Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
Step-by-step explanation:
Given: For lid of the spherical shaped bottle,
Diameter = 5 cm
Height = 4.5 cm
Radius = Half of diameter = 2.5 cm
Volume of cone = [tex]\dfrac13\pi r^2 h[/tex]
Volume of lid [tex]=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3[/tex]
Surface area of cone = [tex]\pi r\sqrt{h^2+r^2}[/tex] [as lide has no base we don't include area of base.]
Surface area of lid = [tex](3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3[/tex]
Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.
What is the product of 1/2x1/8
Answer:
1/16
Step-by-step explanation:
Ten less than half of a number(x) is 6.
Answer:
x = 32
Step-by-step explanation:
Given the following data;
Unknown number = x
Translating the word problem into an algebraic equation, we have;
[tex] \frac {x}{2} - 10 = 6[/tex]
Lowest common denominator (LCD) = 2
We multiply all through by 2;
[tex] 2* \frac {x}{2} - 2*10 = 2*6[/tex]
[tex] x - 20 = 12[/tex]
[tex] x = 12 + 20[/tex]
x = 32
Therefore, the unknown number is 32.
Please help me
Which of the following equations have exactly one solution?
Choose all answers that apply:
A--5x+12=-12x-12
B--5x+12=5x-5
C---5x+12=5x+12
D---5x+12=-5x-12
9514 1404 393
Answer:
A) 5x+12 = -12x-12
D) 5x+12 = -5x-12
Step-by-step explanation:
If you subtract the right side expression from both sides, you will get an equation with something equal to zero. If the 'something' has a variable in it, there is exactly one solution.
A: (5x+12) -(-12x-12) = 17x+24 = 0 . . . one solution
B: (5x+12) -(5x-5) = 17 = 0 . . . . no solutions
C: (5x+12)-(5x+12) = 0 = 0 . . . . infinite solutions
D: (5x+12) -(-5x-12) = 10x +24 = 0 . . . one solution
factor the expression below
-r -8
Answer:
-(r+8)
Step-by-step explanation:
A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20 . The probability of the arrow landing on a section colored blue is 6 over 20 . What is the probability of the arrow landing on a green-colored section? (1 point)
Group of answer choices
15 over 20
11 over 20
6 over 20
5 over 20
Answer:
11 over 20
Step-by-step explanation:
Answer: 5/20
Step-by-step explanation:
9/20+6/20=15/20
20/20-15/20=5/20
4+a cuz I don’t get this
Answer:
This isn't a question lol
Put the question in the replies to this answer and I'll gladly answer it for you.
Step-by-step explanation:
May I have brainliest please? :)
Need help with this question please
Answer:
15cm
Step-by-step explanation:
37 + 18 + x + x = 85
2x = 85 - 37 - 18
x = 15cm
This is a question on polygons. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Answer:
15
Step-by-step explanation:
I get brainliest please
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Answer:
2/3
4
3.
An airplane is flying from New York City to Los Angeles. The distance it travels in
miles, d, is related to the time in seconds, t, by the equation d = 0.15t.
d= 0.15
1
0.157
t
(seconds)
1
30
d
(miles)
0.15
0.15 x 1
0.15 x 30
12.75
a.
How fast is it flying? Be sure to include the units.
b.
How far will it travel in 30 seconds?
C.
How long will it take to go 12.75 miles?
4.
Crater Lake in Oregon is shaped like a circle with a diamet
Step-by-step explanation:
you are saving money for a new iPhone. You've already save $249 and you make nine dollars per hour at work. How many hours, (h), must you work to have enough money to buy a $699 iPhone? Which inequality models this situation?
Answer: about 78 hours if you round up the answer!
Step-by-step explanation:
Answer:
$249 + 9h > $699Step-by-step explanation:
We will start with $249 and then add the inequality for h. Note that the number can be larger than 699, but not lower.
$249 + 9h > $699Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope.
(4,6); m=2
Answer:
The equation in point-slope form is [tex]y-6=2(x-4)[/tex].
Step-by-step explanation:
We are given the slope and a coordinate pair of a line.
Slope: 2Coordinate Pair (x, y): (4, 6)Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:
[tex]\displaystyle y-y_1=m(x-x_1)[/tex]
We can label our coordinate pairs with the [tex](x_1, y_1)[/tex] labeling method.
Therefore, since our two coordinates are:
x = 4y = 6We can label 4 as x₁ and 6 as y₁.
Then, we are able to determine m, or our slope.
m = 2Now, let's set up our equation.
[tex]\displaystyle y - y_1 = m(x - x_1)\\\\y - 6 = 2(x - 4)\\\\y - 6 = 2x - 8\\\\y = 2x - 2[/tex]
Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).
Use the properties of exponents to simplify: 3^0 ≠ 1 True False
Answer:
True
Step-by-step explanation:
Bcuz, some thing's power 0is 1
According to the zero power rule of exponents, 3^0 = 1. The statement 3^0 ≠ 1 is FALSE.
What is the Zero Power Rule of Exponents?The zero power rule is a property of exponents which simply states that whatever base that is raised to the power of zero would always be equal to one, i.e., x^0 = 1.
We are given that 3^0 ≠ 1. Based on the zero power rule of exponents, this is FALSE because 3^0 = 1.
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a student is painting a room at a constant rate she is able to paint 2/5 of the room in 1/2 of an hour how long does it take to paint the whole room
Answer:
She is able to paint 2/5's of the room in 1/2 hour. How long does it take to paint the whole room? = 7.5 minutes. Hence, it will take 5*7.5 = 37.5 minutes to paint the entire room.
Answer:
1 1/4 Hours
Step-by-step explanation:
2/5+2/5=4/5
4/5=1 hour
1/2/1/2=1/4
1/5 room in 1/4 hour
1+1/4=1 1/4 hours
Explain why the expression below always has the same value, no matter what number other than zero you choose for p.
P-2P+3p-4P
---------------
P
Answer and explanation:
The expression P-2P+3P-4P cannot have the same values for different values of P. Let us illustrate this by substituting different values of P in the expression:
If P= 2
Substitute P=2 in the expression
2-2×2+3×2-4×2
=2-4+6-8
=-4
If P= 3
Substitute P=3 in the expression
3-2×3+3×3-4×3
=3-6+9-12
=-6
If P = 1
Substitute P=1 in the expression
1-2×1+3×1-4×1
= 1-2+3-4
= -2
If P = -2
Substitute P=1 in the expression
-2-2×-2+3×-2-4×-2
= -2+4-6+8
=4
Therefore we can see from the above that the expression has different values for different values of P
The perimeter of a rectangular field is 318 yards. If the width of the field is 62 yards, what is its length?
Answer:
2 * Length + 2 * width = 318
2 L = 318 - 2 * 62
2 L = 194
Length = 97 Yards
Step-by-step explanation:
Write the solution set in interval notation.
First, you need to solve the inequalities.
[tex]4q\geq -16[/tex]
[tex]q\geq -4[/tex]
[tex]q+3<7[/tex]
[tex]q<4[/tex]
Now let's write the interval notation for the first one.
The lowest number for this would be -4. q cannot be less than negative -4. Since q can be -4 OR greater than, you use brackets. [-4,
q can be anything greater than -4. So the second number is infinity. Infinity uses parentheses because it is no exact number.
So the interval notation for the first inequality is [-4, ∞).
Now let's write the interval notation for the second one.
q can be anything less than 4. So the first number would be negative infinity: (-∞
q cannot pass 4, so the second number would be 4. Since q does not include 4, you use parentheses: 4)
The interval notation for the second inequality is (-∞, 4).
The interval notation for this compound inequality is [-4, ∞) or (-∞, 4).
Sorry if this was long and confusing. Hope this helped!
Which expression is not equivalent to 1/16?
Answer:
Is there any answer choices?
Step-by-step explanation:
Answer:
answer choices??
Step-by-step explanation:
What is the slope of the line?
Answer:
m=3/4
Step-by-step explanation:
Get the points from the graph:
(4,2) and (-4,-4)
Slope formula is m= (y_2-y_1)/(x_2-x_1)
m=(-4-2)/(-4-4)
m=-6/-8
Simplify: 3/4
To celebrate the first day of spring, Lin is putting stickers on some of the 100 lockers along one side of her middle school's hallway. She puts a skateboard sticker on every 4th locker (starting with locker 4), and a kite sticker on every 5th locker (starting with locker 5). Name three lockers that will get both stickers. After Lin makes her way down the hall, will the 30th locker have no stickers, 1 sticker, or 2 stickers? Explain how you know.
Answer:
The 30th sticker will have a sticker. The sticker will be 1 sticker (Kite Sticker) which will be put on the locker by Lin. This is because, following the arithematic progression of the sticker placement:
Locker 5 = Kite sticker
locker 10 = Kite sticker
Locker 15 = Kite sticker
.
.
Locker 30 = Kite sticker
It could be seen that at locker 30, the sticker to be placed by Lin will be Kite sticker
Step-by-step explanation:
Evaluate: 3x^2 + y when x=1 and y=-3 *
Answer:
0
Step-by-step explanation:
x=1 and y=-3
so 3x^2 + y = 3*1^2 + (-3)
= 3* 1 -3
=0
Which number(s) below belong to the solution set of the equation? Check all
that apply.
x + 12 = 13
D A. 13
B. 312
O C. 14
O D.O
O E. 1
F. 25
Answer:
E
Step-by-step explanation: 1+12=13
What is 5X - 5 distributive property
Answer: 5(x-1)
Step-by-step explanation:
5*x = 5x
5*-1 = -5
therefore the answer is 5(x-1)
5x-5 distributed is 5(x-1).
The common factor of 5x and 5 is 5.
5x divided by 5 is 1x or x.
5 divided by 5 is 1.
So the answer is 5(x-1).
(3x^4-12x^3-5x^2-18+8) (x+4)
Answer:
=3x^5−53x^3−20x^2−10x−40
Step-By-Step explanation:
=(3x^4+−12x^3+−5x^2+−18+8)(x+4)
=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)
=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32
=3x^5−53x^3−20x^2−10x−40
The triangles in the picture are congruent by which method
Which statement about 8 x 9/9
is true?
A) The product will be greater than 8.
B) The product will be less than 1. C) The product will be equal to 8. D) The product will be less than 8.
Answer:
C
Step-by-step explanation:
9/9 is just 1. Therefore, 8*1 is 8. C is correct
The sum of two numbers is 46. The difference of those numbers is 22. What are the two numbers?
Answer:
34 and 12
Step-by-step explanation:
so two numbers are x and x-22
then x+x-22=46
2x=68
x=34
x-22 = 12
The numbers are 34 and 12, which gives sum 46 and difference 22.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Let the two numbers are a and b.
According to given conditions,
The sum of a and b is 46,
And the difference of a and b is 22.
Implies that,
a + b = 46 (1)
a - b = 22 (2)
Add equation (1) and (2),
2a = 68
a = 34
Substitute the value of a in equation 1 to get the value of b,
34 + b = 46
b = 46 - 34
b = 12
The required numbers are 34 and 12.
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- 1/2 - 2/3v = 4/5 please help
Answer:
v = - [tex]\frac{39}{20}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{2}[/tex] - [tex]\frac{2}{3}[/tex] v = [tex]\frac{4}{5}[/tex]
Multiply through by 30 ( the LCM of 2, 3 and 5 )
- 15 - 20v = 24 ( add 15 to both sides )
- 20v = 39 ( divide both sides by - 20 )
v = - [tex]\frac{39}{20}[/tex]
Answer:
[tex]v=-\frac{39}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}[/tex]
Add 1/2 to both sides
[tex]-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}[/tex]
[tex]-\frac{2}{3}v=\frac{13}{10}[/tex]
Multiply both sides by 3
[tex]3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}[/tex]
[tex]-2v=\frac{39}{10}[/tex]
Divide both sides by -2
[tex]\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}[/tex]
[tex]v=-\frac{39}{20}[/tex]
Therefore,
[tex]v=-\frac{39}{20}[/tex]
Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of these is closest to the percent increase or decrease for Diego's measurement?
Answer: 4.5%
Step-by-step explanation:
From the question, we are informed that Diego measured the length of a pen to be 22 cm while the actual length of the pen is 23 cm.
The percentage decrease in his measurement will be:
= (23 - 22)/22 × 100
= 1/22 × 100
= 4.5%
Answer:
4.3%
Step-by-step explanation:
Two whole numbers have a least common multiple of 60. Each number is lesss than or equal to 12. The greatest common factor of the two numbers is 2. What are the two numbers?
Answer:
10 and 6
Step-by-step explanation:
2 can go into both 6 and 10 and 6 and 10 are multiples of 60
FIND THE NUMBER OF SUBSETS FOR SET
A) CONTAINING 3 ELEMENTS
B) WHOSE CARDINAL NUMBER IS 5
Answer:
a) 8 subsets
b) 32 subsets
Step-by-step explanation:
The total number of subset of a set is known as the power of the set
Power of a set is expressed as;
P = 2^n
n is the number of element in the set
a) For a set containing 3 elements
n = 3
Power of the set = 2³
Power of the set is 8
This means that the set contains 8 different subsets
b) Cardinality of a set is the total number of element in the set
If the cardinal number of a set is 5, this means that the set contains 5elements
Hence the power of the set will be;
P = 2^5
P = 32
Hence the total number of subset for set whose cardinal number is 5 is 32
What is the value of 5a + 7b
if a = 4 and b = 3??
a : 41
b : 12
c : 43
d : 35
Answer:
41
Step-by-step explanation:
the answer is a:41
this is because 5 times 4 is 20 and 7 times 3 is 21
so 20+21 is 41