Mathematics High School

Estimate the answers to the following calculations by carrying out order of magnitude calculations.
a) 0.26 x 890
b) [tex]\frac{1.95}{0.0067}[/tex]
c) 2010 x [tex]10^{-5}[/tex]
d) [tex]\frac{9.98 x 10^{-4} }{9 x 10^{2} }[/tex]

Answers

Answer 1

9514 1404 393

Answer:

  a) 230

  b) 300

  c) 2×10^-2

  d) 1.1×10^-6

Step-by-step explanation:

a) 0.26 × 890 ≈ 1/4 × 900 ≈ 225 ≈ 230

b) 1.95/(.67×10^-2) ≈ 2/(2/3)×10^2 ≈ 300

c) 2010×10^-5 ≈ 2×10^3×10^-5 = 2×10^-2

d) 9.98×10^-4/(9×10^2) = 9.98/9×10^(-4-2) ≈ 1.1×10^-6

__

YMMV depending on how you do the rounding and approximate multiplication and division.

The first one can be done multiple ways. For most accurate results, increasing one number while decreasing the other is recommended. (You don't want to compute 0.3×900, for example.)

Related Questions

4.2.4 practice: Modeling: Slope intercept equation of a line

Answers

Given:

Modeling: Slope intercept equation of a line

To find:

The slope intercept equation of a line.

Solution:

The slope intercept equation of a line is defined as:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

It means the line intersects the y-axis at (0,b).

For example: The slope of a line is 2 and its y-intercept is 1, then the slope intercept of the line is:

[tex]y=2x+1[/tex]

Therefore, the slope intercept form of a line is [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

The volume of a cube is 8mm3.
What is the length of its side?

Answers

Answer:

the length of cube

is 2 mm

Answer:

2m

Step-by-step explanation:

A cube is a 3-dimensional object with all sides of equal length. So, length = breadth = height

Let the side of cube be x.  

Then Volume of cube = x * x * x

So, length (side) of cube is 2m

Suppose Ax = b always has at least one solution no matter what b is. Why AT y = 0 has only the trivial solution y = 0?

Answers

Answer:

For the first equation we have:

A*x = b

solving for x, we get:

x = b/A

If it always has a solution, then we can not have A = 0, because that causes an undefined operation.

so for example, if we have A = 1 and b = 2

x = b/A = 2/1

For the other case,

A*y = 0

dividing both sides by A

y = 0/A = 0

y = 0

Here we have only one possible solution, the trivial one, y = 0.

And the dependence on A disappears (because the quotient between zero and a number different than zero is always zero)

A man serves 6 customers in 30 minutes. How many customers can be served in 2 hours?

Answers

Answer:

24

Step-by-step explanation:

2 hours * 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

4 * 6 customers = 24 customers

Answer: 24

A man serves 6 customers in 30 minutes. There are 24 customers who can be served in 2 hours.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A man serves 6 customers in 30 minutes. we want to find how many customers can be served in 2 hours.

We know that

2 hours x 60 minutes/hour = 120 minutes

120 minutes / 30 minutes = 4

120 minutes is 4 times 30 minutes, so he can serve 4 times as many people.

= 4 x 6 customers

= 24 customers

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

What is the value of x? 160° 51°​

Answers

Answer:

51= 1/2(160-x)

102=160-x

x=160-102=58

Step-by-step explanation:

I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST

The graph of f(x) = |x| is transformed to g(x) = |x+1|-7. On which interval is the function decreasing?

A. (negative infinity, -7)
B. (negative infinity, -1)
C. (Negative infinity, 1)
D. (Negative infinity, 7)

Answers

Answer:

B. (negative infinity, -1)

B. Negative infinity-1

If 2x+4=8, what is 9x?

Answers

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

given g(x) = square root of x - 4 and h(x) = 2x - 8 What is g(h10))?

Answers

Step-by-step explanation:

First find h(10)

h(10)=2(10)-8

h(10)=12

Now plug in 12 as the value of x in g(x) ie.g(12)

So g(12)=√12-4=√8=2√2

Calculate the median of the following data 18, 24, 55, 59, 34, 39, 22, 32, 57, If 55 is replaced by 33, calculate the new median

Answers

The median with the number how they are and not being replaced is 37.7 with the 55 being replaced with 33 the new median is 35.3

Answer:

34, and if 55 was replaced with 33, the new median would be 33.

Step-by-step explanation:

The median is the number that is in the middle of a data set, once the numbers are organized from least to greatest. If we put the numbers in order (18, 22, 24, 32, 34, 39, 55, 57, 59), the number in the middle is 34. If we do the same, but replace 55 with 33, (18, 22, 24, 32, 33, 34, 39, 57, 59), we get 33 as the median.

= (b) Use your calculator to determine the exact value of 35.23 x 3.02 Exactly Correct to 2 decimal place

Answers

Answer:

The exact value is 106.40

Step-by-step explanation:

The exact value of the given operation obtained with the calculator is:

[tex] 35.23 \times 3.02 = 106.3946 [/tex]

The result expressed in 2 decimal places is:

[tex] 106.3946 = 106.40 [/tex]  

Therefore, the exact value is 106.40

I hope it helps you!

Need help for this question pleaseeee ​

Answers

9514 1404 393

Answer:

  y = 27·x²   or   (a, n) = (27, 2)

Step-by-step explanation:

Taking the log (base 3) of the given equation, we have ...

  [tex]\log_3(y)=n\cdot\log_3(x)+\log_3(a)[/tex]

Using the points given on the graph, we have 2 equations in n and 'a'.

  3 = n·0 +log₃(a) . . . . . log₃(y) = 3, log₃(x) = 0

  a = 3³ = 27

and

  7 = n·2 +3 . . . . . log₃(y) = 7, log₃(x) = 2

  4 = 2n

  2 = n

The values of a and n are 27 and 2, respectively.

Explain and help me with these pls and tyty ( solving using the substitution method )

Answers

Answer:

I suck at math but take a picture and put it in the app called "Math-way" or "Photo-math" I'm a senior and still use these

Select the correct answer.
Each statement describes a transformation of the graph of y= x. Which statement correctly describes the graph of y=x+7?
OA. It is the graph of y=x where the slope is increased by 7.
ОВ. It is the graph of y= x translated 7 units to the right.
Oc. It is the graph of y= x translated 7 units up.
OD. It is the graph of y= x translated 7 units down.

Answers

Answer:

Correct Answer is C

since anything after x decides if it goes up or down like +7 goes up -7 goes down i don't know what would be if it goes sideways

Find the average rate of change of g(x)=-2x^3-5 from x=-4 to x=1

Answers

Answer:

26

Step-by-step explanation:

We have the average rate of change on the interval [a,b] as

f(b)-f(a)/(b-a)

b = 1 and a = -4

f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7

f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123

so we have;

(123 + 7)/(1+4) = 130/5 = 26

find the least common denominator for these fraction 4/8 and 1/4​

Answers

Answer:

8

Step-by-step explanation:

As,

1/4 = (1×2)/(4×2) = 4/8

4/8 = (4×1)/(8×1) = 4/8

In both case,

The denominator 8 is least common multiple

Um criador de ovelhas possui um total de 36 ovelhas e resolveu vender alguma delas no primeiro dia vendeu metade das ovelhas no segundo dia vendeu um terço e no terceiro dia vendeu a nona parte quantas abelhas sobraram?

Answers

Answer:

2 sheep

Step-by-step explanation:

If you have 36 sheep  and you sell:

first day    1/2 of them  you sold               18

second day  1/3  them you sold                12

On thhe third day  1/9  them you sold       4

Therefore you sold 18 + 12  + 4  = 34

And you still have  2 sheep

Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.

Select one:
a. 23
b. 9
c. 19
d. 3

Answers

Answer:

C

Step-by-step explanation:

AB + BC = AC , that is

5x + 4 + 4x - 8 = 23

9x - 4 = 23 ( add 4 to both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Then

AB = 5x + 4 = 5(3) + 4 = 15 + 4 = 19 → C

What is the value of d?
A)80
B)100
C)84
D)50

Answers

Answer:

100 degrees

Step-by-step explanation:

You can tell by just looking at the picture :)

answer pleaseee help

Answers

Answer:

should be A & D they are multiplying the x by a number less than 1 (between -1 & 1)

Step-by-step explanation:

Please help ASAP!!! Tysm :)

Answers

Answer:

Hope that will help you

Step-by-step explanation:

BD = 14.5

answer please i need to pass this class

Answers

Answer:

b

Step-by-step explanation:

Answer: B (option 3)

Step-by-step explanation:

When you multiply [tex]\sqrt{b}[/tex] by itself, the two square roots cancel our, giving you just b.

2. Write the slope-intercept form of the equation for each graph described. Line passing through (-5, 12) and parallel to the line whose equation is y = 2x + 5. Y =​

Answers

Answer:   y = 2x+22

========================================================

Explanation:

The equation y = 2x+5 is in the form y = mx+b

m = 2 = slope

b = 5 = y intercept

Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.

Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c

y = mx+c

12 = 2(-5)+c

12 = -10+c

12+10 = c

22 = c

c = 22

Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22

The equation of the parallel line is y = 2x+22

The graph is below.

Juilo spent $64 and now has no money left.He( )had before his purchase​

Answers

Answer:

64->-?

Step-by-step explanation:

he spent 64 and now he has none so he spent all his money

Which number is an integer?

A) -9,248.3
B) 35,749.087
C)10,839
D -16/17

Answers

Answer:

C) 10839

Step-by-step explanation:

.For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not.

Can someone help me with this math homework please!

Answers

Answer:

Step-by-step explanation:

What does "solve an equation" mean?

Answers

Answer:

It means you find something equal to that equation or simplify it.

Step-by-step explanation:

KHAN

I need help on this !! Please

Answers

Answer:

Step-by-step explanation:

6= A , 7= A , 8=A and 9 = B , I hope this helps

pls help w work shown!!

1 cubit = 6 palms , 2 cubit = 3 roman feet , 1 Roman foot = 296 millimeters.
Cubits, palms, and Roman feet are linear measurements that were used in ancient Rome.
Based on the relationships shown above, how many
millimeters equals 1 palm?
A) 16
B) 36
C) 72
D) 74

Answers

Answer:

D) 74

Step-by-step explanation:

1c = 6p

1c = 1.5f

1f = 296

6/1.5 = 4

296/4 = 74

The tens digit is missing from the three-digit number 8 _ 9. If the tens digit is to be randomly selected from the ten different digits from 0 to 9, what is the probability that the resulting three digit number will be a multiple of 9?

Answers

Step-by-step explanation:

Only 1 number works. 1 will make 819 which is divisible by 9.

Since it is 1 of ten numbers can go in the blank, the answer is 1/10 which is 0.1

The 10 number choices are

0,1,2,3,4,5,6,7,8,9

The only one that works is 1 as I've stated.

Pls help, I will give 50 points

Answers

I think this is the answer you are looking for
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