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Afina-wow [57]
3 years ago
8

16 POINTS!!! HELP ASAP

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

The answer is 358.01

Step-by-step explanation:

Given:

3\times 10^{2}+5\times 10^{1}+8\times 10^{0}+1\times \frac{1}{10^{2}}

Now, to solve first we crack the power notation then multiply and then do the addition:

3\times 100+5\times 10+8\times 1+1\times \frac{1}{100}

(The value of 10^{1} is 10 and the value of 10^{0} is 1.)

=300+50+8+\frac{1}{100}

=300+50+8+0.01

=358.01.

Therefore, the answer is 358.01 .

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Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
Orlov [11]

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by 4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

4 0
3 years ago
In a basketball game 15 of 20 foul shots that Michelle attempted were successful. What percent of her shots were not successful?
mestny [16]
<u>Work 1:</u>
   Successful Percent:

     15 divided by 20 equals .75
     .75 times 100 is equal to 75
     75%
   Not successful Percent:
     
100% minus 75% equals 25%
     <em>25%</em>
<u>Work 2:</u><u />
     20 minus 15 equals 5
     5 divided by 20 is equal to .25
     .25 times 100 is equal to 25
     <em>25%</em>
7 0
3 years ago
A shoe store sold 30 pairs of tennis shoes in stock. One week they had a sale and sold 8/10 of the shoes. How many pairs of tenn
Veseljchak [2.6K]

Answer:

24

Step-by-step explanation:

simplify 8/10 into 2/5 then 2/5 of 30 is 24

3 0
3 years ago
I need help? With proof for this one.
Schach [20]

Answer:

See below.

Step-by-step explanation:

ABC is an isosceles triangle with BA = BC.

That makes angles A and C congruent.

ABD is an isosceles triangle with AB = AD.

That makes angles ABD and ADB congruent.

Since m<ABD = 72 deg, then m<ADB = 72 deg.

Angles ADB and CDB are a linear pair which makes them supplementary.

m<ADB + m<BDC = 180 deg

72 deg + m<BDC = 180 deg

m<CDB = 108 deg

In triangle ABD, the sum of the measures of the angles is 180 deg.

m<A + m<ADB + m<ABD = 180 deg

m<A + 72 deg + 72 deg = 180 deg

m<A = 36 deg

m<C = 36 deg

In triangle BCD, the sum of the measures of the angles is 180 deg.

m<CBD + m<C + m<BDC = 180 deg

m<CBD + 36 deg + 108 deg = 180 deg

m<CBD = 36 deg

In triangle CBD, angles C and CBD measure 36 deg making them congruent.

Opposite sides DB and DC are congruent making triangle BCD isosceles.

3 0
3 years ago
Write an equivalent fraction for each whole number 6, 8, 4, 3, 1, 5
Y_Kistochka [10]
6 = 12/2
8 = 24/3
4 = 16/4
3 = 18/6
1 = 9/9
5 = 25/5
8 0
3 years ago
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