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Olin [163]
3 years ago
5

Help me with this please!

Mathematics
1 answer:
erastova [34]3 years ago
3 0
7 Miles Per Hour Is The Answer.
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Let the sequence {an} be defined so that a1 = 1 and each succeeding term is found by adding 3 to the one before it. Find the for
Sauron [17]

Answer:

C

Step-by-step explanation:

The sequence is arithmetic with n th term

a_n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 3, thus

a_{n} = 1 + 3(n - 1) = 1 + 3n - 3 = 3n - 2 → C

6 0
3 years ago
Find the surface area of a cylinder with radius 7 feet and height 16 feet.
quester [9]

Answer:

A = 1011..59 ft^2

Step-by-step explanation:

The radius is 7 which means the diameter is 14. so we have a height of 16 and a length of 14 feet.

6 0
3 years ago
Read 2 more answers
If a bus travels 20 km in 30 minutes. What is the average speed of the bus?
sattari [20]
<span>So we need to find the average speed of the bus that travels 20 km in 30 minutes. Average speed is defined as: Average speed=distance travelled/time taken or: v=s/t. We know s=20 km and t=30 minutes=0.5h. So after we input our numbers in the equation, we get: v=20km/0.5h=40km/h. So the correct answer is C) 40km/h.</span>
4 0
3 years ago
Read 2 more answers
Simplify the expression x^2+x-2/8x^2+4x/3x^2+10x+8
irina [24]

Answer:

Step-by-step explanation:

x² + x  - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1)  = (x-1)(x+2)

8x² + 4x = 4x ( 2x + 1)

3x² + 10x + 8 = 3x² + 6x + 4x + 4*2  =3x  * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)

6 0
3 years ago
Rationalize the denominator of $\frac{5}{2+\sqrt{6}}$. The answer can be written as $\frac{A\sqrt{B}+C}{D}$, where $A$, $B$, $C$
horrorfan [7]

Answer:

A +B+C+D  = 3 is the correct answer.

Step-by-step explanation:

Given:

$\frac{5}{2+\sqrt{6}}$

To find:

A+B+C+D = ? if given term is written as following:

$\frac{A\sqrt{B}+C}{D}$

<u>Solution:</u>

We can see that the resulting expression does not contain anything under \sqrt (square root) so we need to rationalize the denominator to remove the square root from denominator.

The rule to rationalize is:

Any term having square root term in the denominator, multiply and divide with the expression by changing the sign of square root term of the denominator.

Applying this rule to rationalize the given expression:

\dfrac{5}{2+\sqrt{6}} \times \dfrac{2-\sqrt6}{2-\sqrt6}\\\Rightarrow \dfrac{5 \times (2-\sqrt6)}{(2+\sqrt{6}) \times (2-\sqrt6)} \\\Rightarrow \dfrac{10-5\sqrt6}{2^2-(\sqrt6)^2}\ \ \ \ \   (\because \bold{(a+b)(a-b)=a^2-b^2})\\\Rightarrow \dfrac{10-5\sqrt6}{4-6}\\\Rightarrow \dfrac{10-5\sqrt6}{-2}\\\Rightarrow \dfrac{-5\sqrt6+10}{-2}\\\Rightarrow \dfrac{5\sqrt6-10}{2}

Comparing the above expression with:

$\frac{A\sqrt{B}+C}{D}$

A = 5, B = 6 (Not divisible by square of any prime)

C = -10

D = 2 (positive)

GCD of A, C and D is 1.

So, A +B+C+D = 5+6-10+2 = \bold3

5 0
3 years ago
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