Solve the problems. Express each answer to the correct number of significant figures.
Type the correct answer in each box.
410 - 52 =
3.054 + 1.16 =

henrymototero   ·   09.04.2020 19:42
ANSWER(S)
answered: arnold2619
26.06.2019 12:30

answer: the answer is simply nothing.

step-by-step explanation: because there is no ending to this question

gimme brainliest > : 3

25.06.2019 13:00

x= -3 and [tex]x=\frac{-3+/-3i\sqrt{3} }{2}[/tex]

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

[tex](x^3-a^3)=[/tex][tex](x-a)(x^2+ax+a^2)[/tex]

where a is the cube root of [tex]a^3[/tex].

here   this is 27 and the cube root of 27 is 3. so we write using the form:

[tex](x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)[/tex].

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

where a = 1, b=3, and c=9

[tex]x=\frac{-3+/-\sqrt{3^2-4(1)(9)} }{2(1)} \\x=\frac{-3+/-\sqrt{9-36)} }{2} \\x=\frac{-3+/-\sqrt{-27)} }{2}\\x=\frac{-3+/-3i\sqrt{3} }{2}[/tex]

this cubic has two complex roots.

answered: dtbrooks4792
23.06.2019 03:00

i would have to say it is c.

Anew book is published and the table shows the number of people who showed up for a book signing in
answered: jimena15
12.10.2020 12:39

Explanation:

a) 2135.2 ⇒ 2100(rounding to two significant figures)

b) 0.1656⇒0.166 ( rounding to 3 digits after decimal)

c) 6469.12⇒6500(rounding to 2 significant figures)

d) 14.2345 ⇒14.23(rounding to two digits after decimal)

e) 0.9184⇒  .918(rounding to 3 significant figures)

f) 147.694 ⇒147.69 (rounding to 2 digits after decimal)

g)28.6517⇒28.7(rounding to one digit after decimal)

h).0206⇒ .02( rounding to one significant digit)

answered: naz731
12.10.2020 12:39

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

(a) 628 × 342

628\times 342=214776=2.15\times 10^5

The correct answer is, 2.15\times 10^5

(b) (5363 × 102) × (7.4 × 103)

(5363\times 102)\times(7.4\times 103)=547026\times 762.2=(5.47\times 10^5)\times (7.6\times 10^2)=41.572\times 10^7=4.2\times 10^8

The correct answer is, 4.2\times 10^8

(c) 28.0 ÷ 13.483

\frac{28.0}{13.483}=2.08

The correct answer is, 2.08

(d) 8119 × 0.000023

8119\times 0.000023=0.186737=1.9\times 10^{-1}

The correct answer is, 1.9\times 10^{-1}

(e) 14.98 + 27,340 + 84.7593

14.98+27340+84.7593=27439.7393=2.744\times 10^4

The correct answer is, 2.744\times 10^4

(f) 42.7 + 0.259

42.7+0.259=42.959=43.0=4.30\times 10^1

The correct answer is, 4.30\times 10^1

answered: lucyamine0
12.10.2020 12:39

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

(a) 628 × 342

628\times 342=214776=2.15\times 10^5

The correct answer is, 2.15\times 10^5

(b) (5363 × 102) × (7.4 × 103)

(5363\times 102)\times(7.4\times 103)=547026\times 762.2=(5.47\times 10^5)\times (7.6\times 10^2)=41.572\times 10^7=4.2\times 10^8

The correct answer is, 4.2\times 10^8

(c) 28.0 ÷ 13.483

\frac{28.0}{13.483}=2.08

The correct answer is, 2.08

(d) 8119 × 0.000023

8119\times 0.000023=0.186737=1.9\times 10^{-1}

The correct answer is, 1.9\times 10^{-1}

(e) 14.98 + 27,340 + 84.7593

14.98+27340+84.7593=27439.7393=2.744\times 10^4

The correct answer is, 2.744\times 10^4

(f) 42.7 + 0.259

42.7+0.259=42.959=43.0=4.30\times 10^1

The correct answer is, 4.30\times 10^1

answered: dianactorres
12.10.2020 12:39

Answer :

(a) 2.1\times 10^3

(b) 1.7\times 10^{-1}

(c) 6.5\times 10^3

(d) 1.42\times 10^{1}

(e) 9.18\times 10^{-1}

(f) 1.48\times 10^{2}

(g) 2.9\times 10^{1}

(h) 2.06\times 10^{2}

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

(a) The given expression is: 62.8 × 34

62.8 × 34 = 2135.2

In the given expression, 62.8 has 3 significant figures and 34 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

The answer will be, 2.1\times 10^3

(b) The given expression is: 0.147 + 0.0066 + 0.012

0.147 + 0.0066 + 0.012 = 0.1656

In the given expression, 0.147 has 3 significant figures, 0.0066 has 2 significant figure and 0.012 has 2 significant figures. From this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.7\times 10^{-1}

(c) The given expression is: 38 × 95 × 1.792

38 × 95 × 1.792 = 6469.12

In the given expression, 38 and 95 has 2 significant figures and 1.792 has 4 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

The answer will be, 6.5\times 10^3

(d) The given expression is: 15 - 0.15 - 0.6155

15 - 0.15 - 0.6155 = 14.2345

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.42\times 10^{1}

(e) The given expression is: 8.78 × (0.0500 ÷ 0.478)

8.78 × (0.0500 ÷ 0.478) = 0.91841

In the given expression, 8.78 and 0.478 has 3 significant figures and 0.0500 has 3 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

The answer will be, 9.18\times 10^{-1}

(f) The given expression is: 140 + 7.68 + 0.014

140 + 7.68 + 0.014 = 147.694

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.48\times 10^{2}

(g) The given expression is: 28.7 - 0.0483

28.7 - 0.0483 = 28.6517

In the given expression, from this we conclude that 1 is the least significant figures after decimal in this problem. So, the answer should be in 1 significant figures.

The answer will be, 2.9\times 10^{1}

(h) The given expression is: (88.5 - 87.57) ÷ 45.13

(88.5 - 87.57) ÷ 45.13 = 0.02061

In the given expression, 88.5 has 3 significant figures, 87.57 has 4 significant figures and 45.13 has 4 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

The answer will be, 2.06\times 10^{2}

answered: knowingwhat
12.10.2020 12:39

Answer :

(a) 2.1\times 10^3

(b) 1.7\times 10^{-1}

(c) 6.5\times 10^3

(d) 1.42\times 10^{1}

(e) 9.18\times 10^{-1}

(f) 1.48\times 10^{2}

(g) 2.9\times 10^{1}

(h) 2.06\times 10^{2}

Explanation :

Significant figures : The figures in a number which express the value -the magnitude of a quantity to a specific degree of accuracy is known as significant digits.

The rule apply for the multiplication and division is :

The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

The rule apply for the addition and subtraction is :

The least precise number present after the decimal point determines the number of significant figures in the answer.

(a) The given expression is: 62.8 × 34

62.8 × 34 = 2135.2

In the given expression, 62.8 has 3 significant figures and 34 has 2 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

The answer will be, 2.1\times 10^3

(b) The given expression is: 0.147 + 0.0066 + 0.012

0.147 + 0.0066 + 0.012 = 0.1656

In the given expression, 0.147 has 3 significant figures, 0.0066 has 2 significant figure and 0.012 has 2 significant figures. From this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.7\times 10^{-1}

(c) The given expression is: 38 × 95 × 1.792

38 × 95 × 1.792 = 6469.12

In the given expression, 38 and 95 has 2 significant figures and 1.792 has 4 significant figures. From this we conclude that 2 is the least significant figures in this problem. So, the answer should be in 2 significant figures.

The answer will be, 6.5\times 10^3

(d) The given expression is: 15 - 0.15 - 0.6155

15 - 0.15 - 0.6155 = 14.2345

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.42\times 10^{1}

(e) The given expression is: 8.78 × (0.0500 ÷ 0.478)

8.78 × (0.0500 ÷ 0.478) = 0.91841

In the given expression, 8.78 and 0.478 has 3 significant figures and 0.0500 has 3 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

The answer will be, 9.18\times 10^{-1}

(f) The given expression is: 140 + 7.68 + 0.014

140 + 7.68 + 0.014 = 147.694

In the given expression, from this we conclude that 2 is the least significant figures after decimal in this problem. So, the answer should be in 2 significant figures.

The answer will be, 1.48\times 10^{2}

(g) The given expression is: 28.7 - 0.0483

28.7 - 0.0483 = 28.6517

In the given expression, from this we conclude that 1 is the least significant figures after decimal in this problem. So, the answer should be in 1 significant figures.

The answer will be, 2.9\times 10^{1}

(h) The given expression is: (88.5 - 87.57) ÷ 45.13

(88.5 - 87.57) ÷ 45.13 = 0.02061

In the given expression, 88.5 has 3 significant figures, 87.57 has 4 significant figures and 45.13 has 4 significant figures. From this we conclude that 3 is the least significant figures in this problem. So, the answer should be in 3 significant figures.

The answer will be, 2.06\times 10^{2}

answered: ramosramos142
12.10.2020 12:39

410-52=360

3.054+1.16=4.21

Step-by-step explanation:

answered: shawdyylinda
12.10.2020 12:39

(a). 0.2% (b). 0.4%

Step-by-step explanation:

This is quite straightforward, so let us follow this carefully.

(a) let us consider the expression that was given in the question;

(8.47 + 0.06)1/3 from the binomial expression,

⇒  (x + ∆x)n = xn + nxn-1∆x

So using the stated formula above

(8.47 + 0.06)1/3 = (8.47)1/3+ 1/3(8.47)1-(1/3) (0.06) = 2.038 + 1/3(8.47)(2/3) (0.06)

= 2.038 + 0.005

This gives us the algebric value as x = 2.038

Also, the uncertainity is ∆x = 0.005

Let us calculate the percentage of relative uncertainity;

Relative uncertainity percent is given thus;

⇒ (∆x / x) * 100

= (0.005 / 2.038) * 100 = 0.2%

We have that the relative uncertainity percent is 0.2%

(b). Also we will consider the expression;

log(6.56 + 0.05)

Let us apply the binomial expression to this;

log(6.56 + 0.05) = log(6.56) + ((0.05)2 / 6.56) = 0.817 + 0.003

This makes the algebric value of x = 0.817

and the uncertainity is  ∆x = 0.003

Therefore the Relative uncertainity percent is = (∆x / x) * 100

= (0.003 / 0.817) * 100 = 0.4%

We have the relative uncertainity percent as 0.4%

cheers I hope this helped !!

answered: cmfield8810
27.06.2020 04:45
1.) 358

2.) 4.214
answered: Bg88860709
27.06.2020 04:45

410 - 52 = 358 and 3.054 + 1.16 = 4.214

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