Answer:
12.5
Step-by-step explanation:
Find the value of p when 3^p = 1/9. is there a method to solve this instead of trial and error?
[tex]{3 }^{p} = \frac{1}{9} [/tex]
[tex]{3 }^{p} = 9 {}^{ - 1} [/tex]
[tex]{3 }^{p} = (3 {}^{2} ) {}^{ - 1} [/tex]
[tex]{3 }^{p} = 3 {}^{} {}^{ - 2} [/tex]
[tex]p = - 2[/tex]
Tina and her friend are picking apples at Newberry Orchard. The apples cost $1.40 per pound. If they pick 2.5 pounds of apples, how much will the apples cost?
$
Answer:its b
Step-by-step explanation:yall dume
Damon kayaks on a river near his home. He plans to kayak a total of 6.4 miles. Damon kayaks at an average speed of 1.6 miles per hour. How many hours will it take Damon to kayak the 6.4 miles?
Answer:
He plans to kayak a total of 6.4 miles. Damon kayaks at an average speed of 1.6 miles per hour. How many hours will it take Damon to kayak the 6.4 miles? It will take Damon 4 ‾ hours to kayak 6.4 miles.
Can someone find the value of x?
9)The value of x is 26 degrees
10)The value of x is 13 degrees
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Vertical angles are equal
2x+1=53
=> 2x=53-1 = 52
x=52/2 = 26 degrees
similarly,
5x+1=66
=> 5x=66-1 = 65
=> x=65/5 = 13 degrees
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Table 1.3 shows the hypothetical trade-off between different combinations of brushes and combs that might be produced in a year with the limited capacity for country X, ceteris paribus.
In the production range of 2 to 3 combs opportunity cost producing one more comb is
a)0.67
b)3.33
c)7.0
d)0.14
In the production range of 2 to 3 combs, the opportunity cost of producing one more comb is d) 0.14 brushes.
Explain about production range refer to:Opportunity cost is the cost of one choice in terms of the best alternative foregone. In this case, the opportunity cost of producing one more comb is the number of brushes that have to be given up in order to produce that additional comb.For example, if the country X is currently producing 2 combs, in order to produce one more comb, 0.14 brushes would have to be given up. This means that for every additional comb produced, 0.14 brushes would have to be sacrificed. This trade-off is reflected in Table 1.3 and is the opportunity cost of producing one more comb in the production range of 2 to 3 combs.In other words, the opportunity cost of producing one more comb is the number of brushes that would have to be sacrificed in order to produce that comb. The opportunity cost is 0.14 brushes per comb, which means that for every additional comb produced, 0.14 brushes would have to be given up.To learn more about production range refer to:
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2. AB is tangent to •O at A (not drawn to scale). Find the length of the radius r, to the nearest tenth. (The length from the edge of the circle to B is 4.)
Point B on line AB, which is tangent to circle O, has a length of 12 units. The circle is intersected by the line AO from point A to the circle's centre at point C, and the line segment AC has a length of 8 units.
What do you meant by radius of a circle ?If you know the circumference C, you can calculate the radius of a circle using the formula r = C / (2 * ). If you know a circle's diameter, d, you can calculate its radius using the formula r = d / 2. The line AB crosses the circle at the precise locations P and Q. Here, the line AB is known as the secant of the circle.
Due to the fact that the endpoints of the line segment P Q are on the circle's circumference, it is known as the circle's chord.The two-headed arrow over AB designates a line that passes through points A and B. The name of a line that crosses two distinct points A and B is written as "line AB" or as.
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Help the perimeter is about _ units_
The perimeter of the given polygon is about 16.4 units.
How to find the perimeter of the polygon?We want to find the perimeter of the polygon whose vertices are (-3, 2), (2, 2) and (-1, -3).
The perimeter will be equal to the sum of the distances between the vertices, and remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:
d = √( (x₂ - x₁)² + (y₂ - y₁)²)
The distances are:
between (-3, 2) and (2, 2)
d = √( (-3 - 2)² + (2 - 2)²) = 5
between (-1, -3) and (2, 2)
d = √( (-1 - 2)² + (-3 - 2)²)
d = √( 9 + 25) = 6
between (-1, -3) and (-3, 2)
d = √( (-1 + 3)² + (-3 - 2)²)
d = √29 = 5.4
Then the perimeter is:
5.4 + 6 + 5 = 16.4
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What is the product of two sets?.
The product of two sets is the set of ordered pair of elements from each set.
We know that the set is nothing but the collection of well-defined objects or elements or numbers.
The elements of sets are written in the curly brackets, seperated by comma.
A set is represented by a capital letter symbol.
For example., the set of natural numbers is denoted by N.
N = {1, 2, 3, 4, . . .}
As we know the Cartesian Product of sets M and N is defined as the set of all ordered pairs (x, y) such that x belongs to set M and y belongs to set N.
It is denoted as M × N = {(x,y) | x ∈ M and y ∈ N}
For example, consider a set P = {1, 2}
and set M = {3, 4, 5},
From the definition of the Cartesian Product of P and M,
P × M = {(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5)}
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What is the value of x in the equation 3x+9/6=x-3
[tex] \frac{3x + 9}{6} = x - 3 \\ [/tex]
[tex]3x + 9 = 6(x - 3)[/tex]
[tex]3x + 9 = 6x - 18[/tex]
[tex]6x - 3x = 9 + 18[/tex]
[tex]3x = 27[/tex]
[tex]x = \frac{27}{3} \\ [/tex]
answer: [tex]x = 9[/tex]
Max's dad bought his friends 5 bottles of water and 8 slices of pizza at the concession stand and spent $20.25. He had to go back and get 1 more bottle of water and 3 slices of pizza. This time the total was $6.50. What is the cost of one slice of pizza?
Step by step explanation please?!
Using simultaneous equations, the cost of one slice of pizza bought by Max's dad at the concession stand is $1.75.
What are simultaneous equations?Simultaneous equations are two or more equations solved concurrently or simultaneously.
Simultaneous equations are also called a system of equations.
Bottles Slices of Total
of Water Pizza Cost
1st purchase 5 8 $20.25
2nd purchase 1 3 $6.50
Let the cost of bottles of water = b and the cost of slices of pizza = p
Equations:Equation 1: 5b + 8p = 20.25
Equation 2: b + 3p = 6.50
Multiply Equation 2 by 5:
Equation 3: 5b + 15p = 32.50
Subtract Equation 1 from Equation 3:
5b + 15p = 32.50
-
5b + 8p = 20.25
7p = 12.25
p = 1.75
The cost of one slice of pizza (p) = $1.75
Check:
b + 3p = 6.50
b + 3(1.75) = 6.50
b + 5.25 = 6.50
b = 1.25
= $1.25
Thus, the cost of one slice of pizza is $1.75.
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*URGENT*
just checking if my answer is right, if not please help!!!!
K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.
what is triangle ?Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.
given
If you have an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin().
To find the length of the side next to the angle, you can also divide the length by tan().
Let the hypotenuse be AC=x
Now given AB=Kx
In △ABC
sin45 ∘ = AC / AB
1/2 = kx/x
K= 1/2
K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.
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A school sent registration of 150 students for grade IX in the board amounting Rs.45000 with an additional amount of 1.7 % for pay order. Find the total amount paid by the school and by each student.
Amount paid by each student = Rs.45765 / 150 = Rs.305
The school contributed an extra 1.7%. for the payment order on top of the registration fee of Rs. 45000.
To find the total amount paid by the school, we need to calculate the additional amount and add it to the registration fee:
Additional amount = (1.7/100) * 45000 = Rs. 765
Total amount paid by the school = registration fee + additional amount = 45000 + 765 = Rs.45765
To find the amount paid by each student, we need to divide the total amount paid by the school by the number of students:
Amount paid by each student = total amount paid by the school/number of students
Amount paid by each student = Rs.45765 / 150 = Rs.305
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4. On August 16, 2012, the population of humans on Earth was estimated at 7,060,268,214. What is this number rounded to the nearest hundred million?
According to estimates, there were 7,060,268,214 people on Earth as of August 16, 2012. Rounding to the nearest hundred million, 7,060,268,214 equals 7,100,000,000.
How do you round to the nearest hundred million?Find the digit that is 100,000,000 places away first. The next step is to check if the number that comes after the hundred million place is 5 or higher. Next, multiply the result by 100 million to the nearest billion. 200,000,000 is the reply. 4,000,000 or 5,000,000 may be the million closest to you.
Take a glance at the number in the right-hand column, the hundred thousands, to determine the nearest million. 5 appears in the column for "hundred thousands." It is standard practise to round up numbers that are five or more. This means that you should look at the digit in the ten thousand spot to round numbers out to the nearest hundred thousand. 1,000,000 is added as a rounding error.
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Without using a calculator, determine between which two integers the following surds lie (b) √29 (C)-√54
(b) √29 is between 5 and 6. You can approximate it by finding the perfect squares that are closest to 29: 25 (5^2) and 36 (6^2). √29 is between 5 and 6 since 5^2 < 29 < 6^2
(c) √54 is between 7 and 8. You can approximate it by finding the perfect squares that are closest to 54: 49 (7^2) and 64 (8^2). √54 is between 7 and 8 since 7^2 < 54 < 8^2.
How do you write the square root of a negative number?.
Negative numbers doesn't have real square roots since a square is either positive or 0.
Negative Square Roots Simplifying an expression involving the square root of a negative quantity is done by simplifying the quantity as if it was positive, and placing an i in front as a coefficient.
for example:-
The square root of -9 is 3i. But if you are talking about real numbers, then there would be no solution.
Square root
The square root of a number is defined as the value, which gives the number when it is multiplied by itself.
The √ symbol that is used to denote square root or nth roots.
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You make 40 bracelets and sell them for C dollars each. The table to the right shows
the predicted sales for different prices, C. You use the expression C(40-5C) to
show your income from sales for the different prices.
Drag each term to its description in the table below.
According to the given statement In the given case- The correct answer the predicted sales for different prices is 180.
To calculate now How many bracelets must be sold for the company to turn a profit?Income = 34x
To break even, the company needs to sell 6 bracelets.
Given: C=4x+180 is the price (in dollars) of beads needed to make bracelets.
x is the quantity of bracelets.
The cost of each bracelet is $34.
To Locate:
A. Construct an equation that relates the revenue R to the quantity of bracelets.
B. How many bracelets must be sold for the company to turn a profit?
Given that the bracelet costs $34,
Let's say x bracelets are sold.
Revenue formula: Price * Quantity
Income = 34x
The revenue R in terms of the quantity of bracelets is equal to 34x.
How many bracelets must be sold for the company to turn a profit
⇒4x+180
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The equation for line p can be written as y= 9 7 x–9. Line q is perpendicular to line p and passes through (9, – 6). What is the equation of line q?
final answer:y= - 1/97 - 6
to find slope, just do the opposite reciprocal of the given slope
to find y-intercept just substitute the given point in y=mx+b
hope this helps!
Ricardo has an equally likely chance of spinning an odd number as spinning a number less than 4
The given statement that " Ricardo has an equally likely chance of spinning an odd number as spinning a number less than 4" is True.
How to find the probability?When rolling a fair dice, the probability of getting an odd number is:
= Number of odd numbers / Number of sides on die
Number of odd numbers = 1, 3, 5
Probability of odd number:
= 3 / 6
= 1 / 2
Probability of number less than 4 :
= 3 / 6
= 1 / 2
Ricardo therefore has an equally likely chance.
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Options for this question are:
True FalseHow do you prove log2 7 is irrational?.
The log₂(7) is irrational, because if we assume that it is rational, we can reach a contradiction.
Assume that log₂(7) is rational. This means that it can be written as the ratio of two integers, a/b, where a and b are integers and b is not equal to zero.
Then, using the definition of a logarithm, we have: 2^(a/b) = 7
Multiply both sides by b, we have: 2^a = 7b
Now we have a problem, because 7b is not necessarily a power of 2. This means that our assumption that log₂(7) is rational leads to a contradiction, and therefore log₂(7) must be irrational.
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Thanks for all the help Brainlys!!!
I'll give yall some points for all the helpppp!!!!!!!!
Answer:
I am so glad you were able to do it! Congrats on 100%
Step-by-step explanation:
That's great you got 100%!!!
Which set of points represents a function? { ( 5 , 0 ) , ( 9 , 8 ) , ( 2 , 5 ) , ( 1 , 4 ) , ( 1 , 1 ) } {(5,0),(9,8),(2,5),(1,4),(1,1)} { ( 9 , 9 ) , ( 9 , 7 ) , ( 8 , 1 ) , ( 5 , 8 ) , ( 1 , 4 ) } {(9,9),(9,7),(8,1),(5,8),(1,4)} { ( 2 , 5 ) , ( 4 , 5 ) , ( 7 , 1 ) , ( 0 , 8 ) , ( 6 , 4 ) } {(2,5),(4,5),(7,1),(0,8),(6,4)} { ( 9 , 3 ) , ( 9 , 2 ) , ( 1 , 1 ) , ( 3 , 6 ) , ( 6 , 7 ) } {(9,3),(9,2),(1,1),(3,6),(6,7)}
The set of ordered pairs that is a function is (b) (-9, 9), (-8, 1), (2, -4), (-2, 1)
How to determine the ordered pair that is a function?The list of options represents the given parameter
All ordered pairs are relations but not all ordered pair are functions
For an ordered pair to be a function, the following must be true:
The y values on the ordered pair must have different x values
Using the above as a guide,
In (a) the y values -2 and -4 have the same x value of 5In (b), all the y values have different x valuesThis means that the ordered pair in option (b) represents a function
Hence, the ordered pair that is a function is (b)
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what is a number that goes into a greater number with no remainders called?
A number that goes into a greater number with no remainders is called a factor.
A factor is an integer that divides into a greater number without any remainders.
For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.
Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.
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What is value of sin?.
Let's first review the Sin function before talking about Sin 0. Therefore Sin 0 value is 0.
The Sine, Cosine, and Tangent functions in trigonometry are used to determine the angles and length of a right-angled triangle, respectively.
The relationship between the angle, perpendicular side, and hypotenuse side is defined by the sine function.
Alternatively, you can use sin theta, which is equal to the right-angled triangle's perpendicular to hypotenuse ratio. Sin theta is the angle produced between the hypotenuse and adjacent side.
Definition Of Sin In Relation To Sin 0.
Sin 0 denotes that (x,y) is where the value of the x coordinate is 1, and the value of the y coordinate is 0. (1,0). In this case, the hypotenuse has a value of 1, and the opposing side or perpendicular has a value of 0.
As a result, if we set the numbers in the sin ratio for = 0, the perpendicular side to be 1, and the hypotenuse to be 0, we obtain,
Sin 0 = 0/1
Sin 0 = 0
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3
Elena agrees to finish a knitting project for a friend. The
graph shows the number of rows Elena completes
compared to the amount of time spent knitting.
Rows vs. Time
Rows Completed
30 1x
27
24
21
-18
15
12-
9
6
3.
(20, 22)
(14, 19)
(30, 27)
5 10 15 20 25 30 35 40 45
Time (minutes)
X
TIME REMAINING
57:43
Assuming she worked at a constant rate, how many
rows had been completed before Elena started working?
O 12
14
O 15
O 19
12 rows had been completed before Elena started working.
What is meant by rows ?
The vertical arrangement of the number is referred to as a column, while the horizontal groupings are referred to as rows.A column is vertical in alignment, whereas a row is horizontal. Data in a column explains a field of information that all entities share, whereas data in a row provides information that describes a specific entity.Objects arranged in a column are aligned head to tail, while those arranged in a row normally face forward.Rows and columns make up the tabular format of MS Excel. Column moves vertically while Row moves horizontally.The row number, which runs vertically down the left side of the sheet, is used to identify each row.The column header, which runs horizontally across the top of the sheet, identifies each column.To learn more about rows refer to
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Write a function in terms of t that represents the situation.
A $900 sound system decreases in value by 9% each year.
y=
Answer:
y = 900(0.91^t)
Step-by-step explanation:
You want a function that describes the value of a $900 sound system that decreases in value by 9% per year.
Exponential functionWhen the amount of change is proportional to the amount, the amount is described by an exponential function:
y = ab^x
where 'a' is the initial value, and 'b' is the "growth factor."
ApplicationHere, the change is expressed as a "growth rate" of -9% per year. The growth factor is 1 added to the growth rate:
b = 1 +(-9%) = 1 -0.09 = 0.91
The initial value is given as ...
a = 900
So the function you want is ...
y = 900(0.91^t)
__
Additional comment
The independent variable in this case is time, and the problem statement tells you to use 't' to represent it. The decay rate is given as a percentage per year, so the units of t will be years.
What is the initial value of the function represented by this graph?
0
4
5
7
5. Angle F and angle G are
complementary. Angle F
measures (2x+10)° and angle
G measures 30°. Find the
value of x.
Answer: 25 degrees
Step-by-step explanation:
2x + 10 + 30 = 90
2x = 50
x = 25 degrees
what are the next five terms and conjuncture of 1, 8, 27, 64
Answer:
125, 216, 343, 512
Step-by-step explanation:
The next number in the sequence 1, 8, 27, 64 is 125.
This sequence follows the pattern of starting with the number 1, then finding the cube of each subsequent integer (the cube of a number is found by multiplying the number by itself twice, so the cube of 2 is 222=8). Therefore, the next number in the sequence would be 555=125.
The following T account how tranaction that were recorded by Reidential Relocator, a firm that pecialize in local houing rental
Cah
(a) 179,000 (b) 35,000
(d) 19,000 (e) 590
(g) 1,900 (h) 9,900
(i) 3,900
Equipment
(c) 69,000
Account Receivable
(f) 10,200 (g) 1,900
Account Payable
(c) 69,000
Supplie
(b) 35,000
Scott Hamilton, Capital
(a) 179,000
Fee Income
(d) 19,000
(f) 10,200
Telephone Expene
(e) 590
Scott Hamilton, Drawing
(i) 3,900
Salarie Expene
(h) 9,900
Required: Prepare a trial balance and an income tatement for Reidential Relocator. The trial balance i for December 31, 20X1, and the income tatement i for the month ended December 31, 20X1
Trial Balance as of December 31, 20X1:
Account Debit Credit
Cash: 179,000
Equipment: 69,000
Accounts Receivable: 11,100
Accounts Payable: 69,000
Supplies: 35,000
Scott Hamilton, Capital: 179,000
Fee Income: 29,200
Telephone Expense: 590
Scott Hamilton, Drawing: 3,900
Salaries Expense: 9,900
Total: 368,190 368,190
Income Statement for the month ended December 31, 20X1:
Revenue: 29,200
Expenses:
Equipment: 69,000
Supplies: 35,000
Telephone Expense: 590
Salaries Expense: 9,900
Total Expenses: 114,490
Net Income: (85,290)
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Can you help me with this ?! !!
Step-by-step explanation:
remember,
x^-n = 1/x^n
any negative exponent of 1.3 means we have to consider it as 1/1.3 with the positive exponent.
so, if the given temperature (x) is negative, 1.3 has a positive exponent and gets bigger and bigger the lower (smaller) x gets.
if the given temperature (x) is positive, 1.3 has a negative exponent and gets smaller and smaller the higher (bigger) x gets.
the domain is the interval or set of all valid x-values.
there is no need for any restriction for x.
so, the domain is all real numbers.
the question is : up to what temperature will there be heating ?
at 5°C ? yes, sure.
at 10°C ? yes, sure.
at 15°C ? some people still need heating.
at 20°C ? most likely not.
but f(20) = $0.042094266... ≈ $0.04
so, still a tiny little bit of heating is happening for the function, but in reality most likely not at all.
the information about such a limit is missing in the question. so, again no limit for x.
f(-8) means that x = -8.
f(-8) = 8(1.3)^--8 = 8(1.3)⁸ = 8×8.15730721 =
= 65.25845768
when the low outside temperature is -8°C, it would cost $65.26 to heat the building.
I don't know the answer options to the last part, but the interpretation certainly is in the context of the problem.
