5:9 is degrees Celsius and the second element is its equivalent in degrees Fahrenheit.
What does a temperature in Fahrenheit mean?
Water freezes at 32 degrees Fahrenheit and boils at 212 degrees Fahrenheit on the Fahrenheit scale, which is used to measure temperature. It is denoted by the °F sign. The temperature had risen to 100 degrees Fahrenheit by mid-morning.F = (9/5)C+32
F = C x 9/5 + 32
C = (F - 32) x 5/9
The above equations could easily be derived by the following relationships:
Freezing Point = 0C or 32F and Boiling Point = 100C or 212F
Range from freezing point to boiling point = 100C or 180F,
i.e. C : F = 100:180 = 5:9
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How many numbers from 1 through 400 have a 2 in the units place (ones place) and are divisible by 4?
Answer:
2 6 9 7 4 7 66 46 66 74 89 84 653 88
need help with this question x+12=2x-15
Answer: x=+27
Step-by-step explanation:
[tex]\huge\qquad\underline{{\tt answer : - }} [/tex]
[tex]x+12=2x-15 \\ x - 2x = - 12 - 15 \\ - x = - 27 \\ x = 27[/tex]
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What is the product of 6 and 13.5
Answer:
81
Step-by-step explanation:
6 multiplied by 13.5 gives the answer 81.
Answer: 81
Step-by-step explanation:
[tex]13.5*6=\\\\13.5*2*3=\\\\27*3=\\\\81[/tex]
-10.4 + 8a = -20 + 5a
-5a+8a=-20+10.4
-3a=-10.4a
Find the percent increase or decrease from 200 to 460.
57% increase
130% decrease
57% decrease
130% increase
The percent increase from 200 to 460 is 130% increase
How to find the percent increase or decrease?The numbers are given as
200 and 460.
460 is greater than 200
So, the percentage is an increment
The percentage increment is then calculated as
Percentage = (Final value - Initial value)/Initial value * 100%
Substitute the known values in the above equation
Percentage = (460 - 200)/200 * 100%
Evaluate the difference
So, we have
Percentage = 260/200 * 100%
Evaluate the quotient
So, we have
Percentage = 1.3 * 100%
Evaluate the product
So, we have
Percentage = 130%
Hence, the percent increase from 200 to 460 is 130% increase
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A line y=mx+b is translated using the vector . Write the equation of the translated line. What is the value of the y -intercept?
The found value are-
Equation of the translated line: y = mx − am + 2b.The value of the y -intercept: 2b − am.What is general form of straight line?A straight line's general equation is y = mx + c, in which m is the gradient and y = c is the value at which the line intersects the y-axis. This number c is known as the y-axis intercept.
Now, as per the given question;
The general equation of the line is given as;
y = mx + b
Each point (x,y) of the line is moved to the point (x+a, y+b) by the translation:
(x,y) ---> (x+a, y+b)
We find the original line's x and y intercepts:
Put y=0 in general equation of the line
⇒mx+b = 0
⇒x = −b/m
When, x=0
⇒y = m⋅0 + b
⇒ y = b
A, (0,b) and B( -b/m, 0)
We find the translational coordinates of the points A,B:
A(0,b) ---> A′ (0+a,b+b)
A(0,b) ---> A′ (a,2b)
And,
B( -b/m, 0) ----> B'( -b/m + a, 0 + b)
B( -b/m, 0) ----> B'( -b/m + a, b)
To find the equation of the line's translation, we use the points A and B ′:
m' = (2b - b)/[a - (-b/m +a)]
m' = b/(b/m)
m' =m
And,
y−yA' = m' (x−xA')
y−2b=m(x−a)
y=mx−am+2b
The translation of the line's x and y intercepts are:
Put x=0
⇒y = m⋅0−am+2b
⇒y = 2b−am
And, put y=0
⇒0 = mx−am+2b
⇒x = a - (2b/m)
Therefore, the equation of the translate line is found to be y = mx − am + 2b.
And, the value of the y-intercept is found to be 2b−am.
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solve 3/5w-1/5w+10=4
3/5w - 1/5w +10 = 4
First, simplify 3/5w - 1/5w
2/5w + 10 = 4
Then, subtract each side by 10
2/5w = -6
Multiply each side by the denominator
2w = -30
Then divide each side by 2
w = -15
Given the number n as input, print the first n odd numbers starting from 1. for example if the input is 4 the output will be: 1 3 5 7
Pseudocode algorithms are used as prototypes of an actual program.
The required pseudocode algorithm is as follows:
1. Start
2. Input n
3. Odd = 1
4. For i in range(n):
4.1 Print Odd 4.2 Odd = Odd + 2
How to write the pseudocode that prints the first n odd numbers starting from 1?The pseudocode that prints the first n odd numbers starting from 1 is as follows:
1. Start
2. Input n
3. Odd = 1
4. For i in range(n):
4.1 Print Odd 4.2 Odd = Odd + 2
The above pseudocodes would print the first n odd numbers starting from 1, given that n is the input
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Given a focal length of a mirror and an object distance, you determine that s' < 0. from this you can conclude that:_________
The image seen in the compact mirror is not of the same size as seen in the plane mirror. This compact mirror is concave on one side and convex on the other side.
The size of the image as compared to the object is related to the magnification. The size of an object’s image is larger (or smaller) than the object itself by its magnification, The level of magnification is proportional to the ratio of and An image that appears to be double the size of the actual object would have magnification
The radius of curvature of a mirror is twice its focal length.
All distances measured to the right of the origin (along the positive x-axis) are taken as positive while those measured to the left of the origin (along the negative x-axis) are taken as negative.
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in the figure below helppp
A number, n, is 9.27 when rounded to 2 decimal places.
Complete the inequality to show the lower and upper bounds of n.
9.27 rounded to 2 decimal places is 9.27
The important thing to remember is that you should round 9.270 to two digits or places after the decimal point. As a result, we wish to do rid of the final digit in 9.270. We utilize the following Two Decimal Places Rules to find the answer by removing the final digit in 9.270:
Rule #1 for two decimal places: If the final digit in 9.27 is less than 5, it should be removed.
Two Decimal Places Rule #2: If the second-to-last digit in 9.27 is less than 9 and the previous digit is 5 or greater, the last digit must be removed and one added to the second-to-last digit.
Three Decimal Places Rule #3: If the final digit in a number, such as 9.27, is five or more, the second to last digit is nine, and the third to last digit is less than nine, the last digit is eliminated, the second to last digit is changed to zero, and the third to last digit is increased by one.
Fourth Rule of Two Decimal Places: Add 1 to the value on the left side of the decimal point and change the right side of the decimal point to 00 if the final digit in 9.270 is 5 or more, the next-to-last digit is 9, and the next-to-last digit is 9.
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what is the inverse of the function y=5x+30?
The inverse of the function is y = ( 1/5 )x - 6.
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Consider the function,
y = 5x + 30
To find the inverse of the function we interchange x and y then find the equation for y.
Therefore, after interchanging x and y:
x = 5y + 30
Subtracting 30 from each side of the equation.
x - 30 = 5y + 30 - 30
x - 30 = 5y
Now, dividing the whole equation by 5
( x - 30 ) / 5 = 5y / 5
y = ( 1/5 )x - 30/ 5
y = ( 1/5 )x - 6
Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.
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Luna has consumed 900 calories so far today. She has also burned 500 calories in dance class. She wants to keep her daily calorie total to 1,500 calories per day. How many calories does she have left to consume for the day? Is 1,200 a viable solution to this problem?
No; 1,200 is more than the 500 she burned dancing.
No; 1,200 will cause her to exceed 1,500.
Yes; 1,200 is less than 1,500.
Yes; 1,100 is less than 1,500.
Luna already had,
→ consumed 900 cal
→ burned 500 cal
She wants to keep her daily calorie,
→ 1,500 cal/day
Calories she have left to consume,
→ 1500 - (900 - 500)
→ 1500 - 400
→ 1100 cal
Therefore, 1,200 cal will cause her to exceed 1,500 cal/day.
Which list shows the students in order from the student with the shortest plant to the student with the tallest plant
Answer: B
Step-by-step explanation:
Find the slope and y -intercept of each line.. -(1/3)x - (2/3)y = 5/3
The slope is (-1/2) an y -intercept is (-5/2) in the line -(1/3)x - (2/3)y = 5/3
What is a slope of line?A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.
The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.
Therefore,
m = y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.
Be aware that tan ∅ = y/x
We also refer to this tan as the line's slope.
We know that the equation for slope(m) and y - intercept(c) of a line is given by :
y = mx + c
Here the equation is -(1/3)x - (2/3)y = 5/3
⇒ -(1/3)x - (2/3)y = 5/3
⇒ - (2/3)y = (1/3)x + 5/3
⇒ [tex]\frac{-2y}{3}[/tex] = [tex]\frac{x + 5}{3}[/tex]
⇒ -2y = x + 5
⇒ y = [tex]\frac{x + 5}{-2}[/tex]
⇒ y = [tex]\frac{-1}{2}x -\frac{5}{2}[/tex]
Hence, slope is (-1/2) and y - intercept is (-5/2)
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The equation 2x-20/3
= 2x models temperature change, where x represents the difference in degrees in the last 24 hours. Solve for x.
3
The solution to the equation (2x - 20)/3 = 2x of temperature change gives x = -5.
What is defined as the temperature change?Temperature change - a change in the degree of hotness of the a body (or medium). Advection is the horizontal transmission of heat or even other atmospheric properties in meteorology.Temperature change definitions. a procedure for changing the degree of heat of a body (as well as medium).The given equation is;
(2x - 20)/3 = 2x
Simplify the equation;
2x - 20 = 6x
Bring variables together;
6x - 2x = -20
4x = -20
Divide by 4
x = -5
Therefore, the solution to the equation (2x - 20)/3 = 2x of temperature change gives x = -5.
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In ΔIJK, j = 960 inches, i = 200 inches and ∠I=68°. Find all possible values of ∠J, to the nearest degree.
According to the question, the given parameters of a triangle Δ IJK is given below:
j = 960 inches, i = 200 inches and ∠I = 68 degree.
As we know, the sum of the angle of a triangle is 180 degree.
Therefore, ∠I + ∠J + ∠K = 180 degree
Substituting above values in the given expression, we get:
∠J + ∠K = 180 - 68 = 112 degree
For isosceles triangle, two sides are equal. Therefore, ∠J = 56 degree
Hence, the calculated value for the ∠J is 56 degree.
What is triangle?
In the geometry of mathematics, the triangle can be defined as a polygon shape which has three edges as well as three vertices. There are three different forms of triangle which are known as scalene, isosceles and equilateral triangle.
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WILL GIVE BRAINLIEST
TYY !
Using integer numbers, we have that:
1. The integer -5 would represent traveling west at -5 miles per hour, while the integer 5 would represent traveling east at 5 miles per hour.
2. The positions are given as follows:
Lin: 25 meters.Diego: -20 meters.Elena: 4.575 meters.Noah: -9.144 meters.What are integer numbers?Integer number are numbers that can have either positive or negative signal, but are whole numbers, meaning that they have no decimal part.
For the number line, we have that:
Points east of the origin are positive.Points west of the origin are negative.Hence, for item 1, we have that:
The integer -5 would represent traveling west at -5 miles per hour, while the integer 5 would represent traveling east at 5 miles per hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.
Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.
For item b, to find the distance, we apply the proportion, multiplying the velocity by 5, hence the positions would be given by:
Lin: 25 meters.Diego: -20 meters.Elena: 4.575 meters. (15 feet, each ft = 0.3048 m, hence we apply two proportions here).Noah: -9.144 meters.More can be learned about integer numbers at brainly.com/question/17695139
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Which can of Spaghettios is the better deal?
26.25 oz because it costs $.066 per ounce.
14.75 oz because it costs $.066 per ounce.
3. Find the value of the variables for which the shape must be a parallelogram.
please help
Answer:
x = 2
y = 17
Step-by-step explanation:
Rule that applies to this question: Opposite sides of a parallelogram are equal.
Therefore:
x+2 = 4
x = 4 - 2
x = 2
y-5 = 12
y = 12 + 5
y = 17
Which is an equivalent expression for (3^2 • 5^4)^3?
3^2 • 5^12
3^5 • 5^7
3^6 • 5^12
15^18
Hey there!
(3^2 * 5^4)^3
= (3 * 3 * 5 * 5 * 5 * 5)^3
= (9 * 25 * 25)^3
= (9 * 625)^3
= (5,625)^3
= 5,625 * 5,625 * 5,625
= 31,640,625 * 5,625
= 177,978,515,625
= 3^6 * 5^12
Therefore, your answer should be:
Option C. 3^6 * 5^12
Good luck on your assignment & enjoy your day!
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A truck can be rented from Company A for $110 a day plus $0.20 per mile. Company B charges $70 a day plus $0.40 per mile to rent the same truck. Find the
number of miles in a day at which the rental costs for Company A and Company B are the same.
The number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.
We are given that:
For Company A:
Fixed cost = $ 110
Variable cost = $ 0.20 per mile
For Company B:
Fixed cost = $ 70
Variables cost = $ 0.40 per mile
Let the number of miles in a day be x.
So, the equation for rental cost for company A will be:
Rental cost = 110 + 0.20 x
The equation for rental cost for company B will be:
rental cost = 70 + 0.40 x
Now, put both rental cost equal.
110 + 0.20 x = 70 + 0.40 x
0.40 x - 0.20 x = 110 - 70
0.20 x = 40
x = 40 / 0.20
x = 200 miles.
Therefore, the number of miles in a day at which the rental costs for Company A and Company B are the same will be 200 miles.
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Given f(x)= 5(3−x), what is the value of f(−2)?
Sarah has two bags, each
containing x counters and
another bag containing y
counters.
Write an expression for the
number of counters Sarah has.
Answer:
2x+y
Step-by-step explanation:
They have 2 bags containing "x" counters and 1 containing "y" counters. So 2 multiply the number of x since there are 2 bags + y because y also contains counters we need to add. (I'm pretty sure)
Determine whether the statement is always, sometimes, or never true. Explain you reasoning.
Lines p and q intersect in points M and N .
A line segment is also a line but a line with finite length and fixed endpoints. The given statement "Lines p and q intersect in points M and N" can never be true.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and fixed endpoints.
The given statement "Lines p and q intersect in points M and N" will never be true, this is because two straight lines can only bisect once, therefore, at only a single point.
Although, the line may also bisect each other at infinite points but only if the line overlap with one another.
Since it is given that bisect each other at two points M and N.
Hence, The given statement "Lines p and q intersect in points M and N" can never be true.
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z = x+m+y, solve for x
u = bak, solve for a
Match the polynomial on the left with the corresponding polynomial on the right.
Add: (-4x²-3x+6) + (6x² - 2x + 1)
Find the opposite of: 2x² + x-7
Subtract: (-4x²+2x-1)-(-2x² + 3x+6)
-2x²-x-7
-2x²-x+7
-2x² - 5x+7
2x²-x+7
2x²-5x+7
(-4x2-3x+6) + (6x2 - 2x + 1) = 2x2-5x + 7, the opposite of 2x2 + x-7 is -2x2 - X+ 7 and (-4x2+2x-1) - (-2x2 + 3x+6) = -2x-x - 7
1. (-4x2-3x+6) + (6x2 - 2x + 1)
= -4x2+ 6x2- 3x- 2x + 1+ 6
= 2x2- 5x + 7
Thus, adding gives us 2x2- 5x + 7 and thus (-4x2-3x+6) + (6x2 - 2x + 1) will be matched with the 5th equation.
2. opposite of: 2x2 + x-7
The opposite of 2x2 + x-7 can be found if we just reverse the signs of each of the term. This means that + becomes - and - becomes -
Thus the opposite is: -2x2 - X+ 7
Thus, it will be matched with the second option.
3. (-4x2+2x-1) - (-2x2 + 3x+6)
= -4x2+2x-1 + 2x2 - 3x - 6
= -4x2+ 2x2 +2x - 3x - 6-1 = -2x-x - 7
Thus, this equation will be matched with the 1st option.
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A rental car company charges $37.93 per day to rent a car and $0.11 for every mile driven. Taylor wants to rent a car, knowing that:
She plans to drive 50 miles.
She has at most $300 to spend.
Which inequality can be used to determine dd, the maximum number of days Taylor can afford to rent for while staying within her budget?
5.5d + 37.93 ≥ 300
5.5 + 37.93d ≤300
5.5 + 37.93d ≥ 300
5.5d + 37.93 ≤ 300
The inequality [tex]5.5+37.93d\leq300[/tex] should be used to calculate the number of days.
What is an inequality?
The relationship between two non-equal expressions, denoted by a symbol such as 'not equal to, 'greater than' or 'less than' is known as inequality.
She drives 50 miles and per mile it costs $0.11.
So, for 50 miles, cost = 50 x $0.11 = $5.5
and per day cost = $37.93
Thus, the inequality that must be used to calculate number of days is
[tex]5.5+37.93d\leq300[/tex]
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The time needed to roast a chicken depends on its weight. Allow at least 20 min/lb for a chicken weighing as much as 6 lb . Allow at least 15 min/lb for a chicken weighing more than 6 lb .
a. Write two inequalities to represent the time needed to roast a chicken.
The two inequalities are:
y = 20x when x ≤ 6 and y = 15x when x > 6
The scenario given here is of a chicken that is being roasted. To solve this problem, we will take y as the time required to roast the chicken and x as the lbs of the chicken. (weight)
Now two different conditions are applied depending upon the lbs of the chicken the taken to roast the chicken will vary,
20min/lb for a chicken weighs as much as 6lb.
y = 20x when x ≤ 6
15 min/lb for a chicken weighs more than 6lb.
y = 15x when x > 6
The above two equations are the two inequalities that represent time needed to roast both the chicken.
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What is the slope of the line that contains the points R(-2,1) and S(10,6)? Express your answer as a fraction.
The slope of the line that contains the given points R(-2,1) and, S(10,6) is 5/12 .
It is given in the question that the line contains the points R(-2,1) and S(10,6).
We know that:-
The formula to find the slope of a line that contains points (a,b) and (c,d) is given by:-
m = (d-b)/(c-a)
Here, we have
m = slope of the line
(a,b) = (-2,1)
(c,d) = (10,6)
Hence, putting the values of (a,b) and (c,d) , we get
Slope of the line that contains the given points R(-2,1) and, S(10,6) is given by:-
(6-1)/(10-(-2)) = 5/12=
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