Answers
Answer: [tex]3^{14}[/tex]
Step-by-step explanation:
[tex]\frac{3^{9} }{3^{-5} }[/tex]
Properties of exponents (negative exponent) says that a term can be moved from the numerator to the denominator and vice versa by flipping the sign.
So,
[tex]\frac{1}{3^{-5} } =3^{5}[/tex]
Properties of exponents (Product Rule) also say that
[tex]a^{x} *a^{y} = a^{x+y}[/tex]
So,
[tex]3^9*3^5=3^{9+5} =3^{14}[/tex]
Another way to solve this is simply using the Properties of exponents (Quotient Rule) which states
[tex]a^{x} /a^{y} =a^{x-y}[/tex]
So,
[tex]\frac{3^{9} }{3^{-5} }=3^{9-(-5)} =3^{14}[/tex]
Related Questions
Paulette is paid 2 1/2 % commission on all sales, and an extra 1 1/2 % on all sales over $6,500. Her sales last week totaled $17,400. What were her total earnings for the week?
Answers
The total earnings in the form of commission for Paulette is $ 598.5.
Commission till sales of $ 6,500 = 2 1/2 %
So amount of commission will be
A = 5 / 200 × 17400
A = 5 / 2 × 174
A = $ 435
Extra commission:
E = 3 / 200 × ( 17400-6500)
E = 3 / 200 × 10900
E = 3 / 2 × 109
E = $ 163.5
Total commission = $ 435 + $ 163.5
T = $ 598.5
Therefore, the total earnings in the form of commission for Paulette is $ 598.5.
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Pre algebra pick a yes or no
Answers
Answer:
see explanation
Step-by-step explanation:
to determine if the values of y are a solution to the equation, substitute the values of y into the left side and if equal to the right side then they are a solution.
y = 70
[tex]\frac{70}{7}[/tex] - 1 = 10 - 1 = 9 ≠ - 2 → NO
y = 56
[tex]\frac{56}{7}[/tex] - 1 = 8 - 1 = 7 ≠ - 2 → NO
y = - 7
[tex]\frac{-7}{7}[/tex] - 1 = - 1 - 1 = - 2 → YES
y = 0
[tex]\frac{0}{7}[/tex] - 1 = 0 - 1 = - 1 ≠ - 2 → NO
Answer:
Yes. I think that is a pre algebre question.
GRAPH the line y=kx+4 goes through point (2,-2)
Please answer sketch the graph of the line
Answers
Answer:
Step-by-step explanation:
First plug in the values for x and y:
y=-2
x=2
-2=2k+4
Then just simplify to get k:
-2=2k+4
Minus 4 from both sides
-6=2k
Divide each side by 2
k=-3
I hope this helps!
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
For the given question options C, D and E are correct answers.
Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.
What are the exterior angles of a triangle?When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.
Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)
m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)
m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)
Therefore, options C, D and E are correct answers.
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What's the answer someone please help!
Answers
Step-by-step explanation:
Across
1.26
2.59
3.19
5.38
6.82
7.62
8.48
9.72
11.40
12.64
Down
1.24
2.59
3.18
4 42
5.32
6.88
7.65
8.42
9.70
10.34
what is 3x + 7 = 5x + 15?
Answers
Answer:
Step-by-step explanation:
if solved for x the answer is x=−4
step wise step
3x+7= 5x+15
3x-5x=15-7
-2x=8
x=8÷2
×=4
4. To make a specific hair dye, a hair stylist uses a ratio of 1 } oz of red tone, À oz of gray
tone, and oo | ur
Oz of brown tone.
a.
If the stylist needs to
b.
make 20 oz of dye, how much of each dye color is needed?
If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
Answers
The answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.The quantity of specific hair dye produced by given ingredients are:
= 1(1/8) + 3/4 + 5/8= 9/8 + 3/4 + 5/8= (9+6+5)/8 = 20/8 = 5/2ozAs a result, the amount of specific hair dye produced by given ingredients = 5/2qz
To calculate the amount of each ingredient needed to make 1 oz of specific hair dye, multiply the reciprocal of 5/2 by each ingredient.The amount of red tone required to make 1 oz of a specific dye:
= 3/8 × 2/5 = 3/20 oz
Gray tone = 3/1 × 2/5 = 3/10 Oz Brown tone = 5/8 × 2/5 = 1/4 Oz=Now, multiply each by 20.
The amount of red tone required to make 20 oz of a specific dye:
3/20 × 20 = 3 oz
Gray tone = 3/10 × 20 = 6oz Brown tone = 1/4 × 20 = 5ozTo find each dye needed to make 100 ounces of dye, multiply the above amounts by 5.
(Since, 100 = 20 × 5)The amount of red tone required to make 20 oz of specific dye: 15oz
Gray tone is similar: 30 ozBrown tone is: 25 ozTherefore, the answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.Know more about ratios here:
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The correct question is given below:
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of a gray tone, and 5/8 ounces of brown tone. If the stylist needs to make 20 ounces of dye, how much of each dye color is needed? If the stylist needs to make 100 ounces of dye, how much of each dye color is needed?
When time equals 0, why is the temperature in the oven not equal to 0? Why does the temperature eventually oscillate around 350°F?
Answers
The ambient temperature, aka the outside air temperature, isn't 0 degrees Fahrenheit. This is the reason why the oven isn't at 0 degrees Fahrenheit when the oven is off. For example, if it is 68 degrees Fahrenheit outside, then the oven's temperature is likely around this figure when it is off.
------------------------------
The way the oven works is that it heats the air using a gas or electric source. Once reaching 350 or slightly higher, the oven burner will turn off for a set period of time. This is so the temperature doesn't go too far over 350.
After the burner is turned off, the air inside the oven is still really hot and will stay around 350 for a while. But the temperature will slowly decrease. Once dipping slightly below 350, the oven will turn back on to heat back up to 350 again. This process repeats over and over.
This explains why you see the oscillating bouncing curve like this. It also explains why ovens seem to go on or off in the middle of a baking session.
f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
There are _____ Zeros( how many)
Answers
The number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the number of zeros?The polynomial expression is given as
f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
The degree of the above polynomial expression is
degree = 5
The degree of a polynomial expression is the number of zeros of the polynomial
This means that
Zeros = 5
Hence, the number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
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2,414(goal) each person pays 34 how many people need to come to reach that goal
Answers
The required number of people that contribute 34 pays in the goal of 2414 is 71.
What is arithmetic?According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.
Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71
Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.
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Decide whether the conditional statement is true or false:
It is noon when the clock strikes 12.
Answers
Answer:
True, When the clock transitions from 11:59am to 12:00pm, it is the first hour of noon.
Step-by-step explanation:
find the lcm of the following set of number using decomposition method.
8,16 and 24 =lcm=
Answers
Answer:
48
Step-by-step explanation:
[tex]\mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]
LCM of 8, 16 and 24
Decompose to prime factors
8/2 = 4; 4/2 = 2. So 8 = 2 x 2 x 2
16 = 8 x 2 = (2 x 2 x 2) x 2
24 = 8 x 3 = (2 x 2 x 2) x 3
2 x 2 x 2 is common, 2 appears once more as a factor in 16 and 3 appears in 24 so the LCM = (2 x 2 x 2) x 2 x 3 = 48
What is the decimal form for the given fraction 640/1000
Answers
Answer:
0.64
Step-by-step explanation:
1.) 1000 = 10×10×10
2.) 640÷10=64
3.) 64÷10=6.4
4.) 6.4÷10=0.64
If 1 shoe equals 6.5 socks, how many socks are equivalent to 2.3 shoes?
Answers
The equivalent number of socks to 2.3 shoes is 14.95 socks
Ratio and proportionsFractions are expression written as a ratio of two integers. For instance If 1 shoe equals 6.5 socks, this can be written as:
1 shoe = 6.5 socks
In order to determine the number of socks for 2.3 shoes, we will have:
2.3 shoes = x socks
Determine the ratio
1/2.3 = 6.5/x
Cross multiply
1 * x = 2.3 * 6.5
x = 2.3 * 6.5
x = 14.95
Hence the equivalent number of socks to 2.3 shoes is 14.95 socks
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To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her 8 hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself.
How long will it take Tracy and Dave to complete the task together?
Answers
Tracy and Dave together complete the task in [tex]\frac{24}{5}[/tex] hours
Given Tracy alone take 8 hours to complete work and dave alone take 12 hours to complete the work.
Let's say together they worked in x hours
⇒in 1 hour they worked [tex]\frac{1}{x}[/tex]th part of the work
Tracy herself worked 8 hours to complete the whole task
⇒ in 1 hour Tracy completes [tex]\frac{1}{8}[/tex]th part of the task
Dave himself worked 8 hours to complete the whole task
⇒ in 1 hour Dave completes [tex]\frac{1}{12}[/tex]th part of the task
By proportions
⇒[tex]\frac{1}{8}[/tex]+[tex]\frac{1}{12}[/tex]=[tex]\frac{1}{x}[/tex] { using operation addition}
⇒ x= [tex]\frac{24}{5}[/tex]
Therefore,Tracy and Dave together complete the task in [tex]\frac{24}{5}[/tex] hours
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1. Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?
Answers
The meeting point of the diagonal is the interior of the quadrilateral which is Point O.
Here is the quadrilateral PQRS you can find it is given below.
In this image you can see that a quadrilateral has four sides which is PQRS and two diagonals which is PR and QS,
then both diagonals intersects interior of quadrilateral each other at Point O.
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Write a system of equations modeling the given conditions. Then solve the system by the
substitution method and find the two numbers.
The sum of two numbers is 94. One number is 36 more than the other. Find the
numbers.
Answers
System of equations modeling the given conditions:
x + y = 94
x - y = 36
Solving:
In order to use substitution, you have to isolate one of the variables in either of the equations
Using the second equation and isolating the variable x:
x - y = 36
x = 36 + y
then you can substitute x back into the first equation
36 + y + y = 94
36 + 2y = 94
2y = 58
y = 29
and then substitute 29 for y into either one of the equations
x + 29 = 94
x = 65
On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050. On December 31, 2020, Akron, Inc., acquires an additional 25 percent of Zip Company's outstanding common stock for $94,000.
During the next two years, the following information is available for Zip Company:
Income Dividends Declared Common Stock
Fair Value (12/31)
2019 $321,000
2020 $79,000 $6,200 376,000
2021 89,000 15,800 478,000
At December 31, 2020, Zip reports a net book value of $280,000. Akron attributed any excess of its 30 percent share of Zip's fair over book value to its share of Zip's franchise agreements. The franchise agreements had a remaining life of 10 years at December 31, 2020.
On Akron’s December 31, 2021, balance sheet, what amount is reported for the Investment in Zip account?
Answers
The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400, which is the fair value of the Common Stock of Zip Company.
What is the fair value of an investment?The fair value of an investment is the current value and not the historical cost when the investment was made.
Fair value refers to the intrinsic worth of an asset or security.
Data and Calculations:Income Dividends Common Stock Akron's Investment
Declared Fair Value (12/31) in Zip Company
2019 $321,000 $16,050 ($321,000 x 5%)
2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)
2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)
Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).
Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400.
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Please help!!! 10 point.
Answers
Answer:
x+20
Step-by-step explanation:
because ist correct
A 14 yo client with type 1 diabetes
Heighing 110 pounds has on attack of
hypoglycemia. He has been prescribed
0.5g/kg of 50%. dextrose. The 50%
dextrose is supplied in 0.5mg/ml
Prefilled syringes. Calculate the dosage for
the client by converting the weight into Kilograms and the amount of
dextrose in syringe into grams.
Answers
Answer:
Step-by-step explanation: it will be having 10 kg each
If √128 = 2k , find the value of k.
Answers
Answer: k=[tex]{4\sqrt{2}[/tex]
Step-by-step explanation:
√128 = 2k
k=[tex]\frac{\sqrt{128}}{2}[/tex]
k=[tex]\frac{\sqrt{64*2}}{2}[/tex]
k=[tex]\frac{8\sqrt{2}}{2}[/tex]
k=[tex]{4\sqrt{2}[/tex]
Find an equation for the line tangent to the circle
x2 + y2 = 100
at the point
(8, −6).
Answers
Second, plot the point (-6,8) on the circle.
Third, draw a radius from the origin to this point. You should be able to determine the SLOPE of this radius. Since slope is -8/6, this reduces to -4/3.
Fourth, use the point-slope form to find the equation:
y - y1 = m ( x - x1)
y - 8 = -4/3 ( x - -6 )
y - 8 = -4/3 ( x + 6 ) This is the Point-Slope form of the equation.
Fifth, sometimes the question specifies the Slope-Intercept form of the equation. If that is the case, then you only have 2 steps left. First, distribute the -4/3 on the right side of the equation.
y - 8 = -4/3(x) + 8 Now, we isolate the "y" by adding 8 to both sides of the equation.
+8 +8
_________________
y = -4/3(x) + 16
Q8. How many triangles are there in the figure?
Answers
Answer:
I don't know there's no figure
Step-by-step explanation:
I don't have any clue is the answer because their is no figure so stop being umb and show me the pic lo ser
Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.
Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.
kx+y = 3
25x+ky = 3
The system has a unique solution when k =
Answers
Answer:
12+2=14odokxjxnxnxnxnjskaowoowsjd
Jennifer has a total of 25
marbles. She gives 5 marbles
to her friend, Elizabeth.
What fraction of marbles did
Elizabeth receive?
Answers
Answer:1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Ex) You pick a marble from a bag containing 2 blue marbles, 5 red marbles, and 3 purple marbles. You replace the marble and select a second marble.
If segment AB has a midpoint coordinate at (0, -2) and one endpoint is A(4, 2), what is
the coordinate of the other endpoint B?
Answers
( -8 , -8) are the coordinate of the other endpoint B .
What is coordinate ?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.Geographic coordinates, namely latitude and longitude, also known as "GPS coordinates," are the applicable literal sense of the word "coordinates." However, (s)he isn't actually expecting a response with coordinates; it's merely a lighthearted manner to inquire as to where you are right now.the coordinates of the second endpoint are ( x₂, y₂ )
x = x₁ + x₂/2
0 = 4 + 0/2
x₂ = -8
y = y₁ + y₂/2
-2 = 2 + y₂/2
-2 -2 = y₂/2
- 8 = y₂
( -8 , -8) are the coordinate of the other endpoint B .
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36-9 divided by 9 = 3 insert parentheses to make the statement true
Answers
Answer:(36-9)÷9
Step-by-step explanation: If 36-9=27 then 27÷9=3 since 9×3=27hope this helped :)
If angle YXZ measures 90 degrees, which statement is true?
A. segment XZ is perpendicular to segment WY
B. WX =XY
C. segment XZ is a perpendicular bisector of segment WY
D. X is the midpoint of segment WY
Answers
Answer:
The 1st option is correct.
We are not clear that WX = XY.
3rd is is not correct.
4th option is also incorrect.
How do we know the following relation is NOT a function
Answers
A relation that does not have the function property of each and every input having exactly one output.
A function is defined as a relation between a group of inputs having one output each. In simple words, a function may be a relationship between inputs where each input is related to exactly one output. Every function features a domain and range. A function is usually denoted by f(x) where x is the input.
The types of functions can be broadly classified into four types. supported Element: One to one Function, many to at least one function, onto function, one to at least one and onto function, into function.
A function may be a relation between a set of inputs (called the domain) and a permissible set of outputs (called the codomain), such each input is related to exactly one output.
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helpnsisiisisisisiwiwiwi
Answers
Answer:
For Ai - P = 4 , Q = 4 , R = 4
For Aii - P = 3 , Q = 4 , R = 5
For Aiii - b^13 × b^-2 / b^1 = b^10
Step-by-step explanation:
I hope this is correct answer.