Answer:
98
Step-by-step explanation:
So we have the two functions:
[tex]g(x)=-2x-2\text{ and } r(x)=x^2-2[/tex]
And we want to find the value of r(g(4)).
To do so, first find the value of g(4):
[tex]g(x)=-2x-2\\g(4)=-2(4)-2\\[/tex]
Multiply:
[tex]g(4)=(-8)-2[/tex]
Subtract:
[tex]g(4)=-10[/tex]
Now, substitute this into r(g(4)):
[tex]r(g(4))\\=r(-10)[/tex]
And substitute this value into r(x):
[tex]r(-10)=(-10)^2-2[/tex]
Square:
[tex]r(-10)=100-2[/tex]
Subtract:
[tex]r(-10)=98[/tex]
Therefore:
[tex]r(-10)=r(g(4))=98[/tex]
Answer:
Step-by-step explanation:
Determine the value of x. 30° 45° 20° 60°
Answer:
x=30
Step-by-step explanation:
x+2x+3x=180
6x=180
x=180/6=30
a line is perpendicular to y=4x-2 and intersects the point (4,-11). what is the equation of this perpendicular line?
Answer:
y = -1/4x - 10
Step-by-step explanation:
Hey there!
Well to the slopes of 2 perpendicular lines are reciprocals of each other meaning if the line has a slope of 4 then it’s perpendicular line has a slope of -1/4.
Now to find the y intercept we need to graph,
y = -1/4x and point (4, -11)
Look at the image below.
By looking at the image below we can tell that in order for the perpendicular line to go through point (4,-11) it would be -10.
The equation is y = -1/4x - 10
Hope this helps :)
Flying against the wind, a jet travels 1650 miles in 3 hours. Flying with the wind, the same jet travels 3480 miles in 4 hours. What is the rate of the jet in still air and what is the rate of the wind?
Step-by-step explanation:
Let the rate of the plane be x
The rate of the wind be y
Against the wind
Resultant velocity = x-y
1650/3 = x - y
550 = x - y
With the wind
Resultant velocity = x + y
3480/4 = x + y
870 = x + y
Solve equation simultaneously
Add both equations
870+550 = x+y+x-y
1420 = 2x
x = 710
x + y = 870
y=870 - 710
y = 160
The rate of jet in still air = 710 mph
The rate of wind = 160 mph
HOPE IT HELPS!
PRETTY PLEASE MARK ME BRAINLIEST :-)
In an examination ,80%examines passed in english,70%In mathematics and 60% in both subjects.if 45 examines failed in both subject.
1.draw a venn-diagram to represent the above information .
2.find the number of examines who passed only one subject.
3.find the number of student who failed in mathematics.
Answer:
1. Please refer to attached diagram.
2. 135
3. 135
Step-by-step explanation:
Given that
80%examines passed in English, n(E) = 80%
70%In mathematics, n(M) = 70%
and 60% in both subjects, n(E [tex]\cap[/tex] M) = 60%
45 examines failed in both subject.
1. Venn Diagram is attached in the answer area.
One circle represents the pass examines in Maths and
Other circle represents the pass examines in English.
Rectangle represents the total number of examines that appeared for the exam.
Rectangle minus the area of union of circles represent the number of students who failed in both subjects.
2. To find the number of examines who passed in only one subject.
i.e. n(E) - n(E [tex]\cap[/tex] M) + n(M) - n(E [tex]\cap[/tex] M) = (80 - 60 + 70 - 60)% = 30%
Let us find the number of students who passed in atleast one subject:
[tex]n(E\cup M) = n(E) +n(M)-n(E \cap M)\\\Rightarrow n(E\cup M) = (80 +70-60)\% = \bold{90\%}[/tex]
So, number of students who failed in both subjects = 100 - 90% = 10% of total students = 45
So, total number of students appeared = 450
So, number of examines who passed in only one subject = 450 [tex]\times[/tex] 30% = 135
3. Number of students who failed in mathematics.
100% - Passed in Mathematics = 100% - 70% = 30% of 450 = 135
A bag contains white,blue and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bag.Find the new ratio of the balls.
Answer:
New ratio ( white,blue and red) = 6:1:2
Step-by-step explanation:
Given:
Old ratio ( white,blue and red) = 8:3:2
Number of red balls = 10
Removed balls = 10 white , 10 blue
Find:
New ratio ( white,blue and red)
Computation:
Assume total number of balls = x
So,
Number of total balls = 2x / 13 = 10
Number of total balls = 65
Number of white balls = 40
Number of blue balls = 15
So,
Number of new white balls = 40 - 10 = 30
Number of new blue balls = 15 - 10 = 5
New ratio ( white,blue and red) = 30 : 5 : 10
New ratio ( white,blue and red) = 6:1:2
The new ratio of the white, blue, and red balls is 6:1:2.
Given to usA bag contains white,blue, and red balls ratio8:3:2 and there are 10 red balls,if 10 white balls and 10 blue balls are removed from the bagPart 1The balls in the bag are in the ratio 8:3:2, therefore, the balls in the bags are,
white balls = 8x
blue balls = 3x
red balls = 2x =10,
Solving for red balls,
[tex]2x = 10\\x =\dfrac{10}{2}\\x = 5[/tex]
Now, substituting the value of x to know the numbers of balls are,
white balls = 8x
[tex]= 8 \times 5\\=40[/tex]
blue balls = 3x
[tex]= 3\times 5\\=15[/tex]
Part 2After removing, 10 white balls and 10 blue balls from the bag,
red balls = 10 balls
white balls = 40 balls - 10 balls = 30 balls
blue balls = 15 balls - 10 balls = 5 balls
Dividing all the number of balls by 5,
red balls = 10 balls
[tex]\dfrac{10\ balls}{5} = 2[/tex]
white balls = 30 balls
[tex]\dfrac{30\ balls}{5} = 6[/tex]
blue balls = 5 balls
[tex]\dfrac{5\ balls}{5} = 1[/tex]
Hence, the new ratio of the white, blue, and red balls is 6:1:2.
Learn more about Ratio:
https://brainly.com/question/1504221
If g(x) = (-2x²) - 3. Find g(0).
Answer:
-3
Step-by-step explanation:
When g(0), it means that x=0.
So, if we use 0 instead of x, the answer becomes:
-3
Answer:
-3
Step-by-step explanation:
g(0) = (-2(0)^2) -3
as anything multiplied with 0 is 0,
g(0) = 0 - 3
= - 3
Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole of the swing ride be?
Answer:
Step-by-step explanation:7.12 meters tall
Which of the following best represents the average rate at which the human hair grows (1 point)
a
0.25 inches per second
b
0.25 meters per hour
с
0.25 meter per month
d
0.25 inches per month
Answer:
D.0.25 inches per months
Step-by-step explanation:
The average rate or speed of human hair growth is about 0.25inches per month.
solve 2<2x+4<10 for x
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your inequality step-by-step.
[tex]2<2x+4<10[/tex]
[tex]2 + -4 < 2x + 4 + -4 < 10 + -4[/tex] (Add -4 to all parts)
[tex]-2 < 2x < 6[/tex]
[tex]\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}[/tex] (Divide all parts by 2)
[tex]-1 < x < 3[/tex]
So the answer is : [tex]-1 < x < 3[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
You work for a small business that sells bicycles, tricycles, and tandem bikes Bicycles have one sear, two pedals, and two wheels. Tricycles have one seat, two pedals, and three wheels. Tandem bikes have two seats, four pedals, and two wheels. 1. On Monday you counted 50 tricycle wheels. How many tricycles were in the shop? Write an algebraic equation that shows the relationship between the number of wheels (w) and the number of tricycles (t). 2. On Wednesday there were no tandem bikes in the shop. There were only bicycles, and tricycles. There are a total of 24 seats and 61 wheels in the shop. How many bicycles and how many tricycles are in the shop. Show how you figured it out using algebra. 3. A month later, there are a different number of bicycles, tricycles tandem bikes in the shop. There are a total of 144 front steering handlebars, 378 pedals and 320 wheels. How many bicycles, tricycles, and tandem bikes are in the show? Explain your solution.
Answer:
Step-by-step explanation:
1- on Monday the number of tricycles: 51/3=17 or 48/3=16 ( can't be 50)
2-the algebraic equation is : t=w/3 ( t=tricycle, w: wheels)
3-On Wednesday: (b for bicycle and t=tricycle)
2b+3t=61
b+t=24 ⇒ b=24-t
solve by substitution:
2(24-t)+3t=61
48-2t+3t=61
t=61-48 ⇒ t=11
solve for b=24-t
b=24-11=13
t=11, b=134)t: tricycles, b for bicycles, n for tandem
t+b+n=144 ( each has one handlebar)⇒ t=144-b-n
2t+2b+4n ( for the pedales)
3t+2b+2n=320 ( for wheels)
solve by matrix or substitution: substitute t in the equations:
2t+2b+4n =378
3t+2b+2n=320
2(144-b-n)+2b+4n=378 ⇒ 288-2b-2n+2b+4n=378
3(144-b-n)+2b+2n=320 ⇒432-3b-3n+2b+2n=320
288-2b-2n+2b+4n=378
432-3b-3n+2b+2n=320
2n=378-288 ⇒ n=90/2=45
-b-n=320-432
-b-45=-112
-b=-112+45 ⇒ b=67
t=144-45-67= 32
b=67 , tricycle= 32 tandom= 45( answers in bold )4x-8+9-6x=3x+6 cual es el valor de la x?
Answer:
El valor de x en esta ecuación es -1.
Step-by-step explanation:
4x - 8 + 9 - 6x = 3x + 6
En primer lugar, combinar términos similares en cada lado de la ecuación.
-2x + 1 = 3x + 6
A continuación, resta 3 veces en ambos lados de la ecuación.
-5x + 1 = 6
Ahora, resta 1 de ambos lados de la ecuación.
-5x = 5
Por último, divida por -5 en ambos lados de la ecuación.
x = -1
+
If the
sides of a triangles are
6, 8 and n. how
many integer values of n
could be the
measure of the
third side of the triangle?
Answer:
11
Step-by-step explanation:
The sum of the shortest two sides must be greater than the longest side.
If n is the longest side:
6 + 8 > n
14 > n
If 8 is the longest side:
6 + n > 8
n > 2
So n must be an integer greater than 2 and less than 14.
n can be 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, or 13.
There are 11 possible integers.
[tex] \LARGE{ \boxed{ \rm{ \purple{Answer}}}}[/tex]
We know,
Sum of two sides of a triangle > Third side
Then,
⇛ 6 + 8 > n
⇛ 14 > n
Nextly,
Difference of two sides of a triangle < Third side
Then,
⇛ 8 - 6 < n
⇛ 2 < n
Then, Range of third side:
☃️ 2 < n < 14
Possible measures of 3rd sides = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 or 13.
There are 11 possible values of 3rd side. Out of them, any measure is the length of 3rd side.
━━━━━━━━━━━━━━━━━━━━
What is the distance, in units, between the points [tex](2, -6)[/tex]and (-4, 3)? Express your answer in simplest radical form.
Answer: [tex]3\sqrt{13}[/tex]
Step-by-step explanation:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}[/tex]
[tex]=3\sqrt{13}[/tex]
Identify the domain of the function shown in the graph.
A. x is all numbers.
B. X20
O C. 0
D. x<0
Answer:
[tex]\boxed{ x \geq 0}[/tex]
Step-by-step explanation:
Hey there!
Well we can cross out A. x is all real numbers because,
it’s not it only has all the positive numbers.
B. Is correct because the domain is every number greater than or equal to 0.
x ≥ 0
Hope this helps :)
The domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
A function is shown in the graph which is plotted on the two-dimensional coordinate plane.
From the graph, we can see the graph of a function exists in the first quadrant only and it is increasing.
The interval in which the graph exists is [0, ∞)
or
The domain of a graph of a function is:
x ≥ 0
Thus, the domain of the graph of a function is x ∈ [0, ∞) or x ≥ 0 option (B) x ≥ 0 is correct.
Learn more about the function here:
brainly.com/question/5245372
#SPJ5
Teenagers tend to ride skateboards and bicycles is order to get around the town.the probability of a teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a teenager is chosen at random, the probability that the teenager owns a skateboard or a bicycle is
Answer: 0.82
Step-by-step explanation:
Given : P(own skateboard) =0.37
P( own bicycle) =0.81
P(own skateboard and bicycle) = 0.36
Since, P(A or B) =P(A)+P(B)-P(A and B)
So, P(own skateboard or bicycle) = P(own skateboard) + P( own bicycle)-P(own skateboard and bicycle)
= 0.37 + 0.81 - 0.36
= 0.82
Hence, the probability that the teenager owns a skateboard or a bicycle is 0.82.
An octagonal pyramid ... how many faces does it have, how many vertices and how many edges? A triangular prism ... how many faces does it have, how many vertices and how many edges? a triangular pyramid ... how many faces does it have, how many vertices and how many edges?
1: 8 faces and 9 with the base 9 vertices and 16 edges
2: 3 faces and 5 with the bases 6 vertices and 9 edges
3: 3 faces and 4 with the base 4 vertices and 6 edges
Hope this can help you.
Answer:
octagonal: 8 faces, 16 edges, 9 verticestriangular pyramid: 3 faces, 6 edges, 4 verticestriangular prism: 3 faces, 9 edges, 6 verticesStep-by-step explanation:
A pyramid has twice as many edges as faces, and 1 more vertex than faces.
Octa- means 8.
Tri- means 3.
a) An octagonal pyramid has 8 faces, 16 edges, and 9 vertices.
b) A triangular pyramid has 3 faces, 6 edges, and 4 vertices.
__
A triangular prism will have 3 additional edges for the second "base", and 2 additional vertices.
c) A triangular prism has 3 faces, 9 edges, and 6 vertices.
__
Additional comments
We have not counted the base as a "face." We have only counted those that meet at the point of the pyramid.
There are as many vertices on the base as there are faces, and there is one more vertex where all the faces meet.
There is one edge at the base for each face, and there is one edge from the base vertex to the point of the pyramid for each face--a total of two edges per face.
__
A triangular pyramid is shown in the attachment.
Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge's relatives,as compared to his classmates, like salsa music?
Answer:
6 more
Step-by-step explanation:
Find 56% of 75 first
75/x=100/56
(75/x)*x=(100/56)*x
75=1.78571428571*x
(1.78571428571) to get x
75/1.78571428571=x
42=x
x=42
Then Find 80% of 60
60/x=100/80
(60/x)*x=(100/80)*x
60=1.25*x
60/1.25=x
48=x
x=48
Subtract 48 by 42
=6
nine hundred fifty-three thousand nine hundred two
Answer:
953 902
Step-by-step explanation:
Answer:
953,902
Step-by-step explanation:
nine hundred =900
fifty-three=53
thousand=1000
nine hundred=900
two=2
Se repartió una suma de dinero entre tres personas; la segunda recibió x pesos mas que la primera, la tercera b pesos más que la segunda. Expresa la suma repartida, siendo t la parte de la primera.
Answer:
3t + 2x + b
Step-by-step explanation:
primera: t
segunda: t + x
tercera: t + x + b
suma: t + t + x + t + x + b = 3t + 2x + b
standard form of 6,32,94,000
Answer:
6.3294✖️10^7
Step-by-step explanation:
To find the statdard form, you place the decimal after the largest unit, int his case 6.
Then you write down all the numbers except for "0".
This becomes:
6.3294
Then, you add the multiplying sign, and count how many digits are there after 6, and in this case, there are 7, so you add the power "7" after 10.
6.3294✖️10^7
Hope this helped!
Have a nice day:)
X(X + 8) = 9
Algebra 2
Answer:
x = -9, 1
Step-by-step explanation:
x (x + 8 )= 9
x^2 + 8x = 9
x^2 + 8x - 9 = 0
(x + 9)(x - 1) = 0
x = -9, 1
Hope this helps!
Answer:
x = 3 and x = 0
Step-by-step explanation:
A way to solve is simplifying the given equation:
X^2 + 8x = 9
So
x = 3 and x = 0
3^2 + 8(0) = 9
9 + 0 = 9
9 = 9
68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
and the height is 12 in. The formula for the volume of a cylinder is V = yrah. Use the Te key on your calculator.
Answer:
V = 300[tex]\pi[/tex] in³ or 942.48 in³
Step-by-step explanation:
Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.
Plug in the values and solve:
V = [tex]\pi[/tex](5²)(12)
V = 300[tex]\pi[/tex] in³ or 942.48 in³
London answered 20 questions correctly on her multiple choice history final that had a total of 80 problems. What percentage of questions did London answer correctly on the final exam?
Answer:
25%
Step-by-step explanation:
correct/total
20/80
1/4
Changing to a decimal
.25
.25*100%
25%
Answer:
1/4 or 25%
Step-by-step explanation:
1). 20 / 80 = 1 / 4 = 25 %
Hope this helps
3
4
x
+
6
=
1
+
1
3
x
Answer:
[tex]\boxed{x = -5/21}[/tex]
Step-by-step explanation:
Hey there!
To simplify we need to combine like terms and use the communicative property,
34x + 6 = 1 + 13x
-13x to both sides
21x + 6 = 1
-6 to both sides
21x = -5
Divide both sides by 21
x = -5/21
Hope this helps :)
Answer: I'm guessing you need me to solve this for you.
I interpreted the equation this way: 34x + 6 = 1 + 13x
The solution is -5/21.
Step-by-step explanation:
34x + 6 = 1 + 13x
Step 1: Simplify both sides of the equation.
34x + 6 = 13x + 1
Step 2: Subtract 13x from both sides.
34x + 6 − 13x = 13x + 1 − 13x
21x + 6 = 1
Step 3: Subtract 6 from both sides.
21x + 6 − 6 = 1 − 6
21x = − 5
Step 4: Divide both sides by 21.
21x/21 = -5/21
x = -5/21
Hope this helped you!
Let f(x) = x2 − 8x + 5. Find f(−1)
Answer:
14
Step-by-step explanation:
[tex]f(x)=x^2-8x+5[/tex]
now substitute x for -1
[tex]f(-1)=(-1)^2-8(-1)+5[/tex]
now solve
[tex]f(-1)=1+8+5[/tex]
[tex]f(-1)=14[/tex]
there is your answer! hope this helps! :)
A train covered a certain distance at a uniform speed. If the train would have been 6km/h faster, it would have taken 4 hours less than the scheduled time. And, if the train were slower by 6km/h, it would have taken 6 hours more than the scheduled time. Find the length of the journey.
Answer:Let x km/hr be the speed of train
Let y be the time taken by the train
Distance = speed x time
= x y
To form the first equation let us consider the given information from the question that is If the train had been 6 km/hr faster,it would have taken 4 hours less than the scheduled time.
it clearly says that speed is increased by 6 and time is reduced by 4
So , (x + 6) (y - 4) = x y
x y - 4 x + 6 y - 24 = x y
x y - x y - 4 x + 6 y = 24
- 4 x + 6 y = 24
divided by (-2) => 2 x - 3 y = -12 ----- (1)
To form the second equation let us consider the given information from the question that is If the train were slower by 6km/hr, then it would have taken 6 hours more than the scheduled time.
it clearly says that speed is reduced by 6 and time is increased by 6
So , (x - 6) (y + 6) = x y
x y + 6 x - 6 y - 36 = x y
x y - x y + 6 x - 6 y = 36
6 x - 6 y = 36
divided by (6) => x - y = 6 ----- (2)
2 x - 3 y = -12
(2) x 2 => 2 x - 2 y = 12
(-) (+) (-)
---------------
- y = -24
y = 24
Now we have to apply the value of y in the first equation to get value of x
Substitute y = 24 in the first equation we get
2 x - 3 (24) = -12
2 x - 72 = -12
2 x = -12 + 72
2 x = 60
x = 60/2
x = 30
Speed of the train = 30 km/hr
Time taken by the train = 24 hours
Distance covered by the train = x y = 30 x 24 = 720 km
Verification:
2 x – 3 y = -12
2(30) - 3(24) = -12
60 - 72 = -12
-12 = -12
Find the vertex of the parabola.
f (x) = x squared minus 6 x + 13
a.
( 4, 0)
c.
( 3, 4)
b.
(0, 3)
d.
( 4, 3)
Answer:
The vertex is (3,4)
Step-by-step explanation:
f (x) = x^2 - 6 x + 13
Completing the square
-6/2 = -3 and squaring it = 9
= x^2 -6x +9 +4
= ( x-3) ^2 +4
The equation is now in vertex form
a( x-h) ^2 +k
where the vertex is ( h,k)
The vertex is (3,4)
Answer:
C on edge
Step-by-step explanation:
A ship travels a distance of 700 km. On the return trip it averages 10km/hr faster and 8 hours less, tp travel the 700km back. Determine how long the original part of the trip took in hours
Answer:
The total duration of the trip is 48 hours.
Step-by-step explanation:
Let suppose that ship travels at constant speed during its travel. Each stage is represented by the following kinematic equation:
[tex]v =\frac{\Delta s}{\Delta t}[/tex]
Where:
[tex]\Delta s[/tex] - Travelled distance, measured in kilometers.
[tex]\Delta t[/tex] - Time, measured in hours.
[tex]v[/tex] - Speed, measured in kilometers per hour.
Now, each stage is represented by the following expressions:
Outbound trip
[tex]v = \frac{700\,km}{\Delta t}[/tex]
Return trip
[tex]v + 10\,\frac{km}{h} = \frac{700\,kh}{\Delta t - 8\,h}[/tex]
By eliminating [tex]v[/tex] and simplifying the resulting expression algebraically:
[tex]\frac{700\,km}{\Delta t} + 10\,\frac{km}{h} = \frac{700\,km}{\Delta t -8\,h}[/tex]
[tex](700\,km)\cdot \left(\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} \right) = 10\,\frac{km}{h}[/tex]
[tex]\frac{1}{\Delta t - 8\,h}-\frac{1}{\Delta t} = \frac{1}{70}\,\frac{1}{h}[/tex]
[tex]\frac{8\,h}{\Delta t \cdot (\Delta t-8\,h)} = \frac{1}{70}\,\frac{1}{h}[/tex]
[tex]560\,h^{2} = \Delta t\cdot (\Delta t - 8\,h)[/tex]
[tex](\Delta t )^{2}-8\cdot \Delta t - 560 = 0[/tex]
This equation can be solved by means of the Quadratic Formula, whose roots are presented below:
[tex]\Delta t_{1} = 28\,h[/tex] and [tex]\Delta t_{2} = -20\,h[/tex]
Only the first roots offers a physically resonable solution. Then, total duration of the trip is:
[tex]t_{T} = 28\,h +20\,h[/tex]
[tex]t_{T} = 48\,h[/tex]
The total duration of the trip is 48 hours.
What is the rate of change of the function? On a coordinate plane, a line with negative slope goes through points (0, 1) and (1, negative 1). –2 Negative one-half One-half 2 Mark this and return
Answer:
-2
Step-by-step explanation:
slope: (y² - y¹) / (x² - x¹)
(-1 - 1) / (1 - 0) = -2 / 1 = -2
y = -2x + b
plug in an (x, y) value to find b
1 = -2(0) + b
1 = -2 + b
b = 3
y = -2x + 3
rate of change is -2
Answer:
-2
Step-by-step explanation:
Please answer this question now
Answer:
Approximately 439.6 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cone is the following:
[tex]A=\pi r^2+\pi r l[/tex]
Where, r is the radius and l is the slant height.
The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:
[tex]A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6[/tex]
Answer:
292.77
Step-by-step explanation:
πr(r+[tex]\sqrt{h2+r2}[/tex])
13 x 2 = 26
7 x 2 = 14
26 + 14 = 40
[tex]\sqrt{40}[/tex] = 6.32
7 + 6.32 = 13.32
3.14 x 7 = 21.98
21.98 x 13.32 =
292.77