Answers
You can prove that in this way:
slope = rise / run = Δy / Δx
For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2
For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2
So, this proves that the two slopes are the same: 1 / 2
Related Questions
Raj eats 1/11 of a pound of grapes in 1/25 of a minute. How many minutes will it take him to eat a full pound of grapes?
Answers
Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth.
Answers
Since you want the drawing measure for a real 2 m, and 2 m is half of 4 m, then the drawing measure is 0.5 cm
If 1 cm = 4 m, then
0.5 cm = 2 m
Answer: 0.5 cm
The height of the door in the drawing will be 1/2 centimeters.
What is scale factor?Scale factor is used to compare the size of two objects. Mathematically, we can write -
{K} = S{O1}/S{O2}
13 mg
Given is that the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters.
Height of the door = 2 meters
Scale : 1 centimeter = 4 meters.
So, in one meters, there will be - 1/4 centimeters.
In 2 meters, there will be -
(1/4) x 2 = 1/2 centimeters
Therefore, the height of the door in the drawing will be 1/2 centimeters.
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Find the mean median mode and range of this date 49,49,54,55,52,49,55, if necessary round to the nearest tenth
Answers
Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy. x3y2 − x4y + 4xy3 = 0
Answers
Through applying the techniques of implicit differentiation to the equation x³y² - x⁴y + 4xy³ = 0, the derivative dx/dy is found to be [x⁴ - 4y³ - 2x³y]/[3x²y² - 4x³y].
Explanation:The subject of your question is implicit differentiation in calculus, a branch of mathematics. You wish to know how to differentiate the equation
x³y² - x⁴y + 4xy³ = 0
with respect to y (y is independent and x is dependent).
The initial step in implicit differentiation is to derive every term of an equation. So, we end up with:
3x²y²(dx/dy) + 2x³y(dy/dx) - 4x³y(dx/dy) - x⁴ + 4y³ + 12x²y² = 0.
After grouping like terms together, the equation become:
dx/dy[3x²y² - 4x³y] = x⁴ - 2x³y - 4y³
Eventually, divide both sides by [3x²y² - 4x³y] to isolate dx/dy and get the final answer:
dx/dy = [x⁴ - 4y³ - 2x³y]/[3x²y² - 4x³y]
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ANSWER FAST
Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
Which equivalent expression could he also use to find the total cost?
A. 15+0.6(15)
B. (1+0.06)15
C. 1+0.06(15)
D.15 + 0.06
Answers
You posted this question twice, hah.
Do you need work to show it?
Which multiplication property is shown in the equation 3.1x(2x9)=(3.1x2)x9
Answers
The given equation, 3.1x(2x9)=(3.1x2)x9, demonstrates the Associative Property of Multiplication. The property means that the way numbers are grouped in multiplication does not change the result.
Explanation:The multiplication property shown in the equation 3.1x(2x9)=(3.1x2)x9 is referred to as the Associative Property of Multiplication. This property states that when three or more numbers are multiplied, the product does not depend on how the numbers are grouped. Therefore, (a x b) x c equals a x (b x c).
In the given equation, we can see this property applied. 3.1x(2x9) can be rearranged as (3.1x2)x9 and the results of both expressions will be the same. This demonstrates that the grouping does not affect the result of the multiplication.
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Which of the articles represent a proper fraction? A. 15/22 B. 8/8 C. 3/2 D. 12/9
Answers
a) 15/22, numerator (top number) less than the denominator (bottom number). CORRECT ANSWER
B) 8/8 numerator equals denominator, not a proper fraction
C) 3/2, numerator greater than denominator, not a proper fraction
D) 12/9 . numerator greater than denominator, not a proper fraction
An observer (O) spots a plane flying at a 35° angle to his horizontal line of sight. If the plane is flying at an altitude of 17,000 ft., what is the distance (x) from the plane (P) to the observer (O)?
20,757 feet
24,251 feet
29,639 feet
31,262 feet
Answers
Answer:
here are numerous information's already given in the question. Based on those information's, the answer to the question can be easily deduced.
Angle at which the plane is flying in respect to the observer = 35 degree
Altitude at which the plane is flying = 17000 feet
The distance at which the plane is flying from the observer = x
Then
x = 17000/sin 35
= 17000/0.57357
= 29638.93 feet
= 29639 feet
From the above deduction, we can conclude that the correct option among all the options given in the question is the third option.
GIVE BRainliest plz
The distance between the plane and the observer is 29,638 feet.
Data;
Angle = 35 degreesheight of the plane = 17,000ftdistance from the plane to the observer = xTrigonometric RatioThis is the use of SOHCAHTOA which is the relationship between sides of a right angle triangle and it's angle.
In this case, we have the value of opposite and angle and we need to find the hypothenuse.
Using sine of the angle,
[tex]sin\theta = \frac{opposite}{hypothenuse} \\sin 35 = \frac{17000}{x}\\ x = \frac{17000}{sin35}\\ x = 29,638 feet[/tex]
The distance between the plane and the observer is 29,638 feet.
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identify the type of of function represented by the equation y=2x^2
Answers
If an original conditional statement is represented by p → q, which represents the contrapositive?
Answers
~q → ~p that's the answer
The Lombardo family went out to dinner and their full mean costed $62. If they left a 20% tip, how much did they tip?
Answers
A pooled proportion is calculated by giving each sample proportion an equal weight.
a. True
b. False
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Which number is 100 times greater than 6 thousandths
Answers
.006 * 100 = .6
There are three highways in the county. the number of daily accidents that occur on these highways are poisson random variables with respective parameters .3, .5, and .7. find the expected number of accidents that will happen on any of these highways today.
Answers
If [tex]X=X_1 + X_2 + ...+X_k[/tex], then [tex]E(X)=E(X_1)+E(X_2)+...+E(X_k)[/tex].
In this case, let X = the number of accidents that will happen on any of those highways today,
[tex]X_1,X_2,X_3[/tex] are the numbers of accidents on each highway, respectively.
Then [tex]X = X_1+X_2+X_3[/tex].
Since [tex]X_1,X_2,X_3[/tex] are Poisson variates, their expected values are the parameters given, .3, .5 and .7.
So [tex]E(X_1)=.3, E(X_2) = .5, E(X_3) = .7[/tex]
Thus, [tex]E(X)=E(X_1)+E(X_2)+E(X_3) = .3 + .5 + .7 = 1.5[/tex]
The answer is 1.5.
Final answer:
To find the expected number of accidents on three highways with Poisson distributions, sum the individual expectations: 0.3, 0.5, and 0.7, resulting in an expected 1.5 accidents per day.
Explanation:
The student asked how to find the expected number of accidents that will happen on any of the three highways in a day, given that the number of daily accidents on these highways are Poisson random variables with parameters 0.3, 0.5, and 0.7 respectively. To solve this, we shall sum the parameters of the Poisson distributions because the expectation of the sum of independent random variables is the sum of their expectations.
Therefore, we calculate the expected number of accidents as follows:
For the first highway with parameter 0.3, the expected number of accidents is 0.3.
For the second highway with parameter 0.5, the expected number of accidents is 0.5.
For the third highway with parameter 0.7, the expected number of accidents is 0.7.
Adding these together, we get:
Expected number = 0.3 + 0.5 + 0.7 = 1.5 accidents per day.
248mph equals how many meters per second
Answers
[tex]\bf \cfrac{248~\underline{mile}}{\underline{hr}}\cdot \cfrac{1.609~\underline{km}}{\underline{mile}}\cdot \cfrac{1000~m}{\underline{km}}\cdot \cfrac{\underline{hr}}{3600~sec}\implies \cfrac{248\cdot 1.609\cdot 1000~m}{3600~sec} \\\\\\ \cfrac{399032~m}{3600~sec}\approx 110.84\frac{m}{sec}[/tex]
Find the percent of tip: Cost of meal: $28.00 Tip: $3.36 The percent of the tip was ___%.
Answers
Answer:
12.00%
Step-by-step explanation:
[tex]$3.36\\[/tex] ÷ [tex]$28.00\\[/tex] = [tex]0.12\\[/tex]
[tex]100 *0.12=12%\\[/tex] %
A card is randomly selected from a deck of 52 cards. Find the probability that the card is between four and eight (inclusive) or is a club.
Answers
Answer:
20/52+13/52-5/52=.538
Step-by-step explanation:
The probability that the card is between four and eight (inclusive) or is a club is 4/13.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of cards can be written as,
The number of cards between 4 and 8 is 3 {4,5,6,7,8}.Number of club cards = 13Number of cards between 4 and 8 from heart, spades, and diamonds = 15Now, the probability that the card is between four and eight (inclusive) or is a club is,
Probability
= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)
= (13+15)/(52)
= 28/52
= 4/13
Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.
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What is the effect of decreasing the alpha level (for example, from a = .05 to a = .01)? it decreases the probability of a type i error. it decreases the size of the critical region. it decreases the probability that the sample will fall into the critical region. all of the other options are results of decreasing alpha?
Answers
Therefore, the answer is that all of other options are results of decreasing alpha.
The 2015 senior class from puma high school raised funds for an end of the year party at club sizzle. It costs $4,000 to rent out club sizzle plus $20 per student for food and drinks. If the senior class raised 11,000, how many students can attend the end of year party ? Write an equation for the situation and solve.
Answers
20x=11000-4000
20x=7000
20/20x=7000/20
x=350 $tudents.
A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
Answers
1 $5
4 $1
3 $.25
1 $.10
1 $.01
4 tens 1 five 4 ones 3 quarters 1 dime and one penny
At what projection angle will the range of a projectile equal to 6 times its maximum height?
Answers
H = v²sin²θ/2g
The formula for range is:
R = v²sin(2θ)/g
The relationship between the two is written as:
R = 6H
v²sin(2θ)/g = 6(v²sin²θ/2g)
v²sin(2θ)/g = 3v²sin²θ/g)
Cancelling out like terms,
sin(2θ) = 3sin²θ
Solving for θ using a scientific calculator,
θ = 33.7°
find the equation to the line that is perpendicular to y=2x-3 and goes through the point (-1,2)
Answers
so, notice, since it's already in slope-intercept form, we know the slope is just 2.
a line that is perpendicular to it, will have a negative reciprocal slope to it, let's check.
[tex]\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad 2\implies \cfrac{2}{1}\\\\ slope=\cfrac{2}{{{ 1}}}\qquad negative\implies -\cfrac{2}{{{ 1}}}\qquad reciprocal\implies - \cfrac{{{ 1}}}{2}[/tex]
so, what is the equation of a line whose slope is -1/2 and goes through -1,2?
[tex]\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ -1}}\quad ,&{{ 2}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies -\cfrac{1}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-2=-\cfrac{1}{2}[x-(-1)] \\\\\\ y-2=-\cfrac{1}{2}(x+1)\implies y-2=-\cfrac{1}{2}x-\cfrac{1}{2}\implies y=-\cfrac{1}{2}x-\cfrac{1}{2}+2 \\\\\\ y=-\cfrac{1}{2}x+\cfrac{3}{2}[/tex]
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
Answers
In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
Explanation:In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week. The $400 represents her base salary, and the 0.1s represents the commission she earns on her sales. The value of s represents Tasha's total sales for the week.
For example, if Tasha's total sales for the week are $2000, then her commission would be 0.1($2000) = $200. Adding this to her base salary of $400, her total earnings for the week would be $400 + $200 = $600.
Therefore, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
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if the raidus of mars(3,397 km) is about 13.7% of of neptunes radius, what is the radius of neptune?
Answers
You deposit $5000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 20 years?
Answers
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. the cost to play the game is $5. what is the expectation of this game?
a. $3.06
b. -$2.78
c. -$3.06
d. $2.78
Answers
Final answer:
The expected value of the gambling game with a cost of $5, and potential winnings of $10 for a sum of 10 or $20 for a sum 3, is −$2.78. The calculation shows the player will lose $2.78 on average per game, indicating it is not a profitable game to play long term. So, option (b) is correct.
Explanation:
The student is interested in determining the expected value of a gambling game where rolling two dice can result in either winning money or losing the cost to play. To find the expected value, we must consider the probability of each outcome and its associated payoff.
First, we calculate the chances of rolling a sum of 10 with two dice. There are three combinations that give a sum of 10: (4,6), (5,5), and (6,4). Since there are 36 possible outcomes when rolling two dice, the probability of obtaining a sum of 10 is 3/36 or 1/12.
Similarly, the only combinations that result in a sum of 3 are (1,2) and (2,1). Thus, the probability of rolling a sum of 3 is 2/36 or 1/18.
The expected value (EV) can be calculated using the formula:
EV = (−cost to play) + [P(sum of 10) × winnings for 10] + [P(sum of 3) × winnings for 3]
Substituting the given values yields:
EV = (−5) + [(1/12) × 10] + [(1/18) × 20]
After calculating, we find tha-
EV = −$2.78.
Since the expected value is negative, this implies that, on average, the player will lose $2.78 per game. Therefore, playing this game would result in an average loss over time.
The square root of 150 is between
A.10 and 11
B.11 and 12
C.12 and 13
D.13 and 14
Answers
Hope this helps!
Can someone please help?
Answers
distribute
3b-12+5b=44
combine number with numbers and variables with variables
8b=56
decide by 8 on both sides
b=7
3(b-4)+5b=44
There is only one unknown in the equation. The unknown is b.
We must isolate the unknown b on one side of the equation.
According the law of multiplication we can write the following:
3b-3*4+5b=44
3b-12+5b=44
(3b+5b)-12=44
8b-12=44
We shift a number from one side of an equation
to the other by writing it on the other side with the inverse operation,so we obtain:
8b=44+12
8b=56
b=56/8
b=7
You swim the 50-meter freestyle in 28.12 seconds.This is 0.14 second less than your previous fastest time. What was your previous fastest time?
Answers
If a person swim the 50-meter freestyle in 28.12 seconds. This is 0.14 second less than persons previous fastest time is 28.26.
What is Equation?
Two or more expressions with an equal sign is called as equation.
Given that,
One swim the 50-meter freestyle in 28.12 seconds..
The previous fastest time be x.
The new fastest time is 28.12 seconds.
New fastest time is 0.14 second less than your previous fastest time.
So, 28.12+0.14=x
28.26=x
Hence the previous fastest time is 28.26 seconds.
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Alyssa is building a brick mailbox. She is going to stack bricks that are each \dfrac23 \text{ft}
3
2
ftstart fraction, 2, divided by, 3, end fraction, f, t tall, and the finished stack of bricks needs to be 4\dfrac23 \text{ft}4
3
2
ft4, start fraction, 2, divided by, 3, end fraction, f, t tall.
How many bricks will go in the stack?
Answers
Let the number of bricks in the stack be x, then
[tex] \frac{2}{3} x=4 \frac{2}{3} = \frac{14}{3} \\ \\ \Rightarrow x= \frac{ \frac{14}{3} }{ \frac{2}{3} } = \frac{14}{3} \times \frac{3}{2} \\ \\ = \frac{14}{2} =7[/tex]
Therefore, 7 bricks will go in the stack.