9514 1404 393
Answer:
(25/9)x^18·y^6
Step-by-step explanation:
Maybe you want this simplified.
The appropriate rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
__
[tex]\left(\dfrac{3x^{-3}y^4}{5x^6y^7}\right)^{-2}=\left(\dfrac{3x^{-3-6}y^{4-7}}{5}\right)^{-2}=\dfrac{3^{-2}}{5^{-2}}\cdot x^{(-2)(-9)}y^{(-2)(-3)}\\\\=\boxed{\dfrac{25}{9}x^{18}y^{6}}[/tex]
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
Step-by-step explanation:
9/7
Hope it helped you.
Please mark me brainliest.
Approximate the solution of the system to the nearest thousandth.
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
WILL MARK YOU BRAINLIEST
Answer: 4.8
Step-by-step explanation:
The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?
Answer:
FV= 111,529.37 = 111,529
Step-by-step explanation:
Giving the following information:
Initial amount (PV)= 12,000
Growth rate (g)= 45% = 0.45
First, we will establish the future value formula:
FV= PV*(1+g)^n
FV= future value
n= number of days
FV= 12,000*(1.45^n)
For 6 days:
FV= 12,000*(1.45^6)
FV= 111,529.37
Alan buys a basket of apples on sale for $7 before tax. The sales tax is 12.5%. What is the
total cost for the basket of apples?
Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Answer:
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
Step-by-step explanation:
We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
First we will find slope of the line given in graph
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have points (1,6) and (2,2)
Slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]
Part a)
Write an equation of the line that passes through the given point and is (a) parallel
When the lines are parallel, they have same slope. So, slope of required line: m = -2
Using slope m =-2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]
The equation of line will be:
[tex]y=mx+b\\y=-2x+11[/tex]
Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]
Part b)
Write an equation of the line that passes through the given point and is (b) perpendicular
When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2
Using slope m =1/2 and point(4,3) we can find y-intercept b
[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]
The equation of line will be:
[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]
Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]
i don’t understand these type of questions
Answer:
5=135
7=45
Step-by-step explanation:
Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.
A pile of sand had a weight of 60kg.
The sand is out into a small bag, a medium bag and a large bag in the ratio 2:3:7
Work out the weight of sand in each bag
Answer:
Answer is 10:15:35
Step-by-step explanation:
Let the ratio be 2x,3x,7x
then according to question;
2x+3x+7x=60
12x=60
x=5
now put value of x in the ratios
2x=2x5
=10
3x=3x5
=15
7x=7x5
=35
thus,weight of three bags are 10:15:35
I hope it's helpful!
write the ratio
14:56
in it's simplest form
Some one please help me !!!
Answer:
= 1 : 4
Step-by-step explanation:
14 : 56 in it's simplest form
= 14 / 56
= 1/4
= 1 : 4
14 : 56 = 1 : 4
Therefore, 14 : 56 in it's simplest form is 1 : 4
PLEASE HELP!! GIVING PLENTY OF POINTS AND WILL REPORT THANKS!!!
The question is 1 b
Pia printed 2 maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.
A landmark on the first map is a triangle with length on the side of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Will mark brainlyest if correct.
Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.
Step-by-step explanation:
The scale factor is 8:6 which can be simplified to 4:3.
The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:
4:3 = 3:x
4x = 9
x = 9/4
4:3 = 4:y
y = 3
4:3 = 5: z
4z = 15
z = 15/4
A 3m wide path runs outside and around a rectangular park of length 125m and breadth 65m.find the area of the path(whoever explains to me how to do it gets brainliest answer)
Please look at the picture i need help please
Answer:
176.7 in²
Step-by-step explanation:
The formula for the area of a circle is πr².
But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.
Here the diameter is 15 in. Divide the diameter by 2 to get the radius.
r = 15 ÷ 2 = 7.5 in
Now plug the radius into the formula and solve for the area.
A = πr²
A = π(7.5)²
A = π(56.25)
A = 176.7145868 ⇒ 176.7 in²
Hope that helps.
please help will mark brainliest
Answer:
[tex] \sqrt{13} [/tex]
in decimal form is 3.60555127
Please help!!!!!!!!!!!!!!!
Answer:
The slope of line 1 is: 2
Does line one have a negative of positive slope: Positive
The slope of line 2 is: -1/2
Does line two have a negative of positive slope: Negative
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
There are between 24 and 40 student in a class. The ratio of boy to girl is 4:7 how many student are in the class
The data set shows the numbers of pages in the books on a reading list
1) A tv has a sale price of $450 and has a sales tax of 6% Find the total price.
Sales tax:
Total price:
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax = [tex]\frac{6}{100}*450[/tex]
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
what is 12/6 simplified
Answer:
2
Step-by-step explanation:
Answer:
2/1......................
Which of the following is the converse of the statement below?
"If two segments have the same measure, then the segments are congruent."
o Two segments are congruent if and only if they have the same measure.
o If two segments do not have the same measure, then they are not congruent.
o If two segments are not congruent, then they do not have the same measure.
o If two segments are congruent, then they have the same measure.
1
2.
3
4
5
Answer:
Two segments are congruent if and only if they have the same measure.
Step-by-step explanation:
Because they have the same measurement which means that they are congruent if they have the same measure.
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
Please help!!!
Composition of functions~
Answer:
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Step-by-step explanation:
Given
g(t) = t² - 2
h(t) = t + 4
To determine
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]
Using the formula
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]
In order to determine g(h(-4)), first we need to determine h(-4), so
substituting t = -4 in h(t) = t + 4
h(t) = t + 4
h(-4) = -4 + 4
h(-4) = 0
so we can write
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]
now, to determine g(0), substitute t = 0 in g(t) = t² - 2v
g(t) = t² - 2
g(0) = (0)² - 2
g(0) = 0 - 2
g(0) = -2
so, finally we get
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]
Therefore,
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
plzz help guys I'm so confused!!
A city has a population of 400,000 people. Suppose that each year the population grows by 6%. What will the population be after 11 years? Use the calculator provided and round your answer to the nearest whole number.
Answer:
773,917
Step-by-step explanation:
I will assume it will be a compound interest:
To solve any compound interest problems, use the formula (P x e)^r x t
P = Principal amount
e is Euler's number can be found on your calculator
r = rate
t = time
so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)
Answer:
pop after 11 years will be 772,000
Step-by-step explanation:
P = initial population · [tex]e^{(.06)(11)}[/tex] e = Eulers number which is approx 2.7
P = 400,000 · [tex]2.7^{0.66}[/tex]
P = 400,000 · 1.93
P = 772,000
When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When n = 7
[tex]n + 3[/tex][tex]7 + 3[/tex][tex]10[/tex]hence, the given expression is equal to 10, when n = 7
if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42?
Answer:
The actual pressure is 36.50
Step-by-step explanation:
Given that:
Tire pressure reading = 8% higher
Reading = 39.42
As 100% will be the actual reading.
New reading = (100+8)% = 108%
Let,
x be the actual pressure of the tire
108% of x = 39.42
[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]
Dividing both sides by 1.08
[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]
Hence,
The actual pressure is 36.50
An 6 inch tall can of soda can hold 150π cubic cm. What is the radius of the top?
9514 1404 393
Answer:
3.14 cm ≈ 1.235 in
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Solving for r, we find ...
r = √(V/(πh))
For the given values, the radius is ...
[tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]
x²-x-42
x2 - 49
x² + 66
x2 + 3x - 28
(Simplify the numerator. The denominator may be written in simplest form or completely factored form.)
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )
Step-by-step explanation:
Someone please help me with thisss
Answer:
The equation of the line that passes through points is m = 6/4
Step-by-step explanation: sorry if this is wrong
Need help on this please
Answer:
the fourth option: cannot be determined
Step-by-step explanation:
So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.
The second option is the same as 2.3 times 21 and again its incorrect.
the third option
the fourth option has the same outcome because the fractions are equal.
therefore it cannot be determined
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answer:
its c and no im not scaming L o l
Step-by-step explanation: