Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5

Answers

Answer 1

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492


Related Questions

-3(-3x-7)=48 please show work

Answers

Answer:

x = 3

Step-by-step explanation:

-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3

Conclusion:

Therefore, the answer is 'x = 3'.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

−3(−3x−7)=48

Divide both sides by −3.

−3x−7=   48

​ Divide 48 by −3 to get −16.

−3x−7=−16

Add 7 to both sides.

−3x=−16+7

Add −16 and 7 to get −9.

−3x=−9

Divide both sides by −3.

x=  −3 −9

​ Divide −9 by −3 to get 3.

x=3

Step-by-step explanation:

A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?

Answers

The answer is 80 eggs:) if you divide 3,921 and 80 you get 49

Which of the following equations have no solutions? Choose all answers that apply: ​

Answers

Answer:

All

Step-by-step explanation:

Give the function f(x) = -2x -5, determine the value of f(-3)

Answers

Answer: 1

Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.

Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.

Negative x negative is positive which -2(-3) = 6.

Take 6-5 = 1.

The above function can also be written as y = -2x-5.

The only difference is this is written in y= mx+b for and the above problem is written in function notation.

Hope this explanation helps.

I NEED ANSWER ASAPPPP

Answers

boy-7/12

girl-5/12...................

Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards

a rectangle with length 14 yards and 25 yards

a rectangle with length 2 yards and 3 yards

a rectangle with length 212 yards and 223 yards

Answers

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

------------------------------------

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

Write the equation of a line that passes through the point (-1,2) that has a y-intercept of (0,-1).

PLS HELP QUICK I NEED TO UNDERSTAND THIS I HAVE A FINAL TMRW

Answers

Answer:

The equation of a line: y = ax + b

<=> 2= -a +b => a= b - 2 (1)

<=> -1=b (2)

from (1), (2) => b= -1; a = -3

Step-by-step explanation:

f (x) = 3 (x– 4)^2– 12

based on this value, select ALL that APPLY for the following function:

Answers

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Question 3(Multiple Choice Worth 1 points)
(01.05 LC)

Which calculation can be used to find the value of y in the equation y3 = 27?

y=y equals 27 over 3
y=y equals cube root of 27
y=y equals square root of 27 over 3
y=y equals square root of 27

Answers

Answer:

y = y is equal to 27 over 3

Step-by-step explanation:

being y3 = 27

the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3

In the accompanying diagram, overline BA perp overline BD and overline BC perp overline BE Which statement is true?

Answers

The measure of angle 1 is equal to angle  3

From the diagram, if BA is perpendicular to BD, then;

m<1 + m<2 = 90 degrees

Similarly, if BC is perpendicular to BE, then;

m<2 + m<3 = 90 degrees

Equating both expressions will give:

m<1 + m<2 = m<2 + m<3

Subtract m<2 from both sides

m<1 + m<2 - m<2=  m<2 + m<3 - m<2

m<1 = m<3

Hence the measure of angle 1 is equal to angle  3

learn more on perpendicular lines here: https://brainly.com/question/1202004

i need help please thanks ​

Answers

Answer:

D) each input has only one output.

Step-by-step explanation:

What is the slope from the equation: 2x + 9

Answers

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180​

Answers

Answer:

x + 49 + 28 = 180

Step-by-step explanation:

The angle adjacent to x on the left is vertically opposite 49° and is congruent.

The 3 angles then lie on a straight line and sum to 180° , that is

x + 49 + 28 = 180

What is the y-intercept of the equation y = 3x - 1

Answers

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?

Answers

Answer:

Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.

Step-by-step explanation:

eight years ago mario was 25% younger than he is now how old is mario now

Answers

Answer:

32.

Step-by-step explanation:

32
this is because 25% equals 1/4 so 8 times 4 is 32

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)

Answers

Answer:

The top one

Step-by-step explanation:

Hope it helps

Write your answer as a fraction in simplest form.

6+(−434)+(−218)

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{6 + (-434) + (-218)}}\\\large\boxed{\mathsf{\rightarrow 6 \bf - 434 - 218}}\\\large\boxed{\rightarrow \mathsf{\bold{-428} - 218}}\\\large\boxed{\rightarrow \mathsf{\bf -646}}\\\large\boxed{\rightarrow \mathsf{\bold {- \dfrac{646}{1}} \approx -646\div1}}\\\\\\\large\text{We pretty much can't do anything to this so, your answer is: }\\\large\boxed{\mathsf{\bf -646}}\\\\\\\\\\\\\\\\\\\\\huge\text{Thus, your answer is: \boxed{\mathsf{-646}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

-646 is the answer

hope it help

#Chloe919

#thanks for the points

#carry on learning

Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.

Answers

Answer:

Step-by-step explanation:

y = 50x - 165

Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus

Answers

Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

What is 5 14/12 in simplest form

Answers

Answer:

the answer is probably 7/6

hope I am correct and if not I'm sorry

90% of _______ is 18.

Answers

90% of 20 is 18
P/s: 18/90% = 20
Ok done. Thank to me :>

find the highest common factor

Answers

Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}

Answers

Answer:

you get 15\3 divide then you answer would be 5

Step-by-step explanation:

Which of these is the correct root of the word judicial?

O A. jud = mankind

B. jud = book

C. jud = prophecy

O D. jud = law

SUBN

Answers

pretty sure law. judicial means of, by, or appropriate to a court or judge.

Roxanne's dining room is 4 meters wide and 5 meters long. Roxanne wants to install a new wood floor. It will cost $8.44 per square meter. How much will Roxanne's new floor cost?

$ ____
HELPP MEE PLEASEE!

Answers

It will coast $168.8
See attached picture

For each question, find the slope and the y-intercept

Answers

Answer:

y = mx+b

Slope (m) = -4/5

y-int = 14

Hope that helps

Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.

Answers

First you need to make the denominators the same so 3 * 7 = 21 and the numerators are multiplied by the denominator of the other fraction so you get:
14/21 + 9/21 = 23/21 or 1 and 2/21 liters

Find the value of x and the indicated angles.

Answers

Answer:

x = 33Indicated angles: 126°

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

4(33) - 62(33) + 60

Let's solve 4(33) - 6 first.

4(33) - 6132 - 6126

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

2(33) + 6066 + 60126

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

NEED HELP ASAP WILL MARK BRAIN <3

A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .

The independent variable is the _____________?

The dependent variable is the ______________?

Answers

The independent variable is the number of months after the first year.
The dependent variable is the amount on the remaining card.
Y is dependent, and x is independent. This relationship can be written as y=25 x=-2.5
If there’s any questions, please don’t hesitate and text me
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