please help!! Please give step by step so i can understand
Find p in the equation ( attached photo of the equation)
Answers
Answer:
p = - 14
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Note 81 = 9² and 729 = 9³
Given
[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]
= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]
= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]
= [tex]9^{-8-(6-3p)}[/tex]
= [tex]9^{-8-6+3p}[/tex]
= [tex]9^{3p-14}[/tex]
Thus
[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]
Since bases on both sides are equal then equate the exponents
4p = 3p - 14 ( subtract 3p from both sides )
p = - 14
Related Questions
Solve using order of operations
Problem #1: 5 + 8: 2 - 7
Problem #2:12 X 3 - 42 + 20
Problem #3:4 :1 +8 X 2
Problem #4:17 x 3 + 15 : 3
Answers
2. 14
3. 20
4. 56
if the : means something other than division then these r wrong sorry
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, T minutes since she left home. what number type is more appropriate for the domain
Answers
Answer:
Real numbers
0≤ t ≤17
Step-by-step explanation:
Answer:
Real numbers
0≤ t ≤17
Step-by-step explanation:
Plz help fast only given 5 mins tell if they are similar or not
Answers
Answer:
They are not similar.
Step-by-step explanation:
QP would be equal to FP if they were equal but they aren't equal so....yeah
If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.
Please show all work and not just the answers.
Answers
Answer:X is 3
Step-by-step explanation:
We add 2x -8 plus x +17 equals 0.then group the like terms together.2x + x=8-17.
If f(x) = 1/9x - 2, what is f^-1 (x)
Answers
Greetings from Brasil...
For reverse function, just invert the X by the Y and vice versa.
Note that F(X) = Y and F⁻¹(X) = Y⁻¹
F(X) = 1(9X - 2) ⇔ Y = 1(9X - 2)
replacing X with Y⁻¹
X = 1(9Y⁻¹ - 2)
Y⁻¹ = (2X + 1)/9XIn a class full of men and women, 2/9 of the class are women. What is the ratio of men to
women in its simplest form?
Answers
Answer:
2:7
Step-by-step explanation:
if 2/9 of the class are women then 7/9 of the class are men.
[tex]\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9[/tex]
Help please I will mark brainliest!
Answers
Answer:
multiply 8 x 4=22
Step-by-step explanation:
Answer:
multiply 8 x 4=22
somebody PLEASE help me on its URGENT DO NOT waste my answers PLEASEE help me it’s GEOMETRY
Answers
Answer: The SSS postulate would be those three letters.
Step-by-step explanation:
Here's how I got my answer:
Since you know that two pairs of sides are congruent and that the two triangles lie on the same side, then you can conclude that all three pairs of sides are congruent. Therefore, use the SSS postulate (Side-Side-Side) as the proof that the two triangles are congruent.
What is the perimeter of a square with a side length 6x-5
Answers
Answer:
24x - 20
Step-by-step explanation:
Side = 6x - 5
Perimeter of square = 4 * side
= 4 * (6x - 5)
Use distributive property
= 4*6x - 4*5
= 24x - 20
Answer:
24×-20
Step-by-step explanation:
formula=4L
4(6×-5)
24×-20
what is 67 divided by 4.7? round to the nearest hundredth.
Answers
Answer:
14.26
Step-by-step explanation:
brainliest plz
Can anyone help?i been going at this for a while and i still cant figure it out, i dont really understand how to even get the answer id appreciate some help :D
Answers
Answer:
A) 44.26
B) 9.43
C) (2.5,3.5)
D) OH
E) 26.26
Step-by-step explanation:
Let’s figure out the lengths first. Three are straight line, so are easy:
HE=9, SE=11, SU=9
The other two, you need to use the distance formula or Pythagorean Theorem. OH=8²+5²=c² = 64+25=c² = 89=c² = √89 = 9.43
OU=3²+5²=c² = 9+25=c² = 34=c² = √34 = 5.83
Now we can start answering the questions.
A) 9+11+9+9.43+5.83=44.26
B) 9.43
C) You already have: (2.5,3.5)
D) OH=9.43. EH=9. OH is longer.
E) HU is 11. OH is 9.43. OU is 5.83. 11+9.43+5.83=26.26
Use rounding to estimate the quotient.
415 = 8
5
6
50
60
Answers
Answer:
50
Step-by-step explanation:
415 is closer to 400, so just divide that by 8 to get 50.
3.48 gallons of milk is sold for $10.16. If you want to buy 10.83 gallons of milk, how
much will you have to pay?
Answers
Answer:
$31.62
Step-by-step explanation:
Assuming the price is proportional to the volume, your price will be ...
price/(10.83 gal) = ($10.16)/(3.48 gal)
price = $10.16(10.83/3.48) ≈ $31.62
You will have to pay $31.62.
The Roe family of four showers once a day with an average of 10 minutes per shower. The shower has a flow rate of 5 gallons per minute. How many gallons of water does the family use in one year?
Answers
4 people x 10 minutes each = 40 minutes per day.
5 gallons per minute x 40 minutes = 200 gallons per day.
200 gallons per day x 365 days per year = 73,000 gallons a year.
Sarah is driving her car down George Street to meet her friend at a cafe. What is the angle of the turn she needs to make on to Green Street to get to the cafe?
Answers
Answer:
100 degrees
Step-by-step explanation:
George Street I assume is the one with the red line.
So she has to turn 40 + 60 = 100 degrees to go to Green Street
Helene's marching band needs more to travel to a competition. Band members have raised $520. They need to raise a total of $1,630. Enter and solve an equation to find how much money they need. Show that your answer is reasonable. Let m represent your variable.
Answers
Answer: $1,110 is what they need
Step-by-step explanation:
520+ m= 1630
1630- 520= 1110
m= 1110
What is 3 + (-9) in integers
Answers
Answer:
- 6
Step-by-step explanation:
3 - 9 = -6
Answer:
-6Step-by-step explanation:
[tex]3 + (-9) \\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=3-9\\\\\mathrm{Subtract\:the\:numbers:}\:3-9\\=-6\\[/tex]
You have $138 in a savings account and save $12 per week. Your friend has $98 in a savings account and saves $17 per week. How many weeks will it take for you and your friend to have the same balance?
Answers
Solution
Provided :-
• I have $138
• I save $12 per week
• Friend have $ 98
• He saves $17 per week
Let the number of weeks required to have same balance be x
→ 138 + 12x = 98 + 17x
→ 138 - 98 = 17x - 12x
→ 40 = 5x
→ x = 8
So we need 8 weeks
Answer: 8 weeks
Step-by-step explanation:
Let x = the number of weeks
138+12x=98+17x
40+12x=17x
40=5x
x=8
Hope this helps!! :)
Please let me know if you have any question
I
5. A shirt that you want to buy costs
$15.50. You can use a $5 discount
coupon if you spend at least $20.
Write and solve an inequality that
represents how much more you
must spend to use the $5 coupon.
Answers
Pls help ASAP I will give Brainlyist
Answers
Answer:
A
Step-by-step explanation:
I hope this helps you
The three tools the Federal Reserve uses to enact monetary policy are
Answers
Answer:
A,C, & D
Step-by-step explanation:
Answer:
Step-by-step explanation:
B,A, and C
What type of number is 37.9?
A. Real
B . Imaginary
C. Complex
Answers
Answer:
A. Real number
Step-by-step explanation:
Fact :Real numbers that include decimal points are known as floating point numbers because the decimal floats within the numbers.
The number 37.9 is a real number which is the correct option (A).
What are real numbers?Real numbers are defined as the value of a continuous quantity that can represent a distance along a line a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.
Given that number is 37.9
Due to the fact that decimal places can move about within real numbers containing decimal points, these numbers are referred to as floating point numbers.
Hence, the number 37.9 is a real number.
Learn more about complex numbers here:
brainly.com/question/19007885
#SPJ2
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
Answers
Answer:option 1
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
Simplify the following algebraic expression:
- 2(x - 1) + 3(6x – 7)
Answers
Answer:
16x-19
Step-by-step explanation:
Step-by-step explanation:
Hey, there!
While simplifying the algebraic expression you must remember: multiply or take LCM first and then add or or subtract like terms then if there is division then you may cut like terms of numerator and denominator.
Here,
[tex] - 2(x - 1) + 3(6x - 7)[/tex]
Is given.
Multiply (x,-1) by -2 and (6x,-7) by 3.
[tex] (- 2x + 2) + (18x - 21)[/tex]
open brackets.
[tex] = - 2x + 2 + 18x - 21[/tex]
Add and subtract like terms.
[tex] = - 2x + 18x + 2 - 21[/tex]
[tex] = 16x - 19[/tex]
Therefore, the answer is (16x - 19).
Hope it helps.....
MDM4U
11. Avery and Bradley work at a large electronics manufacturer that produces DVD players. The
defective rate on the assembly line has gone up to 12% and the manager wants to know the
probability that a skid of 50 DVD players will contain at least 3 defective units.
a) Help Avery use the binomial distribution P(x)=, C.pqrs to answer this question
Answers
Answer:
0.9487
Step-by-step explanation:
a) The probability of having a defective product = p = 12% = 0.12
The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88
The number of DVD players = n = 50
X is the number of defective products.
The probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Using binomial:
P(X = 0) = [tex]C(n,x)p^xq^{n-x}=C(50,0)p^0q^{50-0}=\frac{50!}{(50-0)!0!}*0.12^0*0.88^{50-0}=0.0017[/tex]
P(X = 1) = [tex]C(n,x)p^xq^{n-x}=C(50,1)p^1q^{50-1}=\frac{50!}{(50-1)!1!}*0.12^1*0.88^{50-1}=0.0114[/tex]
P(X = 2) = [tex]C(n,x)p^xq^{n-x}=C(50,2)p^2q^{50-2}=\frac{50!}{(50-2)!2!}*0.12^2*0.88^{50-2}=0.0382[/tex]
P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513
P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%
how did orgo change the flat tire on a 747
Answers
Depends on your level of skills for one. Let's say you can replace a tire on a car within 30 min to 1 hr from the time you open the trunk to get the replacement.
If F is the midpoint of DE, DF = 3x+5 and FE = 5x-19 , Find DF
Answers
Answer:
41
Step-by-step explanation:
when there is midpoint it bisects the segment(cuts it in equal halfs)
3x+5 = 5x-19
3x + 24 = 5x
24 = 2x
12 = x
3(12) + 5 =
36 + 5
41
Answer:
The value of segment DF is 41 units.
Step-by-step explanation:
If we know that F is the midpoint of DE, we can conclude that DF and FE have the same value. This lets us set up the following equation:
DF = FE, which when we substitute in our given values is:
3x + 5 = 5x - 19
The next step is to solve this equation. We should start by subtracting 3x from both sides of the equation.
5 = 2x - 19
Then, we can add 19 to both sides of the equation.
24 = 2x
Finally, we can divide both sides by 2.
x = 12
Now that we have a value for x, we need to find the length of DF. To do this, we can just plug in our value for x into the given expression for DF and simplify.
DF = 3x + 5 = 3(12) + 5 = 36 + 5 = 41
Therefore, the correct answer is 41.
Hope this helps!
Why can’t you use the product of powers rule to simplify this expression? Explain. 34 · 28
Answers
Sample Answer: To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.
Answer:
To apply the product of powers rule, the bases must be the same.
In this example, the bases are 2 and 3, so they are not the same.
Step-by-step explanation:
The coordinates of the midpoint of GH¯¯¯¯¯¯¯¯are M(−132,−6) and the coordinates of one endpoint are G(−4, 1).
Answers
Answer: (-260, -13)
Step-by-step explanation:
To find the midpoint of a line we find the average of x coordinates and the average of the y coordinates.So since two of the endpoint is already given we could find the midpoint by setting and equation up.
[tex]\frac{-x+(-4)}{2} = -132 x= -260[/tex]
The same way for the y coordinates
[tex]\frac{y+(1)}{2} = -6[/tex] y = -13
breifly describe the rules of multiplying and dividing integers
Answers
Answer:
Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
Step-by-step explanation:
Step-by-step explanation:
in multiplication:-
- × - = +
+ × - = -
- × + = -
+ × + = +