Answer:
[tex]\dfrac{3^{13}}{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]\dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot (3^2)^4}{(2^3)^2 \cdot 3^6}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{3^5 \cdot 2^4 \cdot 2^1 \cdot 3^6 \cdot 3^8}{2^6 \cdot 3^6}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies \dfrac{3^{(5+6+8)} \cdot 2^{(4+1)}}{2^6 \cdot 3^6}[/tex]
[tex]\implies \dfrac{3^{19} \cdot 2^{5}}{2^6 \cdot 3^6}[/tex]
[tex]\implies \dfrac{3^{19} \cdot 2^{5}}{3^6 \cdot 2^6}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 3^{(19-6)} \cdot 2^{(5-6)}[/tex]
[tex]\implies 3^{13} \cdot 2^{-1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{3^{13}}{2^1}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^1=a:[/tex]
[tex]\implies \dfrac{3^{13}}{2}[/tex]
Answer:
The result is 3¹³ /2
Step-by-step explanation:
Greetings
distance formula is?
Answer:
what formula sorry cant help
Step-by-step explanation:
Answer:
[tex]d=\sqrt{(x2-x1)^{2} (y2-y1)^{2} }[/tex]
Step-by-step explanation:
This is what it is lol
Monu
Exploring Decimals
What is this number in standard form?
(7 x 100) + (4 x 100 ) + (8 x
1,000)
Enter your answer in the box.
Answer:
Step-by-step explanation:
700+400+8000
9100
Answer: 9,100
Step-by-step explanation:
[tex](8*1,000)+(4*100)+(7*100)=\\8,000+400+700=\\8,400+700=\\9,100[/tex]
Julie has $80 to spend on clothes. If she buys a pair of jeans for $24.75, how many shirts can she buy for $12.50?
Answer:
4
Step-by-step explanation:
$80.00 - $24.75 = $55.25
$55.25 ÷ $12.50 = 4 Shirts!
find the missing angles for #4
1= 88°
2= 42°
3= 113°
hope that helps^^
NEED AN ANSWER FAST
What is the equation for the line of reflection?
A.x=6
B.y=6
C.y=x
D.y=2
Answer:
B:y6 yan ang. answer wag puro brainy
simply combining like teams 3a-2b-ab-(a-b+ab)-4ab+2b-a STEP explanation plss
Answer:
-6 a b + b + a
Step-by-step explanation:
Simplify the following:
-(a - b + a b) - a b - 4 a b + 2 b - 2 b + 3 a - a
Hint: | Group like terms in 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a.
Grouping like terms, 3 a - 2 b - a b - (a b - b + a) - 4 a b + 2 b - a = -(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b):
-(a b - b + a) + (-a b - 4 a b) + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in -a b - 4 a b.
a b (-1) + a b (-4) = -5 a b:
-(a b - b + a) + -5 a b + (3 a - a) + (2 b - 2 b)
Hint: | Combine like terms in 3 a - a.
3 a - a = 2 a:
-(a b - b + a) - 5 a b + 2 a + (2 b - 2 b)
Hint: | Look for the difference of two identical terms.
2 b - 2 b = 0:
-(a b - b + a) - 5 a b + 2 a
Hint: | Distribute -1 over a b - b + a.
-(a b - b + a) = -a b + b - a:
-a b + b - a - 5 a b + 2 a
Hint: | Group like terms in -a b - 5 a b + b + 2 a - a.
Grouping like terms, -a b - 5 a b + b + 2 a - a = (-a b - 5 a b) + b + (-a + 2 a):
(-a b - 5 a b) + b + (-a + 2 a)
Hint: | Combine like terms in -a b - 5 a b.
a b (-1) + a b (-5) = -6 a b:
-6 a b + b + (2 a - a)
Hint: | Combine like terms in 2 a - a.
2 a - a = a:
Answer: -6 a b + b + a
If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?
Answer:
9 pitchers
Step-by-step explanation:
Given
Cylinder 1:
[tex]Radius = r[/tex]
[tex]Height = 9[/tex]
Cylinder 2:
[tex]Radius = 3r[/tex]
[tex]Height = 9[/tex]
Required
How many pitchers' cylinder 2 can fill
First, we calculate the volume of both cylinders
Volume is calculated as:
[tex]Volume = \pi r^2h[/tex]
For A:
[tex]V_A = \pi r^2*9[/tex]
[tex]V_A = 9\pi r^2[/tex]
For B:
[tex]V_B = \pi (3r)^2 * 9[/tex]
[tex]V_B = \pi *9r^2 * 9[/tex]
[tex]V_B = 9* 9\pi r^2[/tex]
In (a): [tex]V_A = 9\pi r^2[/tex]
So, we have ve:
[tex]V_B = 9*V_A[/tex]
[tex]V_B = 9V_A[/tex]
If the first cylinder can fill 1, then the second can fill 9 pitchers
solve help
3+ x + 4 =
Answer:
7+x
Step-by-step explanation:
Add 3 and 4
3+4= 7
You can't add x since it's a variable so you just leave it as it is.
Hope this helps!
Solve the exponential equation for x.
Answer:
c. x=-2
Step-by-step explanation:
256=(1/4)^(3x+2)
㏒(1/4) (256)=3x+2
-4=3x+2
3x=-6
x=-2
PLEASE ANSWER THIS QUESTION RIGHT.What piece of information does c identify in the following equation?
y=ax2+bx+c
A new tire had a tread depth of
5
8 in. After driving one year the tire had
17
32 in. of tread remaining. What percent of the tread was worn?
Answer:
15%
Step-by-step explanation:
17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n
B 56
Step-by-step explanation:
Please help I’m begging someone p,ease help I can’t do this anymore help
Answer:
-5.99
-3
-6
-5.9
-1
-5.999
-5
2
Step-by-step explanation:
All these numbers are greater (or equal to) -6 because they are closer to 0
Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
The angles of a triangle add up to 180°.
∠4 = 180°-35°-90° = 55°
Help pleeeeaase!! Marking most Brainly
129-7+6
va dau coroana
Answer:
The correct answer is 128
It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]
9= 3 3_4- 2 7_8- b
B?
Answer:
Step-by-step explanation:
9 - 3¾ - 2⅞ = 3⅜
He gave his grandmother 3⅜ pounds of apples.
Can you guys please help!
Answer:
5 for the first and 4x for the second one also plz give heart
Step-by-step explanation:
i just know
please help it’s urgent!!
Answer:
Perimeter= a1+a2+a3
P= 20+ 15+ 25= 60 units
Calculate the monthly share of annual expenses and find the total monthly expenses.
Annual Expenses: $3,494.04
Living: $475.75
Fixed: $679.65
Monthly share of Annual:
Total Monthly Expenses:
Answer:
918,14
Step-by-step explanation:
3,494.04
679.65
= 918,14
Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?
Answer:
5 Miles
Step-by-step explanation:
First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.
Answer: How many miles can he run in one hour?
six miles
But for a normal person it's one mile per 10 minutes or about six miles per hour.
write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY
Answer:
The answer is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x - 5 = y
6 - 5 = 1
Hope that helps!
I need help answering this please
Answer:
DF = 20.4
Step-by-step explanation:
The figure given is a kite.
A kite has two set of opposite sides that are congruent. And the diagonals bisect each other. Thus,
∆DEH is congruent to ∆FEH, therefore, DH = HF
Use pythagorean theorem to find DH:
DH² = DE² - EH²
DH² = 15² - 11²
DH² = 104
DH = √104
DH = 10.2 (nearest tenth)
DF = 2(DH)
DF = 2(10.2)
DF = 20.4
please help me asap!
Answer:
ST=18
Step-by-step explanation:
Find the value of the variable. A
610
790
Answer: Allie made a 240- mile trip in just 4 hours.
Step-by-step explanation:
Given that 7x – 4y = 6
Find x when y=9
Answer:
6
Step-by-step explanation:
Substitute y for 9: 7x - 36 = 6
Add 36 to both sides: 7x = 42
Divide both sides by 7: x = 6
It's 6, do you need something more simplified?
(–8x + 7y) + 9y + (–8x)
Drag each tile to the correct box.
Match each equation with its solution.
x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight
x - 6 = - 4
Answer: x = 2
x + 3 = -7
Answer: x = -10
5x = -2
Answer: x = -0.4
0.5x = 5
Answer: x = 10
The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively
Solving equationsGiven the following equations
x − 6 = -4
Add 6 to both sides
x - 6 + 6 = -4 + 6
x = -4 + 6
x = 2
For the equation x + 3 = -7
Subtract 3 from both sides
x + 3 -3 = -7 - 3
x = -10
For the equation 5x = -2
x = -2/5
x = -0.4
For the equation
0.5x = 5
x = 5/0.5
x =10
Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively
Learn more on equation here: https://brainly.com/question/2972832
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It takes 213 yards of denim to make one pair of jeans. How many yards would it take to make 5 pairs of jeans?
Answer:
1,065
Step-by-step explanation:
Multiply 213 by 5 to get your final answer.