Answer:
we conclude that:
[tex]\:9x^0y^{-3}=\frac{9}{y^3}[/tex]
Step-by-step explanation:
Given the expression
[tex]9x^0y^{-3}[/tex]
Apply exponent rule: [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]\:9x^0y^{-3}=9\cdot \:\frac{1}{y^3}x^0[/tex]
Apply rule: [tex]a^0=1,\:a\ne \:0[/tex]
[tex]=9\cdot \:1\cdot \frac{1}{y^3}[/tex]
Multiply fractions: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]
[tex]=1\cdot \frac{1\cdot \:9}{y^3}[/tex]
Refine
[tex]=\frac{9}{y^3}[/tex]
Thus, we conclude that:
[tex]\:9x^0y^{-3}=\frac{9}{y^3}[/tex]
I need help with a math problem
What's a problem to your math
Answer:
what's the problem of the math quetion?
Solve for the missing variables. Round to the nearest tenth.
Answer:
6.6, 10, 35.1°, 10.8Step-by-step explanation:
Q1
x/7 = sin 71°x = 7sin 71°x = 6.6Q2
x = √8²+6² = √64+36 = √100 = 10Q3
18/22 = cos xx = arccos 9/11x = 35.1°Q4
8/x = cos 42°x = 8/ cos 42°x = 10.8please help me on this will give you brainliest
Answer:
[tex]\frac{21}{4}[/tex],[tex]5\frac{7}{25}[/tex],[tex]5.79[/tex],[tex]5.798[/tex]
Step-by-step explanation:
hope this helps have a good night/day :) ❤
You have 60 meters of fencing and want enclose an area for a garden; however, you want to set up the fence so that the largest possible area is enclosed within the fence. The shape may be a rectangle or a square. What is the length and width of the shape that will given the maximum area?
Answer:
The length and width of the shape that will give the maximum area is 15 meters by 15 meters
Step-by-step explanation:
Mathematically, to maximize the area of a rectangle, the shape must be a square
what we are saying is that a square is the greatest rectangle
In that case , the length and width of the rectangle must be the same
Let’s have the width as w and since it is equal to length, we have the length too as w
We are given the length of the fencing which is the perimeter
Mathematically, the formula for this is ; 4w
Thus;
4w = 60
w = 60/4
w = 15 meters
Use the numbers 1 4 9 2 to create number sentences that equal to 9 and 27. (Use all of the numbers)
Answer:
7
Step-by-step explanation:
Find the length of the variable X
Answer:
D
Step-by-step explanation:
the two triangles are similar so the proportion of similarity is equal to 3/12=1/4=>x/x+12=1/4=>4x=x+12=>x=4
A group bike tour cost $75 plus $12 per bike rental .Write an equation to represent this linear relationship
Answer:
Y = 12 x + 75
Step-by-step explanation:
y = total cost of the tour
x = how many bikes rented
75 = tour cost for a group
Whats 1.92 divided by 4.21?
Step-by-step explanation:
1.92 dividedby 4.21 = 0.45605700712
Answer: 0.45605700712
Step-by-step explanation: Hope you're having a nice day :)
What is the slope of the line?
Answer:
[tex]-\frac{3}{2}[/tex]
Step-by-step explanation:
First, find 2 points on the graph where the line intersects.
For this example, let's use (2, -1) and (4, -4). Find the slope using the rise over run equation. See below:
[tex]Slope = \frac{rise}{run} = \frac{(2, -1)}{(4, -4)} = \frac{y2 - y1}{x2 - x1} = \frac{(-4 + 1)}{(4-2)} = -\frac{3}{2}[/tex]
There are 15 circles and 6 squares. What is the simplest ratio of squares to circles?
Answer:
2:5
Step-by-step explanation:
Find the comment denominator; (In this case it is 3)
Answer:
5:2 OR 2:5 (depends on the formation you want!)
Step-by-step explanation:
Find what the biggest number both of the numbers have in common. (Find the greatest common factor.(GCF)GCF=3Divide each number by 3: 15 divided by 3=5 6 divided by 3=25:2 or 2:5Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/afternoon/night!!!
Please help me hurry a lot of points
Answer:
The radius of mercury is 6 times larger than the radius of hydrogen and the radius of uranium is 7 times larger than the radius of hydrogen.
Step-by-step explanation:
For mercury,
[tex]Ratio=\frac{radius of Hg}{radius of H} \\=\frac{1.5e-10}{2.5e-11} \\=6[/tex]
For uranium,
[tex]Ratio=\frac{radius of U}{radius of H} \\=\frac{1.75e-10}{2.5e-11} \\=7[/tex]
A square has the vertices at (- 2, 6), (6, 1), (1, - 7) , and (- 7, - 2) . At what point do the diagonals of the square intersect?
Answer:
Intersection point is: (-1/2, -1/2)
Step-by-step explanation:
Notice from the attached image of the points on the plane, that opposite vertices are for example:
(-2, 6) and (1, -7), and we know that in a square, the diagonals intersect dividing themselves in equal parts. So what we need to find is the midpoint of the segment that joins (-2, 6) and (1, -7) to find where the diagonals intersect.
We use the formula for the midpoint:
x-midpoint = (x1 + x2) / 2
y-midpoint = (y1 + y2) / 2
In the case of the points (-2, 6) and (1, -7) these become:
x-midpoint = (-2 + 1) /2 = -1/2
y-midpoint = (6 + -7) / 2 = -1/2
Katy has 46 missing assignments in math class and 60 missing assignments in history. She has 106 missing assignments in total. Katy wants to know how many assignments she needs to do everyday for 15 days.
Answer:
She needs to do at least 8 a day
Step-by-step explanation:
Answer: 7.066666666666666
Step-by-step explanation:
The answer really depends because it does not give me information about how many assignments he will do for each day so I will have to divide the total by the number of the days
106/15= 7.06666666666
it continues so I would say 7 and a half assignments but it sounds not good because it has a repeating decimal 6 in it
What we can do is we can tell the answer by saying Katy at least have to do at least 7 and a half or more assignments in order to finish all the missing assignments for both history and Math
Hope the explanation and the answer make sense
Please help please anyone please help me with this please please help
Answer:
plleaseeeeeeeeeeeeeeeeeeeeeeeee eeeeeeeeee
Step-by-step explanation:
Answer:
according to me I think 2underroot 4
Can someone help me with this ASAP?! Please and thank you!!
Answer:
the 1st answer is correct
Step-by-step explanation:
The answer is 19-x=6
Isabella started to get ready for a party at 5:25 p.M and finished at 5:50 p.M. How long did it her to get ready?
Answer:
25minutes
Step-by-step explanation:
Given the following
Time Isabella started getting ready = 5:25pm
Time she finished = 5:50pm
Total number of time she took to get ready = 5:50pm - 5:25pm
Total number of time she took to get ready = 0:25pm
This means that Isabella took 25minutes to get ready
Can somebody plz help answer these questions correctly! Thx (grade7math) btw :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRSTT :DDDD
Answer:
a) 7:5
b) 8:5
c) 1:2
d) 1:3
Step-by-step explanation:
Find the surface area of a cylinder. Round your answer to the nearest tenth if necessary.
Answer:
I used a chip bottle and it was 3.5 inches
Step-by-step explanation:
I hope this helps sorry if its wrong
what is the closest whole number?
Answer:
1
Step-by-step explanation:
a field is 52 metre long and 42 metre wide entered the field is a part of uniform weight of 1 metre all around find the area of the path
Answer:
3184m²
Step-by-step explanation:
Since a field is rectangle in nature
Area of the field = Length × Width
Given
Length = 52m
Width = 42m
Substitute
Area of the field = 52×42
Area of the field = 3184m²
Hence the area of the path is 3184m²
The chubby bunny weighs 5 pounds, and it gains 3 pounds per year. The fat cat weighs 19 pounds, and it gains 1 pound per year. When will the two animals weigh the same amount?
Answer: 7 years
Step-by-step explanation:
The Chubby bunny currently weighs 5 pounds but is increasing by 3 pounds per year. Assuming we wanted to find the weight in a given year, we can assume that given year is x. The expression would be:
= 5 + 3x
The fat cat weighs 19 pounds and gains by 1 pound a year.
Expression is:
= 19 + 1x
Equate the two equations together and find x:
5 + 3x = 19 + 1x
3x - 1x = 19 - 5
2x = 14
x = 14/2
x = 7 years
A sine function has a maximum y value of 8 and a minimum y value of -2. The period of the sine function is 4pi, and there is no phase shift/horizontal translation. What is the equation of the sine function?
Answer:
[tex]\displaystyle y = 5\sin(\frac{1}{2} x) +3[/tex]
Step-by-step explanation:
The Sine Function
The general form of the sine function (with no phase shift) is:
[tex]y = A\sin(\omega x) +M[/tex]
Where:
A = Amplitude
ω = angular frequency
M= Midline or vertical shift
The midline can be calculated as the mean value of the maximum and minimum values of the oscillation, thus:
[tex]M=\frac{8-2}{2}=3[/tex]
The amplitude is half the difference between the maximum and minimum values of the oscillation:
[tex]A=\frac{8+2}{2}=5[/tex]
The angular frequency is calculated in terms of the period T as:
[tex]\displaystyle \omega=\frac{2\pi}{T}[/tex]
Since T=4π:
[tex]\displaystyle \omega=\frac{2\pi}{4 \pi}=\frac{1}{2}[/tex]
Substituting in the general form of the sine function:
[tex]\boxed{\displaystyle y = 5\sin(\frac{1}{2} x) +3}[/tex]
The first choice is correct
Quiz 2
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
help me solve this question pls
Answer:
15%
Step-by-step explanation:
Formula to find percentage increase/decrease/multiplier:
NV = OV x m
In words: New value = Old value x multiplier
In this question we're looking for the m (multiplier), so rearrange the formula and make m the subject.
m = NV / OV
So NV is the increase: 3162.50
OV = 2750
So 3162.50 / 2750 = 1.15
This is the multiplier (1.15) so turn into percentage by multiplying by 100 then subtract by 100.
1.15 * 100 = 115 - 100 = 15%
And the fact that the number is postive is proof that price has increased, if it was decrease, you would be expecting a negative number. Hope you understood. :)
given the arithmetic sequence of -3 , 1 , 5 , 9,... fine the 15th term
Answer:
42
Step-by-step explanation:
Pattern is +3
-3, 1, 5, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42
Answer:
The 15th term (T15) = 53Step-by-step explanation:
Given Information :
a(first term) = -3
d(common difference) :
[tex]T_2-T_1\\\\1-(-3) = 1+3\\=4[/tex]
T15 = ?
[tex]T_n = a+(n-1)d\\\\T_1_5 = -3+(15-1)4\\\\T_1_5 = -3+(14)4\\\\T_1_5 = -3 +56\\\\T_1_5=53[/tex]
carmen has saved 80% of the money she needs to buy a new video game. if she has saved $36, how much does the video game cost
Divide the amount she saved by percent saved:
36/0.80 = 45
The game will cost $45
Answer:
The video game costs around 28.9 to 29 dollars
Step-by-step explanation:
In parallelogram MNOP, which two sides are opposite sides?
==========================================================
Explanation:
Refer to the diagram below. We have parallelogram MNOP such that we start at M, and work counterclockwise around the figure. You could work clockwise and it would be the same idea.
We see that side MN is opposite side PO. These are the two horizontal sides. The arrow markers tell us which pairs of sides are parallel. So this is why choice D is the answer.
--------------
Extra info:
Choice A is not the answer because segments MN and ON share a common point N. Note how "N" shows up in both "MN" and "ON". This makes them adjacent sides rather than opposite sides. You can think of "adjacent" as to mean "next door neighbor".Choice B is ruled out because segment MO is not an exterior side. Instead, it is a diagonal. Choice C is ruled out for similar reasoning as choice A. This time segments PM and PO have the shared common vertex of point P.Triangle CAT is congruent to triangle ?
Answer:
Statements
1. Angle T congruent Angle G; Angle C congruent Angle D 2. DG congruent AT 3. Angle A congruent to Angle D 4. Triangle CAT congruent to triangle DOG
Step-by-step explanation:
Reasons 1. Given 2. Given 3. If 2 angles in a triangle are congruent to 2 angles in another triangle, then third angles congruent. 4. ASA :)
3 movie tickets cost $36. At this rate, what is the cost per ticket? 3 ice cream cones cost $.25. At this rate, how much do 2 ice cream cones cost? 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answer:
a) $12
b) $0.17
c) $1.65
Step-by-step explanation:
a) 3 movie tickets cost $36. At this rate, what is the cost per ticket?
3 movie tickets = $36
1 ticket = x
Cross Multiply
3x = $36
x = $36/3
x = $12
Therefore, the cost per ticket = $12
b) 3 ice cream cones cost $.25. At this rate, how much do 2 ice cream cones cost?
3 ice cream cones = $0.25
2 ice cream cones = x
Cross Multiply
3x = 2 × $0.25
3x = $0.50
x = $0.50/3
x = $0.1666666667
Approximately = $0.17
Therefore, the cost of 2 ice cream cones = $0.17
c) 3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
3 bananas = $0.99
5 bananas = x
Cross Multiply
3x = 5 × $0.99
x = 5 × $0.99/3
x = $1.65
Therefore, the cost of 5 bananas = $1.65
G = 3j + 4 sovle for j
Answer:
j = (G - 4)/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
G = 3j + 4
Step 2: Solve for j
[Subtraction Property of Equality] Subtract 4 on both sides: G - 4 = 3j[Division Property of Equality] Divide 3 on both sides: (G - 4)/3 = jRearrange/Rewrite: j = (G - 4)/3