You are given that a = 6.54 (to 3 significant figures) and b = 123 (to 3 significant figures).
Calculate upper and lower bounds for each of the following, give your answers to 3 significant figures:
(a) a + b
(b) ab
(c) a/b
(d) b - 1/a

Answers

Answer 1

The upper and lower bounds for the numbers are illustrations of approximation

How to calculate the upper and lower bounds

The numbers are given as:

a = 6.54 (to 3 significant figures)

b = 123 (to 3 significant figures)

(a) a + b

We have:

a + b = 6.54 + 123

a + b = 129.54

When approximated, the bounds to three significant digits are:

Lower bound = 129

Upper bound = 130.1

(b) ab

We have:

ab = 6.54 * 123

a + b = 804.42

When approximated, the bounds to three significant digits are:

Lower bound = 804

Upper bound = 805

(c) a/b

We have:

a/b = 6.54/123

a/b = 0.0531707317

When approximated, the bounds to three significant digits are:

Lower bound = 0.0531

Upper bound = 0.0532

(d) b - 1/a

We have:

b - 1/a = 123 - 1/6.54

b - 1/a = 122.847094801

When approximated, the bounds to three significant digits are:

Lower bound = 122

Upper bound = 123

Read more about approximation at:

https://brainly.com/question/10171109


Related Questions

The length of the base of an isosceles triangle is x. The length of a leg is 5x – 3. The perimeter of the triangle is 60. Find x.
X

Answers

Answer:  x = 6

Step-by-step explanation:

The perimeter of the isosceles triangle = 2 leg + base

Since the perimeter = 60

then 60 = 2(5x - 3) + x

       60 = 10x - 6 + x

 60 + 6 = 11x

         6 = x

         

Answer: x = 6

Step-by-step Explanation:

The legs are both the same so 2(5x - 3) accounts for both. Then add x and simplify.

10x - 6 + x

11x - 6

Set equal to 60

11x - 6 = 60

11x = 66

x = 6

Find the difference (7-3t) - 5(-1.6t + 5)

Answers

Answer:

5t - 18

Step-by-step explanation:

STEP 1: Simplify 8/5

equation at end-                                                                                                           8 (7 - 3t) -  (5 • ((0 -  (— • t)) +  5)) 5          

STEP 2:          2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  5  as the denominator :

      5     5 • 5

   5 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

\2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

-8t + 5 • 5     25 - 8t

———————————  =  ———————

EQUATION AT END:  (25 - 8t)

 (7 - 3t) -  (5 • —————————)

                      5    

STEP 3:  (7 - 3t) -  (25 - 8t)

solve 8(m - 5 ) = 48
solve x + 7 = 13
solve 3h - 5 = 12

please answer with an explanation
giving 30 points

Answers

Answer

[tex]1)8(m -5 ) = 48 \\ 8m - 40 = 48 \\ 8m = 48 + 40 \\ 8m = 88 \\ \frac{8m}{8} = \frac{88}{8} \\ m = 11[/tex]

[tex]2)x + 7 = 13 \\ x = 13 - 7 \\ x = 6[/tex]

[tex]3)3h - 5 = 12 \\ 3h = 12 + 5 \\ 3h = 17 \\ \frac{3h}{3} = \frac{17}{3} \\ h = 5 \frac{2}{3} [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer:

m=11, x=6, h=5 2/3

Step-by-step explanation:

8(m-5) = 48

m-5 = 48/8 = 6

m = 6+5 = 11

m = 11

x + 7 = 13

x = 13-7 = 6

x = 6

3h - 5 = 12

3h = 12 + 5 = 17

h = 17/3 = 5 2/3 or 5.67

PLEASEEE HELPPP………….

Answers

y= -1/7x - 3 :))))))))))))

PLEASE HELP ME !!!!!! EASY!!!!

Answers

Answer:

JL = √38.

a = 1 and b = 38.

Step-by-step explanation:

Using Pythagoras:

(JL)^2 = (√8)^2 + (√30)^2

(JL)^2 = 8 + 30 = 38.

JL = √38.

Help this is due tmr!!

Answers

Answer:

A is correct

Step-by-step explanation:

Write the equation of a line that passes the point (-6,9)and is perpendicular to a line that passes through the points (-2,1) and (6,7).

Answers

Answer:  y = -(4/3)x + 1

Step-by-step explanation:

Let's start with finding an equation of a straight line (y=mx+b) that goes through points (-2,1) and (6,7).

The slope of a line, m, is the change in y for the change in x, or Rise/Run.

This is derived from the two points.

Rise (7-1) = 6

Run (6 - (-2)) = 8

Rise/Run = 6/8 or 3/4

The line is therefore y = (3/4)x + b

Find b by using one of the two points.  I'll use (-2,1), but the other would also work.

y = (3/4)x + b

1 = (3/4)(-2) + b

1 = -(6/4) + b

b = 10/4

The line becomes y = (3/4)x + 10/4

--------

A line perpendicular to this will have a slope that is the negative inverse of the original line.  The negative inverse of (3/4) is -(4/3).

The perpendicular line will be:

y = -(4/3)x + b

Use point (-6,9) to find b:

y = -(4/3)x + b

9 = -(4/3)*(-6) + b

9 = (24/3) + b

b = (27/3 - 24/3) = 3/3 = 1

The line is y = -(4/3)x + 1

Solve all these correct to get brainliest!
Basic algebra 1:
x+4=11
Basic algebra 2:
x+3=24
Basic algebra 3:
4x=12
Basic algebra 4:
5x+3=33
Basic algebra 5:
8x+5=3x+20
Algebra basic fractions 1:
[tex]\frac{1}{2} x=4[/tex]
Algebra basic fractions 2:
[tex]\frac{4}{3} x=4[/tex]
Algebra basic fractions 3:
[tex]2x+-4=8[/tex]
Algebra basic fractions 4:
[tex]\frac{1}{3} x+\frac{1}{2}x=20[/tex]
Algebra basic fractions 5:
[tex]\frac{1}{3} x=\frac{1}{5} x+10[/tex]

Answers

Answer:

1) x + 4 = 11

Subtract 4 on both sides, to get x = 7 .

2) x + 3 = 24

Subtract 3 on both sides, to get x = 21 .

3) 4x = 12

Divide 4 on both sides, to get x = 3 .

4) 5x + 3 = 33

First subtract 3 on both sides to get

5x = 30, now divide 5 on both sides, to

get x = 6 .

5) 8x + 5 = 3x + 20

First subtract 5 from 20 in order to

move it, now you have 8x = 3x + 15 .

Next subtract 3x from 8x in order to

move it, now you have 5x = 15 . Lastly

divide 5 on both sides, to get x = 3 .

1) 1/2 x = 4

Multiply both sides by 2, to get 1x = 8,

or x = 8 .

2) 4/3 x = 4

Multiply both sides by 3, to get 4x = 12 .

Next divide 4 on both sides to get

x = 3 .

3) 2x + (-4) = 8

Add 4 on both sides, to get 2x = 12 .

Next divide 2 on both sides to get

x = 6 .

4) 1/3 x + 1/2 x = 20

First multiply the denominators to get a

common denominator of 6 and then

add 3 and 2, to get the numerator. Now

you have 5/6 x = 20 . Next multiply 6

on both sides to get 5x = 120 . Lastly

divide 5 on both sides to get x = 24 .

5) 1/3 x = 1/5 x + 10

First multiply the denominator to get a

common denominator of 15 and then

subtract 3 from 5 to get the numerator.

Now you have 2/15 x = 10 . Next

multiply 15 on both sides to get

2x = 150. Lastly divide 2 on both sides

to get x = 75 .

Hope this helped :)

Btw sorry it's so long.

Answer:

For to the be the studip

Step-by-step explanation:

Yes, give man brainiest

The equations -6x + 3y = 6 and x² + y = 10 intersect at the
coordinates (a, b) and (c,d).
(Hint: (a, b) is in Quadrant III)
What is the value of a?
What is the value of b?
What is the value of c?
What is the value of d?

Answers

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6  ---(eq 1)

x² + y = 10 ---(eq 2)

We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x²  --(eq 3)

Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; https://brainly.com/question/15165519

hi please help me with number one:)

Answers

Answer:

(0,-1); (0,-2); (2,0); (2,-2)

Step-by-step explanation:

when rotating 180 degrees all the points have their coordinate sign's flipped.

so the points go from:

(0,1) --> (0,-1)

(0,2) --> (0,-2)

(-2,0) --> (2,0)

(-2,2) --> (2,-2)

so your new shape will have the points (0,-1); (0,-2); (2,0); (2,-2)

Two friends live 15 miles apart. One day, they decide to jog and meet each other. Tanya leaves her house and heads east, jogging at a rate of 2.5 miles per hour. At the same time Kelly leaves her house and heads west, jogging at a rate of 3.5 miles per hour. How long does it take for the two to meet?

Answers

Answer:

1000

Step-by-step explanation:

Answer: 1000

Step-by-step explanation:

Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%. What was the cost of the sweatshirt before tax?

Answers

Answer:$25.00

Step-by-step explanation:

Net Amount (excluding tax) $25.00

Tax (10.0%) $2.50

Gross Amount (including tax) $27.50

in short 10% tax of $25.00 is $27.50.

The required cost of the sweatshirt before tax s given as $24.50.

What is the percentage?

The percentage is the ratio of the compositions of matter to the overall composition of matter multiplied by 100.

Here,
Roger paid $27.50 for a sweatshirt. This amount includes a sales tax of 10%.
Cost of the sweatshirt before tax = 27.50 - 10% of 27.50
                                                   = 27.50 - 0.1× 27.50
                                                  = $24.50

Thus, the required cost of the sweatshirt before tax s given as $24.50.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ6

solve for Y -2(y-3)+12y>16

Answers

Answer:

Y>1

Step-by-step explanation:

Please help I don't understand this!

Answers

Answer:

5

Step-by-step explanation:

you have to look at the temperature in the picture and look at how it slopes down and predict.

6. Find the interval(s) over which the function is constant
please help me!!
A. (-infinity, 1)
B. (3, infinity)
C. (-infinity, -2) U (3, infinity)
D. (-infinity, -2)

Answers

the answer is d!

Step-by-step explanation:

the constant line starts at (-2, 1) and goes on forever

hey guys pls help mee!!! numbers between 2/3 and 8/9???​

Answers

Answer:

kindly see attachment carefully

Step-by-step explanation:

hope it helps

Answer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27

Step-by-step explanation:

Help if u understand please and ty

Answers

11g +9h

You add the number of g’s which would be 9g +g+g = 11g

11g +9h

solve (x - 4)^2 = 5


A. x = -4 ± √5

B. x = 9 and x = - 1

C. x = 5 ± √4

D. x = 4 ± √5

Answers

The answer should be C.


Hope this helps

he equation of the line of best fit relating age (in years) and the median height (in cm) of boys is given.

y = 6.5x + 75.5
Which statement below best interprets the slope in the context of the problem?

Answers

Answer:

proof: answer is 2/13

1 / 6.5 = m

m = 0.153846154

10/65 = m

m = 2/13

2/13 = m

m = 0.153846154

Therefore we could show multiplication proof

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

Step-by-step explanation:

See attached graph of y = 6.5x+75.5

plotting the graph

1. Mark y intercept at 75.5 as given in the equation

2. find the slope to whole numbers

m =  10 across / 65 across = 6.5 slope

Mapping Pythagoras   10^2 +65^2 = c^2

sqrt 100 + sqrt 4225 = c^2

c^2 = sqrt 4225 = 65.7647322 = 65.8

0.7647322 / 65 = 0.0117651108 = 100th

65 + 0.0117651108 = 65.011765.....

Therefore 10 across / 65.0118  down

or 10 across  / 65 down is another way to graph, as seen on graph.

m = 10/65  =   m = 2/13

2 x 5 = 10

13 x 5 = 65

12/13+(-1/13 complete the expressions to find the sum or difference..

Answers

Answer:

11/13

Step-by-step explanation:

[tex]\frac{12}{13}+ (-\frac{1}{13} )[/tex] [tex]\frac{12}{13} - \frac{1}{13}[/tex] [tex]\frac{11}{13}[/tex]

Solve the inequality.

Answers

Answer:

w ≤ 2/5

Step-by-step explanation:

−2w+7≥3w+5

Step 1: Subtract 3w from both sides.

−2w+7−3w≥3w+5−3w

−5w+7≥5

Step 2: Subtract 7 from both sides.

−5w+7−7≥5−7

−5w≥−2

Step 3: Divide both sides by -5.

−5w/−5≥−2/−5

w≤2/5

Answer:

w ≤ 2/5

I believe that it’s c, but I’m
not certain… Can someone help me out?

Answers

Answer:

Yes, the answer is C {3,5,7}

Domain of a function is the input value and range is the result or output value that we get.

6+8÷2


mathematics middle school

Answers

Answer:

10

Step-by-step explanation:

6+8÷2=

6+4=

10

Answer:

10

Step-by-step explanation:

This can be calculated correctly using BIDMAS. This stands for Brackets, Indices, Multiply, Divide, Add, Subtract. Using BIDMAS will allow us to know what order to answer the question in.

In BIDMAS, Divide comes before Add, so we know to do this part first. So we do 8 divided by 2 which is 4.

The next part of our question is to add 6, so we do 6+4=10. So, 10 is the final answer.

Can trigonometric relationships be applied to non-right triangles? Explain your stance.

Answers

A few but not all .

Let's learn some trigonometric identities

[tex] \boxed{\begin{minipage}{6cm} Important Trigonometric identities :- \\ \\ $\: \: 1)\:\sin^2\theta+\cos^2\theta=1 \\ \\ 2)\:\sin^2\theta= 1-\cos^2\theta \\ \\ 3)\:\cos^2\theta=1-\sin^2\theta \\ \\ 4)\:1+\cot^2\theta=\text{cosec}^2 \, \theta \\ \\5)\: \text{cosec}^2 \, \theta-\cot^2\theta =1 \\ \\ 6)\:\text{cosec}^2 \, \theta= 1+\cot^2\theta \\\ \\ 7)\:\sec^2\theta=1+\tan^2\theta \\ \\ 8)\:\sec^2\theta-\tan^2\theta=1 \\ \\ 9)\:\tan^2\theta=\sec^2\theta-1$\end{minipage}}[/tex]

What is the missing value??

Answers

the missing value is 17.

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

Lowest term of 4 11/12

Answers

Answer:

its already at its lowest. you can write it as a decimal 0.916667, but this fraction is already at its lowest.

y=5+2x when x=4, what does
/
y equal

Answers

Answer:

y = 13

Step-by-step explanation:

Y = 5 + 2x but when x = 4 you replace any X variables with 4

So the equation now is 5 + 2(4) = 5 + 8 = 13

y = 13

hope with helped :)

A car travel at an average speed of 60miles per hour on a trip. What is the car's speed in feet per second?

Answers

Answer:

88ft per second hope i helped

Look at the picture. Please just look at the picture and then answer it.​

Answers

Answer:

It's not quite clear from my side

Step-by-step explanation:

because I am having Internet connection problems and my phone is not functioning properly

Mr. Sayre purchased one can of peanuts and some apples. One can of peanuts cost $4. The apples cost $2 per pound. There was no tax on Mr. Sayre's purchase. Mr. Sayre spent $13.
How many pounds of apples did he purchase?

Answers

Answer:

He purchased 4 1/2 pounds of apples.

Step-by-step explanation:

Total of 13 dollars

One can of peanuts cost 4 dollars so subtract 4 from 13

You have 9 dollars that you spent on apples

if the apples cost 2 dollars per pound

divide

(how many times 2 can go in 9)

Only 4.5 (AKA 4 1/2)

9 divded by 2

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