Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
The capacity of a fuel tank is 45 litres. Find its
volume.
Answer:
45000 cubic cm
Step-by-step explanation:
Capacity of the fuel tank
= 45 litres
= 45/1000 = 0.045 cubic meters
Or 45* 1000 = 45000 cubic cm
If the first three Fibonacci numbers are given as [tex]x_{1} =1[/tex], [tex]x_{2}=1[/tex] and [tex]x_{2} = 2[/tex], what is the value of n for which [tex]x_{n} + x_{n+1}=55[/tex]? (see attachment)
Answer:
n = 8
Step-by-step explanation:
Continuing the sequence using
[tex]x_{n}[/tex] + [tex]x_{n+1}[/tex]
x₄ = x₂ + x₃ =1 + 2 = 3
x₅ = x₃ + x₄ = 2 + 3 = 5
x₆ = x₄ + x₅ = 3 + 5 = 8
x₇ = x₅ + x₆ = 5 + 8 = 13
x₈ = x₆ + x₇ = 8 + 13 = 21
x₉ = x₇ + x₈ = 13 + 21 = 34
x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8
Answer:
The Fibonacci numbers are
1
1
2
3
5
8
13
21
34
55
The eighth Fibonacci Number is 21, the ninth is 34 and the tenth is 55.
So Fibonacci # 8 + Fibonacci Number #9 = Fibonacci# 10
21 + 34 = 55
If you want to read a little bit more about Fibonacci numbers, try this page: http://www.1728.org/fibonacci.htm
that's my website :-)
Step-by-step explanation:
It's urgent i need help someone help me!
Answer:
x=50, y=20
Step-by-step explanation:
50-20=30, 50+20=70
22344=14^3 in logarithmic form
Answer:
log 14 22,344 = 3
where 14 is the base logarithm
Step-by-step explanation:
Here, we have the base of the log as 14 and the exponent or power as 3
So we have the general form as;
Given y = a^x
Log form is log a y = x
Applying this here, we have
log 14 22,344 = 3
Find the length of "b" to the nearest tenth.
Answer:
11.2
Step-by-step explanation:
(AB) ^2 - (BC) ^2 = b^2 (Pythogoras Theorem)
(15)^2 - (10)^2 = (b) ^2
b^2=225-100
b^2=125
b=root (125)
b=11.18
b=11.2
Solve:
2(2x + 3) = -6(x + 9)
Answer:
The answer is x = -6
Step-by-step explanation:
Answer:
= − 6
Step-by-step explanation:
Which of the following systems of linear inequalities is represented by the solution graphed below?
if p(x) = x^3 + 1 is divided by (x + 2) , then the remainder is
PLS HELP!
Answer:
[tex]{ \bf{factor : x + 2}} \\ { \tt{divisor = - 2 }} \\ { \bf{f(x) = {x}^{3} + 1 }} \\ { \bf{f( - 2) = {( - 2)}^{3} + 1}} \\ { \bf{remainder = - 7}}[/tex]
Ranu has 200 stamps and Cathy has 132 stamps. How many stamps must Ranu give Cathy so that they will have the same number of stamps?
Answer:
34
Step-by-step explanation:
let x = number of stamps ranu gives out and the number of stamps cathy receives
200 - x = 132 + x
combine like term s
200 - 132 = 2x
68 = 2x
x = 34
b(1)=−7
b(n)=b(n−1)+12
Find the 4th term in the sequence.
Answer:
4th term = 29
to generate the terms, substitute n = 2, 3, 4 into the rule
noting that b(1) = - 7
b(2) = b(2 - 1) + 12 = b(1) + 12 = -7 + 12 = 5
b(3) = b(3 - 1) + 12 = b(2) + 12 = 5 + 12 = 17
b(4) = b(4 - 1) + 12 = b(3) + 12 = 17 + 12 = 29
ute of Change
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth,
if necessary
Answer:
1
2
0.5
Step-by-step explanation:
In a village of 1210 people, the ratio of men to women is 6: 5. Find the number of men and women.
Answer:
Men = 660
Women = 550
Step-by-step explanation:
Say the total number of people = x = 1210
Then men = 6/11 x = 660
And women = 5/11x = 550
What is the slope of (-2,2) (-4,-4)
Answer:
3
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(-4-2)/(-4--2)
-6/-2
3
Answer:
to find slope we use the following methods
Step-by-step explanation:
given
X1 -2
X2= -4
Y1= 2
Y2= -4
slope=y2-Y1 ÷X2-X1
= -4-2÷ -4-(-2)
=-6 ÷-4+2
= -6÷-2
= 3
slop of (-2,2) (-4,-4) = 3
I have a bag of coins.In it, one third is gold, one fifth of them are silver, two seventh are bronze the rest are copper. My bag can only fit 200 coins how many coins do i have in my bag?
Answer:
Copper = x= 36.19
Step-by-step explanation:
The number of copper is unknown
Gold = 1/3
Silver = 1/5
Bronze =2/7
Copper = x
Total coins = 200
Gold = 1/3 of 200
= 1/3 × 200
= 200/3
= 66.67
Silver = 1/5 × 200
= 200/5
= 40
Bronze = 2/7 × 200
= 400/7
= 57.14
Total = gold + silver + bronze + copper
200 = 66.67 + 40 + 57.14 + x
200 = 163.81 + x
200 - 163.81 = x
x = 36.19
Copper = x= 36.19
Please help
Expand 3(2x+1)
Answer:
6x + 3
Step-by-step explanation:
3(2x + 1)
=3*2x + 3*1
=6x + 3
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in second, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of a second
10.17 seconds
hope this helps
Which equation is equivalent to the given equation
X2-6x=8
Answer:
Step-by-step explanation:
x^2 －6x-8=0
harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house
Answer:
155,000
159,999
Step-by-step explanation:
In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
e.g. Rounding off 10,999 to the nearest thousand is 11,000
In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9
Find the distance between the points (-6, -8) and (6, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
[tex]\displaystyle d = 13[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (-6, -8)
Point (6, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(6- -6)^2+(-3- -8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{12^2+5^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{144+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{169}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 13[/tex]Where is point B? (im also not good at these at all)
Answer:
[tex]{ \tt{on \: x - axis : 3}} \\ { \tt{on \: y - axis : 0}} \\ = > \: { \tt{x, \: y}} \\ { \boxed{ \bf{substitute \: for \: x \: and \: y}}} \\ \therefore \: { \boxed{ \bf{answer : } \:{ \tt {(3, \: 0)}}}} \\ \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}[/tex]
Equation of a line is y = 2x + 5
a) what is the gradient?
b)what is y- intercepted?
c) if the gradient is -3 and y-intercept is 1,then what is the equation of the line?
Answer:
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and g is y intercept
a) The gradient is the slope and we have the value as 2
b) The y-intercept here is 5
c) for slope -3 and intercept 1, the equation becomes
y = -3x + 1
Identify the coefficients in this expression 4+3×+5×
Answer:
8Step-by-step explanation:
4 + 3x + 5x
= 4 + 8x
Hence, coefficient of x is 8 (Ans)
What is the volume of the cone below?
A. 852 units
B. 3408 units
C. 10,224 units
D. 5112 units
Answer:
B. 3408pi
Step-by-step explanation:
formula volume of cone = 1/3 x pi x r x r x h
volume = 1/3 x pi x 12 x 12 x 71
= 3408pi
The volume of the cone is approximately 10,224 cubic units.
Option C is the correct answer.
What is a cone?It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.
The volume of a cone is V = (1/3)πr²h,
We have,
The formula for the volume of a cone is V = (1/3)πr²h,
where r is the radius of the base of the cone, h is the height of the cone, and π is a constant approximately equal to 3.14.
Substituting the given values, we get:
V = (1/3)π(12²)(71)
V = (1/3)π(144)(71)
V = (1/3)(3.14)(144)(71)
V = 10,223.04
Rounding this answer to the nearest whole number, we get:
V ≈ 10,224
Therefore,
The volume of the cone is approximately 10,224 cubic units.
Learn more about cones here:
https://brainly.com/question/13798146
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8. The confectionary company "Sugary Sweet" wants to test how sweet and flavorful their participants like their candy. They manipulated three levels of sugar and also two levels of flavor in the candy for their participants to score their preference. State the hypotheses for their study.
Solution :
It is given that a company named "Sugary Sweet" wishes to test about the sweet and the flavorful that their participants like the candy.
There are Two levels of the flavor and three levels of sugar.
Thus it is a Two Way ANOVA test.
A two-way ANOVA test is used to test the effect of any two independent variables on the dependent variable.
[tex]$H_{01} : \text{Mean effect of the sugar are equal}$[/tex]
[tex]$H_{02} : \text{Mean effect of the flavor are equal}$[/tex]
[tex]$H_{01} : \text{There is no interaction between the sugar and the flavor}$[/tex]
y is proportional
to x
y = 72 when x = 12
Write a direct
proportion
equation.
A. y = 12x
B. y = 6x
C. 72x = 12
D. 7 x 12 = y
Answer:
B :) (im sure btw)
Step-by-step explanation:
Mr cruz is computing his monthly electrical consumption.Basedon his electric bill last month he was able to consume 00150kWh. When he checked his digital electric meter at present, the reading is 00200 kWh. How may killowats hour did Mr dela cruz consume this month? If the minimum charge for the first 10 kWh is P210.00 and the succeding consumed kWh costs P10, how much is Mr. Cruz total bill?
Answer:
610$
Step-by-step explanation:
According to the Question,
Based on his electric bill last month he was able to consume 150kwh. When he checked his digital electric meter at present, the reading is 200 kwh .Thus , Mr. Cruz Consumes 50kwh in this month .
Given, the minimum charge for the first 10 kWh is $210 . & the succeeding consumed kWh costs $10 .
The Total Bill Of Mr. Cruz is ⇒ 210 + (50-10)×10 ⇔ 610$
The equation y=1470(1.05)tmodels the value of a painting in dollars (y) in terms of the number of years (t) after it was created. What is the initial value of the painting?
Answer:
0
Step-by-step explanation:
Because the initial value it the price the painting started at.
Hope this helped
Initial value of the painting as per equation y = 1470(1.05)t is equals to 0.
What is equation?
" Equation is defined as the representation of relation between two quantities using symbol of equality."
According to the question,
Given,
Equation of the given models 'y' = 1470(1.05)t
'y' represents the value of painting
't' represents the number of years
Initial year 't' = 0 years
Substitute the value of initial time 't' =0 in the given equation we get,
Initial value of the painting 'y' = 1470 (1.05) (0)
= 0 dollars
Hence, initial value of the painting as per equation y = 1470(1.05)t is equals to 0.
Learn more about equation here
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In Ethiopia there are 20 premier league soccer teams.
a) In one round how many games are there ?
b) If five of the teams represent one company, find the number of ways pairs of teams representing different companies can play a game.
Answer:
In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
20 choose 2 = 20C2 = 190
(b) If five of the teams represent one company, find the
number of ways pairs of teams representing different companies
can play the game.
So there are 4 companies, each having 5 teams.
4 companies choose 2 = 4C2 = 6 ways
Choose a team of the company that's, say, been in business the
longest.
5 teams choose 1 = 5C1 = 5 ways
Choose a team of the other company,
5 teams choose 1 = 5C1 = 5 ways
Answer 6*5*5 = 150 ways.
How do you graph x ≤ 5 on a number line? pls help!
Answer:
From 5, the arrow would be facing left and the dot on 5 would be closed
Step-by-step explanation:
Hope this helps
How many millimeters are there in 6.23 meters?
623 millimeters
623,000 millimeters
6,230 millimeters
62,300 millimeters
Answer:
6,230 millimeters is your answer