The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?
Answers
Related Questions
A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?
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Answer:
2/5.
Step-by-step explanation:
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
To find the denominator, you add all of the times the experiment has been done.
6 + 9 = 15.
Then, since they're asking about purple shirts, you put that as the numerator.
Making it 6/15.
To simplify, divide both sides by 3, making it 2/5 simplified.
Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.
To learn more on probability click:
brainly.com/question/11234923
#SPJ3
A boat heading out to sea starts out at Point A, at a horizontal distance of 819 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 14∘ . At some later time, the crew measures the angle of elevation from point B to be 7∘ . Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
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Answer:
[tex]844\:\text{ft}[/tex]
Step-by-step explanation:
I've created a diagram and added steps on GeoGebra for reference. Please refer to the diagram below:
In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side (o/a).
Therefore, we have the two equations:
[tex]\begin{cases}\tan 14^{\circ}=\frac{h}{819}\\\tan 7^{\circ}=\frac{h}{819+x}\end{cases}[/tex]
Because [tex]h=h[/tex] (reflexive property), we have:
[tex]819\tan 14^{\circ}=\tan 7^{\circ}(819+x)[/tex]
Isolating and solving for [tex]x[/tex]:
[tex]\frac{819+x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\1+\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}},\\\\\frac{x}{819}=\frac{\tan 14^{\circ}}{\tan 7^{\circ}}-1,\\\\x=819(\tan 14^{\circ}\cot 7^{\circ}-1),\\\\x=844.07256243\approx \boxed{844\text{ ft}}[/tex]
A company sells widgets. The amount of profit, y, mar by the company, is related to the selling price of each widget, x, by the given equation. using this equation, find out the maximum amount of profit the company can make, to the nearest dollar. y=-2x^2 + 105x - 859
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Answer:
$522.12
Step-by-step explanation:
We can find this by x=-b/(2a) where a = -2 and b = 105:
x = -105/(2)(-2)
x= -105/-4
x= 105/4
We put this value of "x" into the original formula to find out the value of "y"
y = -2x^2 + 105x - 859
y = (-2)(105/4)^2 + 105(105/4) - 859
y = -1378.13 + 2756.25 - 859
y = 522.12
Therefore, the maximum profit would be $522.12
Hope this helps!!
I don’t know the answer please help me out
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Explanation:
1/3 x 45 is 15, so the comparison is correct because 15 is less than 45.
the rest of the choices are incorrect because:
B. 60 < 60 x 3/4 is wrong because 60 x 3/4 = 45 which is LESS than 60, not greater
C. 20 x 1/5 >20 is wrong because 20 x 1/5 = 4 which is LESS than 20, not greater
D. 25 < 2/3 x 25 is wrong because 2/3 x 25 = 16 2/3 which is LESS than 25, not greater
Have a nice day (brainliest pls tysm!)
Sin 37°, to 4 decimal places
Answers
Answer:
answer= 0.6018
Step-by-step explanation:
0.6018150235 to the 4 decimal =0.6018
PLEASE HELP!!!
In 1994, the city of Amuel had a population of 1,256 people. That same year a factory opened near the town, and many people moved into the city limits. The population grew to 1,381 people in 1995, and in 1996 the population of Amuel reached 1,519 people. Assume this rate of growth continued until the factory closed in 2007. How many people were living in Amuel when the factory closed? Explain. Round to the nearest whole number, if needed.
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Answer:
Step-by-step explanation:
so if in 1994 it was = 1,256
1995 = 1256 + x = 1,381 {x is 125}
1996 = 1381 + x = 1,519 {x is 138}
2007 = it is eleven years from 1996 to 2007 so take the average of the both digits which we will find through adding both the x quantities and dividing it with 2 the answer is 131.5. back to 2007, so multiply 11 with 131.5 which is 1,446.5. now add 1,446.5 to 1519
and the answer is 2,965.5.
hope it helps
If a1 = 4 and an = (an-1)2 + 3 then find the value of a4.
Answers
Answer:
pay more
Step-by-step explanation:
Give brainiest if right!!
Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?
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Answer:
4000 miles
Step-by-step explanation:
320x1.5=480
(320x5)+(480x5)=4000
4000 miles
Answer:
[tex]4,000\text{ miles}[/tex]
Step-by-step explanation:
Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.
Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.
If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.
Using [tex]d=rt[/tex], the first plane must travel:
[tex]d=320\cdot 5=1600[/tex] miles
The second plane must travel:
[tex]d=480 \cdot 5=2400[/tex] miles
However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]
Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is
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Answer:
[tex]3 \to[/tex] Coefficient of x
[tex](x+2)\to[/tex] Variable
[tex]4 \to[/tex] Constant
Step-by-step explanation:
Given
[tex]3x + 2(x +2) + 4[/tex]
Required
Complete the statements
In 3x, x is the variable; so:
[tex]3 \to[/tex] Coefficient of x
In 2(x + 2), 2 is the variable so:
[tex](x+2)\to[/tex] Variable
4 stands alone. So, it is a constant
[tex]4 \to[/tex] Constant
Answer: In the first term, 3 is a coefficient
In the second term, (x + 2) is a factor
In the last term, 4 is a constant
Step-by-step explanation:
The 3 in the first term is multiplied by a variable, x. So it is a coefficient.
The (x + 2) in the second term is multiplied by 2. So, it is a factor.
The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.
Which step can you use to solve the equation c-7 = 13 for c?
A. Add 7 to both sides of the equation.
B. Subtract 7 from both sides of the equation.
C. Multiply both sides of the equation by 7.
D. Divide both sides of the equation by 7.
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Hi there!
»»————- ★ ————-««
I believe your answer is:
A. Add 7 to both sides of the equation.
»»————- ★ ————-««
Here’s why:
To solve for a variable we need to use inverse operations to 'undo' a value. We would do this on both sides for the equation to remain balance.The opposite of subtraction is addition, so we would add 7 to both sides of the equation to solve for c.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\c - 7 = 13\\---------\\\rightarrow c - 7 + 7 = 13 + 7\\\\\rightarrow \boxed{c=20}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Hey there!
Since the given equation is subtracting, we're going to do the opposite of s traction which addition; whereas addition opposite is subtraction, division is multiplication, and multiplication is division. Now that we got that information out the way, we can finally answer your question
The very first step to solving c - 7 = 13 is ADDING 7 to BOTH SIDES because it is the opposite of subtracting
Answer you're looking for: Option A. Add 7 to both sides of the equation
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Function limits:
Exercise approximation method
Answers
9514 1404 393
Answer:
A. 2
B. 6
Step-by-step explanation:
The attachment shows the table of values for exercises A and B.
A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.
__
Additional comment
Here, the function simplifies to ...
f(x) = (2x)(x -1)/(x -1) = 2x
The simplified function can be evaluated directly at the limit value of x, with no approximation needed.
Write the product in standard form. (2 + 3i)(2 - i)
Answers
9514 1404 393
Answer:
7 +4i
Step-by-step explanation:
(2 +3i)(2 -i) = 2(2 -i) +3i(2 -i) = 4 -2i +6i +3 = 7 +4i
_____
i = √-1, so i^2 = -1. Otherwise the product is identical to what you would get if "i" were a variable.
Please help me in this question.
Answers
Answer:
a) 24
b) 63
c) 2
d) -2
Step-by-step explanation:
you are supposed to try different numbers, but...
X-9 = 15 add 9 to both sides
X = 24
7x/9 = 49 multiply both sides by 9
7x = 441 divide by 7
x = 63
3(x + 6) = 24 divide both sides by 3
(x + 6) = 8 subtract 6 from both sides
X = 2
11x + 2 = -20 subtract 2 from both sides
11x = -22 divide both sides by 11
X = -2
Zoey bought a new skateboard that cost 36.79. How much change should she get if she paid for the skateboard with two 20 bills
Answers
Answer:
4 dollars and something back
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
$3.21
»»————- ★ ————-««
Here’s why:
Zoey bought a $36.79 skateboard and paid for it with two $20 bills. This means that Zoey paid $40 in total.⸻⸻⸻⸻
[tex]40.00-36.79=\boxed{3.21}[/tex]
⸻⸻⸻⸻
She should get $3.21 as her change.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1) Express the following in exponential form:
b)1800
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Answer:
1.8*10^3
Step-by-step explanation:
Exponential form should always be between 1 - 10. If you place the decimal point 3 places to the left, The power of 10 would be 3.
The sum of triple a number and 5 is 40.
Answers
(all forms)
hope this helped !!
Find the area of the composite/irregular figure. Use 3.14 for pi.
PLEASE SHOW WORK/EXPLANATION FOR BRAINLIEST
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explanation: separate into rectangle and semi circle. you can find out the diameter and radius of the semi circle by subtracting the 6 from the top from the 16 of the bottom because the diameter of the circle plus the 6 take up the same length.
16 - 6 = 10
for radius divide by 2
10 / 2 = 5
area of rectangle: l x w
16 x 7 = 112
area of semi circle: 1/2(pi)r^2
1/2(3.14)5^25 = 39.25
add up the two areas to find the area of the entire figure
112 + 39.25 = 151.25
Answer:
151.25cm
Step-by-step explanation:
First split the the shape into two, a rectangle and a semicircle.
Let's begin with the rectangle. The formula for the area of a rectangle is
A = l × w
A = 16 × 7
A = 112
Now we move onto the semicircle. We know that the length of the long side of the rectangle is 16. Because of the markings, we know that the missing portion of the 6cm line is 16 as well. That means that we would do 16 - 6 to find that small missing length. It gives us 10cm which will act as the diameter for the semicircle.
The formula for the area of a semicircle is
A = [tex]\frac{\pi r^{2} }{2}[/tex] (fill in what you know)
A = [tex]\frac{3.14 (5^{2} )}{2}[/tex] (The radius is half the diameter. So 10 ÷ 2 = 5)
A = [tex]\frac{3.14(25)}{2}[/tex] (Solve what's in the parentheses first)
A = [tex]\frac{78.5}{2}[/tex] (multiply pi and 25)
A = 39.25
Now all we have to do is add the two areas to get the combined area of the whole.
A = 112 + 39.25
A = 151.25
Equivalent expression for .68y
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Answer:
68 × y
Step-by-step explanation:
68y = 68 × y
what number must you add to complete the square? x^2+28x=11
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To complete 2ab of (a+b)²
2ab=28x2x(b)=28xb=28x/2xb=14b²=196196 must be added on both sides to get complete square as (x+14)²
Answer:
196
Step-by-step explanation:
Given equation:
[tex]x^2+28x=11[/tex]
Step 1
When completing the square for an equation in the form ax²+bx+c=0, the first step is to move the constant to the right side of the equation.
This has already been done in the given equation:
[tex]x^2+28x=11[/tex]
Step 2
Add the square of half the coefficient of x to both sides.
This forms a perfect square trinomial on the left side:
[tex]\implies x^2+28x+\left(\dfrac{28}{2}\right)^2=11+\left(\dfrac{28}{2}\right)^2[/tex]
Simplify:
[tex]\implies x^2+28x+14^2=11+14^2[/tex]
[tex]\implies x^2+28x+196=11+196[/tex]
[tex]\implies x^2+28x+196=207[/tex]
Step 3
Factor the perfect square trinomial on the left side:
[tex]\implies (x+14)^2=207[/tex]
We have now completed the square and can go onto solving the equation.
Therefore, 196 must be added to both sides of the equation to complete the square.
The ___ is the center of mass of the triangle.
A. median
B. midpoint
C. orthocenter
D. centroid
Answers
Answer:D.CENTROID
Step-by-step explanation: THE ONLY CORRECT ANSWER IS CENTROID
regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all
HELP PLS
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Arjun’s family is traveling in a car at a constant speed of `65` miles per hour. At that speed, 200
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Answer:
speed=200 m/s
Step-by-step explanation:
7. Find the area of Circle Y
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Answer:
a. About 263.08 m²
Step-by-step explanation:
First find the radius (r):
Area of sector = central angle/360 ×πr²
Area of sector = 85.5 m²
Central angle = 117°
Plug in the values into the equation
85.5 = 117/360 × π*r²
85.5 = 1.02 × r²
85.5 - 1.02 = r²
84.48 = r²
r = √84.48
r = 9.19 m
✔️Find the area of the circle
Area of the circle = πr²
Where,
r = 9.19
Plug in the value
Area = π*9.2²
Area = 265.326663 (this is close to 263.08 cm²)
Area therefore is about 263.08 cm².
The City Sights tour company had the same ratio of tourists to guide on both days this weekend.On Saturday,there were 120 tourists and 18 guides.On Sunday,there were 40 tourists.How many guides were there on Sunday?
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Answer: There were 6 guides on Sunday.
Step-by-step explanation:
I suppose that this is a question about equivalent ratios:
It is said that the company had the same ratio of tourists to guides on Saturday and Sunday.
RATIO OF TOURISTS TO GUIDES:
SATURDAY: 120 : 18
SUNDAY: 40 : ?
Divide 120 by 40:
120/40 = 3
Divide 18 by 3:
18/3 = 6
Therefore:
SAT: 120 : 18
SUN: 40 : 6
Check it by multiplying both numbers in the ratio 40 : 6 by 3:
40 • 3 : 6 • 3
= 120 : 18
(You get the ratio from Saturday)
Hope this helps!
plzz help ill mark u brainliest
A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals
Answers
Step-by-step explanation:
<5 is congruent to <3 ( parallel lines form alternate interior angles)
<4 is congruent to <2 ( parallel lines form alternate interior angles)
the sum of angles 1,4, and 5 equals 180 (angles on a line)
the sum of angles 1,2,3 equal 180 as well
2. Emily hopes to be at least 72 inches tall. Right now she is 56 inches tall. Write
an solve an inequality to find how much more Emily would like to grow.
Interpret the solution (2.5 marks)
I NEED HELP PLZZZ WITH THE STEPSSS
Answers
Answer:
x ≥ 16
He'll like to grow atleast 16 inches more
Step-by-step explanation:
Given :
Present height, p = 56 inches
Final height, f is atleast 72 inches ; f ≥ 72
Let additional height required = x
Writing the problem as an inequality ;
Present + additional height ≥ final height
56 + x ≥ 72
x ≥ 72 - 56
x ≥ 16
He'll like to grow atleast 16 inches more
Given. <1 and <2 are supplements , <3 and <4 are supplements, and <1 = <4
Prove : <2 = <3
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8. Statement - m<1+m2=m<3+m<1
Reason - substitution property
9. Statement - m<2 = m<3
Reason - subtraction property
10. Statement - <2=<3
Reason - definition of = angles !!
The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.
Answers
Step 1
Given,
Slope is b0=0.2809
Intercept is b1=21.9945
Let y=the percentage of adults who smoke.
And x=year
Therefore, the regression equation is obtained as-
y=21.9945+0.28...
Find the area of this circle.
Answers
Answer:
not sure man... goodluck tho
Answer:
Step-by-step explanation:
diameter=12 cm
radius r=12/2=6 cm
area A=πr²=3(6)²=108 cm²
3. a trader sold an article at a discount of
18% for GHC828.00. If the article
was initially marked to gain 25%
profit, find the:
a) cost price of the article
b) discount allowed.
Answers
Answer:
GHC757.317
GHC181.756
Step-by-step explanation:
Given that :
Discount on sale = 18%
Sale price at 18% discount = 828
828 = 100% - 18%
828 = 82%
The cost at 100% can be represented as :
828 = 0.82
x = 1
Cross multiply :
828 = 0.82x
x = 828 / 0.82
x = 1009.7560
The price 1009.7560 includes a marked gain of 25% ; Hence, cost price of the article is :
(100 - 25)% * 1009.7560
0.75 * 1009.7560
= GHC757.317
Discount allowed :
1009.7560 - 828
= GHC181.756
