Answer:
x=-18/7
Step-by-step explanation:
the weird shapey thing is just the unknown
let's make life easy and just use x
substitute it in and then distribute the fractions
the simplify and solve
please help i am confused.
two point charges are placed on the x-axis as follows: charge q1 = 3.99 nc is located at x= 0.205 m , and charge q2 = 5.01 nc is at x= -0.302 m .
Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.
The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.
In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.
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What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
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a spinner is divided into eight equally sized regions. three of the regions are labeled 6, three of the regions are labeled 2, one region is labeled 1, and the last region is labeled 3. the spinner is spun 1000 times. (a) how many times is the spinner expected to land on 6? (b) how many times is the spinner expected to land on a prime number?
A) the spinner is expected to land on 6 approximately 375 times.
B) The spinner is expected to land on a Prime number 875 times.
The spinner is divided into eight equally sized regions, with three regions labeled 6, three regions labeled 2, one region labeled 1, and one region labeled 3, we can calculate the probabilities for each outcome:
(a) Probability of landing on 6:
There are three regions labeled 6 out of eight total regions, so the probability of landing on 6 in a single spin is 3/8.
Expected number of times landing on 6 = (3/8) * 1000 = 375
Therefore, the spinner is expected to land on 6 approximately 375 times.
(b) Probability of landing on a prime number:
The prime numbers on the spinner are 2, 3, and 6. There are three regions labeled 2, one region labeled 3, and three regions labeled 6. So, the total number of regions with prime numbers is 3 + 1 + 3 = 7 out of eight total regions.
Probability of landing on a prime number = 7/8
Expected number of times landing on a prime number = (7/8) * 1000 = 875
Therefore, the spinner is expected to land on a prime number approximately 875 times.
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Plz solve this. with expalnations 20 points
Step-by-step explanation:
length of half circumference EFG=15
BC=8
the perimeter=57
the are=35square
Which expression is negative?
a
b
+
+
-1
0
1
Choose 1 answer:
А
a +1
B
a -(-6)
None of the above
Answer:
I don’t understand
Step-by-step explanation:
i don’t understand
An animal reserve has 20,000 elk. The
population is increasing at a rate of 8% per
year. There is a concern that the food will be
scarce when the population doubles. How
long will it take for the population to reach
40,000. Show and explain your work.
Answer:
9 years
Step-by-step explanation:
by using the formula :
20,000(1 + 0.08) ^n = 40,000
=> (1.08)^n = 40,000/20, 000
(1.08) ^n = 2
n = 9
\(\\ \rm\Rrightarrow P(1+r)^n=I\)
P is principalR is rate if interestI is final amount\(\\ \rm\Rrightarrow 20000(1+0.08)^n=40000\)
\(\\ \rm\Rrightarrow (1.08)^n=2\)
\(\\ \rm\Rrightarrow log(1.08)^n=log2\)
\(\\ \rm\Rrightarrow nlog1.08=log2\)
\(\\ \rm\Rrightarrow n(0.033)=0.3\)
\(\\ \rm\Rrightarrow n=3(3)=9\)
Solve the write an equation of the line that passes through a pair of points a. y=x+3 b. y=x-3 c. y=-x+2 d. y=-x-2
The equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.
What is equation?An equation is a mathematical statement that shows that two expressions are equal. It typically consists of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division, and can be represented using symbols and/or words. Equations are used to solve problems in mathematics, science, engineering, and other fields.
In the given question,
We can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope of the line passing through the points (0,-2) and (2,0):
slope = (change in y)/(change in x)
slope = (0 - (-2))/(2 - 0)
slope = 2/2
slope = 1
Now that we have the slope, we can use one of the given equations and substitute the coordinates of one of the points to find the y-intercept:
y = mx + b
-2 = 1(0) + b
b = -2
So the equation of the line passing through the points (0,-2) and (2,0) is y = x - 2.
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how many are there write answer and how you solved
Answer:
5.2 hours
Step-by-step explanation:
To find the solution, you need to multiply Aretha's time by 1.6, since Neal takes 1.6 as long to run the marathon.
3.25 × 1.6 = 5.2
In other words, Neal takes 5.2 hours to run the marathon. Let me know if I can help you with anything else, 'kay?
Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount?
Answer:
7,500 copies
Step-by-step explanation:
First, write the problems as equations. There will be one variable: copies (c):
Company A: .05c + 300
Company B: .01c + 600
In order to find when the companies charge the same amount, Company A = Company B. Using the transitive property you get:
Company A = Company B
.05c + 300 = .01c + 600
Now, you just need to solve for c:
.05c + 300 = .01c + 600
.05c = .01c + 300
.04c = 300
c = 7,500
In conclusion, the companies will charge the same amount of money when 7,500 copies are made in a month.
A unicycle wheel has a diameter of 30 inches and a radius of 15 inches. How many inches will the unicycle travel in 6 revolutions?
The unicycle wheelof diameter 30 inches travels 282.6 inches in 6 revolution.
What is an inch?An inch can be defined as a unit of length in the customary system of measurement.
To calculate the amount of inches the unicycle will travel in 6 revolution, we use the formula below.
Formula:
R = 6πd.................... Equation 1Where:
The amount of inches the unicycle covered in 6 revolutiond = Diameter of the unicycleπ = PieFrom the question,
Given:
d = 15 inchesπ = 3.14Substitute these values into equation 1
R = 6×15×3.14R = 282.6 inchesHence, the unicycle wheel travels 282.6 inches.
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How many terms of the series do we need to add in order to find the sum to the indicated accuracy?
∑n=1[infinity](−1)n−1n49
Term: n =
We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.
How is this so?The series ∑n=1[infinity](−1)n−1n49 is an alternating series, which means that the terms alternate in sign and decrease in size.
This type of series converges,and the error in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.
In this case, we are given that the desired accuracy is 0.00005.
The (n+1)th term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.
Using a calculator, we can find that n = 4 satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.
The first 4 terms of the series are -
1/1⁴⁹ = 1
-1/2⁴⁹ = -1/1610612736
1/3⁹ = -1/29859862048
-1/4⁴⁹ = 1/209227898880
The sum of these 4 terms is 0.12345, which is accurate to within 0.00005
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Select the correct graph.
Which graph is the graph of function
f(x) =4^x
Answer:
the question on top is right
Step-by-step explanation:
What can give you the height 623 ft
Answer:
not enough of information
Step-by-step explanation:
Solve pls quickly I will mark brainlest only if correct
The complete table is
x y Ordered pair
0 1 (0, 1)
1 4 (1, 4)
2 7 (2, 7)
3 10 (3, 10)
-1 -2 (-1, -2)
Ordered pairs on a lineFrom the question, we are to complete the given table for the given values of x
The given function is
y = 3x +1
We will determine the values of y for the given values of x
When x is 2y = 3x + 1
y = 3(2) + 1
y = 6 + 1
y = 7
∴ The ordered pair is (2, 7)
When x is 3y = 3x + 1
y = 3(3) + 1
y = 9 + 1
y = 10
∴ The ordered pair is (3, 10)
When x is -1y = 3x + 1
y = 3(-1) + 1
y = -3 + 1
y = -2
∴ The ordered pair is (-1, -2)
Hence, the complete table is
x y Ordered pair
0 1 (0, 1)
1 4 (1, 4)
2 7 (2, 7)
3 10 (3, 10)
-1 -2 (-1, -2)
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When your measurement error is between 4.5 and 5%, the number of cases are [____]. Select the correct answer below.
400
450
500
When your measurement error is between 4.5% and 5%, the number of cases is 450.
The margin of error (MOE) is a measure of the uncertainty or statistical error in a survey's findings. When it comes to determining the survey's accuracy, the MOE is the most important consideration. When determining the sample size required to generate the lowest MOE possible, the survey creator's decision comes into play.
Let us assume that a 95 percent confidence level is used in a survey of a population. The MOE will be larger if a more rigorous confidence level is employed.
Margin of Error = (Critical Value) x (Standard Deviation) / square root of (Sample Size)
If the population size is less than 100,000, the MOE equation is usually used.
The most commonly used equation is n = (Z2 * P * Q) / E2 if the population size is greater than 100,000.
Hence, when the measurement error is between 4.5 and 5%, the number of cases is 450.
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Roseanne makes 1 1/2 L of lemonade. She pours 1/4 of liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Rosanne'a brother drinks?
The lemonade does Rosanne'a brother drinks is \(1\div 2\) liter
The calculation is as follows:The remaining should be
\(= (1\ 1\div 2) -(1\div 4) \\\\= 1\ 2\div 4 -1\div 4 \\\\= 1\ 1\div 4 \ liters\)
Since The brother drinks 2/5 of that,
So,
\(= (2\div 5)(1\ 1\div 4 L) \\\\= (2\div 5)(5\div 4 L) \\\\= 2\div 4 L \\\\= 1\div 2 L\)
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when 7 is added to 3 times a certain number, the result is 22"
Answer:
The answer would be 5!
Step-by-step explanation:
22-7= 15
15/3 = 5
You can plug the 5 back in to check your work like so:
5 x 3 = 15
15 + 7 = 22
Lou runs 4 miles each day for 5 days a week. If he does this for 7 weeks, how
many miles will he have run altogether?
Answer:
140 miles
Step-by-step explanation:
4 per day for 5 days a week
= 4x5=20 miles a week
For 7 weeks= 20x7= 140 miles
Answer:
140
Step-by-step explanation:he runs 4 miles 5 days a week and there is 7 weeks so 5x7=35 days 35x4 miles is 140 miles :)
What is the solution to the system of equations? -1/2x+1/2y=-1 x-y=2
y=14
have a good day
Tell whether the triangle with the given side lengths is a right triangle.
65, 72,97
The answer is yes or no
Answer:
yes
Step-by-step explanation:
when I add 65+72 and the answer gave me and I find the square root of that number
The drop box options:
<
>
Please I need help:(
Answer:
c+2<1
on the number line, c is like -1.1 and 2-1.1 is .9 and .9>1
I am smoothbrain
What is the Domain of the relation below:
{(0, 1), (-2,5), (3, 2), (-1, 5), (3,-2)}
Write your answer from smallest to largest with a comma.
D = {........
Answer:
(-2, -1, 0, 3,3)
Step-by-step explanation:
The domain simply refers to the possible x-values the function can take
so by listing out all the x-values of the individual points, we have all the domains
That will be ;
(-2, -1, 0, 3,3)
Please Help!!!!!!!
1. Jocelyn has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 ft above the ground. For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°. Will the ladder be safe at this height? Show all your work and draw a diagram to support your answer.
Answer:
Yes, the ladder will be safe. 64° 9´ < 75°
Step-by-step explanation:
\( \sin(x) = \frac{13.5}{15} \\ \: \: \: \: \: \: \: \: \: \: \: = 0.9 \\ \: \: \: \: \: \: \: \: \: \: \: \: x=64 \: \: \: \: 9\)
The height of the ladder will be safe because the angle is less than 75°.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Jocelyn has a ladder that is 15 feet long.
She wants to lean the ladder against a vertical wall so that the top of the ladder is 13.5 feet above the ground.
The length of hypotenuse is 15 feet and length of perpendicular is 13.5 feet.
For safety reasons, she wants the angle the ladder makes with the ground to be less than 75°.
Then the angle θ will be given as,
sin θ = 13.5 / 15
sin θ = 0.90
θ = sin⁻¹ (0.90)
θ = 64.16°
The height of the ladder will be safe because the angle is less than 75°.
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What type of association and correlation are shown by the scatterplot? On a graph, points are grouped closely together and increase. linear association, positive correlation linear association, negative correlation nonlinear association, strong correlation nonlinear association, weak correlation
Answer:
Linear association and positive correlation, or a.
Step-by-step explanation:
The dots appear to go up, giving the positive appearance, and the dots are in a linear shape, hence the linear association.
Answer:
A) Linear association, positive correlation
Step-by-step explanation:
I took the test lol >w<
Find the Next 3 Letters in J F M A M J J A
What are the next 3 letters in the sequence J F M A M J J A?
The next three letters in the sequence J F M A M J J A are S, O, N.
To find the next three letters in the sequence J F M A M J J A, we need to identify the pattern or rule that governs the sequence. In this case, the sequence follows the pattern of the first letter of each month in the year.
The sequence starts with 'J' for January, followed by 'F' for February, 'M' for March, 'A' for April, 'M' for May, 'J' for June, 'J' for July, and 'A' for August. The pattern repeats itself every 12 months.
Therefore, the next three letters in the sequence would be 'S' for September, 'O' for October, and 'N' for November.
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The next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.
The given sequence "J F M A M J J A" represents the first letters of the months in a year, starting from January (J) and ending with August (A). To find the next three letters in the sequence, we need to continue the pattern by considering the remaining months.
The next month after August is September, so the next letter in the sequence is "S". After September comes October, represented by the letter "O". Finally, the month following October is November, which can be represented by the letter "N".
Therefore, the next three letters in the sequence "J F M A M J J A" are "S O N", indicating the months of September, October, and November.
It is important to note that the given sequence follows the pattern of the months in the Gregorian calendar. However, different cultures and calendars may have different sequences or names for the months.
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Multiply.
2x^4 (3x³ − x² + 4x)
Answer: A
Step-by-step explanation:
When multiplying: Numbers multiply with numbers and for the x's, add the exponents
If there is no exponent, you can assume an imaginary 1 is the exponent
2x⁴ (3x³ − x² + 4x)
= 6x⁷ -2x⁶ + 8x⁵
Answer:
A. \(6x^{7} - 2x^{6} + 8x^{5}\)
Step-by-StepLabel the parts of the expression:
Outside the parentheses = \(2x^{4}\)
Inside parentheses = \(3x^{3} -x^{2} + 4x\)
You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses
\(2x^{4}\) × \(3x^{3}\)
\(2x^{4}\) × \(-x^{2}\)
\(2x^{4}\) × \(4x\)
First, multiply the whole numbers of each value before the variables
2 x 3 = 6
2 x -1 = -2
2 x 4 = 8
Now you have:
6\(x^{4}x^{3}\)
-2\(x^{4}x^{2}\)
8\(x^{4} x\)
When you multiply exponents together, you multiply the bases as normal and add the exponents together
\(6x^{4+3}\) = \(6x^{7}\)
\(-2x^{4+2}\) = \(-2x^{6}\)
\(8x^{4+1}\) = \(8x^{5}\)
Put the numbers given above into an expression:
\(6x^{7} -2x^{6} +8x^{5}\)
Key Wordsdistribution
variable
like exponents
Jamie opens an account with a $400 deposit that earns 7% simple interest annually.. She makes no other deposits or withdrawals. Complete the sentences.
The sentences on the deposit made by Jamie into an account with simple interest annually are:
The simple interest earned on the account yearly is $ 28.
The total amount in the account after 5 years would be $ 540.
How to find the simple interest ?The simple interest on the amount that Jamie deposited can be found by the formula :
= Amount deposited x Simple interest rate
= 400 x 7 %
= $ 28
In 5 years, the amount of interest would therefore be:
= Simple interest per year x Number of years
= 28 x 5
= $ 140
The total amount in the account after 5 years is therefore :
= Total simple interest + Amount deposited
= 140 + 400
= $ 540
In conclusion, the total amount of interest earned per year is $ 28, and in 5 years, the total amount in the account would be $ 540.
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The sentences were:
i. The simple interest earned on the account yearly is __________.
ii. The total amount in the account after 5 years would be ________.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table.
$15 $15
$22 $14
$12 $24
$16 $25
$15 $15
Match the measures with their values.
15
12
22
7
7
13
third quartile
first quartile
interquartile range
range
The measures and their values are matched as follows: 15 - appears five times in the table ;12 - appears once in the table ;22 - appears once in the table ;7 - the range, which is calculated by subtracting the smallest value from the largest value (25-12=13) ;13 - the interquartile range, which is calculated by subtracting the first quartile from the third quartile (Q3-Q1)
To match the measures with their values, we need to understand what each measure represents. The range is the difference between the largest and smallest value in a set of data. In this case, the largest value is 25 and the smallest value is 12, so the range is 25-12=13.
The interquartile range is the range of the middle 50% of a set of data. To find it, we need to calculate the first quartile (Q1) and the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.
To find Q1, we need to find the median of the lower half of the data. Since there are 10 data points, the median is the average of the 5th and 6th values when the data is ordered from smallest to largest. In this case, the values are: 12, 14, 15, 15, 15, 16, 22, 24, 25. So Q1=(15+15)/2=15.
To find Q3, we need to find the median of the upper half of the data. Again, since there are 10 data points, the median is the average of the 5th and 6th values when the data is ordered from largest to smallest. In this case, the values are: 25, 24, 22, 16, 15, 15, 15, 14, 12. So Q3=(15+16)/2=15.5.
Therefore, the interquartile range is Q3-Q1=15.5-15=0.5.
Now we can match the measures with their values:
- 15 appears five times in the table
- 12 appears once in the table
- 22 appears once in the table
- The range is 13
- The interquartile range is 0.5.
In summary, we can use the measures of central tendency (such as median) and measures of variability (such as range and interquartile range) to describe a set of data and make comparisons between different sets of data.
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Does this represent a function?
y^2 = 16 – 4x^2