Answer:
-14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x/2-5=-12
1/2x+-5=-12
1/2x-5=-12
Step 2: Add 5 to both sides.
1/2x-5+5=-12+5
1/2x=-7
Step 3: Multiply both sides by 2.
2*(1/2x)=(2)*(-7)
x=-14
Answer:
-14
Step-by-step explanation:
x/2 = -12 + 5 << add both sides by 5
x/2 = -7 << Combine -12 + 5
x = -14 << Multiply both sides by 2
This revolves around the idea of inverse operations
To get x by itself we needed to bring the other numbers to the other side of the equation.
Inverse operations is bring the numbers to the other side by doing the opposite operation it shows.
ex: if the number is +5 on one side, it will be -5 on the other
Hope this helps!
If you don't understand, please feel free to comment and let me know!
Have a great day!
HELPPPP WILL GIVE BRAINLIST
Answer:
according to me both
hope it helps
plz mark as btainliest
15) 3x2 - x - 10 When this trinomial is factored completely, one of its factors is A) x 2 B) x - 5 C) 3x 5 D) 3x - 2
When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Solving the given trinomial 3x² - x - 10.
=>3x² - 6x+5x - 10
=>3x(x-2)+5(x-2)
=>(3x+5)(x-2)
The two factors of the given trinomial 3x² - x - 10 is (3x+5) and (x-2), but according to the given options, the correct answer is option C - 3x+5.
Thus, When the trinomial 3x² - x - 10 is factored completely, one of its factors is 3x+5.
Complete question: 3x² - x - 10
When this trinomial is factored completely, one of its factors is
A) x + 2
B) x - 5
C) 3x + 5
D) 3x - 2
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Compare the following scores: A score of 75 on a test with a mean of 65 and a standard deviation of 8 A score of 75 on a test with a mean of 70 and a standard deviation of 4
A) A score of 75 with a mean of 70 and a standard deviation of 4 is better.
B) The two scores are statistically the same.
C) A score of 75 with a mean of 65 and a standard deviation of 8 is better
D) You cannot determine which score is better from the given information.
Answer:
The two scores are statistically the same
Step-by-step explanation:
Butyric acid ( c3h7cooh) is a weak acid . what is the ph of a 0.0250 m solution of this acid. ka = 1.5 x 10-5 (2 decimal places)
The pH of the weak acid is 3.21
Butyric acid is known as a weak acid, we need the concentration of [H+] formula of weak acid which is given by this equation :
\([H^{+}]=\sqrt{Ka . Ma}\)
where [H+] is the concentration of ion H+, Ka is the weak acid ionization constant, and Ma is the acid concentration.
Since we know the concentration of H+, the pH can be calculated by using
pH = -log[H+]
From question above, we know that :
Ma = 0.0250M
Ka = 1.5 x 10¯⁵
By using the equation, we can determine the concentration of [H+]
[H+] = √(Ka . Ma)
[H+] = √(1.5 x 10¯⁵ . 0.0250)
[H+] = 6.12 x 10¯⁴ M
Substituting the value of [H+] to get the pH
pH = -log[H+]
pH = -log(6.12 x 10¯⁴)
pH = 3.21
Hence, the pH of the weak acid c3h7cooh is 3.21
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1. what is greater? 2 or 8/3
2. what is greater? 2 1/2 or 2.3
3. what is greater? 0.7 or 7/9
4. what is greater? 33/35 or 35/36
5. what is greater? 2/7 or 6/21
6. what is greater? 10/3 or 3.3
7. what is greater? 7/4 or 1.8
Answer:
1) 8/3
2) 21/2
3)7/9
4) 35/36
5)6/21
6)10/3
7)7/4
PLEASE HELP
Find the current value of a car bought for new at $18300 which depreciates at 8% per annum over 4 years
Answer:
12, 444
Step-by-step explanation:
•First find out what is 8% of 18300
=8\100 ×18300\1 = 146400\100 =1464. [\ means ÷]
• Next multiply 1464 by 4 years =5,856
•Finally calculate 18300- 5856 = 12,444 (we are saying 18300 - 5856 because the money
decreased & 5856 represnt 8% of 18300 in 4 years)
Note :~ Appreciation is when money increases
~Deperciation is when money decreases
Hope this helps !!!In a sequence of numbers a4=7
, a5=10
, a6=13
, a7=16
, and a8=19
. Based on this information, write an explicit equation to find the nth
term in the sequence, an
?
Answer:
22
Step-by-step explanation:
the terms are counting by 3. making it by adding three to the lest term will give you the answer.
Solve the inequality 2x-5 is less than or equal to -x+12 . Give your answer as an interval.
Answer:
\(\Large \boxed{\mathrm{( - \infty, \frac{17}{3}) }}\)
Step-by-step explanation:
\(2x-5\leq -x+12\)
Add x and 5 on both parts.
\(2x+x\leq 12+5\)
Combine like terms.
\(3x\leq 17\)
Divide both parts by 3.
\(\displaystyle x \leq \frac{17}{3}\)
Find hf if ge= 43 yd.
Step-by-step explanation:
Area of this kit = 1/2 (gf * hf)
258 yd^2 = 1/2 (43 * HF )
HF = 258 *2 / 43 = 12 yds
(0,0) (-4,-4) (2,-4) graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin
Answer:
The image coordinates are:
A'(0, 0)
B'(-8, -8)
C'(4, -8)
The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
Step-by-step explanation:
Let the points of a triangle be
A(0,0) B(-4,-4) C(2,-4)We need to determine the graph of the image of this triangle after a dilation with a scale factor of 2 centered at the origin.
As scale factor > 0, thus the image will be enlarged.A dilation by a scale factor of 2 centered at the origin means the coordinates of the image can be obtained by multiplying the original coordinates with 2.
Next, the rule of dilation by a scale factor of 2 is given by
Dilation: (x, y) → (2x, 2y), centered at (0, 0)
P(x, y) → P' (2x, 2y)
A(0, 0) → A' (2(0), 2(0)) → A'(0, 0)
B(-4, -4) → B' (2(-4), 2(-4)) → B'(-8, -8)
C(2,-4) → C' (2(2), 2(-4)) → C'(4, -8)
Therefore, the image coordinates are:
A'(0, 0)B'(-8, -8)C'(4, -8)The graph of the image coordinates attached below.
The image triangle A'B'C' is illustrated in green color.
A ball is tossed at a hole in a board. The ball goes into the hole 15 times and misses the hole 52 times. What is the probability that the ball will go into the hole when tossed? Answer as a percent rounded to the nearest whole number.
Answer:
Probability (Ball goes into hole) = 0.22388 or 22.388%
Step-by-step explanation:
Given:
Ball goes into hole = 15 times
Ball miss the hole = 52 times
Find:
Probability (Ball goes into hole)
Computation:
Total number of tries = 15 + 52
Total number of tries = 67
Probability (Ball goes into hole) = 15 / 67
Probability (Ball goes into hole) = 0.22388 or 22.388%
What is the value of b?
What is the discriminant of the polynomial below?
4x² + 4x+1
О AD
OB. -12
O C. -4
OD. 32
Answer:
A. 0
Step-by-step explanation:
You want the discriminant of the quadratic 4x²+4x+1.
DiscriminantThe discriminant of quadratic ax²+bx+c is ...
d = b² -4ac
Your given expression has ...
a = 4b = 4c = 1Substituting these values into the formula for the discriminant, we get ...
d = 4² -4(4)(1) = 16 -16 = 0
The discriminant of the polynomial is 0.
Given the following sets, A=[5,6,7,8,9],B=[a,b,5,6,7,11] Find: A∩B Make sure to enter your answer as a set, using [ ]. As you enter your answer, separate the elements in the set with a comma, as in {1,2,3} (Note the space between the comma next element in the set). If you need to enter the empty set, either write "empty set" or write [ ] Given the following sets, A={a,2,4,8,9},B={a,b,5,6,7,11} Find: A∩B Make sure to enter your answer as a set, using [ ] . As you enter your answer, separate the elements in the set with a comma, as in {1,2,3} (Note the space between the comma next element in the set). If you need to enter the empty set, either write "empty set" or write [] Given the following sets, A=[5],B={a,b] Find: A∪B Make sure to enter your answer as a set, using [ ] . As you enter your answer, separate the elements in the set with a comma, as in {1,2,3} (Note the space between the comma next element in the set). If you need to enter the empty set, either write "empty set" or write [\} Given the following sets, A=[34,35,36,37],B={38,39,40,41} Find: A∩B Make sure to enter your answer as a set, using [ ]. As you enter your answer, separate the elements in the set with a comma, as in [1,2,3} (Note the space between the comma next element in the set). If you need to enter the empty set, either write "empty set" or write [] Given the following sets, A=[5,6,7,8],B={a,b,c,d} Find: A∩B Make sure to enter your answer as a set, using [ ]. As you enter your answer, separate the elements in the set with a comma, as in {1,2,3} (Note the space between the comma next element in the set). If you need to enter the empty set, either write "empty set" or write [\}
1. A∩B = [5, 6, 7] , 2. A∩B = [a] , 3. A∪B = [5, a, b] , 4. A∩B = empty set
5. A∩B = empty set . These are the results of finding the intersection (A∩B) and union (A∪B) of the given sets, where appropriate, or indicating an empty set if there is no intersection.
1. A∩B = [5, 6, 7] To find the intersection of sets A and B, we look for elements that are present in both sets. In this case, the elements 5, 6, and 7 are common to both sets A and B. Therefore, A∩B = [5, 6, 7].
2. A∩B = [a]To find the intersection of sets A and B, we look for elements that are present in both sets. In this case, the only element common to both sets A and B is 'a'. Therefore, A∩B = [a].
3. A∪B = [5, a, b]To find the union of sets A and B, we combine all the elements from both sets, removing any duplicates. In this case, the union of sets A and B is [5, a, b].4. A∩B = empty setTo find the intersection of sets A and B, we look for elements that are present in both sets. However, in this case, there are no common elements between sets A and B. Therefore, A∩B is the empty set.5. A∩B = empty setTo find the intersection of sets A and B, we look for elements that are present in both sets. However, in this case, there are no common elements between sets A and B. Therefore, A∩B is the empty set.
Therefore, 1. A∩B = [5, 6, 7] , 2. A∩B = [a] , 3. A∪B = [5, a, b] , 4. A∩B = empty set5. A∩B = empty set . These are the results of finding the intersection (A∩B) and union (A∪B) of the given sets, where appropriate, or indicating an empty set if there is no intersection.
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if rx y= 0.83, then we can conclude that x and y have a relatively
If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.
In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.
It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.
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Cuantos yenes se pueden comprar con 200 yenes si el yen esta a 0.178 ,con operacion porfavor
According to the law of proportions, 200 pesos mx must be used to purchase 0 point 0645 yen.
A proportion is a portion of the total amount and can be calculated using the rule of three. In this issue, one yen costs $0.17 and one dollar equals 3100 pesos. This means that 3100 pesos are equal to one yen.
The rule of three is as a result:
1 yen - 3100 pesos
x yen - 200 pesos
By applying cross multiplication:
\(3100x = 200 \\ x = \frac{200}{3100} \)
x = 0.0645
Thus, with 200 pesos mx you can buy 0.0645 yen.
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Note that the full question is:
How many yen can be bought with 200 yen if the yen is at 0.178, with operation please
algebraic expression question 3x and (5x+8y) find the product
I need to know the area in square centimeters of sector ABC?
Answer:
75π / 2
Step-by-step explanation:
a = (∅ / 2π) * πr²
a = (3π/4 / 2π) * π(100)
a = (3/8) * 100π
a = 300/8 * π
a = 75/2 * π
a = 75π / 2
Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x^2 + 4
g(x) = √3x^3
How does the composition of functions determine that this composition is how much Barret makes per hour?
Answer:
f(g(x)) = 6x3 + 4 dollars over hour
Step-by-step explanation:
got it right on the test
f(g(x)) is the amount of money earned in x number of hours.
f(g(x)) is 6\(x^6\) + 4.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = 2x² + 4
g(x) = √3x³
f(g(x)):
= f(√3x³)
= 2(√3x³)² + 4
= 2 x 3 x \(x^6\) + 4
= 6\(x^6\) + 4
Thus,
f(g(x)) represents the amount of money earned in x hours.
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if the sum of a number and two is doubled, the result is nine less than the number. find the number
which equation represents the relationship between x values and y values in the table
y=4x+6
y=2x+4
y=x+4
2x+12
x y
0 4
2 16
4 28
6 40
10 64
You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total
profit from the sale.
Answer:
675
Step-by-step explanation:
Answer:
675
Step-by-step explanation:
. Consider the following boundary-value problem: y" = 2x²y + xy +2, 15154. Taking h = 1, set up the set of equations required to solve the problem by the finite difference method in each of the following cases of boundary conditions: y(1) = -1, y(4) = 4; (Do not solve the equations!).
In the given boundary-value problem, we are asked to set up the set of equations required to solve the problem using the finite difference method. The equation is y" = 2x²y + xy + 2, and we are given the boundary conditions y(1) = -1 and y(4) = 4.
To solve the problem using the finite difference method, we can approximate the second derivative y" using the central difference formula: y" ≈ (yₙ₊₁ - 2yₙ + yₙ₋₁) / h². Substituting this approximation into the original differential equation, we obtain the finite difference equation: (yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2.
For the given boundary conditions, y(1) = -1 and y(4) = 4, we can use these values to form additional equations. At x₀ = 1, we have the equation y₀ = -1. At xₙ = 4, we have the equation yₙ = 4.
In summary, the set of equations required to solve the boundary-value problem by the finite difference method, with the given boundary conditions, would be:
(y₂ - 2y₁ + y₀) / h² = 2x₁²y₁ + x₁y₁ + 2,
(y₃ - 2y₂ + y₁) / h² = 2x₂²y₂ + x₂y₂ + 2,
...
(yₙ₊₁ - 2yₙ + yₙ₋₁) / h² = 2xₙ²yₙ + xₙyₙ + 2,
y₀ = -1,
yₙ = 4.
These equations form a system of equations that can be solved numerically to obtain the solution to the boundary-value problem.
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This is what I’m confused on please help
Work out the length of AB.
Give your answer to 3 significant figures.
A (-1, 6)
B (5, 3)
Answer:
AB = 6.71
Step-by-step explanation:
See the attached worksheet.
Find the lengths of the two sides of the right triangle:
CB = (5 - (-1)) = 6
CA = (6-3) = 3
Use the Phythagorean Theorem to find AB.
6^2 + 3^2 = AB^2
AB^2 = 45
AB = 6.71
HELP!!!! please im begging
Answer:
57 1/10
(14× 3/4)+(4× 1/2)+(8× 1/2)+(10× 2/5)+(10× 2/5)+(12× 4/5)= 571/10 or 57× 1/10
PLEASE HELP!!!!! What -10/2 as a decimal
Answer:
-5.0
Step-by-step explanation:
-10/2 is the same as -5/1
Answer:
-5
Step-by-step explanation:
This cannot be expressed as a decimal as -10 divided by 2 is an integer answer.
Raymond works for an architecture firm. His company has a contract to design a building on a rectangular plot of land that has an area of 421,808 square meters. The plot of land is 328 meters wide. What is the length of the plot?
Answer:
1286 meters long
Step-by-step explanation:
421,808 divided by the width of the plot gives you 1,286 meters for the width.
A delivery driver reported that he was 280 miles away from headquarters.
The driver can expect to travel 50 miles per hour. How long will it take
to return?
Answer:
5.6 hoursStep-by-step explanation:
Using the formula for calculating speed expressed as shown;
Speed = Distance/Time
Given parameters
Distance = 280miles
Speed = 50miles/hour
Required
Time it will take t return
From the formula above, Time = Distance/ Speed
Substituting the given parameters
Time = 280/50
Time = 5.6 hours
Hence the time it will take the driver to return is 5.6hours
What would be the opportunity cost of spending $90,000 on advertising but only producing 12,000 units? Potential sales (before advertising) of 12,000 units, Price of $16, Fixed costs of $48,000, Variable costs $8, Advertising $90,000 Assume advertising multiplier is (30,000+ advertising)/30,000
$76,800
$576,000
$192,000
−$191,936
$768,000
The opportunity cost of spending $90,000 on advertising but only producing 12,000 units can be calculated by comparing the benefits of the advertising investment to the potential alternative uses of that money.
First, let's calculate the total cost of producing 12,000 units. Fixed costs amount to $48,000, and variable costs are $8 per unit, resulting in a total cost of $48,000 + ($8 × 12,000) = $144,000.
Next, we need to calculate the potential sales revenue without advertising. With a price of $16 per unit, the potential sales revenue would be $16 × 12,000 = $192,000.
Now, let's calculate the potential sales revenue after advertising. The advertising multiplier is given as (30,000 + advertising) / 30,000. In this case, the multiplier would be (30,000 + 90,000) / 30,000 = 4.
Therefore, the potential sales revenue after advertising would be $192,000 × 4 = $768,000.
The opportunity cost is the difference between the potential sales revenue after advertising ($768,000) and the potential sales revenue without advertising ($192,000), which is $768,000 - $192,000 = $576,000.
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