Which one of the following gives the gradient of the line shown above?
A: 3/2
B: -2/3
C: 2/3
D: 6
E: -3/2
Answers
Answer: A: 3/2
Step-by-step explanation:
When we have a line that passes through the points (x1, y1) and (x2, y2), the slope of this line is:
s = (y2 - y1)/(x2 - x1)
In this graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
Then the slope is:
s = (0 - (-3))/(2 -0) = 3/2
Then the correct option is A.
The gradient of the line shown above is A: [tex]\frac{3}{2}[/tex]
Slope of the line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is :
slope [tex]=\frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Now, from the given graph we can see that the line passes through the points:
(0, - 3) and (2, 0)
The slope is:
[tex]s = \frac{(0 - (-3))}{(2 -0)} \\=\frac{3}{2}[/tex]
Therefore the correct option is A.
Learn more:https://brainly.com/question/10206962
Related Questions
For a class project, a teacher cuts out 15 congruent
circles from a single sheet of paper that measures 6
inches by 10 inches. How much paper is wasted?
O (60 - 152) square inches
O 150 square inches
O 45 square inches
O (60 - ) square inches
Answers
Answer:
its 60-15(pie) sq inches
Step-by-step explanation:
Let y=5x_1+3x_2+〖9x〗_3 find Mean and variance of y. Where x_1,x_2 and〖 x〗_3 are independent uniform random variable with parameter of x_(1 ) as [2:4] for x_2 as [5:10] and for x_3 as [0:4]?
Answers
Answer:
Mean value = 55.5
Step-by-step explanation:
Y = 5X1 + 3X2 + 9X3
CASE 1:
X1 = 2, X2 = 5, X3 = 0
Y = 5(2) +3(5) + 9(0) = 10 + 15 + 0 = 25
CASE 2:
X1 = 4, X2 = 10, X3 = 4
Y = 5(4) + 3(10) + 9(4) = 20+30+36 = 86
The mean value of Y is (25 + 86)/2 = 55.5
The variance from the mean is 30.5
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked. What equation will you use to solve this word problem? What equivalent equation can you write after combining like terms? How many days will Maisie have to walk the dogs?
Answers
Answer:
15d + 50 = 125
15d = 75
5 days
Step-by-step explanation:
Her total must equal $125.
She has $50 so far.
50 + _____ = 125
In the blank, we will put what she will earn by walking the dogs.
Each day she will earn $15. In d number of days, she will earn 15d.
The equation is:
50 + 15d = 125
15d + 50 = 125
We can subtract 50 from both sides to get
15d = 75
Now we solve the equation to find the number of days.
We divide both sides by 15.
15d/15 = 75/15
d = 5
She will need to walk the dogs for 5 days.
B, A, C are the answers
In order to clear out room for new merchandise, James decided to mark down some of the items for sale in his electronics store. He marked down DVD players by 36%, and he marked down stereo tuners by 22%. If DVD players cost $41.60 after the markdown and stereo tuners cost $69.42 after the markdown, which item’s price was reduced by more, and by how many dollars more was it reduced? Round all dollar values to the nearest cent.
Answers
Answer:
a) Which item’s price was reduced by more, and by how many dollars more was it reduced?
The DVD player's price was reduced more by $3.82 than the stereo tuner's price.
b) Round all dollar values to the nearest cent.
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
The DVD player's price was reduced by 382 cents more than the stereo tuner's price
Step-by-step explanation:
Lets day the original price of the DVD player was $100
We are told the price was marked down to 36%
36% of $100 = $36
$100 - $36 = $64
We are told the DVD cost $41.60 after the markdown.
Original cost of DVD =
$41.60/$64 × 100 = $65
Lets the original price of the Stereo player was $100
We are told the price was marked down to 22%
22% of $100 = $22
$100 - $22 = $78
We are told the DVD cost $69.42 after the markdown.
Original cost of Stereo =
$69.42/$78 × 100 = $89
DVD = $65 - $41.60 = $23.40 less
Stereo = $89 - 69.42 = $19.58 less
Difference between the DVD and the Stereo is
$23.40 - $19.58 = $3.82
Therefore,the DVD player's price was reduced by $3.82 more than the stereo tuner's price
Rounding $3.82 dollars to the nearest cents
$1 = 100 cents
$3.82 =
3.82 × 100 cents
= 382 cents
Answer:
The answer is A on edg 2020
Step-by-step explanation:
the number 3^13 - 3^10 is divisible by
Answers
Explanation:
Since 3^13 is divisible by 3 and 3^10 is also divisible by 3 which is an odd number
But when an odd number substract an odd number it became even
Example: 9(odd) - 3(odd) = 8(even)
And an even number is always divisible by 2 so 2 is the answer
The angles in a triangle are
in the ratio 1:5:6. Work out the
angles in degrees.
Answers
Answer:
The angles are 15,75,90
Step-by-step explanation:
Multiply the ratio by x
1x:5x: 6x
The sum of the angles of a triangle are 180
1x+5x+6x = 180
Combine like terms
12x = 180
Divide by 12
12x/12 = 180/12
x =15
Multiply by 15
1*15 : 5*15: 6*15
15: 75:90
12: 60: 72
The local hospital offers an incentive for nurses to work longer shifts. After a regular 8-hour shift, they can make double time on the remainder of their shift. That is, they make twice their salary for each hour they work over 8 hours. Nurse Jane works 12 hour shifts Monday through Friday. Her weekly gross income is $2136.00, what is her base salary?
Answers
Answer:
$26.70/hour
Step-by-step explanation:
Let's look at 1 day.
She works a 12 hour shift. For the first 8 hours, she receives her regular hourly salary. That means 8 hours of pay at her regular hourly salary.
Then she works another 4 hours at her overtime pay. Her overtime pay is twice her regular salary, so the extra 4 hours at overtime pay are paid as if they were 8 hours of regular work. In effect, she is earning 16 hours of regular pay per day.
Monday through Friday means 5 days of work per week.
5 days/week * 16 hours/day = 80 hours/week
She is earning as if she were working 80 hours of regular pay per week.
base salary = (gross weekly income)/(effective number of hours in 1 week)
base salary = $2136/80
base salary = $26.70/hour
Find the area of △ABC with side lengths b = 9 and c = 14, and included angle A = 145∘. Round your answer to the nearest tenth.
Answers
Answer:
12 as well 45 78 u want to go 89
Can someone write these decimals in order starting with the smallest please:) 0.6, 0.64, 0.06, 0.604, 0.0604
Answers
Answer:
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Step-by-step explanation:
In ascending order: (starting from the smallest)
[tex]\boxed{0.06 < 0.0604 < 0.6 < 0.604 < 0.64}[/tex]
Answer:
.0604 < .604 < .06< .64 < .6
Step-by-step explanation:
.6= 6/10
.64=.64/100
.06=6/100
.604=604/1000
.0604=604/10000
Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille
Answers
Answer:
L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.
Option B is correct.
The number 0 represents the year when Gabriel was born.
Step-by-step explanation:
Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.
Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.
J'espère que cela t'aides!!!
English Translation
Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:
A) The year when Gabriel's sister was born
B) The year when Gabriel was born
C) The year when Gabriel's mother received a medal
Solution
It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.
Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.
Hope this Helps!!!
Can someone help me please
Answers
Answer: valu of a
Step-by-step explanation: I Did the test
Answer:
The value of A affects the answer.
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answers
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
What is the value of r in the equation?
-1.5(4-1)=-12
-6
Answers
Answer:
-4
Step-by-step explanation:
-1.5 (4-r) = -12 Distribute the -1.5.
-6 - 1.5r = -12 Add 6 to both sides.
-1.5r = 6 Divide both sides by -1.5.
r = -4
Answer:
[tex] \boxed{\sf r = - 4} [/tex]
Step-by-step explanation:
[tex] \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4[/tex]
What is the value of the rational expression when x=-2?
-7
-9
9
7
Answers
Answer:
9
Step-by-step explanation:
take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1
Abigail was skateboarding home when the wheel axle of her skateboard broke. She had already traveled two thirds of the way home and had to walk the rest of the way. Walking the rest of the way home took her twice as long as it took her to ride her skateboard. How many times faster is Abigail on her skateboard than she is walking?
Answers
Answer:
Abigail was four times faster in the skateboard than when she is walking
Step-by-step explanation:
Let the total distance to travel be d
distance traveled on skateboard = 2/3 * d = 2d/3
distance walked = 1/3 * d = d/3
So let the time taken to skate be t, then time taken to walk home will be 2t since it is 2 times longer.
Now, the speed on both trips is distance/time
For the snowboard trip, speed is 2d/3/t = 2d/3t
For the walking trip, distance would be;
d/3/2t = d/6t
So let’s compare these two speeds.
Obviously the speed on the skateboard is greater than that walking.
So we can equally divide the speed on the skateboard by that while walking to know how many times faster it is.
Thus, mathematically we have
2d/3t divided by d/6t
So that would be;
2d/3t * 6t/d = 4
So this means she was four times faster on the skateboard
The sum of the interior angles of a polygon is 9x³. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
Answers
Answer:
n = 7
Step-by-step explanation:
The sum of the interior angles of a polygon is 9[tex]x^2[/tex]. If x is 3 greater than the number of sides of the polygon, how many sides does the polygon have?
The sum of the interior angles of a concave polygon can be found using the formula S = (n - 2)*180.
n= number of sides of the polygon
n-2 * 180 = the sum of the interior angles
9[tex]x^2[/tex]= the sum of the interior angles
9[tex]x^2[/tex]= (n-2) *180
x= 3+ n
9 [tex](3+n)^{2}[/tex]=(n-2) *180
9 (9+6n+n^2) = (n-2) *180
81+54n+9n^2 = (n-2) *180
n = 7
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answers
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
I need help with this it’s URGENT!
Answers
Answer:
y = -7
Step-by-step explanation:
A horizontal line has an equation of the form
y = b,
where b = y-intercept
The y-intercept is -7, so the equation is
y = -7
Answer:
Y=-7
Step-by-step explanation:
No matter what x equals, y has to be equal to negative 7. For example i chose 3 to by X, the equation would still be (3,-7).
10. 80 machines can produce 4800 identical pens in 5 hours. At this rate
a) how many pens would one machine produce in one hour?
b) how many pens would 25 machines produce in 7 hours?
Answers
Answer:
12 and 2100
Step-by-step explanation:
(a)
Divide 4800 by 5 for pens per hour produced by 80 machines.
4800 ÷ 5 = 960 pens per hour
Divide 960 by 80 for pens per hour produced by 1 machine.
960 ÷ 80 = 12
Thus 1 machine produces 12 pens per hour
(b)
Multiply 12 by 7 for pens produce in 7 hours by 1 machine.
12 × 7 = 84 pens per hour
Multiply 84 by 25 for pens produced in 1 hour by 25 machines.
84 × 25 = 2100
Thus 2100 pens are produced by 25 machines in 1 hour
The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answers
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.
g(t)=-(t-1)^2+5
Over which interval does g have an average rate of change of zero?
Answers
Answer:
(0, 2)
Step-by-step explanation:
The graph of g(t)= -(t-1)^2+5 is an inverted parabola with vertex at (1, 5).
Making a table of t and g values would be helpful here:
t g(t) = -(t - 1)^2 + 5
------ -----
2 4
0 4
-1 1
1 5
We're looking for an interval on which the average rate of change is zero.
Note that this is the case on the interval (2, 4); g(0) = g(2) = 4, so the change in g is 4 - 4, or zero (0).
The average rate of change of [tex]g(t)=-(t-1)^2+5[/tex] is 0 in interval [tex]-1\leq t\leq 3[/tex].
Given,
[tex]g(t)=-(t-1)^2+5\\[/tex].
We have to find the interval in which [tex]g(t)=-(t-1)^2+5\\[/tex] have an average rate of change of zero.
We know that, the function [tex]f(x)[/tex] will have average range of 0 when [tex]f(b)=f(a)[/tex].
Now we calculate g(1), g(2),g(3) and g(-1),
[tex]g(1)=-(1-1)^2+5\\g(1)=5[/tex]
[tex]g(2)=-(2-1)^2+5\\g(2)=-1+5\\g(2)=4[/tex]
[tex]g(3)=-(3-1)^2+5\\g(3)=-4+5\\g(3)=1[/tex]
[tex]g(-1)=-(-1-1)^2+5\\g(-1)=-4+5\\g(-1)=1[/tex]
Since,
[tex]g(3)=g(-1)=1[/tex] so the function [tex]g(t)=-(t-1)^2+5\\[/tex] has an average rate of zero at [tex]-1\leq t\leq 3[/tex].
For more details follow the link:
https://brainly.com/question/2530409
While hovering near the top of a waterfall in a national park at 4096 feet, a helicopter pilot accidentally drops his sunglasses. The height h (t )of the sunglasses after t seconds is given by the polynomial function h (t )equals negative 16 t squared plus 4096. When will the sunglasses hit the ground?
Answers
Answer:
This means that the sunglasses will hit the ground after 16 secondsStep-by-step explanation:
Given the height h (t )of the sunglasses after t seconds modeled by the polynomial function h(t ) = -16t²+ 4096
Since the sunglasses hit the ground, the height of the glass on the ground will be 0feet. Substituting h(t)= 0 into the formula to know the time it takes the glass to hit the ground will give;
0 = -16t²+ 4096
0+16t² = 4096
16t² = 4096
Dividing both sides by 16;
16t²/16 = 4096/16
t² = 256
Taking the square root of both sides
√t² = √256
t = 16 seconds
This means that the sunglasses will hit the ground after 16 seconds
Solve the system of equations. y=x^2-5 y=2x+3
Answers
None of these answers work. I believe you recorded the equations incorrectly.
graph of the equations below
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answers
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Pleas answer this in two minutes
Answers
Answer: x=5, y=7
Step-by-step explanation:
Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.
y+14=3y [subtract both sides by y]
14=2y [divide both sides by 2]
y=7
------------------------------------------------------------------------------------
10x=x+45 [subtract both sides by x]
9x=45 [divide both sides by 9]
x=5
The vertex form of the equation of a parabola is y = = 6(x-2)²-8.
What is the standard form of the equation?
A. y = 12x2 - 6x + 8
B. y = 6x2 - - 24x + 16
c. y = 6x2 - 4x + 4
O D. y = 12x2 - 12x + 16
Answers
Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot
Answers
Answer:
27.2
Step-by-step explanation:
The mean age of 8 women in the office is 20 years old
The mean age of 12 men in an office is 32 years old
The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.
The mean of the women can be calculated by taking the sum of the value and dividing by the number
= 20+20+20+20+20+20+20+20/8
= 160/8
= 20
The mean of the men can be calculated by taking the sum of the values and dividing by the number
=32+32+32+32+32+32+32+32+32+32+32+32/12
= 384/12
= 32
Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office
= 384+160/20
= 544/20
= 27.2
Hence the mean age of people in the office is 27.2
If 40% of the total population of a particular town of 2500 are HIV positive. How many people are HIV negative.
Answers
Answer:
1500 people
Step-by-step explanation:
Since 40% are HIV positive (that's a lot of people), 60% will be HIV negative. All you have to do is find 60% of 2500.
60% of 2500 = 0.6 * 2500 = 6 * 250 = 1500
Hope this helps!
3. Find the cost of 1 km of pipe at 7 cents for every 40 cm.
Answers
Answer:
$175.
Step-by-step explanation:
There are 100 centimeters in meter and 1000 metres in a kilometer so we have 100,000 cm in a kilometer.
So the required cost
= 0.07 * 100,000 / 40
= 7000 / 40
= $175.
Answer:
Hello! :) The answer will be under “Explanation”
Step-by-step explanation:
As my answer I got $175
1km would equal to 100,000 cm
1m would be 100cm
That means 1 km = 100 000 cm
Now you have to divide.
100,000 divided by 40 equals to 2,500($0.07)
=$175
If we do the math correctly we can now see that the answer should be $175
Hope this helps! :)
By:BrainlyMember ^-^
Good luck!
The 10 students on the Deca Team were trying to decide in what order they should
sit on the bench during the session. In how many different ways can they arrange
themselves from left (next to the coach) to right at the end of the bench)?
Answers
Answer:
3628800
Step-by-step explanation:
10 students were trying to decide in how many ways they can arrange themselves from left to right.
There are 10 spaces and 10 students are to be sit.
Let us think of the first student.
10 empty spaces are there, so first student has 10 options.
Now, there are 9 empty spaces, so second student has 9 options.
Now, there are 8 empty spaces, so third student has 8 options.
Now, there are 7 empty spaces, so fourth student has 7 options.
:
:
Last student will have only 1 option.
So total number of ways [tex]= 10 \times 9 \times 8 \times 7 \times .....\times 1 = 3628800[/tex]
OR
Simply we can use the formula:
Number of ways to arrange n persons in a straight line = [tex]n![/tex] = [tex]10! = 3628800[/tex]