Answer:
Step-by-step explanation:
0 1
3 3 ⟌ 6 4
- 0
6 4
- 3 3
3 1
A foreign-car dealer with warehouses in New York and Baltimore receives orders from dealers in Philadelphia and Trenton. The dealer would to minimize the shipping cost. The dealer in Philadelphia needs 3 cars and the dealer in Trenton needs 8. The New York warehouse has 5 cars and the Baltimore warehouse has 9. The cost of shipping cars from Baltimore to Philadelphia is $120 per car, from Baltimore to Trenton $90 per car, from New York to Philadelphia $100 per car, and from New York to Trenton $70 per car. Let x be the number of cars shipped from Baltimore to Trenton, and y be the number of cars shipped from Baltimore to Philadelphia. 5. Write the six inequalities associated with this problem.
Answer:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
Step-by-step explanation:
Given
x = Cars from Baltimore to Trenton
y = Cars from Baltimore to Philadelphia
Required
Write out 6 inequalities
First, 0 or more cars must be shipped to both locations
So:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
Considering the warehouse in Baltimore.
(1) The warehouse can not ship more than the number of car it has (9).
So:
[tex]x + y \le 9[/tex]
Considering the warehouse in New York.
(1) After shipping cars to Trenton and Philadelphia, the warehouse will have 0 or more cars.
So:
[tex]8 - x \ge 0[/tex] --- To Trenton
[tex]3 - y \ge 0[/tex] --- To Philadelphia
(2) The warehouse cannot send out more than 6.
So:
[tex](8 - x) + (3 - y) \le 6[/tex]
So, the inequalities are:
[tex]x \ge 0[/tex]
[tex]y \ge 0[/tex]
[tex]x + y \le 9[/tex]
[tex]8 - x \ge 0[/tex]
[tex]3 - y \ge 0[/tex]
[tex](8 - x) + (3 - y) \le 6[/tex]
The percentage of obese children aged 12-19 years in the United States is approximately P(t) = 0.04t + 4.6 if 0 ≤ t < 10 −0.01005t2 + 0.945t − 3.4 if 10 ≤ t ≤ 30 where t is measured in years, with t = 0 corresponding to the beginning of 1970. What was the percentage of obese children aged 12-19 at the beginning of 1975? At the beginning of 1985? At the beginning of 1990?† (Round your answers to two decimal places.) 1975 % 1985 % 1990 %
Answer:
1975------ 4.8%
1990 ------ 11.48%
1985 ------ 8.51%
Step-by-step explanation:
Given
[tex]P(t) = 0.04t + 4.6[/tex] if 0 ≤ t < 10
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex] if 10 ≤ t ≤ 30
Where
t:=0 implies year = 1970
Solving (a): Beginning of 1975.
First, we calculate the value of t
[tex]t = 1975 - 1970[/tex]
[tex]t = 5[/tex]
This falls in the range: 0 ≤ t < 10
So:
[tex]P(t) = 0.04t + 4.6[/tex]
[tex]P(5) = 0.04 * 5 + 4.6[/tex]
[tex]P(5) = 4.80[/tex]
Solving (b): Beginning of 1990.
[tex]t = 1990 - 1970[/tex]
[tex]t = 20[/tex]
This falls in the range: 10 ≤ t ≤ 30
So:
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]
[tex]P(20) = -0.01005*20^2 + 0.945*20 - 3.4[/tex]
[tex]P(20) = 11.48[/tex]
Solving (c): Beginning of 1985
[tex]t = 1985 - 1970[/tex]
[tex]t = 15[/tex]
This falls in the range: 10 ≤ t ≤ 30
So:
[tex]P(t) = -0.01005t^2 + 0.945t - 3.4[/tex]
[tex]P(15) = -0.01005*15^2 + 0.945*15 - 3.4[/tex]
[tex]P(15) = 8.51375[/tex]
[tex]P(15) = 8.51[/tex]
Please help due soon.
Answer:
If Jenny gives her brother 28 marbles, they will have 59 marbles each.
Step-by-step explanation:
The key to finding this answer is a mean, or average. Find it for the number of marbles:
[tex]\text{Mean}=\frac{87+31}{2}= \frac{118}{2}=59 \text{ marbles}[/tex]
So, on average, each one should have 59 marbles.
Finally, to find out how many marbles Jenny should give to her brother, subtract the average (59 marbles) from her count:
[tex]87-59=28 \text{ marbles}[/tex]
This means Jenny would give up 28 of her marbles to her brother.
PLEASE HELP!!
Find the lateral area of this cone. Leave your answer in terms of pi.
25 cm
8 cm
Answer:
200
Step-by-step explanation:
pi · radius · height
3.14 · 8 · 25 = 200
extra : i used symbolab.com :)
Triangle DIG is reflected across the l-axis.
O (x, y) --> (-x, y)
O (x, y) --> (-X, -y)
(x, y) --> (y,x)
O (x,y) --> (x,-))
helpp its for a timed assignment
there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.
IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)
This meant that for reflecting across the x axis, (x,y)->(x,-y)
For y axis its the opposite, just flipping to the side.
This meant that for reflecting across the y axis, (x,y)->(-x,y)
What is the answer for 9 3/5 / 3 1/5
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
- 4(x + 5) = 16 what does x equal?
Answer:x= 9
Step-by-step explanation:
-4(x+5) = 16
-4*x= -4x -4*5= -20
16 - -20= 36
-4x/-4= x 36/-4=9
An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a mean weight of up to 1580/10 = 158 pounds. If the elevator is loaded with 10 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.) Does this elevator appear to be safe?
Answer:
a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb
b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.
This means that [tex]\mu = 160, \sigma = 35[/tex]
Sample of 10:
This means that [tex]n = 10, s = \frac{35}{\sqrt{10}} = 11.07[/tex]
a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.
This is 1 subtracted by the pvalue of Z when X = 158. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{158 - 160}{11.07}[/tex]
[tex]Z = -0.18[/tex]
[tex]Z = -0.18[/tex] has a pvalue of 0.4286
1 - 0.4286 = 0.5714
0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.
b.) Does this elevator appear to be safe?
No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.
Answer the question
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
please help! I really need it if you can tysm
Answer:
Step-by-step explanation:
Half of the animals are cats. If they take in 5 cats, then the total number of animals is 2×5 = 10.
If they take in 8 animals, the number of cats is ½ of 8 = 4.
If they take in 6 cats, then the total number of animals is 2×6 = 12.
If they take in 16 animals, the number of cats is ½ of 16 = 8.
Consider the expression
10x2 + 5x – 25.
What is the GCF (greatest common factor)?
Answer:
5
Step-by-step explanation:
Answer:
Its def 5, My calculations are never wrong
keep it simple and explain your answer plss and thank you
Answer:
y=-1/3+4
Step-by-step explanation:
y=mx+b
mx=slope
b=y intercept
Give the value of x. Explain how you got your answer OR which theorem you used.
100+75+70+x= 360° (sum of interior angles of quadrilateral)
x= 360-245= 115°
Helppp pleaseeee which one
Answer:
Coefficient is your answer
Answer:
3 is a coefficient
Step-by-step explanation:
a constant is a number without a variable and that is unchanging
3 has the variable w attached to it and will change with the value of w
hope this helps <3
A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?
Answer:
286.94 cm
Step-by-step explanation:
Data:
Area = 8,607
b1 = 105
b2 = 123
Area = 1/2 * (b1 + b2) * h
h = 2 * Area/b1 + b2
h = 2 * 8,607/105 + 123
h = 286.94 cm
I'm not sure if it's right but that's what my calculator gave me.
please i need help it’s urgent
Answer:
4.5
Step-by-step explanation:
6x + 42 = 18x - 12 (alternate angles)
or, 18x - 6x = 42+12
or, 12x = 54
or, x = 54/12
x= 4.5
Help pls because I really need help
Answer:
answer is third,hope i helped u
write the following mathematical expressions in simplest form 3.5 m + 2 (0.6 M - 5) + 4
Answer:hamburger
Hamburger
Step-by-step explanation:hamburger
Hamburger
D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?
The commutative property changes the _____ of two addends or factors.
What is the slope of the line through (-9,6) and (-3, 9)?
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the given plane. x 3y 4z
I assume the given plane has equation
x + 3y + 4z = d
for some constant d ≠ 0.
You want to maximize the function V(x, y, z) = xyz subject to the above constraint. The Lagrangian would be
L(x, y, z, λ) = xyz - λ (x + 3y + 4z - d)
Find its critical points:
∂L/∂x = yz - λ = 0
∂L/∂y = xz - 3λ = 0
∂L/∂z = xy - 4λ = 0
∂L/∂λ = x + 3y + 4z - d = 0
The first three equations tell you that λ = yz = xz/3 = xy/4. Then, for instance,
yz = xz/3 → 3yz - xz = z (3y - x) = 0 → z = 0 or 3y - x = 0
If z = 0, we get zero volume which is not useful. So 3y = x. Similarly, you would find x = 4z and 3y = 4z, so a critical point occurs when x = 3y = 4z.
In the fourth equation, we get upon substituting
x + 3y + 4z = 3x = d → x = d/3, y = d/9, z = d/12
Then the largest volume of this box would be
V(d/3, d/9, d/12) = d ³ / 324
multipy the expreshions (2h+2.7) (2h-27)
Answer:
[tex]4h^2-48.6h-72.9[/tex]
Step-by-step explanation:
[tex](2h+2.7) (2h-27)\\4h^2-54h+5.4h-72.9\\4h^2-48.6h-72.9[/tex]
solve please
due very soon
need done asap
Answer:
B
Step-by-step explanation:
Both triangles are similar. The similarity ratio between AB and EF is 4, which must mean that FG is BC (60)/4. The area of a rectangle is base x height -> 6.25 x 15 = 93.75 square cm
Hope this helps!
Without doing calculations choose the equation that you can NOT use to answer the question. What number is 55% of 80?
Answer: See explanation
Step-by-step explanation:
You didn't specify the equations but let me solve the question.
55% of 80.
The above statement simply means that you need to multiply 55% by 80. This will be:
= 55% of 80
= 55/100 × 80
= 0.55 × 80
= 44
Therefore, 55% of 80 is 44
Based on your question, any other equation that doesn't give 44 as an answer cannot be used to answer the question.
combine like terms in the expression -4x+7x-2y+7y
Answer:
-4x + 7x - 2y + 7y =
3x + 5y
Step-by-step explanation:
Hope that this helps :)
Help asappppp !!!!!!!!
Answer:
None
Step-by-step explanation:
2(x + 10) - 17 = 2x - 2
simplify:
2x + 20 - 17 = 2x - 2
2x + 3 = 2x - 2
subtract 3 from both sides of the equation:
2x = 3x -5
no solution
An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5 in. = 1 ft, what is the actual width of the kitchen?
Select the measures that are equal to 3 gallons. Mark all that apply.
6 quarts
12 quarts
6 pints
12 pints
24 pints
20 cups
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 galllon = 8 pints
Answer:
12 quarts 24 pints
Step-by-step explanation:
change all measurements to gallons and solve.
1 quart= 2 pints
1 gallon = 8 pints