Answer:
301.440 mi²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
Where,
Radius, r = 6 mi
Height, h = 2 mi
Surface area of a cylinder = 2πrh + 2πr²
= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)
= 75.36 + (6.28 * 36)
= 75.36 + 226.08
= 301.44 mi²
To the nearest thousandth
Surface area of a cylinder = 301.440 mi²
600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remainder of the tickets do not win anything. What is the expected value of this raffle?
Answer:
its -$3.17
Step-by-step explanation:
500-5=495
200-5=195
the remainder of the tickets is -$5
the expected value is $495 x 1/600 + $ 19583/600 + (-$5) 596/600= -$3.17
Pls help me also show your work bc I need to understand
9514 1404 393
Answer:
x = ±√13x = ±3√6x = ±√66x = 0 or 8Step-by-step explanation:
As in any "solve for" situation, you "undo" what is done to the variable.
Here, (for 3 of the 4 problems) the variable is ...
squaredmultiplied by a constantadded to a constantWe undo these operations in reverse order. First, we add the opposite of the added constant. Then we divide by the coefficient of x². Finally, we take the square root to "undo" the squaring operation.
1. 4x² -30 = 22 . . . . . . given
4x² = 52 . . . . . . . . . add 30 to both sides
x² = 13 . . . . . . . . . . . divide both sides by 4
x = ±√13 . . . . . . . . . take the square root. Both signs are solutions.
__
2. 3x² +4 = 166 . . . . . given
3x² = 162 . . . . . . . . add -4 to both sides
x² = 54 . . . . . . . . . . divide both sides by 3
x = ±√54 . . . . . . . . take the square root. 54 = 3²·6 has a square factor
x = ±3√6 . . . . . . . simplified result
__
3. (1/3)x² +14 = 36 . . . . given
(1/3)x² = 22 . . . . . . . . add -14 to both sides
x² = 66 . . . . . . . . . . . multiply both sides by 3
x = ±√66 . . . . . . . . take the square root
__
4. The same "undo" idea applies. Here, we can start with the square root.
(x -4)² = 16 . . . . . given
x -4 = ±4 . . . . . . . square root
x = 4 ± 4 . . . . . . add 4 to both sides
This means x = 4-4 = 0, or x = 4+4 = 8.
The solutions are x = 0, x = 8.
The Barnes family has a coupon for 10% off their dinner. If their bill comes to $82.50 and they wish to tip 15%, what will they pay in total?
Answer:
Total cost= $86.25
Step-by-step explanation:
Giving the following information:
Discount= 10%
Nill= $82.5
Tip= 15%
First, we need to calculate the discounted price:
Discount price= 82.5 / 1.1= $75
Now, the tip:
Tip= 75*0.15= $11.25
Finally, the total cost:
Total cost= 75 + 11.25
Total cost= $86.25
Which equation is correct?
a) cos G = 15/17
b) cos G = 8/15
c) sin G = 15/17
d) sin G = 8/15
No one wants to help me ! :(((( need help on algebra: modeling dot plots Box plots and histograms.!
if anyone could help answer this question that would be great.
A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?
Answer:
look at the picture I have sent
Answer:
1.3
Step-by-step explanation:
First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.
Plz help I will give BRAINLY
Answer:
I believe it is C
Step-by-step explanation:
Sorry if I got it wrong but hopefully you got it right
Samantha has chocolate bars and lollipops in the the ratio 4:5. If she has 12 chocolate bars,how many lollipops does she have?
Write the recursive formula for the sequence
37, 67, 97, 127, 157
Answer:
The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].
Step-by-step explanation:
A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)2
A. y=-3x+1
B. y--3x+3
C. y = 2 x -
D. y-22 8x-3
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = -2/3x + b
-1 = -2/3(-3) + b
-1 = 2 + b
-3 = b
y = -2/3x - 3
Which would it be please?Help if you can.
Answer:
B
Step-by-step explanation:
Area = length times width, in this case, both length and width is x.
While 5 and 2 are the lengths and widths for the unshaded part.
x^2 = whole square
x^2 - (5)(2) = area of shaded region
if r 1 and 0 = 7pi/6 what is the approximate arc length
The square root 24 is between which two numbers on the number line
A)
1 and 2
B)
2 and 3
C)
3 and 4
D)
4 and 5
Answer:
Step-by-step explanation:
4²=16
5²=25
so √24 is between 4 and 5.
Mike has 2 bank accounts. In his checking he has $136.89 and in his savings account he has $653.23.
Answer:
Whats the question and if its adding the answer is 790.12
Step-by-step explanation:
Also, if you could answer my question that'dd be great!
Type the missing number that makes these fractions equal: 4/?=8/14
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
the difference between two numbers is 14. if 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10 of their sum. find both numbers
Step by step please
Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ3
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
Find the measure of angle 1
HELP
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
Please can someone help been struggle with this problem
Step-by-step explanation:
domain = { x/ x € Real}
range = { y/ y > -3 , y € Real }
Which triangle makes this statement true?
Answer:
A.
Step-by-step explanation:
i pretty sure
How would you solve problems like this
PLEASE HELP WILL AWARD BRAINLIEST:)
Answer:
x = 4 units
Step-by-step explanation:
By geometric mean theorem:
Length of perpendicular
[tex] =\sqrt{2\times 6}[/tex]
[tex] =\sqrt{12}[/tex]
Next, by Pythagoras theorem:
[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]
[tex] \therefore x^2 = 4 + 12 [/tex]
[tex] \therefore x^2 = 16 [/tex]
[tex] \therefore x =\sqrt{ 16 }[/tex]
[tex] \therefore x =4\: units[/tex]
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
HELP ME IM STUCK PLEASE QUICK
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
Someone help me please with this ? Like right now please
Answer: 6472
Step-by-step explanation:
You have to multiply and add
PLEASE HELP ME URGENT what is the correct answer to my question.
I'm fully sure but maybe you add 12+40
list some things I could spend a million dollars on.. doing a math worksheet and I can’t think of things.. help!
Answer:
A car, college, and house, bills. and Airplane? would those work?
Step-by-step explanation:
4/5 divided by 3/4
I need help please!! :)
Answer:
1 1/5 in fraction form :))
What is the value of 1,608 divided by 10 cubed
Answer:
16 2/25
Step-by-step explanation:
1608 / 10^2
1608/100
16 8/100
16 4/50
16 2/25
Answer:
1.608
Step-by-step explanation:
1608 ÷ 1000 = 1.608