A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 6400 kilograms have already been loaded into the container.
Answer:
[tex]x<=118[/tex]
Step-by-step explanation:
We already have [tex]10300[/tex] kilograms, we will add [tex]x*150[/tex] kilograms, and we need it to be less than or equal to [tex]28000[/tex].
So, the inequality is [tex]150x+10300<=28000[/tex].
We can subtract [tex]10300[/tex] from both sides to get [tex]150x<=17700[/tex].
We then lastly divide by [tex]150[/tex] on both sides to get [tex]x<=118[/tex].
So, the answer is [tex]\boxed{x<=118}[/tex] and we're done!
Write the equation of the line in slope intercept form.
(-8,10); m=1/2
Answer:
y = (1/2)x + 14
Step-by-step explanation:
y = (1/2)x + 14
addison and kelsey are running on a path modeled by x^2+y^2-10x-18y-378=0, where the distance is in meters. what is the maximum distance between the runners at any given time
The maximum distance between them is the diameter of the circle, which is of 44 units.
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The diameter is twice the radius, and is the maximum distance between two points on the same circle.
They are running on a circular path, modeled by:
[tex]x^2 + y^2 - 10x - 18y = 378[/tex]
Completing the squares, the equation is:
[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]
Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.
A similar problem is given at https://brainly.com/question/25008198
I spent all my points into this so give it your best shot
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
Give it your best shot
Answer:
7
Step-by-step explanation:
This is the value of "f(x)" when "x = 0" .
Please help. I don't know the answer
Answer:
The answer is 3x+4y<-12
Step-by-step explanation:
Solve for c. 2a + 3b = c
Please help as soon as possible. Thanks! =D
Answer:
a = c - 3b/2
Step-by-step explanation:
2a + 3b - 3b = c - 3b
2a = c - 3b
2a/2 = c/2 - 3b/2
therefore your answer is a = c - 3b/2
please answer this question with full explanation
Find the ratio 45 sec to 1 min
Answer:
3:4
Step-by-step explanation:
Problem 2: A ball is dropped from rest from a height of 6 meters, Find the time it takes the ball
to fall. Find the velocity of the ball just before it hits the earth. Assume no air resistance and
that acceleration due to gravity (g) is 9.8 m/s/s.
Answer:
1.11 s , 10.88 m/s
Step-by-step explanation:
Initial velocity and air resistance = 0
Time to fall : s = 1/2 gt²
6 = 1/2 * 9.8 * t²
t² = 1.224
t = 1.11 s
final velocity = initial velocity + gt
= 0 + 9.8 * 1.11
= 10.88 m/s
Twenty decreased by 2 times a
number is the same as 10 less
than 3 times the number.
Answer:
6
Step-by-step explanation:
What is the value of x?
3
I found the answer trust
[tex] \frac{6 + 8x}{2} = 5x \\ = > 6 + 8x = 2(5x) \\ = > 6 + 8x = 10x \\ = > 6 = 10x - 8x \\ = > 6 = 2x \\ = > x = \frac{6}{2} \\ = > x = 3[/tex]
Answer:x = 3
-
If
f(x) = x - 5
and
g(x) = 4x – 2
-
Find
f(g(x)) = 4x – [?]
-
Answer:
4x - 7
Step-by-step explanation:
To evaluate f(g(x)) substitute x = g(x) into f(x)
f(g(x)
= f(4x - 2)
= 4x - 2 - 5
= 4x - 7
You saved $500 this year. Each year you plan to save 5% more than the previous year. How much do you expect to save after 8 more years?
A. $738.73
B. $5513.28
C. $5013.28
D. $5788.95
Answer:
1st year
50hdnjxwmmwdbbd
djjrjeuie
Answer:
a. 738.73
Step-by-step explanation:
hope that’s righttt.
What I did was 500x0.05 and with the answer I did x0.5 again and added it to the previous year until the 8th time each was 738.73 correct me if I’m wrong
edit so it’s wrong….not sure what I did wrong
8. Melody subscribes to a coffee service. For $10 a month, Melody is able to purchase a cup of coffee for the
discounted price of $2 for each cup. This situation can be modeled by the function f(x) = 2x+10, where x
represents the number of cups of coffee Melody can purchase. This membership caps the number of cups of
coffee that can be purchased each month at 6.
(D)
Which answer choices best describe the domain and range of f?
Choose TWO correct answers from the 5 choices.
ооооо
The range of the function is 102y 2:22.
The domain of the function is 02 x 6. (S-V)E- = (-)5 noitsupe er zelam v to oulev derW.A
The domain of the function is (10, 12, 14, 16, 18, 20, 22).
MO
The range of the function is {10, 12, 14, 16, 18, 20, 22}
a e
А A
v brex noswiad girlanousion seri seworla data
Answer:
Domain: 0 <= x <= 6
Range: 10 <= x <= 22
Step-by-step explanation:
There is no minimum to the number of cups she can purchase, thus x > 0 or x >= 1. The maximum amount she can purchase is x = 6 or x <= 6, thus 0 <= x <= 6. Plugging these two values into the function we get a range of 10 <= x <= 22.
find midpoint of (7,-3) and (15,-8)
Answer:
{0.5(7+15),0.5(-3-8)}
Step-by-step explanation:
(0.5(sum of x values),0.5(sum of y values))
help you awesome people
Answer:
9
Step-by-step explanation:
This is because it is the number being multiplied
Hope this helps!
Answer: 9^2 or can also be read as 9 squared.The base itself is worth 9 but when you include the exponent its 81.When your solving exponents your multiplying the base by itself as many times as the exponent reads.In this case its 9x9 (2 times). The value of the base is 9 (just wanted to explain the other stuff just in case you didn't know)
have a good day :)
Kwami had two large sheets of paper. He cut each piece of paper in half, then he cut the smaller pieces of paper in half two more times.
Answer:
14
Step-by-step explanation:
In the equation 3x - 5 = 22,
where "x is the cost of a sandwich"
Diana said that "the sandwich cost $9."
Victor's answer is $5.
Who is right? Support your claim with math evidence or reasoning.
Answer:
Diana said that "the sandwich cost $9
Step-by-step explanation:
3x - 5 = 22
3x = 22 + 5
3x = 27
x = 27 / 3
x = 9
Can someone help me do this
Answer:
X = 2
5y + (what is that number???) can not see it
Point R is located at 8,13 where is R after a translation 8 units left and 6 units down
Answer:
On the Y axis
Step-by-step explanation:
Answer:
(0, 7)
Step-by-step explanation:
aight so its set up as (x,y). X on the graph is left and right while y is up and down. "8" means that the X is positive or to the right of the origin. If you go left, essentially you are subtracting. So 8-8=0. Same kind of idea for the Y axis. Up is positive, down is negative. If you're going down 6 from 13 (13-6) then you are at 7. (0,7)
B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD?
AD =
Answer:
AD = 85
Step-by-step explanation:
AD = AB + BC + CD ( substitute values , noting AB = CD = 20 ) , then
AD = 20 + 45 + 20 = 85
Which expression can be used to find the surface area of the following square pyramid?
Answer:
A = L + B = a2 + a√(a2 + 4h2))
Step-by-step explanation:
in a standard normal distribution, the probability that z is greater than zero is
Answer:
50%
Step-by-step explanation:
The distribution is symmetrical about the y-axis.
The probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
What is Probability?The branch which deals with the occurrence of a random event is known as probability.
The area under the curve to the right of z = 0 is equal to the area under the curve to the left of z = 0. So the standard normal distribution is symmetric about the mean of zero
As the total area under the curve is equal to 1, each of these areas must be 0.5 or 50%.
In a standard normal distribution, the probability that z is greater than zero is 0.5, or 50%.
Therefore, the probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ6
100 POINTS AND BRAINLIEST!!
Answer:
$1,585.70
Step-by-step explanation:
15% of $2,200 = $330
7.65% of $2,200 = $168.3
3% of $2,200 = $66
$330 + $168.3 + $66 = $564.3
$564.3 + $50 (healthcare cost) = $6.14.3
$2,200 $614.3 = $1585.70
1/5d=-3 help I'm confused
Answer:
d=-15
Step-by-step explanation:
1/5d= -3
d= -3×5
d= -15
Hope this helps you. Have a nice day. Please mark as brainliest. It helps a lot. ^_^
Write 1.1x 10-4 in standard form.
Write 2.52 x 10-5 in standard form.
Write 6.25 x 105 in standard form.
Write 4.857x 10 in standard form.
Answer:
Glad to help..
Step-by-step explanation:
1) 1.1×10-4 standard form- 7
2) 2.52×10-5 standard form- 20.2
3) 6.25×105 standard form- 656.25
4) 4.857×10 standard form- 48.57
Put y + 3 = -3(x + 2) in slope-intercept form.
Answer:
[tex]y + 3 = - 3(x + 2) \\ y + 3 = - 3x - 6 \\ y = - 3x - 9[/tex]
Helppppppppppppppppppppppppppppppppppppppppp pls
Answer:
Coffee Beans to Go is cheaper, selling coffee at $4.75 per pound.
Step-by-step explanation:
The graph is cruddy and hard to see but! when you go to 2 pounds and then up the the cost, it's $9.50. 9.50/2= 4.75. kapeesh??
Twenty-eight slices of pizza cost $12. Approximately how much would 70 slices cost?
Answer:
$30.
Step-by-step explanation:
70/28 = 2.5
12 x 2.5 = 30
What is the missing value?
the answer is 40
in
X 1 (+1) 2 (+1) 3 (+1) 4 (+1) 5
Y 4 (+9) 13 (+9) 22 (+9) 31 (+9) 40
Answer:
the missing value is 40 .
Step-by-step explanation:
if observed clearly the difference between every number is 9.
so 31+9 = 40 is the correct answer.
hope this helps you.
Please help me with this from 1 to 10
Answer:
2. makes
3. had wanted
4. are deciding, get
5. are going
6. ate
7. will be traveling
8. are
9. asked
10. lose
Answer:
2. Wanted
3. Wants
4. Decides and Get
5. Went
6. Ate
7. Are Traveling
8. Are
9. Asks
10. Lost
Step-by-step explanation: What grade are you in??
