Answer:
Hello
y=(x+1)/12 +1
Step-by-step explanation:
[tex]\text{As the directrice is horizontal:}\\\\\\y=-2 ==> k=-2\\\\Focus=(a,b)=(-1,4)\\\\\boxed{y=\dfrac{x-a}{2(b-k)} +\dfrac{b+k}{2} }\\\\\\y=\dfrac{x+1}{2(4+2)} +\dfrac{4-2}{2} }\\\\\boxed{y=\dfrac{x+1}{12} +1}\\[/tex]
Solving proportional relationships. 1) Pamela drove her car 234 miles and used 9 gallons of fuel. She wants to know how many miles she can drive with 30 gallons of fuel. She assumes the relationship between miles and fuel is proportional.
Answer:
[tex]780\text{ miles}[/tex]
Step-by-step explanation:
Since Pamela's car's MPG (miles-per-gallon) is maintained, we can set up the following proportion:
[tex]\frac{234}{9}=\frac{x}{30}[/tex], where [tex]x[/tex] is the number of miles she can drive with 30 gallons of fuel.
Multiply both sides by 30:
[tex]x=\frac{234\cdot 30}{9},\\x=\boxed{780\text{ miles}}[/tex]
Therefore, Pamela can drive 780 miles with 30 gallons of fuel.
The area of this rectangle is 3x2. What does the coefficient 3 mean in terms
of the problem?
width x
length 3x
Answer:
the answer is 3x the width
a room in a form of a cuboid has a length of 5cm, height 8cm and breadth 0.07m. if one person can occupy a volume of 14cm3(cube). what is the maximum number of people needed to fill the room
Answer:
20 people
Step-by-step explanation:
The volume of a cuboid is equal to length * breadth * height.
First, we want to figure out the values relative to each other. Everything is in centimeters except the breadth, which is 0.07m. To convert meters to centimeters, we can multiply by 100: 0.07 * 100 = 7, so the breadth is 7cm.
Next, the volume is length * breadth * height = 5cm * 7cm * 8cm = 280cm³. Each person occupies 14cm³. To find how many people can occupy the cube, we can divide the volume by the space each person takes, so
280cm³/14cm³ = 20 people
Note that we can divide because each person takes x amount of space, and the total space, z, can be represented by x * y = z, with y representing the amount of people, because we add x space for each person. Dividing both sides by x, we get y = z/x
The doubling time of a population of flies is 5 hours. By what factor does the population increase in 29 hours? By what factor does the population increase in 3 weeks?
Answer:
If it doubles every 8 hours then
population = initial population * 2 ^ (hours / 8)
********************************************---------
after 26 hours
population increases by a factor of
2 ^ (26 / 8) = 9.51365692
************************************************--------
after 1 week, or 168 hours
population increases by a factor of
2 ^ (168 / 8) = 2 ^ 21 = 2,097,152
Please help as soon as possible.
Answer:
C = 37.6991
Step-by-step explanation:
The equation for the circumference of a circle is given: C = π · d
where, d is the diameter of the circle.
Plug in the value of d = 12 and use the π button on the calculator.
C = π · 12
C = 37.6991
20% of the people in a village own a dog, 30% own goats and 40% own cattle, 5% own both a dog and goats, 4% own both a dog and cattle and 3% own both goats and cattle. If 1% own all three, what percentage of the village own none of the three?
Answer:
37 %
Step-by-step explanation:
here..
only Dog = 20- 5 - 4 - 1 = 10
only goats = 30 - 5 - 3 - 1 = 21
only cattle = 40 - 4 - 3 - 1 = 32
then ... since the maximum percentage is 100 %
people who don't own any animal = 100% - 10% - 21% - 32% = 37 %
help please i’m so desperate
You're fairly close but not 100% correct.
This function is logarithmic simply because of the presence of "log" in the notation. So you're correct with that statement.
However, we have a vertical asymptote and not a horizontal one. Note how the green function approaches but never touches x = 2. This is a vertical electric fence of sorts. This is due to the fact that log(x) cannot have x = 0. So log(x-2) cannot have x = 2. We can't have x < 2 either.
So you'll need to change that '3' to '2' without quotes of course.
The range is correct. The function can spit out any y value we want. So the range is the set of all real numbers, or we could say -infinity < y < infinity which translates to the interval notation you wrote. The function is increasing because we're going uphill when moving to the right.
The domain is not correct. The domain would be x > 2 to represent the possible x inputs. We can plug in anything larger than 2. The inequality x > 2 translates to the interval notation [tex](2, \infty)[/tex]
The end behavior portion is half correct. The left side end behavior should be [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] to represent the idea of getting closer to that electric fence and going off to negative infinity (down the page forever). We don't have x approaching negative infinity because we can't go beyond that fence. The end behavior on the right side is correct.
-------------------
So the answers would be
The function f(x) is a logarithmic function with a vertical asymptote x = 2. The range of the function is [tex](-\infty, \infty)[/tex] and it is increasing on its domain of [tex](2, \infty)[/tex]. The end behavior on the left side is [tex]\text{ as } x \to 2, \ y \to -\infty[/tex] and the end behavior on the right side is [tex]\text{ as } x \to \infty, \ y \to \infty[/tex]
Check out the attached image below.
A plant is growing at a constant rate. The plant was 4 cm tall after 1 month. The
plant was 32 cm tall after 9 months. Use let statements to define your variables &
write a conclusion statement to state your answer.
a) What is the rate of change?
b) Write an equation to represent this partial variation.
Answer: among us
Step-by-step explanation:
What is the y-intercept of the line 2x-4y=8
Answer:
The y intercept is -2
Step-by-step explanation:
Hi there!
We want to find the y-intercept of the line 2x-4y=8
The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.
So substitute 0 as x into the equation
2(0)-4y=8
Multiply
0-4y=8
Simplify
-4y=8
Divide both sides by -2
y=-2
The y intercept is -2. If you need it as a point, it's (0, -2)
Hope this helps!
f(x) = -22 – 14
Find f(9)
Answer:
-4
Step-by-step explanation:
f(9)=-22-14
f(9)=-36
f multiplied by 9divide by 9=-36divide by 9
f=-4
I dont know how to solve these.
a)x^2 =2x + 48
b)t^2 + 5t =-6
c) x^2= 30 - 7x
Answer: a. x=8,-6 b.t=-2,-3 c. x=3,-10
Step-by-step explanation: your basicly solving for x but u can also use it math
its free and online i use most of the time and it helps hope this helps you
pls answer my maths questions fast reply me soon
you didn't even put the question down
13.6 divided by 0.81 simplified.
Answer:
16.8
Step-by-step explanation:
2) Find the sum of the first 50 terms of the
following series, to the nearest integer.
6, 10, 14,...
Answer:
The sum of the first 50 is 5200
Step-by-step explanation:The given sequence is a linear sequence.
So, first we calculate the common difference
d=t2-t1
d=10-6=4
The sum of the first 50 terms is then calculated using: sorry it wont let me copy and paste my explo and im lazy
Answer:
5,200
Step-by-step explanation:
6, 10, 14, ...
Sum = [ number of terms(first term+last term) ] / 2
-we know there are 50 terms
-we now the first term is 6
-we need to find the last term
last term = first term + (n-1)* difference between first and second term
last term = 6 + (50-1) * (10-6)
last term = 6 + 49*4 = 202
Sum = [ number of terms(first term+last term) ] / 2
Sum = [ 50 ( 6 + 202) ] / 2 = 5,200
A skirt was originally priced at $30. The store is having a 40% off sale.
How much of a discount will you receive on the skirt?
Answer:
The skirt would be $12.00
Step-by-step explanation:
you take the original price ($30) and divide by 100, then you are going to get 0.3. After you have divided you are going to multiply the 0.3 to the 40% then you should get your total of 12.00 dollars!
It costs $10 to play football for one-half hour. How many 10-dollars bills do we need to play football for 6 hours?
Answer:
12
Step-by-step explanation:
how many half hours in 6 hours ?
it is
6/(1/2) = 6/1 / 1/2 = 6×2 / 1/1 = 12 / 1 = 12
in which figure , AB || CD . determine x
☝︎☝︎☝︎☝︎☝︎
[tex]{\underline{\fcolorbox{White}{yellow}{ANSWER♥︎}}}[/tex]See the attachment☝︎☝︎☝︎....Help Please!!!
Find The Lateral surface area of this cylinder
Answer:
LSA = 56.5 cm²
Step-by-step explanation:
LSA = 2πrh
LSA = 2π(3)(3)
LSA = 56.5 cm²
FOR EASY BRAINLIEST ANSWER AND EXPLAIN!! ASAP
QUESTION: A 30minute radio program, the entertainment portion lasts 2 minutes longer than 3 times the duration of the commercial portion. How much is devoted to commercials during the 30 minutes
Identify the decay factor in the function. g(x)=100•(2/3)^x
Answer:
1/3
Step-by-step explanation:
Use the formula to compute Isabel’s monthly loan payment, assuming that she makes a down payment of $5,000. Recall that the table shows she’ll finance $16,950, and her interest rate is 4.3%.
Type the correct answer in the box. Round the answer to the nearest dollar.
Isabel’s monthly loan payment will be about $
.
Answer:
314
Step-by-step explanation:
unit activity
What is the value of y?
Answer:
C
Step-by-step explanation:
Exterior angle equals the sum of opposite interior angles
y + y = 130
2y = 130
Divide both sides by 2
y = 130/2
y = 65
Answer:
C.65
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
y+y = 130
2y = 130 divide both sides by 2
y = 65
Make x the subject of the formula y=4x²-2
Step-by-step explanation:
y=4x²-2y+2=4x²√(y+2)/4=xx=√(y+2)/4hope it helps.stay safe healthy and happy....find the two rational number between -2 and-1
Answer:
-3/2, -7/4
Step-by-step explanation:
The numbers have to be negative, and two rational numbers between -1 and -2 are -1.5 and -1.75 and fortunately for us, both are rational (can be expressed as fractions), -1.5 = -3/2 and -1.75 = -7/4
HPH (Happy to help)
Sadi wanted to compare the fractions 2 3 and 5 9 using common denominators. His work is shown below. The common denominator is 9. Two-thirds times one-third = two-ninths. Two-ninths less-than five-ninths. So, two-thirds is less-than five-ninths. What errors did Sadi make? Check all that apply. The common denominator is 6, not 9. He should have multiplied by, not . He should have gotten a common numerator, not a common denominator. The fraction is greater than , not less than
Answer:
He should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]
The fraction is greater than
Step-by-step explanation:
Given
[tex]\frac{2}{3}\ \&\ \frac{5}{9}[/tex]
Sadi's steps are:
The common denominator is 9.
[tex]\frac{2}{3} * \frac{1}{3} = \frac{2}{9}[/tex]
[tex]\frac{2}{9} < \frac{5}{9}[/tex]
So:
[tex]\frac{2}{3} < \frac{5}{9}[/tex]
Required
Sadi's error
Her first error is that: he should have multiplied by [tex]\frac{3}{3}[/tex] and not [tex]\frac{1}{3}[/tex]
This is so because, whatever factor is multiplied to the numerator has to be multiplied to the denominator, as well.
So, we have:
[tex]\frac{2}{3} * \frac{3}{3} = \frac{6}{9}[/tex]
By comparison:
[tex]\frac{6}{9} > \frac{5}{9}[/tex]
So, his second error is that: the fraction is greater than
Answer:
B. He should have multiplied 2/3 by 3/3 not 1/3
D. The fraction 2/3 is greater than 5/9, not less
than 5/9.
Step-by-step explanation:
Just did it on EDGE2021 and got it right :D
Point A(3,8)
and point B(−1,1)
are located within the coordinate plane.
what is the distance from A to B?
Answer:
[tex]\displaystyle d = \sqrt{65}[/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 A(3, 8)
Point B(-1, 1)
Step 2: Find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-1 - 3)^2 + (1 - 8)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-4)^2 + (-7)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{16 + 49}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{65}[/tex]Answer:
8.1
Step-by-step explanation:
the person who posted before was correct! they just forgot to change the format of the answer, see their response for an accurrate explanation :)
SOMEONE HELP ME PLEASE
Answer:
0.6/7 is the answer.....
Answer:
what are the answer choices
Step-by-step explanation:
A 240hp automobile engine delivers 195hp to the drive wheels, what is the effciency of the transmission and drive mechanism?
Answer:
81.25%
Step-by-step explanation:
Given that :
Engine power = 240 hp
Power delivered to drive wheel = 195 hp
Efficiency = (power delivered to drive wheel / Engine power) * 100%
Efficiency = (195 / 240) * 100%
Efficiency = 0.8125 * 100%
Efficiency = 81.25%
The efficiency of transmission and drive mechanism is 81.25%
how do solve this problem
Answer:
vertically opposite angles are equal
3x+112°=5x+100°
112°-100°=5x-3x
12°=2x
12°÷2=2x÷2
6°=x
therefore x=6°
Step-by-step explanation:
hope this is helpful
Answer:
x = 6
Step-by-step explanation:
The 2 angles are vertically opposite and are congruent, so
5x + 100 = 3x + 112 ( subtract 3x from both sides )
2x + 100 = 112 ( subtract 100 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
There were some adults and children at the party. For every 3 adults, there 11 children. There were 32 more children than adults. How many adults were at the party?
Answer:
12 adults
Step-by-step explanation:
Given that :
Let :
Number of children = x
Number of adult = y
x = 32 + y - - - - - (1)
Ratio of adult to children
3 : 11
x = (11/3)y - - - (2)
Put x = 11/3y in (1)
(11/3)y = 32 + y
11y/3 - y = 32
(11y - 3y) / 3 = 32
11y - 3y = 32 * 3
8y = 96
y = 96/8
y = 12
Hence, number of adults = 12
