According to most medical doctors, a person's normal body temperature should remain within 0.5 degrees Fahrenheit of 98.6ºF. Which equation below can be used to determine the lowest and the highest body temperature that would be considered normal?
A.) |t+98.6|=−0.5
B.) |t+0.5|=98.6
C.) |t−0.5|=98.6
D.) |t−98.6|=0.5
Answers
Answer:
C.) |t−0.5|=98.6
Step-by-step explanation:
Since a person's normal body temperature should remain within 0.5 degrees Fahrenheit of 98.6ºF. The equation which can be used to determine the lowest and the highest body temperature that would be considered normal is;
|t−0.5|=98.6
Conversion of Degree Celsius to Fahrenheit.
0°C = 32°F
0.5°C = 32.9°F
Let's assume we have a temperature of 100°F, 20°F, 200°F
Substituting these values into the equation, we have;
|100−32.9|=67.1°F
|20−32.9|= -12.9°F
|200−32.9|=167.1°F
This temperature (67.1°F) is within the normal range.
This temperature (-12.9°F) is below the normal range.
This temperature (167.1°F) is above the normal range.
Related Questions
Which expression is equivalent to −30+(−40)+(−70) ?
−(30−40)+(−70)
−30+(−70)+(−40)
30+40+70
−30−(40−70)
Answers
Answer:
the second on 222222222222
-(30-40)+(-70) = -60
-30+(-70)+(-40) = -140
30+40+70 = 140
-30-(40-70) = 0
So your answer is -30+(-70)+(-40)
Joe had 21 pennies, but then he lost 11 pennies. His friend gave him 5 more pennies. How many pennies does Joe have now?
Answers
Answer:
15 pennies
Step-by-step explanation:
lost means subtract and gave him means add
21 -11 +5
15
Answer:
15 pennies
Step-by-step explanation:
You can start by saying that after losing 11 pennies from his original amount it is 21-11, which equals to 10.
THen the question says that his friend gives him an additional 5 pennies, which is shown by 10+5=15
THerefore, all you had to do was use the information given and add or subtract the number of pennies from the original.
Answer: 15 pennies
Hope this helped
determine which of the points (1, −2), (− 3, −3), and (− 2, − 3) lie on the line 2x1 − 5x2 = 9.
Answers
(-3, -3)
To determine which of the points (1, -2), (-3, -3), and (-2, -3) lie on the line 2x1 - 5x2 = 9, we need to substitute the x and y values of each point into the equation and see if the equation holds true. This is done as follows:
When x = 1 and y = -2,
2x1 - 5x2 = 2(1) - 5(-2) = 2 + 10 = 12 ≠ 9
This means that the point (1, -2) does not lie on the line 2x1 - 5x2 = 9.
When x = -3 and y = -3,
2x1 - 5x2 = 2(-3) - 5(-3) = -6 + 15 = 9
This means that the point (-3, -3) does lie on the line 2x1 - 5x2 = 9.
When x = -2 and y = -3,
2x1 - 5x2 = 2(-2) - 5(-3) = -4 + 15 = 11 ≠ 9
This means that the point (-2, -3) does not lie on the line 2x1 - 5x2 = 9.
Therefore, only the point (-3, -3) lies on the line 2x1 - 5x2 = 9.
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If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answers
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
A boy rides his bicycle \( 1.5 \mathrm{~km} \). The wheels have radius \( 30.0 \mathrm{~cm} \). What is the total angle the tires rotate through during his trip? \( \theta= \) radians
Answers
To calculate the total angle the tires rotate through during the boy's trip, we can use the formula:
\[
\theta = \frac{{\text{{distance traveled}}}}{{\text{{circumference of the wheel}}}}
\]
First, let's convert the distance traveled from kilometers to centimeters, as the radius of the wheels is given in centimeters. Since 1 kilometer is equal to 100,000 centimeters, the distance traveled is \(1.5 \mathrm{~km} = 1.5 \times 100,000 \mathrm{~cm} = 150,000 \mathrm{~cm}\).
The circumference of a circle can be calculated using the formula \(C = 2 \pi r\), where \(r\) is the radius of the wheel. Substituting the given radius value, we have \(C = 2 \pi \times 30.0 \mathrm{~cm} = 60 \pi \mathrm{~cm}\).
Now, let's calculate the angle:
\[
\theta = \frac{{150,000 \mathrm{~cm}}}{{60 \pi \mathrm{~cm}}} = \frac{{2,500}}{{\pi}} \mathrm{~radians} \approx 795.77 \mathrm{~radians}
\]
Therefore, the total angle the tires rotate through during the boy's trip is approximate \(795.77\) radians.
Conclusion: The total angle the tires rotate through during the boy's \(1.5 \mathrm{~km}\) bicycle trip is approximate \(795.77\) radians.
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Let F = (2xy, 10y, 7z). The curl of F = (__ __ __) Is there a function f such that F = Vf?__ (y/n)
Answers
To find the curl of F, we need to compute the determinant of the following matrix:
| i j k |
| ∂/∂x ∂/∂y ∂/∂z |
| 2xy 10y 7z |
Expanding the determinant, we get:
i(7 - 0) - j(0 - 0) + k(0 - 20x)
= (7 - 20x)k
Therefore, the curl of F is (0, 0, 7 - 20x).
To check if there is a function f such that F = ∇f, we need to compute the partial derivatives of each component of F with respect to the corresponding variable. If these partial derivatives are equal, then there exists a scalar function f such that F = ∇f.
∂F_x/∂y = 2x
∂F_y/∂x = 2x
Since these partial derivatives are not equal, there is no function f such that F = ∇f. Therefore, the answer is "no" (n).
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a line is parallel to the y=x-8 and intersects the point (4,-9). What is the equation of this parallel line? Start by entering this into point-slope form
Answers
Answer:
sry i dont no
A farmer goes to the market to sell a box of eggs. A clumsy horse steps on the box of eggs and breaks a lot of them. The horse’s rider offers to pay for all of the eggs in the box and asks the farmer how many eggs there were. The farmer does not remember the exact number, but when she took them out of the box two at a time, there was 1 egg left. The same thing happened when she took them out three, four, five and six eggs at a time, but when she took them out 7 at a time, there were no eggs left
Answers
The smallest number of eggs that could have been in the box is 1134
The problem is to find the smallest number of eggs that could have been in the box, given the remainder when taking them out by different numbers. Here are the moves toward tackling it:
Allow n to be the quantity of eggs in the container. Then we have the accompanying arrangement of congruences:
n ≡ 1 (mod 2)
n ≡ 1 (mod 3)
n ≡ 1 (mod 4)
n ≡ 1 (mod 5)
n ≡ 1 (mod 6)
n ≡ 0 (mod 7)
For this problem, we have k = 6 k = 6, a i = {1,1,1,1,1,0} a_i = {1,1,1,1,1,0}, M i = {1260,840,630,504,420,720} M_i = {1260,840,630,504,420,720}, and y i = {−1,−2,−3,-4,-5,-6} y_i = {-1,-2,-3,-4,-5,-6}.
Plugging these values into the formula and simplifying modulo 5040, we get:
n = (−1260 + −1680 + −1890 + −2016 + −2100 + 0) mod 5040
n = (−8946) mod 5040
n = (−3906) mod 5040
n = 1134 mod 5040
Therefore, the smallest number of eggs that could have been in the box is 1134
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if four potential jurors are excused from jury duty for medical reasons, what is the probability that all four of them are women? (round your answer to four decimal places.)
Answers
The probability that all four of them are women = 0.0060
Total number of people eligible for jury duty = 140
Number of women out of eligible 140 people = 40
So the number of men = 100
Number of jurors excused from jury duty for medical reasons = 4
That is, out of this 140 people 4 are selected and this can be done in a total of 140C4 = 15329615 ways
We need to find the probability that all four of the excused are women.
Number of ways of selecting 4 out of 40 women = 40C4 = 91390 ways
Hence probability of all four of the excused jurors being women
= Number of Favorable outcomes/Total number of outcomes = 40C4/140C4
= 0.00596
= 0.0060 rounded to four decimal places.
The question is not complete. Find the complete question below:
In a small county, there are 140 people on any given day who are eligible for jury duty. Of the 140 eligible people, 40 are women. If four potential jurors are excused from jury duty for medical reasons, what is the probability that all four of them are women? (round your answer to four decimal places.)
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The area of the shaded sector is shown.
Answers
Answer:
3.99
Step-by-step explanation:
The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89
A=πr^2
=> (12.36 x 360)/89 = 3.14(r^2)
r^2 = 15.92
r = 3.99
If 5+5=10 then whats 5-10?
F.r.e.e. points
Answers
Hope this helps
-Zayn Malik
Answer:
\(\sf\longmapsto - 5\)
Step-by-step explanation:
\(\sf\longmapsto \: 5 - 10\)
\(\sf\longmapsto - 5\)
How many more votes did bill clinton get than george bush? about 44 million about 6 million about 25 million
Answers
Answer:
Step-by-step explanation:
B - 6 million
b. 6 Million
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Evaluate the function for for f(2),
f(x) = x2 – 5x +7
Answers
Answer:
Hi! The correct answer is 1
Step-by-step explanation:
~Simplify the expression~
Answer:
f(2)=2²-5×2+7=4-10+7=-6+7=1
graph the line with the equation y=-6x+2
Answers
Answer:
The following function has been graphed put in the picture attached.
I don’t understand this plz help
Answers
Answer:
2sqrt(5)
Step-by-step explanation:
Using Fourmla of distance between two points
Suppose that both of the events you have just analyzed are partly responsible for the increase in the price of pizzas. Based on your analysis of the explanations offered by the two groups of students, how would you figure out which of the possible causes was the dominant cause of the increase in the price of pizzas?.
Answers
The supply curve swings left along the demand curve, raising the price of the pizza shops to close. If individuals just have a greater interest in beer, the demand curve will shift to the right, which will cause the price to rise as the supply curve is moved to the right. Apply this knowledge to the rest of the analysis.
If the price increase was modest, then the movement in supply in the pizza market must have outweighed the shift in demand. The supply shift in the pizza market must have been greater than the demand shift if the equilibrium amount of pizzas declines. The price of pizzas must have changed as a result of whichever modification happened first. If the amount of pizzas in the equilibrium market falls, the demand shift must have been greater than the supply shift.
The demand curve changes to its proper position. It happens as a result of people switching to eating pizza instead of pizzas. The new equilibrium price rises as a result of the new demand curve and the existing supply curve.
A rise in supply and a decline in demand will result in a decrease in the equilibrium price, but the impact on the equilibrium quantity cannot be predicted. Consumers now place less significance on price for any quantity, and producers are willing to simply accept a lower price; as a result, the price will decrease.
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simplify the ratio 4.5: 3 1/2 in its simplest form
Answers
Answer:
9 : 7
Step-by-step explanation:
Given
4.5 : 3 \(\frac{1}{2}\) ( multiply both parts by 2 to clear the fractions )
= 9 : 7
What are the explicit equation and domain for an arithmetic sequence with a first term of 9 and a second term of 1?
Answers
The explicit equation for this arithmetic sequence is: aₙ = 9 + (n-1)(-8).
What in mathematics is an arithmetic sequence?An arithmetic series is one that has the following formula: a, a + d, a + 2d, a + 3d, a + 4d,... The basic distinction of the sequence is d, and the number an is the first term. An arithmetic sequence's nth term is determined by the formula a = a + (n - 1)d.
How do you discover the mathematical order?The formula for an arithmetic sequence is given as an=a1+(n1)d, where an a n is a broad term, a1 a 1 is the initial term, and d is the huge distinction. This is done in order to locate the general phrase in the list.
The general form of the explicit equation for an arithmetic sequence is:
an = a1 + (n-1)d
Given that the first term is 9 and the second term is 1,
d = a2 - a1 = 1 - 9 = -8
So the explicit equation for this arithmetic sequence is:
aₙ = 9 + (n-1)(-8)
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Circle the outliers in the following scatter plots. -5 15 10 L 5 5 -5 10 15 4 3 2 2 3 4 5 - 60 7
Answers
The outliers in the following scatterplots need to be circled:--5, 15-60
The points (-5,15) and (-60,7) are outliers.
An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:
--5, 15-60
The points (-5,15) and (-60,7) are outliers.
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discrete math Let P(n) be the equation
7.1+7.9+7.9^2 +7.9^3+...+7.9^n-3 = 7(9n-2-1)/8
Then P(2) is true.
Select one:
O True
O False
Answers
Main Answer:
False
Explanation:
The equation given, P(n) = 7.1 + 7.9 + 7.9^2 + 7.9^3 + ... + 7.9^(n-3) = (7(9^n-2 - 1))/8, implies that the sum of the terms in the sequence 7.9^k, where k ranges from 0 to n-3, is equal to the right-hand side of the equation. We need to determine if P(2) holds true.
To evaluate P(2), we substitute n = 2 into the equation:
P(2) = 7.1 + 7.9
The sum of these terms is not equivalent to (7(9^2 - 2 - 1))/8, which is (7(81 - 2 - 1))/8 = (7(79))/8. Therefore, P(2) does not satisfy the equation, making the statement false.
In the given equation, it seems that there might be a typographical error. The exponent of 7.9 in each term should increase by 1, starting from 0. However, the equation implies that the exponent starts from 1 (7.9^0 is missing), which causes the sum to be incorrect. Therefore, P(2) is not true according to the given equation.
Learn more about
To further understand the solution, it is important to clarify the pattern in the equation. Discrete math often involves the study of sequences and series. In this case, we are dealing with a geometric series where each term is obtained by multiplying the previous term by a constant ratio.
The equation P(n) = 7.1 + 7.9 + 7.9^2 + 7.9^3 + ... + 7.9^(n-3) represents the sum of terms in the geometric series with a common ratio of 7.9. However, since the exponent of 7.9 starts from 1 instead of 0, the equation does not accurately represent the sum.
By substituting n = 2 into the equation, we find that P(2) = 7.1 + 7.9, which is not equal to the right-hand side of the equation. Thus, P(2) does not hold true, and the answer is false.
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The given function, P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8 would be true.
The given function, P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8
Now, we need to determine whether P(2) is true or false.
For this, we need to replace n with 2 in the given function.
P(n) = 7.1 + 7.9 + 7.9² + 7.9³ + ... + 7.9ⁿ⁻³ = 7(9ⁿ⁻² - 1) / 8P(2) = 7.1 + 7.9 = 70.2
Now, we need to determine whether P(2) is true or false.
P(2) = 7(9² - 1) / 8= 7 × 80 / 8= 70
Therefore, P(2) is true.
Hence, the correct option is True.
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Find the equivalent percent for ¾
Answers
3/4 is equivalent to 75%.
To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.
Answer:
75%....3/4 expressed as a percentage is just multiplying 3/4 and 100
highest common factor of 350 and 150
Answers
Answer: 50
Step-by-step explanation: Common factor of 150 and 350 = 1, 2, 5, 5. Highest common factor of 150 and 350 = 2 × 5 × 5 = 50.
HAIIIIIII PLS HELPPPPPP
dis is confusing -_-
Miguel has $30. He spends $8.00 on a movie ticket, $3.85 for snacks and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has_____dollars left
Answers
Answer:
$16.5
Step-by-step explanation:
$30-$8-$3.85-$1-$1 = $16.5
HELP DN#!#errfreeeeeeeeeeeeeeeeeew
Answers
Answer:
d
Step-by-step explanation:
the combo meal was 7.75. there is a 20% reward coupon. how much is the combo
Answers
A laptop computer is on sale for 10% off the original price
of $1,500 and a 7.25% sales tax is added after the
discount. What is the total cost?
Answers
Answer:
$1,252.13 I believe or $1,252
Step-by-step explanation:
Multiply the 1500 by .10 and you'll get 150
Now subtract that from 1500 that's 1350
.0725 multiplyed by 1350 is 97.875
Subtract that from 1350 and you'll get the answer!
how many whole numbers lie between
\( \sqrt{8} \: and \: \sqrt{80} \)
Answers
In 2019, selected automobiles had an average cost of $15,000. The average cost of those same automobiles is now $17,400. What was the rate of increase for these automobiles between the two time periods? (Enter your answer as a percentage, rounded to the neorest whole number.)
Answers
This means that the average cost of selected automobiles has increased by 16% between the two years.
Given data: The average cost of selected automobiles in 2019 = $15,000
The average cost of selected automobiles now (current year) = $17,400
Let's calculate the rate of increase in the average cost of the automobile between the two years.
To find the rate of increase, use the following formula;
rate of increase = increase in value / original value * 100
To get the increase in the value of selected automobiles, subtract the current year's average cost of selected automobiles from the previous year's average cost of selected automobiles.
i.e. increase in value = current year's average cost - previous year's average cost
= $17,400 - $15,000
= $2,400
Now put the values in the formula to get the rate of increase;
rate of increase = increase in value / original value * 100
= 2400 / 15000 * 100
= 16
Therefore, the rate of increase for selected automobiles between the two time periods is 16%.
It's essential to note the rate of increase or decrease in the value of products or services. It helps in decision making, future predictions, etc.
The above question deals with finding the rate of increase in the cost of selected automobiles. To get the rate of increase, the formula rate of increase = increase in value / original value * 100 is used.
To get the increase in the value of selected automobiles, subtract the current year's average cost of selected automobiles from the previous year's average cost of selected automobiles. i.e. increase in value = current year's average cost - previous year's average cost.
The value of selected automobiles was $15,000 in 2019, and now it is $17,400.
Now, the rate of increase in the average cost of automobiles can be found using the formula rate of increase = increase in value / original value * 100.
Put the values in the formula to get the rate of increase.
Therefore, the rate of increase for selected automobiles between the two time periods is 16%.
It indicates that if a person had bought an automobile in 2019 for $15,000, he has to pay $17,400 for the same automobile now.
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The actual width of a garage door is 3 m. In a scale diagram, the width of the garage door is
20 cm. What scale factor was used? Give your answer as a percent to one decimal place
Answers
Answer: the answer is 357,716.5 your welcome
Step-by-step explanation:
which of the dot plot shows a skewed distribution
Answers
Answer:
Option C and D
Step-by-step explanation:
Skewed distribution means the dot plot has only one peak distribution.Option see has started from low then goes directly to high and then lowD followed almost same but it came to low in static way.Answer: d
Step-by-step explanation: