The change in the temperature during these three hours will be -4.2° Celcius.
How to calculate the value?From the information, the air temperature at 9am is -5.8 degrees Celsius and the air temperature at noon is -1.6 degree.
Therefore, the change in the temperature during these three hours will be:
= -5.8 - (-1.6)
= -5.8 + 1.6
= -4.2° Celcius
Therefore, the change in the temperature during these three hours will be -4.2° Celcius.
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n–52=12 answer plssss
n-52=21
n+52=+52
N=72
dk cnfn evf djokfwdvi jdvofjoirvuowe0pwv
Answer:
n = 64
Step-by-step explanation:
Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other.
Add 52 to both sides of the equation:
n - 52 (+52) = 12 (+52)
n = 12 + 52
n = 64
n = 64 is your answer.
~
28÷x=168
What is the value of "x"
You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment? (Round your answer to two decimal places.)
The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.
To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.
Let's assume the maximum price you can offer for the home is P dollars.
According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:
\(0.17P = $14,000\)
To solve for P, divide both sides of the equation by 0.17:
P = $14,000 / 0.17
Calculating this expression, we find:
P ≈ $82,352.94
Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.
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PLEASE HELP !!! I NEED THE ANSWER IN THE NEXT HOUR
This is not a prime factorization.
The correct prime factorization is \(2^5*3*5^4*11^2\)
=======================================================
Further Explanation:
The expression your teacher gave you is not a prime factorization because the 8 isn't prime.
8 = 2*2*2 = \(2^3\)
If we replace 8 with \(2^3\), then we go from
\(2^2*3*5^4*8*11^2\)
to
\(2^2*3*5^4*2^3*11^2\)
and that rearranges to
\(2^2*2^3*3*5^4*11^2\)
Then we can simplify the \(2^2*2^3\) portion to get \(2^5\) since we add the exponents while keeping the base '2' the same.
We therefore end up with
\(2^5*3*5^4*11^2\)
as the correct prime factorization. Each base (2,3,5,11) is a prime number.
---------------
As a check, use your calculator to type in
2^2*3*5^4*8*11^2
and also
2^5*3*5^4*11^2
and you should get the result of 7,260,000 each time. Since we get the same result, this confirms 2^2*3*5^4*8*11^2 = 2^5*3*5^4*11^2
3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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HELP I WILL MARK BRAINLIEST!!!
Sammy deposited $2 into a savings account. She then saves $1 per week. Write a linear function for this situation where x = the number of weeks and y = the total amount of money in the account.
Answer:
\(y = 2 + x\)
Step-by-step explanation:
x=0, y=2
x=1, y=3
x=2, y=4
x=3, y=5
Which point on the number line represents two and one-half degrees below zero?
A. point A
B. point B
C. point C
D. point D
Answer:
B
Step-by-step explanation:
Answer:
it would be D because it didn't say one and one-half it said two and one-half
Please pick me for brainlyest
The price of 11 critons and 3 fragrant wood apples is 34 units. The price of 3 critons and 11 fragrant wood apples is 50 units. Find the price of a criton and the price of a wood apple.
Answer:
the first one is: the critons price is 2 and the vood apples is 4. the second one is the price of critons is 9 and the wood apples is 3 thanks
Step-by-step explanation:
pls give thanks and brainliest
witch value of x makes this eqation true -12x-2(x+9)=5(x+4)
Answer:
x = -2
Step-by-step explanation:
Dawn Reynolds purchased six quarts of motor oil for $14.12. What is the unit price per quart rounded to the nearest cent?
Tom wants to buy a bike and wants a loan of $2,500. The bank gives him the loan at a rate of 6% simple interest per annum. If Tom returns the amount after two years, how much money does he return to the bank?
After two years, the amount that Tom returns to the bank for the bike loan is $2,800 at 6% simple interest.
What is simple interest?Simple interest is based on a non-compounding interest system.
With simple interest, the accumulated interest is not added to the principal before computing the next period's interest.
Simple interest does not operate like compound interest, which adds the accumulated interest to the principal and computes interest on the result.
The amount of the loan for the bike purchase = $2,500
Simple interest rate = 6%
Period of loan = 2 years
The amount returned to the bank after two years = $2,800 [$2,500 + ($2,500 x 6% x 2)}
Thus, Tom will repay the bank $2,800 for his loan of $2,500 at 6% simple interest.
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Select the correct answer.
Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per person to at least 10 guests. She found some miniature stuffed animals for $6.00 each and some toy trucks for $4.00 each.
Which system of inequalities represents this situation, where x is the number of stuffed animals and y is the number of toy trucks?
A.
6x + 4y ≤ 50
x + y ≤ 10
B.
6x + 4y ≤ 50
x + y ≥ 10
C.
6x + 4y ≥ 50
x + y ≤ 10
D.
6x + 4y ≥ 50
x + y ≥ 10
Answer: B. 6x + 4y ≤ 50 x + y ≥ 10
Step-by-step explanation: To represent this situation with a system of inequalities, we need to consider two constraints: the budget and the number of guests.
The budget constraint is that the total cost of the party favors should not exceed $50. Since each stuffed animal costs $6 and each toy truck costs $4, the total cost can be expressed as 6x + 4y, where x is the number of stuffed animals and y is the number of toy trucks. To satisfy the budget constraint, we need 6x + 4y to be less than or equal to 50. This gives us the first inequality: 6x + 4y ≤ 50.
The number of guests constraint is that Laura wants to provide at least one party favor per person to at least 10 guests. This means that the total number of party favors should be greater than or equal to 10. Since each party favor is either a stuffed animal or a toy truck, the total number of party favors can be expressed as x + y, where x and y are the same as before. To satisfy the number of guests constraint, we need x + y to be greater than or equal to 10. This gives us the second inequality: x + y ≥ 10.
Therefore, the system of inequalities that represents this situation is:
6x + 4y ≤ 50 x + y ≥ 10
Hope this helps, and have a great day! =)
You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable preliminary estimation for the population proportion. You would like to be 99% confident that you estimate is within 4% of the true population proportion. How large of a sample size is required?
Show your work please I don't understand this
Given that,
\hat p= 0.5 ( assume 0.5)
1 - \hat p = 1 - 0.5= 0.5
margin of error = E = 4% = 0.04
At 95% confidence level the z is ,
\alpha = 1 - 95% = 1 - 0.95 = 0.05
\alpha / 2 = 0.05 / 2 = 0.025
Z\alpha/2 = Z0.025 = 1.960 ( Using z table )
Sample size = n = (Z\alpha/2 / E)2 * \hat p * (1 - \hat p )
= (1.960 / 0.04)2 * 0.5 * 0.5
= 600.25
Sample size =601
what is (1/2 + isqrt3/2)^5?
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
A town has a population of 3000 people. It is growing at a rate of 12% per year. What will the population be after 25 years
Answer:
3840
Step-by-step explanation:
1.12 times 25 is 28
1.28 times 3000
The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in temperature globally Levels of carbon dioxide gas are on the rise Levels of methane gas are on the rise Glacial ice is melting Antarctic and Artic sea ice is melting Which statement best explains the significance of this empirical evidence?
a
It provides a hypothesis for the climate of the past.
b
It provides data for science journals and textbooks.
c
It supports the scientific explanation for global warming.
d
It predicts future weather patterns.
Answer:
C. It supports the scientific explanation for global warming.
Explanation:
The listed pieces of empirical evidence support the scientific explanation for global warming. Global warming is the long-term heating of Earth's climate, and the increase in levels of carbon dioxide and methane is the reason why glacial ice in the Antarctic and Arctic sea is melting.
These pieces of evidence don't deal with the past of the future. They tell us what is going on right now. Based on them, we could make an assumption about what is going to happen in the future, but there are no predictions here.
Also, this data can be used for science journals and textbooks, but that purpose is not expressed here.
This leaves us with option C as the correct one.
Suppose that X is a random variable with probability function x 0 1 2 3 4 5 P(x) 0.00032 0.0064 0.0512 0.2048 0.4096 0.32768 and that the random variable Y = 9X2 − 36X + 4. (a) What is the range of Y ? (b) Calculate P{Y = 4}. (c) Calculate P{Y = 0}.
(a) For each value of X we have:
\(X=0\quad\Rightarrow\quad Y=4\\\\X=1\quad\Rightarrow\quad Y=-23\\\\X=2\quad\Rightarrow\quad Y=-32\\\\X=3\quad\Rightarrow\quad Y=-23\\\\X=4\quad\Rightarrow\quad Y=4\\\\X=5\quad\Rightarrow\quad Y=49\)
so the range of Y = {-32, -23, 4, 49}
(b)
\(P\{Y=4\}=P\{X=0\}+P\{X=4\}=0.00032+0.4096=\boxed{0.40992}\)
(c)
Y cannot equal 0, so
\(P\{Y=0\}=0\)
The answer is 10^-2/3+5
Answer:
k
Step-by-step explanation:
una pelota es lanzada horizontalmente desde la altura y llega al suelo a 45 m de la base del edificio ¿cuál fue la rapidez inicial de la pelota?
Answer:
9,5 ms porque es la distancia inicial de la caída de los objetos en la tierra
The conversion of ammonium cyanide to urea is a second-order reaction. This means that the concentration C of ammonium cyanide at time t is given by 1/C = kt + 1/C0, where C0 is the initial concentration and k is the rate constant. Assume the initial concentration is known to be 0.1 mol/L exactly. Assume that time can be measured with negligible uncertainty.
a. After 45 minutes, the concentration of ammonium cyanide is measured to be 0.0811 ? 0.0005 mol/L. Estimate the rat? constant k, and find the uncertainty in the estimate.
b. Use the result in part (a) to estimate the time when the concentration of ammonium cyanide will be 0.0750 mol/L, and find the uncertainty in this estimate.
Answer:
your answer could be A
Step-by-step explanation:
Helppppppppp due in 5 mins plz
Answer:
ok
Step-by-step explanation:k
Answer:
Tap on a clip to paste it in the text box.
Find the vertex of this parabola:
y = -x2 - 4x - 2
\(===============================\)
In order to find the vertex of a parabola, we use the following formula:
\(\bold{\displaystyle\frac{-b}{2a} }}\)
Remember, a parabola looks like so:
\(\tt{y=ax^2+bx+c}\)
Now we know what a and b stand for.
In this case, b is -4, and a is -1:
\(\hookrightarrow\sf{\displaystyle\frac{-(-4)}{2(-1)}\)
Simplify:
\(\hookrightarrow\sf{\displaystyle\frac{4}{-2} }}\)
Divide:
\(\hookrightarrow\sf{-2}\)
\(===================================\)
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge is power!Answered by:\(\mathbb{DiAmOnD}\\{\boxed{An~Emotional~And~Creative~Helper}}}}\)
An urn initially contains a single red ball and a single green ball. A ball is drawn at random, removed, and replaced by a ball of the opposite color, and this process repeats so that there are always exactly two balls in the urn. Let Xn be the number of red balls in the urn after n draws, with X0 = 1. Specify the transition probabilities for the Markov chain {Xn}.
The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.
The transition probabilities for the Markov chain are as follows:
If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.
If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.
If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.
So, the transition probabilities can be represented in a transition matrix as follows:
P = [ [0, 1, 0],
[0.5, 0, 0.5],
[0, 1, 0]
]
This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.
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Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x)= sqrt of x [0,9]
c =
Answer:
9/4
Step-by-step explanation:
f(x) is continuous and differentiable on (0,9).
We want to find c using the following equation.
f'(c)=(f(9)-f(0))/(9-0)
This will require us to find f'(x) first.
f(x)=sqrt(x) is the same as f(x)=(x)^(1/2)
Using power rule to differentiate this gives f'(x)=(1/2)(x)^(1/2-1) or simplified f'(x)=(1/2)x^(-1/2) or f'(x)=1/(2x^(1/2)).
So we want to solve:
(1/2)c^(-1/2)=(f(9)-f(0))/(9-0)
Simplify denominator on right:
(1/2)c^(-1/2)=(f(9)-f(0))/9
This will require us to find f(9) and f(0).
If f(x)=sqrt(x), then f(9)=sqrt(9)=3 and f(0)=sqrt(0)=0.
So we have the following equation so far:
(1/2)c^(-1/2)=(3-0)/9
Simplify numerator on right:
(1/2)c^(-1/2)=3/9
Multiply both sides by 2:
c^(-1/2)=6/9
Raise both sides to the -2 power:
c^(1)=(6/9)^(-2)
Note c^1=c:
c=(6/9)^(-2):
Note negative exponent means to find reciprocal of base to change exponent to opposite
c=(9/6)^2
Apply the second power:
c=81/36
Reduce by dividing top and bottom by 9:
c=9/4
This means the slope of the tangent to the curve f at x=9/4 is the same value as the slope of the secant line going through points (0,0) and (9,3).
Also 9/4 is between 0 and 9... According to the theorem we were suppose to get a value c between x=0 and x=9.
Confirmation:
Slope of the secant line is (3-0)/(9-0)=3/9=1/3.
Slope of the tangent line to curve f at x=9/4.
f'(x)=(1/2)x^(-1/2)
f'(9/4)=(1/2)(9/4)^(-1/2)
f'(9/4)=(1/2)(3/2)^(-1)
f'(9/4)=(1/2)(2/3)
f'(9/4)=1/3
They are indeed equal values (talking about the 1/3 from the secant and the tangent.)
Which choice shows (50 + 20) + 30 correctly rewritten using the associative
property and then correctly simplified?
Answer:
100Step-by-step explanation:
BIDMAS
do the bracket first
50+20=70
70+30=100
Write each phrase as an algebraic expression.
16 seconds faster than Aya’s time.
Answer:
i dont know
Step-by-step explanation:
Using Symmetry and the Empirical Rule A standardized test is approximately normally distributed with a mean score of 78 and a standard deviation of 3. Use the symmetry of the normal curve and apply the Empirical rule to answer the questions. Make a sketch of the curve to help you determine the areas. Note: You must use the Empirical Rule values 68 % , 95 % , and 99.7% in your computations. The computer calculator will not give you the correct answer. What percent of students scored less than 78? 75 % de What percent of students scored between 75 and 78? What percent of students scored between 72 and 81? Se % What percent of students scored between 69 and 75?
a. About 50% of the students scored less than 78.
b. Approximately 68% of the students scored between 75 and 78.
c. Approximately 95% of the students scored between 72 and 81.
d. Approximately 99.7% of the students scored between 69 and 75.
a) The normal curve is symmetrical, meaning that the area to the left of the mean is equal to the area to the right of the mean. Since the mean score is 78, 50% of the students scored above 78 and 50% scored below 78.
b) To apply the Empirical Rule, we will assume that 68% of the data falls within one standard deviation of the mean, which in this case is 3 points. So, 68% of the students scored between 75 and 81.
c) The percentage of students who scored between 72 and 81 can be found by subtracting the area to the left of 72 from the area to the left of 81. Using the Empirical Rule, we know that 95% of the observations are within two standard deviations of the mean, so the area between 72 and 81 is equal to 95%.
d) The percentage of students who scored between 69 and 75 can be found by subtracting the area to the left of 69 from the area to the left of 75. Using the Empirical Rule, we know that 99.7% of the observations are within three standard deviations of the mean, so the area between 69 and 75 is equal to approximately 99.7%.
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linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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A multiplication table. In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted. In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted. Look at the highlighted portions in the rows for 3 and 6. What do the two sets of numbers have in common? They both show products of multiplying by
The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A multiplication table.
In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.
In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.
Look at the highlighted portions in rows 3 and 6.
The common number in both sets will be 18.
The row labeled 6 is the multiplication of the row labeled 3 with 2.
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Answer: the person above is wrong
its 3, 4, 5, 6, and 7
Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for π.
A can of juice has a radius of 7 inches and a height of 8 inches. What is the volume of the can?
The volume of the can is about _____.
Answer:
1230.9
step by step explanation: