Answer:
[tex]y = 40\cdot k[/tex]
Step-by-step explanation:
Let suppose that each bus has the same capacity and exists a direct proportionality between the amount of people that is transported and the number of buses:
[tex]y \propto x[/tex]
[tex]y = k \cdot x[/tex]
Where [tex]k[/tex] is the proportionality constant, which is equivalent to the maximum capacity of each bus. In that case, the quantity of people that is transported on 40 buses is:
[tex]y = 40\cdot k[/tex]
Answer:
The first answer is ''y=45 x''
1800 people for the second one
Two children are playing a code-breaking game. One child makes a sequence of three colors from red, yellow, blue, and purple. The other child must guess the sequence of colors in the correct order. Once one color is used, it cannot be repeated in the sequence.
What is the probability that the sequence is guessed on the first try?
StartFraction 1 Over 24 EndFraction
One-eighth
One-fourth
One-third
Answer:
1/24
Step-by-step explanation:
i just took it
The probability that the sequence is guessed on the first try is 1/24.
ProbabilityTotal colors available for making code=4
Colors required for making code=3
Hence:
Total ways of making code=4p3=4!/(4-3)!
=4×3×2×1/1
=24
Probability that the sequence is guessed on the first try=1/Total ways of making code
Probability that the sequence is guessed on the first try=1/24
Therefore the correct option is A.
Learn more about probability here:https://brainly.com/question/24756209
#SPJ9
30 POINTS!!! NEED HELP!!!!
Write the expansion for the series described by the summation notation. *
Captionless Image
a) 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100+ 121 + 144
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
c) 16 + 9 + 5 + 0 + 1 + 4 + 25 + 25 + 36 + 49 + 64 + 81 + 100 + 121
d) None of the above
Answer:
b) 16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121
Step-by-step explanation:
[tex] \Sigma_{k=1}^{16} (k - 5)^2 \\
= (1- 5)^2 + (2- 5)^2 + (3- 5)^2 + \\ (4- 5)^2 + (5- 5)^2 + (6- 5)^2 \\+ (7- 5)^2 + (8- 5)^2 + (9- 5)^2 \\+ (10- 5)^2 + (11- 5)^2 + (12- 5)^2 \\+ (13- 5)^2 + (14- 5)^2 + (15- 5)^2\\ + (16- 5)^2 \\\\
=(-4)^2 + (-3)^2 + (-2)^2 + (-1)^2 + (0)^2 \\+ (1)^2 + (2)^2 + (3)^2 + (4)^2 + (5)^2 \\+ (6)^2 + (7)^2 + (8)^2 + (9)^2 + (10)^2 + \\ (11)^2 \\\\
=16 + 9 + 4 + 1 + 0 + 1 + 4 + 9 + 16 + 25 \\+ 36 + 49+ 64 + 81 + 100 + 121[/tex]
Please help. I also will post another question I need help with. Thank you if you help.
Geometric progression, first term 5, common ratio 3.
Answer: 5, 15, 45, 135
Traci tries to teach her younger sister how to draw a rectangle. Traci tells her." Draw a shape with four straight sides." Traci sister draws the shape shown. The drawing of the shape includes 4 straight sides, but it is not a rectangle. How can Traci make her directions more clear?
Answer:
Traci could say draw 2 long parellel sides one on top of another. Then draw 2 smaller sides to connect the long sides.
Step-by-step explanation:
The frame of the given window is made
of a rectangle with semi-circular top.
Find its perimeter and area.
2.1 m
1.4 m
Answer:
3.7096902=area
Step-by-step explanation:
2.1x1.4=2.94m^2
2.94+(.5pi(.7^2))
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
(4x2 - 10x + 9) + (6x - 2) =
A) 4x2 - 4x + 7
B) 4x2 - 4x + 11
C) 4x2 - 16x - 7
D) 4x2 - 16x + 11
Answer:
4x^2−4x+7
Step-by-step explanation:
Let's simplify step-by-step.
4x^2−10x+9+6x−2
=4x^2+−10x+9+6x+−2
Combine Like Terms:
=4x^2+−10x+9+6x+−2
=(4x^2)+(−10x+6x)+(9+−2)
=4x^2+−4x+7
Answer:
=4x^2−4x+7
Answer:
A
Step-by-step explanation:
Sorin hits a cricket ball straight up into the air. After 1.5s, the ball is falling straight down with a speed of 6.5 m/s. We want to find the initial vertical velocity of the ball. We can ignore air resistance. Which kinematic formula would be most useful to solve for the target unknown?
Step-by-step explanation:
We have, Sorin hits a cricket ball straight up into the air. After 1.5 s, the ball is falling straight down with a speed of 6.5 m/s.
We want to find the initial vertical velocity of the ball.
The relation between initial speed, final speed, acceleration and time is given by using first equation of kinematics. Let v₀ is the initial speed. So,
[tex]v=v_o +at[/tex]
Here, v = -6.5 m/s, t = 1.5 s and a = -g
[tex]v_o=v-at\\\\v_o=v+gt\\\\v_o=-6.5+9.8\times 1.5\\\\v_o=8.2\ m/s[/tex]
So, the initial velocity of the ball is 8.2 m/s and the formula used is (1).
What term must we add to complete the square on x^2 + 12x
Answer:
Step-by-step explanation:
You need to first find what x equals before you can solve the equation.
Answer:
36
Step-by-step explanation:
x^2+2xy+y^2
12x/2x=6=y
y^2=36
The point-slope form of a line that has a slope of
and passes through the point (3, 0) is shown.
y -0 =3(2-3)
What is the equation in slope-intercept form?
A. y=1/4x-3
B. y=1/4x3/4
C. y=3/4x-1/4
D. y=1/4x-1/12
HELPP MEE FASTT I HAVE LESS THAN 10 MIN
Farrah borrowed $155 from her brother. She has already paid back $15. She plans to pay back $35 each month until the debt is paid off.
Which describes the number of months it will take to pay off the debt? Select three options.
x + 15 + 35 = 155
35 x + 15 = 155
35 x = 155 minus 15
It will take 8 months to pay off the debt.
It will take 4 months to pay off the debt.
Answer:
35x + 15 = 155
35x = 155 minus 15
it will take 4 months to pay off the debt.
Hope this helps. Mark brainliest please!
Answer:
35x + 15 = 155
35x = 155 - 15
It will take 4 months to pay off debt
Step-by-step explanation:
Its mental so idk but trust me <3
Easy 6th grade question please mark Brainliest and give extra points
Question The The point (0,1)
(
0
,
1
)
is reflected over the x- axis. What are the coordinates of the resulting point?
Answer:
it would be the same since its ON the x-axis ( the point does not change)
Step-by-step explanation:
If a right triangle is rotated around one of its legs for 360 degrees, what three dimensional shape is produced?
Answer:
The shape of a cone
Step-by-step explanation:
If we rotate the right triangle for 360 degrees around one leg, we will have a shape of a cone (a conical shape).
the leg we choose to rotate around will be the height of the cone.
The other leg will be the radius of the cone's base.
And the hypotenusa of the right triangle will be the slant height of the cone.
Jason runs 440 yards in 75 seconds.at this rate,how many minutes does it take him to run a mile
Answer:
5 minutes
Step-by-step explanation:
Do a proportion
440/75= 1760/x
cross multiply
440x=1760(75)
simplify
132000/440
Thank you so very much for helping
Answer:
Angle 2
Step-by-step explanation:
They are 90 degrees when added together
Answer:
<2
Step-by-step explanation:
Complementary angles add to 90 degrees ( form right angles)
<1 and <2 add to 90 degrees so they are complementary angles
Derive x and y values from given equations solve for x and y. 6x-2y=8 -6x+5y=7
Answer:
6x -2y = 8
-6x+5y = 7
3y = 15
y = 5
6x - 2(5) = 8
6x - 10 = 8
6x = 18
x = 3
(3, 5)
Step-by-step explanation:
evaluate the following function is f(x)=3x-2 and g(x)=5x+1 what is -2•f(4)+3•g(1)
Answer:
work is shown and pictured
how do you write 2x - 2y = 8 in slope-intercept form ?
Answer:
y=x-4
Step-by-step explanation:
The general scaffold for the slope intercept form is y=mx+b, where m is the slope and b is the y intercept. You can rearrange the equation that you are given like this:
2x-2y=8
-2y=-2x+8
y=x-4
Hope this helps!
Answer:
Rearrange the equation so that it is written in slope intercept form:
y=mx+b.
2x+2y=8.
2y=−2x+8.
y=−x+4.
Find the volume of a pyramid with a square base, where the area of the base is
8.7 m and the height of the pyramid is 10 m. Round your answer to the nearest
tenth of a cubic meter.
Answer: 29.0
Step-by-step explanation:
The volume of a pyramid is equal to l*w*h/ 3 and we know that the length times the width is the same as the base.
so we will multiply 8.7 * 10= 87 /3= 29
Volume = 87 m³
You need to multiply the area and the height to find the volume. If you have the length, width, and height, then you need to multiply and 3 and divide it by 3. Hope I helped :)
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
help please! ill mark brainliest
Answer:
A=150ft^2
Step-by-step explanation:
A=(b1+b2)/2*h
A=(15+10)/2*12
A=25/2*12
A=25*6
A=150ft^2
Area of trapezoid formula: A = h(b1+b2/2)
A = 12(10+15/2)
A = 12(25/2)
A = 12(12.5)
A = 150
Therefore, the area of the trapezoid is 150ft²
Best of Luck!
a1 = 92 cm
b1 = 66.7 cm
a2 = 38 cm
b2 = 53.42 cm
h = 52 cm
Answer:
area=250.12. perimeter=3380
Step-by-step explanation:
out of 17,21,14,17,12,15,16 what is the mean?
Answer:
mean is 16
Step-by-step explanation:
to find the mean of the data set u add up all the numbers and then u see how many number there are in total and u divided the solution of the sum and divided it by the total number of numbers.
17+21+14+17+12+15+16 = 112
then u see how many number there are and there are 7
112/7= 16
Solve the equation.
29= p x 20
p= __
Answer:
1.45
Step-by-step explanation:
1. divide both sides of the equation by 20 to get rid of the 2o on the right side
[tex]\frac{29}{20}[/tex]= p x [tex]\frac{20}{20}[/tex]
now u end up with 1.45=p
hope it helped
a trapezoid has bases that measure 9cm and 5 cm. the height of the figure is 4cm. what is the area of the trapezoid
Answer:
28cm^2
Step-by-step explanation:
The area of a trapezoid is the bases added divided by two times the height.
(9+5)/2*4=7*4=28
28cm^2
Please help!!!! AWARDING BRAINLIEST!!
A university lecturer has an annual salary of $60000. If this increases by 2% of the previous year each year, what will her salary be after 10 years.
Answer:
73,139.67
Step-by-step explanation:
A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00
Answer:
You will get $3 back
mark me as brainliest pls
Step-by-step explanation:
$25 times 8%= 2
25+2=27
30-27=3
Answer:
$3
Step-by-step explanation:
25*.08=2
25+2=27
30-27=3
If angle AOC = 40 degrees, how many degrees is angle ABC?
80........................
which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
