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3 years ago

Round 7.21 divided by 7 to the nearest tenth

1 answer:

8 0

1 is the answer.

The exact answer is 1.03, but we have to round it to the nearest tenth which is 0 because 3 is less than 5.

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What is the recursive formula for this arithmetic sequence 6, -24, 96, -384

Artemon [7]

Answer:

Option A. $a_{1} =6$ $a_{n}= a_{n-1}(-4)$

Step-by-step explanation:

The given sequence in the question is 6,-24,96,-384.......n

and we have to give the recursive formula for this arithmetic sequence.

We can re write the sequence to make it more simpler

6,6(-4),(-24)(-4),(96)(-4).......n terms

Now we can say $a_{1} = 6$

and $a_{n}= a_{n-1}(-4)$

Therefore the recursive formula of the sequence is $a_{1} = 6$

$a_{n}= a_{n-1}(-4)$

7 0

3 years ago

Answer the questions please

Drupady [299]

Answer:

4. 988 people

5. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

1. $65.65, $5.05

2. $7.70, $15.40

3. a. 7 quarters

b. 6 quarters 2 dimes 1 nickel

c. 5 quarters 5 dimes

d. 4 quarters 7 dimes 1 nickel

4. 31 bags

5. $30, $4.50

Step-by-step explanation:

4. take value times percent.

5. think coins

1. find difference then divide by number of days (13)

2. multiply by 1/3 then find difference.

3. think coins

4. find area then divide by 200

5. just break the problem down and go quarter by quarter.

4 0

3 years ago

(6x^3 + 18x^2)– 3x^2 =

Debora [2.8K]

https://www.wolframalpha.com/

5 0

3 years ago

PLEASE HELP MEE

KATRIN_1 [288]

Answer:

I'm only going to find the value of each variable

Step-by-step explanation:

V,Z,W,Y=39

X=94

Sorry, I didn't know how to explain the relevant angle relationships. '-' :(

8 0

2 years ago

Find the numbers b such that the average value of f(x) = 7 + 10x − 9x2 on the interval [0, b] is equal to 8.

barxatty [35]

Answer:

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

Step-by-step explanation:

The mean value of function within a given interval is given by the following integral:

$\bar f = \frac{1}{b-a}\cdot \int\limits^b_a {f(x)} \, dx$

If $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ , $a = 0$ , $b = b$ and $\bar f = 8$ , then:

$\frac{1}{b}\cdot \int\limits^b_0 {7+10\cdot x -9\cdot x^{2}} \, dx = 8$

$\frac{7}{b}\int\limits^b_0 \, dx + \frac{10}{b} \int\limits^b_0 {x}\, dx - \frac{9}{b} \int\limits^b_0 {x^{2}}\, dx = 8$

$\left(\frac{7}{b} \right)\cdot b + \left(\frac{10}{b} \right)\cdot \left(\frac{b^{2}}{2} \right)-\left(\frac{9}{b} \right)\cdot \left(\frac{b^{3}}{3} \right) = 8$

$7 + 5\cdot b - 3\cdot b^{2} = 8$

$3\cdot b^{2}-5\cdot b +1 = 0$

The roots of this polynomial are determined by the Quadratic Formula:

$b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

The numbers $b$ such that the average value of $f(x) = 7 +10\cdot x - 9\cdot x^{2}$ on the interval [0, b] is equal to 8 are $b_{1} \approx 1.434$ and $b_{2} \approx 0.232$ .

7 0

3 years ago