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Viefleur [7K]
3 years ago
13

The problem is in the picture.

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

  • an = 5 + 10(n -1)
  • a7 = 65

Step-by-step explanation:

The explicit formula for the n-th term of an arithmetic sequence is ...

  an = a1 + d(n -1)

where a1 is the first term and d is the common difference.

The sequence of seat counts has a1=5 and d=10, so the explicit formula is ...

  an = 5 +10(n -1)

___

The 7th term is ...

  a7 = 5 +10(7 -1) = 65

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What is the value ?????
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Cos x = 15÷17
because cos is adjacent side over hypotenuse.
6 0
3 years ago
A pennant is a shape of a triangle has a base of 12 inches and a height of 30 inches. What the area of the pennant?
Korolek [52]

Answer:

180 square inches

Step-by-step explanation:

Area, A is given by A=0.5bh where b is base and h is height. Since both of these dimensions are provided then we substitute the given figures into the formula. Substituting 12 inches for base, b and 30 inches for height, h then the area will be equivalent to

A=0.5*12*30=180 square inches.

Therefore, the area of the described triangle is 180 square inches.

6 0
3 years ago
The first term of a geometric sequence is 300 and the common ratio is 2 What is the 7th term of the sequence
xxMikexx [17]

Step-by-step explanation:

s1 = 300

s2 = s1 × 2 = 300 × 2 = 600

s3 = s2 × 2 = s1 × 2² = 1200

sn = sn-1 × 2 = s1 × 2^(n-1)

s7 = 300 × 2⁶ = 300 × 64 = 19,200

3 0
2 years ago
A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s
Artemon [7]

Answer:

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age  \leq 3}\end{array}\right

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \  \leq  age   \leq  1 }\\{ 0 \  \leq  age   \leq  2 }\\{0 \  \leq  age   \leq 3}\end{array}\right]

Also , the age transition matrix is as follows:

L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]

After 1 year ; the age distribution vector will be :

x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]  \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]

= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right]  \left \begin{array}{ccc}{0 \  \leq  age   \leq 1 }\\{ 1 \  \leq  age   \leq  2 }\\{2 \  \leq  age   \leq  3}\end{array}\right

6 0
3 years ago
Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry
Tanya [424]

9514 1404 393

Answer:

  $27.54

Step-by-step explanation:

The straightforward way to do this is to compute the tax and total on each amount, then add those together. There is an easier way.

  ($12.50 + 0.08·12.50) + ($13.00 + 0.08·13.00) = $12.50·1.08 +13.00·1.08

  = 1.08($12.50 +13.00)

  = 1.08·$25.50

  = $27.54

Together, Ron and Harry paid a total of $27.54.

6 0
2 years ago
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