The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The difference of depth between them is 1km.
1. −17 km, and the Japan Trench is deeper is False.
2. −1 km, and the Peru-Chile Trench is deeper is False.
3. 1 km, and the Japan Trench is deeper is True.
4. 17 km, and the Peru-Chile Trench is deeper is False.
Given that,
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench.
Based on the difference in depth between the Japan Trench and the Peru-Chile Trench, which is 1 km deeper, the Japan Trench is deeper.
The trench that is lower to sea level has a deeper depth. In other words, it is the one that is lower than the others by a wider amount.
The depth of the Japan Trench is 9 kilometers. There are 8 km below sea level in the Peru-Chile Trench. The Japan Trench is hence deeper as a result.
The difference is 9-8=1 km
Therefore, the difference of depth between them is 1km and 3rd option is True which is 1 km, and the Japan Trench is deeper.
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Answer:
c
Step-by-step explanation:
given g(x) = 2x/x-2, x≠2. find g¹³(8)
Answer:
8/3
Step-by-step explanation:
[tex]g^2 (x)=\frac{2\left(\frac{2x}{x-2} \right)}{\frac{2x}{x-2}-2} \\ \\ =\frac{4x}{2x-2(x-2)} \\ \\ =\frac{4x}{4} \\ \\ =x[/tex]
From this, we can see that g(x) is its own inverse. Thus, [tex]g^{13}(x)=g(x)[/tex]
So,
[tex]g^{13}(8)=\frac{2(8)}{8-2}=8/3[/tex]
Which Law of Exponents is used to write (3ab)³ as the equivalent expression 27a³b³?
Choose the correct answer below.
OA. Product of a Power Law
B. Power of a Power Law
C. Power of a Product Law
OD. Power of a Quotient Law
...
Answer:
A) product of a power law
Step-by-step explanation:
most sensible
A farmer has 150 yards of fencing to place around a rectangular garden. The fence will have an opening that is 1/3 of the garden's length. Write a function A(x) that describe the area of the garden, where x is the length of the garden. Find the dimensions if that has a maximum area, and find the maximum area
The garden has a length of 37.5 yards and width of 37.5 yards as well as an opening of 12.5 yards.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width.
150 yards of fencing is available, hence:
2(x + y) = 150
x + y = 75
y = 75 - x (1)
The area (A) of the garden is given as:
A = xy
A = x(75 - x)
A = 75x - x²
The maximum area is at A' = 0
A' = 75 - 2x
75 - 2x = 0
x = 37.5 yards
y = 75 - x = 75 - 37.5 = 37.5
Opening of the garden = 1/3 * 37.5 = 12.5 yards
The garden has a length of 37.5 yards and width of 37.5 yards as well as an opening of 12.5 yards.
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612,315 in scientific notation
Answer: 6.12315 × 105
Step-by-step explanation: No worry's just here for the fun of it
A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the width
The length and width of the yard with perimeter of 400 feet are 136 ft and 64 ft respectively.
How to find perimeter of a rectangular yard?The yard has a perimeter of 400 feet.
Eight times the length of the yard equals seventeen times the width.
Therefore,
perimeter of a rectangular yard = 2(l + w)
where
l = lengthw = widthTherefore,
8l = 17w
Hence,
l = 17 / 8 w
perimeter of a rectangular yard = 2(17 / 8 w + w)
perimeter of a rectangular yard = 2( 25 /8 w)
perimeter of a rectangular yard = 50/ 8 w
400 = 50 / 8 w
cross multiply
3200 = 50w
divide both sides by 50
w = 3200 / 50
w = 64 ft
l = 17 / 8 × 64 = 136 ft
Therefore, the length and width of the yard with perimeter of 400 feet are 136 ft and 64 ft respectively.
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Classify the indicated pairs of angles.
Answer:
can you send a link or photo of the angles?
Step-by-step explanation:
After rolling a fair, six-sided die 100 times, it was observed that the probability of rolling a 2 was 12%. What would the probability be of rolling a 2 the next time that same die is rolled?
Answer:
The probability of rolling a 2 the next time that same die is rolled is 0.167.
Step-by-step explanation:
In this question it is given that there is rolling dice that is six sided and which is rolled for a 100 times and it was further observed that the probability of rolling a 2 was 12%.
Firstly, let us understand what is probability;
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
Now,
Let us understand the concept of impossibility and certainty of an event;
An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Further, In the above-mentioned condition, it is observed that the die has been rolled a 100 times;
The probability of getting X is only 12%.
Now,
In the condition where the die is rolled in for an extra time being a six sided, the probability of getting a 2 is 1/6.
=> 1/6
=> 0.167
Therefore, the probability of rolling a 2 the next time that same die is rolled is 0.167.
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Integrate the following function:
Answer: None of these
Step-by-step explanation:
First term
[tex]\int 12e^{12t} \text{ } dt=12 \int e^{12t} \text{ } dt=e^{12t}+C[/tex]
Second term
[tex]\int \sqrt[3]{27t} \text{ } dt=3\int t^{1/3} \text{ } dt=\frac{9}{4}\sqrt[3]{t^4}+C[/tex]
Third term
[tex]\int \frac{5}{t} \text{ } dt=5 \int \frac{1}{t} \text{ } dt=5\ln t+C[/tex]
Fourth term
[tex]\int 15 \text{ } dt=15t+C[/tex]
Adding these integrals, we get
[tex]\int g(t) \text{ } dt=e^{12t}+\frac{9}{4}\sqrt[3]{t^4}+5\ln t+15t+C[/tex]
which matches none of the options.
The sum of two and eight times a number is -134. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve
it yet. Use z as your variable.
The equation is
B) Solve your equation in part [A] for x.
Answer: x =
Answer:
A) 2 + 8x = -134
B) x = -17
Step-by-step explanation:
Note: I am assuming the question says use x as a variable, not z. Otherwise part B does not make sense
If we let variable x be the number then
8 times a number ==> 8x
2 and 8 times a number ==> 2 + 8x
2 and 8 times a number is -134 ==> 2 + 8x = -134
A) Equation form is 2 + 8x = -134
B) Equation is
2 + 8x = -134
Subtract 2 from both sides:
2 - 2 + 8x = -134 - 2
8x = -136
Divide both sides by 8 to give
8x/8 = -136/8
x = - 17
please help the answer is 97 but i want to know the process of doing it ASAP
Answer:
97
Step-by-step explanation:
You want the value of the composition of functions f and g for x=4.
CompositionThe ring operator signifies a composition of functions. It works right to left. That is, ...
[tex](f\circ g)(x)=f(g(x))[/tex]
A composition is evaluated using the Order of Operations, working from inner parentheses outward.
Application[tex](f\circ g)(4)=f(g(4)) = f(3-\dfrac{1}{2}4^2)=f(-5)\\\\=4(-5)^2-3=100-3=\boxed{97}[/tex]
5. The Cupcake Café makes 4 and 1/2 times as much revenue on doughnuts as muffins. If total sales were $44,000 for May, what dollar amount of each was sold?
Answer:
Step-by-step explanation:
According to the question, the cupcake cafe makes 1/2 times as much revenue on doughnuts as muffins and the total revenue is total sales were $44,000. Let us assume that the revenue on muffins is X and then the revenue on doughnuts is 412X. 4 1 2 X . The amount of money earned from muffins is 20000 dollars
Let A = {10, 20, 30, 40, 50, 60} and B = {10, 20, 50}. What is A ∩ B?
A∩B = {10, 20, 50}
The given two function is
A = { 10, 20, 30, 40, 50, 60}
B = { 10, 20, 50}
We have to find the value of function of A∩B
A∩B means the number which is common in both the function,
The number common in function A and B is 10, 20, 50.
Therefore the function A∩B = {10, 20, 50}
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2h+j+5k=57
h+j+k=16
h+6j+2k=35
Hey, could you perhaps provide a little bit more info regarding what method/topic/skill you are required to use in order to solve the following? Also, are these three different expressions, or are they a part of the same question. Thanks!
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches. If a poorly thrown dart is equally likely to hit anywhere on the dartboard, what is the probability of it hitting the target? (Write your answer as a fraction.)
The value of the probability of hitting the target is 0.1736.
According to the statement
We have to find that the value of the probability.
So, For this purpose, we know that the
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.
From the given information:
A circular dartboard with a diameter of 24 inches has a circular bullseye at its center. The diameter of the target is 10 inches.
Then
Area of a circular dartboard = [tex]\pi r^{2}[/tex]
Area of a circular dartboard = [tex](3.14)* 12^{2}[/tex]
Area of a circular dartboard = [tex](3.14) *144[/tex]
Area of a circular dartboard = 452.16 inches
And then
Area of a circular bullseye = [tex]\pi r^{2}[/tex]
Area of a circular bullseye = [tex](3.14)* 5^{2}[/tex]
Area of a circular bullseye = [tex](3.14) * 25[/tex]
Area of a circular bullseye = 78.5
Then
Probability of hitting the target = Area of a circular bullseye / Area of a circular dartboard
Probability of hitting the target = 78.5 / 452.16
Probability of hitting the target = 0.1736.
So, The value of the probability of hitting the target is 0.1736.
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15. Which relation has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8)?
O {(2,-5), (3,-3), (6, 0), (7,-5), (1, 0), (8,-5), (4, -3), (5, 0))
O((-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)}
{(-5, -5), (-3,0), (2, 8), (1,7), (5, 3), (6,4)}
((-5, 9), (10, -3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}
Among the four options provided in the reference diagram for the question attached thereby along with the question statement, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
As per the question statement, we are required to determine the relation which has a domain of {-5, -3, 0) and a range of {1, 2, 3, 4, 5, 6, 7, 8).
To solve this question, we will use the trial-and-error method on the options provided. We have to find out possible (x, y) combination, where "x" belongs to the set of {(-5), (-3), 0} and "y" belongs to the set of {1, 2, 3, 4, 5, 6, 7, 8}, and match these combinations with the options.
The first option has x values from the set of {1, 2, 3, 4, 5, 6, 7, 8} and y values from the set of {(-5), (-3), 0}. Hence, it is not the correct answer.
The second option has x values from the set of {(-5), (-3), 0} and y values from the set of {1, 2, 3, 4, 5, 6, 7, 8}. Hence, it is one possible correct answer.
The third and fourth options have values out of the sets of {(-5), (-3), 0} and {1, 2, 3, 4, 5, 6, 7, 8}. Hence, they are not the correct answers.
Therefore, {(-5, 8), (-5, 2), (-3, 3), (-3, 1), (0, 4), (0, 5), (-5, 7), (-3, 6)} is the relation that has a domain of {(-5), (-3), 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}.
Range & Domain of a Function: In a function, say [y = f(x)], the set of values we can plug into the function, i.e., "x" is the domain for the function while, the set of outputs the function will produce on inputs of x, will form the Range of the function.To learn more about Range & Domain of a Function, click on the link below.
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How would you find the missing number in a mean sequence where you only know one number? (and also the mean of the known number and the missing number)
Step-by-step explanation:
The mean of a set of numbers is the average of those numbers. You can find the mean by adding the set of numbers and dividing by how many numbers are given. If you are given the mean and asked to find a missing number from the set, use a simple equation.
Add up the numbers you know. The problem states a mean of 58 with this set of numbers: 43, 57, 63, 52 and x. Assign the missing number a value of “x.” So add 43, 57, 63 and 52 to get 215.
Set up your equation by adding 215 plus “x” (the missing number), divided by 5, the number of values given. Set that side of the equation equal to the mean, 58. So, your equation would look like this: [tex] \frac{215+x}{5} = 58 [/tex]
Multiply each side by 5 since our goal is to get “x” by itself. This process cancels the 5 on the left side of the equation and gives you 290 on the right side (58 × 5). Now, your equation should look like this: [tex] 215+x=290 [/tex]
Subtract 215 from each side as you continue to work to get “x” alone. This cancels out the 215 on the left side of the equation and gives you 75 on the right side. Now, your equation should show that x = 75. Therefore, the missing number is 75.
Check the missing number by adding all the numbers together and dividing by 5.
[tex] \frac{43+57+63+52+75}{5} = \frac{290}{5} = 58 [/tex]
Jaun's age, x, is 4 times his age 15 years ago
The expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
How to rewrite the statement as an expression?The mathematical statement is given as
Jaun's age, x, is 4 times his age 15 years ago
From the statement, we have:
x represent Juan's current age
This means that his age 15 years ago is
15 years ago = x - 15
4 times his age 15 years ago is
4 * 15 years ago = 4 * (x - 15)
The above equation is equivalent to his current age
So, we have
x = 4 * (x - 15)
Hence, the expression of the mathematical statement given as "Jaun's age, x, is 4 times his age 15 years ago" is x = 4 * (x - 15)
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Would be wonderful, if anyone could help me understand what steps you should do for this one.
The value of x is 6 is proved by equating line segment PM and MR as M is the midpoint of line PR.
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.
It is given that M is the midpoint of line segment PR which implies M will divide PQ into two equal parts that is PM (2x + 5) equals MR (4x - 7). now calculating x value first :
PM = MR
2x+5 = 4x -7
4x -2x = 5 + 7
2x = 12
x = 12/2
x = 6
Hence proved that the value of x is 6
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What is the base 10 representation of 142^5 (142 in base 5)? I know it's 47, but I need to know why. None of the answers to this question have an actual explanation, they all just say "Because I did the assignment earlier and it's 47".
The base 10 representation of the number 142 base 5 as required to be determined in the task content is; 47.
What is the base 10 representation of the number 142 which is to base 5 as required in the task content?Since, the conversion of numbers from any base to base 10 requires imaginary exponents to represent place value in such number as follows;
142₅ can therefore be written as follows; 1²4¹2⁰₅.
On this note the evaluation is carried out by summing the product of each digits and 5 to the corresponding power as follows;
1²4¹2⁰₅ = (2 × 5⁰) + (4 × 5¹) + (1 × 5²)
= (2 × 1) + (4 × 5) + (1 × 25)
= 2 + 20 + 25.
= 45.
Ultimately, the base 10 representation of the number 142 base 5 as required to be determined in the task content is; 47.
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Juan and his children went into a restaurant where they sell drinks for $2 each and tacos for $4 each. Juan has $40 to spend and must buy a minimum of 11 drinks and tacos altogether. If xx represents the number of drinks purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities for the given situation is x+y≤11 and 2x+4y≥40.
Given that, the cost of each drink = $2 and the cost of each taco = $4.
What is a system of inequalities?A system of inequalities is a set of two or more inequalities in one or more variables. Systems of inequalities are used when a problem requires a range of solutions, and there is more than one constraint on those solutions.
x represents the number of drinks purchased and y represents the number of tacos purchased.
Juan has $40 to spend and must buy a minimum of 11 drinks and tacos altogether.
So inequalities are x+y≤11 and 2x+4y≥40
Therefore, the system of inequalities for the given situation is x+y≤11 and 2x+4y≥40.
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PLS HELP THIS IS DUE FIRST THING TMR
Answer:
a=25
b=90
c=45
d=25
e=90
g=130
h=50
i=130
k=85
l=95
n=95
Step-by-step explanation:
A recent student poll showed that 18% of the
high school students are in a music class.
What is the ratio of high school students
who are in a music class to students who
are not? (Example 2)
The ratio of high school students who are in a music class to students who are not is 9 : 41.
What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, and the orange to total fruit ratio is 8:14.So, 18% of high school students are in a music class which means the rest 82% are not in a music class.
Then the ratio:
18 : 82Simplest form:
18/82 = 9/41 = 9 : 41Therefore, the ratio is 9 : 41.
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QUICK IM TIMED
Solve the simultaneous question x-2y=10 X=6y+2
Answer:
x = 32
y = 5
Step-by-step explanation:
2y=10
X=6y+2
Put both equations in the same format
x - 6y = 2
Manipulate the equations so that they have a common coefficient
6y = 30
Solve for one coefficient
(x - 6y = 2) + (6y = 30)
x + (-6y + 6y) = 2 + 30
x = 2 + 30
x = 32
Solve for the other coefficient
2y = 10
y = 5
x - 6y = 2
32 - 6y = 2
-6y = 2 - 32
-6y = -30
y = -30/-6
y = 5
Let [tex]\alpha[/tex] and [tex]\beta[/tex] be real number such that [tex] - \frac{\pi}4 < \beta < 0 < \alpha < \frac{\pi}{4} .[/tex] If [tex]\sin( \alpha + \beta ) = \frac{1}{3}[/tex] and [tex]\cos( \alpha - \beta ) = \frac{2}{3}[/tex] , then the greatest integer less than or equal to [tex] \bigg( \frac{ \sin( \alpha ) }{ \cos( \alpha ) } + \frac{ \cos( \beta ) }{ \sin( \alpha ) } + \frac{ \cos( \alpha ) }{ \sin( \beta ) } + \frac{ \sin( \beta ) }{ \cos( \alpha ) } \bigg) {}^{2} \\[/tex] is
Step-by-step explanation:
We have,
[tex]\begin{gathered} \bullet \: \bold{ - \dfrac{\pi}{4} < \beta < 0 < \alpha < \dfrac{\pi}{4} } \\ \\ \implies \: - \dfrac{\pi}{4} < \alpha + \beta < \dfrac{\pi}{4} \end{gathered}[/tex]
[tex]\begin{gathered} \rm\bullet \: \: \: \sin( \alpha + \beta ) = \dfrac{1}{3} \: \: \: \: \: and \: \: \: \: \: \cos( \alpha - \beta ) = \dfrac{2}{3} \\ \end{gathered} [/tex]
Now,
[tex]\begin{gathered} y= \bigg( \dfrac{ \sin( \alpha ) }{ \cos( \beta ) } + \dfrac{ \cos( \beta ) }{ \sin( \alpha ) } + \dfrac{ \cos( \alpha ) }{ \sin( \beta ) } + \dfrac{ \sin( \beta ) }{ \cos( \alpha ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha ) }{ \cos( \beta ) } + \dfrac{ \sin( \beta ) }{ \cos( \alpha ) } + \dfrac{ \cos( \beta ) }{ \sin( \alpha ) } + \dfrac{ \cos( \alpha ) }{ \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha ) \cos( \alpha ) + \sin( \beta \cos( \beta ) ) }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ \sin( \alpha) \cos( \alpha ) + \sin( \beta ) \cos( \beta ) }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \bigg( \dfrac{ \sin( \alpha + \beta ) }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ \sin( \alpha + \beta ) }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{ 1 }{ \cos( \beta ) \cos( \alpha) } + \dfrac{ 1 }{ \sin( \alpha ) \sin( \beta ) } \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{\cos( \beta ) \cos( \alpha) + \sin( \alpha ) \sin( \beta ) }{ \cos( \beta ) \cos( \alpha) \sin( \alpha ) \sin( \beta )} \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \sin^{2} ( \alpha + \beta ) \bigg( \dfrac{\cos( \alpha - \beta ) }{ \cos( \beta ) \cos( \alpha) \sin( \alpha ) \sin( \beta )} \bigg)^{2} \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{2\cos( \alpha ) \cos( \beta ) \cdot 2\sin( \alpha ) \sin( \beta ) \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{\cos( \alpha + \beta ) + \cos( \alpha + \beta ) \right \} ^{2} \left \{ \cos( \alpha - \beta ) - \cos( \alpha + \beta ) \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{ \cos^{2} ( \alpha - \beta ) - \cos^{2} ( \alpha + \beta ) \right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{4\sin^{2} ( \alpha + \beta ) \cdot\cos^{2} ( \alpha - \beta ) }{ \left \{ \cos^{2} ( \alpha - \beta ) - 1 + \sin^{2} ( \alpha + \beta ) \right \}^{2} } \\\end{gathered}[/tex]
Putting the values given above, we get,
[tex]\begin{gathered} \implies y= \dfrac{4 \cdot \dfrac{1}{9} \cdot\dfrac{4}{9} }{ \left \{ \dfrac{4}{9} - 1 + \dfrac{1}{9} \right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{5}{9} - 1\right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{5 - 9}{9}\right \}^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \left \{ \dfrac{- 4}{9}\right \}^{2} } \\\end{gathered}[/tex]
[tex]\begin{gathered} \implies y= \dfrac{\dfrac{16}{81} }{ \dfrac{16}{81}} \\\end{gathered} [/tex]
[tex]⟹y=1[/tex]
Solve the equation, 13|x−8|=10. Select each correct answer. Responses x=−30 x equals negative 30 x=−22 x equals negative 22 x=103 x equals 10 over 3 x = 8 x, = 8 x = 30 x, = 30 x = 38 x, = 38
The solution to the equation 1/3|x - 8| = 10 is x = 38
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the solution to the equation?The equation is given as
1/3|x - 8| = 10
Multiply through by 3
So, we have
|x - 8| = 30
Remove the absolute bracket
So, we have
x - 8 = 30
Add 8 to both sides of the equation
So, we have
x = 38
Hence, the solution to the equation is x = 38
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A dinner set can be bought for $110000 cash or by a deposit of $37000 and 24 equal monthly installments of $4600 each. How much more will the dining set cost using the hire purchase method of payment?
The difference between the dining set cost using the hire purchase method of payment is $37400.
How to calculate the cost?It should be noted that when the hire purchase is used and there is a deposit of $37000 and 24 equal monthly installments of $4600 each.
The total amount will be:
= $37000 + ($4600 × 24)
= $37000 + $110400
= $147400
On the other hand, the dinner set can be bought for $110000 cash.
Therefore, the difference will be:
= Hire purchase - Cash.
= $147400 - $110000.
= $37400
Therefore, the difference between the dining set cost using the hire purchase method of payment is $37400.
Learn more about cost on:
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What is the least possible degree of the polynomial graphed above?
Answer:
2
Step-by-step explanation:
The graph looks to be like a parabola. Due to the end behaviour of the graph (Up in both quadrants 1 and 2) it can be said that the graph has a positive leading coefficient.
Hope that helps
Suppose a single fair die is rolled. Find the probability that it a is a 6, given that it is an even number.
The probability is?
Explanation:
"given it is an even number" tells us that the outcomes could be anything from this set {2,4,6}. We ignore the odd numbers entirely.
We have one copy of "6" out of three total items.
Therefore, we end up with a probability of 1/3
This is approximately equal to the decimal form 0.333 and the percent form 33.3%
I would stick to the fraction form since it's most exact. However, if your teacher instructs otherwise then be sure to follow said instructions of course.
Multiplying each digit of one number by each digit of another number won’t work when you’re multiplying numbers with more than three digits
Answer: this statement would be true because that would mean that 100x100=1
Step-by-step explanation:hope it helps, brainliest? i could really use it
2) What is the area of figure ABCD, in
square centimeters?
8 cm.
6 cm
6 cm
B
15 cm
Answer:
138cm^2
Step-by-step explanation:
Trianle area = (b*h)/2
b = 8cm + 15cm
h = 6cm
Triangle area = (23*6)/2
138/2 = 69cm^2
Upper triangle area
--------------------------------
since both triangles share the same base and height
69*2 = 138cm^2