# 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
26.06.2019 12:30

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

gimme brainliest > : 3

25.06.2019 13:00

x= -3 and $$x=\frac{-3+/-3i\sqrt{3} }{2}$$

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

$$(x^3-a^3)=$$$$(x-a)(x^2+ax+a^2)$$

where a is the cube root of $$a^3$$.

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

$$(x-3)(x^2+(3)x+3^2)\\(x-3)(x^2+3x+9)$$.

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.

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

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

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

this cubic has two complex roots.

23.06.2019 03:00

i would have to say it is c.

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)

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

(b) (5363 × 102) × (7.4 × 103)

(c) 28.0 ÷ 13.483

(d) 8119 × 0.000023

(e) 14.98 + 27,340 + 84.7593

(f) 42.7 + 0.259

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

(b) (5363 × 102) × (7.4 × 103)

(c) 28.0 ÷ 13.483

(d) 8119 × 0.000023

(e) 14.98 + 27,340 + 84.7593

(f) 42.7 + 0.259

12.10.2020 12:39

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

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.

(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.

(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.

(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.

(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.

(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.

(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.

(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.

12.10.2020 12:39

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

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.

(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.

(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.

(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.

(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.

(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.

(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.

(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.

12.10.2020 12:39

410-52=360

3.054+1.16=4.21

Step-by-step explanation:

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 !!

27.06.2020 04:45
1.) 358

2.) 4.214
27.06.2020 04:45

410 - 52 = 358 and 3.054 + 1.16 = 4.214

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