Answer:
[tex]\frac{7^2}{p^8 \cdot q^9}[/tex]
Step-by-step explanation:
[tex]\frac{p^{-8}}{7^{-2}} \cdot q^{-9} = \frac{\frac{1}{p^8}}{\frac{1}{7^2}} \cdot \frac{1}{q^9} = \frac{7^2}{p^8 \cdot q^9}[/tex] by the definition of negative exponents: [tex]a^{-b} = \frac{1}{a^b}[/tex] for all [tex]a,b[/tex] so long as [tex]a\ne 0[/tex].
The value of the exponential equation is A = 7²q⁹ / p⁸
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = p⁻⁸ / 7⁻² ( q ) ⁻⁹ be equation (1)
On simplifying the equation , we get
A = 7² ( q ) ⁹ / p⁸
Therefore , the value of A is 7²q⁹ / p⁸
Hence , the exponential equation is A = 7²q⁹ / p⁸
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Question 5
How much food can this container hold? Express your
answer in terms of pi.
Solve the system of linear equations by graphing.
y = x-7
y = -2x + 5
Answer:
4
Step-by-step explanation:
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
Parking at the posh center costs d dollars per hour during the off hours and an extra $3 per hour during peak hours. During holidays, the basic rate of d doubles. Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
THINGS TO REMEMBER:
the variable d represents dollarsCosts an extra $3 per hour during peak hoursWhile holiday's are going on the amount of d doublesFind how much parking would cost on a holiday during peak hour's-----
Question: Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
-----
Answer: 3d × 2 or 3d + 3d
-----
Explanation: This is because during holidays the amount of d doubles. However since this is on a holiday DURING peak hours it would be 3d × 2
-----
Question 2: Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
-----
Answer: $15
-----
Explanation: Since d represents dollars we would multiply 2.50 times 3 which would give us 7.5 then we double this since it is during holidays giving us $15
-----
NOTE: I AM SO SORRY IF THIS IS WRONG AND I MISSED SOMETHING. IF IT IS WRONG THEN PLEASE MAKE SURE TO TELL ME SO I CAN FIGURE OUT WHAT I MISUNDERSTOOD
Again I'm sorry but I hope I helped a little bit.
help me out yall pleaseeee
Dora is thinking of a number between 500 and 600
When she divides it by a 1-digit number it has a remainder of 4
What could Dora’s number be?
9514 1404 393
Answer:
500 ÷ 8 = 62 r 4, for example
Step-by-step explanation:
In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.
The corresponding numbers could be any of ...
504 +5n . . . 0 ≤ n ≤ 19
502 +6n . . . 0 ≤ n ≤ 16
501 +7n . . . 0 ≤ n ≤ 14
500 +8n . . . 0 ≤ n ≤ 12
508 +9n . . . 0 ≤ n ≤ 10
__
For example, with the divisor being 6, and n=13, the number could be ...
580 = 6·96 + 4
Find values for a and b so that 2(3x+5)+ax=5(4x−b) is an identity equation.
Answer:
a=30 b=2 (not sure)
Step-by-step explanation:
Simplify first part : 2*3x+ 2*5= 6x+10+ax
Simplify 2nd part : 5*4x-5*b. 5x-5b
we have: 6x+10+ax=20x-5b.
we minus 6x from both sides
10+ax=14x+5b
Minus 10
ax=14x+5b-10
Divide x
a=14+5b-10
a=4+5b
divde 5
a/5= 4+b
perhaps it is 30
30/5=4+b
6=6
but i am not sure
Kelly is reading a 440-page book. During the past 5 days she has read 275 pages. At this rate, how many more days will it take her to complete the book? 3 days Ada
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
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You roll a 6-sided die.
What is P(even)?
Write your answer as a percentage.
Which number is an integer?
Answer:
there is no question for me to tell you what it is
On a map, 2.7 inches = 60 miles. How far apart are two cities if they measure 4.5 inches
apart on the map?
Answer:
120 miles
Step-by-step explanation:
2.7 times 2 is 4.5, so 60 times 2 is 120 (you're basically doubling both.)
SOMEONE PLSS HELP!
Dwayne’s goal is to run 1 mile in 8 minutes or less. In order to predict when he will reach his goal, he drew a trend line that fits along the data points. He extended the trend line to week 8. According to the line, will he reach his goal by week 7? By week 8?
Answer:
where's the line? Can't answer it without it.
Richard bought 3 peaches and 1 orange and spent $3.50. Peaches are $0.85 each. If there is no sales tax on fruit, how much did the orange cost?
A.$0.66
B.$0.88
C.$0.95
D.$2.65
Answer:
D. $2.65
Step-by-step explanation:
0.85 x 3 = 2.55
The orange cost 10 cents.
please help i will give brainliest
Answer:
437/4x^5/328^1/2-445^1/21Step-by-step explanation:
hope this helps...
have a nice day
On the unit circle, which of the following angles has the terminal point coordinates ( -v2/2 , -v2/2)
Answer:
Step-by-step explanation:
A unit circle means radius of the circle = 1 unit
Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.
Center of the circle is origin (0, 0).
Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) =
OP.Cosθ = 1×Cosθ =
Cosθ =
θ = , where n = integers
Similarly, OP×Sinθ = 1×Sinθ = -
Sinθ = -
θ = , where n = integer
Common value of θ will be, θ =
Option B will be the answer.
Find the midpoint M of the line segment joining the points P=(4,-7) and Q=(-6,-3)
Answer:
midpoints (-1, -5)
Step-by-step explanation:
midpoints
[tex] ( \frac{4 + ( - 6)}{2} \: \frac{ - 7 + ( - 3)}{2} )[/tex]
[tex]( \frac{4 - 6}{2} \: \frac{ - 7 - 3}{2} )[/tex]
[tex]( \frac{ - 2}{2} \: \frac{ - 10}{2} )[/tex]
[tex]( - 1 \: - 5)[/tex]
Round 7.954 to the place named.
Hundredths
Answer:
The answer is 7.95
Step-by-step explanation:
I hope I helped.
The prom committee has no more than $600 to spend on centerpieces for the prom. If each centerpiece costs $25, what is the maximum number of centerpieces the committee can buy?
Answer:
600/25 = 24
Brainiest plz :)
Answer:
600/25 = 24
Have a good day I hope this helps.
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
Kevin made 4 of his 6 shots on goal at soccer practice if he continues to shoot in the same manner throughout the practice how many shot would he make out of 72
Function g can be thought of as a translated (shifted) version of f(x)=|x|.
What is the equation for g(x)?
Answer:
Step-by-step explanation:
g(x) = |x+4| +6 ( to go 4 to the left and 6 up)
if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater
Answer:
4/9
Step-by-step explanation:
P(≥3 and ≥3) = 4/6 x 4/6 = 4/9
1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18
Answer:
Only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Step-by-step explanation:
Given the expression
(5x+6) over 2 = 3-(4x + 12)
Let us simplify the expression
[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]
Multiply both sides by 2
[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]
[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]
Expand -(4x + 12) = -4x - 12
[tex]5x+6=-8x-18[/tex]
Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].
Further solving
[tex]5x+6=-8x-18[/tex]
Add 8x from to both sides
[tex]5x+8x=-8x-24+8x[/tex]
Simplify
[tex]13x=-24[/tex]
Divide both sides
[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]
Simplify
[tex]x=-\frac{24}{13}[/tex]
Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Answer:
E. 5x + 6 = -8x – 18
Step-by-step explanation:
Hope this will help
You can purchase 2 sodas for 3 dollars, how much does 6 sodas cost?
Answer:
It costs $9
Step-by-step explanation:
Lets look at the ratio:
2/3
We need x:
6/x
Make an equation using the butterfly method:
3(6) = 2x
Simplify:
18=2x
Divide both sides by 2:
x=9
It costs $9
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answer:
Step-by-step explanation:
HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?
Answer:
50%
Step-by-step explanation:
1. What is the value of n in -57 - n = -144?
A-201
B-87
C 87
D 201
Answer:
C=87
Step-by-step explanation:
To isolate the variable, you need to take away -57 by adding it to -144.
Then, you'd see:
-n=-87
Next, you divide both sides by -1 to get 87
What is the volume of the triangular prism below?
7 yd
18 yd
12 yd
Step-by-step explanation:
V = 1/2 a x c x h
1/2 * 7*12*18 = 756 yd ^3
A LOT OF POINTS!!!! PLZ ANSWER
Answer:
f(3x)= 3x+5/6x+2
substitute the value of X in the given question.
if u want simplified form then u can try rationalising.
f(3x)= 3x+5/6x+2 hope helped thanks for points