The formula used to convert degrees Celsius to degrees Fahrenheit is
F=?C +32
Convert 68°F to degrees Celsius. Solve the formula for C, and then use it to
convert the temperature.
Which is the correct formula and conversion?
Answers
Answer:
9
Step-by-step explanation:
The correct conversion is 68°F = 20°C.
What is unit conversion?
Conversion is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We are given that;
To convert 68°F
Now,
To solve the formula for C, we need to isolate C on one side of the equation. We can do this by subtracting 32 from both sides and then dividing by 1.8. The steps are:
F = 1.8C + 32
F - 32 = 1.8C
(F - 32) / 1.8 = C
Therefore, the correct formula for C is:
C = (F - 32) / 1.8
To convert 68°F to degrees Celsius, we can plug in F = 68 into the formula and simplify. The steps are:
C = (68 - 32) / 1.8
C = 36 / 1.8
C = 20
Therefore, after conversion the answer will be 68°F = 20°C.
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Related Questions
Y^2 - X when X = 6 and Y = 11
Answers
Answer:
When X = 6 and Y = 11, (Y^2 - X)=(11^2-6)=(121-6)=115)
Step-by-step explanation:
For the motion given by the equations x1 = X1 cosωt + X2 sinωt,
x2 = −X1 sinωt + X2 cosωt,
x3 = (1+kt) X3,
where ω and k are constants, determine the displacement field in Eulerian form.
Answers
The displacement field in Eulerian form is x1 = cos(ωt)x + sin(ωt)y, x2 = -sin(ωt)x + cos(ωt)y and x3 = kX3tz + X3.
To determine the displacement field in Eulerian form, we need to express each coordinate x1, x2, and x3 as a function of the Eulerian coordinates (x, y, z) and time t.
Starting with x1, we have:
x1 = X1 cos(ωt) + X2 sin(ωt)
Using the trigonometric identity cos(α + β) = cos(α)cos(β) - sin(α)sin(β), we can rewrite this as:
x1 = X1 cos(ωt)cos(0) + X2 sin(ωt)cos(0) + 0sin(ωt)sin(0) + 0cos(ωt)sin(0) + 0sin(ωt)cos(0) + 0cos(ωt)cos(0)
Notice that this expression matches the form:
x1 = a11x + a12y + a13z + a14t + a15
where a11 = cos(ωt), a12 = sin(ωt), a13 = 0, a14 = 0, a15 = 0.
Using the same process for x2 and x3, we get:
x2 = -X1 sin(ωt) + X2 cos(ωt) = -X1 sin(ωt)cos(π/2) + X2 cos(ωt)cos(π/2) + 0sin(ωt)sin(π/2) + 0cos(ωt)sin(π/2) + 0sin(ωt)cos(π/2) + 0cos(ωt)cos(π/2)
which matches the form:
x2 = a21x + a22y + a23z + a24t + a25
where a21 = -sin(ωt), a22 = cos(ωt), a23 = 0, a24 = 0, a25 = 0.
x3 = (1 + kt)X3 = 0x + 0y + kX3t + X3 = 0x + 0y + a33z + a34t + a35
which matches the form:
x3 = a33z + a34t + a35
where a33 = kX3, a34 = 1, and a35 = X3.
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150 over 25 as a mixed number
Answers
Answer:
6
Step-by-step explanation:
150 goes into 25 evenly so it would not be a mixed number but a whole one
Also 2 multiplied by 25 is 50 so multiply 25 by 4 and you get 100 multiply it by 6 and you would get 150
It would be great if I got some help with this thank you:)
Answers
Answer:
A or c hopes this helps!!
SOLVE PLEASE! (Help)
Answers
Answer:
1. \(\sqrt{218}\)
2. \(\sqrt{89}\)
3. \(2\sqrt{17}\)
Step-by-step explanation:
The formula to find the distance between any two points on a coordinate plane is as follows:
\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
Where (\((x_1,y_1)\)) and (\((x_2,y_2)\)) are the two points one is trying to find the distance between. Substitute the points in and solve for the distance between them for each respective problem.
1.
Points: \((-4, 6),\ \ (3, -7)\)
Substitute into the formula,
\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
\(D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}\)
Simplify,
\(D=\sqrt{((-4)-(3))^2+((6)-(-7))^2}\)
\(D=\sqrt{(-4-3)^2+(6+7)^2}\)
\(D=\sqrt{(-7)^2+(13)^2}\)
\(D=\sqrt{49+169}\)
\(D=\sqrt{218}\)
2.
Points: \((-6, -5)\ \ (2,0)\)
Substitute into the formula,
\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
\(D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}\)
Simplify,
\(D=\sqrt{((-6)-(2))^2+((-5)-(0))^2}\)
\(D=\sqrt{(-6-2)^2+(-5-0)^2}\)
\(D=\sqrt{(-8)^2+(-5)^2}\)
\(D=\sqrt{64+25}\)
\(D=\sqrt{89}\)
3.
Points: \((-1, 4)\ \ (1,-4)\)
Substitute into the formula,
\(D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\)
\(D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}\)
Simplify,
\(D=\sqrt{((-1)-(1))^2+((4)-(-4))^2}\)
\(D=\sqrt{(-1-1)^2+(4+4)^2}\)
\(D=\sqrt{(-2)^2+(8)^2}\)
\(D=\sqrt{4+64}\)
\(D=\sqrt{68}\)
\(D=2\sqrt{17}\)
1 it’s 102 the other ones??
Answers
Step-by-step explanation:
Vertical angles are equal soooo 1 and 3 are equal = 102 degrees
then 1 plus 2 forma straight line = 180 degrees
so 2 = 78 degrees
then vertical angles again, 2 and 4 are equal = 78 degrees
take a strip of paper, put two half twists in it, and glue the ends together. cut it lengthwise along the center core line. what do you get? can you explain why?
Answers
When you take a strip of paper, put two half twists in it, and glue the ends together and then cut it lengthwise along the center core line, it results in two interlocked loops.What you get is two interlocked loops when you cut it lengthwise along the center core line. This occurs because the paper strip has been twisted twice. The twist that was made in the paper strip produces two loops that are intertwined after it is cut down the center line.Paper is quite a flexible substance. When it's twisted, it retains its new shape. Because of this, when you twist a strip of paper, it retains its new form. When the strip is bent and connected to form a loop, the twisted part becomes embedded in the paper's core. This produces two loops that are interconnected. When the loop is sliced down the middle, the two loops remain interconnected since the twists in the strip have become embedded in the core.
PLEAS HELP I think I know the answer but im only 50% sure
x =x=x, equals
^\circ
∘
degrees
Answers
In the given diagram, the value of x is 90°
Calculating anglesFrom the question, we are to determine the value of x
In the given diagram,
Using the linear pair theorem, we can write that
x + 90° = 180°
x = 180° - 90°
x = 90°
Hence, the value of x is 90°
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A store owner gathered data for several days about the methods customers used to pay for their purchases. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash? A.) 68 B.) 79 C.) 92 D.) 104
Answers
Answer:
b.79
Step-by-step explanation:
if you look at the graph it shows its right below 80
The 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
\(\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}\)
We have a line of best fits:
y = 0.755x + 11.339
Plug x = 90
y =0.755(90) + 11.339
y = 67.95 + 11.339
y = 79.28 ≈ 79
Thus, the 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
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Find and classify the critical points of f(x,y)=8r³+ y² + 6xy
Answers
The critical points of the function are (0, 0) and (3/4, -9/4), To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point
To find the critical points of the function f(x, y) = 8x^3 + y^2 + 6xy, we need to find the values of (x, y) where the partial derivatives with respect to x and y are equal to zero.
Taking the partial derivative with respect to x, we have:
∂f/∂x = 24x^2 + 6y = 0.
Taking the partial derivative with respect to y, we have:
∂f/∂y = 2y + 6x = 0.
Solving these two equations simultaneously, we get:
24x^2 + 6y = 0,
2y + 6x = 0.
From the second equation, we can solve for y in terms of x:
Y = -3x.
Substituting this into the first equation:
24x^2 + 6(-3x) = 0,
24x^2 – 18x = 0,
6x(4x – 3) = 0.
Therefore, we have two possibilities for x:
1. x = 0,
2. 4x – 3 = 0, which gives x = ¾.
Substituting these values back into y = -3x, we get the corresponding y-values:
1. x = 0 ⇒ y = 0,
2. x = ¾ ⇒ y = -9/4.
Hence, the critical points of the function are (0, 0) and (3/4, -9/4).
To classify the critical points, we need to examine the second partial derivatives of f(x, y) at each point. However, since the original function does not provide any information about the second partial derivatives, further analysis is required to classify the critical points.
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Suppose that the height of the slide is 2 feet, when x = 20. what is t brainlyhe average rate of change over the entire slide?
Answers
The average rate of change over the entire slide is 0.01 per unit.
A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
Introduction to Slope of a Line | The slope of line is the measure of steepness or the direction of line the coordinate plane.
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
We also refer this tan θ to be the slope of the line
Given,
the height of the slide = 2 feet
the value of x is 20 units
The average rate of change is the slope of the line
Therefore, the rate of change over the entire slide will be,
Rate of change = 2/20 = 0.1 feet per unit
Hence, the rate of change is 0.1 feet per unit.
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For Problems 1,2 and 3 , consider the first-order ODE: x dx
dy
+y(x)=0(1) 1) Show that (1) has an analytical solution of the form y(x)= x
C
(2) 2-a) Use the simple Euler to show that y(x o
+h)=y(x o
)−h x o
y(x o
)
(3) 3-a) Use the implicit Euler method to show that y(x+h)= 1+ x
ℏ
1
y(x) 3-b) Recall that, for a first-order linear DE, we can write y(x+h)=Ay(x) where A is some matrix and, in this case, a 1×1 scalar. Find the value of A for the analytical solution (2) that relates y(x) to y(x+h) and compare this to the A that you found using the implicit Euler method.
Answers
First-order ODE
xdx/dy + y(x) = 0 can be solved by a variety of numerical and analytical techniques.
Here, we are going to use the analytical and Euler methods for solving the given ODE.
1) Analytical solution of the given ODE:y(x) = C/x
Hence, y(x) = x/C where C is a constant.
2-a) Simple Euler Method:y(x + h) = y(x) + h*y'(x)Here, y'(x) = -y(x)/x
Therefore,
y(x + h) = y(x) - h*y(x)/x= (1 - h/x)*y(x)
Therefore,
y(x + h) = y(x) - (h/x)*y(x)
3-a) Implicit Euler Method:Here,
y(x + h) - y(x) = h*f(x + h, y(x + h))
For the given ODE, f(x, y) = -y/x
Hence, y(x + h) - y(x) = -h*y(x + h)/x
Simplifying the above equation, we get:
y(x + h) = [1/(1 + h/x)]*y(x)3-b)
Analyzing the Implicit Euler Method:By comparing the results obtained from simple and implicit Euler methods, we can see that:
For Simple Euler Method:y(x + h) = (1 - h/x)*y(x)
For Implicit Euler Method:y(x + h) = [1/(1 + h/x)]*y(x)
Thus, comparing the above two equations we get:
A = (1 - h/x) and A = 1/(1 + h/x)
For both methods, the value of A is different.
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Solve the equation: only write the number is the box
2( 5x+2)=54
Answers
Answer:
x = 5
Step-by-step explanation:
Step 1:
2 (5x + 2) = 54
Step 2:
10x + 4 = 54
Step 3:
10x = 50
Answer:
x = 5
Hope This Helps :)
Answer:
x = 5
Step-by-step explanation:
2(5x+2)=54 (distribute)
10x+4=54 (subtract the 4 on both sides)
-4 -4
10x = 50 (divide 10 on both sides)
10 10
x = 5
Angie's rotation maps triangle XYZ to triangle X'Y'Z'. X(3,6) maps to X'(-3, 6) Y(1, -2) maps to Y'(-1, 2) Z(-1,-5) maps to Z (1,5) Which describes the rotation? 180° rotation O 270° clockwise rotation 90° counterclockwise rotation 90° clockwise rotation
Answers
Answer:a
Step-by-step explanation:
A
Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is rotated 180° rotation, the new point is at A'(-x, -y).
Triangle XYZ is rotated 180° clockwise to form triangle X'Y'Z'.
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PLEASE ANSWER FAST I NEED THIS! Fire in inches of 10 senior boys are 64, 65, 66, 68, 71, 72, 73, 73, 73, and 74. find the mean of the heights.
Answers
Answer:
632.4
Step-by-step explanation:
You have to add all the numbers then dived it by ten. Hope this helps all mark me brainlest plzzzz
Johnson stock is currently selling for $40. The expected dividend is $2. This is a constant growth firm. If investors require a return of 15% on this stock, determine the growth rate of stock.
Answers
The growth rate of the stock is 2.5%.
The calculation to determine the growth rate of the stock can be done using the Gordon Growth Model formula:
Dividend per share / Required rate of return - A growth rate
Plugging in the given values, we get:
$2 / 0.15 - Growth rate = $40
Solving for the growth rate, we get:
Growth rate = 0.025 or 2.5%
Therefore, the growth rate of the stock is 2.5%.
It is important to note that the Gordon Growth Model assumes that the growth rate is constant indefinitely, which may not always hold true in the real world.
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helpppppp
Which function has a smaller minimum? What is that minimum value?
a.f(x) has the smaller minimum. The minimum is -1.
b.g(x) has the smaller minimum. The minimum is -1.
c.g(x) has the smaller minimum. The minimum is -3.
d.f(x) has the smaller minimum. The minimum is -3.
Answers
Answer:
c. g(x) has the smaller minimum. The minimum is -3.Step-by-step explanation:
Given functions
f(x) = (x - 1)^2 - 1 (graphed)and
g(x) = (x - 1)^2 - 3Comparing the vertex of the functions (the minimum), we see that:
f(x) has a vertex (1, -1)g(x) has a vertex (1, -3)Correct option is c)
If you fit a slope and intercept at the same time, then their errors will be correlated. (A). True (B). False
Answers
True , Their mistakes will be connected if you fit a slope and intercept at the same time. If more than one theory can explain a measurement, then the measurement cannot be used to differentiate between the two hypotheses.
What are theories and an example?
An assertion that reflects the relationship between precisely two variables is known as a simple hypothesis. a dependant and a single independent.
As an illustration, consider the statement "Smoking is a significant cause of lung cancer." Smoking is an independent variable whose effect on lung cancer is dependent.
What is hypotheses, and what are its purposes?
A hypothesis serves as an answer to the research question and directs the gathering and analysis of data, as was previously mentioned.
Using a hypothesis, researchers can predict relationships between variables based on theoretical precepts and/or actual data in addition to discovering relationships between variables.
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I will give brainleist
Answers
Answer:
the independent variable is time and the distance dependent variable is distance.
Step-by-step explanation:The question is asking for the definition of independent and dependent variable. An independent variable is a variable that is manipulated to determine the value of a dependent variable while a dependent variable is the variable that is been measured in an equation. From the given question, the independent variable is time while the distance covered is the dependent variable.
A function g models a relationship in which the dependent variable is multiplied by 9
for every 2 units the independent variable increases. The value of the function at 0 is 2.
Which equation represents g?
Answers
The link represented by function g multiplies the dependent variable by 9 for every increase of 2 units in the independent variable. The equation that represents g is \(g(x)= 2 \times3^x\),and the function has a value of 2 at 0
Let x be the independent variable, and let g(x) be the dependent variable.
According to the problem, for every 2 units the independent variable increases, the dependent variable is multiplied by 9. This suggests an exponential relationship of the form:
\(g(x)= a \times b^x\)
where a is the initial value of the dependent variable (when x=0), and b is the growth factor (how much the dependent variable changes for every unit increase in x).
We are given that g(0) = 2, so we can plug in these values and solve for a:
\(g(0)= a \times b^0\)
a = 2
So now we have:
\(g(x)= 2 \times b^x\)
We still need to find the growth factor b. We are told that the dependent variable is multiplied by 9 for every 2 units the independent variable increases. In other words:
\(g(x+2) = 9 \times g(x)\)
Using our equation for g(x), we can substitute in and simplify:
\(2 \times b(x+2) = 9 \times 2\times b^x\)
Simplifying, we get:
\(b^2\) = 9
Taking the square root of both sides (we take the positive square root since b must be positive in order for g to be an increasing function), we get:
b = 3
So the final equation for g(x) is:
\(g(x) = 2 \times 3^x\)
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the area of a square and square feet is represented by 4z^2 - 36z + 81. Find an expression for the perimeter of the square. Then find the perimeter when z=10 ft
Answers
Solve for v.
V =
Blank 1:
Answers
Answer:
v=60
Step-by-step explanation:
3v=180
v=60
:]
Which is the graph of f(x)=x-1/x2-x-6
Answers
Answer:
answer of this question is A
The answer the middle pic ( top option) where there are three lines.
Find the answer attached.
Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents
Answers
Answer:
i believe its 100*20x
Step-by-step explanation:
please no h8 i tried
If nadia has a gas tank that can hold 14 gallons of gas and she uses a quarter of it say each gallon can go 20 miles how many miles did nadia go
Answers
Answer:
70 miles
Step-by-step explanation:
If Nadia has a gas tank that can hold 14 gallons of gas and she uses a quarter of it, she has used 14 * 0.25 = 3.5 gallons of gas.
Since each gallon of gas can go 20 miles, Nadia has gone
3.5 * 20 = 70 miles
(6,7) m=2/3 in standard form.
Answers
Answer:
b
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP TEACHER NEEDS THIS BY THE END OF THE DAY ITS FOR 20PTS
Jacob studied on 3 different nights during the work week. He also put in an extra 45 minutes during the weekend. If Jacob studied the same amount of time each night during the week and 45 minutes on the weekend, how long did he study s each night during the week?
a. Write a 2-step equation that can be used to solve for the time Jacob studied each night.
Answers
Answer:
I think its 7x+45=3 but im not 100% positive
Answer:
what she said bc i got it right
Step-by-step explanation:
Use the distance formula to find the distance between the points given.(16, -3), (2, -5)
Answers
In general, the formula to calculate the distance between two points on the plane is
\(\begin{gathered} (x_1,y_1),(x_2,y_2) \\ \Rightarrow distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}\)Therefore, in our case,
\(\begin{gathered} (16,-3),(2,-5) \\ \Rightarrow distance=\sqrt{(16-2)^2+(-3+5)^2}=\sqrt{14^2+2^2}=\sqrt{200}=10\sqrt{2}\approx14.142135... \end{gathered}\)The exact value is 10sqrt(2), about 14.142135...Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the undetermined coefficients.
(a). y''+4y=sin2t+(2t+1)cos2t+tsint.
(b). y''-4y'+4y=t^2(e^(2t)-1).
(c). y''+2y'+2y=3e^(-t)+2e(-t)cost+4(t^2)e^(-t)sint.
Please answer all 3 questions rather than just 1 or 2.
Answers
(a) For y''+4y=sin2t+(2t+1)cos2t+tsint, we need to find a particular solution Y(t) using the method of undetermined coefficients.
Since the right-hand side of the equation contains sin(2t), cos(2t), and tsin(t), we can assume that the particular solution has the form:
Y(t) = A sin(2t) + B cos(2t) + Ct sin(t) + Dt cos(t) + Et + F
where A, B, C, D, E, and F are undetermined coefficients to be determined.
(b) For y''-4y'+4y=t^2(e^(2t)-1), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains t^2e^(2t) and t^2, we can assume that the particular solution has the form:
Y(t) = (At^2 + Bt + C)e^(2t) + Dt^2 + Et + F
where A, B, C, D, E, and F are undetermined coefficients to be determined.
(c) For y''+2y'+2y=3e^(-t)+2e(-t)cos(t)+4(t^2)e^(-t)sin(t), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains e^(-t), e^(-t)cos(t), and t^2e^(-t)sin(t), we can assume that the particular solution has the form:
Y(t) = Ae^(-t) + (Bt + C)e^(-t)cos(t) + (Dt + Et^2) e^(-t)sin(t) + F
where A, B, C, D, E, and F are undetermined coefficients to be determined.
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Gilbert's weekly pay in dollars, D. can be represented by the function D = 13.5h, where h represents the number of hours he works during a week.
Crystal's weekly pay can also be represented by a linear function. Her weekly pay in dollars, D. for four different numbers of hours, h is given below.
Answers
Given:D = 13.5h; Crystal's weekly pay can also be represented by a linear function.D for 4 different numbers of hours:| h | D | | 12 | 110 | | 14 | 128 | | 16 | 146 | | 18 | 164 |.
The problem tells us that Crystal's weekly pay can also be represented by a linear function, so we know that the formula for a linear function is y = mx + b, where m is the slope and b is the y-intercept. To find this function, we need to find the values of m and b.We can use any two of the given (h,D) pairs to find m and b. Let's use the first and last pairs:Using the first and last pairs:For the first pair, h = 12 and D = 110. Plugging these values into the equation, we get:110 = 12m + bSimplifying, we get:12m + b = 110For the last pair, h = 18 and D = 164.
Plugging these values into the equation, we get:164 = 18m + bSimplifying, we get:18m + b = 164Now we have two equations with two variables, which we can solve by elimination:12m + b = 11018m + b = 164Subtracting the first equation from the second, we get:6m = 54Dividing both sides by 6, we get:m = 9Now that we know m, we can plug it into either of the original equations to find b. Let's use the first equation:12m + b = 11012(9) + b = 110Simplifying, we get:b = 2Now we have the slope and y-intercept, so we can write the function:y = mx + by = 9h + 2To summarize, Crystal's weekly pay can be represented by the linear function:y = 9h + 2.
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