The solution of the exponential expression will be a⁹.
What is an exponential expression?Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied.
Given exponential expression is (a⁻¹ x a⁻²)⁻³. The expression will be solved as below,
E = (a⁻¹ x a⁻²)⁻³
The base is the same and the variables are in multiplication with powers then the powers will be added,
E = (a⁻³)⁻³
E = a⁹
Therefore, the solution of the exponential expression will be a⁹.
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In November's Math Meet, the Little Monsters of Beast Academy solved $\frac{1}{5}$ of the problems. In March's Math Meet, they solved $\frac23$ of the problems. (There might be different numbers of problems asked in November and March.)
In total, the Little Monsters solved $13$ of $30$ problems over both Math Meets. How many problems were asked at March's Math Meet?
The Little Monsters of Beast Academy completed 15 problems during the math meet in March.
How to calculate the total number of issues resolved in MarchThe issue is a simultaneous equation involving two equations and two unknowns.
These are the equations that are created:
Let the quantity of questions that the students at the Beast Academy have answered in
March be xNovember be yThe Little Monsters of Beast Academy successfully completed $frac1/5$ of the problems in the November = y/5
In Math Meet. they resolved $frac23$ = 2x/3 problems i
Hence:
y/5 + 2x/3 = 12
x + y = 30
When the equation is solved,
x = y = 15
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f(x) = 11 – x Find the range of f for x > 4.
Answer:
Step-by-step explanation:
Comment
The graph below shows or implies that you start at very close to 4 and move downward and to your right
To find the beginning of the range, substitute 4 into the given equation
f(4) = 11 - 4
f(4) = 7
The range is
7 <y <-∞
A group of friends wants to go to the amusement park. They have no more than $110 to spend on parking and admission. Parking is $10.50, and tickets cost $23.50 per person, including tax. What is the maximum number of people who can go to the amusement park?
Considering the definition of an inequality, the maximum number of people who can go to the amusement park is 4.
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, you know that:
A group of friends have no more than $110 to spend on parking and admission. Parking is $10.50, and tickets cost $23.50 per person, including tax.Being "x" the maximum number of people who can go to the amusement park, the inequality that expresses the previous relationship is
10.50 + 23.50x ≤ 110
Solving:
23.50x ≤ 110 - 10.50
23.50x ≤ 99.50
x ≤ 99.50÷ 23.50
x ≤ 4.23
Finally, the maximum number of people is 4.
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What is the greatest value in the range of y=x²-7 for the domain {-2,0,1}?
Answer:
f(-2) = - 3 is the greatest value in the given range
-------------------------------
GivenFunction y = x² - 7,Domain x = {- 2, 0, 1 }.Find the value for each domain and comparef(-2) = (-2)² - 7 = 4 - 7 = - 3f(0) = 0² - 7 = 0 - 7 = - 7f(1) = 1² - 7 = 1 - 7 = - 6The greatest value of the function is - 3.
What fraction is equivalent to 21/42?
Answer: 1/2
Step-by-step explanation:
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation
We can convert 21/42 by dividing both the numerator and denominator by 21 to get
1/2
Hopes this helps please mark brainliest
Morgan is 15 years younger than mrs santos. Their shed combined is 44. (Look at picture pls) (D. M+s= 44 and m= s - 10 ; (27, 17); Morgan is 17 and Mrs. Santos is 27.
Answer:
Step-by-step explanation:
To find Mr.Santos's age subtract morgan's age from their combined age
44-15=29
Therefore Mr. Santos age is 29 years
Hope that helps
I WILL MARK BRAINLY ANSWER QUICK
We can conclude that the table in option (D) represents a linear function.
What is a linear function?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.So, the linear function will be:
We know that linear functions form a straight line on a graph.Then,
We can easily cut down options (A) and (B) as their values are not in a sequence.Option (C) is also wrong as the values of y are not dependent on x values and follow a different square sequence.So, option (D) is correct.
Therefore, we can conclude that the table in option (D) represents a linear function.
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Help pls ASAP i am Limited on tile and I need someone to do this I need to do other assignments too
Answer:
78
Step-by-step explanation:
x + 12 = 90
x = 78
Quadrilateral TEAM is rotated-180° about the origin.
Draw the image of this rotation.
The area of the quadrilateral is determined as follows if the diagonal and the length of the perpendiculars from the vertices are known: The formula for calculating the area of a quadrilateral is (12) diagonal length the sum of the lengths of the perpendiculars drawn from the other two vertices.
Explain about the Quadrilateral?A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words Quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example. quadrilateral pieces.
Quadrilaterals with four congruent sides, four right angles, and two sets of parallel sides are called squares. Quadrilaterals having two sets of parallel sides are known as parallelograms. All squares are parallelograms because squares must have quadrilaterals with two sets of parallel sides.
Four sides and four angles make up a quadrilateral. Any convex polygon's exterior angles (i.e., no interior angle is less than 180 degrees) sum up to 360 degrees ( 4 right angles).
In the quadrilateral, each point's coordinates change as follows:
(x, y) → (-x, -y)
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write down the probability of getting an odd number when you roll a 6 sided die
The probability of getting an odd number when you roll a 6 sided die is 1/2
How does probability explain work?
Simple terms, probability is the probability that an event will occur. When we do not even understand how an event will come out, we can analyze the probability or likelihood from several outcomes. Statistical is the analysis of events which match a posterior distribution.
What is the likelihood that the result of a roll of a standard six-sided die will be an odd number?
A cube with six faces makes up a standard six-sided die. They have the following numbers: 1, 2, 3, 4, 5, and 6. Any integer that is not divisible by two is an odd number. The odd numbers in this situation are 1, 3, and 5. The number of successful outcomes divided by the total number of possible outcomes can be represented as a fraction to represent the likelihood that any event will occur.
There are three correct answers to this puzzle, or the three odd integers. Additionally, there are six potential outcomes, ranging from one to six. When using standard six-sided die, there is a three-sixths, or three from out six, chance that the outcome will be an odd number.
Three can be divided by both three and six. As a result, this fraction can be expressed as one-half. One is equal to three divided by three. Additionally, two is equal to six times three. One-half or one in two chances exist that the result is strange.
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Two congruent parallelograms are joined along their base
to make the shape below.
18 cm
Work out the total area of the shape.
11 cm
15 cm
The total area of the shape that is formed by the two congruent parallelograms is: 721 cm².
How to Find the Total Area of a Shape?To find the total area of the shape that is formed by the two congruent parallelograms, calculate the area of each face, then add all together.
The shape formed consist of:
2 identical parallelograms whose area = 2(base × height)2 identical right triangles = base × height1 rectangle = length × widthArea of the 2 identical parallelograms:
Base = 15 cm
Height = 11 cm
Area = 2(15 × 11) = 330 cm²
Area of the 2 identical right triangles:
Base = 11 cm
Height = 11 cm
Area = 11 × 11 = 121 cm²
Area of the rectangle = length × width = 18 × 15 = 270 cm²
Total area of the shape = 330 + 121 + 270
Total area of the shape = 721 cm²
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marital status: of women according to the statistical abstract of the united states, 70.3% of females ages 20 to 24 have never been married. choose 5 young women in this age category at random. find the probability that a. none has ever been married
0.1717 is Probability that none has ever been married from selected 5 young women in age category at random.
In the question we have,
the number of females age 20 to 24 has never been married = 70.3%
the number of young women in this age category (20 to 24) at random = 5
We shall find out the probability that none has been maaried from selected group of 5 females.
Probability of female age 20 to 24 has never been married = 0.703
So, the probability that none has been married from selected group of 5 females ( p)= 0.703×0.703×0.703×0.73×0.73
= 0.1717
Therefore, The probability that none has ever been married is 0.1717.
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clint's cowboy shop buys horse feed for $\$10$ per cubic meter ($\text{m}^3$). clint's customers don't like the metric system, so they'll only buy horse feed by the cubic foot. how many cents should clint charge for a cubic foot ($\text{ft}^3$), if he wants to sell the horse feed for twice the price he bought it at?
In linear equation, 57 cents per cubic foot should clint charge for a cubic foot .
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18.cubic meter = [3.28 ft ]^3 ≈ 35.29 cubic feet
So,
price [ in cents] / 35.29 cubic feet = 2000 / 35.29 ≈ 57 cents per cubic foot
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if the product of five and the number is increased by seven, the result is the same as eight less than three times a number
Please helppppp
Answer:
The number is -7.5
Step-by-step explanation:
Creating an equation:
5x+7=3x-8
-> 5x = 3x-15
-> 2x=-15
-> x=-7.5
What is the value of x?
1.9x+0.1x=0.6
Enter your answer as a decimal in the box.
x = ???
Answer:
x = 0.3
Step-by-step explanation:
[tex] \sf1.9x + 0.1x = 0.6[/tex]
Combine like terms.
[tex] \sf2x = 0.6[/tex]
Divide both sides by 2.
[tex] \sf \: x = 0.3[/tex]
please helpppp!!!!!!!
Answer:
A
Step-by-step explanation:
function because for every x there is only one y
the domain are the value of x
the range are the value of y
please help fast algebra 2
find the area of the trapezium
Step-by-step explanation:
To find the Area of a Trapezium, we use 1/2(a+b)*h
where a=2.8 and b=4.4, Height=3.5
1/2(2.8+4.4) *3.5
1/2(7.2)*3.5
3.6*3.5
12.6cm2
Answer:
Step-by-step explanation:
Area of a trapezium = 1/2(a + b) x h
1/2 (2.8 + 4.4) x 3.5
1/2 x 7.2 x 3.5
12.6
HOPE IT HELPS YOUPLS RATE AS BRAINLIEST ANSWERFind the number of square tiles of sides 6 cm needed to fit in a rectangular region whose length andbreadth are: a) 9 m and 12 m b) 8 m and 9 m
Number of square tiles that are needed to fit the rectangular region are
(a) 30000 tiles and (b) 20000 tiles .
In the question ,
it is given that
the side of the square tile is = 6 cm
so ,the area of the square tile = 6*6= 36 cm²
Part(a)
the length of the rectangular region = 9m = 900 cm
the breadth of the rectangular region = 12m = 1200 cm
So, the area of the rectangular region = 900 * 1200 = 1080000 cm²
the number of tiles required = (area of rectangular region)/(area of tile )
= 1080000/36
= 30000
hence , 30000 tiles are needed.
Part(b)
the length of the rectangular region = 8m = 800 cm
the breadth of the rectangular region = 9m = 900 cm
So, the area of the rectangular region = 800 * 900 = 720000 cm²
the number of tiles required = 720000/36
= 20000
hence , 20000 tiles are needed .
Therefore ,Number of square tiles that are needed to fit the rectangular region are
(a) 30000 tiles and (b) 20000 tiles .
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This shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation for π.
What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.
The perimeter of the given figure is 89.12 inches.
Given that, the shape is made up of one half-circle attached to a square with side lengths 16 inches.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
We know that, the perimeter of square is 4a, where a is side of a square.
When, a=16
The perimeter of square =4×16
= 64 inches
We have circumference of circle = 2πr
Circumference of a semi circle= πr
Here, radius(r)=8 inches
= 3.14×8
= 25.12 inches
Total perimeter = 64+25.12
= 89.12 inches
Therefore, the perimeter of the given figure is 89.12 inches.
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Supposed the original quality is 1,500 and the new quality is 1,650 what should be the first step in solving for the percent increase what is the percent increase
The first step is to find the increase in quantity.
The percentage increase is 10%.
How to calculate the percentage?From the information, the original quality is 1,500 and the new quality is 1,650.
The first step is to find the increase in quality will be:
= New quantity - Old quantity
= 1650 - 1500
= 150
The percentage increase will be:
= Increase / Old Quantity × 100
= 150 / 1500 × 100
= 10%
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the population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
The relative risk of the disease influences this measure of effect in exposed individuals versus unexposed individuals and the prevalence of exposure in the population.
As stated, the population etiology fraction measures the disease rate in a population attributable to the exposure of interest. A measure that is primarily determined by the exposure caused by a particular disease. Therefore, it may be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals, as well as the prevalence in the population of the exposure.
An epidemiological tool is the Population Attributable Risk, also called the Etiologic Fraction or Attributable Fraction. Efforts to eliminate a given risk factor would be expected to reduce the attributable risk to a specific percentage. The attributable risk of disease is calculated by combining the relative risk for a given exposure with the prevalence of the exposure in the population.
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1. What are The two taxes paid on most purchases?
Answer:
I believe its the FICA and the payroll taxes
Step-by-step explanation:
hello cn someone help please
The size of angle x is 54 degrees.
Let O be the complete angle,
<O = 360
Angle between diagonals = 360/5 = 72 degrees.
All diagonals of regular pentagon are equal and their opposite angles are equal .
With angle center O it forms a triangle:
sum of angles = 180
x + x + 72 = 180
2x + 72 = 180
2x = 180 - 72
2x = 108
divide by 2 on both sides
2x/2 = 108/2
x = 108/2
x = 54 degrees.
Therefore the size of angle x is 54 degrees.
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What is the Range of the data set
Answer:
The range of the data set is 16.
Step-by-step explanation:
The range of a box plot is the difference between the maximum and minimum value. To find the range of the given box plot, we can simply subtract the value located at the lower whisker from the value located at the upper whisker.
18 - 2 = 16
Hope this helps :)
Answer it now bois now
Answer:
Answer is [tex](\frac{4}{-1})[/tex] option D is correct
These marbles are placed in a bag and two of them are randomly drawn what is the probability of drawing two yellow marbels if the frist one is placed back in the bag before the second draw
The probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw is 0.022
Since the formula we refer to in calculating probability is
P = no of possible outcomes/ total number of outcomes
Since we were provided with 10 marbles out of which 2 are yellow, 3 are pink and 5 are blue
So the total outcomes are = 1,The total number of yellow marble is 2
The probability that the first ball drawn is yellow :
P₊= 2/10= 1/5
the probability of drawing the second ball to be yellow is:
P₂= 1/9
the total probability of drawing two yellow marbles if the first one is placed back in the bag before the second draw is :
P= 1/5 * 1/9
= 1/45
= 0.022
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What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? There are 10 marbles total, 2 yellow, 3 pink, and 5 blue
At 8 a.m., Sothy goes for a walk and plans to walk `10000` steps. At 8:23 a.m., his phone tells him that he has taken `2000` steps.
If he continues at this rate, at what time will he reach `10000` steps?
Answer:
9:55 a.m.
Step-by-step explanation:
Sothy starts at 8 a.m. and plans for 10,000 steps. At 8:23 a.m., she walked 2000. We are solving for when she reaches 10,000 steps.
This means that she walks 2,000 steps in 23 minutes
If she walks 2,000 steps in 23 minutes, then we can multiply by 5 to get 10,000 steps in 115 minutes.
Now, we need to add 115 minutes to 8 a.m.
we can round 115 minutes to 120 minutes.
If you add 120 minutes to 8 a.m., you get 10 a.m.
Now subtract the 5 minutes you added earlier to get 9:55 a.m.
3. Martin finishes a swim race in 78.934 seconds. His teammate, Abby finishes the race in 83.978 seconds and their last teammate finishes the race in 84.765 seconds.
CHALLENGE: How many minutes in total did they spend completing the race?
Help me pkleasee :((
The number of minutes in total that the three swimmers spent in completing the race is; 4.12795 minutes
How to carry out units conversion?We are given;
Time taken by Martin to finish swimming = 78.934 seconds
Time taken by Abby to finish swimming = 83.978 seconds
Time taken by the last teammate to finish the race = 84.765 seconds
Thus;
Total time taken by the three swimmers to finish the race = 78.934 + 83.978 + 84.765 = 247.677 seconds
Now, we want to know the total time they spent in minutes and we know that the unit of conversion is;
60 seconds = 1 minute
Thus;
247.677 seconds = (247.677 * 1)/60 = 4.12795 minutes
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The town of Wattle has a population that is decreasing steadily.
It is found that the population is decreasing at a rate of 5.4% per year.
How long will it take for the population to be beneath 45% of what it is now?
Answer:
After 1 yr P1 = .946 Po
After 2 yrs P = .946 P1 = .946^2 Po
After n yrs P = .946^n Po
.45 = .946^n What is n needed to drop P to .45 P
log .45 = n log .946
n = log .45 / log .946 = -.347 /-.0241 = 14.4 years
