Law of Exponent
[tex] \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }[/tex]
From the expression.
[tex] \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }[/tex]
Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.
What is the constant of
12/a
Answer:
27
Step-by-step explanation:
a rectangular field has a length of 485 meters and a width of 155 meters how much would it cost to fence the field at £14 a meter
Answer:
£17920
Step-by-step explanation:
total length of the field = 2(155+485) = 1280m
cost = 1280 * 14 = 17920
How many solutions are there to the equation below?
14x + 5 = 14x-19
A. 1
B. infinitely many
C. O
helpppp with geometry plzzz
Step-by-step explanation:
a) given slope=m1=4/b
parallel slope=m2=-8
when two lines are parallel their reltion of slopes is:
m1=m2
4/b=-8
b=-4/8
b=-1/2
b) m1=4/b , m2=3/4
when slopes are perpendicular their relation of slopes is:
m1×m2=-1
4/b × 3/4=-1
3/b=-1
b=-3
Note:if you need to ask any question please let me know.
A scientist has 3^15 cells in a container. She expects the number of cells to triple in on day. How many cells will the scientist have after one day? Show your work or explain your reasoning
Answer:
3^16 cells
Step-by-step explanation:
The scientist has 3^15 cells. If we triple the number of cells, we multiply this amount by 3
3 * 3^15 = 3^1 * 3^15
Remember your laws of exponents: we add the exponents here.
3^(1+15) = 3^16
Find the area of the following figure.
[tex]\\ \sf\longmapsto side=\dfrac{Diagonal}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto Side=\dfrac{3\sqrt{2}}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto Side=3cm[/tex]
Now
[tex]\\ \sf\longmapsto Area=(side)^2[/tex]
[tex]\\ \sf\longmapsto Area=(3)^2[/tex]
[tex]\\ \sf\longmapsto Area=9cm^2[/tex]
2.5 ÷ 0.5
A 1.25
B. 2
C. 4.5
D. 5
E. 10
Answer
The answer is D. 5
Answer:
2.5/.5 = 5 Anything that is divided by 0.5 or 1/2 is double the number it's getting divided by. 2.5 doubled is 5
Step-by-step explanation:
If DE = 4 x + 10, EF = 2 x -1, and DF = 9 x - 15, what is the length of DF?
Answer:
DF = 57
Step-by-step explanation:
DE + EF = DF
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms on the left side
6x + 9 = 9x - 15
Subtract 6x on both sides
9 = 3x - 15
Add 15 on both sides
24 = 3x
Divide by 3 on both sides
x = 8
DF = 9x - 15 = 9(8) - 15 = 72 - 15 = 57
Checking:
(4(8) + 10) + (2(8) - 1) = 9(8) - 15
(32 + 10) + (16 - 1) = 72 - 15
58 - 1 = 72 - 15
57 = 57
Answer:
DF= DE+EF
9x–15 = (4x+10)+(2x-1)
9x–15 = 6x +9
9x–6x= 9+15
3x = 24
x=24/3
x=8
DF = 9x –15 = 9(8)–15= 72 –15 = 57
So; DF = 57
I hope I helped you^_^
Needs helps with this
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Name the marked angle ( < KLI ) in 2 different ways[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
You can name the angle as < ILK too.Why? Well, to name an angle you only need to focus on keeping the vertex of the angle (the middle point where the angle gets formed) in the middle while naming. In this case the vertex is L. Then you can just shift the places of the 2 arms of the angle ( I & K ) & yea, then you'll get the name of the angle as < ILK.Which Equations Represent linear Functions? (pick all that apply)
A: y=x
B: y=2x
C: y=x^2
D: y=2/x
Pls help me I’m not very smart
Answer:
39.90
Step-by-step explanation:
multiply 95x42, ur not smart if you think u arent.
Anyone know how to solve this?
Answer:
0,-5 is the marking if that's your answer to the question
What is the distance between (-2,4) and (0,2)
Answer:
(-2,6)
Step-by-step explanation:
I took the test
Answer: sqrt 8 = 2 sqrt2
Step-by-step explanation:
d = sqrt [(0–2)^2+(2-4)^2]
= sqrt (2^2 + -2^2)
= sqrt 8
Simplify: 2 sqrt2
Diagram 6 shows a rectangle KLMN.
It is given that tan x = 0.8. Find the length, in cm, of LM.
A 16
B 20
C 24
D 26
HELP ME PLS
Answer:
LM = 24 cm
Step-by-step explanation:
Using the tangent ratio in the right triangle to find JL
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{JL}{KL}[/tex] = [tex]\frac{JL}{10}[/tex] = 0.8 ( multiply both sides by 10 )
JL = 8
Then
LM = JL + JM = 8 + 16 = 24 cm
when is it hard to show if a set is closed or not closed?
Toy rubber balls are packaged in a cylinder that holds 3 balls. The diameter of each ball is 4.5 cm. Find the volume of the cylinder. Use 3.14 for π. (Round to the nearest tenth as needed.)
Answer:
214.6 cm³Step-by-step explanation:
Volume formula:
V = πr²hGiven:
d = 4.5 cmh = 3*4.5 cmFind the volume:
V = 3.14*(4.5/2)²*(3*4.5) = 214.6 cm³ (rounded)
Answer :-
Total height = 4.5 × 4.5 × 4.5 = 91.125 cm
Radius = Diameter/2
Radius = 4.5/2 = 2.25 cm
Volume = πr²h
Volume = π (2.25)² × 91.125
Volume = π × 12.25 × 91.125
Volume = 1116.2 π cm³
Evaluate each of the following expressions for x = 10, y = 5 and z = 2
Answer:
5x2=10.This is less informative but there was no equation soooo
Step-by-step explanation:
Or y x z = 10/ ×
[tex]\huge\text{Hey there!}\\\\\bullet\huge\textsf{ Assuming the equations is: \underline{x + y + z} or \underline{xyz}}\\\\\\\huge\textsf{If \text{x + y + z}}\\\huge\text{x + y + z}\\\huge\text{= 10 + 5 + 2}\\\huge\text{= 15 + 2}\\\huge\text{= 17}\\\huge\boxed{Possible\ answer\ \#1: 17}\\\\\huge\textsf{If xyz}\\\huge\text{xyz}\\\huge\text{= 10(5)(2)}\\\huge\text{= 50(2)}\\\huge\text{= 100}\\\huge\boxed{Possible\ answer\ \#2: 100}\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
soultion for 3x-5=2x+3-(x-4)
Answer:
6
Step-by-step explanation:
Initial problem:
3x - 5 = 2x + 3 - (x - 4)
First, distribute the minus sign to the parentheses:
3x - 5 = 2x + 3 - x + 4
Next, combine like terms:
3x - 5 = x + 7
Subtract x from both sides:
2x - 5 = 7
Add 5 to both sides:
2x = 12
Divide both sides by 2:
x = 6
Simplify (9m^5n^-7)
________ without negative exponents
27m^6n^5
Answer:
[tex]9m^5n^-7[/tex] = [tex]\frac{ 9m^5}{n^ 7}[/tex]
Step-by-step explanation:
What value of b makes the expression x^2 + bx + 4 a perfect square?
1
0
2
4
Answer:
b=4 makes the equation a perfect square.
Step-by-step explanation:
As long as you factorize out the equation, you'll get a result of (x+2)^2. This multiplied using foil gives you, x^2 + 2x + 4. Making it a perfect square. You could also have -2 = b which makes a perfect square, but that's not in the options.
Answer:
4
Step-by-step explanation:
The constant term 4 is obtained by
adding (half the coefficient of the x- term)²
4 = 2²
Then b = 4
x² + 4x + 4 = (x + 2)² ← a perfect square
write as a single fraction in it's simplest form:
[tex]x - 8 \div x + 3x \div x + 1[/tex]
Answer:
-8/3x
Step-by-step explanation:
-8 / 3x / 1
-8 / 3x
.....
..
Can someone please help me with this ty!!
If de=4x+10 Ef=2x-1 and df= 9x-15 find df
Step-by-step explanation:
Assuming that de + ef = df, we can create the expression:
(4x + 10) + (2x - 1) = 9x - 15
Combine like terms to get:
6x + 9 = 9x - 15
The rest is basic algebra after this point.
6x + 9 = 9x - 15
-6x +15 -6x +15
______________
24 = 3x ----> x = 8
Next, plug the x value into the df equation to find df.
df = 9(8) - 15
df = 72 - 15
df = 57
what is the answer and the remainder for the problem
76,000 divided by 816
I NEED ANSWER ASAP PLEASE I BEG OF YOU
Answer:76000 divided by 816 equals
93 with a remainder of 112
Step-by-step explanation: 0 0 0 9 3
8 1 6 7 6 0 0 0
− 0
7 6
− 0
7 6 0
− 0
7 6 0 0
− 7 3 4 4
2 5 6 0
− 2 4 4 8
1 1 2
Find the output b when the input a is 6
B=-1 - 7a
B=
Answer:
-43
Step-by-step explanation:
If a = 6.
B= -1 - 7a. a=6. 7a=42
B = -1 - 42 = -43
What is the product of 3x+4 and 6x^{2} −5x+7?
Step-by-step explanation:
[tex](6x^2-5x+7)(3x+4)[/tex]
[tex]=(6x^2-5x+7)(3x)+(6x^2-5x+7)(4)[/tex]
[tex]=(6x^2)(3x)+(-5x)(3x)+(7)(3x)+(6x^2)(4)+(-5x)(4)+(7)(4)[/tex]
[tex]=18x^3-15x^2+21x+24x^2-20x+28[/tex]
[tex]=18x^3+9x^2+x+28[/tex]
what is the area of a rectangle which is 7.2cm by 3cm
Answer:
21.6cm^2
Step-by-step explanation:
area = length * breadth
= 7.2 * 3 = 21.6
Plz help!! I’ll give brainliest!
What are are the domain and range of f(x) = (1/6)^×+2?
What is the largest number that can be made with 1,6,2,8,7,8
Answer:
the answer is 887621
hope this helps
have a great day ahead!