Answers
Answer:
a = -4
Step-by-step explanation:
[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]
[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]
[tex] -2a - 2 = a + 10 [/tex]
[tex] -3a = 12 [/tex]
[tex] a = -4 [/tex]
Related Questions
What is the length of the longest side of a triangle that what is the length of the longest side of a triangle that has vertices at (-4,2), (-4,6), and (4,2)?
O A.
415 units
OB.
573 units
OC.
73 units
OD.
V90 units
Answers
Answer:(-4,6)
i dunno it in units lol sowwy
Step-by-step explanation:
using binomial expansion evaluate (0.99)^6
Answers
Answer:
.92367 I think. I'm I'm wrong I'm sorry
Can y’all help me please I need help
Answers
Answer:
503 inches (rounded to the nearest whole number)
Step-by-step explanation:
First, we must calculate the wheel's circumference, or in other words, the distance around the wheel. We can do this by using the below equation:
[tex]C=\pi d[/tex] when [tex]d[/tex] is the diameter
Because we know that the wheel's diameter is 16 inches, we can plug it into the equation:
[tex]C=\pi (16)\\C=16\pi[/tex]
Now, because we know that the wheel makes 10 revolutions, we calculate the distance it travelled by multiplying the circumference by 10.
[tex]16\pi *10\\= 160\pi[/tex]
[tex]= 503[/tex] inches when rounded to a whole number
Therefore, the wheel travelled approximately 503 inches.
I hope this helps!
x/(x-2)*(x+2)*(x-1) into partial fraction
no matter how many times i redo it my answers just not matching with that of my books. can we have different answers?
Answers
Answer:
((-1 + x) (2 + x) X)/(-2 + x)
Step-by-step explanation:
1 (x^(2)x)/(x-2)+(xx)/(x-2)-(2x)/(x-2)
2 (x(x+1)-2)x)/(x-2)
3 (x(xx+x)-2x)/(x-2)
4(x^(2)x+xx-2x)/(x-2)
5 (-2 + x + x^2) X)/(-2 + x)
Root
X = 0 , X-2=0
Roots
X=-2
X=1
Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?
Answers
Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.
Step-by-step explanation:
Answer:
The ratios change as the position of D changes, but the two ratios remain equal to each other
Step-by-step explanation:
What are the coordinates of the x-intercept of the line 3x - 2y = 12?
Answers
Answer:
(4,0)
Step-by-step explanation:
Home work
Give (2) advantages and
disadvantages of modern
and traditional Kitchen
Answers
Answer:
modern kitchen=sandwich,Chinese food etc.
traditional kitchen = roti,sabji indian food etc.
can someone please help my question is the sum of six and c
Answers
Answer: i dont know
Step-by-step explanation:
One fifths the difference between 2/5 and 1/2
Answers
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5/10 - 4/10 = (5-4)/10 = 1/10
1/5 * 1/10 = 1/(5*10) = 1/50 = 0.02
Answer:
1/50
Step-by-step explanation:
1/2 - 2/5 = 5
/10 - 4/10 =
1/10 / 5 =
1/50
Hope that helps!
How much will it cost Tom if he used his cell
phone for 850 minutes in one month?
Tom's basic cell phone plan charges
$79.99 for service plus $0.18 per minute
beyond the included 800 minutes in the
plan. How much will it cost Tom if he used his cell phone for 850 minutes in one month?
Answers
Answer:
88.99
Step-by-step explanation:
his plan includes 800 minutes for 79.99, all we need to do is calculate the cost of the extra 50mins he used and add it to 79.99. this is ((850-800)*0.18) +79.99 and this is equal to 88.99
$0.18 X 50 minutes over the included 800
Total = $79.99 + $9 = $88.99
Which equation has the steepest graph?
Answer Choices:
y = 2x + 4
y = -4x – 1
y = 1/2 x + 10
y = 5x + 2
Answers
Answer:
y = 5x + 2
Step-by-step explanation:
in order to find if a line is steeper, you need to look at the slope
the greater the slope, the steeper the line will be
y = 2x + 4
y = -4x - 1
y = 1/2x + 10
y = 5x + 2
out of all of these options, y = 5x + 2 has the largest slope. this means that it is the steepest one.
What is the value of the expression 8x + 9 when x=7?
Answers
8x => 8 x 7 = 56
8x + 9=
56 + 9 = 65
1/2
¿Cuántos envases de 1/2 de litro
se pueden llenar con el líquido de
una tina de 12 litros?
Answers
Find the missing lengths or missing angles
Answers
Answer:
hj=6
because it's angle are equal and equilateral triangle have equal angles so, the length is 6
Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85, find the variance. Round answer to 4 decimal places. Answer:
Answers
Answer:
a) P(X=1) = 0.302526
b) P(X=5) = 0.010206
c) P(X=3) = 0.18522
d) P(X≤3) = 0.92953
e) P(X≥5) = 0.010935
f) P(X≤4) = 0.989065
If helpful, please mark as brainliest! =)
Given a random variable x following binomial distribution. If n = 25 and p = 0.85, the variance = 3.1875.
What is variance of binomial distribution?
Variance of the binomial distribution is a measure of the dispersion of the probabilities with respect to the mean value. The variance of the binomial distribution is σ² = npq, where n is the number of trials, p is the probability of success, and q is the probability of failure.
Given random variable x follows binomial distribution.
n = 25
p = 0.85
q = 1 - 0.85 = 0.15
variance = npq = 25 * 0.85 * 0.15 = 3.1875
Learn more about variance of binomial distribution here
https://brainly.com/question/19052146
#SPJ3
8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?
PLEASE HELP
Answers
Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.
Notice that I expressed cost in terms of cents so
that we can avoid having to deal with decimals.
In our second equation, 4 slices of pizza and
10 sodas cost $37, that's 4p + 10s = 3700.
Now let's rewrite our two equations on top of one another.
8p + 5s = 3650
4p + 10s = 3700
To solve this system of equations, I would use addition.
I would multiply the bottom equation by -2
to create a situation where our p's will cancel.
When we do that, we get -8p - 20s = -7400.
Now rewrite the equations once again ~
8p + 5s = 3650
-8p - 20s = -7400
Now add the equations together.
So we have -15s = -3,750.
Divide both sides by -15 and s = 250.
Remember that I expressed cost in terms of cents so
since s = 250, it really means that a soda is $2.50.
Now just plug an s back in for the s in one equation.
When we do this, we find that p = 300.
So a pizza is $3.00
) Farmer Ben has only ducks and cows 24 in total. He can’t remember how many of each he
has. He knows that the animals have a total of 66 legs. Assuming that each animal has all legs intact
and no extra limbs, how many of each animal does farmer Ben have? Draw a clear diagram to answer
this question.
can you pleas help and show your work :)
Answers
Answer:
9 cows, 15 chicken
Step-by-step explanation:
9 x 4 = 36
15 x 2 = 30
9 + 15 = 24
36 + 30 = 66
Norton Corp. does not elect the fair value option for recording its financial liabilities. The discount resulting from the determination of a note payable's present value should be reported on its balance sheet as a(n)
Direct reduction from the face amount of the note.
Deferred charge separate from the note.
Deferred credit separate from the note. Addition to the face amount of the note.
Answers
Answer:
más bien ya otro día sera
Find the slope from the graph.
Answers
Answer:
1/6
Step-by-step explanation:
Answer:
-2/3
Step-by-step explanation:
rise=-2
run=3
rise/run(slope)=-2/3
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
Answers
Grayson took out a loan for $900. In 18 months, he paid $54 in simple interest. What was the interest rate on Grayson's loan?
Answers
Answer:
.
Step-by-step explanation:
A coffee table is on sale for 20% off the original price of $115. If there is a 6% sales tax, what is the final price of the coffee table?
Answers
Answer:
$97.52
Step-by-step explanation:
(original price) 115 - (discount) 23 = 92 (new price)
92 plus 6% sales tax = $97.52 (final price)
The mass of carbon is 1.995 x 10^-23 grams per atom and the mass of hydrogen is
1.674 X 10^-24 grams per atom. Which is larger?
Answers
Answer:
Carbon
Step-by-step explanation:
When the power of 10 is negative, the less the exponent the bigger the number
Answer:
Step-by-step explanation:
the larger number is 1.995x10^-23
can someone please help me
Step-by-step explanation please
Answers
Answer:
x=3
Step-by-step explanation:
AB+BC>AC
2x + 3 + x + 1 > x + 10
we correct like terms
2x + x + 3 + 1> x+ 10
3x + 4> x + 10
3x - x > 10-4
2x > 6
divide both sides by 2
2x÷2 > 6÷2
x = 3
7. What is the DEGREE of the following binomial:
3x-2
Answers
Ill give u the brainlest if u are correct please hurry and show how u got ur answer
1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?
Group of answer choices
There are 3.7 minutes for every 1 shingle put on the roof.
For every 3 minutes, there are 11 shingles put up.
There is 1 minute for every 0.27 of a shingle.
It takes 3.7 minutes to put up 22 shingles.
2..A researcher decides to study study frogs in a local forest. Funding for his project says:
2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.
Which of the following is the correct ratio of forest to office time?
Group of answer choices
4.8
0.2083
12.5
0.08
3.Which of the following is equivalent to the ratio 5?
You don't have to show work for this problem.
Group of answer choices
1:5
5 to 1
1/5
0.2
4.Consider the number: 105,279,083,000
Which digit is in the ten billions place?
You don't have to show work for this problem.
Group of answer choices
7
5
9
0
5.Write the following number in correct scientific notation: 13.8 billion
You don't need to show work for this problem, but it's a good idea.
Group of answer choices
1.38 x 10^-10
1.38 x 10^10
13.8 x 10^9
1.38 x 10^7
Answers
Answer:
B or every 3 minutes there is 11 put up
Step-by-step explanation:
So 22 and 6 we divide them by 2 we get 11 and 3
3.7 x 2 is 22.2 so it’s just a bit over out 22
0.27 x 6 is 1.62 which is not 22
so my conclusion it’s 11 shingles put up each minute
Which table represents a linear function?
Х
1
2
3
4
y
--2
-6
-2
-6
Х
1
2
3
4
у
-2.
-5
-9
-14
Х
1
2
3
4
y
-2
-10
-18
-26
Х
1
2
у
|--2
-4
O
Answers
Answer:
The last table is the answer
Step-by-step explanation:
The last table has a constant slope of -3, hence it represents a linear function.
Table of functionsFrom the given table, we need to determine which of the table is a linear table.
To determine that, we must check which of the table has a constant rate of changeLooking at the last table;
Slope = -4-(-2)/2-1
Slope = -4+1/1
Slope = -3
Since the last table has a constant slope of -3, hence it represents a linear function.
Learn more on function here: https://brainly.com/question/3632175
The ratio of children to adults at a movie theater was 8:5. The theater sold 120 children tickets
that evening. How many adults attended the theater that night? How many tickets did the theater
sell altogether?
Answers
Answer:
75 adults
195 total tickets
Step-by-step explanation:
8:5
120:x
Please help me with steps
Answers
Answer:
224 cm³
Step-by-step explanation:
Decompose the figure into two cuboid.
Volume of the bigger cuboid = L*W*H
L = 7 cm
H = 7 cm
W = 4 cm
Volume of the bigger cuboid = 7*7*4 = 196 cm³
Volume of smaller cuboid = L*W*H
L = 7 cm
W = 2 cm
H = 2 cm
Volume of smaller cuboid = 7*2*2 = 28 cm³
✅Volume of the figure = 196 cm³ + 28 cm³ = 224 cm³
Which operation should you perform first when evaluating the expression:
3 to the power of 2+2
Answers
Answer: the power so ans should be 81
Step-by-step explanation:
