Answers
Answer:
the answer is 5
Step-by-step explanation:
i hope its right if its not im so sorry plz dont rost me in the comments
Related Questions
Which expressions are equivalent to the given complex number? 45 + 2i
(2 + 8i) + (30 – 6i)
(13 + 4i) + (32 – 61)
(9 + 4i) + (36 - 2i)
(2+ 8i) + 2(9 + 6i)(1- i)
(13 + 4i) + 2(7 + 2i)(2-i)
(9 + 4i) + 2(4 + 7)(1 - 2i)
Answers
The expressions which are equivalent to the complex number 45 + 2i are (9 + 4i) + (36 - 2i) and (9 + 4i) + 2(4 + 7i)(1 - 2i).
1) (2 + 8i) + (30 – 6i) which gives 32 + 2i.
Hence not equivalent.
2) (13 + 4i) + (32 – 61) which is equal to the 45 - 2i.
So, not equivalent.
3) (9 + 4i) + (36 - 2i) which gives 45 + 2i.
Therefore, the expression (9 + 4i) + (36 - 2i) is equivalent to the 45 + 2i.
4) (2+ 8i) + 2(9 + 6i)(1- i) which on solving gives 32 + 2i.
Hence this expression is not equivalent.
5) (13 + 4i) + 2(7 + 2i)(2-i) which gives 45 - 2i.
Hence not equivalent.
6) (9 + 4i) + 2(4 + 7i)(1 - 2i) which gives 45 + 2i.
Hence this expression is equivalent.
Expressions (9 + 4i) + (36 - 2i) and (9 + 4i) + 2(4 + 7i)(1 - 2i) are equivalent to 45 + 2i.
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A battery with a voltage of 3 V provides a voltage of 0.56 C to some circuits. Calculate the electrical power provided by this battery
Answers
Answer:
The power is 1.68 W.
Step-by-step explanation:
Voltage, V = 3 V
charge, q = 0.56 C
time, t = 1 s
Let the power is P.
P = V q /t
P = 3 x 0.56 / 1 = 1.68 W
Diapers cost $5 / package. How many packages did Jessica buy if she spent $30?
Answers
Answer:
6 packages
Step-by-step explanation:
30/5 is 6
Answer:
the answer is 6
Step-by-step explanation:
30 divided by 5
In 2015 there were 759 laptops at lightning high school starting a 2016 the school box 75 more laptops at the end of each year the function t(x) equals 75X +759 can be used to determine the total number of laptops at the school X years after 2015 what is the projected total number of laptops at lightning high school at the end of 2020
Answers
Answer:
Step-by-step explanation:
Given the following :
Number of laptops in 2015 = 759
t(x) = 75x + 759 ; model to determine number of laptops at the school. X years after 2015.
Number of laptops in the school in 2020:
SOMEONE HELP ME PLEASE!!!!
Answers
Answer:
2 < X < 77 is the right answer.
solution,
5x - 10 < 25
5x < 25 + 10
5x < 35
X < 35/5
X < 7
Hope this helps...
Good luck on your assignment..
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Answers
Answer: 5x + 2y = -2
Step-by-step explanation:
Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6
A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.
Substitute (-2, 4) in and get 4=5+b, so b = -1.
Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.
Hope that helped,
-sirswagger21
show work
please! this is due tmr
Answers
Answer:
-120
Step-by-step explanation:
subtract 45 to both sides
m/8 = -15
multiply by 8 on both sides.
with the fraction just multiply by the bottom number to make m by itself.
m = -15*8
m= -120
Answer:
-120
Step-by-step explanation:
30-45= -15
-15×8= -120
Test Practice
3. Open Response Lorraine and Chila were riding their bikes to school. Lorraine's
distance away from the school is shown in the graph. Chila's distance away from the
school is shown in the table. Compare the functions' initial values and rates of change.
Then determine Lorraine's and Chila's distance from school after 7 minutes. (Example 2)
Lorraine's Distance
Distance (mi)
2.4
2.0
1.6
(1.2.2)
(4.1.6)
X
0 1 2 3 4 5 6 7
Time (min)
Chila's Distance
Time (min), x
1
2
3
Distance (mi), y
1.5
1.3
1.1
Answers
Considering the linear functions in the context of this problem, the initial values are as follows:
Lorraine: 2.2 miles.Chila: 1.7 miles.The rates are as follows:
Lorraine: -0.2 miles per minute.Chila: -0.2 miles.After 7 minutes, the distances are as follows:
Lorraine: 0.8 miles.Chila: 0.3 miles.Linear functionThe slope-intercept representation of a linear function is presented as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change of y relative to x.b is the y-intercept, representing the initial value of the function.Lorraine's graph goes through two points:
(1, 2.2) and (4, 1.6).
The distance decays by 0.6 miles in 3 minutes, hence the rate is given as follows:
m = -0.6/3 = -0.2 miles per minute.
Hence:
y = -0.2x + b.
When x = 1, y = 2, hence the initial value is calculated as follows:
2 = -0.2 + b
b = 2.2.
Then the function is:
y = -0.2x + 2.2.
After 7 minutes, the distance is of:
y = -0.2(7) + 2.2 = -1.4 + 2.2 = 0.8 miles.
From Chila's table, each minute, the distance decays by 0.2 miles, hence the rate is given as follows:
m = -0.2 miles per minute.
Hence:
y = -0.2x + b.
When x = 1, y = 1.5, hence the initial value is calculated as follows:
1.5 = -0.2 + b
b = 1.7.
Then the function is:
y = -0.2x + 1.7.
After 7 minutes, the distance is of:
y = -0.2(7) + 1.7 = -1.4 + 1.7 = 0.3 miles.
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d) If the circumference of the circular base of a cone is 44 cm and its height is 30 find its volume.
Answers
Answer:
CSA =220sq.cm
Step-by-step explanation:
At a town meeting, the ratio of dark-haired people to blond-haired people to red-haired people is 42 : 37 : 3. If there are 1,312 people at the meeting, how many have each color hair?
Answers
Answer:
672 had dark hair, 592 had blond hair, and 48 had red hair
Step-by-step explanation:
To solve this problem, we need to first find the total number of people for each hair color based on the given ratio.
Let's start by finding the common factor that we can use to scale the ratio up to the total number of people, which is 1,312:
42 + 37 + 3 = 82
We can then divide 1,312 by 82 to get the scaling factor:
1,312 ÷ 82 = 16
This means that for every 16 people, there are 42 with dark hair, 37 with blond hair, and 3 with red hair.
To find the actual number of people with each hair color in the town meeting, we can multiply the scaling factor by the number of people for each hair color in the ratio:
Dark-haired people: 42 × 16 = 672
Blond-haired people: 37 × 16 = 592
Red-haired people: 3 × 16 = 48
Therefore, there are 672 people with dark hair, 592 people with blond hair, and 48 people with red hair at the town meeting.
please use the answer in the attached picture to write down the co-ordinate of the turning point of x^2-5x+4
Answers
Solution
By general rule w ehave this property:
\((x-a)^2=x^2-2ax+a^2\)Using this expression we can do the following:
\((x-\frac{5}{2})^2-\frac{9}{4}=(x\cdot x^{}-2\cdot x\cdot\frac{5}{2}+\frac{5}{2}\cdot\frac{5}{2})-\frac{9}{4}=x^2-5x+\frac{25}{4}-\frac{9}{4}=x^2-5x+\frac{16}{4}=x^2-5x+4=(x-1)(x-4)\)Then the final simplfied form is:
(x-1)(x-4)
Then we can find the turning point like this:
\(x=-\frac{b}{2a}=-\frac{-5}{2\cdot1}=\frac{5}{2}\)And the corresponding y coordinate is:
\((\frac{5}{2}-\frac{5}{2})^2-\frac{9}{4}=-\frac{9}{4}\)Final answer:
\((\frac{5}{2},-\frac{9}{4})\)Decide which of the following numbers does not belong in the group.
108
502
603
360
And why does it not belong?
Answers
Answer:
603 because it’s odd
360 because it doesn’t have a 0 in the tens place
502 because the sum of the digits doesn’t equal 9
there were 48 runners to start a race. in the first half of the race, 2/3 of them dropped out. in the second half of the race, 1/8 of the remaining runners dropped out. how many runners finished the race?
Answers
To find the number of runners who finished the race, we need to follow these steps:
1. Start with the total number of runners at the beginning, which is 48.
2. In the first half of the race, 2/3 of the runners dropped out. To calculate this, multiply 48 by 2/3.
48 * 2/3 = 32
So, 32 runners dropped out in the first half of the race.
3. Next, we need to find the number of remaining runners after the first half of the race. Subtract the number of runners who dropped out from the total number of runners.
48 - 32 = 16
After the first half of the race, 16 runners are still in the race.
4. In the second half of the race, 1/8 of the remaining runners dropped out. To calculate this, multiply 16 by 1/8.
16 * 1/8 = 2
So, 2 runners dropped out in the second half of the race.
5. Finally, to find the number of runners who finished the race, subtract the number of runners who dropped out in the second half from the number of remaining runners after the first half.
16 - 2 = 14
Therefore, 14 runners finished the race.
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what is the median of 10,12,24,18,14,26,22
Answers
Answer:
18
Step-by-step explanation:
18
The scale on a model of a frog is 2 cm = 25 mm. Find the actual length
of a frog if the model length is 11 cm.
Answers
Answer:
137.5
Step-by-step explanation:
2=25
4=50
6=75
8=100
10=125
11=125+12.5 = 137.5
in a bag there are 10 balls numbered 1 to 10 A ball is picked at random find the probability of picking the following
(a) number 7
(b) an odd number
(c) an even number
(d) an prime number
Answers
Answer:
a) 1/10
b) 1/2
c) 1/2
d) 2/5
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Total event/Total sample space
Since there are ten ball in the bag numbered 1 to 10
S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
n(S) = 10
Total sample space = 10
a) If we are to get the probability of picking the number 7.
(E) = {7}
n(E) = 1
Event = 1
Pr(picking 7) = 1/10
b) a) If we are to get the probability of picking an odd number
(E) = {1, 3, 5, 7 , 9}
n(E) = 5
Event = 5
Pr(an odd number) = 5/10 = 1/2
c) a) If we are to get the probability of picking an even number
(E) = {2, 4, 6, 8,10}
n(E) = 5
Event = 5
Pr(an even number) = 5/10 = 1/2
d) a) If we are to get the probability of picking prime
(E) = {2, 3, 5, 7}
n(E) = 4
Event = 4
Pr(prime) = 4/10 = 2/5
Jason has 48 muffins, which he needs to box up into dozens. How many boxes does he need?
Answers
Answer:
4 boxes bc they're 12 in a dozen
Answer: 4 boxes
Step-by-step explanation: A dozen = 12
48 / 12 = 4
What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x − 3y = 17
Answers
Answer:
x=4
Step-by-step explanation:
multiply first eq. by 3 and second by 4 to get rid of y
15x+12y=24
8x-12y=68
add the equations
23x = 92
divide both sides by 23
x=92/23=4
Answer:
x = 4
Step-by-step explanation:
Given the 2 equations
5x + 4y = 8 → (1)
2x - 3y = 17 → (2)
Multiplying (1) by 3 and (2) by 4 then adding will eliminate the y- term
15x + 12y = 24 → (3)
8x - 12y = 68 → (4)
Add (3) and (4) term by term to eliminate y, that is
23x = 92 ( divide both sides by 23 )
x = 4
There are 3 types of gummy bears:
Mini-bear, Regular bear, and Super Bear
10 mini-bears weights to 12.1 grams
10 regular bears weights to 23.1 grams
1 super bear weights to 2250 grams
Question: How many more mini-bears than regular-bears does it take to have the same weight as one super-bear?
If you can please respond in one clear, succinct paragraph. Be sure to clearly state your final answer and include all of your mathematical reasoning that led you to your final answer. Make sure you write in complete sentences with proper writing conventions (i.e. grammar, punctuation, spelling).
Answers
885 mini bears
974 regular bears equals the size of a super bear while 1859 mini bears eqauls the size of a super bear therefore,there are 885 mini bears more than regular bears to make the size of a super bear.
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describe the graph of the solution
Answers
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
Joel borrowed $18,000 for 6 years at simple interest to purchase a vehicle. If Joel repaid a total of $20,953.80, at what rate did he borrow the money?
Enter the percent with the percent symbol. If the percent is not a whole value, enter it as a decimal where the last digit is not zero and there is a zero before the decimal point for values less than 1. For example, if the answer is .35%, 0.35% should be entered. Round the percent to the nearest thousandth of a percent if needed.
Answers
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$20953.80\\ P=\textit{original amount deposited}\dotfill & \$18000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &6 \end{cases} \\\\\\ 20953.80=18000[1+(\frac{r}{100})(6)]\implies \cfrac{20953.80}{18000}=1+\cfrac{6r}{100}\)
\(\cfrac{20953.80}{18000}=\cfrac{100+6r}{100}\implies \cfrac{2095380}{18000}=100+6r\implies \cfrac{11641}{100}=100+6r \\\\\\ \cfrac{11641}{100}-100=6r\implies \cfrac{1641}{100}=6r\implies \cfrac{1641}{600}=r \\\\\\ \cfrac{547}{200}=r\implies \stackrel{\%}{2.735} = r\)
What is the solution to 2x + 2(x – 5)=6,explainhow you solved the equation.
Answers
We have the following:
\(2x+2\left(x-5\right)=6\)solving for x:
\(\begin{gathered} 2x+2x-2\cdot5=6 \\ 4x-10=6 \\ 4x=10+6 \\ x=\frac{16}{4} \\ x=4 \end{gathered}\)therefore, the answer is 4
PLEASE HELP NOW --- >N is a 2-digit even number. If the last two digits of N^2 is the same as N, what is the sum of digits of N?
Answers
Answer:
76.
Step-by-step explanation:
It is given that N is a 2-digit number.
Last two digits of N^2 is the same as N.
We know that, a number is even if it ends with 0,2,4,6,8.
\(2^2=4,4^2=16,6^2=36,8^2=64\)
If 0 is in end then we get two zeros in the square of that number.
It is clear that, number should ends with 6 to get the same number at the end.
\(16^2=256\)
\(26^2=676\)
\(36^2=1296\)
\(46^2=2116\)
\(56^2=3136\)
\(66^2=4356\)
\(76^2=5776\)
\(86^2=7396\)
\(96^2=9216\)
It is clear that last two digits of (76)^2 is the same as 76.
Therefore, the required number is 76.
10. Set up and evaluate the definite integral for the area of the surface generated by revolving the curve a) (3 pts.)y= 6x 3+ 2x1 ,1≤x≤2, about the x-axis; b) (3 pts.) x= 4y−1,1≤y≤4, about the y-axis.
Answers
The definite integral for the area of the surface generated by revolving the curve y = 6x^3 + 2x about the x-axis, over the interval 1 ≤ x ≤ 2, can be set up and evaluated as follows:
∫[1 to 2] 2πy √(1 + (dy/dx)^2) dx
To calculate dy/dx, we differentiate the given equation:
dy/dx = 18x^2 + 2
Substituting this back into the integral, we have:
∫[1 to 2] 2π(6x^3 + 2x) √(1 + (18x^2 + 2)^2) dx
Evaluating this definite integral will provide the surface area generated by revolving the curve about the x-axis.
b) The definite integral for the area of the surface generated by revolving the curve x = 4y - 1 about the y-axis, over the interval 1 ≤ y ≤ 4, can be set up and evaluated as follows:
∫[1 to 4] 2πx √(1 + (dx/dy)^2) dy
To calculate dx/dy, we differentiate the given equation:
dx/dy = 4
Substituting this back into the integral, we have:
∫[1 to 4] 2π(4y - 1) √(1 + 4^2) dy
Evaluating this definite integral will provide the surface area generated by revolving the curve about the y-axis.
By setting up and evaluating the definite integrals for the given curves, we can find the surface areas generated by revolving them about the respective axes. The integration process involves finding the appropriate differentials and applying the fundamental principles of calculus.
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4. Tim has a wheelbarrow full of sand. He can fill a 12 litre bucket with the sand 15 times. (a) How many times could he fill a bucket with a capacity of 18 litres, with the sand from the wheelbarrow?
Answers
Tim could fill the 18-litre bucket in 22.5 times.
How many times could Tim fill an the bucket?To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.
The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.
The proportion will be:
12 litres / 15 times = 18 litres / x times
12x = 15 * 18
12x = 270
x = 270 / 12
x = 22.5.
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consider an experiment to investigate the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants. what is the best reason for randomly assigning treatments (spraying or not spraying) to the farms?
Answers
Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.
Random assignment of treatments is the best way to ensure that the results of the experiment are valid and not biased. Random assignment of treatments would ensure that the results are not affected by factors such as soil type, climate, and other environmental conditions. This is because random assignment of treatments would ensure that the farms that receive the insecticide treatment are not systematically different from those that do not receive the treatment. This is important in order to gain accurate results from the experiment.
Random assignment of treatments is accomplished using the following formula:
Treatment Assignment = (Number of Farms) x (Random Number between 0 and 1)
By randomly assigning treatments to the farms, we can be sure that the results are not skewed by external factors. This will allow us to better determine the effectiveness of different insecticides in controlling pests and their impact on the productivity of tomato plants.
Randomly assigning treatments to the farms is the best way to ensure that the results of the experiment are valid, unbiased, and accurate.
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Please Help! I have no idea what this is! Also, do NOT put the answer in a link, as I cannot access it. Just give me the plain answer.
Answers
Answer:
\(1.962*10^{8}\)
Step-by-step explanation:
When given the area and one side length, we can find the other side length by dividing.
So, \(\frac{5.612*10^{14}}{9.2*10^{7}}\)= \(6.1*10^{6}\)
The perimeter would be \(6.1*10^{6}\)+\(6.1*10^{6}\)+\({9.2*10^{7}}\)+\({9.2*10^{7}}\) = \(1.962*10^{8}\)
Hope this is correct and helps!
PLEASE HELP DUE SOON
Answers
Answer:
the answer is y = -10/3x - 23
Step-by-step explanation:
Hope this helps. :)
If the answer is correct, can you mark me as Brainliest.
Find the length of a fence that surrounds a square garden if the length of one side of the garden is given. Are the length of the fence and the length of one side directly proportional quantities? Explain.
Answers
Answer:
Yes,
Step-by-step explanation:
because they are equal.
√4x^2/3y
Please show work if you can
Answers
Answer:
√16x/3y
Step-by-step explanation:
√4x^2 = √16x /3y = can't be simplified further