Answer:
100
Step-by-step explanation:
because -100 0 then positive 100
12
A model maker wants to make a model of a
ship
He will use a scale of 1:50
The ship was 100ft long
1 foot = 0.3 m
How long will the ship be in cm?
9514 1404 393
Answer:
60 cm
Step-by-step explanation:
The model ship will be x feet long, where ...
x/100 = 1/50
x = 100/50 = 2
In meters, that is ...
2(0.3 m) = 0.6 m
A meter is 100 cm, so the length in centimeters is ...
(0.6)(100 cm) = 60 cm
At Davidson's Bike Rentals, it costs $41 to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar?
Answer:
0.192 hour
Step-by-step explanation:
41$ / 8 = 0.192 hours = 11.703 minutes
Please hurry; Rajiv bought a rare stamp for $125. A function that models the value of Rajiv’s after t years is v(t) = 125 (1.05)t . What is the value of Rajiv’s stamp after 20 years?
a $131.25
b $331.66
c $2,625.00
d $3316.62
Answer:
C.
Step-by-step explanation:
Pls help I’ll mark brainliest
Answer:
2=72 4=148 6=222 10=370 15=555 16=592
sorry about the second part i didnt see it
Answer:
148, 3 , 740, 1110, 8.
Step-by-step explanation:
Miles: 148 + 740 + 1,110 = 1,998
Gallons: 2 + 4 + 3 + 10 + 15 + 8 = 42
How do I evaluate this using trigonometric substitution?
∫dx/(81x^2+4)^2
Answer:
[tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]
General Formulas and Concepts:
Alg I
Terms/CoefficientsFactorExponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Pre-Calc
[Right Triangle Only] Pythagorean Theorem: a² + b² = c²
a is a legb is a legc is hypotenuseTrigonometric Ratio: [tex]\displaystyle sec(\theta) = \frac{1}{cos(\theta)}[/tex]
Trigonometric Identity: [tex]\displaystyle tan^2\theta + 1 = sec^2\theta[/tex]
TI: [tex]\displaystyle sin(2x) = 2sin(x)cos(x)[/tex]
TI: [tex]\displaystyle cos^2(\theta) = \frac{cos(2x) + 1}{2}[/tex]
Calc
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
IP [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
U-Trig Substitution: x² + a² → x = atanθ
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{dx}{(81x^2 + 4)^2}}[/tex]
Step 2: Identify Sub Variables Pt.1
Rewrite integral [factor expression]:
[tex]\displaystyle \int {\frac{dx}{[(9x)^2 + 4]^2}}[/tex]
Identify u-trig sub:
[tex]\displaystyle x = atan\theta\\9x = 2tan\theta \rightarrow x = \frac{2}{9}tan\theta\\dx = \frac{2}{9}sec^2\theta d\theta[/tex]
Later, back-sub θ (integrate w/ respect to x):
[tex]\displaystyle tan\theta = \frac{9x}{2} \rightarrow \theta = arctan(\frac{9x}{2})[/tex]
Step 3: Integrate Pt.1
[Int] Sub u-trig variables: [tex]\displaystyle \int {\frac{\frac{2}{9}sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[(2tan\theta)^2 + 4]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4tan^2\theta + 4]^2}} \ d\theta[/tex][Int] Factor: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4(tan^2\theta + 1)]^2}} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{[4sec^2\theta]^2}} \ d\theta[/tex][Int] Evaluate exponents: [tex]\displaystyle \frac{2}{9} \int {\frac{sec^2\theta}{16sec^4\theta} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{72} \int {\frac{sec^2\theta}{sec^4\theta} \ d\theta[/tex][Int] Divide [ER - D]: [tex]\displaystyle \frac{1}{72} \int {\frac{1}{sec^2\theta} \ d\theta[/tex][Int] Rewrite [TR]: [tex]\displaystyle \frac{1}{72} \int {cos^2\theta} \ d\theta[/tex][Int] Rewrite [TI]: [tex]\displaystyle \frac{1}{72} \int {\frac{cos(2\theta) + 1}{2}} \ d\theta[/tex][Int] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} \int {cos(2\theta) + 1} \ d\theta[/tex][Int] Rewrite [Int Prop - A/S]: [tex]\displaystyle \frac{1}{144} [\int {cos(2\theta) \ d\theta + \int {1} \ d\theta][/tex]Step 4: Identify Sub Variables Pt.2
Determine u-sub for trig int:
u = 2θ
du = 2dθ
Step 5: Integrate Pt.2
[Ints] Rewrite [Int Prop - MC]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {2cos(2\theta) \ d\theta + \int {1 \theta ^0} \ d\theta][/tex][Int] U-Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} \int {cos(u) \ du + \int {1 \theta ^0} \ d\theta][/tex][Ints] Integrate [Trig/Int Rule - RPR]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(u) + \theta + C][/tex][Expression] Back Sub: [tex]\displaystyle \frac{1}{144} [\frac{1}{2} sin(2 \theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Rewrite [TI]: [tex]\displaystyle \frac{1}{144} [\frac{1}{2}(2sin(\theta)cos(\theta)) + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [sin(\theta)cos(\theta) + arctan(\frac{9x}{2}) + C][/tex][Exp] Back Sub: [tex]\displaystyle \frac{1}{144} [sin(arctan(\frac{9x}{2}))cos(arctan(\frac{9x}{2})) + arctan(\frac{9x}{2}) + C][/tex]Step 6: Triangle
Find trig values:
[tex]\displaystyle tan\theta = \frac{9x}{2}[/tex]
[tex]\displaystyle \theta = arctan(\frac{9x}{2})[/tex]
tanθ = opposite / adjacent; solve hypotenuse of right triangle, determine trig ratios:
sinθ = opposite / hypotenuse
cosθ = adjacent / hypotenuse
Leg a = 2
Leg b = 9x
Leg c = ?
Sub variables [PT]: [tex]\displaystyle 2^2 + (9x)^2 = c^2[/tex]Evaluate exponents: [tex]\displaystyle 4 + 81x^2 = c^2[/tex][Equality Property] Square root both sides: [tex]\displaystyle \sqrt{4 + 81x^2} = c[/tex]Rewrite: [tex]c = \sqrt{81x^2 + 4}[/tex]Substitute into trig ratios:
[tex]\displaystyle sin\theta = \frac{9x}{\sqrt{81x^2 + 4}}[/tex]
[tex]\displaystyle cos\theta = \frac{2}{\sqrt{81x^2 + 4}}[/tex]
Step 7: Integrate Pt.3
[Exp] Sub variables [TR]: [tex]\displaystyle \frac{1}{144} [\frac{9x}{\sqrt{81x^2 + 4}} \cdot \frac{2}{\sqrt{81x^2 + 4}} + arctan(\frac{9x}{2}) + C][/tex][Exp] Multiply: [tex]\displaystyle \frac{1}{144} [\frac{18x}{81x^2 + 4} + arctan(\frac{9x}{2}) + C][/tex][Exp] Distribute: [tex]\displaystyle \frac{1}{144}arctan(\frac{9x}{2}) + \frac{x}{8(81x^2 + 4)} + C[/tex]How many grams of aluminum hydroxide are produced when 8 moles of aluminum sulfite react in excess sodium hydroxide ?
Answer:
Number of moles Aluminium sulfide
1 mole of sulfide contains 150 g
Therefore; 16.2/150
= 0.108 moles
The mole ratio of Al2S3 : Al(OH)3 is 1:2
Therefore; moles of Aluminium hydroxide will be;
= (0.108 × 2)
= 0.216 moles
But, 1 mole of Al(OH)3 contains 77 g
Therefore, the mass of aluminium hydroxide is
0.216 moles × 77
= 16.632 g
Step-by-step explanation:
please answer
traveling with the current a certain boat went 24 km/h. Against the same current it only went 2 km/h. Find the current and the speed of the boat if there were no current.
Answer:
Current= 13
Speed= 11
Step-by-step explanation:
Let x represent the speed of the boat
Ley y represent the rate of current
x + y= 24......equation 1
x - y= 2...........equation 2
Using elimination method
x + y= 24
+
x - y= 2
2x = 26
x = 26/2
x = 13
Sub 13 for x in equation 1
x + y= 24
13 + y = 24
y = 24-13
y = 11
Hence the current and speed of the boat when there were no current are 11 and 13 respectively
For the geometric sequence, find the sum of the specified number of terms.
The first 8 terms of 4, -12, 36, ...
S8=
Given:
The geometric sequence is
[tex]4, -12, 36,...[/tex]
To find:
The sum of first 8 terms of the given geometric sequence.
Solution:
We have,
[tex]4, -12, 36,...[/tex]
Here, the first term is 4 and the common ratio is
[tex]r=\dfrac{-12}{4}[/tex]
[tex]r=-3[/tex]
The sum of first n terms of a geometric sequence is
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting n=8, a=4 and r=-3, we get
[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]
[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]
[tex]S_8=-6560[/tex]
Therefore, the sum of first 8 terms is -6560.
fill 1 ⅕ bottles with 3 liters of water. How many liters of water fill 1 bottle?
Answer: It would be 2 1/2 liters
Step-by-step explanation:
There can be 2 and a half litres of water will be filled in 1 bottle.
What is division?Division is breaking a number up into an equal number of parts.
Given that, 3 litres of water can fill 1 ⅕ bottles,
Since, there are 3 litres in 6/5 bottles
so, 1 litre = 6/5×3 = 2 ¹/₂
Hence, There can be 2 and a half litres of water will be filled in 1 bottle.
For more references on division, click;
https://brainly.com/question/21416852
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Multiplying by which number is equivalent to a decrease of 8.2%?
Math please help ASAP
Answer:
11
Step-by-step explanation:
i don't know
Paisley works on her drawings for 2 hours. She spends 1/6 hour on each drawing. How many drawings does she work on in 2 hours? HELP FAST!!!!
Answer:
1/12
Step-by-step explanation:
1/6 divided by 2 = 1/12
What is - or how do you find answer to:
12 1/2 - (-4 1/2) =
Answer:
8
Step-by-step explanation:
12 times 1/2=6
(-4(1/2))= -2
6-(-2)
6+2
=8
PLS HELP!!!! :))) BDHDHSJWJDJD
Answer:
Your answer is "H"
Step-by-step explanation:
5 × 3/2, but the answer as a fraction
Answer:
15/2
Step-by-step explanation:
5/1 * 3/2 = 15/2
Answer please.....
Thanks!!!!
A 12-pack of soda costs $10.08 and a 6-pack of the same soda cost $5.34. Which is
the better buy?
Answer:
the twelve pack
Step-by-step explanation:
12 pack = $10.08 if u get the 6 pack for $5.34 and want to buy two pack it equals $10.68 if you want to save change buy the 12 pack
Please answer ASAP!
Which proportional relationship has the greatest rate of change?
Answer:
Option (1) ; y = 7x
Step-by-step explanation:
(1) reads y = 7x, a line with slope 7, therefore the rate of change in this is 7
(2) says that y increases 12 units every time that x increases 4 Then the rate of change is: (increase in y / increase in x = 12/4 =3
(3) shows a table from which we can see that an increase of y in 8 corresponds to an increase of x in 2: rate of change = (8 - 0) , (2 - 0) = 4
(4) shos a line with slope (rate of change) given by: (12 - 0) / (2 - 0) = 12/2 = 6
Therefore, the greatest rate of change is shown by the first expression
y = 7 x
the area of a certain desert is nine times the area of another desert. if the sum of their areas is 30,000,000 sq miles. find the area of each.
X/4-5>-4 what is this please help
Answer:
4
Step-by-step explanation:
44 yeah yeah what about the other
To make concrete Tyler mixes 55 kilograms of gravel wit 11 kilograms of cement how many kilograms of gravel does Tyler need for each kilogram of cement
Answer:
5 kilos
Step-by-step explanation:
55:11
5:1 ratio
A white-tailed deer is running from a black bear at 20 miles per hour. It is 1/3 miles in front of the bear. The bear is running at 30 miles per hour. How many minutes will it take the bear to catch the deer? Assume both continue running at a constant pace.
Answer:
Step-by-step explanation:
d=20t+1/3, b=30t
20t+1/3=30t
10t=1/3
t=1/30 hr
t=(1/30)60=2 min
78.84 is what percent of 292?
Pleasee
Answer:
230.2128. Im pretty sure
Step-by-step explanation:
Answer:
27%
Step-by-step explanation:
The perimeter of a rectangular e room is 24 feet. Twice the length
decreased by three times the width is 4 feet. What are the dimensions e of
thg room?
Please help me
Answer:
i am gessing to divide
Step-by-step explanation:
What quadrilateral's diagonals are perpendicular and they bisect each other?
Answer:
Rhombus
Step-by-step explanation:
The diagonals of Rhombus bisect each other and form 4 right triangles. Since they are right triangles, they measure 90 degrees so the diagonals are perpendicular.
1. -3(-2-4-0)+3-(3-5-7)=
Answer: The answer is 18
Answer:
[tex] - 3 + 5 + 7 - 18 + 36 \\ - 3 + 12 - 18 + 36 \\ - 21 + 36 \\ = 15 \: \: \: ans.[/tex]
I Need Help Giving Out 10 points! Plz Help
Answer:
b and d
Step-by-step explanation:
Tyler has $125.00 to spend on books and CDs. He buys one book for $30.00. He wants to spend the rest on CDs that are on sale for $9.00 each. Which of these statements is true?
Group of answer choices
He can't buy any CDs.
He can buy 11 CDs.
He can buy 10 CDs.
He can buy more than 11 CDs.
Answer:
He can buy 10 cds
Step-by-step explanation:
125-30=95
95 divided by 9 = 10.5555555556
This figure consists of a rectangle and semicircle. What is the perimeter of this figure? Use 3.14 for pi.
Answer: 36.56
Step-by-step explanation:
A plane travels 1820 meters at a speed of 260 m/sec. How long did it
take to reach its destination? PLEASE HELP!
Answer:
7 seconds
Step-by-step explanation:
1820/260=7.
Answer:
7m/sec
Step-by-step explanation: