Answer: [tex]w \le 3000[/tex]
w is the weight of the truck in pounds.
Since w cannot be negative, we can write [tex]0 \le w \le 3000[/tex] or we could tack on the statement "w must be positive"
The phrase "at most" means "that is the largest w can get". Think of it as the ceiling.
Which of the following best describes point A in the figure below?
3-3x^2-8x^4x
the expression represents___polynomial with _terms. the constant term is_ the leading term is _and the leading coefficient is _
Answer:
4th degree, with 3 terms, 3, 8x^4x, 8
Step-by-step explanation:
The Big Motor Works (BMW) is considering a production schedule for cars and trucks over the next two months. They must deliver on time 400 trucks and 800 cars in month one. In month two, their demand is 300 trucks and 300 cars. During each month, at most 1,000 vehicles can be built. Each truck uses two tons of steel and each car uses one ton of steel. During the first month, the steel cost will be $400 per ton. During the second month the cost of steel will go up to $600 per ton. At most 2,500 tons of steel can be purchased in each month. (Steel can only be used in the month it is purchased.) At the beginning of month one, 100 trucks and 200 cars are in inventory. At the beginning of each month a hold- ing cost of $150 per vehicle is assessed. Each car gets 30 mpg, and each truck gets 20 mpg. To meet fuel economy regulations, the vehicles produced each month must average at least 26 mpg. The company wants to minimize its total costs.
a. Formulate a linear program to help BMW determine how many cars and trucks it should produce each month and how many it should keep in inventory each month.
b. Use Solver to find the optimal solution to the linear program from part a. Using a sensitivity report from the Solver solution in part b, answer questions c—g.
c. How many trucks and how many cars should be produced in each month?
d. Suppose the price of steel fell by $25 per ton. What would be the total impact on optimal solution and optimal value?
e. The company just got notified the supply of steel has decreased from 2,500 tons to 2,000 tons. What impact will this have on their production plans?
f. The company is able to add overtime at a cost of $900 per car to increase total production in either month. Should they add overtime in either month? Why or why not?
BC = 62 +4,
AC = 52, and
AB = 4x + 8,
By seeing the digram we came to know:
[tex]AC=BC+AB[/tex]
To find the value of x:
Step 1:
→[tex]52 = 6x + 4 + 4x + 8[/tex]
Step 2:
→[tex]52 = 10x + 12[/tex]
Step 3:
→[tex]10x = 52 - 12[/tex]
Step 4:
→[tex]10x = 40[/tex]
Step 6:
→[tex]x = \dfrac{40}{10} [/tex]
Step 7:
→[tex]x = 4[/tex]
To find value of BC:
Step 1:
•[tex]BC=6x+4[/tex]
Step 2:
•[tex] BC= 6 \times 4 + 4[/tex]
Step 3:
•[tex] BC= 24 + 4[/tex]
Step 4:
•[tex] BC= 28✓[/tex]
Bethany is building storage boxes. Each box will have a length of 6 feet, a width of 3 1/2 feet, and a height of 5 1/2 feet. A quart of paint covers 100 square feet. How many quarts of paint does Bethany need to buy in order to paint 5 boxes?
A. 4 quarts
B. 6 quarts
C. 7 quarts
D. 8 quarts
Answer:
8 quarts
Step-by-step explanation:
Answer: 8 quarts
Step-by-step explanation: proof with other answers
Juan's dog stands 2 feet and 3 inches tall. Peter's dog stands 9 inches tall. Calculate how much taller Juan's dog is than Peter's dog.
Answer: 18 inches taller
Step-by-step explanation: covert the 2 feet to inches, which is 24 inches plus the 3 inches to have 27 inches. 27 inches minus the 9 inches equals 18 inches
Answer:
18 inches taller
Step-by-step explanation:
look at the 2 picture to see the answer I wrote out
Question 1 Multiple Choice Worth 4 points)
(08.02)The coordinate grid shows the plot of four equations.
A
B
A
-72625
Which set of equations has (2, 2) as its solution?
A and D
Band D
A and C
Band C
Answer:D
Step-by-step explanation:
What is 0.07 divided by 10.4 in long division
Answer:
0.0067307692307692
Step-by-step explanation:
Mrs. Kwan will teach 8 workshops next week. Each workshop is 2 hours long. Mrs. Kwan tries to tell a joke ever 1/3. How many times will she tell a joke by the end of the last workshop?
Assuming you meant every 1/3 hour, she will tell 48 jokes
1/3 hr = 20 mins
16 hrs = 960 mins
960/20= 48 jokes
You could also take 16 hrs and the 3 from 1/3, 16*3=48
Much faster method i forgot until just now..
I'm more sophisticated than my little sister so I save my money in a bank account that pays me
3% interest on the money in the account at the end of each month. (If I take my money out
before the end of the month, I don't earn any interest for the month.) I started the account with
$50 that I got for my birthday. Use a table, a graph, and an equation to create a mathematical
model of the amount of money I will have in the account after m months.
Answer:
F(m)=50*1.03^m
Step-by-step explanation:
The equation y = 16.50x describes the amount of money Joey earns, where x is the number of hours he works and y is the amount of money he earns.
The table shows the amount of money Kaylee earns for different numbers of hours worked.
Kaylee’s Earnings
Time (h) 2 5 8 10
Money earned ($) 39 97.50 156 195
(a) How much money does Kaylee earn per hour? Show your work.
(b) Who earns more per hour? Justify your answer.
HELP ME PLEASEEEEE
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more money per hour than Joey.
Step-by-step explanation:
x = # of hrs. worked
y = amount of money earned
Joey:
y = 16.50x
Kaylee:
Time (h) 2, 5, 8, 10
Money earned ($) 39, 97.50, 156, 195
y = mx + b; Slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
We will be using: (2,39) and (8,156) to find the slope of this table.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{156-39}{8-2} \\\\m=\frac{117}{6} \\\\m=19.5[/tex]
y = mx + b
y = 19.5x + b
I will be using (2, 39) to find the value of b
(2, 39)
y = 19.5x + b
39 = 19.5(2) + b
39 = 39 + b
-39 -39
0 = b
y = 19.5x + b ==> y = 17.7x + 0 = OR y = 19.5x (since the value of b is 0)
(a) The question wants us to find out how money Kaylee earns per hour. Recall that x = # of hrs. worked and y = amount of money earned.
y = 19.5x
She earns $19.50 per hour.
(b)
Joey: y = 16.50x (earns $16.50 per hour)
Kaylee: y = 19.5x (earns $19.50 per hour)
As you can see, Kaylee earns more money per hour than Joey.
Hope this helps!
Given below, if ♡ and are congruent, what is the measure of chord
XY?
X
Z
115°
w
10.2
D
A. 17.2 units
B. 10.2 units
C. 10.7 units
D. 20.4 units
Answer:
the answer is B for the question
The measure of chord XY in the given circle is 10.2 units.
What is a chord in a circle?The chord of a circle is defined as the line segment joining any two points on the circumference of the circle. It should be noted that the diameter is the longest chord of a circle that passes through the center of the circle.
Given that a circle, O, where, arcs, XY and XZ are congruent,
We need to find the measure of chord XY in the given circle.
Since, we know that,
If two chord are of the same length, then the two arcs they intercept are congruent.
Therefore,
Arc XY = Arc XZ
Therefore,
XY = 10.2 units
Hence, the measure of chord XY in the given circle is 10.2 units. in a
Learn more about chord, click;
https://brainly.com/question/21686011
#SPJ7
Which statement is true about the end behavior of the graphed function?
Answer:
As the x-values go to positive infinity, the function's values go to positive infinity.
emilythompson35464
hope this helps srry if this doesn't tho
Answer: A.
Step-by-step explanation:
because the x values increase, the other functions decresse.
In a classroom libray Mrs. Sterling has 16 mystery books, 4 fantasy, 4 biographies, 4 poetry books, 2 comic books, and 2 cookbooks. A book is selected from the classroom library at random. What is the probability that the book is a mystery book?
Such probability is calculated by dividing the number of mystery books by a total number of books:
--> [tex]\frac{16}{32} = \frac{1}{2}[/tex]
Thus the probability that the book is a mystery book is 1/2.
Hope it helps!
someone pleaseeeee help!!!
Which table shows a constant rate of change of -3?
y
x
y
y
-8
x y
15 12
3
-2
-22
2
4
-5
O
16
9
o
-1
-12
-21
-1
07
-2
17
7
0
-16
-20
-4
6
1
18
4
1
-20
-19
-7
The table that shows a constant rate of change of -3 is Table D.
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
The constant rate of change (r):
Take two ordered pairs (a, b) and (c, d)
= (d - b) / (c - a)
Now,
From Table D.
We see that,
r = (-1 - 2) / (-21 + 22) = -3/1 = -3
r = (-4 + 1) / (-20 + 21) = -3/1 = -3
r = (-7 + 4) / (-19 + 20) = -3/1 = -3
Thus,
The table that shows a constant rate of change of -3 is Table D.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
6) Write 0.3 as a fraction.
A)1 12
B) 1 33
C)1 3
D)1 6
Answer:
1/3
Step-by-step explanation:
How do you these questions?
Answer:
a) s = 2a sinh(b/a)
b) 18 feet
Step-by-step explanation:
The arc length is:
s = ∫ √(1 + (dy/dx)²) dx
y = a cosh(x/a)
y = ½ a (e^(x/a) + e^(-x/a))
dy/dx = ½ a (1/a e^(x/a) − 1/a e^(-x/a))
dy/dx = ½ (e^(x/a) − e^(-x/a))
(dy/dx)² = ¼ (e^(2x/a) − 2 + e^(-2x/a))
Plugging in:
s = ∫ √(1 + ¼ (e^(2x/a) − 2 + e^(-2x/a))) dx
s = ∫ ½ √(4 + e^(2x/a) − 2 + e^(-2x/a)) dx
s = ∫ ½ √(e^(2x/a) + 2 + e^(-2x/a)) dx
s = ∫ ½ √(e^(x/a) + e^(-x/a))² dx
s = ∫ ½ (e^(x/a) + e^(-x/a)) dx
s = ½ (a e^(x/a) − a e^(-x/a))
s = ½ a (e^(x/a) − e^(-x/a))
Evaluate from x=-b to x=b:
s = ½ a (e^(b/a) − e^(-b/a)) − ½ a (e^(-b/a) − e^(b/a))
s = ½ a e^(b/a) − ½ a e^(-b/a) − ½ a e^(-b/a) + ½ a e^(b/a)
s = a e^(b/a) − a e^(-b/a)
s = a (e^(b/a) − e^(-b/a))
s = 2a sinh(b/a)
We know that s = 48, and b = 20. We also know y = 30 when x = b.
48 = 2a sinh(20/a)
24 = a sinh(20/a)
30 = a cosh(20/a)
Using the given identity:
cosh²(20/a) − sin²(20/a) = 1
a² cosh²(20/a) − a² sin²(20/a) = a²
30² − 24² = a²
a² = 324
a = 18
Therefore, the wire will be 18 feet above the ground at the lowest point.
Aling Luz bought yards of linen cloth which cost Php 72.00 per
yard, She gave Php 1 000,00 to the cashier. How much change will she
8
Answer:
Php 973.00
Step-by-step explanation:
Aling Luz bought 3/8 yards of linen cloth which cost Php 72.00 per yard.She gave Php 1000.00 to the cashier.How much change will she?
Number of yards bought = 3/8
Cost of a yard = Phone 72.00
Cost of number of yards bought = Number of yards bought × Cost of a yard
= 3/8 × Php 72.00
= Php 27.00
She gave Php 1000.00 to the cashier.
How much change will she?
= Amount given to the cashier - cost of yards bought
= Php 1000.00 - Php 27.00
= Php 973.00
Rob travels 132 miles per hour. How long does it take him to travel 11 miles? Your answer should be in hours, accurate to at least the nearest tenth
keeping in mind that 1 hour has 60 minutes, then
[tex]\begin{array}{ccll} miles&minutes\\ \cline{1-2} 132 & 60\\ 11& x \end{array} \implies \cfrac{132}{11}=\cfrac{60}{x}\implies 12=\cfrac{60}{x} \\\\\\ 12x=60\implies x=\cfrac{60}{12}\implies x=5[/tex]
What is the congruence correspondence
Pamela stopped at 1.8 miles marker. where will she be if she walks one tenth of a mile towards camp? one mile towards camp?Explain
I am pretty sure it is a because 2 is half of 4 and 18 is half of 36.
Step-by-step explanation:
Pamela will be 1.7 miles if she walks one-tenth of a mile toward camp.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
At the 1.8-mile marker, Pamela stopped.
We have to determine the mile toward camp if she makes it a mile and a tenth of the way to camp.
Since a tenth of a mile is equal to one mile, if she is heading in the direction of the camp and the 1.8-mile marker is moving forward.
As per the given condition,
So remaining distance would be
⇒ 1.8 - (1/10)
⇒ 1.8 - 0.10
⇒ 1.7
Therefore, she will be 1.7 miles if she walks one-tenth of a mile toward camp.
Learn more about the arithmetic operations here:
brainly.com/question/25834626
#SPJ2
3x+21 6x-60 write an equation to solve for x you're only writing the equation for this problem. see what i mean and yes 27 is right for the next ty so much
Step-by-step explanation:
3x+21 6x-60
=3x+6x 21-60
=18x 81
d.b.s by 18
18/18×81/18
0/1×4.7/1
x=4.7
I thinkthat the answer
A student says the first step of the proof is "Reflect △ABC in AB←→ to create △ABC′." Which of the following statements logically comes next?
Reflecting the triangle ABC implies that the new position would be a mirror of the previous position
The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W
How to determine the next stepAfter reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.
This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point
Hence, the statement that logically comes next is (c)
Read more about transformation at:
https://brainly.com/question/4289712
A box contains 9 plain pencils and 1 pen. A second box contains 5 color pencils and 5 crayons. One Iter from each box is chosen at random. What is the
probability that a plain pencil from the first box and a color pencil from the second box are selected?
Write your answer as a fraction in simplest form.
0
DO
X
х
?
Answer:
9/2 or if that doesn't work try 4 1/2
Step-by-step explanation:
The probably of getting a plain pencil from the first box is 9/10. The probability of getting a color pencil from the second box is 5/10. If you multiply those you get 9/2 or 4 1/2.
The table shows yesterday’s change in value of four different stocks.
Answer:one is D
Step-by-step explanation:
brainliest? :(
Suppose that the functions f and g are defined for all real numbers x as follows.
Write the expressions for (f * g)(x) and (f - g)(x) and evaluate (f + g)(1).
Answer:
[tex](f\cdot g)(x)=2x^2+10x+12[/tex]
[tex](f-g)(x)=-x-1[/tex]
[tex](f+g)(1)=10[/tex]
Step-by-step explanation:
[tex]\tt f(x)=x+3[/tex]
[tex]\tt g(x)=2x+4[/tex]
[tex](f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12[/tex]
[tex]=2x^2+10x+12[/tex]
[tex](f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4[/tex]
[tex]=-x-1[/tex]
[tex](f+g)(1)=f(1)+g(1)=1+3+2(1)+4[/tex]
[tex]=4+2+4=10[/tex]
~
Will mark YOU brainliest!!!
Eric is a competitive eater. He can eat 2 pounds of chocolate candy bars in 6
minutes. Which of the following BEST expresses the weight of candy bars
Eric consumes each minute?
A. 1/3 pound of candy bars in 1 minute.
B. 1/4 pound of candy bars in 1 minute.
C. 2 pounds of candy bars in 1 minute.
D. 3 pounds of candy bars in 1 minute.
Answer:A
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively
Answer:
x = 30 degrees
y = 67 degrees
z = 83 degrees
Step-by-step explanation:
Let's first set up a few equations. We know:
x + y + z = 180
y + z = 5x
z = y + 16
Let's now solve our equations through substitution. We'll substitute variable z in equations one and two for (y + 16), which is possible thanks to our third equation.
Now, our second equation has become:
y + y + 16 = 5x
So...
5x = 2y + 16
Our first equation is now:
x + y + y + 16 = 180
So...
x + 2y = 180 - 16
And...
x + 2y = 164
Finally...
x = 164 - 2y
Let's take a look at our new first and second equations:
5x = 2y + 16
x = 164 - 2y
Let's substitute again, replacing x in the first equation with (164 - 2y).
Our first equation is now the following:
5(164 - 2y) = 2y + 16
We can apply the Distributive Property to get:
820 - 10y = 2y + 16
So...
-10y - 2y = 16 - 820
-12y = -804
y = 67
Now that we have found y, we can find x and z.
We know that the third angle z is 16 more than the second, y. That was our third equation, z = y + 16.
So, z = 67 + 16.
z = 83.
We know the sum of the y and z is five times the measure of x.
(83 + 67)/5 = 30
To check our work, we can do 67 + 83 + 30 = 180. So we know we are correct.
Which expression is equivalent to 5(h+9)?
45h
0 14h
5h+9
5h+45
Step-by-step explanation:
5(h + 9) = 5×h + 5×9 = 5h + 45
Answer: 5h+9!
Step-by-step explanation: hope this helps!! -marina mae :)