Answer:
16km/h
Step-by-step explanation:
average speed = total distance traveled / total time taken
30 min = 0.5 h
8/0.5 = 16km/h
A cable company technician gave 3:00PM to 7:00PM as his arrival time. The arrival time is uniformly distributed. What is the probability that he arrives exactly at 4:00PM
The probability that the technician arrives exactly at 4:00 pm is 1/5.
What is probability?Probability is the chance of occurring a certain event out of the total no. of events that can occur in a given context. The probability of an event is always greater than equal to zero and less than equal to one.
If we distribute arrival time uniformly in terms of hours the no. of sample space N(s) = 5. (3:00pm, 4:00pm, 5:00pm, 6:00pm, 7:00pm).
∴ The probability that he arrives exactly at 4:00 pm is,
= 1/5.
The probability of arriving at 4:00 pm is 1/5.
learn more about probability here :
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The endpoints of a side of rectangle ABCD in the coordinate plane are at A(3,5) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is AB.
The equation is y =
Step-by-step explanation:
the equation is
y = ax + b
a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.
so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).
so the slope is -4/2 = -2
now or equation looks like
y = -2x + b
to get b we use one of the points in the equation. e.g. B
1 = -2×5 + b = -10 + b
b = 11
so, our full equation is
y = -2x + 11
Match each ecosystem role with the correct description.
1. break down dead material
predator
2. make food for ecosystem
decomposer
3. eat food made by others
producer
4. hunt and eat other consumers
consumer
A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?
Answer:
660.4 mm
Step-by-step explanation:
Since 1 inch is equal to 25.4 millimeters, we can multiply 25.4 by 26 to see how many millimeters 26 inches is. You can also think of this as a proportion:
26:x = 1:25.4
26.4 times 26 is equivalent to 660.4, so we can conclude that 26 inches are equivalent to 660.4 millimeters.
If you have any further questions or need clarification on anything, let me know!
Find the distance between the points (-5,4) and (0,-5)
Answer:
[tex]5 \sqrt{2} [/tex]
A/4 -5/6= -1/2
Pls help I don’t know this
Step-by-step explanation:
[tex] \frac{a}{4} - 1 \times \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} - \frac{5}{6} = \frac{ - 1}{2} \\ \\ \frac{a}{4} + \frac{4( \frac{ - 5}{6}) }{4} = \frac{ - 1}{2} \\ \\ \frac{a + 4( - \frac{5}{6}) }{4} = \frac{ - 1}{2} [/tex]
α = 4/3
i hope this help ^^
If f(x) = 2x and g(x) = 5x + 2, what is (f • g)(x) when x = 3?
Answer:
f×g=
[tex] = 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102[/tex]
2[x-3]+1=7.
Help me pls
Answer:
[tex]2(x - 3) + 1 = 7 \\ 2(x - 3) = 7 - 1 \\ 2x - 2 \times 3 = 6 \\ 2x - 6 = 6 \\ 2x = 6 + 6 \\ 2x = 12 \\ x = \frac{12}{2} = 6 \\ x = 6 \\ thank \: you[/tex]
Answer:
here,
2[x-3]+1=7
or, 2x-6=7-1
or,2x=6+6
or,x=12/2
hence the value of x =6
Write 34/9 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.
Answer:
The decimal form of this fraction is 3.7 repeating.
Answer:
3.777...
Step-by-step explanation:
There is still controversy about whether or not Pluto should be considered a planet. Although planets are mainly defined by their orbital path (the condition that prevented Pluto from remaining a planet), the issue of size is something to consider. The table below lists the planets, including Pluto, and their approximate diameters in meters.
Planet Approximate Diameter (m)
Mercury 4.88 × 10^6
Venus 1.21 × 10^7
Earth 1.28 × 10^7
Mars 6.79 × 10^6
Jupiter 1.43 × 10^8
Saturn 1.2 × 10^8
Uranus 5.12 × 10^7
Neptune 4.96 × 10^7
Pluto 2.3 × 10^6
a. Name the planets (including Pluto) in order from smallest to largest.
b. Comparing only diameters, about how many times larger is Jupiter than Pluto?
9514 1404 393
Answer:
a) Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter
b) 62
Step-by-step explanation:
When all the numbers are in scientific notation, as these are, the numbers with the smallest exponent are smaller. If numbers have the same exponent, the number with the smaller mantissa is smaller.
a) least-to-greatest diameter, the order is ...
Pluto, Mercury, Mars, Venus, Earth, Neptune, Uranus, Saturn, Jupiter
__
b) The ratio of diameters of Jupiter and Pluto is ...
(1.43×10^8)/(2.3×10^6) = 6.2×10^1 = 62
Jupiter's diameter is about 62 times that of Pluto.
_____
Additional comment
Your calculator or spreadsheet can work directly with numbers in scientific notation.
Whoever answers get 108 points!
Write a 5 sentence Summary:
Describe the transformation that exist a negative is multiplied outside of the function.
Answer:
The negative sign outside the absolute value function causes a few different things when multiplied. When a negative is multiplied outside of the function, the transformation that exists will be a vertical reflection. A horizontal shift to the left 1 unit will happen because of g(x)=f(x+1). The graph will make a vertical shift down 2 units because of g(x)=f(x)−2. The value of (a) would be -1 and since it is less than 1, and it causes the graph to be wider because of vertical compression. Placing a minus sign outside absolute value bars gives you a negative result.
I hope this is what you were looking for and I hope it helps also you might need to recheck your answers on your paper. I will add a picture of my findings. Good Luck!
given l is parallel to m, find the measure of angle ptu
Answer:
Angle ptu = 116°as line L is parallel to m
angle pqt = 89° ( vertically opposite angle)
angle tpq = 3x° ( vertically opposite angles).
in triangle pqt
angle p + angle q + angle t = 180° (angle sum proper of a triangle)
Let the unknown angle ptq be X
3x + 89 + X = 180°
3x + x + 89 = 180
4x + 89 = 180
4x = 180 - 89
4x = 91
x = 27°
angle u = 89° ( corresponding angles)
angle ptu = 89 + 27
= 116°
Need HELP ASAP WILL GIVE CROWN
Answer:
Step-by-step explanation:
2(-3/5) = -6/5. (2)*(-3) = - 6/5
- 6/5 - 1/3 = 23/15. (Common denominator = 15)
6/15 - 5/15 = - 23/15
(- 23/15) / ( -6.75 / 15) = 92/27 = 3 11/27
Q2.
Circle all the numbers that are greater than 0.6
0.5
0.8
0.23
0.09
0.67
Answer:
all but 0.5
Step-by-step explanation:
thus answer should be right
please help me asappp! I'll give brainlest and points!
Answer:
1) true
2)true
3)false
4)true
5)true
6) false
7))true
8)true
9)false
10)false.
11)false
12)true
Answer:
1-True
2-True
3-False
4-True
5-True
6-False
7-True
8-True
9-False
10-False
11-False
12-True
The Robinsons order pizza for dinner. Their pizza costs $12.99. The tax in their city is 7% and they want to tip their delivery driver 15%. What is their total cost for the pizza? The tip should be based on the price BEFORE tax. Round to the nearest cent.
A.$20.14
B.$13.21
C.$11.81
D.$15.85
Sorry I for got the img
Answer:
1)3.87
2)6.63
3)9
Step-by-step explanation:
Plz help! Solve systems of Equations by substitution
y = 6x -11
-2x - 3y = -7
Answer:
x = 2
y = 1
Step-by-step explanation:
1) Re-arrange
(Solving for y)
-2x -3y = -7 --> x3
6x - y = 11 --> x1
-6x -9y = -21
6x -y = 11
-9y = -21
-y = 11
(-9y + -y) = (-21 + 11)
-10y = -10
y = -10/-10
y = 1
2) Substitute
6x - 1 = 11
6x = 11 + 1
6x = 12
x = 12/6
x = 2
Answer: x = 2, y = 1
Step-by-step explanation:
Rearrange the second equation so it just works a little easier for you:
-2x - 3y = -7
rearranged to make y (with its constant) the subject:
3y = 7 - 2x
So we know what y equals. The question tells us y = 6x - 11. So substitute those values into the rearranged equation.
3y = 7 - 2x becomes:
3(6x - 11) = 7 - 2x
because as stated in the question, y = 3x - 11.
Expand the brackets on the left-hand side:
18x - 33 = 7 - 2x
Rearrange to collect like terms:
18x = 7 + 33 - 2x
18x = 40 - 2x
18x + 2x = 40
20x = 40
x = 40/20
x = 2.
So now we know the value of x.
Let's input our new found value of x into one of the given equations, such as y = 6x - 11.
y = (6 * 2) - 11
y = 12 - 11
y = 1.
So y = 1.
You can test this by inputting these values into the other equation, for assurance.
-2x - 3y = -7 becomes:
(-2 * 2) - (3 * 1) = -7
(-4) - 3 = -7
-7 = -7
Drag and Drop question, please help!
0 hours
1/2 hours
1/2 hours
what is 1/3 as a present
Herbert was given a pocket watch bass grandfather. The value of the watch, for any given year, t, from the time Herbert received it is modeled by the function f(t) = 150(1.35)^t. He was also given a classic guitar. It's value for any given year is modeled by the function represents in the table:
t: 0, 1, 2, 3, 4
g(t): 175 210, 252, 302.40, 362.88
What is the positive difference in values of the items in the sixth year?
A.) $385.57
B.) $472.66
C.) $835.54
D.) 893.60
Answer:
the answer is A
Step-by-step explanation:
I took the test
In 1 h the minute hand on a clock moves through a complete circle, and the hour hand moves through 1/12
of a circle.Through how many radians do the minute hand and the hour hand move between 1:00 p.m. and 6:45 p.m. (on the same day)?
9514 1404 393
Answer:
12 11/24 radians (combined angular motion)
Step-by-step explanation:
In one hour, the combined angular motion is ...
(2π)(1 +1/12) = 13π/6 radians
Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...
(23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians
_____
Additional comment
Maybe you're asking for the separate motions.
minute hand: 2π×5.75 = 11.5π radians
hour hand: (π/6)×5.75 = 23π/24 radians
jeff is playing a new video game the goal is to explore a cave with many levels and collect gold coins in order to get through a door to the next level you must master a secret code jeff's video character has 4 pockets on his jacket the top left pocket is marked with 3/4 the top right is marked 5/15 the lower left pocket is 8 /12 and the lower right pocket is 9/12
Above the cave door at each level is a number card to open the door he must take the number card form the door and put it in the correct pocket if he puts it in the wrong pocket he loses one of his 3 lives number are 6/8 4/8 6/9 16/32 21/28 12/18 6/12 6/18
I don’t understand and is due at 11:59
This is balanced. True or false?
Answer:
Step-by-step explanation:
Yes it’s balance
Erin bought one video tape for 19.95 and rented one for 4.29 the tax is 1.45 Erin gave the cashier 30$ how much change should she get
Answer:
25.69
Step-by-step explanation:
I think
Answer:
$4.31
Step-by-step explanation:
$30 - $25.69 = $4.31
My question is this.
Answer:
5/x3
Step-by-step explanation:
just calculated it
Donna has d dimes and a quarters in her bank. How much money in cents does she have
A local hamburger shop sold a combined total of 719 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
ü hamburgers
х
5
?
If there are 4 quarters in one dollar, how many quarters are in five dollars
20 Quarters
If each dollar has 4 quarters and your finding the amount for 5 dollars then multiply 4 by 5 to get 20 quarters total