Answer:
Line 1 is considered perpendicular
Line 2 is considered parallel
Line 3 is also parallel
Step-by-step explanation:
This should be right if this is the rest to your problem:
1. Line AB formed by A(-1,3) and B(1,5); Line CD formed by C(2,3) and D(-2,7)
2. Line AB formed by A(3,8) and B(-6,5); Line CD formed by C(-6,7) and D(-3,8)
3. Line AB formed by A(2,-7) and B(2,3); Line CD formed by C(-4,0) and D(-4,-5)
which multiplication table have 8 and 50
Answer:2
Step-by-step explanation:
2*4=8
2*25=50
you cannot remember your 5-digit bike-lock combination. what is the probability that you guess the combination correctly? (enter your probability as a fraction.)
The probability that you guess the combination correctly 0.00001.
We know that the probability of an event is (possible outcome/total outcome)
I will assume that repeats are allowed as in most combination locks so the number of possible codes
= 10⁵ = 100000
We also know that there is only one correct combination so the probability that you guess the combination correctly
= 1/10⁵ = 1/100000 = 0.00001
Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.
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A rectangular blacktop with a length of 5x and a width of 3x has been erected inside a rectangular !eld that has a length of 12x and a width of 7x.a. What is the area of the part of the !eld that is not blacktop?b. "ere is a circular fountain in the rectangular !eld that has a radius of 3x. What is the area of the part of the !eld that does not include the blacktop or the fountain? Factor your answer. Pls help
Answer:
Step-by-step explanation:
to find area of a rectangle we use (L)(W) so we do that here for both of these rectangles first find the area of the black top
5x(3x)
15x^2 is the area of the blacktop
The “!ield” area is next
12x(7x)
84x^2 is the area now we just subtract the two numbers by subtracting coefficients but keeping the rest the same
84x^2-15x^2
69x^2 is the area of the rectangle that is not black top
B- the foundtain we find with the area of circle formula r squared times pi
3x(3x)pi
9x^2pi
Now we just subtract this from the area of the rectangle
69x^2 -9x^2pi is the area
Hopes this helps please mark brainliest
i need help like immediately
1/4 (8x+4)=2x-4
Answer: the statement is false
Step-by-step explanation:
Part A
The graph shows the distance in miles, , a car travels in hours.
Explain why the graph does or does not represent a proportional relationship between the variables and .
Enter your explanation in the box provided.
Part B
Two cars leave from the same city at the same time and drive in the same direction. The table shows the distances traveled by each car.
• Determine whether the relationship between the number of hours traveled and the number of miles traveled is proportional for each car.
• Use the table to explain how you determined your answers.
• Describe how the graph of the distance traveled by each car would support your answers.
Enter your answers and your explanations in the box provided.
fi r e re r er e r er e re r e r er e re
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select three options.
y = –Two-fifthsx – 2
2x + 5y = −10
2x − 5y = −10
y + 4 = –Two-fifths(x – 5)
y – 4 = Five-halves(x + 5)
The equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2
The given equation of the line is
5x - 2y = -6
Ax + By = C1
Bx - Ay = C2
are perpendicular.
Then the perpendicular to the line 5x - 2y = -6 is 2x + 5y = C2
We have to find the value of C2
The line is passing through the point (5, -4)
Substitute the values in the equation and find the value of C2
2(5) + 5(-4) = C2
C2 = 10 -20
= -10
The equation will be 2x + 5y = -10
Rearrange the terms and make it slope intercept form
2x + 5y = -10
5y = -10 -2x
5y = -2x - 10
y = (-2/5)x - 2
Hence, equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4) is y = (-2/5)x + 2
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solve for the variable in 7/26=25/x
Answer:
x = 650/7
Step-by-step explanation:
7/26 = 25/x
7*x = 25*26
7x = 650
x = 650/7
Check:
7/26 = 25/(650/7)
7/26 = 25*7/650
7/26 = 175/65
7*650 = 26*175 = 4550
Find the surface area of this cuboid.
4 cm
2 cm
2 cm
Answer:
40 cm²
Step-by-step explanation:
Let,
length ( l ) = 4 cm
Height ( h ) = Width ( w ) = 2 cm
To find : Surface are of cuboid : -
Formula : -
Surface are of cuboid = 2 [ lh + hw + wl ]
Surface are of cuboid
= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]
= 2 [ 8 + 4 + 8 ]
= 2 [ 20 ]
= 2 x 20
= 40 cm²
an analog signal received at a detector (measured in micro volts) may be modeled as a gaussian random variable n (200, 256) at a fixed point in time. what is the probability that the signal will exceed 240 micro volts? what is the probability that the signal is larger than 240 micro volts, given that it is larger than 210 micro volts?
Given that the signal gets larger than 210 microvolts, there is a 2.335 % chance that it is also larger than 240 microvolts.
Define the term Gaussian random variable?We consider the Gaussian form whenever we need to describe complex valued random variables for whom the distribution is unknown. The Central Limit Theorem (CLT), which deals with the sum of several random variables, is substantially fundamental for this tendency.As, per the given question.
Gaussian random variable n (200, 256)
Part a: Probability that signal will exceed 240 micro volts.
P(x > 240) = 1 - P(x ≤ 240)
P(x > 240) = 1 - P(240 - 200)/16
P(x > 240) = 1 - P(2.5)
See p value for z = 2.5
P(x > 240) = 0.00621
Thus, Probability that signal will exceed 240 micro volts is 0.00621.
Part b: larger than 210 micro volts.
P(x ≥ 240) | x ≥ 210) = P(x ≥ 240) / P(x ≥ 210)
P(x ≥ 240) | x ≥ 210) = 1 - P(240 - 200)/16 / 1 - P(210 - 200)/16
P(x ≥ 240) | x ≥ 210) = 0.00621 / 0.26599
P(x ≥ 240) | x ≥ 210) = 0.02335
Thus, for the signal gets larger than 210 microvolts, there is a 0.02335 percent chance that it is also larger than 240 microvolts.
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Logan just became a personal trainer and is finalizing his pricing plans. One plan is to charge $18 for the initial consultation and then $88 per session. Another plan is to charge $39 for the consultation and $87 per session. Logan realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer: The 2 Plan will have same cost of $2149 after 64 sessions.
Let the Two plan be Plan A and Plan B.
Also let the number of session be
According to given detail
Plan A =
Plan B =
We need to find the value of when both are equal.
Plan A = Plan B
=
Solving above equation we get;
Number of session are 64.
Cost after 64 session will be,
Plan A =
Plan B =
Hence The 2 Plan will have same cost of $2149 after 64 sessions.
Step-by-step explanation:
f'(x) = 4f(x) and f(0) = 10
Answer:f(x)=10e^4x
Step-by-step explanation:
f(x)=C*e^4x
f(0)=c*e^4.0
10=C*e^4.0
10=C
f(x)=C*e^kx
f(x)=C*e^4x
1 trillion = 1,000 billion
There are about 40 trillion cells in the human body.
Each cell consists of about 100 trillion atoms.
About how many atoms are there in the human body altogether?
Give your answer in standard form.
The number of atoms in standard form is 4 × 10²⁵ atoms
What is standard form?Standard form is number written in the form a × 10ⁿ where 1 ≤ a < 10 and n is an integer
How to find how many atoms are there in the human body altogether in standard form?Since there are about 40 trillion cells in the human body. and each cell consists of about 100 trillion atoms, we have that
40 trillion cells = 40 trillion × 1 cell
Also, 1 cell = 100 trillion atoms.
So, 40 trillion × 1 cell = 40 trillion × 100 trillion atoms.
Now, we know that 1 trillion = 1000 billion
So, Number of atoms = 40 trillion × 100 trillion atoms
= 40 × trillion × 100 × 1 trillion atoms.
= 40 × 1000 billion × 100 × 1000 billion atoms.
= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.
We know that 1 billion = 1000000000
So,
= 40 × 1000 × 100 × 1000 × 1 billion × 1 billion atoms.
= 40 × 1000 × 100 × 1000 × 1000000000 × 1000000000 atoms
= 40000000000000000000000000
= 4 × 10000000000000000000000000
= 4 × 10²⁵ atoms
So, the number of atoms in standard form is 4 × 10²⁵ atoms
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Fleur is making 8 identical thank-you cards for her teachers. each card requires 2.5 sheets of yellow paper and some red paper. she uses a total of 30 sheets of paper. a. write an equation that can be used to determine the number of red sheets, r, required for each card. __
The required equation to determine the number of red sheets, r, required for each card is 8r + 20 = 30.
Let the required number of red paper be r. For one card, the 2.5 sheets of yellow paper are required. So, for 8 thank-you cards, the yellow papers required will be = 8×2.5
Number of yellow papers = 20
Total number of sheets required = Number of yellow sheets for 8 cards + Number of red sheets for 8 cards
Keep the values in formula to form the equation
30 = 20 + 8r
8r = 10
r = 10/8
r = 1.25
So, the equation for calculation of number of red papers for each card is 1.25.
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According to a report for veterinarians in the united states, 36. 5 percent of households in the united states own dogs and 30. 4 percent of households in the united states own cats. If one household in the united states is selected at random, what is the probability that the selected household will own a dog or a cat?.
HELP ME PLEASE ASAP MATH PLEASE HELP Ill give brainlyless if someone do it right and help me
Juan wants to buy a video game for $63 He saves every Friday $12.
An equation to represent Juan’s total savings, , in dollars, after Fridays y is
Part A is
y =12x
Fridays will it take for Juan to save up enough money for the video game is .
Part B
y > 63
12 x > [tex]5\frac{1}{4}[/tex]
x = 6
so
That means 6 fridays
An equation to represent Juan’s total savings, , in dollars, after Fridays y is 12 x Fridays will it take for Juan to save up enough money for the video game is 6 friday.To learn more about total savings refer to:
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Find the missing base.
Write your answer as a whole number.
2=100
The missing base for the expression x² = 100 is given by:
± x = 10.
How to find the missing base?The expression in this problem is given as follows:
x² = 100.
The missing base is represented by the variable x, hence we have to solve the above expression x² = 100 for the variable x.
To solve for x, we need to isolate the variable x, applying the inverse operation to the second power, which is the square root, hence the variable x is isolated as follows:
x = plus/minus square root of 100.
The plus/minus sign is necessary because the x-squared function is even, then the missing base is obtained as follows:
x = ± 10.
Plus/minus 10 because both of these statements are true:
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A store manager instructs some new trainees that a barbecue grill priced at $700 winds up costing a customer $714 once the sales tax is included. What is the sales tax percentage?
Write your answer using a percent sign (%).
Answer:
0.02 or 2%
Step-by-step explanation:
$700(x)=$714
$700(0.02)=14
700+14=714
Verify experimentally that the diagonals of a square are equal to each other.
The diagonals of a square are equal to each other
Let ABCD be a square.
We need to prove that the diagonals are equal to each other
AC=BD and AC and BD bisect each other at right angles
(i) Considering the ΔABC and ΔBAD,
AB=AB ( common line)
BC=AD ( opppsite sides of a square)
∠ABC=∠BAD ( = 90° )
ΔABC≅ΔBAD( By SideAngleSide property)
AC=BD ( by CPCT).
(ii) Now in triangles ΔOAD and ΔOCB,
AD=CB ( opposite sides of a square)
∠OAD=∠OCB ( transversal AC )
∠ODA=∠OBC ( transversal BD )
ΔOAD≅ΔOCB (ASA property)
OA=OC ---------(i)
Similarly OB=OD ----------(ii)
From (i) and (ii) we can conclude that AC and BD bisect each other.
Now in a ΔOBA and ΔODA,
OB=OD ( from (ii) )
BA=DA
OA=OA ( common line )
ΔAOB=ΔAOD----(iii) ( by CPCT
∠AOB+∠AOD=180° (linear pair)
2∠AOB=180°
∠AOB=∠AOD=90°
Therefore, it is proved that AC and BD bisect each other at right angles.
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find the equation of a line that is equidistant from the points (2,4) and (-4,6)
The equation of a line is y = 5x - 6
What is Equation of line ?
A straight line's general equation is y = mx + b, where m denotes the gradient or slope and y = b denotes the point at which the line crosses the y-axis. On the y-axis, this value b is referred to as the intercept.
The given points are (2, 4) and (-4, 6)
The equation of line is given ,
y = mx + b
where, m = slope
b = y - intercept
To find slope , we have formula
slope (m) = (y2 - y1) / (x2 - x1)
let, (x1, x2) = (2, 4) and
(y2, y1) = (-4, 6)
Now, put the values in slope formula,
m = ( 6 - (-4) ) / ( 4 - 2)
m = (6 + 4) / 2
m = 10 / 2
m = 5
We get slope, now find y-intercept i,e, 'b'
y = 5x + b
so take any point to find 'b'
Let's take the point (2, 4) which is (x, y) so now put the (x, y) and find 'b'.
4 = 5 * 2 + b
4 = 10 + b
b = 4 - 10
b = -6
so, now put the values of slope and y-intercept in equation of line i.e, y = mx + b
y = 5x - 6
Hence, the equation of a line is y = 5x - 6
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state: how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.
The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).
Define confidence interval.In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. The size of a 90% confidence interval for a given estimate is one way to gauge how "excellent" it is; the greater the interval, the more care must be used when utilizing the estimate. Confidence intervals serve as a crucial reminder of the estimates' limits.
Given,
Data set: (33190, 31860, 32590, 26520, 33280, 32320, 33020, 32030, 30460, 32700, 23040, 30930, 32720, 33650, 32340, 24050, 30170, 28730, 31920)
The normal distribution's standard deviation, s = 3000 pounds
95% confidence interval
N = 20 observations were made.
Mean = 30,800
Margin of error :
z₇ × √3000².20
±1.314.8079
Confidence interval
= Mean + Margin of error
= 30,800 ±1.314.8079
= 29,485.192 , 32,114.8
The range of the confidence interval for the mean load needed to separate the wood is (29,485.192 , 32,114.8).
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A school had 1 200 students last year and only 1 080 students this year.
What was the percent decrease in the number of students?
Answer:The percentage decrease in the number of students is -10%.
Given that,
The school has 1,200 students last year.
And, this year it is 1,080.
Based on the above information, the calculation is as follows:
Therefore we can conclude that the percentage decrease in the number of students is -10%.
Step-by-step explanation: noice
b According to estimates, there are over 300 million people living in the Unite
States. How many Neyland Stadiums would it take to hold 300 million people
Answer:
it would take 3,000 neyland stadiums to take 300milion people is rounded i hope this helps
Step-by-step explanation:
0
O
13. Choose whether the slope of the line is positive, negative, zero, or undefined.
undefined
zero
negative
positive
The slope of the line is Positive
What is the Slope of a line:
The slope of a line is the rate of change of rising of the line and it is also defined as the steepness of the line. Slope of the line is denoted by “m.”
The slope of the line at different positions:
When we go from left to right on the graph if the line moves up then the slope of the line will be positive
When the line is parallel to the Horizontal axis i.e x-axis then the slope of the line will be zero
The slope of a line or the slope of the y-axis, that is parallel to the y-axis is undefined
From the given picture,
We can say that from left to right the given line is moving upwards
Therefore
From the above observation slope of the line is Positive
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population etiologic fraction is a measure of the proportion of the disease rate in a population attributable to the exposure of interest. this measure of effect is influenced by:
This measure of effect is influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also the prevalence of exposure in the population.
As stated, population etiology fraction is a measure of the disease rate in a population attributable to the exposure of interest. This is a measure that can be influenced only by the exposure caused due to a particular disease. Hence it can be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals and also with the prevalent of the exposure in the population.
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let n be the second smallest positive integer that is divisible by every positive integer less than 7. what is the sum of the digits of n?
The sum of the digits of n is 3 if n is the second smallest positive integer that is divisible by every positive integer less than 7
What is least common multiple?
The least common multiple (LCM) of two numbers is the lowest possible number that can be divisible by both numbers.
It can be calculated for two or more numbers as well.
For example, LCM of 10, 2 and 7 is 70.
According to the given question:
Now n must be divisible by every positive integer less than 7, or
1, 2, 3, 4, 5, and 6.
Each number that is divisible by each of these is a multiple of their least common multiple.
LCM (1,2,3,4,5,6) = 60
So each number divisible by these is a multiple of 60.
The smallest multiple of 60 is clearly 60, so the second smallest multiple of 60 is 2 x 60 = 120.
Therefore, the sum of the digits of n is 1+2+0 = 3
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(12x)^1/2 in radical form
Answer: [tex]\sqrt{12x}[/tex]
Step-by-step explanation:
Tyler bought a bowling ball for $80. Sales tax is 7%. What is the total cost of the bowling ball?
Answer:
Step-by-step explanation:
first multiply
80* 7% you can also do it as 80* (7/100)
=5.6
then,
add 80 and the ans of 80* (7/100)
80+5.6= 85.6
given p (1,3) q(8,-4), r(2,9) and s(7,y). find y such that pq || rs
By secant line formula, the missing value of the point S is equal to 4.
How to determine the missing coordinates of a point related to two parallel line segments
Two line segments are parallel if and only if both line segments have the same slope. Slopes can be determined by secant line formula, defined below:
m = Δy / Δx
Where:
Δx - Change in the variable x. Δy - Change in the variable y.Then, the missing value of the variable y in the point S is:
(- 4 - 3) / (8 - 1) = (y - 9) / (7 - 2)
- 7 / 7 = (y - 9) / 5
- 1 = (y - 9) / 5
- 5 = y - 9
y = 4
The missing value of the variable y is 4.
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John climbs a cliff that is 128 feet high in 16 minutes. What is his average rate of ascent?
Please help !!! I don’t understand 25 points !
Answer: Triangle VUT:
84:70:42
Triangle RSQ:
30:25:15
Final simplified answer: 2.8:2.8:2.8
Scale factor of 2.8
Step-by-step explanation:
Each triangle's sides are a part of the ratio, then you divide each side by the corresponding one (84 by 30, and 70 by 25) to get your scale factor.
