Euler's formula immediately gives
\(8e^{i\cdot16\pi}=8\cos(16\pi)+8i\sin(16\pi)=8\)
and the equation above lists, from left to right, the polar, trigonometric, and rectangular forms.
In A container, there are red, blue and green balls. 3/11 of ball s are red There are 35 more blue balls than red balls. The remaining 90 balls are green. How many more blue balls than green balls are there? of the balls are red.
《show your work》
A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.
Round to the nearest hundredth.
The answer is 0.06
Step-by-step explanation:
Finding Volume
25 x 12 = 300
300 x 10 = 3,000
Into Cubic yards
3,000 / 46,656 = 0.06430041152
Nearest hundredth
0.06
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
help me please :)))))))))))
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation:
2. How many radians are in 27"?
The answer is 0.471 radians.
FORMULA:
Just do 27° × π/180 = 0.4712rad but then cut off the two.
Imagine math Item 994395
Start with the equation 0.2=0 to explain why -4-2 must equal -8.
Drag descriptions and equations to the table to complete the explanation.
In order to explain why -4 - 2 equals -8, let's start with the equation 0.2 = 0. By analyzing this equation, we can uncover the reason behind this seemingly counterintuitive result.
1. Begin with the equation 0.2 = 0.
2. Subtract 0.2 from both sides of the equation to isolate the variable: 0.2 - 0.2 = 0 - 0.2.
This simplifies to 0 = -0.2.
3. Observe that the right side of the equation, -0.2, is a negative number.
4. Recall that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, -0.2 is the same as +0.2.
5. Rewrite the equation as 0 = +0.2.
6. Notice that 0 on the left side of the equation is equal to 0 + 0, since any number added to zero remains unchanged.
7. Substitute 0 + 0 for 0 in the equation: 0 + 0 = +0.2.
8. Simplify the equation to 0 = +0.2.
9. Finally, recognize that a positive number cannot equal zero. Hence, the equation 0 = +0.2 is false.
10. As a result, the original equation 0.2 = 0 is invalid.
11. Therefore, the logical consequence is that any subsequent deductions based on this invalid equation would also be incorrect.
12. Consequently, -4 - 2 does not equal -8, as per the explanation derived from the flawed equation.
To summarize, by analyzing the equation 0.2 = 0, we can determine that subsequent deductions based on this equation are incorrect. Hence, -4 - 2 does not equal -8.
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PLEASE HELP!!! (1/5) - 50 POINTS-
Answer:
consistent independent
Step-by-step explanation:
This is a graph of consistent independent equations
The lines cross and there is one solution
Inconsistent equations never cross and there is no solutions
Consistent dependent equations are equations of the same line
Answer:
Linear
Step-by-step explanation:
This is a graph of linear system of equation.
The two lines represent different equations connected with each other.
They intersect at a common point showing the solution to the system of equation.
30 POINTS. Given ABC with coordinates A(-6,1), B(4,1), and C(4,-3). the ordered pair (9,y) is on the line ac. Enter the value of y for this ordered pair.
Answer:
The value of y is -5, so the ordered pair is (9, -5).
Step-by-step explanation:
To determine the value of y for the ordered pair (9, y) on the line AC, we first need to find the equation of the line AC.
To find the slope of the line AC, substitute the points A and C into the slope formula:
\(\textsf{Slope}\;(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y_C-y_A}{x_C-x_A}=\dfrac{-3-1}{4-(-6)}=\dfrac{-4}{10}=-\dfrac{2}{5}\)
To determine the equation of line AC, substitute the found slope and one of the points into the point-slope formula:
\(\begin{aligned}y-y_1&=m(x-x_1)\\\\y-1&=-\dfrac{2}{5}(x-(-6)\\\\y-1&=-\dfrac{2}{5}x-\dfrac{12}{5}\\\\y&=-\dfrac{2}{5}x-\dfrac{7}{5} \end{aligned}\)
Now we have found the equation of the line AC, to determine the value of y for the ordered pair (9, y), substitute x = 9 into the equation:
\(\begin{aligned}y&=-\dfrac{2}{5}(9)-\dfrac{7}{5}\\\\&=-\dfrac{18}{5}-\dfrac{7}{5}\\\\&=\dfrac{-18-7}{5}\\\\&=\dfrac{-25}{5}\\\\&=-5\end{aligned}\)
Therefore, the value of y for the ordered pair is y = -5.
So the ordered pair is (9, -5).
1/8 + 5/8?
7/10 - 3/10
4/12 + 5/12
15/20 - 6/20
15/20 - 6/20
put explation pleaseee
Answer:
6/8
4/10
9/12
9/20
9/20
Step-by-step explanation:
Please awnser asap I will brainlist
Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.
How many tickets of each kind has been sold?Let's solve the problem step by step.
Let:
x = number of $10 tickets sold
y = number of $20 tickets sold
z = number of $30 tickets sold
From the given information, we can form the following equations:
Equation 1: x + y + z = 3318 (Total number of tickets sold)
Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)
Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)
We can use these three equations to solve for the values of x, y, and z.
First, let's substitute Equation 2 into Equation 1:
x + (x + 109) + z = 3318
2x + 109 + z = 3318
2x + z = 3209 (Equation 4)
Now, let's substitute the value of y from Equation 2 into Equation 3:
10x + 20(x + 109) + 30z = 61760
10x + 20x + 2180 + 30z = 61760
30x + 30z = 59580
x + z = 1986 (Equation 5)
We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.
Multiplying Equation 4 by 30, and Equation 5 by 2, we get:
60x + 30z = 96270 (Equation 6)
2x + 2z = 3972 (Equation 7)
Now, subtract Equation 7 from Equation 6:
(60x + 30z) - (2x + 2z) = 96270 - 3972
58x + 28z = 92298
Simplifying, we have:
29x + 14z = 46149 (Equation 8)
Now, we can solve Equations 5 and 8 simultaneously:
x + z = 1986 (Equation 5)
29x + 14z = 46149 (Equation 8)
Multiplying Equation 5 by 14, and Equation 8 by 1, we get:
14x + 14z = 27804 (Equation 9)
29x + 14z = 46149 (Equation 8)
Now, subtract Equation 9 from Equation 8:
(29x + 14z) - (14x + 14z) = 46149 - 27804
15x = 18345
Divide both sides of the equation by 15:
x = 18345 / 15
x = 1223
Substituting the value of x into Equation 5, we can find z:
1223 + z = 1986
z = 1986 - 1223
z = 763
Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:
1223 + y + 763 = 3318
y + 1986 = 3318
y = 3318 - 1986
y = 1332
Therefore, the solution to the problem is:
x = 1223 (number of $10 tickets sold)
y = 1332 (number of $20 tickets sold)
z = 763 (number of $30 tickets sold)
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Please help me out‼️‼️‼️‼️〽️
We can see that the dot plot is seen below.
What is a dot plot?We can see here that An example of a graphical representation of data is a dot plot. It is a number line with dots above each value to indicate the frequency or count of that value.
Depending on the type of data being shown, the dots are often arranged either horizontally or vertically.
Dot plots are known to be useful for showing the distribution of data, particularly for small data sets.
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66 + 2bc – 46; b= 10, c=5
Answer:
120
Step-by-step explanation:
66 + (2* 10*5)- 46
66+20×5−46
66+100−46
166−46
= 120
Brainlist Pls!
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
66 + 2bc - 46= 66 + (2 × 10 × 5) - 46
= 66 + 100 - 46
= 166 - 46
= 120
Hope it helps you,
Mark me brainliest plz....
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Which symbol can be used to indicate the pressure at which a chemical reaction is carried out?
The symbol that can be used to indicate the pressure at which a chemical reaction is carried out is the letter "P".
What is the pressure?In a chemical reaction, the pressure corresponds to the force that a gas is able to reach on the wall of a container, influencing the system as a whole, such as its balance.
In chemical experiments, pressure can be measured and controlled under various conditions, through certain academic approaches and with the use of devices such as regulators and manometers.
Therefore, the letter P is the symbol that represents the pressure in a chemical reaction, written in an equation next to the products, in various measures such as atm and kPa.
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Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
What is the volume of this figure?
Answer: 186 cubic in
Step-by-step explanation:
When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. Out of the 262 days that Aria commutes to work per year, how many times would her commute be between 32 and 35 minutes, to the nearest whole number ?
Answer:
To find the number of times that Aria's commute is between 32 and 35 minutes, we need to find the probability that her commute time is between 32 and 35 minutes and then multiply that probability by the total number of commutes per year.
To find the probability that Aria's commute time is between 32 and 35 minutes, we need to find the area under the normal curve between those two values.
We can use the following formula to convert the values 32 and 35 to standard units:
z = (x - mean) / standard deviation
Plugging in the values, we get:
z1 = (32 - 28) / 4.5 = 0.89
z2 = (35 - 28) / 4.5 = 1.56
To find the area under the curve between these two values, we can use a standard normal table or a calculator to find the area between these two values. The result is approximately 0.22.
Multiplying this probability by the total number of commutes per year gives us the number of times that Aria's commute is between 32 and 35 minutes.
So the number of times that Aria's commute is between 32 and 35 minutes is approximately 262 * 0.22 = 57.24, which is about 57 times to the nearest whole number.
Step-by-step explanation:
Cara salary was increased from £28 250 to £29 832 work out the percentage increase in car salary
What’s the difference between solving a whole number and a fraction?
There’s these two methods I saw but not sure when I should use them when I do stumble on a problem.
1 method: start by multiply the numerator towards the whole number and once u do then divide the numerator and denominator separately.
2 method: start by giving the whole number a 1 of the denominator and find the lCD of the fraction and start finishing the problem from either adding or subtracting.
Both the methods can be used to solve a mixed fraction including a whole number and a fraction or solving the difference of a whole number and a fraction.
What is Mixed Fraction?Mixed fractions are type of fractions which involve a whole number and a fraction. This is of the form a \(\frac{b}{c}\). This is actually a + \(\frac{b}{c}\).
You can use either methods when solving a whole number and a fraction.
Let us take a whole number 3 and a fraction \(\frac{2}{10}\) for instance.
First Method :
Solve it by cross multiplication.
Let the denominator of the whole number 3 be 1.
\(\frac{3}{1}\) ± \(\frac{2}{10}\) = [(3 × 10) ± (2 × 1)] / (1 × 10) = [30 ± 2] / 10
If the question is for adding, we get, \(\frac{3}{1}\) + \(\frac{2}{10}\) = (30 + 2) / 10 = 32/10
If the question is finding difference, we get, \(\frac{3}{1}\) - \(\frac{2}{10}\) = (30 - 2) / 10 = 28/10
Second Method :
Again let the denominator of the whole number be 1.
Find the LCD (Least Common Denominator) of 1 and 10.
This is 10.
So we have to make the denominator of \(\frac{3}{1}\) to 10.
Multiply both numerator and denominator with 10, we get 30/10.
A normal multiplication of fractions, if the denominator is same add or subtract the numerators let the denominator be as such.
Now add or subtract \(\frac{30}{10}\) ± \(\frac{2}{10}\) = (30 ± 2) / 10.
Hence both the methods can be used.
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Question 4
12.5 pts
Georgia receives a snow globe for her birthday. The globe has a diameter of 4 inches.
Which of the following is the closest to the volume of the snowglobe?
0 18.84
O 10.7
O 16.7
0 33.5
Answer:
choice 4) 33.5 in³
Step-by-step explanation:
r = 4/2
V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²
A hot air balloon descended 3240 feet in an hour. Find the change in altitude per minute?
Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.
Solving the QuestionWe're given:
\(\dfrac{3240\hspace{4}feet}{hour}\)
We also know that:
\(\dfrac{hour}{60\hspace{4}minutes}\)
Multiply the two to cancel out the hour:
\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)
Simplify:
\(=\dfrac{54\hspace{4}feet}{minute}\)
Answer\(\dfrac{54\hspace{4}feet}{minute}\)
URGENT PLEASE HELP !!!
Answer:
36
Step-by-step explanation:
AB=AC+BE
AB=10+26
AB=36
f(x)=-4x²-6x-1and g(x)=-x²-5x+3 find (f+g)(x)
\((f + g)(x) = - 4 {x}^{2} - 6x - 1 - {x}^{2} - 5x + 3 \\ \)
\((f + g)(x) = - 5 {x}^{2} - 11x + 2 \\ \)
And we're done.
Thanks for watching buddy good luck.
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Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34
Answer:
the last one
Step-by-step explanation:
37*159+34=5917
Answer:
159 r 9
Step-by-step explanation:
Evaluate the expression when c=-4 and x=3.
C- 3x
Answer:
-13
Step-by-step explanation:
-4-3(3)
-4-9 = -13
fill in the blanks.30x8=3x_____x840x7=_____x10x7
Answer:
30x8=3x_10_x8
40x7=_4_x10x7
First one: 10
Second one: 4
A 12 oz box of sugar costs $3.10 and a 36 oz box of sugar costs $7.90. Which box of sugar is the better buy?
Answer: 36 oz box
Step-by-step explanation:
3.1/12=0.258333
7.9/360.291444
Thus, the 36 oz box is the better buy
dividing 1/9 is equal to multiplying by
Answer: 9
Step-by-step explanation: To divide we need to flip the second fraction we are dividing by. For example:
10/1 divided by 1/4 = 10/1 times 4/1. So in this case, the answer is 40.
Now lets try it with 1/9.
X divided by 1/9 = X times 9/1.
So dividing by 1/9 is equal to multiplying by 9.
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
Need Help With This
Answer:
bbbb
Step-by-step explanation:
how do yall do the square root sign my phone doesnt even have it
Answer:
you multiply the same number by each other and check if it matches squareroot number
Step-by-step explanation:
In 2 + In 8 - In 4
In 4
In 6
In 74
Answer:
in8− in4+ in2
Step-by-step explanation:
thats the aswer