Answer:
the answer is 3.9 km/h southeast
Two laboratory technicians are running product quality tests. One technician takes 6 minutes less than the
other. What equation would give the amount of time, t, it would take to run the tests if the technicians work
together to split the work on the different tests?
Answer:
The time it will take will be ;
t = (2x -6)/(x^2-6x)
Where x is the amount of time
in minutes taken by the technician who is slower
Step-by-step explanation:
We want to write the time it would take to run the tests if the technicians work together.
Let the time taken by the first technician be x minutes
The time that would. taken by the second is 6 minutes less which is (x -6) minutes
So if they work together, how long will it take?
That would be ;
t = 1/x + 1/(x-6)
t = (x + x -6)/(x(x-6))
t = (2x -6)/(x^2 -6x)
The time it will take if they both work together is ;
t = (2x -6)/(x^2-6x)
where x minutes is the amount of time taken by the technician who is slower of the two
2(x + 4) - 6 = 5x - 17
Answer:
x=6.3 :)
Step-by-step explanation:
2(x+4)-6=5x-17
2x+8-6=5x-17
2=3x-17
19=3x
19/3=6.3
Answer:
2(x+4) -6 = 5x-17
2x + 8 - 6 = 5x - 17
8 -6 + 17 = 5x - 2x
2 + 17 = 3x
19 = 3x
divide both side by the coefficient of x which is 3
19/3 = 3x/3
x = 19/3
x = 6 1/3. or 6.33
At the beginning of a basketball season, the Warriors won 13 games and lost 5. If this rate continues, how many games will they win in a normal 90-game season?
Answer: 65 games
Step-by-step explanation:
total = 13 + 5 = 18
90 is 5x of 18
wins = 13*5 = 65 wins
Which represents the inverse of the function f(x) = 4x?
Oh(x) = x + 4
Oh(x) = x - 4
h(x) = x
Oh(x) = = x
Answer:
y = x/4
Step-by-step explanation:
First, replace f(x) with y, so it's easier to find the inverse:
y = 4x
To find the inverse of this function, you would replace all the y's with x's and all the x's with y's, and then solve for y. That would be:
x = 4y
y = x/4
Therefore, the inverse function of y = 4x is y = x/4.
Two pulleys, one with radius r 1r1 and the other with radius r 2r2, are connected by a belt. The pulley with radius r 1r1 rotates at omega 1ω1 revolutions per minute, whereas the pulley with radius r 2r2 rotates at omega 2ω2 revolutions per minute. Show that StartFraction r 1 Over r 2 EndFraction equals StartFraction omega 2 Over omega 1 EndFraction r1 r2
Answer:
r1/r2 = 2ω2/ω1
Step-by-step explanation:
The velocity of each pulley is expressed as v = ωr where;
v is the linear velocity of the pulley
ω is the angular velocity of the pulley
r is the radius of the pulley.
For the two pulleys, the velocity I'd both pulleys are the same.
v1 = v2
v1 is the linear velocity of first pulley
v2 is the linear velocity of the second pulley.
v1 = ω1r1
v2 = 2ω2(r2)
r1 and r2 is the radius of pulley 1 and pulley 2 respectively.
Since v1 = v2
ω1r1 = 2ω2(r2)
Divide both sides by r2
ω1r1/r2 = 2ω2(r2)/r2
ω1r1/r2 = 2ω2
Divide both sides by ω1
ω1r1/r2/ω1= 2ω2/ω1
r1/r2 = 2ω2/ω1
Find the slope of the line through points (3, -8) and (0.4). *
Answer:
slope is -4
Step-by-step explanation:
To find the slope with points, you do (y2-y1)/(x2-x1)
4-(-8)=12
0-3=-3
12/-3=-4
An umbrella at a shop was marked for $6 . During a sale, a discount of 10% was given. A further 8% discount was given to the senior citizens. How much would a senior citizen need to pay for the umbrella during the sale? Round your answer to the nearest cent.
Answer:
A senior citizen will pay $4.97
Step-by-step explanation:
Mathematically, discount = discount percentage * marked price
Sales price = marked price - discount
In the question, marked price = $6
First, we have a discount of 10%, so therefore , the sales price will be;
$6 - (10/100 * $6 ) = $6 - $0.6 = $5.4
Now, a further 8% discount was given to senior citizens,
The extra discount for senior citizens is thus;
8/100 * 5.4 = $0.432
Amount to be paid by senior citizens = $5.4 - $0.432 = $4.968. which is $4.97 to the nearest cent
Answer:
the answer is $4.97.
Step-by-step explanation:
:)
30 points plz help, I really need it
[tex]-7\sqrt{3}\pi[/tex]
Add similar elements
:)Hope you enjoy this:)Answer:
A. [tex]-7\sqrt{3}\pi[/tex]
Step-by-step explanation:
To find the simplified form of that expression, we have to combine like terms. To do this, we should remember that:
ab + cb = (a + c)b
[tex]\pi\sqrt{3}-8\pi\sqrt{3}=(\pi-8\pi)\sqrt{3}=((1-8)\pi)\sqrt{3}=-7\pi\sqrt{3}=-7\sqrt{3}\pi[/tex]
So the simplified form would be [tex]-7\sqrt{3}\pi[/tex].
I hope you find my answer and explanation to be helpful. Happy studying.
what is the y-intercept
Answer: D. (0, 1)
Step-by-step explanation: y - intercept is when x = 0. Anything to the power of 0 is 1. So, it would be D. (0, 1)
If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h
Answer:
AV and DV both are correct
Both lines on the graph represent proportional relationships. What is the constant
of proportionality for each relationship? Explain how you know.
Answer:
k = 3 and k = 1
Step-by-step explanation:
Given that the relationship is proportional then the equation relating the quantities is
y = kx ← k is the constant of proportion
To find k divide both sides by x , then
k = [tex]\frac{y}{x}[/tex]
For graph a use the point (2, 6 ), then
k = [tex]\frac{6}{2}[/tex] = 3
For graph b use the point (4, 4 ), then
k = [tex]\frac{4}{4}[/tex] = 1
1) Relacione o nome dos polígonos de acordo com o total de lados. a) Triângulo ( ) 8 lados. b) Quadrilatero ( ) 6 lados. c) Pentágono ( ) 7 lados. d) Hexágono ( ) 3 lados. e) Heptágono ( ) 4 lados. f) Octógono ( ) 5 lados. 2) O ângulo reto , também conhecido como ângulo de um quarto de volta mede:. a) 90° b) 180° c) 270 ° d) 360 ° 3) O ângulo que mede menos 90 ° e mais de 0° é chamado de : a) agudo b) raso c) reto d) obtuso. 4) Um teatro 64 fileiras de poltronas e cada fileira tem 35 poltronas. Qual é a lotação desse teatro? 5) André e Federico fizeram 28 pacotes contendo 180 bandeirinhas cada pacote . Quantas bandeirinhas os meninos fizeram ? 5) Calcule : a) 861 x 27= b) 798 x 45=
Answer:
1
O nome de um polígono é um nome que se deve ao número de lados que o polígono possui.
a) Triângulo = 3 lados.
b) Quadrilátero = 4 lados.
c) Pentágono = 5 lados.
d) Hexágono = 6 lados.
e) Heptágono = 7 lados.
f) Octógono = 8 lados.
2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 °
3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a) agudo
4) 2240
5) 5040 sinalizadores
6) Calcule: a) 861 x 27 = 23247
b) 798 x 45 = 35910
Step-by-step explanation:
1) Liste o nome dos polígonos de acordo com o número total de lados.
a) Triângulo = 3 lados.
b) Quadrilátero = 4 lados.
c) Pentágono = 5 lados.
d) Hexágono = 6 lados.
e) Heptágono = 7 lados.
f) Octógono = 8 lados.
2) O ângulo reto, também conhecido como ângulo de um quarto de volta, mede: a) 90 ° b) 180 ° c) 270 ° d) 360 °
= a) 90°
Um triângulo ângulo reto pode ser definido como um triângulo onde um de seus 3 ângulos é equivalente a 90 graus (90°).
3) O ângulo que mede menos 90 ° e mais que 0 ° é denominado: a ) agudo b) raso c) reto d) obtuso.
Um ângulo maior que 0 ° e menor que 90 ° pode ser definido como um ângulo agudo.
= a) agudo
4) Um teatro com 64 filas de assentos e cada fila tem 35 assentos. Qual é a capacidade deste teatro?
No teatro, cada fila tem 35 lugares.
Temos 64 linhas
O número total de licenças que temos é calculado como:
1 fila = 35 assentos
64 linhas =
Multiplicação cruzada
64 filas × 35 assentos
= 2.240 assentos.
Portanto, a capacidade do teatro é de 2240.
5) André e Federico confeccionaram 28 embalagens contendo 180 bandeiras cada embalagem. Quantas bandeiras os meninos fizeram?
O número de bandeiras que os meninos fizeram é calculado como:
28 pacotes × 180 bandeiras
= 5040 sinalizadores
6) Calcule: a) 861 x 27 = 23247
b) 798 x 45 = 35910
Josh's football team has never scored more than 31 points in a game.
Which inequality represents the number of points that they would need
to score to beat their record?
A. p 31
D. p ≥ 31
Answer:
p > 31
Step-by-step explanation:
If their record is 31, and they need to beat it, then it would mean his score needs to be greater than 31, which is written as:
p > 31
Hope this helps
Question in the picture
Answer:
The Internet started in the 1960s as a way for government researchers to share information. ... This eventually led to the formation of the ARPANET (Advanced Research Projects Agency Network), the network that ultimately evolved into what we now know as the Internet.
If I have a Siberian Husky, then I have a dog." Identify the hypothesis
Answer:
the hypothesis is correct
Step-by-step explanation:
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator descends 4 feet per second. The elevator for the miners descends 13 feet per second. One day, the equipment elevator begins to descend. After 33 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time, which elevator is deeper?
Answer:
The position of the equipment elevator is 180 feet deep
The position of the miner's elevator is 156 feet deep
The equipment elevator is deeper.
Step-by-step explanation:
From the question,
For the equipment elevator
Velocity (v) = 4 feet/second
and for the miner's elevator,
Velocity (v) = 13 feet/second
To determine the position of each elevator, the position can be related to the distance covered.
From
Velocity = Distance / Time
Distance = Velocity × Time
Now, from the question,
The equipment elevator first descends for 33 seconds, after which the miner's elevator then start to descend both elevators descend for another 12 seconds. That is, the equipment elevator descends for a total of (33+12) seconds while the miner's elevator descends for 12 seconds.
Now, for the equipment elevator
Velocity = 4 feet/second
Time = (33 + 12 seconds) = 45 seconds
From
Distance = Velocity × Time
Distance = 4 × 45
Distance = 180 feet
The position of the equipment elevator is 180 feet deep
For the miner's elevator,
Velocity = 13 feet/second
Time = 12 seconds
Also, from
Distance = Velocity × Time
Distance = 13 × 12
Distance = 156 feet
The position of the miner's elevator is 156 feet deep
Hence, the equipment elevator is deeper.
P = a + b + c; solve for b
Answer:
b = P - a - c
Step-by-step explanation:
Step 1: Write equation
P = a + b + c
Step 2: Solve for b
Subtract a on both sides: P - a = b + cSubtract c on both sides: P - a - c = bRewrite: b = P - a - cWhich equation correctly applies the distributive property?
Answer:
What are the anwser choices?
Step-by-step explanation:
?
Write the equation of the line that passes through the points (-7, -3) and
(-2,-1)
Answer:
y = 2/5x - 1/5
Step-by-step explanation:
The first step is to find the slope. We can do this by doing y2- y1/x2 - x1, you can name any number 1 or 2 as long as the x and y are right.
-1 - (-3)/-2 - (-7) = 2/5
Now that we know that the slope is 2/5 we can use the formula
y - y1 = m(x - x1)
y + 3 = 2/5(x +7)
y + 3 = 2/5x + 2 4/5
y = 2/5x - 1/5
A 12 oz bottle of clean dish soap is 1.80,while a 20 oz bottle is is 3.60 which is the better buy
Answer:
The 12 ounce
Step-by-step explanation:
When you buy two twelve ounces you will be receiving 24 oz. for the same price as the 20 oz.
Hope This Helped
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Answer:
Do answer C
Step-by-step explanation:
Have a conco with me in the comments please
Answer:
A. M
B. P
C. R
D. Q
Step-by-step explanation:
M = -8
N = -5
P = 0
Q = 8
R = 10
S = 11
find the value
f(-7)
Answer:
-7f
Step-by-step explanation:
move -7 to the left of f
Simplify:
a)23p-7p
b)3ab-9ab+7ab
a) 16p
b) 1ab
hope i helped
You're in the business of supplying snacks to school canteens. The process involves procuring the ingredients (raw materials); cooking the snacks in a two-room place, for which you pay rent; and supplying the snacks to 50 school canteens, using your personal car. You have hired six workers, and you pay them on an hourly basis. How would accounting help you run this business?
Step-by-step explanation:
Alright on accounting you might want to take into consideration the following
based on the production and delivery process
1. The cost of ingredient/raw material
2. the cost of rent for the two rooms
3. the cost of logistics for transporting the products
4. the payment per hour for 6 workers
With all the above well accounted for, it will help you have a perfect record of expenses and the total cost of production, you can then estimate the cost of producing a unit of the snacks.
You can then estimate the the revenue to be generated based on the price tagged on one unit.
Also, you can estimate the break even point based on a properly accounted business
create a word problem and solve for this equation: 1/2 ÷ 4
pls help I need it fast!!!
Answer: molly has 1/2 of her apples cut she need to give it to her 4 friends???
what is 14.876 - 4.96
Answer:
9.916 is the answer
please help me I will mark brainliest to first to help
PLSSSS!!!!! HELP!!!! ME!!!!! I !!!!! WILL!!!! MARK U!!!!!!!!!!!!
Answer:
i want to see david not mark
Step-by-step explanation:
duck what is plant? Been wonder tht=at fir long tim. Seen mary sheelly at the frank book!! You seen? HMMMM???!?! Im tired of this instagram ad go away! Its find out!!! Me too!!!
Answer:
I'm pretty sure its 5...
Solve this equation for B: A=BC+D
Step-by-step explanation:
Simple algebra
A=BC+D
A/C=B+D
(A/C)-D=B
8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5
Answer:A 4n+1
Step-by-step explanation: found the answer key
If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).
aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, The first term of an arithmetic sequence is 5.
The third term of the sequence is 13.
As we can conclude that for 2 terms the common difference is increased by 8.
∴ Common difference (d) = 8/2 = 4.
Now, we know the nth term of an arithmetic sequence is,
aₙ = a₁ + (n - 1).d.
aₙ = 5 + (n - 1)×4.
aₙ = 5 + 4n - 4.
aₙ = 4n + 1.
learn more about arithmetic sequence here :
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