Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.
Answer:
faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?
Step-by-step explanation:
The length, breadth and height of a cuboid are in the ratio 6:3:5. If the total surface area is 504cm2, calculate area of 4 walls
please answer quick (i will mark as brainliest)
thank u
Step-by-step explanation:
metallic when has is equipment death of amiloride open interval a b payment to see payment payment details
Use the remainder theorem to find P(-3) for P(x) = 2x² + 4x²+4.
Specifically, give the quotient and the remainder for the associated division and the value of P(-3).
Quotient= ?
Remainder= ?
P(-3) = ?
Answer:
P ( 3 ) = 16
the remainder is
P ( a )
A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!
Answer:
II quadrant
Step-by-step explanation:
Looking at the drawing, you can determine that the point with
coordinates (-2 ; 5) is in the II quadrant
x-1=0 pls answer me I'll give u 10 points
Answer: x=1
Add 1 to both sides x-1=0 x-1+1=0+1
what is the difference of 23xand 9 x
Answer:
14x
Step-by-step explanation:
.....................
n^2+6n+c
Find the value of c that completes the square
Answer:
The value of ”c” can by found by this formula: (b/2)^2. In this equation the ”b” is 6. So, (6/3)^2=3^2=9.
The value of “c” that completes the square is 9.
:)
Please help I will give brainless if correct: What are the coordinates of Q
Answer:
4,3
Step-by-step explanation:
The coordinates of Q are (4,3).
Answer:
(4,3)
Step-by-step explanation:
x-axis is 4 and y-axis is 3
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)n
What does the average rate of change of the function represent?
A.
the number of days flower grew
B.
the average height of the flower after 5 days
C.
the average growth of the flower from day 1 to day 5
D.
the average time it takes for the flower to grow from 1-5 inches
The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5
The rate of change of the flower can be deduced frommthe equation as :
1.02 - 1 = 0.02Hence, the growth rate of the flower per day = 0.02
The number of days, n = 5
Therefore, the average growth rate is the average growth of the flower within the number of days given.
Learn more : https://brainly.com/question/25449918
Answer:
C
Step-by-step explanation:
I got it right
Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3
Please and thanks! (I'm horrible at my math)
Answer:
1.) 38.2
2.) -62.8
4.) -38.2
Can someone pls help me!
Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?
Answer:
Mrs. Storz must give 45 minutes
Step-by-step explanation:
Create a proportion:
t = total time given for all questions
[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]
Cross multiply:
3t = 135
Divide both sides:
3t/3 = 135/3
t = 45
Hi there- kinda confused on this
Find the slope of the line that passes through (75, -83) and (-11, -85).
please I'm in soccer and our last game is Saturday I wont be able to play if I fail this report card so please answer as soon as possible. Please and Thank You.
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
= (-85 - (-83)) ÷ (-11 - 75)
= -2 ÷ -86
= ¹/₄₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y - (-83) = ¹/₄₃ (x - 75)
⇒ y + 83 = ¹/₄₃ (x - 75)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the mark up from the cost of the sale price
Answer:
$84
Step-by-step explanation:
720x30=21600
21600/100=216
216=markdown (as a number instead of a percentage)
Now subtract that like this
720-216=504
504= sale price
Then do this
504-420=84
Therefore it is $84
Hope you understand!
Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer
Answer:
9
step by step:
sue = 45 shells
Jared= 5 shells
therefore 45÷5 =9
Answer:
9 times bigger
Step-by-step explanation:
45/5= 9 times bigger
why?
because "how many times bigger (or larger)"
Sue has 45 shells
and Jared has 5 shells
divide them and u get the answer
Which graph represents the following equation 2x - 4y = 12
I took screen shots of my work here you go!
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10
Answer:
483/798-5458+7429=19035674846 :))
Step-by-step explanation:
What is the sum of the 2nd cube number and the 1st cube number?
What is the sum of the 2nd cube number and the 1st cube number
Please help geometry question
Answer:
D) QR≅ST
The answer follows from basic AAS congruences
Answer:
line PQ≅line SU
Step-by-step explanation:
∆PQR ∆UST
P corresponds to U
Q corresponds to S
R corresponds to T
line PQ to line US
line QR to line ST
line PR to line UT
Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?
Answer: 638 x= 754*11
638 x= 8294 then divide by both sides by 638
x = 13
she will drive 754 miles in 13 hrs.
Step-by-step explanation:
brainliest me
pls help with these, at least up to finishing question 2 or Question 3b
Answer:
For question 3b the answer is no because the common difference is 4
Step-by-step explanation:
6,10,14,18,22,26,30,34
It will be 34 not 33
What is the first step to solve the following equation:
n/8 = 7
Answer:
n = 56
Step-by-step explanation:
[tex]\frac{n}{8}[/tex] = 7
The first step is to multiply both sides by 8 to clear the fraction
n = 7 × 8 = 56
Round the quantity to th given place value 13.989 to the nearest tenth
Answer:
13.989 rounded to nearest tenth is 14.0.
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
round
Use the distributive property to remove the parentheses.
5(y-5)
Answer:
=5y-25
Step-by-step explanation:
5 times y would be 5y and 5 times -5 would be -25
Write 2549 correct to the nearest 10
Answer:
2550
Step-by-step explanation:
Choose the steeper line,
y=2x+8
or
y=4x+2
Hello!
y=4x+2 is the steeper line. The bigger the slope, the steeper the line.
Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
[tex]SilentNature[/tex]
You want to buy some noodles. A 6-ounce package costs $1.92. A 14-ounce package costs $4.62
A 20-ounce package costs $6.20. Which package is the best buy?
Answer:
The 20 ounce is the best package to buy.
Step-by-step explanation:
Divide the cost of the noodles by the ounces and you'll get your answers and then you have to pick the one with the least cost per noodles.
The 6 ounce costs .32 each
The 14 ounce costs .33 each
And the 20 ounce costs .31 each
Please help I’ll give brainylist in return
Answer: its an enlargement and when it enlarges A goes up 6 and moves to the right 3 spaces P stays the same b also moves to the right 6 spaces
so in conclusion answers are
A'=(8,5)
B'=(-2,10)
Step-by-step explanation:
i hopes this helps if it doesn't I'm very sorry i tried helping the best i can :|
10, 18, 26, 34, 42, ...
Write the simplified formula (expression) for the given Arithmetic Sequence
Answer:
[tex]10 + (n - 1) 8[/tex]
Step-by-step explanation:
All arithmetic sequence can be written as:
[tex]a_{n} = a_{1} + (n - 1)d[/tex]
Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.
So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.
[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]
Now replace the knowns terms in the general form:
[tex]a_{n} = 10 + (n - 1)8[/tex]
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between any two consecutive terms in an arithmetic sequence is constant.
In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.
Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.
Therefore, the nth term of the sequence can be expressed as:
a + (n-1)d
where d is a common difference, which is 8 in this case.
So, the simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
where a is the first term of the sequence and n is the position of the term in the sequence.
Thus,
The simplified formula for the given arithmetic sequence is:
a(n) = a + 8 (n - 1)
Learn more about arithmetic sequence here:
https://brainly.com/question/10396151
#SPJ2
Which of the following could be the areas of
the three squares below?
A. 12 f12, 16 f12 and 28 f12
B. 8912, 16 pt2 and 24 P12
C. Both A and B
D. Neither A nor B
Answer:
A. 12 f12, 16 f12 and 28 f12
Step-by-step explanation:
The Pythagoras theorem states the addition of squares of the lengths of the two short sides of the right triangle is the same as the square of the length of the hypotenuse. Using the Pythagoras theorem, you may find the correct answer option A
Learn more: https://brainly.com/question/19528577