A third point charge put in the center of a square formed by four point charges of equal size will feel more force than if placed at one of the square's vacant corners.
What is square?A square is a closed two-dimensional form having four equal sides and four vertices. Its opposing sides are perpendicular to one other. A square can alternatively be thought of as a rectangle with equal length and width. Many items mimic the square form as you look around. A square is a regular quadrilateral with all four sides equal in length and all four angles equal. The square's angles are right angles or equal to 90 degrees. In addition, the square's diagonals are equal and intersect at 90 degrees.
Here,
The point charge at the center of the square will be equidistant from all four charges and will feel the vector sum of their forces, resulting in a greater net force. The point charge, on the other hand, will only be subjected to the pressures of two of the charges at one of the corners, resulting in a lesser net force.
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A city planner is laying out four streets that will form the boundary of a park, as shown. She wants to be sure the park formed by the streets is a parallelogram. Which of the following conditions guarantees this?
the four options guarantees the conditions.
ii)x=14 and y=21 are the values in the parallelogram ABCD.
What is Quadrilateral?A quadrilateral is a four-sided polygon, having four edges and four corners.
Given that A city planner is laying out four streets that will form the boundary of a park.
She wants to be sure the park formed by the streets is a parallelogram.
The two streets are parallel to each other.
Angle 1 is corresponding angle to 56 degrees angle
m∠1=56 degrees.
Now angle 2 is 180-56=124 degrees.
m∠2=124 degrees
m∠1=m∠3
m∠3=56 degrees.
2. ABCD is a parallelogram
AB is parallel to CD
x+2=2x-12
14=x
Now BC=AD
3x=2y
42=2y
Divide both sides by 2
21=y
Hence, the four options guarantees the conditions.
ii)x=14 and y=21 are the values in the parallelogram ABCD.
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a set of observations on a variable measured at successive points in time or over successive periods of time constitute a
The set of observations on a variable measured at successive points in time or over successive periods of (c) time series .
A Time Series is a set of observations on a variable that is measured at successive points in time or over successive periods.
Which means that the values of the variable that are recorded at regular intervals or successive points, such as daily, weekly, monthly, or annually, and are analyzed to identify the patterns, trends, and relationships over time.
The Time series analysis can be used in various fields, including economics, finance, engineering, and the natural sciences, to make predictions, identify cause-and-effect relationships, and inform decision-making.
The given question is incomplete , the complete question is
A set of observations on a variable measured at successive points in time or over successive periods of
(a) geometric series
(b) time invariant set
(c) time series
(d) logarithmic series
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a gecko is in a room that is 12 feet long, 10 feet wide and 8 feet tall. the gecko is currently on a side wall ($10^{\prime}$ by $8^{\prime}$), one foot from the ceiling and one foot from the back wall ($12^{\prime}$ by $8^{\prime}$). the gecko spots a fly on the opposite side wall, one foot from the floor and one foot from the front wall. what is the length of the shortest path the gecko can take to reach the fly assuming that it does not jump and can only walk across the ceiling and the walls? express your answer in simplest radical form.
The length of the shortest path the gecko can take to reach the fly is √170 feet.
The shortest path the gecko can take to reach the fly is a straight line from its starting position to the position of the fly. To find the length of this path, we can use the Pythagorean theorem.
Let's call the distance the gecko must travel along the ceiling x and the distance it must travel along the wall y. Then, using the Pythagorean theorem, we have:
x² + y² = d²
Where d is the distance between the two points.
We can find x and y by using the information given in the problem. The gecko starts one foot from the ceiling, so x = (8 - 1) = 7. It starts one foot from the back wall, so y = (12 - 1) = 11. The fly is one foot from the floor, so x = (8 - 1) = 7. It is one foot from the front wall, so y = (10 - 1) = 9.
Substituting these values into the equation, we have:
7² + 11² = d²
49 + 121 = d²
170 = d²
d = √170
Therefore, the length of the shortest path the gecko can take to reach the fly is √170 feet.
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can some one help me
The equations obtained from evaluation of the data in the table and the predicted cost of hiring the DJs are as follows;
Part B
The equation representing the cost of hiring Celinda is; c = 36·h + 16
The equation representing the cost of hiring Brian is; c = 38·h + 4
Part C
The cost of hiring Celinda for 5 hours is $196
Cost of hiring Brian for 5 hours is $194
What is a linear equation?A linear equation is an equation that has an highest index of 1.
Part B
The first difference in the cost of hiring each DJ is presented as follows;
Celinda; 160 - 124 = 124 - 88 = 88 - 52 = 36
Brian; 156 - 118 = 118 - 80 = 80 - 42 = 38
The first difference are constant, therefore, the relationship are linear, which can be represented by linear equations.
The difference between the subsequent values in the number of hours of 1 indicates that we get;
Slope of the equation for Celinda = 36
The equation representing the total cost for Celinda is therefore;
Where c represents the cost and h represents the number of hours, we get;
c - 52 = 36·(h - 1)
c = 36·h - 36 + 52
The equation for the cost of hiring the DJ Celoinda is; c = 36·h + 16The equation for Brian, with a slope of 38, is therefore;
c - 42 = 38·(h - 1)
c = 38·h - 38 + 42 = 38·h + 4
The equation for the cost of hiring the DJ Brian is; c = 38·h + 4Part C
The cost of hiring each DJ for 5 hours is therefore;
h = 5
The cost of hiring Celinda for 5 hours is; c = 36 × 5 + 16 = 196
The cost of hiring Celinda for 5 hours is $196
The cost of hiring Brian for 5 hours can be obtained by plugging in h = 5 in the equation; c = 38·h + 4
Therefore; c = 38 × 5 + 4 = 194
The cost of hiring Brian for 5 hours is $194
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Please help! True or false.
3x + 6 is equivalent to 3x + 2
Answer:
false
Step-by-step explanation:
HELP pls will mark you the brainliest. Please show your work too.
y = 1/2 x + 1
y = 3/2x + 4 Use first equation to sub in for y
1/2 x + 1 = 3/2 x + 4
-3 = x then use this value in one of the equations to calc y
y = 1/2 x + 1
y = 1/2 (-3) + 1 = - 1/2
Solve the system of equations using elimination. −3x + 2y = 9 x + y = 12
Answer:
x = 4/7 and y = 48/7
Step-by-step explanation:
We need to solve the system of equations using elimination method
-3x + 2y = 12....... equation 1
9x + y = 12...........equation 2
Multiply the 2nd equation with 2
18x + 2y = 24 ............equation 3
Now, subtracting equation 3 from equation 1
- 3x - 18x + 2y - 2y = 12 - 24
-21x = 12
x = 12/21 = 4/7
-3(4/7) + 2y = 12
-12/7 + 2y = 12
2y = 12 + 12/7
2y = 96/7
y = 48/7
Therefore, the system of equations using elimination. −3x + 2y = 9 x + y = 12 is x = 4/7 and y = 48/7
An oil spill spreads 25 square meters every $\frac{1}{6}$
hour. What is the area of the oil spill after 2 hours?
The area of the oil spill after 2 hours is 300 square meters
How to determine the area of the oil spill after 2 hours?A rate of change describes the rate at which one quantity changes in relation to another quantity.
Since the oil spill spreads 25 square meters every 1/6 hour. We can write:
rate = 25/(1/6) = 150 square meters per hour
In 2 hours:
area = 2 * 150
area = 300 square meters
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Consider two circular swimming pools. Pool A has a radius of 44 feet, and Pool B has a diameter of 27.02
meters. Complete the description for which pool has a greater circumference. Round to the nearest
hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A is(blank)
circumference
is (select) by
meters. So, the diameter of Pool (select) is greater, and the
meters.
The diameter of Pool A is 26.84 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.
Which circle has a greater circumference?The diameter is a straight line that passes through the center of a circle and touches two points on the circumference of the circle. The radius is half the length of the diameter.
The first step is to convert the radius of pool A to meters from feet:
44 x 0.305 = 13.42 meters
Diameter of Pool A = 2 x radius
2 x 13.42 = 26.84 meters
Circumference of a circle = πD
Where:
π = 3.14
D = diameter
Circumference of Pool A = 3.14 x 26.84 meters = 84.28 meters
Circumference of Pool B = 3.14 x 27.02 = 84.84 meters
Difference = 84.84 - 84.28 = 0.56 meters
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2 hours before sunset the temperature is 0 F At 2 hours after sunset , the temperature is -4 F Identify the equation representing the temperature y , in degrees Fahrenheit , at x hours after sunset
The equation representing the temperature y in degrees Fahrenheit at x hours after sunset is:
y = -2x + 4
Step by step analysisSince the temperature changes linearly with time after sunset, we can represent the temperature as a linear equation:
y = mx + b
where y is the temperature in degrees Fahrenheit, x is the number of hours after sunset, m is the rate of change of temperature and b is the y-intercept.
Given that at 2 hours before sunset, the temperature is 0°F and at 2 hours after sunset, the temperature is -4°F, we can use these points to find m and b.
At x = -2: y = 0°F
At x = 2: y = -4°F
So, m = (y2 - y1) / (x2 - x1) = (-4°F - 0°F) / (2 - (-2)) = -2°F/hour
And, b = y - mx = 0°F - (-2°F/hour * -2) = 4°F
Therefore, the equation representing the temperature y in degrees Fahrenheit at x hours after sunset is:
y = -2x + 4
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The Barksalot Pet Clinic did a study of 75 dogs brought in for treatment. it found that 40 dogs had fleas, 27 had ticks, and 14 had both how many dogs had ticks but not fleas.
Answer:
there were 13 dogs with ticks but not fleas.
Step-by-step explanation:
Let's call the number of dogs with fleas "x" and the number of dogs with ticks "y".
From the information given, we know:
x = 40 (dogs with fleas)
x + y = 75 (total number of dogs)
y = 27 (dogs with ticks)
So, the number of dogs with ticks but not fleas is equal to y - the number of dogs with both:
y - 14 = 27 - 14 = 13
Therefore, there were 13 dogs with ticks but not fleas.
what do you call identical sisters when both are ice-skating champions
Answer:
You can call them champion ice-skating sisters or identical champion ice-skaters.
Find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.) Center at the origin, passing through P(5, −8)
The equation of the circle that meets the specified requirements is x^2 + y^2 = 89, with the center at the origin and going through P(5, 8).
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The equation of a circle with center at the origin (0,0) and passing through the point (x1,y1) can be found using the distance formula.
The distance between a point (x1, y1) and the origin (0,0) is given by:
sqrt((x1-0)^2 + (y1-0)^2) = sqrt(x1^2 + y1^2)
Let's call the radius of the circle r. We know that the distance between the point (x1,y1) and the origin is equal to r. So, we can set up the equation:
sqrt(x1^2 + y1^2) = r
Substituting the values x1 = 5 and y1 = -8, we have:
sqrt(5^2 + (-8)^2) = r
Solving for r, we get:
r = sqrt(5^2 + (-8)^2) = sqrt(25 + 64) = sqrt(89)
Finally, we can write the equation of the circle in standard form using the center (0,0) and radius r:
(x - 0)^2 + (y - 0)^2 = r^2
x^2 + y^2 = r^2
x^2 + y^2 = 89
The equation of the circle that satisfies the stated conditions that is center at the origin, passing through P(5, −8) is x^2 + y^2 = 89.
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Solve
3x2=12−9x
Optons
A. x = -4 and 1
B. x = -1 and 1
C. No solutions
D. x = 4
Geometry, I’m unsure. Please help it’s due tomorrow
Recall that in Problem 3 of the reading questions for Section 2.1, you found that if f(x) = In(x), then ƒ'(2) = 1/2. Use this to find a formula for the tangent line to f(x) = = In(x) at x = 2.
Answer: y - ln2 = (1/2)(x - 2) or y = (1/2)x + ln2 - 1
Step-by-step explanation:
f(x) = lnx
f'(x) = 1/x
f(2) = ln 2 , so we have the slope = 1/2, and a point (2, ln2)
equation of tangent:
y - ln2 = (1/2)(x - 2)
y = (1/2)x + ln2 - 1
tiana wants to purchase a keyboard at howards music store she has a coupon that states $150 off for each 500 spent what is the price of the keyboard with this coupon (before tax)
To determine the price of the keyboard with the coupon, we need to know how much Tiana spent. Let's call the original price of the keyboard "x".
According to the coupon, Tiana will receive a discount of $150 for every $500 spent. So, if she spends x dollars, she will receive a discount of (x/500) * $150.
The price of the keyboard with the coupon will then be x - (x/500) * $150.
Since the original price is not specified, we cannot determine the exact price of the keyboard with the coupon.
The equation, a = p(1 0.037t), represents the amount of money earned on a savings account with 3.7% annual simple interest. if the amount after 5 years is equal to $1,422, what is the amount of the principal investment?
According to the solving the amount of the principal investment is, $1200.
option A is correct
What exactly is simple interest?Simple interest is calculated without taking the impact of compounding into consideration. In many circumstances, interests compounds with each specified time of a loan, whereas simple interest does not. Simple interest is calculated as the principal sum multiplied by that of the cost of borrowing, multiplied by the number of periods.
According to the given data:Simple Interest(I)
= P × R × T/100
A = P(1 + RT)
Given that,
A = $1422
R = 3.7%
T = 5 year
P = ?
After 5 year total amount
1422 = P (1 + 0.037 × 5)
P = 1422/( 1 + 0.037 × 5)
= 1422/1.185
P = 1200
Hence, the principal amount is $1200
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According to the solving the amount of the principal investment is, $1200.
option A is correct
What exactly is simple interest?Simple interest is calculated without taking the impact of compounding into consideration. In many circumstances, interests compounds with each specified time of a loan, whereas simple interest does not. Simple interest is calculated as the principal sum multiplied by that of the cost of borrowing, multiplied by the number of periods.
According to the given data:
Simple Interest(I)
= P × R × T/100
A = P(1 + RT)
Given that,
A = $1422
R = 3.7%
T = 5 year
P = ?
After 5 year total amount
1422 = P (1 + 0.037 × 5)
P = 1422/( 1 + 0.037 × 5)
= 1422/1.185
P = 1200
Hence, the principal amount is $1200
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the sum of nine times x and ten is less than 20
Answer:
9x + 10 < 20
I tutor just trust its right
Five litres of paint cost R210 . Work out the cost of fifteen litres of paint.
Cost of 15 liters of paint is, 630 Rs.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Five liters of paint cost = 210 Rs.
Hence, We get;
Cost of 1 liters of paint = 210/5
= 42 Rs.
So, Cost of 15 liters of paint is,
⇒ 15 × 42
⇒ 630 Rs.
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1. Which table does NOT show y as a function of x?
x
X
y
1
10
9
14
100
8
11
15
Ha
80
}
9
16
110
4
14
17
100
HINT
7
18
90
H
x
X
-0.2 0.6
5.8
-3.7
-24
2.7
21
2.8
<-1.3
4.4
24
2.7
1.0 -0.2
-0.9
8.1
-27
2.5
29
2.5
Step-by-step explanation:
you'll have to make the chart simpiler
Three softball players discussed their batting averages after a game.
Probability
Player 1 seven elevenths
Player 2 six ninths
Player 3 five sevenths
Compare the probabilities and interpret the likelihood. Which statement is true?
Player 1 is more likely to hit the ball than Player 2 because P(Player 1) > P(Player 2)
Player 2 is more likely to hit the ball than Player 3 because P(Player 2) > P(Player 3)
Player 1 is more likely to hit the ball than Player 3 because P(Player 1) > P(Player 3)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2)
Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2). Option D
What is probability?Probability is a mathematical concept that describes the likelihood of an event happening in a given set of circumstances. It is expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. The closer the probability is to 1, the higher the likelihood of the event happening.
If we arrange the fractions in decreasing order we would have;
5/7 > 6/9 > 6/11
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how many learners how many learners can a school enrol if there are 12 teachers and the ratio of learners to teachers is 30:1
Answer: 360 learners
Step-by-step explanation:
There are 30 learners per every 1 teacher. So for 12 teachers, there are 30 x 12 learners, which is equivalent to 360 learners.
help pls
appreciate!
Answer:
Step-by-step explanation:
2+2=4
your friend, a male soccer player weighing 86 kg, is trying to determine how many carbohydrates should be consumed 2 hours before his soccer game. based on his weight, how many grams of carbohydrate would you recommend for your friend 2 hours before the soccer game?
In linear equation, The carbohydrate intake ranges between 129-286g
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
A diet with adequate proteins and carbohydrates can be given to an athlete (2-3 hours) before a sport.
Generally, 2-3g/kg body weight of Carbohydrates can be included in the diet (depending on the weight and height.
Here, the person weighs 86kgs (assuming the majority of the bodyweight is muscle mass)
Therefore, average carbohydrate intake can be – 85* 2 = 170g; or, 85*3 = 255g
Thus, the carbohydrate intake ranges between 129-286g
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You purchase a new lcd monitor for $1,351. you put a 8% down payment and $59.56 per month on a 24 month purchase plan. what is the amount of the down payment? a. $108.08 b. $112.81 c. $110.01 d. $114.32
The amount of the down payment is: $ 108.08
Step-by-step explanation:
It is given that:
You purchase a new LCD monitor for $1,351.
You put a 8% down payment and $59.56 per month on a 24 month purchase plan.
This means that the down payment made is 8% of the total amount of the LCD monitor.
i.e.
The amount of the down payment= 8% of 1,351
i.e.
The amount of the down payment= 0.08 of 1,351
i.e.
The amount of the down payment=0.08×1,351
i.e.
The amount of the down payment= $ 108.08
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which of the following random variables is geometric? the number of 5s when rolling a die 35 times the number of spades dealt from a shuffled deck of 52 cards in a seven-card hand the number of heads when a coin is tossed 10 times the number of digits in a randomly selected row until a 9 is found the number of 8s in a row of 20 random digits
A geometric random variable is the number of 5s when rolling a die 35 times. (option 1)
This is due to the fact that rolling a 5 on any given roll has a probability of 1/6, and the number of 5s can be determined by counting the number of successes (rolling a 5) prior to the first failure (not rolling a 5).
If you roll a number other than 5, the expected number of unsuccessful iterations is 1/2pq, where p is the probability of success (1/6) and q is the probability of failure (5/6). Additionally, this can be expressed as (1-p)/p. Therefore, when rolling a die 35 times, the expected number of 5s is 35, or (1-1/6)/(1/6).
We can use the formula for the expected value of a geometric random variable, E[X] = (1-p)/p, where p is the probability of success, to demonstrate this mathematically. p is 1/6 in this case.
E[X] = (1-1/6)/(1/6) = 35 can be obtained by substituting this number into the formula. This indicates that 35 is the anticipated number of 5s after rolling a die 35 times.
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Complete Question:
which of the following random variables is geometric?
the number of 5s when rolling a die 35 times the number of spades dealt from a shuffled deck of 52 cards in a seven-card hand the number of heads when a coin is tossed 10 times the number of digits in a randomly selected row until a 9 is found the number of 8s in a row of 20 random digitssuppose it is unknown what proportion of employees at it's-a-living (ial) are happy with their job. if we randomly sample 300 and 159 are happy, using the normal approximation to the binomial to compute a 95% confidence interval based on this sample for the proportion who are happy gives what result?
It is unknown what proportion of employees at it's-a-living are happy with their job. if we randomly sample 300 and 159 are happy, based on this sample for the proportion who are happy gives mean result.
An unknown statistical parameter's expected range of values is shown by a confidence interval, a statistical measure. The confidence interval is an estimate of the range of potential population mean values if the parameter is the population mean.
By using approximation to the binomial,
σ=√npq
= √300*.095*159
=212.8
When using observed (sample) data, a confidence interval is computed at a set degree of confidence (chosen prior to the computation of the confidence interval). This confidence level, like a 95% confidence level, represents the accuracy of the estimating process; it does not represent the degree to which it is confident that the computed confidence interval accurately represents the parameter under investigation.
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as part of a class project, a student conducts a survey of 50 students at her school asking whether the students owned a smartphone. thirty-eight of the 50 students (76%) reported owning a smartphone. a 95% confidence interval for the proportion of all students at her school that own a smart phone will
The average hours per day spent watching TV among all students at the school. It only mentions a survey conducted on smartphone ownership among 50 students at the school .
To determine the average hours per day spent watching TV among all students, a separate survey or study would need to be conducted.he sample size of 50 is relatively small, so the confidence interval may be wider than if a larger sample was used. The confidence level of 95% means that if 100 independent samples were drawn from the population, 95 of the intervals would contain the true population proportion of smartphone ownership.
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What is question #1 and #2? will give brainliest and you can use the top question to help figure it out
one as I think
#1
opposite of an area
give me certificate 100% thanks