For what value of a does (1/9)^a+1 = 81^a+1 x 27^2-a?

Answers

Answer 1

The answer for a should equal to -3 in the equation given

Solution:
(1/9)^(a+1)=81^(a+1) x 27^(2-a), then the answer would be a=-3.

Answer 2

Answer:

-4

Step-by-step explanation:

Next time use the internet :)

Related Questions

two negative integers have a sum of -18 and a product of 80. what are the integers?

Answers

The two integers your looking for are -8, and -10. -8+-10=-18
-8*-10=80
Please rate brainliest if this helped you.

Hello!

The most reasonable answer would -8 and -10.

-8 * -10 = 80

-8 + -10 = 18

Hope I helped!

An item is priced at $13.04. If the sales tax is 5%, what does the item cost including sales tax? If necessary, round to the nearest cent.
A.
$13.56
B.
$13.24
C.
$12.39
D.
$13.69

Answers

The answer would be D

to find 5% you have to multiply by 0.05

13.04 * 0.05 = 0.652
When you round it to the nearest cent you get 69 cents
so the answer is D) 13.69

The population of a town increased from 5,400 to 6,000 people. What was the percent of the increase?

Answers

increase = 6000 - 5400 = 600

percentage increase = 600/5400 x 100 = 11.11%

Answer: 11.11%

{3, 4, 7} list all the subsets.

Answers

A subset is a collection of items drawn from the original larger set. A subset can have the same number of items as the original set or the count can be smaller.

Subsets that have 3 items: {3, 4, 7} which is the original set. Any set is a subset of itself.

---------------------------------------------------------------------------------------

Subsets that have 2 items
{3, 4}, {3, 7}, {4, 7}

---------------------------------------------------------------------------------------

Subsets that have 1 item
{3}, {4}, {7}

---------------------------------------------------------------------------------------

Subsets that have 0 items: the empty set which we write { } or using the symbol [tex]\varnothing[/tex]

---------------------------------------------------------------------------------------

So all together we have 8 subsets
{3, 4, 7}
{3, 4}, {3, 7}, {4, 7}
{3}, {4}, {7}
{ }

Side Note: There are n = 3 items in the original set so there are 2^n = 2^3 = 8 subsets possible. The collection of all subsets is known as a power set.

Final answer:

The subsets of {3, 4, 7} are {}, {3}, {4}, {7}, {3, 4}, {3, 7}, {4, 7}, {3, 4, 7}

Explanation:

When listing all the subsets of {3, 4, 7}, we include the empty set {}, as well as all the subsets that can be formed by selecting one or more elements from the original set. In this case, the subsets are:

{}{3}{4}{7}{3, 4}{3, 7}{4, 7}{3, 4, 7}

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Which of the following have been used to measure wealth in early societies?

Cows
Dogs
Grain
Land
Metals

Answers

The answer is cows, metals, land, and grains.

A translation is applied to the rectangle formed by the points A(−2, 6) , B(2, 6) , C(2, 4) , and D(−2, 4) . The image is the rectangle that has vertices A′(1, 6) , B′(5, 6) , C′(5, 4) and D′(1, 4) . Select the phrase from the drop-down menu to correctly describe the translation. The rectangle was translated .

Answers

The triangle was translated 3 units to the right horizontally. (x+3, y)
You can just move one of the points to see how it moved.

Answer:

The answer is 3 units to the right.

Step-by-step explanation:

What is the inverse of the function f(x)= 19/x^3 ?

Answers

[tex]f(x)=\dfrac{19}{x^3}\to y=\dfrac{19}{x^3}\\\\\dfrac{y}{1}=\dfrac{19}{x^3}\ \ \ \ |cross\ multiply\\\\yx^3=19\ \ \ \ |:y\neq0\\\\x^3=\dfrac{19}{y}\to x=\sqrt[3]{\dfrac{19}{y}}[/tex]
Answer: [tex]f^{-1}(x)=\sqrt[3]{\dfrac{19}{x}}[/tex]

A function has a domain of {1, 3, 5, 7} and a range of {2, 4, 6}. Which set of ordered pairs represents this function?

A.{(1, 2), (3, 4), (5, 6), (7, 2)}
B.{(1, 2), (3, 6), (5, 4), (5, 2)}
C.{(1, 2), (3, 2), (5, 2), (7, 2)}
D.{(1, 4), (3, 4), (5, 6), (7, 6)}

Answers

For this case we have the following domain:
{1, 3, 5, 7}
We have the following range:
{2, 4, 6}
A value of the range belongs to each value of the domain.
Therefore, the ordered pairs are:
(1, 2)
(3. 4)
(5, 6)
Answer:
A. {(1, 2), (3, 4), (5, 6), (7, 2)}

Which of the following segments is a radius of O?
Please help

Answers

Possibly B. RO. maybe even

ANSWER

The segment that is a radius is

[tex]\bar{RO} [/tex]

EXPLANATION

A radius is any line segment from the center of a circle to the circumference.

From the above diagram, the center of the circle is O.

The points on the circumference are A, R S and T.

The only line from the circumference to the centre in the options above is the line segment RO.

The correct answer is B.

Note however that

[tex]\bar{AS}[/tex]
is a diameter, which is a special chord.

[tex]\bar{RA}[/tex]

is a chord.

[tex]
\bar{ST}[/tex]
is also a chord.

Peaches varied directly as apples. when there were 40 peaches, there were 120 apples. how many apples went with 500 peaches?

Answers

Given that peaches varied directly as apples. then:
let the number of peaches be p and that of apples be a
hence
p=ka
where
k is constant of proportionality given by:
k=p/a
when:
p=40, a=120
thus
k=40/120=1/3
thus the equation will be:
p=1/3a
thus the number of apples where there are 500 peaches will be:
500=1/3a
multiplying both sides by 3 we get:
500×3=1/3a×3
a=1500

In the data set below, what is the mean absolute deviation?4461526If the answer is a decimal, round it to the nearest tenth.mean absolute deviation (MAD):

Answers

I assume that the numbers are: 4,4,6,1,5,2,6
If so, then the MAD is 1.43

To find the MAD, you first find the mean of the list. It is 4.
Then find the absolute difference of each number from the mean.

Those values are: 0,0,2,3,1,2,2
Now find the mean of those numbers and you have about: 1.43

Anyone know this geometry question? Will give brainiest

Answers

It's think it's C But I guessed

Robin says that polynomials are closed under division. Brad adamantly disagrees. Who is correct? Justify your answer.

Answers

Brad is correct.

Polynomials do not include negative exponents; this means there can be no variables in the denominator. If two polynomials do not divide evenly, the remainder is written as a fraction with the divisor (which can include a variable) in the denominator. This is not a polynomial.

A barn is an atomic unit of area equal to 10–28 m2. what is the surface area of the earth expressed in units of barn? assume the earth is a sphere with a radius of km. (the surface area of a sphere is 4πr2.)

Answers

the complete question in the attached figure

we know that
surface area of a sphere=4*pi*r²
for r=6380 km------->r=6380 x 10^3 m

surface area of of the earth=4*pi*(6380 x 10^3)²-----> 511506576035121,52 m²

if 1 barn is equal to-------------> 10^(-28) m²
x barn----------------------> 511506576035121,52 m²
x=511506576035121,5/(10^(-28))------> x=5.12 x 10^42 barn

the answer is5.12 x 10^42 barn

how do I solve this?

Answers

Distribute the exponent power of 2 to each term:
[2² * (√(3x⁵))² - 2² * (√y)²]

Now simplify. Placing a square root to the power of 2 just cancels each other out so you're left with:
[4(3x⁵) - 4y]

Simplify again for your answer:
12x⁵ - 4y

The chord AB is a diameter of O. True or false.

Answers

Answer:

False.

Step-by-step explanation:

We have been given a graph and a statement. We are asked to determine whether the given statement is true or false.

Statement: The chord AB is a diameter of O.

We know that diameter of a circle is a chord that passes through the center of the circle.

Upon looking at our given graph, we can see that chord AB doesn't pass through the center at point 'o', therefore, AB is not a diameter of circle O.

Therefore, the given statement is false.

Answer: False

Step-by-step explanation:

I just got it right on the quiz

You are painting a ceiling in a room. The room measures 30 feet by 40 feet. One gallon of paint costs $25 and covers 200 square feet. How much will it cost to paint the ceiling?
A. $6
B. $17.50
C. $150
D. $1,200

Answers

we know that
the area of the room=30*40------> 1200 ft²

1 gallon of paint cover----------------> 200 ft²
x---------------------------> 1200 ft²
x=1200/200------> x=6 gallons

1 gallon cost------------> $25
6 gallons-----------> x
x=6*25-----> x=$150

the answer is
the option C. $150

Answer:

C. $150

Step-by-step explanation:

we know that

the area of the room=30*40------> 1200 ft²

1 gallon of paint cover----------------> 200 ft²

x---------------------------> 1200 ft²

x=1200/200------> x=6 gallons

1 gallon cost------------> $25

6 gallons-----------> x

x=6*25-----> x=$150

the answer is

the option C. $150

Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach

Answers

Let a = cost of an apple and p = cost of a peach

From the two statements we can create the following system of equations:
2a + 3p = 1.65
3a + 2p = 1.60

Since we want to know the cost of a peach, let's eliminate the "a" terms by creating opposites. The LCM for 2 and 3 is 6 so I will multiply the top equation by 3 and the bottom equation by -2. This will create opposites to cancel "a" terms.
3(2a + 3p = 1.65) → 6a + 9p = 4.95
-2(3a + 2p = 1.60) → -6a - 4p = -3.20
The result of adding → 5p = 1.75
The result of ÷ 5 → p = .35
This means one peach cost .35 or 35 cents

Let number of apples be a and peaches be p.
Number of apples = a
Number of peaches = p

Two apples and three peaches cost $1.65
⇒2a + 3p = 1.65

Three apples and two peaches cost $1.60
⇒3a + 2p = 1.60

System Equations :
[tex]\begin{cases}&2a + 3p = 1.65 ---- (1) \\&3a + 2p = 1.60 ---- (2)\end{cases}[/tex]

[tex]\begin{cases}&\text{Equation (1}) \times3: 6a + 9p = 4.95 ---- (1a) \\&\text{Equation (2}) \times2: 6a + 4p = 3.20 ---- (2a)\end{cases}[/tex]

Equation (1a) - (2a) :
[tex] \begin{aligned} &5p = 1.75 \\&p = 0.35&\end{aligned} [/tex]

Answer: $0.35

Someone please help me?

Answers

because both AP and BP are tangent lines they are the same length so we will set them to equal each other to solve for x

AP = BP

3x-4 = 2x +12

subtract 2x from each side:

x-4 = 12

add 4 to each side:

x = 16

now we know x, replace x with 16 in the equation for AP:

AP = 3(16) -4
AP = 48 -4
AP = 44 meters

What is the equation for a line that passes through the points (-3,-3) and (6,21)?

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ -3 &,& -3~) % (c,d) &&(~ 6 &,& 21~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{21-(-3)}{6-(-3)}\implies \cfrac{21+3}{6+3}[/tex]

[tex]\bf \cfrac{24}{9}\implies \cfrac{8}{3} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-3)=\cfrac{8}{3}[x-(-3)] \\\\\\ y+3=\cfrac{8}{3}(x+3)\implies y+3=\cfrac{8}{3}x+8\implies y=\cfrac{8}{3}x+5[/tex]

The perimeter of a rectangle is 30 centimeters. The width of the rectangle is 6 centimeters. How long is the rectangle?

Answers

it is 9 because 9+9=18 and 18+6=24 and 24+6=30

A school play cost $1,200 to produce. if tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown. p=5x−1,200 what is the slope of the line representing this equation?

Answers

5.

Slope is always the number attached to x.

The slope of the line representing this equation will be;

⇒ $5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The tickets sold for $5 each, the profit, p, made on the play by selling x tickets is given by the equation shown,

⇒ p = 5x - 1,200

Now,

We know that;

The slope - intercept form of an equation is,

y = mx + c

Where, 'm' is slope of the line and 'c' is y - intercept.

Here, The equation is,

⇒ p = 5x - 1200

By comparing, we get;

⇒ Slope (m) = 5

Thus, The slope of the line representing this equation = 5

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Select the statement that is true. Answer Choices The sum of 0.12x2+0.3⎯⎯⎯ and 1.5x2−0.75 is 1.62x2+0.416 . -0.45x2+0.9 subtracted from 2.5x2−7.32 is -2.95x2+8.22 . The difference of 18.94x−0.4⎯⎯⎯ and -10.2x+4.5 is 8.74x−4.94⎯⎯⎯ . The product of 0.6⎯⎯⎯x+3.4 and -6x+5.7 is -4x2−16.6x+19.38 .

Answers

The operations given will be evaluated as follows:
1]
(0.12x^2+0.3)+(1.5x^2-0.75)
=(0.12x^2+1.5x^2)+(0.3+0.75)
=1.62x+1.05

2]
(2.5x^2-7.32)-(-0.45x^2+0.9)
(2.5x^2+0.45x^2)+(-7.32-0.9)
2.95x^2-8.22

3](18.94x-0.4)-(-10.2x+4.5)
=(18.94x+10.2x)+(-0.4-4.5)
=29.14x-4.9

4] (x+3.4)(-6x+5.7)
=x(-6x+5.7)+3.4(-6x+5.7)
=-6x^2+5.7x-20.4x+19.38
=-6x^2-14.7x+19.38

A professor wants to arrange his books on a shelf. he has 30 books and only space on the shelf for 20 of them. how many different 20-book arrangements can he make using the 30 books? this is an example of a problem that can be solved using which method?

Answers

This is an example of a problem that can be solved using combination.

The number of possible arrangements is
[tex]P\left(30,20\right)=\frac{30!}{\left(30-20\right)!\times 20!}=30,045,015[/tex]

There are 30,045,015 possible 20-book arrangements.

Answer: Total arrangement are 30045015

Given problem will be solved with help of combination.

Step-by-step explanation:

When we find the arrangement in which the order does not matter then we use combination,

Here, we have to find the possible arrangement in which order does not matter,

Thus, we will use combination to find the answer.

Here the total number of books = 30

A self contains, the number of book = 20,

Hence, the total arrangement of 20 books out of 30 books

[tex]=^{30}C_{20}[/tex]

[tex]=\frac{30!}{20!(30-20)!}[/tex]

[tex]=\frac{30\times 29\times 28\times 27\times 26\times 25\times 24\times 23\times 22\times 21}{10!}[/tex]

[tex]=\frac{4.9557887\times 10^{12} }{3628800 }=30045015 [/tex]

Due tomorrow. Please help!!!!

Answers

The common difference can be found from
[tex]d=\dfrac{a_{17}-a_{7}}{17-7}=\dfrac{81-41}{17-7}=\dfrac{40}{10}=4[/tex]
The first term of the sequence can be found from either of the given terms.
[tex]a_{7}=41=a_{1}+(7-1)d=a_{1}+24\\a_{1}=41-24=17[/tex]

The sum of 40 terms is
[tex]S_{40}=\dfrac{40}{2}(a_{1}+a_{40})=20(17+(17+39\cdot 4)=20\cdot 190=3800[/tex]

The sum of the first 40 terms is 3800.

If prices increase at a monthly rate of 1.1%, by what percentage do they increase in a year, What is the annual inflation rate

Answers

Suppose
P0=$1
A=P(1+r)^(td)
A=1(1+0.011)^12
A=1(1.011)^12
A=$1.1403

Yearly increase will therefore be 14.03%. Hence the inflation per year is 14.03%

Final answer:

To find the annual inflation rate when prices increase at a monthly rate of 1.1%, you use the formula for compounding interest, resulting in an approximate annual rate of 13.97%.

Explanation:

If prices increase at a monthly rate of 1.1%, to calculate the annual inflation rate, you should consider the compounding effect over the year. The general formula for finding the total percentage increase over multiple periods when compounded at each period is:

(1 + rate)^number of periods - 1.

In this case, the monthly rate is 1.1%, or 0.011 when expressed as a decimal. The number of periods (months) in a year is 12. Plugging these values into the formula gives:

(1 + 0.011)^12 - 1,

which calculates to:

1.011^12 - 1 = 0.1397 or 13.97%.

So, the annual inflation rate when prices increase at a monthly rate of 1.1% is approximately 13.97%.

answer these questions. Number 1 and number 2.

Answers

It would kinda make a triangle shape the others doesn't match and for the second one i'd be out of both cones.

1) The shape of the cross section is a triangle.

2) A cone, the top right one, is being formed by the rotation.

An acrobat was launched toward a water tank, with an upward velocity of 48 feet per second. The launch point was 32 feet below the water level in the tank. Use the quadratic equation 0 = -16t2 + 48t – 32 to find how much time, t, it took for her to reach the water level in the tank.

Answers

Answer:

1 or 2 seconds

Step-by-step explanation:

Math papa

Answer:

B. 1 or 2 seconds

Step-by-step explanation:

ttm

Complete the solution of the equation. Find the value of Y when X equals 2. 2x - 2y = 22

Answers

2x - 2y = 22

substitute 2 as the value of x.

we get;

2*2 -22 = 2y
4 - 22 = -18 = 2y
y = -9

The value of Y when x = 2 is y = -9

WHO LIKES PARABOLAS 3 MULTIPLE CHOICE
1. What is the vertex of the parabola? y−3=12(x+5)^2
2. The equation of a parabola is y=12x2+6x+23 .
What is the equation of the directrix?
y = 5.5
y = 4.5
y = 2
y = 0.5
3.The equation of a parabola is 132(y−2)2=x−1 .
What are the coordinates of the focus?
(−7, 2)
(1, 10)
(1, −6)
(9, 2)

Answers

Question 1) Vertex of the Parabola.

[tex]y-3=12(x+5)^{2} \\ \\ y= 12(x+5)^{2}+3[/tex]

The vertex of the general parabolic equation:

[tex]y=a(x-h)^{2}+k [/tex]

lies at (h,k)

Comparing the given equation to general equation, we can write:

h = - 5
k = 3

So, the vertex of the given parabola will be (-5, 3)

Question 2) Equation of Directrix

The correct equation of the parabola is:

[tex]y= \frac{1}{2} x^{2} +6x+23 \\ \\ [/tex]

First we need to convert the equation to standard form as shown below:

[tex]y= \frac{1}{2}( x^{2} +12x)+23 \\ \\ y= \frac{1}{2}( x^{2} +12x+36)+23- \frac{1}{2}(36) \\ \\ y= \frac{1}{2}(x+6)^{2}+5 \\ \\ y-5= \frac{1}{2}(x+6)^{2} \\ \\ 2(y-5)=(x+6)^{2} \\ \\ 4( \frac{1}{2})(y-5)= (x+6)^{2}[/tex]

The directrix of the general parabola of the form:

[tex]4p(y-k)=(x-h)^{2} [/tex]

is y = k - p

Comparing equation of given parabola with general parabolic equation, we can write:
p =1/2
k = 5

So, equation of directirx will be:

y = 5 - 1/2 = 4.5

So, option B gives the correct answer.

Question 3) Focus of the parabola

The correct equation of the parabola is:

[tex] \frac{1}{32}(y-2)^{2}=x-1 \\ \\ (y-2)^{2}=32(x-1) \\ \\ (y-2)^{2}=4*8(x-1)[/tex]

Comparing this equation to the general parabolic equation, we can write:
p=8
h =1
k = 2

The focus of the parabola will be at (h+p,k) = (9,2)

So the focus of the parabola is at (9,2)

Thus, option D gives the correct answer.

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A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of bacon, sausage, or fruit salad. The customer can choose coffee, tea, or milk. How many different combinations of eggs, side, and drink does a customer have to choose from? A false promise, according to kant, is: something that i could will to be universal law only when it benefits the majority. something that i could will to be universal law only when it benefits me. something that i could will to be universal law only when it prevents a greater wrong. something that i could never will to be universal law. Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29) Describe how identifying the metagenome of different environments can lead to help solving some of the world's most complex challenges in agriculture, medicine, energy, and more. I was sick the day that the class went over how to do this and I dont know how to do it. Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the population. calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundredths place. at a shopping mall,4/9 of the shoppers were children and 5/7 of the adults were woman.They were 1/2 as many boys as men.They were 90 more girls than boys. (a) what fraction of the shoppers in the shopping mall were men ? (b) How many shoppers were in the shopping mall ? How did Turkey change as a result of World War 1 An oscillating block - spring system has a mechanical energy of 1.10 j, and amplitude of 11.0 cm, and a maximum speed of 1.7 m/s. find the spring constant. Who wrote about his travels along the Silk Road and his 17-year-long stay in China?A. The Silk Road actually refers to a series of trade routes rather than a single road.B. Cowry shells and silk were used as forms of money along the Silk Road.C. Trade along the Silk Road flourished under the strong protection of the Huns.D. Ideas and technology, as well as goods, were exchanged along the Silk Road. If you want to make your writing personal and direct for your audience, which one of the following pronouns should you use? A. You B. He C. They D. We an aquarium weighs 22.5 lb when empty the aquarium is 30 in long 14 in wide and is filled with water to a depth of 18 in. Water weighs 0.036 pounds per cubic inch. How much does the aquarium weigh when it's full of water a monument stands at level ground. The angle of elevation to the top of the monument taken at a point 405 feet away is 32. Find the height of the monument. Pilar's conversation with miguel can best be described as ______ communication. In the diagram, what is the measure of angle 1? A. 135 B. 125 C. 15 D. 45 The _______________ is the warming of earth due to the atmospheric accumulation of carbon dioxide and certain other gases, which absorb reflected infrared radiation and re-radiate some of it back toward earth. What is the origin of the term to post advertisements? Read the sentence. Good neighbors help each other keep the neighborhood clean and safe. Which class of pronoun is used in this sentence? 13 percent of what is 78 A significant legislative victory for the forces behind the civil rights era of the 1960s was: