Step-by-step explanation:
Using the power law of indices:
When two numbers with the same base multiply,add the exponents that is
[tex] {a}^{2} \times {a}^{3} = {a}^{2 + 3} = {a}^{5} [/tex]
Again,when two numbers with the same base divide, subtract the exponents,that is
[tex] {a}^{2} \div {a}^{4 } = {a}^{2 - 4} = {a}^{ - 2} [/tex]
There are way too many examples that is why I have elaborated the two laws for your perusal.
So for instance:
1.
[tex] {2}^{2} \times {2}^{5} = {2}^{7} [/tex]
Answer:
2² × 2⁵ = 2⁷
= 128
4⁴ × 4⁶ = 4¹⁰
= 1048576
6² × 6⁷ = 6⁹
= 10077696
9⁸ × 9⁸ = 9¹⁷
= 1.6677182e+16
Do try the rest out yourself!!! You can do it!!!
What is the answer to 1/6 + 1/2
Answer:
2/3
Step-by-step explanation:
1/6 + 3/6 = 4/6
4/6 = 2/3
Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left over?
Answer:
5 pizzas; 1/2 of a slice
Step-by-step explanation:
18/4=
4.5; the .5 is the leftover as the pizza so Mary needs 5 pizzas to be ordered.
You start at (0, 2). You move right 2 units and down 4 units. Where do you end?
Answer:
(2, -2)Step-by-step explanation:
Translation left or right adds to x-coordinate, translation up or down adds to y-coordinate.
Given coordinate (0, 2) and translation is 2 units right and 4 units down:
x = 0 + 2 = 2y = 2 - 4 = -2The end points is (2, -2)
We have to move x co ordinates 2 more and y coordinate 4less
Do it
[tex]\\ \sf\longmapsto (0,2)[/tex]
[tex]\\ \sf\longmapsto (0+2,2+(-4))[/tex]
[tex]\\ \sf\longmapsto (2,2-4)[/tex]
[tex]\\ \sf\longmapsto (2,-2)[/tex]
We will end at (2,-2)
х
(-4+ 8x) +3>
What is the solution to the inequality
-4?
Step-by-step explanation:
if I understand the typed information here, we have
(-4 + 8x) + 3 > -4
so, I am looking at that :
-4 + 8x + 3 > -4
let's first add 4 on both sides
8x + 3 > 0
then subtract -3 on both sides
8x > -3
and finally divide both sides by 8
x > -3/8
since we never multiplied or divided by a negative number, the inequality sign stays the same.
so, this inequality is true for all x > -3/8
urgent answer needed pls
Answer:
It's 87.
Step-by-step explanation:
See the picture upside down.
-3(-3x^2 + 2x)
How do I distribute?
Answer:
9x^3-3.2x.x
9x^3-3.2x^2
9x^3-6x^2
16 The cost for parking at a city airport is shown in the table.
Price for first day
$16.60
For every
2
day afterwards
$9
Yuri pays $124.60 to park his car.
How many days does he park his car for?
Show your working.
Answer:
He paid $9 twelve times
12× 2= 24 days
Step-by-step explanation:
1st day = $16.60
3rd day=$ 9 (i.e for every 2days afterwards)
5th day=$ 9
Yuri pays : 124.60
124.60-16.60
= $108.00
After paying the first day he paid 108.00
108.00÷ 9 = 12
He paid $9 twelve times
12× 2= 24 days
-6 + 5(8 - k) - 8k
Dose anyone know?
Answer:
34 - 13k
Step-by-step explanation:
Answer:
the solution is 34 - 13k
Step-by-step explanation:
can someone plz plzplz
Step-by-step explanation:
<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)1. ∠STQ
2. ∠BCD
3. ∠ORS and ∠QPO both are alternate angles of ∠POR
4. ∠EFG
5. ∠DCF and ∠CFH
6. ∠DEB
7. ∠YUT
8. 180° (because they are co-interior angles)
PLEASE HELP!! 3 IN 1
1.solve and simplify 2/7 Divided by 4/5
2. Convert the fraction to a decimal 38/333
3. Convert the fraction to a decimal 12/111
Answer:
1. D
2.B
3.0.1081 (the one with a line over it)
Which verbal model represents the algebraic expression 5(n+1) ?
O five divided by the quantity of a number minus 1
O five divided by the quantity of a number plus 1
O five times the quantity of a number minus 1
five times the quantity of a number plus 1
Next >
Answer:
Five times the quantity of a number plus 1[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
xy = 3k-2, yz-7k+4, xz=4k+38
Answer:
I have taken out the value of xyz.
number 39 show work pls tysm
Answer:
42.25/6.5=6.5 per hour
Step-by-step explanation:
Hi! I'm happy to help!
To solve this, we need to divide the amount of money by the number of hours.
You earned $42.25, over the course of 6.5 hours.
42.25/6.5
6.5
So, you earned $6.50 per hour cleaning a community park.
I hope this was helpful, keep learning! :D
An arc PQ of a circle, centre O, subtends an angle of 2 radians at the centre. This sector is folded to form a right circular cone so that the arc PQ becomes the circumference of the base. Find the height of the cone.
help me with my homework
Answer:
a because I dont know why but some one told me it was this
Answer: A. There are three terms
Concept:
In an algebraic expression, there are several specific terms:
Constant: the individual number that has no variable with it, or in east word, it is isolated.Variable: any unknown value, which is usually presented by alphabets.Coefficients: the numbers that are bounded with a variable, usually in front of a variable.Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].Like terms: terms that have the same variables and powers.If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
a. There are three terms. [tex]\boxed{FALSE}[/tex]
- 14b
- -7
- 8b
- b
There are in total four individuals, which means there are four terms.
b. There is one constant term. [tex]\boxed{TRUE}[/tex]
- 14b is a [variable + coefficient]
- -7 is a [constant]
- 8b is a [variable + coefficient]
- b is a [variable]
Therefore, there is one constant term.
c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]
- 14b →→→ 14 is the [coefficient]
- -7 →→→ is a [constant]
- 8b →→→ 8 is the [coefficient]
- b →→→ 1 is the [coefficient]
Therefore, 14, 8, and 1 are coefficients.
d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]
- 14b →→→ b is the [variable]
- -7 →→→ is a [constant]
- 8b →→→ b is the [variable]
- b →→→ b is the [variable]
Since 14b, 8b, and b share the common variable, there are three like terms.
Hope this helps!! :)
Please let me know if you have any questions
1. Which of the following is an irrational number? How do you know? Use key words and definitions to explain your answer choice.
a. 1632
b. 0.25
c. 0.0300300030000…
d. 0
2. Is the following example true or false? If false, give a counterexample. “The sum of two rational numbers is always rational. The sum of two irrational numbers is always irrational.”
3. Which of the following expressions is equivalent to 6(94)+7+(3+2)
a. 2+(3+7)+4(69)
b. 9(64)+2+(73)
c. (6+7)(94)+3+2
What properties of real numbers does this example show
Answer:
#1Rational numbers can be shown in the form of p/q.
a. 1632 - positive integer = rationalb. 0.25 - terminating decimal = rationalc. 0.0300300030000... - non-terminating decimal = irrationald. 0 - zero is rational#2The sum of two rational numbers is always rational.
TRUE as it still can be shown as p/q.The sum of two irrational numbers is always irrational.
FALSE as in specific cases, when you sum the opposites of irrational numbers you get zero which is rational#3This question is incomplete or incorrect.
None of the choices is equivalent.
Answer:
1.
1632 can be written as 1632/1. Rational
0.25 can be written as 25/100. Rational
0.0300300030... cannot be written as fraction. Irrational
0 is also irrational
2. Sum of two rational number = rational number
Sum of two irrational number = Rational or irrational number
3. Incomplete
What's the answer to this plz!?!
Answer:
1/5
Step-by-step explanation:
There are 5 yogurts in total.
(1 raspberry, 2 strawberry, 1 blueberry, 1 vanilla)
The chance of pulling a vanilla is 1/5.
Answer:
20%
Step-by-step explanation:
1/5 or 20% or 0.2 is the chance of finding vanilla yogurt
Can someone help me on this?? I need help
Answer:
Where's the question????????
[tex]\huge\mathfrak\pink{Questions \: ?}[/tex]
bài 5: rút gọn
(x +1)^2 – (2x + 1)^2
[tex](x+1)^2-(2x+1)^2=\\\\=(x^2+2\cdot x\cdot1+1^2)-((2x)^2+2\cdot2x\cdot1+1^2)=\\\\=(x^2+2x+1)-(4x^2+4x+1)=\\\\=x^2+2x+1-4x^2-4x-1=\\\\=x^2-4x^2+2x-4x+1-1=\boxed{-3x^2-2x}[/tex]
The sum of three numbers is 62. The second number is triple the first, and the third is six more than the
second. Find the numbers.
Answer:
The numbers are 8, 24 and 30
Step-by-step explanation:
Let x be the first number.
If the second number is triple the first, then the second number is 3x
If the third number is the second number plus six, then the third number is 3x + 6
So therefore the equation is:
[tex]x + 3x + (3x + 6) = 62[/tex]
Solving for x,
[tex]x + 3x + 3x + 6 = 62\\7x = -6 + 62\\7x = 56\\x = 8[/tex]
But why is the second number 24?
[tex]3x = 24\\3(8) = 24\\24 = 24[/tex]
And why is the third number 30?
[tex]3x + 6 = 30\\24 + 6 = 30\\30 = 30[/tex]
You are adding two rational numbers with different signs.How can you tell if the sum will be positive, Negative,or Zero
State one form of the Law of Cosines and provide a trick for writing the other two forms and explain when Law of Cosines should be used to solve a triangle.
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos∠C \\ \frac{a^2 - b^2 + c^2}{2ac} = cos∠B \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos∠A[/tex]
* Do not forget to use the inverse function towards the end, or elce you will throw your answer off!
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos∠C = c^2 \\ c^2 + a^2 - 2ca\:cos∠B = b^2 \\ c^2 + b^2 - 2cb\:cos∠A = a^2[/tex]
You would use this law under two conditions:
One angle and two edges defined, while trying to solve for the third edgeALL three edges defined* Just make sure to use the inverse function towards the end, or elce you will throw your answer off!
_____________________________________________
Now, JUST IN CASE, you would use the Law of Sines under three conditions:
Two angles and one edge defined, while trying to solve for the second edgeOne angle and two edges defined, while trying to solve for the second angleALL three angles defined [of which does not occur very often, but it all refers back to the first bullet]* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.
I am delighted to assist you at any time.
Regular pyramid
B=
P=
H=
l=
LA=
SA=
V=
Answer:
B (Base surface area) = 16 [tex]m^{2}[/tex]
P (Perimeter of the base) = 16 m
H (Height) = 6 m
L (Not sure what L means. I assume it's the slant height??) = 6.32 m
LA (I assume lateral surface area) = [tex]50.59 m^{2}[/tex]
SA (I assume total surface area) = [tex]66.59 m^{2}[/tex]
V (volume) = [tex]32 m^{3}[/tex]
Step-by-step explanation:
Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.
Perimeter of base=4(4)=16m
Area of base=4²=16m²
Height=6m
Slant height=6.3m
Lateral surface area=4(1/2(4)(6.3))=8(6.3)=50.54m²
Total surface area=50.54+16=66.54m²
Volume=a²h/3=4²/(6)/3=16(2)=32m³
What is the volume, in ml, of 100. grams of mercury? Mercury has a density of 13.54 g/mL
(which means 1mL=13.54 g).
13.54 g/mL = (100 g)/v
==> v = (100 g)/(13.54 g/mL) = 7.39 mL
The volume of 100 grams of mercury is 7.38 mL when the density of mercury is 13.54 g/mL.
To calculate the volume of 100 grams of mercury, we can use the density formula:
Density = Mass / Volume
We are given the density of mercury as 13.54 g/mL, and we want to find the volume in mL.
Volume = Mass / Density
Substituting the given values:
Volume = 100 g / 13.54 g/mL
Simplifying the division:
Volume= 7.38 mL
Therefore, the volume of 100 grams of mercury is 7.38 mL.
To learn more on Volume click:
https://brainly.com/question/13798973
#SPJ6
Simplify { 36 divided by (9) } divided { (-24) divided 6}
step by step needed
Answer:
-1
Step-by-step explanation:
{36÷(9)}÷{(-24)÷6} 36/9=4 and (-24)/6=-4
={4}÷{-4} 4/(-4)=-4/4=-1
=-1
Plot and label these numbers on the same number line: 0.8 0.65 0.27 0.52 0.052
Answer:
From left to right (least to greatest): 0.052, 0.27, 0.52, 0.65, 0.8
Need help plsssssssss
Answer:
B)
Step-by-step explanation:
This is hope i got it and it may or may not be helpful 10 divide by 430
What is the answer to the problem
3+(-11)+8
Answer:
0
Step-by-step explanation:
3 + (-11) + 8
3 - 11 + 8
-8 + 8
0
Answer:
0
Step-by-step explanation:
As I write this Reiner is standing at my side. He knows this is a love letter but he’s still sneaking glances. Honestly it’s no wonder the creep is still single.
That said, he did give me his word that he’d deliver this letter to you. He says he owes me for the time I doubled back to save him.
I’m sorry about that. I never would have imagined myself choosing those two over you.
I’m gonna die soon,
but I’ll die without regrets.
Or that’s what I’d like to say.
Truth is, I do have one.
It's that I never got to marry you...
With love, Ymir.
I SPENT 40 POINTS ON THIS QUESTION. PLEASE ANSWER!!!!!
Answer:
Here is your answer . hope it helps.
please help me out. this question is very confusing and hard.
Answer:
354 = 0 hundreds + 35 tens + 4 ones
354 = 0 hundreds + 0 tens + 354 ones
Step-by-step explanation:
(Hope this helped you! BTW, is this on Khan Academy? You know what? Don't answer that. Please tell me if this answer is incorrect and I will correct it as soon as I can to stop confusion from arising)