How do u write 1.2 as a fraction
What is -7 5/12 written as a decimal
The simplified expression e2t + 2 + e−2t inside the radical can be re-written as
The expression [tex]e^{2t} + 2 + e^{-2t[/tex] is a quadratic equation in terms of exponentials. Without additional information, simplification beyond this stage is not generally feasible. This concept is a typical part of high school algebra, with applications in several fields.
Explanation:The provided expression [tex]e2t + 2 + e-2t[/tex] belongs to a class of mathematical problems often seen in high school algebra. It involves exponentials, which introduces the concept of exponential functions.
The expression is in a form of a quadratic equation in terms of exponentials, which can be solved via appropriate methods such as factoring, quadratic formula, or completing the square. However, without additional information or context like an equation being set to zero, simplification beyond this stage is not generally feasible. Exponential functions often have applications in fields like physics, economics, and engineering, especially in phenomena that exhibit growth or decay properties.
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The high school's lunch menu repeats every 6 school days. The middle school lunch menu repeats every 8 school days. On March 5th, both schools served chicken wraps. What is the next calendar date on which both schools will serve chicken wraps?
Final answer:
Both schools will serve chicken wraps again on March 29th.
Explanation:
The question involves finding the next calendar date when both the high school and middle school will serve chicken wraps again. To solve this problem, we need to find the Least Common Multiple (LCM) of the two repeating cycles, which are 6 days for the high school and 8 days for the middle school.
First, let's calculate the LCM of 6 and 8:
Multiple of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...Multiple of 8: 8, 16, 24, 32, 40, 48, ...We find that the smallest common multiple is 24 days.
Since both schools served chicken wraps on March 5th, we simply add 24 days to that date. This gives us:
March 5th + 24 days = March 29thTherefore, both schools will serve chicken wraps again on March 29th.
23,569 pennies rounded to nearest ten thousands
since the thousands place is a 3 which is lower than a 5
it would be rounded to 20,000
Answer:
Nearest ten thousands 20000,
Step-by-step explanation:
Given :23,569
To find : Rounded to the nearest ten thousands
Solution: We have given that 23,569
We can write it as 23,569
Step 1 : Identify the ten thousands digit 2 in 23,569
Step 2: Identify the next smallest place value 3 in 23,569
Step 2: We can the digit less than five, so it would be rounded down
Step 3 : The ten thousands remain same and Every digit after becomes a zero.
Step 4 : Number become 20000.
Therefore, nearest ten thousands 20000,
A square kitchen floor has an area of 123 square feet estimate the length of one wall to the nearest tenth of a foot
area of a square = S^2
S^2 = 123
S = sqrt(123)
S = 11.0905
rounded to nearest tenth = 11.1 feet
Graph the solution of this inequality 4\9x -10>x\3-12
Answer:
I'm terrible at explaining so here's a ss
- Ripper
Step-by-step explanation:
What is the remainder of 21 divided by 4
1 is the remainder of 21 divided by 4
What is Division?A division is a process of splitting a specific amount into equal parts.
The number which is getting divided here is called the dividend.
21 is the dividend.
The number which divides a given number is the divisor.
4 is the divisor
And the number which we get as a result is known as the quotient.
The divisor which does not divide a number completely produces a number, which is referred to as remainder.
21 ÷ 4 = 5 with a remainder of 1.
Hence, 1 is the remainder of 21 divided by 4
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Graph the function -2x+5y=10
What is the probability that a randomly chosen rod will fit into a randomly chosen ring?
what is the length of line segment AY?
2 units
3 units
4 units
6 units
Answer:
Option C. 4 Units
Step-by-step explanation:
From the intersecting chords theorem we know that if two chords are intersecting each other in a circle then the products of the lengths of the line segments of each chord are equal.
Therefore AY.YC =YB.YD
Here AY = x, BY = 3, YC = 6, YD = 8
So x.6 = 3.8
6x = 24
x = 24/6 = 4 Units
Option C 4 units is the correct option.
3 (4g + 6) = 2 (6g + 9)
Which shows the first step in the solution to the equation log2x + log2(x – 6) = 4?
Answer:
The first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]
Step-by-step explanation:
Given the equation: [tex]\log_2 x + \log_2 (x-6) = 4[/tex]
Using logarithmic laws;
[tex]loa_b x + \log_b y = \log_b (xy)[/tex]
then;
[tex]\log_2 x(x-6) = 4[/tex]
Therefore, the first steps in the solution to the equation [tex]\log_2 x + \log_2 (x-6) = 4[/tex] is, [tex]\log_2 x(x-6) = 4[/tex]
Answer: log2(x(x-6))=4.
Step-by-step explanation:
60÷5(7-5)=24 is that correct ? Thanks
Absolutely, it is correct.
[tex]\boxed{ \ 60 \div 5 (7 - 5) = 24 \ }[/tex]
Further explanationIn the 1500s the specific rules of the order of operation were promptly issued. The order of these workings states which processes take precedence (as a key priority) before which other operations.
Operation priorities are as follows.
Brackets (simplify in it)ExponentMultiplication or Division (from left to right)Addition or Subtraction (from left to right)Let's implement the rule.
[tex]\boxed{ \ 60 \div 5 (7 - 5) = \ ? \ }[/tex]
Subtract 7 by 5 in parentheses.
[tex]\boxed{ \ 60 \div 5 (2) = \ ? \ }[/tex]
Properly apply rule number 3 from the priority operation above. Initially, we have to divide 60 by 5.
[tex]\boxed{ \ 12(2) = \ ? \ }[/tex]
Continuing with multiplication 12 by 2 proves the exact result.
[tex]\boxed{ \ 12 \times 2 = 24 \ }[/tex]
Thus, this equation is correct.
[tex]\boxed{ \ 60 \div 5 (7 - 5) = 24 \ }[/tex]
Note:
What is the result if we don't follow operation priorities? Let's see.
At this crucial point.
[tex]\boxed{ \ 60 \div 5 (2) = \ ? \ }[/tex]
We decide to multiply 5 by 2, even though there are no parentheses from them, only parentheses for 2.
[tex]\boxed{ \ 60 \div 5 \times 2 = \ ? \ }[/tex]
[tex]\boxed{ \ 60 \div 10 = 6 \ }[/tex]
[tex]\boxed{ \ 60 \div 5 (7 - 5) = 6 \ }[/tex]
That's what happens if we don't follow operating priorities.
Unless the problem like this:
[tex]\boxed{ \ 60 \div (5 (7 - 5)) = 6 \ }[/tex]
[tex]\boxed{ \ 60 \div (5 (2)) = 6 \ }[/tex]
[tex]\boxed{ \ 60 \div 10 = 6 \ }[/tex]
Thus, the difference must be considered. Consequently, follow the priority of the operation and look at the problem in detail.
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solve the following formula for x
y=2mx+9b
To solve the equation y = 2mx + 9b for x, subtract 9b from both sides, and then divide by 2m. The result is x = (y - 9b) / (2m). This manipulation is emblematic of solving linear equations which are foundational in algebra.
The student is asking to solve the linear equation y = 2mx + 9b for the variable x. This type of problem involves algebraic manipulation to isolate the variable of interest. Here are the steps to solve for x:
Subtract 9b from both sides of the equation: y - 9b = 2mx.Divide both sides by 2m to solve for x: x = (y - 9b) / (2m).In this case, y is the dependent variable, m is the slope of the line, and b would be the y-intercept if this equation were graphed on a coordinate plane. To better understand this concept, let's take the specific equation y = 9 + 3x as an example which is a linear equation with b set to 9 and m set to 3.
To visualize this equation, one can construct a table of values by selecting various x values and calculating the corresponding y values. Then, these points are plotted on a graph to show the linear relationship. This process is depicted in Table A1 and Figure A1, with the equation illustrated in a graph.
The general form of a linear equation is y = mx + b, where m represents the slope and b the y-intercept. In these exercises, understanding and manipulating this form helps us find relationships between variables and understand how changes in one variable affect another.
Convert 10 centimeter to inches
solve
P=a+b-8
what is a=
if a flagpole 12 feet tall casts a shadow that is 16 feet long, find the length of the shadow cast by an antenna which is 30 ft tall. round to the nearest tenth if necessary
For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.
The slope of the given line is 14 and y intercept is 17.
What is the equation of a line ?The equation of a line is y = mx + b.Where m is slope and b is y intercept.
According to the given question a straight line defined by the points (3, 59) and (5, 87).
We know slope (m) = (y₂ -y₁)/(x₂ - x₁)
∴ m = (87 - 59)/(5 - 3)
m = 28/2
m = 14.
Now the equation of the line will be of the form y = 14x + b.
Now we will put any of the values of the given pair of points.
∴ 59 = 14(3) + b
b = 59 - 42
b = 17.
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pls help i need this done NOW!!!
#14 and #15 a. and b.
pls show work!!
Answer:
Step-by-step explanation:
To me, it seems like 14 is just telling u something.....and 15. a)30% b)75%
hope this helps :)
Tim walked 16 laps in 40 minutes while jim walked 30 laps in an hour who was the fastest?
Suppose that alexi spent all 20 hours of his time on street tacos and tony spent 17 hours on cuban sandwiches and 3 hours on street tacos. combined they would produce a total of ______________ tacos and ______________ cuban sandwiches.
Answer: 1,900 street tacos and 510 Cuban sandwiches.
Explanation:
Alexi=20*80=1,600
Tony = 17*30=510 3x00 = 300 street tacos
1,600 + 300 = 1,900 street tacos and 510 Cuban sandwiches.
5.14 grater than 5.041
Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container
divide the total gallons by the number of containers
40.8 / 8 = 5.1 gallons each
you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.
The height of the tallest model is 81 cm and the model is [tex]y ( x ) = 3^x[/tex].
Given data:
Let x be the height of the tallest model.
According to the information given, the height of each model is three times the height of the previous model.
So, represent the heights of the models as and exponential model where [tex]y ( x ) = 3^x[/tex].
1st model: 3 centimeters (3 cm)
2nd model: 3 times the height of the 1st model = 3 * 3 cm = 9 centimeters (9 cm)
3rd model: 3 times the height of the 2nd model = 3 * 9 cm = 27 centimeters (27 cm)
4th model: 3 times the height of the 3rd model = 3 * 27 cm = 81 centimeters (81 cm)
So, the height of the tallest model can be represented as:
x = 81 centimeters
Hence, the height of the tallest model is 81 centimeters.
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The rectangles in the figure below are similar. Find the value of x
Answer:
C. 6
Step-by-step explanation:
It is given that the rectangles in the figure are similar.
Thus, the corresponding sides of the two rectangles will be equal.
So, we get,
[tex]\frac{3}{x}=\frac{5}{x+4}[/tex]
i.e. [tex]3(x+4)=5x[/tex]
i.e. [tex]3x+12=5x[/tex]
i.e. [tex]2x=12[/tex]
i.e. x = 6.
Hence, the value of x is 6.
The skeleton of acetonitrile is shown here. complete the structure
Use addition to solve the linear system of equations. 2x+y=5 3x+2y=4
Complex numbers are often used when dealing with alternating current (AC) circuits. In the equation V = IZ, V is voltage, I is current, and Z is a value known as impedance. If V = 1+i and Z=2-i, find I. Please do this quickly!!
Final answer:
The current I in the AC circuit equation V = IZ is found by complex division and is equal to 1/5 + 3/5i when V = 1+i and Z=2-i.
Explanation:
To find the current I in the equation V = IZ where V = 1+i and Z=2-i, we need to solve for I using complex division. This process involves conjugating the denominator and then performing standard multiplication of complex numbers.
Step-by-step solution:
Write down the given values in the equation: V = 1+i, Z = 2-i.Use the formula I = V / Z.Conjugate the denominator Z, which gives 2+i.Multiply the numerator and denominator by the conjugate of the denominator:So, I = (1+i) * (2+i) / ((2-i) * (2+i)).Simplify both numerator and denominator: numerator becomes 2 + 3i + i^2, and the denominator becomes 4 - i^2.Substitute i^2 with -1 and simplify: numerator becomes 2+3i-1, and the denominator becomes 4+1.The final result is I = (1+3i) / 5.Divide both the real and imaginary parts by 5: I = 1/5 + 3/5i.Therefore, the current I is 1/5 + 3/5i.
At the end of a party, 3/4 cup of dip is left. Jim divides 4/5 of the leftover dip equally between 2 friends. How much dip does each friend get?
To answer the question, first, multiply the total leftover dip by the portion that Jim divided. Then, divide this result by the number of friends. Therefore, each friend gets 3/10 of a cup of dip.
Explanation:The subject of this question clearly falls under the category of Mathematics, more specifically, the concept of fractions. The problem here is to find out how much dip each friend gets if 4/5 of the 3/4 cup of leftover dip is divided equally between two friends.
To solve this, we need to perform multiplication of fractions, and then division by the number of friends. Step 1: Multiply 3/4 (leftover dip) by 4/5 (portion that Jim divided). Doing this, we get (3/4) * (4/5) = 12/20, which simplifies to 3/5 cup. This is the amount of dip Jim divided.
Step 2: Divide this result by 2 (number of friends). So, (3/5) / 2 = 3/10. Hence, each friend gets 3/10 of a cup of dip.
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