Answers
F = 1.8C + 32
The temperature C is given as -20
So, all you have to do is plug the given C temperature in the formula to get the corresponding F temperature as follows:
F = 1.8(-20) + 32 = -36 + 32 = -4 degrees Fahrenheit
Related Questions
30 POINTS: Dalton's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 200 sodas in all, 20% of which were regular. How many regular sodas did the diner serve?
Answers
1%=2
20%=40
Dalton's Diner served 40 regular sodas.
Hope this helps! :)
Peter is a painter, and he wonders if he would have time to catch a paint bucket dropped from his ladder before it hits the ground. He drops a bucket from the top of his 9-foot ladder. The height, h, of the bucket can be represented by the equation, h= -16t^2 + 9, where the height is measured in feet from the ground, and the time since the bucket was dropped, t, is measured in seconds. After how many seconds does the bucket hit the ground? Do you think he could catch the bucket before it hits the ground.
Answers
The paint bucket dropped from the 9-foot ladder would hit the ground in approximately 0.75 seconds, according to the equation given for free fall. Given this quick time frame, it might be difficult for Peter to catch the bucket before it hits the ground.
Explanation:The situation described involves a physical phenomenon known as free fall, under the influence of gravity. In the case of the paint bucket, when it is dropped from the top of the ladder, the height h of the bucket from the ground at any time t is given by the equation h = -16t^2 + 9. The bucket hits the ground when h = 0.
To find when the bucket hits the ground, we solve the equation -16t^2 + 9 = 0 for t. Using the quadratic formula, we find the roots to be t = -0.75s and t = 0.75s. Since time cannot be negative in this situation, we discard the negative root. Thus, the bucket hits the ground after 0.75 seconds.
As to whether Peter could catch the bucket before it hits the ground, it does depend on his reflexes and agility, but generally it may be difficult to react and move quickly enough within such a brief time frame.
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If I Row my canoe at 5 mph and I travel upstream at 3 mph, how fast will I be traveling downstream if I am rowing at the same rate ?
Answers
keep in mind that, going against the current, the current's speed erodes speed from your regular speed, whilst if you're going with the current, the current's speed adds to it.
now, in this case, you row 5mph, going upstream you're only doing 3mph, whatever happened to the other 2mph? well, the current speed eroded them, meaning the speed of the river is 2mph.
now, going downstream with the current, your regular speed is 5mph, and the current is 2mph, since the current adds to yours, then you're going 5 + 2, mph.
Hannah wishes to find the vertex of the function x2 + 3x - 28 = 0 by completing the square. Which of the following equations may be used to identify the coordinates of the vertex?
A. (x + 1.2)2 = 30.25
B. (x + 2.25)2 = 30.5
C. (x + 2.5)2 = 30.75
D. (x + 2.75)2 = 32.5
Answers
(x+1.5)² - 1.5² - 28 = 0
(x+1.5)² - 25.75 = 0
(x+1.5)² = 25.75
Note: The answer is not listed on the option given. Maybe worth checking the if the original equation has been copied correctly.
an electrician cuts a 136-ft piece of cable. one piece is 16 feet less than 3 times the length of the other piece. Find the length of each piece.
Answers
1st piece = x
2nd piece = 3x-16
x +3x-16 = 136
4x-16 = 136
4x = 152
x = 152/4 = 38
1st piece = 38 feet
2nd piece = 136 -38 = 98 feet
What is the value of mc011-1.jpg?
–4
–2
2
4
the pic is the .jpg
Answers
The question is unclear as it references links rather than providing a specific mathematical problem to solve. A correct answer cannot be given.
Explanation:It appears there has been a misunderstanding. The actual mathematical question has not been provided in the text. Instead, there are references to image sources, licenses, and websites that do not contain a clear mathematical question to answer. Therefore, I'm unable to provide a value or solve the equation.
The value of the expression -2(7-15)/4 simplifies to 4 after following the order of operations: first subtracting inside the brackets, then multiplying by -2, and finally dividing by 4.
Explanation:The value of the given expression -2(7-15)/4 when simplified is computed in the following steps:
Calculate the value inside the brackets: 7 - 15 = -8.Multiply this result by -2: -2 * (-8) = 16.Divide the product by 4: 16 / 4 = 4.Therefore, the value of the entire expression is 4, which corresponds to answer option d)4.
You anticipate that a $2000 investment in a local business will pay an average of 4% interest in each of the next 5 years. Determine to the nearest dollar the amount of the investment at the end of 5 years.
Answers
The initial value, "a", is the value you start out with and in this case, it is $2000.
The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04.
The "x" represents an amount of time. It is 5 years. The equation should be written like this:
y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433.
What is the slope of the line tangent to the curve 3y^2-2x^2=6-2xy at the point (3 2)?
Answers
6ydy/dx - 4x = 0 -2xydy/dx
6ydy/dx+2xydy/dx = 4x
(6y+2xy)dy/dx =4x
dy/dx = 4x/ (6y+2xy)
dy/dx| x=3 : = 4(3) /{ 6(2) +2×3×2}
= 12/ {12+12}
=12/24 = 1/2
If the heights of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have heights (a) greater than 72 inches, (b) less than or equal to 64 inches, (c) between 65 and 71 inches inclusive, (d) equal to 68 inches? assume the measurements to be recorded to the nearest inch.
Answers
μ = 68 in, population mean
σ = 3 in, population standard deviation
Calculate z-scores for the following random variable and determine their probabilities from standard tables.
x = 72 in:
z = (x-μ)/σ = (72-68)/3 = 1.333
P(x) = 0.9088
x = 64 in:
z = (64 -38)/3 = -1.333
P(x) = 0.0912
x = 65 in
z = (65 - 68)/3 = -1
P(x) = 0.1587
x = 71:
z = (71-68)/3 = 1
P(x) = 0.8413
Part (a)
For x > 72 in, obtain
300 - 300*0.9088 = 27.36
Answer: 27
Part (b)
For x ≤ 64 in, obtain
300*0.0912 = 27.36
Answer: 27
Part (c)
For 65 ≤ x ≤ 71, obtain
300*(0.8413 - 0.1587) = 204.78
Answer: 204
Part (d)
For x = 68 in, obtain
z = 0
P(x) = 0.5
The number of students is
300*0.5 = 150
Answer: 150
The student can use the normal distribution and z-scores to estimate the number of students in different height ranges. The heights were estimated to be: about 28 students over 72 inches, 28 students less or equal to 64 inches, roughly 205 students between 65 and 71 inches, and it is statistically impossible to determine exactly 68 inches from the data given.
Explanation:This question is dealing with a concept in statistics known as the normal distribution. In this context, we are asked to find the proportion of students whose heights fall into various ranges, based on a known mean and standard deviation. With a mean of 68 inches and a standard deviation of 3 inches, we can calculate the z-score for each scenario:
Greater than 72 inches: Z = (72-68)/3 = 1.33. Looking at the z-table, the proportion associated with 1.33 is 0.9082, but we want greater than, so we subtract from 1, giving approximately 0.0918, or 9.18%. Multiply this percentage by the total number of students (300) to estimate the number of students taller than 72 inches. This yields an approximate total of 27.54, but since we cannot have fractional students, we would say approximately 28 students.Less than or equal to 64 inches: Z = (64-68)/3 = -1.33. The proportion for -1.33 on the z-table is 0.0918, which we interpret as 9.18%. This would amount to approximately 27 or 28 students.Between 65 and 71 inches: Calculate two z-scores: Z1 = (65-68)/3 = -1.00 and Z2 = (71-68)/3 = 1.00. Using the z-table, we find that the proportions for z-scores of -1.00 and 1.00 are approximately 0.1587 and 0.8413. So, the proportion between these two z-scores is 0.8413 - 0.1587 = 0.6826, or 68.26%. This correlates to roughly 205 students.Equal to 68 inches: It's impossible to exactly determine the number of students who are exactly 68 inches tall from the data given. The normal distribution is a continuous distribution, and the probability of any single, specific value (like exactly 68 inches) is technically zero. However, you can determine the number of students likely to be in a small range around 68 inches.Learn more about Normal Distribution here:https://brainly.com/question/34741155
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help me out some one
Answers
where m = slope, and b = y-intercept.
In problems 1 and 3, your equations are written in the y= mx + b form, so you can read the slope and y-intercept directly.
1.
m = -5/2
b = -5
3.
m = -1
b = 3
5.
For problem 5, you need to solve for y to put the equation
in y = mx + b form. Then you can read m and b just like we did
for problems 1 and 3.
4x + 16y = 8
16y = -4x + 8
y = -4/16 x - 8/16
y = -1/4 x - 1/2
m = -1/4
b = -1/2
solve the system of linear equations. separate the x- and y- values with a coma.
14x-4y=74
7x-7y=7
Answers
Solve the following system:
{14 x - 4 y = 74 | (equation 1)
{7 x - 7 y = 7 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{14 x - 4 y = 74 | (equation 1)
{0 x - 5 y = -30 | (equation 2)
Divide equation 1 by 2:
{7 x - 2 y = 37 | (equation 1)
{0 x - 5 y = -30 | (equation 2)
Divide equation 2 by -5:
{7 x - 2 y = 37 | (equation 1)
{0 x+y = 6 | (equation 2)
Add 2 × (equation 2) to equation 1:
{7 x+0 y = 49 | (equation 1)
{0 x+y = 6 | (equation 2)
Divide equation 1 by 7:
{x+0 y = 7 | (equation 1)
{0 x+y = 6 | (equation 2)
Collect results:
Answer: {x = 7
{y = 6
P{lease note the brackets are supposed to go over both equations but I haven'y been able to find a way to make it work, see attachment.
can someone please express 105/20 as a mixed number in simplist form
Answers
this gives you 5 5/20
this can then be reduced to 5 1/4
answer: 5 1/4
A city's population is represented by the function P=25,000(1.0095)t , where t is time in years.
How could the function be rewritten to identify the daily growth rate of the population?
What is the approximate daily growth rate?
Answers
The daily population growth function is P=25,000((1.0095)1/365.25)t, and the daily growth rate is approximately 1.000026 or an increase of about 0.0026% per day.
Explanation:The city population growth function given, P=25,000(1.0095)t, is an exponential function. To identify the daily growth rate, we need to rewrite this function in terms of days. As there are approximately 365.25 days in a year, we substitute this into the formula for t. Hence, the daily population growth function becomes P=25,000(1.0095)t/365.25.
To find the approximate daily growth rate, we solve for the base of the exponent. Using the fact that (ab)c = abc, we can rewrite the function as P=25,000((1.0095)1/365.25)t.
Thus, the daily growth rate of the population is approximately the value of (1.0095)1/365.25, which calculates to about 1.000026, or an increase of about 0.0026% per day.
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The quotient of a number and ten increased by eleven
Answers
The expression 'The quotient of a number and ten increased by eleven' is written as (x/10) + 11 in mathematical terms. Understanding the role of exponents, such as in the expression 10² equals 100, helps in grasping concepts like scientific notation, where large or small numbers are expressed as the product of a number and a power of ten, such as 1.372568 × 10⁶.
Explanation:The question 'The quotient of a number and ten increased by eleven' translates to a mathematical expression. This expression can be represented as (x/10) + 11, where 'x' is the number in question. It's a simple algebraic expression where you first divide the number by ten and then add eleven to the result.
When discussing multiplication and division by powers of 10, it's important to understand the concept of an exponent. The exponent is a raised number to the right of the 10, indicating the number of factors of 10 in the original number. For example, in the expression 10², the exponent 2 indicates that ten is multiplied by itself once, resulting in 100. This is consistent with the way our numbering system works, with each place value being ten times greater than the one to its right.
The utility of using exponents is highlighted in scientific notation, which simplifies large or small numbers by representing them as a product of a number and a power of ten. This is particularly useful in fields like science and engineering, where very large or very small numbers are common. For example, the number 1,372,568 can be written in scientific notation as 1.372568 × 10⁶, representing the number as a manageable base multiplied by ten raised to the sixth power.
An object is traveling at a steady speed of 8 2/3 miles per hour. How long will it take the object to travel to 5 1/5 miles
Answers
Answer:
The answer is 36 minutes
Step-by-step explanation:
Distance is speed multiplied by time. ( when we have steady speed )
Distance=speed* time
We are looking for time.
Time=Distance /speed
Distance= 5 1/5 miles=5,20
Speed=8 2/3 miles=8,66
T=5.20/8.66666=0,60
1 hour is 60 minutes
T=0,60/60 minutes=36 minutes
The time that it'll take the object to travel in 5 1/5 miles is 36 minutes
Note that 1 hour = 60 minutes Since the object is traveling at a steady speed of 8 2/3 miles.
Let the time taken for the object be represented by x. The equation to solve the question will be:
5 1/5 / 8 2/3 = x / 60
Cross multiply
(8 2/3 × x) = (5 1/5 × 60)
8 2/3x = 312
x = 312/ 8.67
x = 36
Therefore, the time that it'll take the object to travel in 5 1/5 miles is 36 minutes.
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Only the Fahrenheit one plz
Answers
F = 1.8C + 32
The temperature C is given as -20
So, all you have to do is plug the given C temperature in the formula to get the corresponding F temperature as follows:
F = 1.8(-20) + 32 = -36 + 32 = -4 degrees Fahrenheit
write the following decimal as a fraction or mixed number in lowest terms 0.85
Answers
What is M-1/6-4m+5/6 simplified
Answers
The simplified expression is -3M + 1
How did we get the value?To simplify the expression M - (1/6) - 4M + (5/6), we can combine the like terms.
First, let's combine the terms with M:
M - 4M = -3M
Now, let's combine the constant terms:
(1/6) + (5/6) = (1 + 5)/6 = 6/6 = 1
Putting it all together, the simplified expression is:
-3M + 1
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One integer is 5 more than another. Their product is 234. Find the integers?
Answers
x^2 +5x=234
x^2+5x-234=0
Factor:
x^2+5x-234
(x-13)(x+18)
the integers are 13 and 18.
Final answer:
The integers in question are 13 and 18, which fulfill both conditions of one integer being 5 more than the other and their product being 234.
Explanation:
We are looking for two integers where one is 5 more than the other and their product equals 234. Let's designate the smaller integer as x. Then the larger integer can be represented as x + 5. The equation describing their product is:
x * (x + 5) = 234
Expanding this, we get:
x2 + 5x - 234 = 0
Solving this quadratic equation, we can find the values of x that satisfy the equation. The factors of 234 that have a difference of 5 are 13 and 18. So, the two integers we are looking for are 13 and 18.
Sonny substituted 5 for x in the proportion 16/x=48/15 and cross multiplied to get 240=240. Why is this?
A.because the cross sums of the proportion are equal
B.because the cross differences of the proportion are equal
C.because the cross products of the proportion are equal
D.because the cross quotients of the proportion are equal
Answers
the answer is c i just took the test
Answer:
i agree c
Step-by-step explanation:
because 16 times 15 = 240
and 48 times 5 =240
Can anyone figure this out for me please? It would be greatly appreciated.
Answers
now, to get how much is the area of the tiled section, we simply get the area of the whole pool, 53x26, which includes the tiles, and then subtract the area without the tile, the rectangle in the middle, and what's leftover, is the area of the tiled area.
[tex]\bf 53-4\frac{1}{2}-4\frac{1}{2}\implies 53-9\implies \boxed{42} \\\\\\ 26-4\frac{1}{2}-4\frac{1}{2}\implies 26-9\implies \boxed{17} \\\\\\ \textit{so the area of the rectangle in the middle is}\implies 42\cdot 17\implies 714 \\\\\\ \textit{and the area of the whole pool is}\implies 53\cdot 26\implies 1378[/tex]
[tex]\bf \stackrel{\textit{area of the whole pool}}{1378}~~-~~\stackrel{\textit{area of the middle rectangle}}{714}\implies \stackrel{\textit{area of the tiles}}{664}\\\\ -------------------------------\\\\ \textit{we know that is }\$5\frac{1}{2}\textit{ for a foot of tile, then}\stackrel{\textit{price of the tiles}}{664\cdot 5\frac{1}{2}}\implies 3652[/tex]
How can you decompose the composite figure to determine its area?
Answers
semicircle, trapezoid, and 2 rectangles.
Answer:
D. As a semicircle, a trapezoid and two rectangles.
Step-by-step explanation:
Please find the attachment.
We have been given a composite figure. We are asked to decompose our given figure to determine its area.
Upon looking at attachment for our given composite figure, we can see that it consists one semicircle on top, one trapezoid in middle and two rectangles on bottom. So we can decompose our composite figure as a semicircle, a trapezoid and two rectangles.
Therefore, option D is the correct choice.
The sum of the reciprocals of two consecutive integers is -9/20. Find the two integers
Answers
reciprocals are 1/x and 1/(x+1)
1/x +1/(x+1)=-9/20
make the denominators the same:
1(x+1)/x(x+1) + 1x/x(x+1)=-9/20
simplify the demonstrator and add up the numerators: (2x+1)/(x^2+x)=-9/20
20(2x+1)=-9(x^2+x)
40x+20=-9x^2-9x
9x^2 +49x+20=0
factor: (1+5)(9x+4)=0
x=-5 or x=-4/9 (this one doesn't work because it is not an integer)
so the first integer is -5, the second integer is -4
Which of the following expression has a value less than 0.7? A) 0.7×4/3. B) 0.7×3/3 C) 0.7×1/3
Answers
is your answer
0.7 x 1/3 =
0.7 x 0.33 = 0.231
0.231 < 0.7
hope this helps
number that can be divided evenly by only itself and by the number 1 is called which of the following? Prime Variable Prime Term Prime Multiple Prime Factor
Answers
There are 44 colas and 22 lemon lime soda is in the cooler. Whatis the ratio of colas to lemon lime sodas?
Answers
A cube has a volume of 125 cubic inches. What is the length of each edge? Enter your answer in the box.
Answers
Answer: 5 cm
Step-by-step explanation:
Given : The volume of a cube = 125 cubic inches.
The formula for the volume of a cube is :
[tex]V=s^3[/tex], where s is the side-length .
Substitute V= 125 in the above formula ,
[tex]125=s^3[/tex]
Taking cube root on both the sides , we get
[tex]\sqrt[3]{125}=s\\\\\Rightarrow\ s= \sqrt[3]{5^3}=5[/tex]
Hence, the side length of cube= [tex]5\ cm[/tex]
Each edge will be 5 inches.
Volume of the cube = 125 cubic inches
It should be noted that a cube's volume is gotten by multiplying the side thrice. In this case, let's say the value of each side is a. Therefore, based on the information given above:
a × a × a = 125
a³ = 125
a = 3✓125
a = 5
Therefore each edge is 5 inches.
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There are k types of coupons. independently of the types of previously collected coupons, each new coupon collected is of type i with probability pi, ki =1 pi = 1. if n coupons are collected, find the expected number of distinct types that appear in this set. (that is, find the expected number of types of coupons that appear at least once in the set of n coupons.)
Answers
Let X be the expected number of distinct types of coupons in the collection of k coupons X = X1 + X2 + ……. + Xx.
Joe and Ella combine their photos. Then they put an equal number on each page of an 8-page photo album. How many photos are on each page?
Answers
Which of the following numbers is a factor of 49 ?