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3 years ago

Round 7,782 to the nearest ten hundread

Mathematics

2 answers:

tensa zangetsu [6.8K]2 years ago

8 0

8,000

That is because 7 is larger than 5, so we round up.

Answer: 8,000

fgiga [73]3 years ago

6 0

It would be 8,000...
7 ---> up a value which is 8
(7+1=8)
When we're doing these type of problems always look carefully at the value the problem is asking, in this case ten hundredth which is the 7
Hope that helps!

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The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term

Salsk061 [2.6K]

Answer:

The first three terms of the geometry sequence would be $1$ , $5$ , and $25$ .

The sum of the first seven terms of the geometric sequence would be $127$ .

Step-by-step explanation:

Let $d$ denote the common difference of the arithmetic sequence.

Let $a_1$ denote the first term of the arithmetic sequence. The expression for the $n$ th term of this sequence (where $n\!$ is a positive whole number) would be $(a_1 + (n - 1)\, d)$ .

The question states that the first term of this arithmetic sequence is $a_1 = 1$ . Hence:

The third term of this arithmetic sequence would be $a_1 + (3 - 1)\, d = 1 + 2\, d$ .
The thirteenth term of would be $a_1 + (13 - 1)\, d = 1 + 12\, d$ .

The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let $r$ denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

$\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d$ .

Ratio between the third term and the second term of the geometric sequence:

$\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}$ .

Both $(1 + 2\, d)$ and $\left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right)$ are expressions for $r$ , the common ratio of this geometric sequence. Hence, equate these two expressions and solve for $d$ , the common difference of this arithmetic sequence.

$\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}$ .

$(1 + 2\, d)^{2} = 1 + 12\, d$ .

$d = 2$ .

Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be $1$ , $(1 + (3 - 1) \times 2) = 5$ , and $(1 + (13 - 1) \times 2) = 25$ , respectively.

These three terms ( $1$ , $5$ , and $25$ , respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be $r = 25 /5 = 5$ .

Let $a_1$ and $r$ denote the first term and the common ratio of a geometric sequence. The sum of the first $n$ terms would be:

$\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}$ .

For the geometric sequence in this question, $a_1 = 1$ and $r = 25 / 5 = 5$ .

Hence, the sum of the first $n = 7$ terms of this geometric sequence would be:

$\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}$ .

7 0

2 years ago

What is 85% of 2500 meters

ladessa [460]

<span>2500*0.85=2125 meters</span>

4 0

3 years ago

Write the equation of the line with a slope of 5 and a y-intercept of (0, -3)

Drupady [299]

Answer:

y = 5x - 3

Step-by-step explanation:

equation of a straight line is <em>y = mx + b </em>where m=slope and b=y-intercept

in this case m=5 and b= -3

y = mx + b

y = 5x - 3

6 0

2 years ago

Submarine a is position at -1100 feet in relation to sea level. Submarine be is position at -800 feet in relation to sea level.

Natasha_Volkova [10]

Answer:

<u>Submarine A needs to travel at 30 feet per minute and the Submarine B at a lower speed, 20 feet per minute. </u>

Step-by-step explanation:

This is the information given to solve the question:

Submarine A position = - 1,100 feet

Submarine B position = - 800 feet

New position for Submarine A and B = - 200 feet

Duration of the travel = 30 minutes

Distance that Submarine A need to travel = - 200 + 1,100 = 900 feet

Distance that Submarine B need to travel = - 200 + 800 = 600 feet

For calculating the speed, we do this new calculation:

Speed Submarine A = Distance that Submarine A need to travel/Duration of the travel

Speed Submarine A = 900 feet/30 minutes

Speed Submarine A = 30 feet/minute (Dividing by 30)

Speed Submarine B = 600 feet/30 minutes

Speed Submarine B = 20 feet/minute (Dividing by 30)

<u>Submarine A needs to travel at 30 feet per minute and the Submarine B at a lower speed, 20 feet per minute. </u>

7 0

3 years ago

Read 2 more answers

residents in r county can use the expression (v × 0.5501 - 4800) ÷ (1000 × 34.67) what is the property tax on a $190000. home?

alexandr1967 [171]

Given:

Property-tax in thousands of dollars

tax(v)=(v × 0.5501 - 4800) ÷ (1000 × 34.67)

where v=valuation of the property

for v=190000,

tax(190000)=(190000*0.5501-4800)/(1000*34.67) = 2.876 (in 1000$)

So property tax = $2876

7 0

3 years ago