Answer:
1/64
Step-by-step explanation:
Note that 1³ = 1 and that 4³ = 64.
1³ 1
Thus, (1/4)³ = ------------ = -------
4³ 64
Answer:
[tex]\small \: \sf \: \frac{ 1 }{64} \: \\ [/tex]
Step-by-step explanation:
[tex]\small \: \sf \: \frac{ 1 {}^{3} }{4 {}^{3} } \: \\ [/tex]
Write the exponentiation as multiplication.
[tex]\small \: \sf \: \frac{ 1 \times 1 \times 1 }{4 \times 3 \times 3 } \: \\ [/tex]
Multiply, we get .
[tex]\small \: \sf \: \frac{ 1 }{64} \: \\ [/tex]
Mary invests £12,000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment after 2 years.
Answer:
The value of Mary's investment after two years = £12362.7
Step-by-step explanation:
P = Principal / initial amount
R = rate of interest per cent per year
T = number of years
A = final amount at the end of T years
Then:
A = P*(1 + R/100)^2
In our example:
P = £12000
R = 1.5 per cent per year
T = 2 years
Thus:
A = 12000*(1 + 1.5/100)^2
= 12000*(1 + 0.015)^2
= 12000*(1.015)^2
= 12000*(1.030225)
= 12362.7
Value of investment after two years = £12362.7
i need help pls
7a/9bc ÷ 21a/12b
[tex]\displaystyle \frac{7a}{9bc} \div\frac{21a}{12b} =\frac{\backslash\!\!\!\!7a}{9 \backslash \!\!\!b \ c} \cdot \frac{4\backslash\!\!\!b}{\backslash\!\!\!\!7a} =\boxed{\frac{4}{9c} }[/tex]
What would be the denominator after rationalizing 7/(5√3-5√2)
Please tell fast
I will mark branliest please fast
Thank you ☺️
Step-by-step explanation:
=> 7/(5√3-5√2) × (5√3+5√2)/(5√3+5√2)
=> 7(5√3+5√2)/75-50
=> (35√3+35√2)/25.
after rationalising the denominator is 25.
hope this helps you.
Please help;-; tysm! you don't gotta explain since its already explaining template
(23 points)
Answer:
108
108
0410404018404400
damon ate lunch at a restaurant.the bill came to 8.33.if he left an 18% tip, how much was the tip
Answer:
$1.50 was the total tip.
Step-by-step explanation:
Divide the total ($8.33) by 100
multiply the answer (0.0833) by the percentage (18)
you get $1.4994 to be exact, but we will round that to $1.50.
someone please help ASAP
Answer:
Wilde River
Step-by-step explanation:
If you look at their wins and losses (47 and 11) they will have an 81% chance of winning compared to the other team's 63% chance of winning.
47/58=81
22/35=62.8
PLEASE PLEASE PLEAAAASE HELP! I NEED TO TURN IT IN RIGHT NOW! PRETTY PLEEEASE
Answer:
5,000,000
Step-by-step explanation:
10 x 10 x 10 x 10 x 10 x 10 = 1,000,000
1,000,000 x 5 = 5,000,000
Answer:
5 Mg
Step-by-step explanation:
The metric prefix associated with [tex]10^{6}[/tex] is Mega (M).
This can be written as 5 Mg.
For the equation y=3x^2−6x−5, find the vertex showing all work.
Answer:
vertex: (1, –8)
Step-by-step explanation:
[tex]a=3 \\b=-6\\c=-5[/tex]
rewrite equation in vertex form: [tex]y=a(x-h)^2+k[/tex]
1. factor out 3
[tex]y=3x^{2} -6x-5\\y=3(x^{2}-2x)-5\\[/tex]
2. complete the square using [tex](\frac{b}{2} )^{2}[/tex]:
[tex](\frac{-2}{2})^2=1[/tex]
3. add the answer from step 2 to inside the parenthesis to create a factorable trinomial. subtract the answer from step 2 from –5 and multiply it by a. remember: a = 3
[tex]y=3(x^{2} -2x+1)-5-1(3)\\y=3(x-1)(x-1)-8\\y=3(x-1)^2-8[/tex]
4. find vertex
[tex]x-1=0\\x=1[/tex] [tex]y=-8[/tex]
vertex = [tex](1,-8)[/tex]
quick question: is this the way you do this?
Answer:
Yes, you did really good actually.
Step-by-step explanation:
what mass is 500 g less than 4,32 kg
Answer:
Step-by-step explanation:
500g=500g
432kg=43200g
43200-500=42700g
answer 42700g
I need help
please help
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Dilation by a factor of 1/2 about point S means each point moves to a position half as far from S as it was to begin with. Point S remains invariant. (Point S and S' are the same point.)
Could someone maybe help?
Answer:
9/11
Step-by-step explanation:
pick two points.
(x,y)
(5,4) and (-6,-5)
do rise/run (y2-y1/x2-x1)
4-(-5)/5-(-6)
subtracting a negative gives you a positive, so
4+5/5+6
9/11
At Rosa's Rose Shop, a bouquet containing a dozen roses costs $20. If the price of a bouquet is directly proportional to the number of roses it contains, how many dollars will a bouquet of 39 roses cost?
Answer:
It will cost $65.
Step-by-step explanation:
A dozen is 12. To find how much it will cost, we can divide the bouquet by 12.
39 ÷ 12 = 3 r3
with the remainder, we can
12 ÷ 3 = 4
3 is 1/4 of 12.
So we can multiply the price of bouquet by 1/2 to find the remainder's price. The whole equation would look like this:
(3x20) + (1/4 x 12)
60 + (1/4 x 20)
60 + 5
65
The answer is 65.
f(x)=2x^2+6x-8,g(x)=-3x-3 find the value of g(f(1))?
Answer:
g(f(1)) = -3
Step-by-step explanation:
First calculate f(1). In order to do that, you have to substitute 1 back into every “x” that you see in the “F” function.
F(1) = 2(1)^2+6(1)-8
= 2+6-8
= 0
f(1) = 0
Now that you’ve figured out that f(1) = 0. You can substitute 0 in order to find the answer to your question.
g(f(1)) = g(0) find g(0) the same way you found f(1)
g(0) = -3(0)-3 = -3
g(f(1)) = -3
A, B, C and D are points on the circle, centre O. BCE is a straight line. Angle AOC= 108° and angle DCE= 60°. Calculate the values of w, x and y
Steps are in the attatchment. My answer to a assignment the same as this.
Given the function f(x) = 2x + 5, what would the input be with an output of 21
Given :-
f(x) = 2x + 5To Find :-
The input when output is 21 .Answer :-
The given function is ,
f(x) = 2x + 5Substitute f(x) = 21 ,
21 = 2x + 521 - 5 = 2x 16 = 2x 16/2=xx = 8Answer:
input = 8
Step-by-step explanation:
x is the input and f(x) is the output
Given f(x) = 2x + 5 and f(x) = 21 , then equating gives
2x + 5 = 21 ( subtract 5 from both sides )
2x = 16 ( divide both sides by 2 )
x = 8
That is the input is 8
5(p+3)=37.95
help me with my homework
Answer:
p= 4.59
Step-by-step explanation:
Hope this helped :)
Please help me to I’ll give 5 stars
Answer:
The correct answer is C [tex]3\frac{8}{33}[/tex]
Solution by separating the parts:
[tex]3\frac{8}{33}[/tex] = 3 + [tex]\frac{8}{33}[/tex]
We know that [tex]\frac{8}{33}[/tex] is 8 ÷ 33.
Therefore: [tex]3\frac{8}{33}=[/tex] 3 + (8 ÷ 33)
You then would have to use "Long Division" for 8 divided by 33
= 3 + 0.242 = 3.242424242424...
Hence giving you 3.24 repeated which is C
P.S. the quiz either looks like a PVS exam form, or a virtual school exam/quiz, I'm able to work and help with any other further questions.
I need help, please!!
9514 1404 393
Answer:
f(x) = 0.5x +4
Step-by-step explanation:
The function rule will replace h with f(x), and d with x:
h = 0.5d +4
f(x) = 0.5x +4
__
The table values are found by putting x into the function rule and doing the arithmetic. For example, for x=1, we have ...
f(1) = 0.5·1 +4 = 0.5 +4 = 4.5
The full table and the graph are shown in the attachment.
Write the augmented matrix for the following system of equations.
- 3x + 2y = 7
5 – 2x = 7y
Answer:
Point Form: [tex](-\frac{39}{25} , \frac{29}{25} )[/tex]
Equation Form: [tex]x=-\frac{39}{25} , y=\frac{29}{25}[/tex]
Step-by-step explanation:
Using its matrix, you are going to solve with
Write both equations in standard form. ...
Make the coefficients of one variable opposites. ...
Add the equations resulting from Step 2 to eliminate one variable.
Solve for the remaining variable.
Substitute the solution from Step 4 into one of the original equations.
Simplify the expression:
3w - 4w + -5W - 6W + -9
Answer:
-12w - 9
Step-by-step explanation:
[tex]3w - 4w + ( - 5w) - 6w +( - 9) \\ - 1w + ( - 5w) - 6w + ( - 9) \\ - 6w - 6w + ( - 9) \\ - 12w - 9[/tex]
Hope this helps! Brainliest would be really appreciated!
Answer for 17 please???????????
The amount of degrees in a polygon: 360
In a pentagon: 360 / 5 = 72
9x - 18 = 72 Add 18 to both sides
9x = 90 Divide by 9
x = 10
Help me please I’ll reward you with 5 stars
Answer:
[tex] \sqrt{18} [/tex]
bc its result equals 4.242640687
Answer:
C [tex]\sqrt{16}[/tex] (Perfect square)
Step-by-step explanation:
Square root of 15 it will be 3.8..but doesn't repeat
Square root of 16 is 4 (perfect square)
Square root of 17 is 4.123... doesn't repeat or stop
Square root of 18 is 4.242.. but doesn't repeat or stop.
--
A rational number can be expressed as a ratio or a fraction.
--
16 can be expressed as a fraction the other numbers keep going meaning never stop.
guys pls help me!!!!!!
Answer:
25
Step-by-step explanation:
Answer:
The answer is 25
Step-by-step explanation:
A ladder which is 4.7 m long is placed on the ground 0.5 m from a vertical wall and then leaned over to the wall.
How high up the wall can the ladder reach?
Give your answer rounded to 1 DP.
Answer:
the can reach up to 4.6 m
5x-7=2x+8 solve for x
Answer:
x=5
Step-by-step explanation:
Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
The plane Avia flies holds 2900 gallons of fuel. She landed the plane this morning with a reserve of 900 gallons. The plane is refueled at a rate of 300 gallons of fuel per minute. The function h(x)=900+300x represents the amount of fuel in her plane after x minutes of refueling. What is the meaning of h(5.5) in the context of this situation?
Answer:
h(5.5) = 2550
Step-by-step explanation:
when something is put inside of the parenthesis in a function like h(x) or f(x), it goes where the x is so the equation would look like this
900 + 300(5.5), 900 + 1650 = 2550
PLEASE ANSWER QUICKLY AND CORRECTLY I APPRECIATE IT SO MUCH !!! :)))
Is (-1,4) a solution to the graph of
y= 3x + 7?
EXPLAIN WHY OR WHY NOT
Answer:
True
Step-by-step explanation:
(-1,4) = (x,y)
This means if "x = -1, then y should be 4"
y = 3x + 7
y = 3(-1) + 7
y = -3 + 7
y = 4
It is saying if x is -1, y is 4. This statement of "Is (-1,4) a solution to the graph of "y = 3x + 7?" Is true. You can also graph this and find the point (-1,4) and it would be on the line.
:D Hope it Helps (I dunno why I put it on this answer box now)
Answer:
Yes.
Step-by-step explanation:
Note that the point:
(x , y) = (-1 , 4)
x = -1
y = 4
Plug in the corresponding numbers for the corresponding variables in the given equation:
y = 3x + 7
(4) = 3(-1) + 7
Remember to follow PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis, Exponent (& Roots), Multiplication, Division, Addition, Subtraction.
First, multiply 3 with -1:
4 = (3 * -1) + 7
4 = -3 + 7
Next, simplify by adding -3 with 7:
4 = (-3 + 7)
4 = 4
Yes. (-1 , 4) is a solution for y = 3x + 7, as the two sides of the equation equal.
~
The cost of feeding a cat during it’s lifetime
Answer:
The average lifetime cost of owning a cat ranges from $5,000 to $23,000
Answer:
The average lifetime cost of owning a cat ranges from $5,000 to $23,000.
Step-by-step explanation:
hope it helps
mark me brainliest pls
7. People are migrating from one country or continent to the other in search of a better future. Many factors are being considered in
migration. Suppose x number of Filipinos migrate to Australia, express the following number of people migrating to other continents
(excluding Antarctica).
a. Africa : 20 less than the migration to Australia ( Answer: x - 20 )
b. Asia : 100 more than twice the migration to Australia (2 points)
c. North America : 15 more than 3 times the migration to Australia (2 points)
d. Europe: 10 more than twice the migration to Australia (2 points)
e. South America : 50 more than the migration to Australia (2 points)
f. Find the ratio (using fraction) of the migration to Europe over the migration to North America (Simplify your answer using
factoring) Show your solution. (5 points)
g. If x = 100, which continent has the biggest number of migration? Show your solution from a to e. (7 points)
Answer:
toyota innova 2.8 G A/T 2021 4x1