Answer:
y= -6
Step-by-step explanation:
the y-intercept is -6, which corresponds to point (0,-6)
remember that you're using the
y=mx+b format of an equation of a line where b is the y-intercept.
Also, if you make x=0, y will be -6.
what is the best deal for diet coke?
12oz. for $.99
64oz. for $.2.99
128oz. for $4.99
Answer:
128 for 4.99
64 for 2.99 times 2 is more than 4.99.
12 oz. for 0.99 is also more than 4.99.
Solve 7 pleaseeeeeeeeeeeeeeeee
Answer:
5040
Step-by-step explanation:
I assume you really mean 7!
you understand what "!" means ?
n! = n×(n-1)×(n-2)×(n-3)×...×3×2×1
so,
7! = 7×6×5×4×3×2×1
now all you need is a calculator.
7! = 5040
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x^2+10x+7.5 where x is the number of feet away from the sprinkler head (along the ground) the spray is.
The irrigation system is positioned____ feet above the ground to start.
The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.
The spray reaches all the way to the ground at about_____ feet away
9514 1404 393
Answer:
7.5 ft32.5 ft, 5 ft10.7 ftStep-by-step explanation:
a) The starting height is h(0) = 7.5 feet, the constant in the quadratic function.
The irrigation system is positioned 7.5 feet above the ground
__
b) The axis of symmetry for quadratic ax^2 +bx +c is x = -b/(2a). For this quadratic, that is x=-10/(2(-1)) = 5. This is the horizontal distance to the point of maximum height. The maximum height is ...
h(5) = (-5 +10)(5) +7.5 = 32.5 . . . feet
The spray reaches a maximum height of 32.5 feet at a horizontal distance of 5 feet from the sprinkler head.
__
c) The maximum distance will be √32.5 + 5 ≈ 10.7 ft.
The spray reaches the ground at about 10.7 feet away.
Answer:
7.5
32.5
5
maximum
10.7
Step-by-step explanation:
Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free-response question. There are 15 questions on the test and the students have been given 55 minutes to complete it. A Table titled Test Time, showing Number of Questions, Time per Item in minutes, and Total Time in minutes. The first row shows Multiple Choice, with m, 3, and 3 m. The second row shows Free Response, with 15 minus m, 8, and x. The third row shows Total, with 15, blank, and 55. Which value could replace x in the table? Which value could replace x in the table?
Answer:
c
Step-by-step explanation:
Answer:
c is the correct answer
Mrs Lee used 6 Meters of material to make 3 dresses. She used 4 ties as much material for a curtain as for a dress. How much material did she use for the curtain? (Dress)
Answer:
for each dress she used 6/3 of material
=2
then for a curtain =2x4=8 materials
The half life of carbon 14 is 5,730 year suppose a fossil found with 20 percent as much of its carbon 14 as compared to a living sample how old is the fossil
3,235 years
32,346 years
1331 years
13,307 years
13,305 years
Step-by-step explanation:
[tex]A = A_02^{-\frac{t}{5730}}[/tex]
Since only 20% of the original C-14 is left, then [tex]A=0.2A_0[/tex]. We can then write
[tex]0.2A_0=A_02^{-\frac{t}{5730}}[/tex]
Taking the log of both sides,
[tex]\log 0.2 = \left(-\dfrac{t}{5730}\right)\log 2[/tex]
Solving for t,
[tex]t = \dfrac{-(5730\:\text{years})\log 0.2}{\log 2}[/tex]
[tex]\:\:\:\:\:\:\:= 13,305\:\text{years}[/tex]
PLEASE I NEED HELP!!
Answer:
it is (4,120)
hope this helps you
six options. Each of these six options leads to a menu with four options. For each of these four options, three more options are available. For each of these three options, another three options are presented. If a person calls the 800 number for assistance, how many total options are possible
Answer:
Hence the total number of possible options available to a person who calls the 800 number is 216.
Step-by-step explanation:
Given that the caller 10 800 telephone system has six options. For each of these four options, three more options are available. For each of these three options, another three options are presented.
Hence the total number of possible options available to a person who calls the 800 number = [tex]6 \times 4 \times 3 \times 3 = 216[/tex].
Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 2–by–3–foot rectangle with a semicircle at each end, as shown.
Answer:
[tex](a)\ Area = 13.0695[/tex]
[tex](b)\ Area = 26.139[/tex]
Step-by-step explanation:
Given
The attached image
Solving (a): The area (one side up)
This is calculated as:
Area= Area of semicircle + Area of rectangle
So, we have:
[tex]Area = \pi r^2 + l *w[/tex]
Where:
[tex]l,w =2,3[/tex] --- the rectangle dimension
[tex]d = 3[/tex] --- the diameter of the semicircle
So, we have:
[tex]Area = \pi * (3/2)^2 + 2 * 3[/tex]
[tex]Area = \pi * 2.25 + 6[/tex]
[tex]Area = 2.25\pi + 6[/tex]
[tex]Area = 2.25*3.142 + 6[/tex]
[tex]Area = 13.0695[/tex]
Solving (b): Area when both leaves are up.
Simply multiply the area in (a) by 2
[tex]Area = 2 * 13.0695[/tex]
[tex]Area = 26.139[/tex]
Graph the solution set to this Inequality.
-2x + 9 < 51 12
Answer:
X<-2551.5
Step-by-step explanation:
-2x<5112-9
-2x/-2<5103/-2
x<-2551.5
NEED HELP ASAP GIVING BRAINLIEST!!!!!!!!!!!!!!!!!!
Answer:
option D
Step-by-step explanation:
[tex]sin^2 ( \frac{3\pi}{2}) + cos^2(\frac{3\pi}{2}) = 1\\\\( -1)^2 + 0^2 = 1[/tex]
Explanation:
[tex]sin x = cos( \frac{\pi}{2} - x)\\\\sin(\frac{3\pi}{2}) = cos ( \frac{\pi}{2} - \frac{3\pi}{2})\\[/tex]
[tex]=cos(\frac{\pi - 3\pi}{2})\\\\ =cos(\frac{2\pi}{2})\\\\=cos \ \pi\\\\= - 1[/tex]
Therefore ,
[tex]sin^2( \frac{3\pi}{2}) = ( - 1)^2[/tex]
Using law of sines please show process and answer
Hello,
[tex]\widehat{A}=180^o-24.4^o-103.6^o=52^o\\\\\dfrac{sin(24.4^o)}{37.3} =\dfrac{sin(103.6^o)}{c} \\\\\\c=87.760246\approx{87.8}\\\\\\\dfrac{sin(52^o)}{a} =\dfrac{sin(24.4^o)}{37.3} \\\\\\a=71.1510189...\approx{71.2}\\[/tex]
heeeeeeeeeeeeelp meee
Answer: i need the formula and i got you.
Step-by-step explanation:
Statesville's population in 2010 was about 24,500, and was growing by about 1% each year. continues, what will Statesville's population be in 2019? [Round to the nearest person.]
Answer:
26,795 people
Step-by-step explanation:
P(x) = 24,500 × (1 + 0.01)^(2019-2010)
= 24,500 × (1.01)^9
= 24,500 × 1.0937
= 26,795 people
The required population of Statesville in the year 2019 will be 26,795.
Statesville's population in 2010 was about 24,500, growing by about 1% each year. Statesville's population be in 2019 to be determined.
The function which is in format f(x) = a^x where, a is constant and x is variable, the domain of this exponential function lies ( -∞, ∞ ).
Let Statesville's population in 2019 = x
Statesville's population in 2010 = 24500
Population growing by about 1% = 1/100
= 0.01
Difference in year n = 2019 - 2010
n = 9
Population in 2019,
x = 24500 * ( 1 + 0.01 )^9
x = 24500 * ( 1.01 )^9
x = 26, 795.295
To the nearest people x = 26,759
the population of Statesville in the year 2019 = 26,759
Thus, the required population of Statesville in the year 2019 will be 26,795.
Learn more about exponential function here:
brainly.com/question/15352175
#SPJ2
evaluate:(0.0001)-¾
Answer:
0.001
Step-by-step explanation:
(0.0001)^-3/4=((0.1)⁴)^-3/4
(0.1)^4×-3/4
0.1^‐3
0.001
Which sequence is geometric?
O 1,5, 9, 13, ….
O 2, 6, 8, 10, ...
O 5, 7, 9, 11, ....
O 4, 8, 16, 32, ….
Answer:
4, 8, 16, 32, ...
Step-by-step explanation:
8 / 4 = 2
16 / 8 = 2
32 / 16 = 2
Common ratio is 2
So, The sequence 4, 8, 16, 32, …. is geometric.
Find the length of side AB.
Give your answer to 1 decimal place.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, scalene, equilateral, acute, obtuse and right angled triangle. A right angle triangle is a triangle with one angle being 90°.
Trigonometric ratios is used to show the relationship between the angles and sides of a right angled triangle. Examples are:
sinΘ = opposite/hypotenuse; cosΘ = adjacent/hypotenuse; tanΘ = opposite/adjacent
From the question:
cos(62) = AB/12
AB = 12 * cos(62)
AB = 5.6 cm
Use the theoretical method to determine the probability of the outcome or event given below.
The next president of the United States was born on Monday
Answer:
[tex]\frac{1}{7}[/tex] probability that the next president of the United States was born on Monday
Step-by-step explanation:
A theoretical probability is given by the number of desired outcomes divided by the number of total outcomes.
The next president of the United States was born on Monday
Any person, including the next president of the United States, can be born on 7 possible days: Sunday, Monday, Tuesday, Wednesday, Thursday, Friday or Saturday, one of which is Monday.
So
[tex]\frac{1}{7}[/tex] probability that the next president of the United States was born on Monday
I need help asap will give five stars and mark u the brainliest
Answer:
-00
OKAY
OKAY
OK
OK
DGSOTSITS6EUEYEYTITUTUTIT
Can someone just check my answers please? Please let me know which questions are wrong. Thank you for your time.
Answers:
1 liter of acid4 liters of waterYou got the first question correct, but the second one is wrong. The two values must add up to 5.
===================================================
Explanation:
We're told that 20% of this solution is acid. We have 5 liters total, so
20% of 5 = 0.20*5 = 1
Meaning there's 1 liter of pure acid in this solution.
The remaining 5-1 = 4 liters of the solution is water
Or you could note that if 20% is pure acid, then the remaining 80% is water
80% of 5 = 0.80*5 = 4
------------------
Another approach is to realize that 20% is the same as the fraction 1/5
So if 1/5 of the mix is pure acid, and we have 5 liters of the solution, then we must have 1 liter of pure acid
(1 liter of pure acid)/(5 liters of solution) = 1/5 = 20% acid solution
Answer:
I think they all look pretty good for the most part
1 1/3 bushels of seed are needed to plant 1 acre of wheat. How many bushels of seed would be required to plant 30 acres?
An acre requires 1.33 bushels of seed.
Thirty acres thusly require 30 times 1.33 bushels of seed.
So we have, [tex]1.33\cdot30=\boxed{39.9}[/tex] bushels of seed.
Hope this helps.
Jan is as old as Gary was 15 years ago. Six years from now, Gary will be twice as old as Jan will be then. How old is Gary now?
Answer:
Gary is now 24years
Step-by-step explanation:
let the age of Jan be x and that of Gary be x+15
in six years time they will be as follows
Jan =x+6
Gary=x+15+6=x+21
2(x+6)=x+21
2x+12=x+21
collect the like terms
2x-x=21-12
x=9
Gary =9+15=24years
the focus of a parabola is (-5,-1) and the directrix is y= -3.
what is an equation of the parabola? (one of the answered above)
Answer:
Step-by-step explanation:
-2
What is the value of -5^6?
Need answers asap plz
Answer:
-15,625
Step-by-step explanation:
[tex]-5^6[/tex] = -15,625
Hope this helps.
Answer:
-15,625 ... be carful on this type question
the - sign does NOT get raised to the 6th power...
[tex](-5)^{6}[/tex] that would be + .... [tex]-5^{6}[/tex] is negative
Step-by-step explanation:
..................................................................
Answer:
Hello?
Step-by-step explanation:
Find the next number of the series 563, 647, 479, 812
Answer:
146
Step-by-step explanation:
next number is the last -666
Graph Ex+ 3y = 24
a.
b.
c.
d.
Answer:
(b)
Step-by-step explanation:
Given
[tex]8x + 3y = 24[/tex]
Required
The graph
First, make y the subject
[tex]3y = 24 - 8x[/tex]
Divide through by 3
[tex]y = 8 - \frac{8}{3}x[/tex]
Let x = 3
[tex]y = 8 - \frac{8}{3}*3 = 8 - 8 = 0[/tex]
Let x = 6
[tex]y = 8 - \frac{8}{3}*6 = 8 - 16 = -8[/tex]
So, we plot the graph through
[tex](3,0)[/tex] and [tex](6,-8)[/tex]
See attachment for graph
The following data represents the serum HDL cholesterol level for a random sample of 40 male 20- to 29-year old patients. 70 56 48 48 53 52 66 48 36 49 28 35 58 62 45 60 38 72 45 51 56 51 46 39 56 32 44 60 51 44 63 50 46 69 53 70 33 54 55 52 a. Please make a stem-and-leaf display of the serum HDL cholesterol distribution. b. Please provide the 5-number summary and the IQR and make a box-and-whisker plot of the data. Using five classes: c. Please find the class width and the upper and lower class limits. Please make a frequency table showing frequencies and relative frequencies. Please draw a frequency histogram. Please upload your picture of all of your work.
Use the image to complete the equation below. Do not include any spaces in your answer
Linear pair of angles are supplementary (180°).
So,
(3q) + (15q + 18) = 180°.
helppp!! 21 - 3y = -18
3x+ y = -5
Answer:
(-3,4)
Step-by-step explanation:
A system of equations is given to us. The given equations are ,
[tex]\implies 2x - 3y = -18[/tex]
[tex]\implies 3x + y =-5[/tex]
We need to plot the graph and find the solution of the given system . For that refer to attachment . The point at which both the lines of the graph will intersect each other will be the solution of the given system of equations .
From the graph we can see that it intersect at (-3,4) . Therefore the Solution is ,
[tex]\longrightarrow \underline{\underline{ Solution = (-3,4)}}[/tex]
Answer: If you graphing it’s (-6, 13) or (3, 4)
Step-by-step explanation:
21 - 3y = -18- y = 13
3x + y = -5- x = -6