The Celsius scale is devised so that 0° C is the freezing point of water (at 1 atmosphere of pressure) and 100°C is the boiling point of water (at 1 atmosphere of pressure). If you are more familiar with the Fahrenheit scale, then you know that water freezes at 32°F and boils at 212° F. The linear equation that relates temperature r measured in degrees Celsius and temperature y measured in degrees Fahrenheit is
Answer:
[tex]r=\frac{5}{9}(y-32)[/tex]
Step-by-step explanation:
The Celsius scale was developed by Swedish astronomer Andres Celsius in 1742. It is used to measure temperature in degree Celsius in which 0 degrees represents the freezing point of water, and 100 degrees represents boiling point of water at the standard atmosphere.
The Fahrenheit scale was proposed in 1724 by the physicist Daniel Gabriel Fahrenheit. It is used to measure temperature in degree Fahrenheit in which 32°F represents the freezing point of water, and 212°F represents boiling point of water at the standard atmosphere.
Let r represent the temperature in degrees Celsius and y represent the temperature in degree Fahrenheit. The relationship between r and y is:
[tex]\frac{r-freezing\ point(^oC)}{boiling\ point\ (^oC)-freezing\ point(^oC)} =\frac{y-freezing\ point(^oF)}{boiling\ point\ (^oF)-freezing\ point(^oF)} \\\\Substituting:\\\\\frac{r-0}{100-0}=\frac{y-32}{212-32}\\\\\frac{r}{100} =\frac{y-32}{180}\\\\r= \frac{y-32}{180}*100\\\\r=\frac{5}{9}(y-32)[/tex]
What is the exponential form of log5 15,625 = 6?
Answer:
I'm currently having the same lesson.
Exponential form:
5⁶ = 15,625
The number next to the "log" symbol is the base, which is positioned down. Next to the base of the exponent is the result of the exponent.
The number after the equal sign is the exponent.
Check the image for better clarification.
Step-by-step explanation:
Answer: [tex]5^{6} =15625[/tex]
Step-by-step explanation:
4x – 3y = 18
Determine the missing coordinate in the ordered pair (5, ?) so that it will satisfy the given equation.
Answer:
Step-by-step explanation:
when x=5, 4(5)-3y=18
3y=2
y=2/3
The coordinate would be(5,2/3)
Q1.
Write 1.74 x 10^-4 as an ordinary number?
Q2.
Write 358.41 x 10^5 in a standard form
Q3.
Write 4 670 000 in a standard form
Answer:
0.000174
3.5841 x 10^7
4.67 x 10^6
Step-by-step explanation:
1.74 x 10^-4 as an ordinary number
As an ordinary number, the decimal point will be moved 4 times to the left due to the negative power
Hence 1.74 x 10^-4 as an ordinary number
= 0.000174
358.41 x 10^5 in a standard form
In standard form, only one number will be before the decimal point, the number of times the decimal point is moved (to ensure that only the first digit is before the point) is added to the power of ten. Hence
358.41 x 10^5 in a standard form
= 3.5841 x 10^5+2
= 3.5841 x 10^7
4 670 000 in a standard form
As done above, only one digit will be before the decimal
4 670 000 in a standard form
= 4.67 x 10^6
230 calories in a 48 g packet ñ how many calories in a9.6g bag
Answer:
46
Step-by-step explanation:
230 divided by 5
What is the solution to this system of equations?
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
The Sanchez family is planning a trip to an amusement
park. The park has two ticket plans.
Plan A offers a weekend pass for $12 plus $0.50 per ride.
Plan B is $1.25 for each ride.
Let x represent the number of rides each person will ride
and y represent the cost per person, in dollars. Which of
these systems of equations could be used to choose a ticket plan?
A. y=0.50x +12
y=1.25x
B. y=12x +0.50
y=x +1.25
C. y=0.50x
y=1.25x
D. y= x +12
y= x +1.25
how many 2/3 quarts portions are in 7 1/3 quarts of soup ?
Answer:
11 1/4
Step-by-step explanation:
ANSWER= 11 1/4 is your answer
Step-by-step explanation:
I need help please.
Answer:
A because there isnt a mode, hope this helps\
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
there was 5/8 of a pie left on the fridge Daniel ate 1/4 of the leftover .how much of a pie did he have?
Answer:
3/8
Step-by-step explanation:
Your need to change the 1/4 to eighths
so multiply it by 2
1/4 x 2/2
which equals 2/8
then you need to subtract it from the 5/8
5/8 - 2/8 = 3/8
2x + 3y =5
4x - y = 3
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 421 gram setting. It is believed that the machine is underfilling the bags. A 21 bag sample had a mean of 416 grams with a standard deviation of 29. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.
Answer:
Zstatistic < Zcritical ; then we reject the null
-0. 790 > - 1.96
Hence, we fail to reject the Null
Step-by-step explanation:
Define the null and alternative hypothesis :
H0 : μ = 421
H1 : μ < 421
Given that :
Sample mean (x) = 416
Sample standard deviation, s = 29
α = 0.025
Sample size, n = 21
This is a lef tailed teast, hence if ;
Decision Rule :
Zstatistic < Zcritical ; then we reject the null
Zcritical at α = 0.025 (1 tailed) = - 1.96
Zstatistic = (x - μ) s/sqrt(n)
(416 - 421) / 29/sqrt(21)
Zstatistic = - 5 / 6.3283188
Zstatistic = - 5 / 6.3283188 = - 0.79
-0. 79 > - 1.96
Hence, we fail to reject the Null
Translate the following
Half a number decrease by twelve
Hi!
So, to "half" a number, you multiply it by 1/2 or 0.5
"A number" is a number which we don't know the value of, so we could use a variable. Any letter you want is fine, but let's use x
"Decrease by 12" This simply means to subtract 12, so - 12
So, now we have:
1/2x - 12
Describe how to plot the point (-1, -2)
Where do you start? How many units do you go to the left or right? How many units it’s do you go up or down?
The coordinates below are the three vertices of a rectangle. Identify the fourth
coordinate and the area of the rectangle.
(4 points
O 07.21.45 units squared
O 12.7).45 units squared
O 07.21.28 units squared
O 12.7). 28 units squared
Answer:
(7,2)
45 units squared
Step-by-step explanation:
In order for the shape to be a rectangle the last vertex (lets call it D) must be the same vertical distance from C as A is from B (DC=AB), and the same horizontal distance from A as B is from C (AD=BC).
AB=DC=5
-3+5=2
BC=AD=9
-2+9=7
Therefore D is (7,2)
We already know the side lengths (5 and 9). Area is length by width. Therefore area = 5x9=45
A cocktail nut mix should have the following minimum requirements in a can of 1 pound being sold at $3.99 a can at retail stores. The following information is given: Nut Type Minimum Amt Maximum Amt Cost per pound Almond 10% 100% $2.75 Peanut 0% 50% $0.55 Walnut 20% 100% $1.70 Cashew 0% 40% $1.20 The can costs $0.10. Find the proportion of these nuts by weight to maximize the profit of the nut manufacturer. Use those proportions to select the answer closest to the profit that can be made per can if it is sold to the retail store at $3.00 a can. Group of answer choices $1.65 $1.35 $2.76 $1.77
Answer:
Nut
Step-by-step explanation:
what is 12.8 rounded to the nearest hundred
Answer:
13 will the answer of this qn
Help me !!!
!!
!!
!!
Answer:
They would weigh 47.5 pounds on the moon or if you want to use kilograms it would be 21.5 kilograms.
Step-by-step explanation:
Pound way If you want to find the answer in pounds you first want to add 175 and 110 to get 285. Next you divide it by 6 because you want to find 1/6 of it and you should get 47.5 pounds.
Kilogram way If you want to find the answer in kilograms you would first add 79 and 50 to get 129. After you find that, you would divide it by 6 because you want to find 1/6 of it. You should get 21.5 so 21.5 kilograms would be your answer.
I apologize if I made any mistakes.
. In a study, a radiologist correctly identifies 80 cases that contain a lesion (abnormality) and falsely diagnoses 10 cases as normal when they are not. In addition, he incorrectly diagnoses 15 cases as abnormal. However, he correctly identifies 165 normal cases. Calculate the diagnostic sensitivity and specificity.
Answer:
The sensitivity rate of the test is 88%. For its part, the specificity rate of the test is 91%.
Step-by-step explanation:
The sensitivity of a medical test is its ability to detect positive cases of the disease, while the specificity of the test is its ability to detect negative cases.
In total, there are 270 cases:
-80 positives
-10 false negatives
-15 false positives
-165 negatives
Thus, to calculate both concepts, the following calculations must be performed:
Sensitivity = positives / (positives + false negatives)
X = 80 / (80 + 10)
X = 80/90
X = 0.88
Thus, the sensitivity rate of the test is 88%.
Specificity = negatives / (negatives + false positives)
X = 165 / (165 + 15)
X = 165/180
X = 0.91
For its part, the specificity rate of the test is 91%.
Find the size of angle XYZ
Answer:
66.4°
Step-by-step explanation:
From the question given above, the following data were obtained:
Adjacent = 6 cm
Hypothenus = 15 cm
Angle Y =?
Angle Y can be obtained by using the cosine ratio as illustrated below:
Cos Y = Adjacent / Hypothenus
Cos Y = 6/15
Cos Y = 0.4
Take the inverse of Cos
Y = Cos¯¹ 0.4
Y = 66.4°
Therefore, angle XYZ is 66.4°
HELP!!! LOTS OF POINTS
A bakery did a survey among 100 customers to find their food preference . The customers were asked about their preferences for cupcakes or brownies. Out of the total 72 people who liked cupcakes, 37 also liked brownies. There were 59 people who liked brownies.
Part A. Summarize the data by writing the values that the letters A to I in the table below represents
PART B. What percentage of the survey respondents did not like cupcakes or brownies ?
PART C . Do the survey results reveal a greater dislike for brownies or cupcakes? Justify your answer
(I added a picture down below)
Answer:
Answer:
put 37, 22,59,35,6,41,72,28,100 in chart < That is for the ppl who cant click on the brainly site but it still shows alitttle
For the ppl who can click on brainly:
Part A:
Like Cupcakes
Do Not Like Cupcakes
Total
Like Brownies
37
22
59
Do Not Like Brownies
35
6
41
Total
72
28
100
Part b: 6
Part c: You really have to figure out how to word this 37- 72=35 35-41=6
hope it helps
Eva earned the following test scores in science: 82, 100, 96, 90, 91 Ms. Wade entered the next score as 0 because Eva was absent on test day and hadn’t had a chance to make up the test. Which statements are true based on the data? Check all that apply. After adding the 0 test score, the mean would be the most appropriate measure of center to describe the data. After adding the 0 test score, the mean would be affected. After adding the 0 test score, the median would be the most appropriate measure of center to describe the data. Before the missed test, Eva’s median score was 96. Before the missed test, Eva’s median score was 91. Before the missed test, Eva’s mean score was 91.8.
Answer:
2,3,5,6
Step-by-step explanation:
Answer:
2,3,5,6 just did test and im from future edge 2023
Step-by-step explanation:
On a hot summer day in the state of Washington while kayaking, I saw several swimmers jump from a railroad bridge into the Snohomish River below. The swimmers stepped off the bridge, and I estimated that they hit the water 1.5 s later. (a) How high was the bridge
Answer: the bridge is 11.025 m high
Step-by-step explanation:
Given that;
Time taken to hit the water t = 1.5 sec
height of bridge = ?
lets take a look at the equation of motion;
y(t) = y₀ + (1/2)at²
with initial velocity zero and we know that acceleration due to gravidity is 9.8m/s
we substitute
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(t) = (1/2)gt² = (1/2) × 9.8 × (1.5)²
y(1.5) = 11.025 m
Therefore, the bridge is 11.025 m high
6 more than a quotient of nine and a number p
Answer:
9/p+6
Step-by-step explanation:
Is this acute obtuse or no triangle
Answer:
Acute
Step-by-step explanation: Acute because it is less than a 50 degree angle and under that is considered an acute angle.
Please include step by step explanation bc I've been having trouble with this
Out of the 4,233 visitors at an art exhibition, 1,509 were men, 1,866 were women, and the rest were children. How many more adults than children went to the exhibition?
Answer:
2517
Step-by-step explanation:
1,509 were men, 1,866 were women 1,509 + 1,866 = 3,375
3,375 were adults, 4,233 total people 4,233 - 3,375 = 858
858 were children, 3,375 - 858 = 2517
A boat has a top speed of 26 knots and a displacement of approximately 96000 tons. Express the top speed in miles per hour and the displacement in metric tonnes.
Answer:
29.92 miles per hour
87,089.76 metric tonnes
Step-by-step explanation:
Given that the top speed is 26 knots, recall that
1 knot = 1.15078 miles per hour
Hence,
26 knots = 26 * 1.15078
= 29.92028 miles per hour
To 2 decimal places
=29.92 miles per hour
Given that the boat has a displacement of approximately 96000 tons, in metric tonnes...
Recall that
1 ton = 0.907185 metric tonnes
As such,
96000 tons = 0.907185 * 96000
= 87,089.76 metric tonnes
Question Help
Mia has 28 stamps. Alex has 49 stamps, and Michael has 77 stamps. Use the GCF and the
Distributive Property to find the total number of stamps Mia, Alex, and Michael have.
Write each number as a product using the GCF as a factor, and apply the Distributive Property
28 +49 +77 = 0
(Use the operation symbols in the math palette as needed. Do not simplity)
3
More
Enter your answer in the answer box and then click Check Answer
Clear Al
C
1
remaining
Answer:
a. Using the GCF and the Distributive Property to find the total number of stamps Mia, Alex, and Michael have:
28 + 49 + 77 = 154
= 7*4 + 7*7 + 7*11
= 7 (4 + 7 + 11)
= 7 (22)
= 154
Step-by-step explanation:
a) Data and Calculations:
Number of stamps that Mia has = 28
Number of stamps that Alex has = 49
Number of stamps that Michael has = 77
GCF = 7
b) GCF = Greatest common factor. The distributive property shows that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products. The knowledge of GCF and the distributive property helps to change expressions from standard forms to factored forms.