When translating a number to the scientific notion (ex: 0.000157), do you count the zero to the left of the decimal point? Like would the scientific notion of 0.000157 be 1.57 x 10^-4 ? If you could explain how scientific notion works that be great. thanks

Answers

Answer 1
Yeah, you’re right, I like to think that when the number is a decimal and I have to put it in scientific notation the exponent next to the 10 is negative and then when the number is a whole number and I have to change it to scientific notation then the exponent next to the ten is positive.
Answer 2

Answer:

You do not count the zero to the left of the decimal

Step-by-step explanation:

That zero is just a placeholder as there is nothing to the left of the decimal, you could also write the number as .000157

Your answer is correct, 0.000157 is 1.57x10^-4

Scientific notation is just expressing numbers in their exponential form. The power/exponent is found by counting how many times the decimal has moved to the right or the left.


Related Questions

A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?

Answers

Answer:

4.5 metres

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

if UW=6x-35,find what UW is

Answers

Answer:

Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83

Step-by-step explanation:

Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.

solve for Q

-392 = 28q​

Answers

Answer:

14

Step-by-step explanation:

-392=28q

-392÷28=14

How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?

none
two
four
an infinite number

Answers

Answer:

4

Step-by-step explanation:

solution: −√10<x<−2 or 2<x<√10

√10=3.16

-3,-2,2,3

The 2 and -2 are the integers satisfy the inequality.

It is required to find the number of integers .

What is inequality?

The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.

Given:

For (x²– 4)< 0;

x²<4

By taking the square root of both sides we have,

√x²<√4

x < ±2

x<2 and x<-2

Also,

x²<10

By taking  the square root of both sides we get,

√x²<±√10

x < ±√10

x<√10 and x<-√10

The √10 is not an integer but an irrational number. An integer  is a whole number (not a fractional number) that can be positive, negative, or zero.

So we can't take the integer of ±√10.

Therefore, the 2 and -2 are the integers satisfy the inequality.

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6x10-4 in standard notation

Answers

(6x10) - 4 would be standard notation.

Answer:

The Answer is 2(3x^10-2) Hope this helps :)

-by-step explanation:

2y=12+4y please show work

Answers

Answer:Step 1: Simplify both sides of the equation.

2y=4y+12

Step 2: Subtract 4y from both sides.

2y−4y=4y+12−4y

−2y=12

Step 3: Divide both sides by -2.

−2y

−2

=

12

−2

y=−6

Answer:

y=−6

 

Step-by-step explanation:

Ok so you have to take away the y term with that is added with the non term and subtract it with the other y term since they’re both positive. Once you get your answer, divide it with the no term number and there’s your final answer.

2y=12+4y
-4y -4y

6y=12

12/6=2

Answer is 2

You have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?

Answers

Answer:

The smallest of the integers is 7

Step-by-step explanation:

Let the integers be x, y and z

From the question, the integers are consecutive odd integers.

Hence,

If the smallest of the integers is x and the largest is z, then we can write that,

x + 2 = y and

y + 2 = z

Then, x + 2 + 2 = z

∴ x + 4 = z ....... (1)

From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is

4x -5 = z + 12 ....... (2)

Put the value of z = x + 4 in equation (1) into equation (2),

We then get

4x - 5 = x + 4 + 12

4x - x = 4 + 12 + 5

3x = 21

x = 7

Hence, the smallest of the integers is 7

The other integers are 9 and 11 ( y= 9 and z = 11)

Mercedes takes out a loan for $ 10 , 000 at a simple interest rate of 3.5 % to be paid back in 42 monthly installments. What is the amount of the monthly payments?

Answers

Answer:

The amount of monthly installments is $267.30

Step-by-step explanation:

Here, we are interested in calculating the amount of the monthly is installments.

To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.

Mathematically,

Simple interest = PRT/100

from the question;

P = principal which is the amount borrowed = $10,000

R = rate = 3.5%

T = time = 42 months = 42/12 = 3.5 years

Substitute these values into the formula for simple interest;

We have ;

S.I = (10,000 * 3.5 * 3.5)/100 = $1,225

So the total amount to

payback = interest + principal = 1225 + 10,000 = 11,225

So the amount of installments will be ;

The amount to payback/number of months

Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month

Factor. x^2-11xy-12y^2

Answers

Answer:

(x-12y)(x+y)

Step-by-step explanation:

someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)

PLEASE SOMEONE HELP

Answers

Answer:

X=22  (Should make the rest of the problem easy to solve)

Step-by-step explanation:

22x2 + 1 = 45

22 + 5 = 27

45 + 27 = 72 (The perimiter)

[tex]\large\text{Hello there! :)}[/tex]

[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]

[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]

[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]

[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]

[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]

what 2 numbers have a sum of -10 and a difference of -2?

Answers

Answer:

-6 and -4

Step-by-step explanation:

-6 + -4 = -10

-6- - 4 = -2

There are 9 boys and 6 girls in a hall, each holding coins in their hand. The mean number of coins for the children is 18 The mean number of coins for the boys is 14 Work out the mean number of coins for the girls.

Answers

Answer:

24

Step-by-step explanation:

Average = total number of coins / number of students

If the mean number of coins with boys is 14, the total number of coins held by boys =  14 x 9 = 126

The total number of coins held by the students = total number of children x average number of coins held by the children

15 x 18 = 270

The total number of coins held by girls = 270 - 126 =144

The mean  number of coins for the girls = 144 / 6 = 24

Solve for x: −10x+5= -6x-35

Answers

X= 10 I did it on my calculator so don’t worry :)

Step-by-step explanation:

-10x+5= -6x-35

-10x+6x=-35-5

-4x=-40

x=10

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Answers

Answers:
(4^2)^4 = 4^-8
(4^2)^-1 = 4^-2
4^2 x 4^6 = 4^8
4^5 x 4^-3 = 4^2

Joshua wants to make cookies. To make cookies, he needs 1 1/8 cups of flour per batch of cookies. Joshua has 18 cups of flour. How many batches of cookies can he make? *

Answers

Answer: He can make 16 batches of cookies.

Step-by-step explanation:

Given: . To make cookies, Joshua  needs[tex]1\dfrac18[/tex] cups of flour per batch of cookies.

i.e. 1 Batch requires =[tex]1\dfrac18[/tex] cups of flour

=[tex]\dfrac{9}{8}[/tex] cups     [convert mixed fraction to improper fraction.]

Now if 1 batch = [tex]\dfrac{9}{8}[/tex] cups     (i)

Then, 1 cup = [tex]\dfrac{8}{9}[/tex] batch.           (ii)              [Multiply (i) by [tex]\dfrac{8}{9}[/tex]  ]

Joshua has 18 cups of flour.        

That means ,   18 cup = [tex]18\times\dfrac{8}{9}=2\times8=16[/tex] batch.   [Multiply (ii) by 18]

∴ He can make 16 batches of cookies.

Solve for y.
15y - -9y + -10y = 14
y =
Submit

Answers

Answer:

I think y=1

Step-by-step explanation:

15y+9y= 24y

24y-10y=14y

divide 14y by 14 and get just y and divide 14 by 14 to get one

y=1

Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple

Answers

Answer:

3; Sara is driving 30 miles per hour

Step-by-step explanation:

Here in this question, we want to select which of the options represent what a unit rate is.

When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.

Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow

Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred

Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time

Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know

Algebra 2
Please help me solve this.

Answers

Answer: x=3
Explanation: just did it :) plz name me brainliest :)))

Which number is greater than square root of one hundred fifty five?

Answers

Answer:

try 3

Step-by-step explanation:

If a numser has an even exponent can it ever be negative when it is simplified?
Explain.​

Answers

Note the pattern: A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

Answer: No, it can never be negative.

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

Explanation:

Consider the expression x^2

If x were some negative number, say x = -3, then

x^2 = (-3)^2 = 9 which is a positive result.

Picking any negative number for x will make x^2 positive.

We can think of it like this

(-3)^2 = (-3)*(-3) = 9

The two negatives multiply to a positive.

This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.

Solve for d:
df + 5d = h

Answers

Answer:

d=hf+5

Step-by-step explanation:

Step 1: Factor out variable d.

d(f+5)=h

Step 2: Divide both sides by f+5.

d(f+5)f+5=hf+5

d=hf+5

Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)

Answers

Answer:

x^2 + (y+1)^2 = 16

Step-by-step explanation:

The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.

Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:

(x-0)^2 + (y+1)^2 = 4^2

x^2 + (y+1)^2 = 16

The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).

Here

The equation of the circle is given by

(x - h)² + (y - k)² = r² - - - - (1)

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²

Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.

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An investment company pays 7​% compounded semiannually. You want to have $24000 in the future. ​ How much should you deposit now to have that amount 5 years from​ now?

Answers

Answer: You should deposit about $17014 or little more

Step-by-step explanation:

use the compound interest formula.

A= p( 1 + r/n)^nt

Where A is the amount you will save over some  years .

p is the principal or start up  amount mostly known as the initial fee.

r is the interest rate represent by a decimal so 7% will be 0.07.

n is the number of times the interest is being applied annually. Semiannually means  twice.  So n will be 2.

T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.

24,000 = p( 1 + 0.07/2)^2*5

24,000= p( 1 + 0.035)^10

24000 = p( 1.035)^10

24000 = p( 1.41059876062)  Divide both sides by 1.41059876062

p = 17104  

Which means you should deposit about $17014 or little more

Explain their mistake. Will give brainliest

Answers

Answer:

a²+b² =c²

10²+z²=13²

z² = 13²-10²

z =square root of (169-100)

this is a right triangle and 13 side is the hypotenuse (the longest side)

can you plz help me with this question 2p=74​

Answers

Answer:

p = 37

Step-by-step explanation:

divide 2 on both sides:

p = 37

Hope this helps!

Answer:

p=37

Step-by-step explanation:

74 ÷ 2 = 37

2×37 = 74

74 = 74

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Find the value of x

Answers

Answer:

x=35

Step-by-step explanation:

Triangles always add up to 180 degrees, and so do straight lines. so 180-131=49, 49+96=145, 180-145=x, so x=35 degrees

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
Write an expression to represent Max's number.
IF I DONT GET THIS RIGHT IM GETTING AN F HURRY PLZ

Answers

Answer:

3.2

Step-by-step explanation:

3.2/1

What is the y-intercept of the function f(x)=4 – 5x?

Answers

Answer:

The y intercept is 4

Which solution set satisfies the inequality y+19>_13

Answers

Step-by-step explanation:

y+19>_13

y=-13-19

=-32

What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82

Answers

Answer: 5, 72

Step-by-step explanation:

Given the following questions :.

The value of 3 minus (negative 2)

3 - (-2) = 3 + 2 = 5

A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)

6 × (-12) = - 72

The product of 6 and negative 12 is -72.

Here, we have,

The value of 3 minus (negative 2) can be calculated as follows:

3 - (-2) = 3 + 2 = 5.

Therefore, the value of 3 minus (negative 2) is 5.

Regarding the number line going from -5 to 5:

-5 -1 1 5

The product of 6 and negative 12 can be calculated as follows:

6 * (-12) = -72.

Therefore, the product of 6 and negative 12 is -72.

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