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.
URGENT!!!
Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7
A. How many tomatoes should she expect to use to make her famous recipe for 100 people?
b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?
What is Abacus in terms of maths ?
Answer:
An abacus is a calculation tool used by sliding counters along rods or grooves, used to perform mathematical functions. In addition to calculating the basic functions of addition, subtraction, multiplication and division, the abacus can calculate roots up to the cubic degree.
11x-20=4x+15
what does x equal
Answer:
x = 5
Step-by-step explanation:
11x - 20 = 4x + 15
Add 20 to both sides
11x = 4x + 15 + 20
11x = 4x + 35
Subtract 4x from both sides
11x - 4x = 35
7x = 35
Divide both sides by 7
x = 35/7
x = 5
Solve the following system of equations graphically on the set of axes below.
y=x−2
y= - 1/5x-8
Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.
Answer:
x : 4y
Step-by-step explanation:
For every one chocolate he buys, he gains 4 free game tokens
Please Help I will give 82 Points and Brainliest
What is the value of 2m² + 12 when m = 3?
A. 24
B. 30
C. 37
D. 38
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
So we subtitute 3 to any "m" in your problem so,
2m^2+12
2(3)^2+12
2(9)+12
18+12
30
So, B is the correct answer!
How much do you need to subtract from 53 over 6 to make 8
Answer:
Step-by-step explanation:
Think about how this question is written out mathematically.
5/36−x=8
You’re looking for x.
When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.
53/6−8=x
In simple fraction form 8=8/1
But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1
In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.
Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6
Now that we have common denominators, we can subtract.
53/6 - 48/6
= 5/6
To check:
53/6 - 5/6 = 48/6
48/6 = 8
PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answer:
x = 33°
Step-by-step explanation:
x = angle
a complement of an angle =(90-x)
x = (90-x) - 24
x = 90 - x - 24
x = 66 -x
2x = 66
x = 33
You have a $50 gift card to go shopping for school supplies. You buy 2 packs of pencils, 5 notebooks. 6 folders, 1 pack of pens, 3 packs of paper, 1 pack of highlighters, and 2 binders.
pens: $1.57
pencils: $1.98
folder: $0.75
highlighter: $3.45
notebooks: $2.95
binders: $3.55
paper: $0.69
What value represents the change in value of the gift card after buying your school supplies ?
The value of the gift card declined by $37.40.
The total cost of all the items purchased has to be determined.
Total cost of pens = $1.57 x 1 = $1.57Total cost of pencils = $1.98 x 2 = $3.96Total cost of folders = $0.75 x 6 = $4.50 Total cost of highlighter: $3.45 x 1 = $3.45Total cost of notebooks: $2.95 x 5 = $14.75Total cost of binders: $3.55 x 2 = $7.10Total cost of paper: $0.69 x 3 = $2.07The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
A similar question was answered here: https://brainly.com/question/19891026
Answer:
Total cost of pens = $1.57 x 1 = $1.57
Total cost of pencils = $1.98 x 2 = $3.96
Total cost of folders = $0.75 x 6 = $4.50
Total cost of highlighter: $3.45 x 1 = $3.45
Total cost of notebooks: $2.95 x 5 = $14.75
Total cost of binders: $3.55 x 2 = $7.10
Total cost of paper: $0.69 x 3 = $2.07
The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
Step-by-step explanation:
What is the value of x in this triangle?
State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation.
Answer:
independent variable: the number of children
dependent variable: the cost of admission
rate of change: 11
Step-by-step explanation:
independent variable is what changes which in this case is the amount of children
dependent variable is the factor that changes because of the independent variable which in this case is the cost of admission
the rate of change is 11 because the cost of one kid would be $11
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
what is P= 100 I/RT a) I=3, R=4 and T=2
Answer:
not sure what that a) means but...
P = 300/8 = 150/4 = 75/2
Answer:
Answer: 19
Step-by-step Explanation:
P=x
x= 3 -(-8)(2)
x = 3 --16
(A negative plus a negative equal a
positive)
x= 19
What is the slope-intercept form of the linear equation x + 4y = 12?
Quick please!!!!
Answer:
y=(12-x)/4
Step-by-step explanation:
subtract x on both sides, then divide by four
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
x +4y = 12
4y = -x + 12
Divide the entire equation by 4
[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]
Need help with this ASAP I’ll mark brainliest
Lanzar dos monedas
¿Cuál es la probabilidad de obtener como mínimo un sello?
a) 1/4
b) 2/4
c) 3/4
d) 4/4
la probabilidad es de 2 uwu
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
D
4th option is correct
............
Given: ΔАВС, m∠ACB = 90° CD ⊥ AB , m∠ACD = 60° BC = 6 cm, find the length of AD
im not sure sorryyyyyyyyyyyyyyy
1/6 to the power of 3
Answer:
0.00462962962
Step-by-step explanation:
Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).
What is the area of triangle PQR
Answer:
b
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation
Please help I need to find the scale factor for the side lengths!!!
Answer:
The blue thing is 4 times smaller than the big thing.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The image/preimage scale factor can be found by considering the lengths of corresponding sides.
Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4
The scale factor is 1/4.
please solve y. y/4-16=-14 and also have a bless day
Answer:
y=8
Step-by-step explanation:
Multiply both sides of the equation by 4.
y−64=−56
Add 64 to both sides.
y=−56+64
Add −56 and 64 to get 8.
y = 8
and have a good day as well
Find the value of x in the equation below. 2.7+x=11.7
I need help. I don't even know where to start, or what to do. Can someone explain?
Answer:
You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)
Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.
For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.
helpppp
1) calculate the values of the missing sides And angles in the following triangles And rectangles
Answer:
For the pink triangle, [tex]\alpha +\beta = 90[/tex] degrees
For the yellow triangle, [tex]\beta =35[/tex] degrees
Step-by-step explanation:
You need side lengths to find the rest of the angle measures for the pink triangle and I'm not sure how to find side lengths with coordinates, I'm used to an integer with a unit of measure, maybe someone else could help with that.
How do you write 9.6004 × 10^15 in standard form?
Answer:
9600400000000000 is in standard form
in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
D
Step-by-step explanation:
yeah-ya........ right?
a boy gains 8 marks out of 10 what percentage is this
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%