In the science lab, Will is testing the freezing point of a substance, which should be −24 ∘C. He is changing the temperature at a rate of −3 ∘C per minute, starting at 0 ∘C.Write an inequality for the time t before the temperature reaches the freezing point.
Answers
Answer:
The answer is -3t>-24 which equals t<8
Step-by-step explanation:
An inequality for the time t before the temperature reaches the freezing point is -3t>-24.
Given that, Will is testing the freezing point of a substance, which should be −24 ∘C.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
He is changing the temperature at a rate of -3°C per minute, starting at 0°C.
Let t be time temperature reaches the freezing point.
Now, -3t>-24
Divide -3 on both the side of an inequality, we get
t<8
Therefore, an inequality for the time t before the temperature reaches the freezing point is -3t>-24.
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Related Questions
Starting at sea level, a submarine descended at a constant rate to a depth of −34 mile relative to sea level in 5 minutes.
What was the submarine's depth relative to sea level after the first minute?
Enter your answer as a fraction in simplest form.
Answers
Based on the fact that the submarine's depth was descended to at a constant rate, the submarine's depth relative to sea level with the passing of the first minute was -6⁴/₅ miles
How to find the submarine depth?The submarine descended at a constant rate to the current depth of -34 miles in 5 minutes. This means that the rate can be found by the formula:
= Current depth / Time
= -34 / 5
= -6.8 miles per minute
After the first minute, the depth is:
= -6.8 x 1
= -6.8 miles
This number in fractions is:
= -6 + 8/10
= -6 + 4 / 5
= -6⁴/₅ miles
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0 0 1 0
0 0 0 1
Let A = 1 0 0 0
0 1 0 0
-0 0 0 1
0
0
0. Find All
0
Answers
Answer:
0
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
A grinding machine in an auto parts plant prepares axles with a target diameter
Answers
The mean of the sampling distribution is given as follows:
37.827 millimeters.
How to obtain the mean of the sampling distribution?The mean of the sampling distribution is obtained using the Central Limit Theorem.
The mean of the sampling distribution is the same as the population mean, hence it is given as follows:
37.827 millimeters.
(on the problem, we are given the population mean).
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Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
Answers
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answers
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
How do I get the answer of b and c?
Answers
Given the right triangle ABC
C = 90°
c = hyppotenusse
A=80°
a=18
B= 180-80-90 = 10°
Using the law of sines
\(\frac{a}{Sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}\)\(\frac{18}{Sin(80)}=\frac{b}{Sin(10)}=\frac{c}{Sin(90)}\)Solving for b
\(\frac{18}{sin(80)}=\frac{b}{sin(10)}\)\(sin\left(10\right)*\frac{18}{sin(80)}=b\)\(b=3.174\)Solving for c
\(\frac{18}{s\imaginaryI n(80)}=\frac{c}{s\imaginaryI n(90)}\)\(s\mathrm{i}n(90)*\frac{18}{s\imaginaryI n(80)}=c\)\(c=18.278\)
For 2021, Gourmet Kitchen Products reported $22 million of sales and $19 million of operating costs (including depreciation). The company has $14 million of total invested capital. Its after-tax cost of capital is 9% and its federal-plus-state income tax rate was 25%. What was the firm's economic value added (EVA), that is, how much value did management add to stockholders' wealth during 2021?
Answers
The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Net operating profit = (22 million - 19 million)*(1 - 0.36)
= $1.92 million
EVA = net operating profit after taxes - invested capital*WACC
= 1.92 million - 15 million*0.10
= $0.42 million
Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.
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Please help me in this
Answers
Answer:
The fraction of the circle in one of the white areas is 3/10 (three-tenths)
Step-by-step explanation:
First, you must turn the fraction of the shaded part into an equivalent fraction. In this case:
1/5 = 2/10
Then, you add both of the shaded parts:
2/10 + 2/10 = 4/10
Afterwards, you subtract 4/10 from 10/10:
10/10 - 4/10 = 6/10
Finally, you divide 6/10 into 2:
6/10 ÷ 2 = 3/10
In conclusion, the fraction of the circle in one of the white areas is 3/10
Rewrite 2+(1/b-2) = (3b/b+2) as a proportion. Which of these proportions is equivalent to the original equation?
A. (3/b-2) = (3b/b+2)
B. (2b+3/b-2) = (3b/b+2)
C. (2b-3/b-2) = (3b/b+2)
and asking 2nd part question and answer. thx
Answers
Answer:
C for the first one
1,6 for the second
Neither for the third
Step-by-step explanation: EDGE 2021
Answer:
The first Question is C
Question 2 is 1,6
Question 3 is Neither
Step-by-step explanation:
trust me I took the quiz
A tool box has the dimensions of 9 in by 5 in by 6 in. If Kimberly plans to double one dimension to build a larger tool box, she believes she would double the volume of the tool box. Is she correct?
Answers
Answer:
She is correct.
Step-by-step explanation:
First, multiply 9 * 5 * 6 (original)
9 * 5 * 6
45 * 6
270 in³
Next, multiply 18 * 5 * 6 (if the length was doubled)
18 * 5 * 6
90 * 6
540 in³
Now divide 540 by 270.
540/270
2
Since the volume doubled, Kimberly is correct.
(You could do this for the other two and Kimberly is still correct.
If width was doubled
9 * (5 * 2) * 6 = 9 * 10 * 6
9 * 10 * 6 = 90 * 6
540
If height was doubled
9 * 5 * (6 * 2) = 9 * 5 * 12
45 * 12
540
540/270
2)
PLEASE HELP
If the spinner is spun, what are the ODDS that the pointer lands on the number 6 or greater?
Answers
Answer:
What's the spinner? How many numbers are on it?
Step-by-step explanation:
I need help with this question
Answers
Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours
What is the number of hours Sarah and Penelope worked?This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.
Let's assume that Sarah worked x hours.
Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.
Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.
Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.
The total number of shirts ironed by both Sarah and Penelope is 475 shirts.
So, we can write the equation: 30x + (35/2)x = 475.
To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.
Now, we can solve for x: x = (475 * 2) / 95 = 10.
Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.
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A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answers
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
Can someone help me on 3-6?
Directions: Find the volume of each figure. Round the nearest hundredth.
Answers
Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;
1. 2144.57 m³
2. 696.6 m³
3. 20569.1m³
4. 2637ft³
5. 56.5km³
6. 6381.79 in³
What is volume of sphere?The volume of a sphere is given as 4/3πr³
Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.
1. The volume of the sphere is;
v = 4/3 * 3.14 * 8³ = 2144.57m³
2. The volume of the sphere is;
v = 4/3 * 3.14 * (11/2)³ = 696.6m³
3. The volume of the sphere is;
v = 4/3 * 3.14 * 17³ = 20569.1m³
4. The volume of the hemisphere is;
v = 2/3 * 3.14 * 10.8³ = 2637ft³
5. The volume of the hemisphere is;
v = 2/3 * 3.14 * 3³ = 56.5km³
6. The volume of the hemisphere is;
v = 2/3 * 3.14 * (29/2)³ = 6381.79in³
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A laptop computer is purchased $1500. After each year , the resale value decreases by 25%. What will the resale value be after 5 years ? Round to the nearest dollar
Answers
After 5 years of being decreased by 25% the resale price will be $355
Can someone please answer?
Answers
Answer:
Step-by-step explanation:
another way to express 52+24 is 4(13+6)
Answer:
4(13+6)
Step-by-step explanation:
52+24=76 and 4(13+6)=76.
U add 13+6 first then multiply 4 times 19 and there's ur answer :)
write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.
Answers
Answer:
x = 2
Step-by-step explanation:
8 = 6x + -2x
8 = 4x
8 = 4x
4 4
2 = x
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
Answers
y= 107
This is because opposite angles in a cycling quadrilateral ( the inscribed polygon) are equal to 180
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks (U.S. Department of Energy website, February 22, 2008). A portion of the data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car; Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled HwyMPG shows the fuel efficiency rating for highway driving in terms of miles per gallon.
a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement.
Let x represent the engine's displacement.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x
b) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?: ____%
c) Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge. Let x1 represent engine's displacement. Let x2 represent variable ClassMidsize. Let x3 represent variable ClassLarge.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3
d) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium. Let x1 represents engine's displacement. Let x2 represents variable ClassMidsize. Let x3 represents variable ClassLarge. Let x4 represents variable FuelPremium. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3 + ___x4
f) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
Answers
a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .
a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.
b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.
c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.
d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.
e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.
f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.
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what is the 2nd equvilent fraction to 1/2
Answers
Answer:
The 2nd equivalent fraction to 1/2 is 2/4
Step-by-step explanation:
The 2nd equivalent fraction of 1/2 is obtained by multiplying 1/2 by 2/2.
2nd equivalent fraction = 1/2 × 2/2 = 2/4
1) Which statement below is equivalent to - 15 - 12? Ex choice. a) - 15 + 12=-3 b) -15 +-12=-27 c) 15 - 12=3 d) 15--12=-27 ANSWER: EXPLAIN:
Answers
It’s equivalent to -15-12
For the diagram shown, find the measures of angles 4,5, and 6.
Answers
Answer:
wheres the diagram???
Step-by-step explanation:
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
Answers
Answer:
The probability density function for the average length of life of the two components is \(f(x) = 0.5e^{-0.5x}\)
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following probability density:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
Each missile has a length of life governed by the exponential distribution with mean 1 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
2, each with mean 1 means that \(m = 2*1 = 2, \mu = \frac{1}{2} = 0.5\)
So the probability density function is:
\(f(x) = 0.5e^{-0.5x}\)
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answers
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
In a dart game, Awasin and Tally each threw the darts 10 times. Tally
had three (+2) scores, three (-3) scores and four (+1) scores. Awasin had
four (+2) scores, four (-3) scores, and two (+1) scores. The winner had the
greater score. Who won the game and what was their score?
Answers
Tally won the dirt throwing game and his score was 1.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
From the given information, The score of Tally is,
= 3×2 - 3×3 + 4×1.
= 6 - 9 + 4.
= 1.
The score of Awasin is,
= 4×2 - 4×3 + 2×1.
= 8 - 12 + 2.
= - 2.
So, Tally won the game and his score is 1.
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a right triangle has a hypotenuse that is 10ft long and a leg that is 6ft long. find the length of the unknown leg. make sure to include units in your answer and round to the ones place.
Answers
So,
To find the missing leg we have to use phytagoras theorem.
Then:
On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answers
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
\(S.E = \frac{S.D}{\sqrt{n} }\)
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
\(S.E = \frac{S.D}{\sqrt{n} }\)
\(S.E = \frac{1.63}{\sqrt{49} } = 0.2328\)
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
In a class of students, the following data
table summarizes how many students have a
cat or a dog. What is the probability that a
student chosen randomly from the class has
a cat?
Has a dog
Does not have a
dog
Has a cat
2
3
Does not have a
cat
12
10
Answers
The table can be summarized as follows:
| | Has a dog | Does not have a dog |
|----------|-----------|---------------------|
| Has a cat | 2 | 3 |
| Does not have a cat | 12 | 10 |
To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.
The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.
The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.
So, the probability that a student chosen randomly from the class has a cat is 5/27.
If anyone knows the answer please answer
Answers
MATH
Systems of Linear Equations
1. Determine if each system of equations below is linear or nonlinear.
A. -9x+8y = 9x 7y+8=8x
Linear or nonlinear?
D. 6y+x=12 y-x=1-x
B.
2.3y+1.2x = 0
1.1x+0.1y 1.2
C.
2 7-3y=- 2x+9= 3y
Linear or nonlinear?
Linear or nonlinear?
E. 45x + y = 12 y+x² = 1-x²
Linear or nonlinear?
G
0.2x+9.1y9.1√x
7x+1=8√y
Linear or nonlinear?
F. x+8y = 81 x-7y = 32
Linear or nonlinear?
H.
98317y= 1010 + 2965x
-71389y=5692x - 1001
3 xx y-5= 1 zy+3x=-21
Linear or nonlinear?
Linear or nonlinear?
Linear or nonlinear?
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
2. Find the solution, if one exists, for each of the graphs shown below that are representing different systems of linear equations.
A.
B.
Solution:
Solution:
C.
D.
Solution:
Solution:
Answers
The system of equations -9x+8y = 9x and 7y+8=8x is linear.
A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.
In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).
Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).
Therefore, the system of equations is linear.
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