Answer:
1.88 m^2/min to the nearest hundredth.
Step-by-step explanation:
Area = π r^2
Using Calculus notation:
dA/dr = 2π r
dr/dt = 0.25 (given)
So the rate of change of area
dA/dt = dA/dr * dr/dt
So when r = 1.2
dA/dt = 2 π * 1.2 * 0.25
= 0.6π m^2/min.
= 1.88 m^2/min to the nearest hundredth.
Determine the period.
Acellus
Explanation:
One root (aka x intercept) is at x = 0
The next root over isn't clear, but luckily we can skip over it and see the next root after that is x = 5
After this point, the curve repeats itself. This means the period is 5 units.
The graph repeats itself every 5 units, aka the cycle is 5 time units long.
Ammonia, nh3 (delta.hf = –46.2 kj), reacts with oxygen to produce water (delta.hf = –241.8 kj) and nitric oxide, no (delta.hf = 91.3 kj), in the following reaction: 4 upper n upper h subscript 3 (g) plus 5 upper o subscript 2 (g) right arrow 6 upper h subscript 2 upper o (g) plus 4 upper n upper o (g). what is the enthalpy change for this reaction? use delta h r x n equals the sum of delta h f of all the products minus the sum of delta h f of all the reactants.. –900.8 kj –104.6 kj 104.6 kj 900.8 kj
The enthalpy change (ΔH) for the reaction given the data from the question is –900.8 KJ
Data obtained from the question4NH₃ + 5O₂ —> 6H₂O + 4NOEnthalpy of ammonia, NH₃ = –46.2 KJEnthalpy of Oxygen = 0 KJEnthalpy of water, H₂O = –241.8 KJEnthalpy of nitric oxide, NO = 91.3 KJEnthalpy change (ΔH) =?How to determine the enthalpy changeΔHrxn = ∑ΔH(products) - ∑ΔH(reactants)
ΔHrxn = ∑[H(H₂O) + H(NO)] - ∑[H(NH₃) + H(O₂)]
ΔHrxn = [(6 × –241.8) + (4 × 91.3)] – [(4 × –46.2) + (5×0)]
ΔHrxn = –1085.6 + 184.8
ΔHrxn = –900.8 KJ
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Answer:
A: –900.8 kJ
Step-by-step explanation:
Stephen buys two cookies and one muffin for $5. Jacks buys one cookie and one muffin for $3. How much is a cookie? How much is a muffin?
Answer: Cookie=2$ and Muffin=1$
Step-by-step explanation: Cookie=x and Muffin =y
then, 2x+y=5...(1)
x+y=3...(2)
(1) - (2)
2x+y-x-y=5-3
or, x=2
then y=1
Answer:
c = 2
m= 1
Step-by-step explanation:
Im guessing you will need to use simultaneous equations
Let 'c' be the cost of 1 cookie and 'm' be the cost of 1 muffin
1) 2c + 1m = 5 -
2) 1c + 1m = 3
c / = 2
So c is 2
1) Label the equations 1 and 2
2) Find a common term in both equations ( bold)
3) Eliminate 1m by subtracting equation (2) from equation 1
( To know if to subtract or add always follow this rule: If the common terms and the same sign subtract if they are a different sign add)
4) Substitute c in any of the equation ( 1 or 2) to find m
I will use equation 2 because I think its easier
2) 1c+1m = 3
2 + m = 3
m= 3-2
m= 1
a1 = 10 and an =an -1 +2
I assume you're asking to solve for the n-th term in the sequence, [tex]a_n[/tex].
From the given recursive rule,
[tex]a_n = a_{n-1} + 2 \implies a_{n-1} = a_{n-2} + 2[/tex]
and by substitution,
[tex]\implies a_n = a_{n-2} + 2\times2[/tex]
Similarly,
[tex]a_n = a_{n-1} + 2 \implies a_{n-2} = a_{n-3} + 2[/tex]
[tex]\implies a_n = a_{n-3} + 3\times2[/tex]
The pattern continues, so that we can write the n-th term in terms of the 1st one:
[tex]a_n = a_1 + (n-1)\times2 \implies a_n = 10 + 2(n-1) = \boxed{2n+8}[/tex]
So the first few terms of the sequence are
{10, 12, 14, 16, 18, 20, …}
8. In the diagram, the measure of the arc from A to B not
passing through C is 80 degrees. What is the measure of
angle ACB?
A. 20 degrees
B. 40 degrees
C. 80 degrees
D. 160 degrees
Step-by-step explanation:
for the same arc, the angle at the circumference of the circle is half of the angle at the center of the circle.
and the arc angle is normally representing the angle at the center of the circle.
therefore, the
angle ACB = arc angle AB / 2 = 80/2 = 40°
so, B is the right answer.
To the nearest square centimeter, how many square centimeters of the plate are covered by the napkin? 16 square centimeters 30 square centimeters 56 square centimeters 60 square centimeters
The area covered by the napkin is 56 square centimeters
How to determine the area covered by the napkin?This is calculated using:
[tex]Area = \frac 12 ab\sin(C)[/tex]
Where:
a = 15, b = 5 and C = 30
So, we have:
[tex]Area = \frac 12 * 15 * 15 * \sin(30)[/tex]
Evaluate the product
Area = 56.25
Approximate
Area = 56
Hence, the area covered by the napkin is 56 square centimeters
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Answer: 56
Step-by-step explanation:
that’s c on 2023 edge
If the ratio of iphones to total phones in a classroom is 5: 8 and there are 24 phones overall, how many iphones are there?
Answer:
The answer is 15
Step-by-step explanation:
Step-by-step explanation:
let the number of total phones be 8x and number of iPhones be 5x
now,
8x=24
or, x= 24/8 = 3
therefore
no. of iPhones = 5x = 5×3 = 15
i hope my answer is clear
In general, 60 beats per minute (bpm) is a heart rate that is considered too slow for an adult when at rest and 100 bpm is considered too high. As one way of measuring the stress of Canadian air traffic controllers, heart rates of 173 randomly selected air traffic controllers were measured across Canada. Of this sample of air traffic controllers, 47 had a resting heart rate over 100 bpm. What is the true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm
The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%
How to calculate true proportion?We are given;
Sample size; n = 173
Number of people who had a resting heart rate over 100 bpm = 47
Now, formula for true proportion is;
p' = x/n
where;
x represents the number of successes
n represents the sample size.
p′ is the sample proportion which is the point estimate for the true population proportion.
Thus;
p' = 47/173
p' = 0.2717
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ABCD is a parallelogram. Determine the measure of ∠B.
The measure of the ∠B of given parallelogram is 362 - 42x
In the above question, a figure which is known as Parallelogram is given, where the following angles are given :
Measure of ∠A = 6x + 14
Measure of ∠C = 9x - 7
Measure of ∠D = 17x + 5
We need to find, the measure of the ∠B
From the properties of a Parallelogram, we know that "The sum of all the interior angles of a parallelogram is equal to 360°". So using this property we'll find the measure of ∠B
Now,
∠A + ∠B + ∠C + ∠D = 360
16x + 14 + ∠B + 9x - 7 + 17x + 5 = 360
∠B + ( 16x + 9x + 17x ) = 360 - ( -14 + 7 -5)
∠B + 42x = 360 - (-2)
∠B = 362 - 42x
Hence, the measure of the ∠B is 362 - 42x
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Answer:
56 degrees
Step-by-step explanation:
Just did the Imagine Math
Jillian guessed at random for each question on a true-false quiz of ten questions. what is the probability that she got exactly seven questions correct?
Answer:
11/64
Step-by-step explanation:
Each question can be answered in 2 ways
∴ Total ways in which 10 questions can be answered
=2¹⁰
No. of ways of guessing at least 7 questions
out of 10
=7 questions correct +8 questions correct
+9 questions correct +10 questions correct
= ¹⁰C7(1)⁷+ ¹⁰C8(1)⁸+ ¹⁰C9(1)⁹+ ¹⁰C10(1)¹⁰
= 120 + 45 + 10 +1
=176
..Required Probability =176/2¹⁰
.. =11×16/2¹⁰
=11/64
use the dots for one and two. what is the difference between the ranges
a. 20 points
b. 5 points
c. 10 points
d. 35 points
Answer:
a. 20 points
Step-by-step explanation:
Range = Largest given value - Smallest given value.
Identifying the range of test 1
Looking at the dot plot the lowest test grade appears to be 50 while the highest is 90.
So range of test 1 = 90 - 50 = 40
Identifying the range of test 2
Looking at the plot the lowest test grade appears to be 40 while the highest appears to be 100
So range = 100 - 40 = 60
Identifying the differences between the ranges
Test 1 range : 40
Test 2 range : 60
Difference between the two : 60 - 40 = 20 points
What is the measure of E
Step-by-step explanation:
Represent D and E as x because you don't know them
Now the sum of all these angles is 180
so,D+E+90(THE SIGN AT THE TOP)=180
D which is x the E which is also x
x+x+90=180
2x+90=180
2x=180-90
2x=90
[tex] \frac{2x}{2} = \frac{90}{2} [/tex]
cancel and you will get x as 45
therefore x is 45 degrees
A bag contains 8 red marbles, 4 blue marbles, and 1 green marble. if a marble is selected at
random, what is the probability that it is not blue?
Answer:
the odds that it not blue is 9 /13 or .692
Step-by-step explanation:
The formula for compound interest is
A = P (1 + r/100)t
where A is the total amount of money, P is the amount invested, r is the interest rate per compounding period, and t is the total number of years. What would be the total amount of money after 4 years if $1,000 were invested at 2% compounded annually?
Answer:
ProvideD :
Time ( T ) = 4 years , Principal ( P ) = $ 1000 , Rate ( R ) = 2 % paTo FinD :
Total amount of money ( A )SolutioN :
All you need to do is plug the values in the provided formula and solve for A[tex] \longrightarrow \tt \: a = 1000(1 + \frac{2}{100} )^{4} [/tex]
[tex] \longrightarrow \tt \: a = 1082.43216[/tex]
The total amount of money would be $ 1082.43216--------- HappY LearninG <3 ---------
Based on the end behavior of the graph, which polynomial function is graphed here?
graph of f(x) = -3x^4 - 6x^3 - 2x^2 + x + 3
A.
f(x) = 3x4 − 6x3 − 2x2 + x + 3
B.
f(x) = -3x3 − 2x2 + x + 3
C.
f(x) = -3x4 − 6x3 − 2x2 + x + 3
D.
f(x) = 3x3 − 2x2 + x + 3
Answer:
C) [tex]f(x)=-3x^4-6x^3-2x^2+x+3[/tex]
Step-by-step explanation:
As the graph of the function has 3 turning points, then it cannot be options B or D because the function would've had 2 turning points at most.
Also, since the graph of the function opens downward, the leading coefficient must be negative, so C must be the correct answer.
Marcus had to drive to a job training workshop in a city 225 miles away from his home. He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training. How much was he paid for attending this workshop?
Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
How to calculate allowance?According to this question, Marcus had to drive to a job training workshop in a city 225 miles away from his home.
He was paid $0.55 per mile each way and was also given a motel and meal allowance of $145 per day for the four-day training.
This means that Marcus was paid as follows:
$0.55 × 225 miles = $123.75$145 × 4 = $580Therefore, Marcus was paid $703.75 for attending the workshop based on calculations from his driving job and motel & meal allowance.
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Which measure of variability is the most appropriate for this set of values? OA range OB. interquartile range OC. mean absolute deviation OD. absolute deviation O E. either interquartile range or mean absolute deviation
The most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
We have data shown in the picture.
As we know, Quartiles or ranges are useful, but they are limited because they skip a lot of data in the group.
For a data set like the one in this question, where the items are close in difference, absolute deviation can help us gain a more representative notion of spread.
Thus, the most appropriate measure is absolute deviation, as we know absolute deviation can help us gain a more representative notion of spread option (D) is correct.
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Find the missing angle. 60° 80° 90° 200
Answer:
80
Step-by-step explanation:
140-60
Help me find the angle P and FHR equals in the attachment. I am running out of time pls help quick
For his phone service, Omar pays a monthly fee of $26, and he pays an additional $0.06 per minute of use. The least he has been charged in a month is
$108.74
What are the possible numbers of minutes he has used his phone in a month?
Use m for the number of minutes, and solve your inequality for m.
D
>
DO
20
х
5
?
Answer: m ≥ 1,379
Step-by-step explanation:
$26 monthly fee
$0.06/minute of use
$108.74 (least charged in a month)
m = number of minutes
26 + 0.06m ≥ 108.74
0.06m ≥ 108.74 - 26
0.06m ≥ 82.74
[tex]\frac{0.06m}{0.06}[/tex] ≥ [tex]\frac{82.74}{0.06}[/tex]
m ≥ 1,379
Sam is using the expression 2x/6y in class. What is the value of the expression when... x=15 and y= 1/3?
Answer:
the value of the expression will be 15.
Step-by-step explanation:
equation giver : 2x/6y
value of x given: 15
value of y given: 1/3
on putting the values in the equation,
2×15 / 6×1/3
= 30 / 6/3
on simplification,
= 30/2
= 15
therefore, the value of the expression will be 15
hope it helps!!please mark brainliest ♡CAN SOMEONE HELP ME PLS?
Answer:
x = 8
[tex]\overline{AC}[/tex] = 30
[tex]\overline{CD}[/tex] = 10
Step-by-step explanation:
Triangle [tex]\triangle ABC[/tex] and triangle [tex]\triangle DEC[/tex] are similar because they have 2 congruent angles. We can find the scale factor between them by comparing the length of [tex]\overline{BC}[/tex] and [tex]\overline{EC}[/tex] in a fraction, resulting in us finding the scale is 3:1 from [tex]\triangle ABC[/tex] to [tex]\triangle DEC[/tex].
Now we can solve for x using a proportion.
[tex]\frac{3}{1} = \frac{x+22}{x+2}[/tex] | Cross multiply
3x+6 = x+22 | Subtract x from both sides
2x+6 = 22 | Subtract 6 from both sides
2x = 16 | Divide both sides by 2
x = 8
Now we can solve for [tex]\overline{AC}[/tex] and [tex]\overline{CD}[/tex] by substitution.
[tex]\overline{AC}[/tex] = x + 22 = 8 + 22 = 30
[tex]\overline{CD}[/tex] = x + 2 = 8 + 2 = 10
These are your answers
- Kan Academy Advance
what type of association would you expect to see between the length of a movie and the number of actors in the movie
Answer:
positive association
Step-by-step explanation:
The longer a movie is, the more screen time it will have, and the more actors it will probably need.
I need help asap please
Answer:
12.36
Step-by-step explanation:
the standard deviation is 12.36123 or 12.36 rounded.
#3
the price of a watch was decreased by 35% and
sold for $75.99. what was the original price of the
watch in dollars?
a. $26.60
c. $116.91
b. $49.39
d. $217.11
Step-by-step explanation:
it means
$75.99 = original price × 0.65 ((100-35)/100)
original price = $75.99/0.65 = $116.9076923... ≈
≈ $116.91
How many solutions does the following equation have? -4x + 2x - 5 = 3x + 7
Answer:
one solution: -12/5
Step-by-step explanation:
Solution
To find how many solutions the equation has, we have to solve for the equation first!
Step 1: Combine like terms.
[tex](-4x+2x)+(-5)=3x+7[/tex] [tex]-2x-5=3x+7[/tex]Step 2: Subtract 3x from both sides.
[tex]-2x-5-3x=3x+7-3x[/tex] [tex]-5x-5=7[/tex]Step 3: Add 5 to both sides.
[tex]-5x-5+5=7+5[/tex] [tex]-5x=12[/tex]Step 4: Divide both sides by -5.
[tex]-5x/5=12/-5[/tex] [tex]x=-12/5[/tex]Therefore, the answer is one solution
Lynn gave her nail technician a $5.40 tip. The tip was 18% of the cost of the manicure. write an equation to find b, the cost of the manicure
I'll give brainiest to whoever answers these correctly
1)The two-way table shows the results of a survey where students were asked if they were currently in elementary or middle school and if they owned a smartphone.
Of the middle school students, what is the relative frequency of those who own a smartphone? (round to the nearest percent)
2)Which of the following can you conclude from the two-way table?
A) Middle school and elementary school students are equally likely to own a smartphone.
B) An elementary school student is more likely to own a smartphone than a middle school student.
C) A middle school student is more likely to own a smartphone than an elementary school student.
D)There is no association between the student's school and owning a smartphone.
1)The relative frequency of those who own a smartphone will be 45%.
2)A middle school student is more likely to own a smartphone than an elementary school student. Option C is correct.
What is the formula for calculating the joint relative frequency?Assume you need to compute the joint relative frequency of a certain category inside a larger category.
Then there's the proportion of that specific category's frequency to the total frequency of that large category.
Given data;
The total number of persons polled:
⇒216 (26 + 84 + 72 + 34)
⇒216
The number of persons who own a smartphone is calculated as follows:
⇒26 + 72
⇒98
The relative frequency of those who own a smartphone is calculated as;
[tex]\rightarrow\frac{98}{216} \times 100 \\\\ \rightarrow45 \%[/tex]
Hence,the relative frequency of those who own a smartphone will be 45%
2)A middle school student is more likely to own a smartphone than an elementary school student. Because the total of the middle school is more than the elementary school.
Hence,option C is correct.
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Mia is traveling in a car at a speed of 52.8 miles per hour. How many miles will she cover in 2 hours?
Answer:
52.8*2=105.6
Step-by-step explanation:
52 I'm per hour means in two hour she travels double times that is 105.6 miles per hour
Find the mean, median, mode, and range of the following data with and without outliers.
110, 64, 23, 95, 86, 17, 23, 100, 95, 67
HELP. td is the last day to finish hmw and I'm behind :,)
Answer:
mean: 68
median: 76.5
mode: 23, 95
range: 93
Step-by-step explanation:
Put numbers in order:
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
mean: sum of the terms / number of terms
sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680
number of terms: 10
680 / 10 = 68
median: number of terms / 2
10 / 2 = 5, 5th number on the list
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
between 67 and 86 since its an even number data set
67 + 86 / 2 = 76.5
mode: the most occurring number
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
- 17, 64, 67, 86, 100, 110 has 1 each
- 23 has 2
- 95 has 2
23 and 95 have the same reoccurring amount
range: max - min numbers
17, 23, 23, 64, 67, 86, 95, 95, 100, 110
110 - 17 = 93
NO outliers
Hope this helps you a little more for your last day of finishing hmw :)
Let me know if you need anymore help !
OR have questions