The volume of a cylinder with radius r and height his v = 7h
A barrel in the shape of a circular cylinder is 30 inches in diameter and 42 inches tall.
Approximately what is the volume of the barrel in gallons?
(Use 1 gal - 231 in)
Answer: 128.5 gallons
Step-by-step explanation:
V= πr²h
V=π15²42
V= 29688.05058in³ ÷ 231 ≈ 128.5 gallons
Note- It would mean the world to me if you could mark me brainliest!
Which is the percentage in "27 is 15%of 180"
Answer:
15%
Step-by-step explanation:
180 x 15% = 27
A sports memorabilia collector needs to create a display case to show her baseball cards
at a garage sale. She will create the case in the shape of a rectangular prism with no lid.
The box will be created by cutting square corners out of a piece of cardboard with
dimensions 40 inches by 60 inches. What equation should be used to maximize the
volume of the box?
Answer:
For a box of length L, width W, and height H, the volume is:
V = H*L*W
in this case, we have a piece of cardboard of dimensions 40in by 60 in.
If we cut squares of side length X in the corners and we fold the corners, we will have a height of X.
And we can define:
Length = 60in - X
Width = 40 in - X
Then the volume of the box will be:
V = X*(60in - X)*(40in - X)
V = X^3 - 100in*X^2 + 2400in^2*X
We want to maximize this, then we need to find the zero of the first derivative.
We have that:
V' = 3*X^2 - 2*100in*X + 2400in^2
V' = 3*X^2 - 200in*X + 2400in^2
This is the equation we will use to maximize the volume of the box, but let's not end here, let's complete the problem and find the value of X and the maximum volume.
We want to solve:
V' = 0 = 3*X^2 - 200in*X + 2400in^2
For X.
Then we can use Bhaskara's formula, we will get that the solutions are:
[tex]X = \frac{-(-200in) +-\sqrt{(-200in)^2 - 4*3*(2400in)} }{2*3} = \frac{200in +- 105.8in}{6}[/tex]
Then we have two possible solutions for X.
X = (200in + 105.8in)/6 = 50.97 in
But this is larger than the side of 40 in, so we can not cut this much, we can discard this option.
The other one is:
X = (200in - 105.8in)/3 = 15.7in
This seems correct.
Then the maximum volume of the box is:
V = 15.7in*(60in - 15.7in)*(40in - 15.7in) = 16,900.893 in^3
Abduls bill at a restaurant is $28.65. He wants to leave and 18% tip for the waiter.what is the total amount abdul should leave? round to the nearest cent.
Answer:
I believe it will be 5.16.
Step-by-step explanation:
18% of 28.65 is 5.157, but rounded to the nearest cent will be 5.16. So 5.16 will be your answer. If this is wrong forgive me :3
hi this is due in 10 minutes so im gonna dump some question you you :p
1. A cupcake recipe calls for 4 cups of flour and 2 cups of sugar. Angelica only has 3 cups of flour. How much sugar would she need to keep the ratio equivalent if she uses all the flour she has? Show your mathematical thinking below and then chose the amount of sugar she needs to use
2. Your parents are interested in the amount of sugar in two drinks. The apple juice has 216 grams of sugar for every 8 servings. The soda has 234 grams of sugar for every 9 servings.
3. The Workman's family car travels 165 miles in three hours. Their cousins' family car travels 150 miles in two hours. If the family reunion is 900 miles away for both families, and assuming both families travel at their same rate for the entire trip, who will arrive first? First you will need to find the speed at which each car travels. This is the unit rate - miles per hour
thats all, i dont have much points but here is what i have left :,)
Answer:
1. You need 1.5 cups of sugar because the ratio is that the flour is always double the sugar and 3/2 is 1.5
2. 27 grams of sugar per serving for apple juice and 26 grams of sugar per serving for soda
3. The workman's car goes 55 miles per hour and their cousins goes 75 miles per hour
Step-by-step explanation:
Jim had 3 cups. He filled each cup 2 and 1/2 full of water. How much water is there altogether
What is -7/5 + -7/2?
Answer:
-49/10 or -4 9/10
Step-by-step explanation:
-7/5 + -7/2 = -14/10 - 35/10 = -49/10 = -4 9/10
Can someone help me plz!!! I need to find what ? Equals to
Answer:
135 degrees
Step-by-step explanation:
the angle across from 35 degrees is 35 degrees also because it is an alternate angle.
All triangles contains 180 degrees so:
180-100-35=45
45 is the angle supplementary to ?
180-45=135 degrees because it is a supplementary angle
What is the domain of the function in this table?
Answer:
D. {1,2,3,4}
Step-by-step explanation:
The domain can only be x-values.
Two angles are supplementary the first angle is 93 what is the measure of the second angle
Answer:
The second angle is 87.
Step-by-step explanation:
Supplementary angles = 180.
180 - 93 = 87.
Select the correct answer.
Complete the following analogy with the word that best suits the pattern.
Friendly is to outgoing as biting is to ?
Friendly is to outgoing as biting is to inclusiveness or imitatin
An analogy is a means of comparing one word with another word with the aim of clarification. These words can be either anonymous or synoymous depending on the sentence.Based on the given sentence, we are given the analogy that Friendly is to outgoing shows that friendy people are outgoing (synonymous).
We are to get the equivalent of the word biting. Biting can mean to imitate or to copy.
Hence based on the option we can infer that biting is to inclusiveness
Learn more on analogy here: https://brainly.com/question/24452889
Answer: Friendly is to outgoing as biting is to _____.
nuanced
inclinational
incisive
denounce
Step-by-step explanation:
incisive is the answer edmentum
A pizza shop charged $49.57 for 3 large pepperoni pizzas. This price included a $2.50 delivery fee. What was the price of one large pepperoni pizza? WRITE and SOLVE an EQUATION. Use p as your variable and show your work.
Plz help me, im stuck on this question, It says
Find the perimeter of the following rectangle,
Write your answer as a mixed number in simplist form,
Be sure to include the correct unit in your answer.
[tex]perimeter = 2(3 \frac{1}{10}) + 2 (\frac{3}{4}) [/tex]
[tex]perimeter = \frac{31}{5} + \frac{3}{2} [/tex]
[tex]perimeter = \frac{62}{10} + \frac{15}{10} [/tex]
[tex]perimeter = \frac{77}{10} [/tex]
[tex]perimeter = 7 \frac{7}{10} [/tex]
The unit is just cm.
//
I might not be right. Double check to make sure. Hope that gives you a general idea of how to do it.
Answer:
Perimeter of rectangle =2(l+b)
=2(3*1/10+3/4)
=2(3/10+3/4) (lcm=40)
=2(12/40+30/40)
=2(42/40)
=42/20
= 21/10
=21/10 cm
Which pairs of triangles appear to be congruent? Check all that apply.
Answer:
1 3 ...................rotate 3 and it is the same as 1
10x + 6 = -2x + 18 solve for x
Answer:
x=1
Step-by-step explanation:
10x + 6 = -2x + 18
add 2x to both sides
10x+6+2x =18
subtract 6 from both sides
10x+2x=18-6
add like terms
12x=12
divide by 12 on both sides
x=1
18 meters= how many centimeters
Answer:
1800
Step-by-step explanation:
can i have brainliets, please? hee hee
18m
to convert into cm;
=18x100
=1800cm
Mrs.Dimitri purchased a case of yogurt cups. Out of every 10 yogurt cups, 6 are strawberry. There are 30 guy hurt cups in the case. How many yogurt cups are strawberry?
Answer:
18
Step-by-step explanation:
30 yogurt cups divided by 10 (yogurt cups) would be 3 (groups of yogurt cups).
As stated, for every 10 cups, 6 are strawberry.
6 strawberry cups times 3 (groups) would be 18.
To make 3 dinner rolls, 3/4 cup of flour is used. How many rolls can you make with 2 1/2 cups of flour?
Answer: I can make 10 rolls with 2 1/2 cups of flour
Step-by-step explanation:
3/4 cup of flour can makes 3 Dinner rolls
Therefore 2 1/2 cups of flour will make
=2 1/2 x 3) / (3/4)
(5/2 x 3 ) / ( 3/4)
(15/2) /(3/4)
7.5/ 0.75 = 10 rolls
d(n) = d( n - 1) + 0.4
Answer:
d'(n) = d
Step-by-step explanation:
A frozen yogurt shop sells 4 different types of fruit-flavored frozen yogurt. This is 20% of the flavors they sell. How many flavors do they sell?
Using the Distance Formula to find the distance between the two points.
A (-3,4) B (1,3)
PLEASE HELP- URGENT
3. A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3.14 for (pi) . SHOW YOUR WORK!
If you show work along with correct answer, I will give brainliest.. PLEASE HELP
9514 1404 393
Answer:
54.85 mm
Step-by-step explanation:
The circumference of the wheel is given by ...
C = πd
C = (3.14)(559 mm) = 1755.26 mm
When this is divided into 32 equal arcs, each one of them is ...
(1755.26 mm)/32 = 54.851875 mm
Rounded to the nearest hundredth, the arc length is 54.85 mm.
Josie and Allanah are each saving money. Josie starts with 100$ per week in her savings account and adds 5$ per week. Allanah starts with 10$ in her savings account and adds 20$ each week. 1) Write equations to represent josie's savings and alana's saving.(you should have 2 different equations)
Answer:
Josie: 100 + 5x
Allanah: 10 + 20x
x is to represent the unknown variable of how many times they will repeat this process.
Step-by-step explanation:
joy Joyce jalana saving money Joyce start with Android account and $55 per week count and write the equation represent the noise is saving and saving you should have two different equation
Which term has the definition "The mean, median, or mode of a dataset. Aholnoma
central tendency"?
O Variance
O Standard Deviation
O Variability
O Center
Answer:
variability is my guess
10 tacos and 6 drinks cost $19.50. 7 tacos and 5 drinks cost $14.25. If t is the cost of one taco and d is the cost of one drink, which of the following systems of equations represents this situation?
Answer:
Step-by-step explanation:
You haven't listed any choices.
10t + 6d = 19.50
7t + 5d = 14.25
What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x - 2 ?
A.
a vertical dilation by a factor of and a horizontal shift to the right 2 units
B.
a vertical dilation by a factor of and a vertical shift down 2 units
C.
a vertical dilation by a factor of 3 and a vertical shift down 2 units
D.
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units
Answer:
C
Step-by-step explanation:
lol didn't i just answer one of your questions, also give me brainliest pls :)
First, the function was multiplied by 3, which is a vertical dialation by a factor of 3. Then, we subtracted 2 from the function, which is a vertical shift down two units. Therefore, the answer is C
The transformations are applied to the graph of the function should be option c. a vertical dilation by a factor of 3 and a vertical shift down 2 units
What transformation should be applied:Since
First, the function should be multiplied by 3, that represent vertical dilation by a factor of 3. After this, we subtracted 2 from the function, i.e. is a vertical shift down two units.
Therefore, the answer is C a vertical dilation by a factor of 3 and a vertical shift down 2 units.
Learn more about transformations here: https://brainly.com/question/19560160
Simplify -4(x + 1) + 6x. Write your answer in factored form.
Answer:
hope this helps
2x-4
Step-by-step explanation:
Find the ten missing angles labeled in the diagram. Line a is parallel to line b. The measures of two angles are given.
Answer:
m∠3 = 112° m∠5 = 38° m∠6 = 68° m∠8 = 74°
You do the others
Step-by-step explanation:
Facts you need to solve this problem.
1. Vertical angles are congruent
2. Alternate interior angles are congruent when lines are parallel
3. Sum of the measures of the angles of a triangle is 180
4. Adjacent angles are supplementary when two lines intersect
m∠3 = 112° (Reason 1 above)
m∠6 = 180 - 112 = 68° (Reason 4)
m∠6 + m∠5 + 74 = 180° (Reason 3)
68 + m∠5 + 74 = 180
142 + m∠5 = 180
m∠5 = 38°
m∠8 = 74° (Reason 2)
That gives you a start, so I will let you find all the others. OK? I know you don't want to do that, but you need to be able to do this type of problem. Now, go for it!!
Does the image reflect over the x or y axis ?
Answer:
actually both
Step-by-step explanation:
have a great day
A dentist conducts a survey to determine whether a certain brand of mouthwash improves gum health more than others. When his patients come in for their regular cleanings, the dentist surveys them about their mouthwash use and makes a conclusion based on the survey results. The conclusion drawn from the study is because the sample is . In this instance, an study was conducted.
Answer: The conclusion drawn from the study is *invalid* because the sample is *biased*. In this instance, an *inappropriate* study was concluded.
Answer:
The conclusion drawn from the study is NOT VALID because the sample is BIASED. In this instance, an INAPPROPRIATE study was conducted.
Please mark me brainliest, I really need it.