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patriot [66]
3 years ago
6

Weighing about a ton on their 14th birthday, the average T-Rex grew 4.6 pounds per day from the age 14 to 18 years! Write a form

ula for this arithmetic sequence.
Mathematics
1 answer:
erica [24]3 years ago
7 0

Answer:

The formula for this arithmetic sequence: a_{n}= 2000 + 4.6n

Step-by-step explanation:

As

  • weighing about a ton on their 14th birthday, weighing about a ton on their 14th birthday, the average T-Rex grew 4.6 pounds per day from the age 14 to 18 years.

Let the general term a_{n} of the arithmetic sequence represent the weight in tons of the T-Rex where n  is the number of days.

Therefore, the formula for this arithmetic sequence:

a_{n}= 2000 + 4.6n

Keywords: arithmetic sequence

Learn more about arithmetic sequence from brainly.com/question/11908808

#learnwithBrainly

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Part A Mr. Bade spends an average of $42.50 during a five-day workweek on lunch.if he eats every day during his 5-day workweek,
trasher [3.6K]

Answer:

Part A: He spends an average of $8.50 per day

Part B:  He would save $17 per week

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans
Kruka [31]

Answer:

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

Step-by-step explanation:

We want to find the Riemann sum for \int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)

where \Delta{x}=\frac{b-a}{n}.

Step 1: Find \Delta{x}

We have that a=0, b=\frac{3\pi }{4}, n=6

Therefore, \Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}

Step 2: Divide the interval \left[0,\frac{3 \pi}{4}\right] into n = 6 sub-intervals of length \Delta{x}=\frac{\pi}{8}

a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558

5 0
2 years ago
Please help this was due yesterday
lys-0071 [83]

Answer:

2) 2^8

3)7^9

4)  1/3^6

5)x^10

6) y^8

7) x^10

Step-by-step explanation:

5 0
1 year ago
Please help ASAP! Will give brainliest! Please read the question then answer correctly! No guessing.
tangare [24]

Answer:

B. $424.000

Step-by-step explanation:

The function a(t)=424(1+0.06)

5 0
2 years ago
What would the set notation for the domain and range of the function, (-3, 6), (-2, -3), and (-1, 6)
Bingel [31]

Answer:

Domain: {-3, -2, -1}

Range: {-3, 6}

General Formulas and Concepts:

  • Domain is the set of x-values that can be inputted into function f(x).
  • Range is the set of y-values that are outputted by function f(x).

Step-by-step explanation:

<u>Step 1: Define</u>

(-3, 6)

(-2, -3)

(-1, 6)

<u>Step 2: Identify x-values</u>

x = -3, -2, -1

<u>Step 3: Identify y-values</u>

y = -3, 6, 6

7 0
2 years ago
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