What are the law of indices

Answers

Answer 1

Answer:

What are the laws of indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base. This means that the larger number or letter must be the same.

Step-by-step explanation:

The first law: multiplication

The second law: division

The third law: brackets

Negative powers

Power of zero

Fractional powers


Related Questions

Consider the rational function:
f(3) = 22-53-6
22 +31-10
Which values are restrictions on the domain of f(x)?
theres also an answer option of x=5 but it wouldnt fit in the picture

Answers

2&3

Step-by-step explanation:

You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6

x(x-2)-3(x-2)

(x-2)(x-3)=0

Then you have to find x for each equation.

x-2=0

x=2

x-3=0

x=3

So the restricions are 2&3.

Complete the following.Write the answers in your journal

I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium

Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____​

Answers

Answer:

1.FILTER WATER 2.FILTER CLOTH

3.LIQUIDS

4.INSOLUBLE

5.DIFFERENCE

c. The double shadedregion represents
of the whole.

Answers

Step-by-step explanation:

please the information needed is up the paper. you took a picture of no. 2 instead of no. 1

Help or don’t eiether way you’re amazing

Answers

Answer:

267 (please double check this!!!)

Step-by-step explanation:

Separate the block into sections that you can find the volume for easily and figure out the measurements for each

the two smaller blocks on top will be symmetrical

the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing

so 13*3*5 = 195

The two smaller blocks is just adding a *2 once you figure out the one

it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3

3*4*3 = 36

you have another one of those blocks so it'd be 36*2

then you add them both 72+195 = 267

Is this relation a function? Justify your answer.

Answers

Answer:

Yes

Step-by-step explanation:

(I can only read the graph).

Since for each dot, a vertical line drawn through it only intersects that dot, we conclude that the relation is a function.

Round the number 245,382 to the nearest given place value.
13. hundred
14. ten-thousand
16. ten
15. thousand

Answers

245,400
250,000
245,380
245,000

The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The given number 245,382 can be rounded off to the nearest given place values as,

A.) hundred

The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.

245,400

B.) ten-thousand

The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.

250,000

C.) ten

The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.

245,380

D.) thousand

The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.

245,000

Learn more about the Place Value here:

https://brainly.com/question/27734142

#SPJ2

What is an equation of the linethat passes through the points (3,-8) and (1,-2)

Answers

Answer:

y=3x+1

Step-by-step explanation:

m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

please be super quick 3 minutessssss

Answers

Answer:

im pretty sure its B

Step-by-step explanation:

I THINK SOOO AHH

what is the total surface area of the prism in square inches

Answers

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.

Answers

9514 1404 393

Answer:

60x +15000 ≥ 18x + 57000≥ 1000 cyclists

Step-by-step explanation:

We want ...

  revenue ≥ cost + desired profit

  60x +15000 ≥ 18x + 57000 . . . . . . an inequalty

  42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000

  x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42

The group needs at least 1000 cyclists to raise at least $57,000.

what is the LCD of 3/5, 1/10, 1/2

Answers

The LCD of 3/5 1/10and 1/2 is 10. This is because 10 is the smallest number that 5, 10 and 2 are all divisible by.

Hey can someone help please hurry it’s important

Answers

149 is quotient
The remainder is 31

[tex]\large\underline{\sf{Solution-}}[/tex]

Given info:

6885 ÷ 46

Here, we have given divisor (43) & dividend (6885). And in problem they asked to find quotient & remainder.

Let's solve!!

[tex] \sf{46 \overline{\bigg)68885 \bigg(}149← \red{Quotient}} \\ \sf \underline{ 46 \: \: \: \: \: \: \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{228 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{ \underline{ - 184 \: \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }} \\ \sf0445 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \underline{ \sf - 414 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \sf{031 \red{←Remainder}} \\ [/tex]

[tex] \therefore \: \sf{Quotient = 149 \: and \: Remainder \: = 31} \\ [/tex]

[tex] \sf{Now,} \\ [/tex]

[tex] \sf{Divisor \times Quotient + Remainder } \\ [/tex]

[tex] \sf = 46 \times 149 + 31 \\ [/tex]

[tex] \sf = 6854 + 31 \\ [/tex]

[tex] \sf{ = 6885} \\ [/tex]

[tex] \sf = \red{ Dividend}. \\ [/tex]

the ratio 4:2 is equivalent to 2

Answers

To make pastry for an apple pie, you need 4 oz flour and 2 oz fat. The ratio of flour to fat is

4 : 2 .

But this ratio can be simplified in the same way that two fractions can be simplified. We just

cancel by a common factor. So

4 : 2 = 2 : 1 .

A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?

Answers

Answer:

75.4

Step-by-step explanation:

Answer: 75.4 yd

Step-by-step explanation:

Using the formulas

C = 2 π r

d = 2 r

Solving for C

C = π d = π x 24 = 75.39822 yd

75.39822 rounded up is 75.4 so the answer is 75.4 yd.

--- point (MC) 8 9 What is the value of m in the equation? 239 - 7 = m - 2

Answers

Answer:

m=234

Step-by-step explanation:

239-7=232

The equation now looks like this:

232=m-2

Add 2 on both sides:

m=234

Hope this helps!

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing ​miles, the rental costs are the same from either company

Answers

Answer: 400 miles

Solving Steps:
0.4x + 80 = 0.5x + 40
-0.1x + 80 = 40
-0.1x = -40
x = 400 miles

Circle each input value. Underline each output value. 1. {(1, 1), (2, 3), (3,5)} 2. {(6,2), (5, 3), (4,8)}​

Answers

Answer:

The first numbers in the sets are input and the second numbers are outputs.

1. {(1, 1), (2, 3), (3,5)}

Input = 1, 2, 3Output = 1, 3, 5

2. {(6,2), (5, 3), (4,8)}​

Input = 6, 5, 4Output = 2, 3, 8

A loan used for buying a home is called a mortgage. The Fortunato family is borrowing $430,000 to buy a home. They are taking out a 30-year mortgage at a rate of 3.55%. a. Compute the monthly payment to the nearest cent. fill in the blank 1 b. Find the total of all of the monthly payments for 30 years. fill in the blank 2 c. What is the total interest? fill in the blank 3 d. Which is greater, the interest or the original cost of the home?

Answers

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

For the parameters, we have that:

The Fortunato family is borrowing $430,000 to buy a home, hence P = 430000.30-year mortgage, hence t = 30.Rate of 3.55%, hence r = 0.0355.Yearly compounding, hence n = 1.

For practicality, first we are going to solve item b.

Item b:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]

[tex]A(30) = 1224536[/tex]

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

You can learn more about compound interest at https://brainly.com/question/25781328

Heyyy help maybe????????????

Answers

Its 1 2/3 yards

Since 3 ft = 1 yard

i am just completely lost at this point so pls just answer properly

Answers

Answer:

$80

Step-by-step explanation:

192÷12=16

16•5=80

Answer:

Elena puts in $80 into her savings account

Step-by-step explanation:

You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!

How do I Graph 2y=-8

Answers

Answer: (0,-4)
You solve this with inverseoperations

Please help. I will give brainly. Thank you

Answers

Answer:

1.

a = 1.96

( 1.4 x 1.4)

b= 3750

c= 1/48

2.

a= 2?

dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.

b= 3

c= 16-4a

( IM NOT SO CONFIDENT ABOUT 2)

3.

a= 17

b= ( 2squared - 1)

Step-by-step explanation:

Answer:

thank you for the points bozzo

Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Please answer ASAP.

Answers

Answer:

25

Step-by-step explanation:

4 hours goes into 100 miles 25 times.

hi po pahelp ito pls pls pls pls pls pls pls​

Answers

money

shopping

dividing

4. Which values are solutions of
2x – 1= 7? Select all that apply.
A) X=-4
(B) x = -3
C=3
D= 4

Answers

Answer:

D. x = 4

Step-by-step explanation:

2x – 1= 7

add 1 to both sides:

2x=8

divide both sides by 2:

x=4

One solution.

please help with this algebra ii question

Answers

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

What percent of the hours were billed by Jon, Roy, or Dean?
Write your answer using a percent
sign (%).

Answers

Answer:

10%

Step-by-step explanation:

please tell me if im right or wrong

how do I determine what a function is for a line graph

Answers

Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Step-by-step explanation:

Dùng kí hiệu toán học để viết mệnh đề sau:
Định nghĩa : tam giác ABC gọi là tam giác cân nếu có hai góc bằng nhau

Answers

Answer:

g vs lhnkdeugyvsvjxbd shall

Look at the graph below.
What is the slope of the line?
OA. 5
OB. -5
oc. 1
OD. -

Answers

The answer is: C. 1/5
Other Questions
Cassie has a box that is a cube with a side length of4 inches. She needs a second box that has 3 times thevolume of the first box. What is the main premise of how behavioral psychologist see the world of behavior? Quien concedio el instrumento vina a los indueces? Lo necesito. 5 coronas Please help with story idea! (I will give brainliest, I just want ideas)I have a story idea where a group of maybe 8 year olds or so sneaks out one night to find some sort of artifact> I'm trying to figure out what that should do. Why do they want it? The story is going to start in a small town where everyone knows eachother, and this one group of kids try to go find this thing - I'm thinking the story will be somewhat like the Monkey's paw, with the three wishes, but I don't know. Does anyone have any ideas? This is supposed to be a horror story for class, but it doesnt have to be too scary, and it has to answer the question What are humans most afraid of? Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM? solve pls brainliest Which of the following is not a major area in science?life sciencesocial scienceO physical sciencebasic science How does geography affect the haida tribe? someone please help! help me again please 7 = I need help please please WILL MARK BRAINLIESTEvaluate the answer in exponential form Given f(x) = 9-3x and g(x) = - 6x + 3, find (f + g)(x). Question number 13, please help 2.) Use rigid motions to explain whether the triangles in the graph are congruent.What are the coordinate rules that were used to map one triangle to the next?1st rule:2nd rule: (Pls I need Help) Each figure shown is a constant enlargement of the previous figure. Which rule below could be used to determine the side length of the next figure in the series? The problem with using arithmetic population density to investigate the populationpattern of a country is that such a density figure does not take into consideration A hedgehog wishes to cross a road without being run over.He observes the angle of elevation of a lamp post on the otherside of the road to be 27 from the edge of the road and 15from a point 10m back from the road. How wide is the road?Ifhe can run at 1 m/s-bew long will he take to cross?If cars are travelling at 20 m/s, how far apart must they be if heis to survive? What is the x intercept of this quadratic/parabola? NEED MORE HELP DUE TOMMOROW ONLY HAVE 15 POINTS SO ITS GOTTA BE 10 CUZ I GOT OTHER QUESTIONS THAT NEED ANSWERING