Answer:
13680
Step-by-step explanation:
Since we have number from 0 to 39 inclusive, there are 40 number all together.
Now there are 20 odd numbers and 20 even numbers since half of the the numbers are odd and half even.
Now, since we require 3 numbers for our locker combination which are either all even or all odd, the number of ways we can arrange 3 numbers from 20 when the order matters is ²⁰P₃ = 6480 ways for either odd or even numbers. So, for both odd and even numbers, we have the sum of even and odd number of ways ²⁰P₃ + ²⁰P₃ = 2 × ²⁰P₃ = 2 × 6480 = 13680. So, we have 13680 combinations of locks.
Find the surface area and volume of each cylinder:
a) Radius = 5 cm, height = 7.5 cm.
b) Diameter = 7 inches, height = 5 inches, state your answer in terms of .
Cylinder A -
Surface Area:
A = 2πrh + 2πr^2
A = 2 · π · 5 · 7.5 + 2 · π · 25 ≈ 392.69908
A = 392.7 cm^2
Volume:
V = πr^2h
V = π · 25 · 7.5 ≈ 589.04862
V = 589 cm^3
Cylinder B -
Surface Area:
A = 2πrh + 2πr^2
A = 2 · π · 3.5 · 5 + 2 · π · 12.25 ≈ 186.92476
A = 186.9 cm^2
Volume:
V = πr^2h
V = π · 12.25 · 5 ≈ 192.42255
V = 192.4 cm^3
Answer:
a) surface area: 125pi volume: 187.5pi
b) (i dont know what you mean by "in terms of ." so ill give both)
surface area: 210pi or 659.734 volume: 61.25pi or 192.422
Step-by-step explanation:
a) surface area is this
2pirh+2pir^2
plug it in..
2pi(5)(7.5)+2pi(5)^2
simplify...
75pi+50pi
125pi
volume is this
pir^2h
plug it in...
pi(5)^2(7.5)
simplify...
187.5pi
b is basically same steps.
(i had to replace all the pi symbols with "pi" because it was inappropriate???)
X/4- 3 = 9
the / means divided
Answer:
48 x means 48
Step-by-step explanation:
48/4= 12
12-3=9
/ means divided
Rewrite this equation in Slope Intercept form and
solve the equation at x = -1. Show your work.
2x + y = 6
Answer:
y = -2x+6
y=8 when x = -1
Step-by-step explanation:
2x + y = 6
Slope intercept form is y = mx+b where m is the slope and y is the intercept
Solve for y
Subtract 2x from each side
y = -2x+6
The slope is -2 and the y intercept is -6
Let x = -1
y = -2(-1) +6
y = 2+6
y=8
(-1,8)
Answer:
y = -2x + 6
y = 8
Step-by-step explanation:
Rewrite this equation in Slope Intercept form
2x + y = 6
Subtract 2x from both sides
y = -2x + 6
------------------------------
solve the equation at x = -1
y = -2(-1) + 6
y = 2 + 6
y = 8
PLEASE HELP ME WITH THIS ITS DUE TONIGHT
BE HONEST WITH YOU ANSWER AND EXPLAIN HOW YOU GOT IT PLEASE
THANK YOU
Answers:
Angle C = 95 degreesAngle D = 72 degreesAngle F = 108 degreesArc CFE = 216 degrees================================================
Explanations:
For any inscribed quadrilateral like this, the opposite angles are always supplementary. So that means C+E = 180. Plugging in E = 85 leads to C = 95.Angle D is an inscribed angle that subtends arc CFE. By the inscribed angle theorem, the inscribed angle is half that of the arc it cuts off, so angle D is half of 144 degrees at 144/2 = 72 degrees.Use the idea mentioned in problem 1. So we'll have F+D = 180. Plug in D = 72 to find that F = 108.Arcs CDE and CFE form a full circle. So the arc measures must add to 360 degrees. We simply subtract 144 from 360 to get the answer 216. As an alternative, you can use the idea mentioned in problem 2, but work in reverse.The solution is n=-2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?
Answer:
- 0.8 = - 0.8
n = - 2 is a solution.
Step-by-step explanation:
1.4n + 2 = 2n + 3.2
1.4(- 2) + 2 = 2(- 2) + 3.2
- 2.8 + 2 = - 4 + 3.2
- 0.8 = - 0.8
How to solve
1.4n + 2 = 2n + 3.2
1.4n + 2 - 2 = 2n + 3.2 - 2
1.4n = 2n + 1.2
1.4n - 2n = 2n - 2n + 1.2
- 0.6n = 1.2
- 0.6n ÷ - 0.6 = 1.2 ÷ - 0.6
n = - 2
5) If (x - 5) is a factor of 2r3 - 7px + (p - 12),
find the value of p.
{ANS: p = 7)
Answer:
the value of p is 7
Step-by-step explanation:
Given function;
f(x) = 2x³ - 7px + (p - 12)
factor of the given function = x - 5
Apply remainder theorem to solve for p
f(x - 5) = 0
x - 5 = 0
x = 5
f(5) = 2(5)³ - 7p(5) + (p - 12) = 0
2(125) - 35p + p - 12 = 0
250 - 34p - 12 = 0
238 - 34p = 0
34p = 238
p = 238/34
p = 7
Therefore, the value of p is 7
sofia uses 8 gallons of gas to drive 204 miles. at the same rate, How many miles can sofia drive using 18 gallons of gas?
Answer:
Sophia can drive 3672 miles using 18 galloons of gas.
Step-by-step explanation:
204 x 18 = 3672.
Calculate miles per gallon by dividing the miles she drove you the gallons used:
204/8 = 25.5 miles per gallon.
Now multiply miles per gallon by gallons:
25.5 x 18 = 459 miles
Answer: 459 miles
An airplane covers 1824 km in an hour How much distance will it cover in 3.7 hours
Answer:
6748.8 km
Step-by-step explanation:
in 1 hour = 1824
in 3.7 hour = 1824×3.7
=6748.8 km
Find the surface area of the triangular prism.
NO FAKE ANSWERS OR LINKS
Answer
177.62
Step-by-step explanation:
Question 8 of 10
Which property of polynomial multiplication says that the product of two
polynomials is always a polynomial?
A. Distributive
B. Addition property of equality
C. Commutative
D. Closure
Answer:
D. Closure
Step-by-step explanation:
D. Closure
Perform the following operation: -3+6
Answer:
3
Step-by-step explanation:
it is a correct answer .................
Answer:
The answer would be 3
So there’s two cell phones the length on first is 8.4 inches the width on the first cell phone is 5.6 inches. On the second cell phone the length is 9.21 inches. The length and width of the two cell phones are proportional. What is the width, inches of the larger of the cell phone?
Answer:
The width, in inches of the larger cell phone is 6.14 inches.
Step-by-step explanation:
To solve we must set up a ratio.
[tex]\frac{8.4}{5.6} = \frac{9.21}{y}[/tex]
After setting this ratio up, we can cross multiply to solve for y.
8.4(y) = 5.6(9.21)
8.4(y) = 51. 576
To get y alone we divide by 8.4 on both sides.
y = 6.14
The width, in inches of the larger cell phone is 6.14 inches.
5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.
Answer:
m = 5, n = 2
Step-by-step explanation:
[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]
whats is the answer to x+2=-2x+4
What is the perimeter of this rectangle?
w2 + 13
W + 5
A w3 + 18
B 2W + 2w + 36
o w3 + 5w? + 13w + 65
D w
+ W + 18
DA
(ОВ
Answer:
B. 2w^2 + 2w + 36
Step-by-step explanation:
The equation to find the perimeter of anything is: Length + Length + Width + Width = Perimeter.
Applying this logic to this problem, the equation would be as follows:
[tex]w^{2} + 13 + w^{2} + 13 + w+5+w+5[/tex]
Then, we simplify. The like terms go together, and you have your solution.
[tex]2w^{2} + 2w+36[/tex]
Please solve and show me how you solved it
Answer:
Step-by-step explanation:
(x^a)^b=(x)^{a×b}
x¹² would be the answer. The 3 and 4 multiply together. x( ⁴ * ³) = x¹²
Find the exact value of sinA in simplest radical form.
Answer:
√7 / 4.
Step-by-step explanation:
Sin A = opposite side/ hypotenuse
= √63 / 12
= √9√7 / 12
= 3√7 / 12
= √7 / 4.
The perimeter of a rectangle is 84 cm. If the length is 29 cm write an equation you can use to answer this question
Answer:
The perimeter of a rectangle has the general formula P=2L+2W. Since you know P and L, you can plug those values into the formula and solve for W.
Hope this answer is right!!
Answer:
Width: 13
Area: 42
Step-by-step explanation:
A rectangle has equal opposite sides, so if you know one side, you know that the opposite side will be the same. Then you can subtract it from the perimeter, and divide the remaining number in half because it represents the other opposite sides. If you were trying to find the area, do that to find the length and width. 29x13=42, so the area is 42. If you were trying to find the width, that would be 13 because
29+29=58
84-58=26
And 26/2=13
Please help me find the answer
in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.
Answer:
white- 47% Blue-23% Red- 30%
Step-by-step explanation:
White cars- (47/100)*100= 47%
Blue cars- (23/100)*100=23%
Red cars- (30/100)*100=30%
Answer:
White 47 percent, 23 percent blue 30 percent red.
47+23+30=100 percent
Step-by-step explanation:
So to get the percentages you first have to get the numbers that you need in this case it is 47,30,and 23.
After that we have to first multiply the numbers(47,30,23)by 100 because
100 hundred is our total percent so 47x100=4700 30x100=3000
and 23x100=2300.And 47x100=4700 30x100=3000
and lastly 23x100=2300.So after we multiply the numbers by 100 hundred we have to divide so we see there's 100 cars so we divide by that because that is the total amount of cars and if we divide all our numbers by 100 we will get the answer,
4700/100=47 percent 3000/100=30 percent 2300/100=23 percent
and to check our answer is right we have to add all our number percentages up to see if all the numbers add up to 100.(percentage)so 47+30+23=100
So that means our answer is right.
Please help!!
The picture of the question is attached...
Answer:
Proved
Step-by-step explanation:
picture above explains it but it requires me 20 words in order to answer this question so don't mind this. (If anyone is willing to help me answer my chemistry question, thanks)
Tell whether the triangle with the given side lengths is a right triangle. Y/N question
Answer:
No.
Step-by-step explanation:
33^2 + 56^2 is not equal to 66^2. I squared these numbers because that is how I can find out and see if the Pythagorean Theorem (a^2 + b^2 = c^2) is true for this.
Answer:
no , it is not a right triangle.
Step-by-step explanation:
according to the pythagoras theorem to be the right angled triangle the sum of square of two smaller sides of triangle must be equal to the square of it's hypotenuse.
Here , 66 is largest side so it is hypotenuse and other two sides are the legs of the triangle.
pythagoras theorem:
a^2 + b^2 = c^2
33^2 + 56^2 = 66^2
1089 + 3136 = 4356
4225 = 4356
since both sides are not equal it can be concluded that the given side lengths does not form right triangle.
what is 5/20 as a percent if you could give an explanation that would be good but if not thats okay
Answer:25%
Step-by-step explanation:A pectange has to be out of 100 so that means 5/20 is 25/100 because 20 times 5 equals 100 and 5 times 5 equals 25 making it 25%.
*URGENT*
PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
PLEASE HELP QUICKLY!!! There is a tree standing in the desert; the sun is rising to the east.
PLS HURRY!! Susan needs 228 ounces of fruit juice for a party. She is choosing between two brands of juice.
Two Brands of Juice
Brand A
Brand B
12 ounces
8 ounces
$2.55
$1.45
She finds the unit rate of each brand and rounds to the nearest cent. Which statement about the unit rates is true?
Brand A costs approximately $0.18 per ounce, and Brand B costs approximately $0.21 per ounce.
Brand A costs approximately $0.12 per ounce, and Brand B costs approximately $0.15 per ounce.
Brand A costs approximately $0.15 per ounce, and Brand B costs approximately $0.12 per ounce.
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce.
Answer:
Brand A costs approximately $0.21 per ounce, and Brand B costs approximately $0.18 per ounce
Step-by-step explanation:
divide the price by the the number of ounces.
2.55/12 = .21
1.45/8 = .18
which graphs represent functions
A. Graph D only
B. Graph B and Graph D
C. Graph C and Graph D
D. Graph A only
Answer: C i believe
Step-by-step explanation:
Answer:
the option answer is B
Step-by-step explanation:
the is the answer because it represents functions
Please help ASAP!!!!!
Answer:
SHORT ANSWER IS B.
Angles in a triangle add up to equal 180 degrees
Hence, 40x - 27 + 25 - 2x + 26 + x = 180
( Note that we just created an equation that we can use to solve for x)
We now solve for x using the equation we created
40x - 27 + 25 - 2x + 26 + x = 180
Combine like terms
39x + 24 = 180
Subtract 24 from both sides
39x = 156
Divide both sides by 39
which expression are equivalent to the given expression square root of 40
Answer:
2√10
Step-by-step explanation:
√40 = √(2 × 2 × 2 × 5) = 2√10.
please help me help help help
xy+xb+ya+ab = 32
x(y+b) + a(y+b) = 32
(x+a) (y+b) = 32
4.(y+b) = 32
(y+b) =32/4
(y+b) = 8
OPTION C