? Round to the nearest hundredth
Evgesh-ka [11]

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

<h3>Trigonometric Ratio</h3>

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

  • Angle = 32.9 degrees
  • Hypothenuse = 3.4

Let's use cosine rule for this.

cos\theta = \frac{adjacent}{hypothenuse}

Proceed to substitute the values into the equation and solve.

cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85

From the calculations above, the value of side AC is 2.85 units

Learn more on trigonometric ratio here;

brainly.com/question/11967894

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3 0
2 years ago
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