Answers
Answer: y = 12.5x
Step-by-step explanation:
Because 250 bottles are filled every 20 minutes:
250/20=12.5
So, x=1, y=12.5
Hence, x=2 y=25
Because the number of bottles is directly proportional to the operation of the machine so:
12.5=a+b, 25.2a+b
a=12.5, b=0
Therefore, the equation is y = 12.5x
The Desmos graph of y = 12.5x is attached below
Related Questions
evaluate the expression when c=9 and d=4. 5c+d
Answers
Answer:
5(9)+4= 45+4.....= 49
Step-by-step explanation:
which trig ratio
determine which trig ratio to use to solve for x
Answers
Answer:
Step-by-step explanation:
1.cos
2.sin
3.cos
4.tan
5.sin
6.tan
Step-by-step explanation:
remember the basic trigonometry setup ?
the norm circle (radius = 1) with a horizontal and a vertical line through the center of the circle.
and then there is an angle at the center indicated by the horizontal line and an inclined (by that angle) radius line connecting the center and the circle arc.
this inclined radius line is then the baseline (Hypotenuse) of a right-angled triangle, and the legs of that triangle are sine and cosine of the angle at the center (sine is the vertical leg, cosine is the vertical leg).
in essence (at least it works for me), when given such right-angled triangle problems, I always try to rotate and/or flip this triangle until it looks like the described situation above.
the only other thing to remember is that for triangles inside circles with a different radius than 1, everything is multiplied by the actual radius (it really happens also for the norm circle, but multiplying by 1 does not really change anything, right ?).
so, now for the given problems :
1)
x is the radius of the circle.
we can make 68° the defining angle of that trigonometric situation. so, the top right vertex would be the center of the circle with radius x.
then
30 = cos(68)×x
x = 30/cos(68)
= 80.08401488...
2)
60 is the radius of the circle.
x is the defining angle.
then
15 = sin(x)×60
sin(x) = 15/60 = 1/4
x = 14.47751219...°
3)
x is the radius of the circle.
22° is the defining angle.
then
14 = cos(22)×x
x = 14/cos(22)
= 15.0994864...
4)
the unnamed side is the radius of the circle. let's call it "s".
54° is the defining angle.
then
47 = cos(54)×s
x = sin(54)×s
x/47 = sin(54)×s / (cos(54)×s) = sin(54)/cos(54) = tan(54)
x = 47×tan(54) or 47×sin(54)/cos(54)
= 64.68995026...
5)
14 is the radius of the circle.
41° is the defining angle.
then
x = sin(41)×14
= 9.184826406...
6)
the unnamed side is the radius of the circle. let's call it "s".
x is the defining angle.
then
57 = cos(x)×s
9 = sin(x)×s
9/57 = sin(x)×s / (cos(x)×s) = sin(x)/cos(x) = tan(x)
x = 8.972626615...°
Hall makes 2 free throws for every 9 attempts. How many free throws can you expect hall to make if he shoots 45 times?
Answers
Answer:
10 free throws
Step-by-step explanation:
2/9 = ?/45
You can multiply 2 by 5 since multiplying 9 by 5 gives you 45
2x5=10
10/14
Hope this helps :)
Which graph matches? I'll give brainliest. and 100pts
Answers
Function:
[tex]\sf 2\left(3\right)^{x}+2[/tex]
Find y-intercept:
[tex]y=2\left(3\right)^{0}+2[/tex]
[tex]y=\sf 4[/tex]
option B is correct as it cuts y-intercept at 4
Answer:
This is a positive exponential graph with a y-intercept of 4 (when x is 0, y is 4)
Hope this helps!
What is the most common amount of hours students spent studying? (2 points)
A line plot with the title, time students spent studying, and the line is measured in hours. The horizontal line goes from one third to three. In between, there are seven tick marks labeled as two thirds, one, one and one third, one and two thirds, two, two and one third, two and two thirds. The tick mark one third has two xs, the tick mark two thirds has one x, the tick mark one has four xs, the tick mark one and one third has three xs, the tick mark one and two thirds has three xs, the tick mark two has five xs, the tick mark two and one third has three xs, the tick mark two and two thirds has two xs, and the tick mark three has two xs.
a
1 hour
b
one and one third hours
c
2 hours
d
3 hours
Answers
help please? with a working out would be nice
Answers
Answer:
280 cups total.
Step-by-step explanation:
Tricky. The explanation and answers are on attached images.
Please help me with this please and thank you
Answers
Answer:
Alright so the answer is B but I'll explain why because im nice ig.
Step-by-step explanation:
So lets do some calcumalations.
We'll use 1 as n and should get an output of 3 to check these formulas. Since 1 is the first term and 3 is the first term value makes sense alright.
So 9^1-1 is 0 and any number to the 0 power is 1 so that wont work.
3(4)^1-1 = 3(1); that's the answer
4^1-1 = 1, + 3 = 4 so that wont work either
I hope this helps ya have a great afternoon
if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person
Answers
Answer: 11.4%
Step-by-step explanation:
100% of your life is 57 years
?% will be 6.5 years?
this is a simple ratio problem:
57 --> 100%
6.5 ---> (6.5 x 100)/57 ≅ 11.4%
You have known the person for about 11.4% of your life.
Darin planted 24 packets of seeds in his garden. He planted a combination of bean seeds and corn seeds. If Darin planted 8 packets of bean seeds, which set of steps can be used to find n, the number of packets of corn seeds Darin planted?
Answers
The number of packets of corn seeds Darin planted is 16 packets.
How to write and solve equationTotal packets of seeds = 24Packets of bean seeds = 8Packets of corn seeds = nThe equation:
Total Packets = Bean seeds + corn seeds
24 = 8 + n
subtract 8 from both sides24 - 8 = n
16 = n
Therefore, the number of packets of corn seeds Darin planted is 16 packets.
Learn more about equation:
https://brainly.com/question/2972832
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?
A.$67.00
B.$58.50
C.$41.50
D.$33.00
Answers
Answer:
58.50
Step-by-step explanation:
C.$58.50
|| ▼ Answer ▼ ||
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
A teenager puts $50 into an investment account in January.
If by December the balance in the account increases by 17%,
what is the amount of money in the account in December?
Step 2:
In this case, we are going to use:
[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]
Here, Principal = $ [tex]50[/tex]
Rate = 17%
[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]
Then, we have that:
[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]
[tex]Amount=50~(~1+0.17~)^{1}[/tex]
[tex]Amount=50~(~1.17)[/tex]
[tex]Amount=[/tex] $ 58.50 (Option B)
CONCLUSION:
The amount of money in the account in December = $ 58. 50 ( OPTION B )
Hope this helps!
If you have any queries please ask.
Writing Equations of Parallel Lines
y
5
What is the equation of the line parallel to the given line
with an x-intercept of 4?
y =
4
V
3
2
-5 4 3 2 1
2
5
-1
-2
-3
-5
Intro
Done
Answers
Answer:
y = 4x -16
Step-by-step explanation:
The equation of the parallel line can be written from the given x-intercept when we know its slope. The slope will be the same as that of the graphed line. It can be found using the slope formula with the marked points (-3, -3) and (-1, 5).
m = (y2 -y1)/(x2 -x1)
m = (5 -(-3))/(-1 -(-3)) = 8/2 = 4 . . . . . slope of the lines
The point-slope equation for the line with slope 4 through point (4, 0) will be ...
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -0 = 4(x -4) . . . . line with slope 4 through the given x-intercept
y = 4x -16 . . . . . . expanded to slope-intercept form
Please help as soon as possible
Answers
Answer:
[tex]9 \times 3 = 27 \\ 15 \times 6 = 90 \\ = 30.255 \\ 49 \times 3.14 = 153.86 \\ 153.86 + 30.255 + 27 = 211.115[/tex]
The mean of 5 numbers is 8.four of the numbers are 7,9,11 and 5.find the fifth number.
Answers
Answer:
8
Step-by-step explanation:
One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.
When we subtract the mean from the given numbers, we find the differences are ...
-1, 1, 3, -3
The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.
A tank that is 20% full contains 125 gallons of water. How many gallons would be needed to fill the entire tank? How many gallons are there if thetank was 30% full? What percent of the tabk is full if tgerd are 500 gallons?
Answers
Answer:
625
Step-by-step explanation:
becuase 20% is equivilant to 1/5 you need to multiply by 5 to get 1t or full.
part b: 187.5
part c: 125 gallons is 25%. this is because you can fit 4 of it into one 500 gallon tank
Answer:
625 gal, 187.5 gal, 80%
Step-by-step explanation:
[tex]\frac{125}{x}[/tex]=[tex]\frac{20}{100}[/tex] 125*100/20=625
[tex]\frac{x}{625}=\frac{30}{100}[/tex] 30*625/100=187.5 or 625*.3=187.5
[tex]\frac{500}{625}=\frac{x}{100}[/tex] 500*100/625=80
a sphere and a cylinder have the same volume. each figure has a radius of 13. what is the height of the cylinder?
Answers
Answer:
V = 4/3 π R^3 volume of a sphere
V = π R^2 H volume of cylinder area of base X height
4/3 π R^3 = π R^2 H equal volumes
H = 4/3 R relationship of height to radius for cylinder
H = 4/3 * 13 = 52 / 3 cm = 17 1/3 cm
geometry help me please
Answers
Answer:
2448
Step-by-step explanation:
because 12×12=144×17=2448
PLS HELP I WILL GIVE BRAINLESt TO THE PERSON WHO SOLVES ALL OF THE CORRECTLY
Answers
Answer:
m^4 - 225c^10 = (m^2 - 15c^5 )(15c^5 + m^2)
4.8xy + 36y^2 + 0.16x^2 = (6y + 0.4x)^2
HELP WILL MARK BRAINLIST AND 5 STARS
Answers
Answer:
10 feet
Step-by-step explanation:
We are trying to find Madison's height plus Jade's height...
Turn the fractions into improper fractions
So,
5 1/6 = 31/6
4 5/6 = 29/6
31/6 + 29/6 = 10 feet
or
5+4= 10 and 1/6+5/6 = 1
so the answer is 10 feet
PLEASE RATE!! I hope this helps!!!
If you have any questions comment below
What is 2+2 I think it’s still 2 but I am not sure yet
Answers
Answer:
it actually equals 5
Step-by-step explanation:
the reason it equals 5, is because there are 5 variables in there, so because of the addition sign, it becomes 1+1+1+1+1=5. you cannot prove me wrong.
Answer:
the correct answer is 4
Step-by-step explanation:
2 + 2 = 4
hope this helps
have an awesome day -TJ :)
A pair of pants has been marked down from $36 to $27.
Answers
Answer:
Step-by-step explanation:
The percentage decrease is 25% or 36 subtract 27 gives you 9
What is the image point of (5,-6)(5,−6) after the transformation r_{\text{y-axis}}\circ T_{-4,0}r
y-axis
∘T
−4,0
?
Answers
The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).
How to apply a rigid transformation in a point on a Cartesian plane
In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original pointT(x,y) - Translation vectorP'(x,y) - Image pointIf we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:
P'(x,y) = (5, -6) + (-4, 0)
P'(x,y) = (1, -6)
The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]
Remark
Statement is incorrect and poorly formatted. Correct form is shown below:
What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?
To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538
The box-and-whisker plot below represents some data set. What is the minimum value of the data?
Answers
Answer:
minimum value is: the left whisker
Step-by-step explanation:
box an whisker plot: left line is the minimum, first part of the box is Q1, where the box has a middle line it is called Median, the other end of the box is Q3, the right line is called the maximum whisker.
Hope this helps
Congruent vs. Similar Triangles
I really need an explanation on how to do this
Answers
Answer:
Cross multiply
Step-by-step explanation:
Sofia buys 3.8 pounds of potatoes for $0.85 per pound. Flynn buys 4.2 pounds of potatoes for $0.75 per pound.
How much more does Sofia spend than Flynn?
Answers
Answer:
Step-by-step explanation:
A. $0.08
Step-by-step explanation:
I would find out the total price of potatoes for each person:
Sofia: $0.85 x 3.8lb = $3.23
Flynn: $0.75 x 4.2lb = $3.15
To get the final answer, I would subtract to find the difference between the two prices.
$3.23 - $3.15 = $0.08
3(1.07)^18 can you please help??
Answers
the answer should be 10.13979682
I need the answer please
Answers
Answer: sqrt(182)
Step-by-step explanation:
Simplify 3a+2(4a-b)
please simplify this equation
Answers
[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]
3a+2(4a-b)=
3a+8a-2b=
[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]
xLasersx✨Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answers
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
PLEASE ANSWER I DONT KNOW THE ANSWER
Answers
Answer:
D. 201.1
Step-by-step explanation:
We see that the radius o the given circle is 16, so we do 16^2*pi
then we multiply that be 90/360
which rounds to 201.1
Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answers
Answer:
[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]
I am joyous to assist you at any time.