Answer:
5.1
Step-by-step explanation:
we have
5.1436
since 4 is less than five we cannot pass the 1 to 2
so it stays like
5.1
A rectangular box with a depth of 10 inches and a square base is to be manufactured by the Bold Box Company. The top of the box costs $1.20 per square inch, the bottom costs $.95 per square inch and the sides cost $.75 per square inch. Express the cost of manufacturing this box as a function of length.
Answer:
The cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
Step-by-step explanation:
From the statement we know that:
1) The box has a square base ([tex]w = l = x[/tex]).
2) The box has a depth of 10 inches ([tex]h = 10\,in[/tex]).
3) The cost of manufacturing the top of the box is $ 1.20 per square inch.
4) The cost of manufacturing the bottom of the box is $ 0.95 per square inch.
5) The cost of manufacturing each side of the box is $ 0.75 per square inch.
The total cost of manufacturing the box is:
[tex]C_{T} =C_{bottom} + C_{top} + 4\cdot C_{side}[/tex]
Where:
[tex]C_{bottom}[/tex] - Cost of the bottom of the box, measured in US dollars.
[tex]C_{top}[/tex] - Cost of the top of the box, measured in US dollars.
[tex]C_{side}[/tex] - Cost of the side of the box, measured in US dollars.
Dimensionally, cost equals unit cost, measured in US dollars by square inch, multiplied by surface area, measured in square inches. Now, the expression is expanded:
[tex]C_{T} = c_{bottom}\cdot x^{2}+c_{top}\cdot x^{2}+4\cdot c_{side}\cdot h\cdot x[/tex]
[tex]C_{T} =(c_{bottom}+c_{top})\cdot x^{2}+4\cdot c_{side}\cdot h \cdot x[/tex]
If we know that [tex]c_{bottom} = \$\,0.95\,in^{-2}[/tex], [tex]c_{top} = \$\,1.20\,in^{-2}[/tex], [tex]c_{side} = \$\,0.75\,in^{-2}[/tex] and [tex]h = 10\,in[/tex], the cost function of manufacturing this box is:
[tex]C_{T} = 2.15\cdot x^{2}+30\cdot x[/tex], where [tex]x[/tex] is the length of the box, measured in US dollars.
I can go alone and fly and get 20% off
the regular round-trip fare of $380.
I will have to take a taxi to and
from the college at a cost of $6.30 per
trip. I will have to be on compus
for 2 extra meals at a cost of $4.75 per
meal, and I will need to make
telephone calls to my parents at a cost
of $15.
What is the price of the student round-trip fare?. What is the total cost of the taxi fare?. What is the total cost to visit the college
The triangle below is an equilateral triangle. What is the perimeter of the triangle?
Answer:
[tex]5.4x+15[/tex] inches
Step-by-step explanation:
This is an equilateral triangle.
Therefore, all sides are equal to each other. This means that we don't need to go through the whole hassle of adding up all the sides together. We can just take the easiest side and multiply it by 3 (as the perimeter of an equilateral triangle is [tex]3s[/tex], s being the side length.)
In my opinion, the side [tex]1.8x+5[/tex] is the easiest to work with.
Let's multiply this by 3.
[tex]3(1.8x+5)[/tex]
We can apply the distributive property - multiply all terms inside the parentheses by 3.
[tex]1.8\cdot 3 = 5.4\\5\cdot3 = 15\\\\5.4x+15[/tex]
Hope this helped!
At the beginning pf the week , naveen had 87 trading cards. On monday he gets 9 more on tuesday he foves 16 away on wensday he us given 3 by a friend on thrusday he sells all of his cards to a collecter the coolecter pays him arate of c for every card that naveen has. If naveen earns 124.50 from the sale what is c the rate that the collecter pays for each card
Fifteen greater than y is at least 150
Answer:
y ≥ 135 or
y is at least 135
Step-by-step explanation:
Fifteen greater than y is at least 150
y + 15 ≥ 150y + 15 - 15 ≥ 150 - 15y ≥ 135Which means: y is at least 135
is this a function or not a function (2,5), (4, -2), (3,3), (5,4), (-2,5)
Answer:
Yes, it is a function
Step-by-step explanation:
A function is where there is no two of the same domain.
The domain is the first coordinate.
Hope This Helps :)
Answer: function
Step-by-step explanation:
V - W = uvw, solve for w
how do I do that?
Answer:
[tex]W=\frac{V}{UV+1}[/tex]
Step-by-step explanation:
[tex]V-W=UVW\\\\V-W+W=UVW+W\\\\V=UVW+W\\\\V=UVW+W\\\\V=W(UV+1)\\\\\frac{1}{UV+1}(V)= \frac{1}{UV+1}(W)(UV+1) \\\\W=\frac{V}{UV+1}[/tex]
Problem Solving Skills
Answer the questions below. Use the Problem Solving Skills that we discussed in class.
Look back in your notebook if you need a reminder.
7) Suppose that x and y are rational numbers such that x >y. Which of the following
inequalities must be true?
A. (x/>ly/
B. X'>y'
C. x+y > 0
D. X-y> 0
Answer:i think the answer is A(x/.ly/
Step-by-step explanation:
Answer:
D. x - y > 0
Step-by-step explanation:
Given:
x > y
Solution:
x - y > y - y . . . . . subtract y from both sides
x - y > 0 . . . . matches choice D
Tthe diagonals of a rectangle are twice as long as the shorter sides. calculate the angle between a diagonal and a short side.
Answer:
30°
Step-by-step explanation:
Let the length of shorter side of rectangle be x units.
Therefore, length of diagonal = 2x
In order to calculate the angle between a diagonal and a short side, we need to find the sin ratio of shorter side and diagonal of rectangle.
Let the measure of angle formed between shorter side and diagonal be [tex] \theta [/tex].
[tex] \therefore \sin \: \theta = \frac{x}{2x} \\ \\ \therefore \sin \: \theta = \frac{1}{2} \\ \\\therefore\sin \: \theta = \sin \: 30 \degree \\ ( \because \: \sin \: 30 \degree = \frac{1}{2}) \\ \implies \: \huge \red{ \boxed{\therefore\theta = 30 \degree }}[/tex]
Find the value of x in the diagram below
Answer:
x = 13
Step-by-step explanation:
a^2 + b^2 = c^2
5 = a 12 = b
5^2 + 12^2 = c^2
25 + 144 = c^2
c^2 = 169
square root of 169 = 13
The perimeter of a rectangle is represented by the expression 2 (3x + 1) + 22.
z is less than or equal to six
Answer:
z ≤ 6
Explanation:
z is less than or equal to: z ≤
z is less than or equal to six: z ≤ 6
Which y values are represented on the graph below?
What is a possible value of x if -5 < x< 0?
Answer:
x=-4,-3,-2or-1
Step-by-step explanation :0
Help! I need help with question 2 and 3. Thanks.
Answer:
Answer: SW IS 1.5 OKKKKKKKKK
11 = 4/5h - 1 solve for h
Answer: h = 15
Step-by-step explanation: 4/5 x 15 = 60/5 = 12, 12 - 1 = 11.
I need help if anyone can help me and explain it how to do it
Step-by-step explanation:
h(x) = f(g(x)), so h(x) is the same as g(x) substituted into f(x).
In this case, we can say f(x) = √x, and g(x) = 5x + 30.
f(g(x)) = √(5x + 30)
Find x so the distance between the points (x,2) and (-1,-2) is [tex]2\sqrt{5}[/tex]
x =_____ , ______
Answer:
x = -5 , 3
Step-by-step explanation:
(x₁ , y₁) = (-1, -2) & (x₂, y₂) = (x , 2)
[tex]Distance =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\\\\sqrt{(x - [-1])^{2}+(2-[-2])^{2}}=2\sqrt{5}\\\\\sqrt{(x+1)^{2}+(2+2)^{2}}=2\sqrt{5}\\\\\sqrt{(x)^{2}+2x+1+(4)^{2}}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+1+4}=2\sqrt{5}\\\\\sqrt{x^{2}+2x+5}=2\sqrt{5}[/tex]
Take square both sides,
x² + 2x + 5 = (2)²(√5)² {(√5)² = √5*√5 = 5 }
x² + 2x +5 = 4 * 5
x² + 2x + 5 = 20
x² + 2x + 5 - 20 = 0
x² + 2x -15 = 0
x² + 5x - 3x - 5*3 = 0
x(x + 5) -3(x + 5)=0
(x + 5)(x - 3) = 0
x + 5 = 0 ; x - 3 = 0
x = -5 ; x = 3
x = -5 , 3
Solve for r in terms of s, t, and u.
t=u-s+r
Answer:
r = t - u - s
Step-by-step explanation:
To solve for r in terms of s, t, and u, means to have r on one side and have t, u, and s.
t = u - s + r
t - u = s + r
t - u - s = r
L is the midpoint of KM. If KL = 14x and KM = 26x + 14, what is KL? Simplify your answer and write it as a proper fraction, mixed number, or integer. Please type the answer step by step.
Answer:
Step-by-step explanation:
L is the midpoint of KM. So, length of KL = length of LM
KL = LM = 14x
KL + LM = KM
14x + 14x = 26x + 14 {add the like terms}
28x = 26x + 14 {subtract 26x form both sides}
28x - 26x = 14
2x = 14 {divide both side by 2}
2x/2 = 14/2
x = 7
KL = 14x = 14*7
KL = 98
Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday? 15 h + 9 less-than-or-equal-to 110 15 h + 9 greater-than-or-equal-to 110 9 h + 15 greater-than-or-equal-to 110 9 h + 15 less-than 110
Answer: 9h+15 > 110
Step-by-step explanation: ed 2020
1. Is a blender a convection,conduction,or a radiation? please help
Answer:
Convection! :)
Step-by-step explanation:
simplify 5-(-1) Quickly answer pls
Answer:
5-(-1)
5+1
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5-(-1)
5+1
= 6
Given vertex form, how do you think changing the value
of "h" will transform the parent function (y = x²).
What is the area of the figure below
Answer:
22cm
Step-by-step explanation:
7+3=10
10+8=18
18+4=22
Name a line by any two points on the line, or a lowercase script letter.
Answer:
Step-by-step explanation: A B
Lines can be named using any two points on the line or using a single cusive lowercase letter.
Choose whether the sum is positive, negative,
or zero.
-3 + 3 is
The answer is zero
-n+n=0 Always
I really need help . 12 points
Answer:
it the 2nd or last one but i think its the 2nd one
Answer:
it is last no. cause no negative or decimal are counted as order pair
Step-by-step explanation:
I guess I was help full for u
plz follow me for more updates
Help please thanks.
Answer:
Step-by-step explanation:
[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)
There are 230 calories in a 48 g packet of M& M's. How many calories are in a 9.6 g bag?
Answer:
The answer is
46 caloriesStep-by-step explanation:
In order to solve this question we use ratio and proportion
From the question there are 230 calories in 48g of M & M's
That's
If in 48g of M & M's we have 230 calories
9.6 g will contain
[tex] \frac{9.6 \times 230}{48} \\ = \frac{2208}{48} [/tex]
We have the final answer as
46 calories
Hope this helps you