Answer:
135c^7
Step-by-step explanation:
[tex]135c^7[/tex] is the simplified equation of the given expression.
What is simplification?Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.
To simplify [tex]5c(3c^2)^3[/tex], we need to apply the power rule of exponents, which states that [tex](a^m)^n = a^{(m*n)[/tex].
In this case, we have [tex](3c^2)^3[/tex], which means we need to multiply the exponent 3 by the exponent 2, giving us 6. So, we can rewrite the expression as:
[tex]5c(3c^2)^3 = 5c(3^3c^{(2*3)})[/tex]
Simplifying further, we get:
[tex]5c(3^3c^6) = 5c(27c^6)[/tex]
Finally, we can simplify by multiplying 5 and 27, and adding the exponents of c:
[tex]5c(27c^6) = 135c^{(1+6)} = 135c^7[/tex]
Therefore, [tex]5c(3c^2)^3[/tex] simplifies to [tex]135c^7[/tex].
Learn more about Simplification here:
https://brainly.com/question/28996879
#SPJ7
What is the answer??
Answer:
Tangent to a circle
Step-by-step explanation:
Sorry but I can't draw on this but if you draw it out then the question should become clearer.
Given that
5
x
:
9
=
8
:
3
Calculate the value of
x
.
THE CORRECT ANSWER WILL BE BRAINLIEST
Answer:
x=4.8
Step-by-step explanation:
5x:9 = 8:3
It can also be written as
5x/9 = 8/3
Cross multiply
5x*3 = 8*9
15x = 72
Divide both sides by 15
15x/15 = 72/15
x =4.8
Write the equation of the line, in slope intercept form through the following two points
(-9,-1)
(4,0)
Answer:
y=1/13x - 4/13
Step-by-step explanation:
Just follow the slope intercept form formula-
Formula: y= mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Feel free to ask if you have any questions, hope this helps!(:
Five years ago you deposited a sum of money into a savings account which has earned $150 in interest. The interest rate for the account is 3% simple interest per year. How much money was originally deposited in the account?
Answer:
$1000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1000 × 0.03 × 5 = 150
I = $ 150.00
The simple interest accumulated
on a principal of $ 1,000.00
at a rate of 3% per year
for 5 years is $ 150.00.
A die is rolled 25 times and 12 evens are observed. Calculate and interpret a 95% confidence interval to estimate the true proportion of evens rolled on a die.
Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
express the ratio in its simplest form 12cm to the 2nd power :3m to the 2nd power
Answer:
16:1
plz brainliestt
Step-by-step explanation:
144 : 9
Answer:
16:1
Step-by-step explanation:
hiii please help! i’ll give brainliest if you give a correct answer tysm!
Answer:
The answer is D
Step-by-step explanation:
You cross multiply 5 and 5 and 2 and 6 to create a new fraction
Answer:
12/25
Step-by-step explanation:
so what you would do is keep the first fraction (2/5) then change the symbol then flip the last fraction (5/6). so then you would multiply 2*6= 12 and 5*5=25. so the answer would be 12/25.
Help please pleseee
The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?
Answer:
1/5
Step-by-step explanation:
The transformer formula is as expressed as
Ns/Np= Ip/Is
Ns and Np are the number of turns in the secondary and primary coil respectively
is and Ip are the currents in the secondary and primary coil respectively
Given the following
Ip = 16A
Is = 80A
Substitute into the formula
Ns/Np = 16/80
Ns/Np = 1/5
Hence the transformer's turn ratio is 1/5
Answer: for pf, 1:5 is WRONG!
Step-by-step explanation:
25 penalties decreased by 32% is
penalties.
Answer:17
Step-by-step explanation:
10.5 + 3.5 /2 i need help
Answer:
12.25
Step-by-step explanation:
Remember PEMDAS!!
You would divide 3.5 to 2 first which is 1.75, then add 10.5 and 1.75 which equals 12.25.
P = ( )
E = exponents
M/D = Multiply/Divide
A/S = Add/Subtract
Answer:
10.5 + 3.5
--------------- = 7
2
Kelly typed a 36 word paragraph is 2/3 minute what is his typing speed in words per minute?
Answer:
His typing speed is 24 wpm. (Words Per Minute).
Step-by-step explanation:
The first thing you would have to do is convert 2/3 into a decimal, so 2/3 converted into a decimal is 0.66666666666667, then you would take that number, and multiply that by 36, the you would get you answer of 24. So, Kelly's typing speed is 24 wpm. (words per minute).
I NEED HELP PLEASE !!!!
Answer:
C.
Step-by-step explanation:
If all points on the circle are the same distance from point S, it means that point S is the centre of the circle.
Consequently, the circle would be named after point S, being the centre of the circle.
Therefore, the correct name of the circle would be circle S (OS).
C is the answer.
A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a jack or a nine.
A) 5/52
B) 6/52
C) 7/52
D) 8/52
Show work pls.
Answer:
1/169
Step-by-step explanation:
Assume jacks are “a”
and nines are “b”
a= 4/ 52
b= 4/52
now multiply
4/52 x 4/52 = 16/52
and simplify
4/13
(i dont know why the answer choices are different)
What happens to a figure that is dilated by a factor of ½ .
Answer:
i really dont know
Step-by-step explanation:
What is the distance from C to D?
A. 5 units
B. 1 unit
C. 25 units
D. 7 units
Answer:
Option A
Step-by-step explanation:
According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,
[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]
NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.
According to the question ,
Coordinate of C = (2 , -1)
Coordinate of D = (5 , 3)
Using distance formula ,
[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]
[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]
What is the function for the red line?
It has to be one that matches up against the stars!!
red line is crimson because itit tha national colour of nepal
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
16.69 cm³
Step-by-step explanation:
In finding the volume of the cylinder without the prism you find the volume of the cylinder assuming it has no prism in it then minus the volume of the prism
Volume of the cylinder assuming there is no prism through it
V=πr²h where r is radius of the cylinder and h is height of the cylinder
Given that diameter = 2, then r= 1 cm and height, h = 6cm
V= π * 1 * 1 * 6
V= 18.85 cm³
Volume of the rectangular prism
V= l*w*h
V= 6*0.6*0.6
V= 2.16 cm³
The volume of the cylinder without the prism
18.85 cm³-2.16 cm³ = 16.69 cm³
Answer:
Not an answer
Step-by-step explanation:
What is the value of the expression 19 - ?
A salesman has a car for sale for $5000. He decides to increase the price by 40%. When no one buys the car, he decreases the new price by 10%.
What is the final price of the car?
Answer:
$6300
Step-by-step explanation:
original price: $5000
increase price by 40%: $5000×1.4=$7000
decrease new price by 10%: %7000×0.9=$6300
Student Council needs $600 for the
spring dance. They only have $210 in the
treasury. The Student Council decides to raise
the rest by selling chocolate lollipops for a $1.50
profit per lollipop. Write and solve an equation
the Student Council could use to find the
number of chocolate lollipops, c, the Student
Council must sell to have the money for the
spring dance.
Answer:
$490MARK ME AS BRAINLY#Carry On LearningIn AMNO, m = 540 inches, n = 330 inches and o=600 inches. Find the measure of
20 to the nearest 10th of a degree.
Answer: 83.5
Step-by-step explanation:
Solve by factorisation
2x2 + 3x - 20 = 0
Solve that and 10 points given
Answer:
-9x+11y=-14
x= ( 13/4 +3/8y) + 11y+-4
y=2
x=13/4 + 3/8 x 2
x=4
Step-by-step explanation:
Find the value of x. Round to the nearest tenth.
Answer:
14.86854, or 15
Step-by-step explanation:
Please help i have no idea how to do this
given a polynomial and one of its factors find the remaining factors of the polynomial (5x^3-17x^2+6x);(x-3)
Answer:
x • (3x + 1) • (x + 2) • (2x - 3)
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLIEST!! I NEED HELP FAST
Answer:
B=12/13
Step-by-step explanation:
Not positive, but i believe you are trying to find the angle measure using inverse sin or whatever its called and then reducing the fraction. SOHCAHTOA
Cakes and More baked 1,450 chocolate chip cookies. The bakery sold them in boxes of 25 cookies each. How much money will the bakery collect if it sells the cookies for $7 per box? Show how you solved this below.
Answer:
$406
Step-by-step explanation:
Step one:
given data
Cakes and More baked 1,450 chocolate chip cookies
The bakery sold them in boxes of 25 cookies each
The number of boxes will be
1450/25
=58 boxes
Step two:
The cost per box is $7
hence the cost of 58 boxes will be
=7*58
=$406
Solve the following
system of equations:
5x – 2y = 4
x + 2y = 8
Answer:
x=2
y=3
Explanation
1. Solve x + 2y = 8 for x:
x + 2y = 8
x+2y + − 2y = 8 + −2y(Add -2y to both sides)
x = −2y + 8
2. Substitute −2y + 8 for "x" in 5x − 2y =4
5x − 2y = 4
5 (−2y + 8) − 2y =4
−12y + 40 = 4 (Simplify both sides of the equation)
−12y + 40 + −40 = 4 + −40(Add -40 to both sides)
−12y = −36 (Divide both sides by -12)
y = 3
3. Substitute 3 for "y" in x= −2y + 8
x = −2y + 8
x = (−2) (3) + 8
x = 2 (Simplify both sides of the equation)
Answer:
x = 2 and y = 3
PLEASE HELP 3844893 POSTING THIS ND I HAVENT BEEN HELPED
Answer:
ghnmjmmm
Step-by-step explanation:
fggnmmm
Answer:
x= 4
y= 2
Step-by-step explanation:
sorry if im wrong