Answer:
Step-by-step explanation:
PART A
7.5 represents the ounces of water heating up inside the pot.
PART B
40 in the equation will represent the starting point. It can be described as where the temperature started.
PART C
The temperature, of Colton's pot of water after 16 minutes will be 120° 7.5(16) = 120 7.5 being the ounces of water and 16 being minutes.
PART D
After 16 minutes of heating, about 13.3 as additional time will be added for the water to start boiling at 212°.
The temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.
How to evaluate a given mathematical expression with variables if values of the variables are known?You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.
For this case, it is specified that:
y = 7.5x + 40 ( where x = number of minutes the number of minutes the water has been heated, and y represents the temperature of the water in degrees Fahrenheit.)So, if the water is boiling for x = 16 minutes, then the temperature would be:
[tex]y = 7.5 \times 16 +40 = 160^\circ \: \rm F[/tex]
Also, we need to make the temperature reach to 212 degree Fahrenheit after 16 minute of boiling.
Let it takes T time (in minutes more) to reach 212 degree Fahrenheit, then: y = 212, x = 16 + T
Putting these values in the equation, we get:
[tex]y = 7.5x + 40\\212=7.5\times(16+T) + 40\\212 = 120 + 7.5T + 40\\7.5T = 212-160\\\\T = \dfrac{212-160}{7.5} = \dfrac{52}{7.5} \approx 6.93 \: \rm minutes \approx 7 \: \rm minutes[/tex]
Thus, the temperature in degrees Fahrenheit of colton's pot of water after 16 minutes is 160° F. The additional time to the nearest minute will be needed for the water to boil is 7 minutes approximately.
Learn more about evaluating a function at a value here:
https://brainly.com/question/2753269
find the y intercept of the following equation. simplify your answer. y=3\4x+4\7
Answer:
i think the answer is 4/7
Step-by-step explanation:
the formula for slope is y=mx+b where b is the y-intercept and in this given equation 4/7 is in the place of b
What’s the percentage??
Answer:
165 a year
Step-by-step explanation:
what are the solutions to 2x+7X=4? select all that aply
Answer:
x=4/9, one solution
Step-by-step explanation:
Given: 2x+7x=4
Combine like terms: 9x=4
Divide by 9 on both sides to isolate the variable x: x=4/9
Find x. Round the nearest tenth
Answer:
15.9
Step-by-step explanation:
x = 10/ cos 51° = 10/0.629 = 15.9
Which point is graphed on the coordinate plane?
Answer:
8,3
Step-by-step explanation:
Answer:
(8, 3)
Step-by-step explanation:
You can see that it is moved 8 places to the right which represents x (the first number in your coordinate pair). It also moves 3 places above which represents the y (the second number in the coordinate pair).
You can always remember that x goes before y when writing a coordinate pair by the alphabetical order x, y, z..- X goes before Y!
3 is the _________ of -3
A- opposite
B- absolute value
C- both
Brampton is 70 kn due east of Abbott. The bearing of Corwood from Abbott is 015 degrees and from Brampton is 290 degrees. Calculate the distance between Corwood and Brampton to the nearest kilometres
I THINK YOU NEED OPEN MATH BOOK! ;)
If a triangle has sides of lengths 15 cm, 36 cm, and 48 cm, is it a right triangle? Show all algebraic work
for credit AND explain in a full sentence.
20 x 6.7 raised with 3
Answer:
6015.26
Step-by-step explanation:
Answer:
20 x 6.7 = 134
I think you mean the exponent is 3?
anyways,
134 ^3 = 2,406,104 is your answer
rotate the point -104° to within 10°
Answer:
-114*
Step-by-step explanation:
(X-5)^2 in quadratic standard form
The tent shown has fabric covering all four sides and the floor. What is the minimum amount of fabric needed to construct the tent?
Answer:
The answer is "152 ft"
Step-by-step explanation:
Please find the attached file.
The area of the square [tex](8 \times 5=40)[/tex] can be found on the foot.
The area of the triangular front will then be calculated [tex](6\times 4=\frac{24}{2} = 12).[/tex]
Since each has two sides, [tex]24+80=104[/tex].
Therefore the multiplying the area of the bottom square [tex](6\times 8=48)[/tex]by the number of cells to get 152.
Answer:
Step-by-step explanation:
Remove the bottom of the answer. answer should not include bottom answer is 104 Sq FT
Enter the value of p so the expression 12 - 5n is equivalent to p(6 - 2.5n
Answer:
2
Step-by-step explanation:
please answer asap, thanks!
(So sorry I answered late, btw.. I got this from the web)
Answer:
Step-by-step explanation:
Given that In the coordinate plane line p had slope 8 and y intercept (0,5).
Hence equation of line p is
y = 8x+5 (slope intercept form)
When we dilate p by a factor of 3, we have
we find that slope would remain the same but the y intercept would become 3 times.
Hence new line would be
y = 8x+15
Slope = 8 and y intercept = 15
This line will be parallel to original line.
y= 3 cos(x)+2 I need help solving this
Answer:
Use the form acos(bx−c)+dacos(bx-c)+d to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a=3a=3
b=12b=12
c=0c=0
d=0d=0
Find the amplitude |a||a|.
Amplitude: 33
Find the period of 3cos(x2)3cos(x2).
Tap for more steps...
4π4π
Find the phase shift using the formula cbcb.
Tap for more steps...
Phase Shift: 00
Find the vertical shift dd.
Vertical Shift: 00
List the properties of the trigonometric function.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
Select a few points to graph.
Tap for more steps...
xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3
The trig function can be graphed using the amplitude, period, phase shift, vertical shift, and the points.
Amplitude: 33
Period: 4π4π
Phase Shift: 00 (00 to the right)
Vertical Shift: 00
xf(x)03π02π−33π04π3xf(x)03π02π-33π04π3
The function f(n)=100(0.25)^n represents the amount of radioactive substance left after n hours. At what rate in percent is the amount of radioactive substance changing
Answer:
75%
Step-by-step explanation:
Given the function :
f(n)=100(0.25)^n
Comparing the function with
y = a(1 - r)^t
From. The equation, r = rate
Comparing with the value in bracket in the question given :
1 - r = 0.25
1 - 0.25 = r
0.75 = r
Hence, r = 0.75
As a percentage, rate = 0.75 * 100% = 75%
Hence, the rate of change is 75%
Use the table to predict the number of times you will spin 1 when you spin the spinner 100 times.
Answer:
The answer is (3/4)100=75
Hope this helps!
Mark me brainliest if I'm right :)
Find the value of X
A
12
B
X
C
16
D
10
ABCD ~ QRST
Q
6
R
4
S
8
T
5
x = 8
Step-by-step explanation:
X will equal to 8.
4 × 2 = 8 or 4 + 4 = 8
I hope this helps, have a good day!
I need help simplifying this problem:
If someone could explain how to do this problem, I'd really appreciate it :)
C(t)= -0.3(t-12)^2+40
C(12)= -0.3(12-12)^2+40
Thankssss, ily!
A shopkeeper decided to make equal rate of profit in each of fancy items. If he sold a jacket costing Rs 4400 for Rs 5060 at what price did he sell the shoes which was purchased for Rs 3420
Answer:
RS 3933
Step-by-step explanation:
cost price = RS4400
selling price =RS5060
now,
profit amount = selling price - cost price
= RS5060 -RS4400
= RS660
profit %= profit amount / cost price * 100%
= RS 660 / 4400 * 100
= RS 15%
case II
profit % =15%
selling price = RS 3420
now,
profit amount = p% of cp
=15/ 100 *3420
=RS 513
selling price = cp +profit amount
= 3420+513
=RS 3933
Under her cell phone plan, Autumn pays a flat cost of $66 per month and $5 per
gigabyte, or part of a gigabyte. (For example, if she used 2-3 gigabytes, she would
have to pay for 3 whole gigabytes.) She wants to keep her bill under $80 per month.
What is the maximum whole number of gigabytes of data she can use while staying
within her budget?
Answer:
2
Step-by-step explanation:
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
help asap and get brainliest
Answer:
180-62 = 118⁰
x = 118⁰
..
.
Find the expected value of the winnings from a game that has the following payout probability distribution. Round to the nearest hundreath.
The expected value of the winnings from a game will be [tex]2.96[/tex] .
What is Probability ?Probability is the ratio of the number of possible outcomes to the total number of outcomes.
we have,
Payout [tex](\$) = 0,\ \ \ 1,\ \ \ 2,\ \ \ 5,\ \ \ 10[/tex]
Probability [tex]=0.12,0.2,0.38,0.2,0.1[/tex]
So,
To find the expected value,
Now,
Multiply payout values with its probability and sum these values,
i.e.
Expected value [tex]= (0*0.12)+(1*0.2)+(2*0.38)+(5*0.2)+(10*0.1)[/tex]
[tex]=0+0.2+0.76+1+1[/tex]
Expected value [tex]=2.96[/tex]
Hence, we can say that the expected value of the winnings from a game will be [tex]2.96[/tex] .
To know more about Probability click here
https://brainly.com/question/27579447
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Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
A figure can be broken into a triangle and rectangle. The rectangle has a base of 200 millimeters and height of 50 millimeters. The triangle has a base of 50 millimeters and height of 100 millimeters.
What will be the area of the front face of his model?
2,500 square millimeters
10,000 square millimeters
12,500 square millimeters
15,000 square millimeters
The answer is 2,500. You must multiply both of the equations and add them together. The answer will be 2500.
Answer:
Answer:
Option B - 10,000 square millimeters
Step-by-step explanation:
From the image attached, we see that the dimensions of the front of the tower are;
Length; L = 200 mm
Width; w = 50 mm
Now, this front face takes the shape of a rectangle.
Area of rectangle = Length x width
Thus, plugging in the values of length and width, we will get;
Area of front face = 200 x 50
Area of front face = 10,000 square millimeters
Step-by-step explanation:
Last week, Pamela spent 2 3/4 hours watching television. Miranda watched television for 1/2 as many hours as Pamela did. How many hours did Miranda spend watching television?
Answer: [tex]\dfrac{11}{8}\ hr[/tex]
Step-by-step explanation:
Given
Pamela spent [tex]2\ \frac{3}{4}\ hr[/tex] watching television
Miranda watched half as many hours as Pamela did
Converting mixed fraction to fraction
[tex]\Rightarrow 2\ \dfrac{3}{4}=\dfrac{11}{4}[/tex]
Half of it is Miranda watching time
[tex]\Rightarrow \dfrac{\frac{11}{4}}{2}=\dfrac{11}{8}\ hr\ \text{or}\ 1\dfrac{3}{8}\ hr[/tex]
ok I need help yall know it but I don't
Answer:
hope its right :)
Step-by-step explanation:
area=50
prim=6
area=50
prim=16
A statistical question has answers with _______________.
a
one answer
b
yes/no choices
c
outliers
d
variability
Answer:
d variability
The total surface area of rectangular solid is 130cm².If the solid is 7cm long and 5cm wide ,calculate the height
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
¿Cuál (es) de las siguientes sumas es(son) iguales a 1? (todos los numeros despues de la coma tienen una linea abajo)
I. 0,36+0,64
II. 0,18+0,81
III. 0,15+0,85
Answer:
1.
Step-by-step explanation:
0.36 + 0.64 = 1