Answers
Related Questions
find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
Answers
Answer:
y = 1/2x + 1
Step-by-step explanation:
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will minimize the surface area?
Answers
Answer:
radius r = 3.414 in
height h = 6.8275 in
Step-by-step explanation:
From the information given:
The volume V of a closed cylindrical container with its surface area can be expressed as follows:
[tex]V = \pi r^2 h[/tex]
[tex]S = 2 \pi rh + 2 \pi r^2[/tex]
Given that Volume V = 250 in²
Then;
[tex]\pi r^2h = 250 \\ \\ h = \dfrac{250}{\pi r^2}[/tex]
We also know that the cylinder contains top and bottom circle and the area is equal to πr²,
Hence, if we incorporate these areas in the total area of the cylinder.
Then;
[tex]S = 2\pi r h + 2 \pi r ^2[/tex]
[tex]S = 2\pi r (\dfrac{250}{\pi r^2}) + 2 \pi r ^2[/tex]
[tex]S = \dfrac{500}{r} + 2 \pi r ^2[/tex]
To find the minimum by determining the radius at which the surface by using the first-order derivative.
[tex]S' = 0[/tex]
[tex]- \dfrac{500}{r^2} + 4 \pi r = 0[/tex]
[tex]r^3 = \dfrac{500 }{4 \pi}[/tex]
[tex]r^3 = 39.789[/tex]
[tex]r =\sqrt[3]{39.789}[/tex]
r = 3.414 in
Using the second-order derivative of S to determine the area is maximum or minimum at the radius, we have:
[tex]S'' = - \dfrac{500(-2)}{r^3}+ 4 \pi[/tex]
[tex]S'' = \dfrac{1000}{r^3}+ 4 \pi[/tex]
Thus, the minimum surface area will be used because the second-derivative shows that the area function is higher than zero.
Thus, from [tex]h = \dfrac{250}{\pi r^2}[/tex]
[tex]h = \dfrac{250}{\pi (3.414) ^2}[/tex]
h = 6.8275 in
A certain city's power company charges their residents for electricity usage on a daily basis. There is a basic charge of 11.6 cents. For each day the first 10 kWh cost 4.59 cents per kWh and any additional kWhs are 9.71 per kWh. (A kWh, or kilowatt-hour, is a unit of energy.)
Complete the following table using the information provided above.
KWh 0 5 10 15 20
cost(dolllar)
KWh 25 30 35 40
cost(dolllar)
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Answer:
Table of charges:
KWh 0 5 10 15 20
Basic charge (cents) 11.60 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 0 22.95 45.90 45.90 45.90
Additional usage above 10 kWh 0 0 0 48.55 97.10
(9.71 cents)
Total (cents) 11.60 34.55 57.50 106.05 154.60
cost (dollar) 0.12 0.35 0.58 1.06 1.55
KWh 25 30 35 40
Basic charge (cents) 11.60 11.60 11.60 11.60
Charge for first 10 kWh (4.59cents) 45.90 45.90 45.90 45.90
Additional usage above 10 kWh 145.65 194.20 242.75 291.30
(9.71 cents)
Total (cents) 203.15 251.70 300.25 348.80
cost (dollar) 2.03 2.52 3.00 3.49
Step-by-step explanation:
a) Data:
Basic charge = 11.6 cents (0.116)
Charge for the first 10 kWh = 4.59 cents (0.0459)
Charge for additional usage above 10 kWh = 9.71 cents (0.0971)
b) Each kWh consumed or not attracts the basic charge of 11.6 cents. The first 10 kWh consumed is billed at 4.59 cents, while the additional kWh consumed is charged at 9.71 cents. The charge per consumption is first totaled in cents before being converted to dollars by dividing by 100.
A fence surrounds two sides of the
backyard. The total length of the fence is 86
feet, with the longest portion measuring 51.5
feet. What is the length of the second side of
the fence?
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Answer:34.5
Step-by-step explanation:
86-51.5= 34.5
It’s a picture^^^^^^^^
Answers
Answer: F
Step-by-step explanation: 5+6+7x8=67
Triangle DEF is a right triangle. The length of the legs are 7 cm and 10 cm, how long is the hypotenuse? Round to the nearest tenth if possible.
Answers
Answer:
12.2
Step-by-step explanation:
7^2 + 10^2 = C^2
49 + 100 = C^2
149 = C^2
√149 = 12.2
C= 12.2
Which expression has the same value as the sum of 45 and 25?
14+10
5(9+5)
9(5+5)
5(8) +5(5)
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when you open the parentheses you get 45+25
PLZ HELP ANSWER!!!!!
Answers
Answer:
Step-by-step explanation:
so, i might be wrong but i hope this helps.
The slope will be the same for a straight line no matter which two points you pick as you know. All you need to do is to calculate the difference in the y coordinates of the 2 points and divide that by the difference of the x coordinates of the points(rise over run). That will give you the slope.
The cost of an Internet service subscription varies directly with the length of the subscription. A 3 month subscription costs $32.85. How much does a 12 month subscription cost?
Answers
Answer:
the answer is 131.4
Step-by-step explanation:
32.85/3= 10.95
10.95×12= 131.4
please help will give u brainliest pls help me
Answers
Answer:
19
Step-by-step explanation:
1/2*(5+x)*4=48
Area= 1/2 x (a+b) x h
So the formula will work oppositely
4 cm is the height while 5 and the other 5 is sides.. sorry i can’t find the formula now
HELPPPP PLEASEEEE You buy dinner for the family at McDonald's. The meal totals $21.45, and
you pay the cashier $25.50, how much change will you get back? *
Answers
Answer:
$4.05
Step-by-step explanation:
For this problem, all you need to do is subtract $21.45 from $25.50.
Answer:
4.05
Step-by-step explanation:
cause i know i know already
Find the total price of a $20 item that has been marked up 40%.
Answers
Answer:
$28
Step-by-step explanation:
20 * 1.4 = 28
Hence, the answer is $28.
Please mark as Brainliest!!!Answer: 8
Step-by-step explanation: Given: the price is 20 dollars and if we mark it up the revenue is 28
Please answer test!
Are these shapes similar?
Answers
this one is really hard
Answers
Answer:
W=P-2L / 2
Step-by-step explanation:
P=2(L+W)
P=2L+2W
-2L -2L
P-2L=2W
W=P-2L / 2
Choose the four factor pairs of 42.
A. 1 and 42
B. 2 and 21
C. 3 and 14
D. 4 and 12
E. 5 and 8
F. 6 and 7
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Answer:
the factors of 42 in pairs are (1, 42), (2, 21), (3, 14) and (6, 7).
Step-by-step explanation:
May I get brainelist?
What is the slope of the line
Answers
Answer:
B.
Step-by-step explanation: Because when you count them down to 3/5 It's more in the negative.
Remember Rise over Run, Rise/Run
In this case it rises -3 and runs 5 :)
Evaluate 10-3m when m=-5
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is my awnser is 73.97$ what's the 6.25% tax I have to convert 6.25 to a decimal CASLAN
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Answer:
Not sure I understand your question.
If the tax rate is 6.25% and you need the tax from $73.97, tax is:
= 6.25% * 73.97
= $4.62
Converting 6.25% to decimal.
First understand that when a percent sign(%) is next to a number it means that the number is a fraction and its denominator is 100.
6.25% = 6.25/100
To convert to decimal, divide the numerator by the denominator:
= 6.25 ÷ 100
= 0.0625
Which expression shows a way to find 20% of 950? Please help, I will rate all stars and a thanks if I can. (On i-Ready)
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Answer:
1/5 . 950
This is cause 20% =20/100 and when reduced it is 1/5
Alyssa collects coins. ¾ of her coins are quarters, ⅔ of the remaining coins are dimes. The rest were nickels. There were 12 nickels. How many coins were in Alyssa’s collection?
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Answer:
144 coins counting the nickels 132 not counting the nickels
Step-by-step explanation:
What is the slope in this equation: y=0.5x + 3 *
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Zaire, Manny, Richard, Navid and Gregory found a rope that was 271.5 feet long. If they cut the rope into equal pieces, what was the length of each piece of rope?
helppppppppppppppppp
Answers
Answer:
43.5
Step-by-step explanation:
217.5/5
43.5
In the diagram, A ABC and A CDA are congruent. A B 44 7 5 4 4 What is the length of AD? O A. 3 units B. 4 units oc. C. 5 units OD. 6 units E, T units
Answers
Answer:
5 units
Step-by-step explanation:
if they are congruent that means that the corresponding sides have the same lenghts. in this case ad's corresponding side is bc, which is 5 units and so is ad respectively
HELP! whoever gets it right gets brainliest!!
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Answer:
2
Step-by-step explanation:
pls help! :( if you get it right I’ll give brainliest!!
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Answer:
2.3 A
Step-by-step explanation:
Its 2.3 what am I supposed to say
This will be so helpful right now thank
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Answer:
55 ft.
Step-by-step explanation:
First find the area of Lot X
67 • 70 = 4,690
Subtract the are of Lot X from the total area
8,375 - 4,690 = 3,685
3,685 is the area of Lot Y
Now divide 3,685 by the length of Lot Y : 67
3,685 ÷ 67 = 55
The width of Lot Y is 55 ft.
Hope this helps!
which graph shows a system of equations with infinitley many solutions
Answers
Answer:
where are the equation I don't see them
Heather is building a ladder for her tree house. She will need 13 feet of lumber for each stilt and 2 feet of lumber for each rung on the ladder. How many feet of lumber does she need for a ladder with 2 stilts and 12 rungs?
29 feet because 2 + 13 + 12 + 2 = 29
50 feet because 2 (13) + 12 (2) = 50
160 feet because 13 (12) + 2 (2) = 160
210 feet because (2 + 13) (12 + 2) = 210
Answers
Answer:
B. 50
Step-by-step explanation:
For two stilts, you'd multiply 13 by two.
2(13) = 26
For twelve rungs you multiply 2 by 12.
12(2) = 24
Then you add the two numbers together to see how much would she needs.
24 + 26 = 50
This gives you the answer, which is equivalent to B.
Answer:
B. 50
Step-by-step explanation:
For two stilts, you'd multiply 13 by two.
2(13) = 26
For twelve rungs you multiply 2 by 12.
12(2) = 24
Then you add the two numbers together to see how much would she needs.
24 + 26 = 50
This gives you the answer, which is equivalent to B.
Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
3 ounces butter
4 ounces sugar
5 ounces of flour
2 eggs
1 teaspoon (tsp) baking powder
Answers
Answer:
12 ounces butter
16 ounces sugar
20 ounces flour
8 eggs
4 teaspoons baking powder
Step-by-step explanation:
just times everything individually by 4
Kris bought a 6 pack of water bottles for $4.79. Find the unit rate to the nearest cent.
Answers
Step-by-step explanation:
Kris bought a 6 pack water for =4.79$
So,
1 unit of water bottle =[tex]\tt{\dfrac{4.79}{6}=0.798333....=0.80\$ }[/tex] ⠀