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:
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
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
Which Equations Represent linear Functions? (pick all that apply)
A: y=x
B: y=2x
C: y=x^2
D: y=2/x
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^_^
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
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]
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]
Given the function y = x2
22 – 10, what is the value of y when x = 5?
Answer:
coxkyxkyxoydoyd
Step-by-step explanation:
kysoydoyxlhxlhxohxoudyodgufudytdxgchjvgufychvjugfychgifuyfchuguffychjbohihfydtxgbjjbhcvjgujfjfjf
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
[tex]\sf\underline{Please \: help \: me!}[/tex]
Answer:
I HOPE THE ABOVE PHOTO WILL HELP YOU A LOT.
[tex]\huge{\mathcal {{{\color{orange}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&5&8\\{\rm\:y}&2&0&2\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
2x + 3y = 10
2(2) + 3y = 10
4 + 3y = 10
3y = 10 - 4
3y = 6
y = 6/3
y = 2
If y is 0
Then ,
2x + 3y = 10
2x + 3(0) = 10
2x + 0 = 10
2x = 10
x = 10/2
x = 5
If x is 8
Then ,
2x + 3y = 10
2(8) + 3y = 10
16 + 3y = 10
3y = 10 - 16
3y = -6
y = -6/2
y = -3
_______________________3x - y = 4[tex]\huge{\mathcal{{{\color{blue}{\boxed{\rm \begin{array}{|c|c|c|c|} { \rm\: x}&2&2&4\\{\rm\:y}& - 2&2& - 8\end{array}}}}}}} [/tex]
[tex] \Huge \mid\underline {\mathcal {{{\color{orange}{\LARGE{\mathcal{{{\color{red}{Solution}}}}}}}}}} \mid[/tex]
If x is 2
Then ,
3x - y = 4
3(2) - y = 4
6 - y = 4
-y = 4 - 6
-y = -2
If y is 2
Then ,
3x - y = 4
3x - 2 = 4
3x = 4 + 2
3x = 6
x = 6/2
x = 3
If x is 4
Then ,
3x - y = 4
3(4) - y = 4
12 - y = 4
-y = 4 - 12
-y = -8
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.
What are are the domain and range of f(x) = (1/6)^×+2?
Can someone please help me with this ty!!
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
.....
..
Plz help!! I’ll give brainliest!
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
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]
PLEASE HELP ME FAST
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7
10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)
Answer:
Number 11 I doubt the answer is right or wrong so I made 2 answers. If you know the answer please tell me, so I understand
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
What is the constant of
12/a
Answer:
27
Step-by-step explanation:
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.
Write your answer as a polynomial or a rational function in simplest form
Answer:
x²+5x
Step-by-step explanation:
You can make (f-g)(x) into (x) - (-x²-4x) because f(x)=x and g(x)=x²-4x
(x)-(-x²-4x) can simplify into x+x²+4x once you distribute the negative sign.
x+x²+4x simplifies into x²+5x.
So your final answer is x²+5x.
I hope it's right and this helps!
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 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
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:
Help guys please!!!
terms
constant
exponent
variable
coefficient
1.
2.
4.
15x2
303
terms
Answer:
Below,...!
Step-by-step explanation:
1 = Variable
2 = Exponent
3/4 = Coefficient
1. True
2. False
3. True
4. FaLSE
Anyone know how to solve this?
Answer:
0,-5 is the marking if that's your answer to the question
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