The amount of heat required to raise the temperature of the water from 20°C to 90°C is 585.92 kJ.
How to find required amount Heat?The specific heat capacity of water is 4.184 J/g°C. To calculate the amount of heat required to raise the temperature of the water from 20°C to 90°C, we will use the following formula:
Q = m x c x ∆T
Q = amount of heat required (in Joules)
m = mass of water (in grams)
c = specific heat capacity of water (in Joules/gram°C)
∆T = change in temperature (in °C)
Converting the mass of water from kg to g:
m = 2 kg x 1000 g/kg = 2000 g
∆T = (90°C - 20°C) = 70°C
Substituting the values into the formula:
Q = 2000 g x 4.184 J/g°C x 70°C = 585,920 J
The amount of heat required to raise the temperature of the water from 20°C to 90°C is 585,920 J.
Convert into kilojoules (kJ)
To convert the amount of heat from Joules to kilojoules, we will divide the answer by 1000.
585,920 J / 1000 = 585.92 kJ
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GIVING POINTS AND BRAINLIEST!!!
Step-by-step explanation:
biggest circle option C, hope it helps radius = 6 inches
Let x (t) = 5 cos(2π(400)t +0.5π) + 10 cos(2π(500)t – 0.5π). Find the Nyquist rate of x(t).
how long does mail delivery take? in a review of a mail delivery company, the reviewers would like to examine if there is an association between the weight of the package and the delivery time (the time for the package from pickup to delivery).
The delivery time for mail varies depending on several factors, including the weight of the package.
The delivery time for mail can range from a few hours to several weeks, depending on the type of service you choose. For instance, if you opt for express delivery, your package will be delivered faster than regular mail.
Moreover, the weight of the package can also have an impact on the delivery time. Typically, heavier packages take longer to deliver than lighter ones since they require more time and resources to handle and transport.
However, it's worth noting that the delivery time for mail is not solely dependent on the weight of the package. Other factors, such as the distance between the sender and recipient, the mode of transportation, and the efficiency of the delivery company, can also affect the delivery time.
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Thomas Johnson, age 42, had contributed to Social Security for the past 22 years
while working for Ace Construction Company when he became disabled and
decided to take disability retirement. Ace Construction Company's expected
retirement age is 60. His rate of benefits is 2.00% and his final average salary is
$37,850. Find his annual disability benefit and his monthly disability benefit.
Thomas Johnson's annual disability benefit is $1,103.66 and his monthly disability benefit is $91.97.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We know that Disability Benefit = (Average Monthly Earnings x Benefit Rate x Years of Service) / 12
Average Monthly Earnings is the final average salary divided by 12
Benefit Rate is 2.00%, or 0.02
Years of Service is the number of years Thomas has contributed to Social Security
Let us find Average Monthly Earnings:
Average Monthly Earnings = $37,850 / 12 = $3,154.17
Now calculate Thomas Johnson's annual disability benefit:
Annual Disability Benefit = ($3,154.17 x 0.02 x 22) / 12 = $1,103.66
Now, Monthly Disability Benefit = $1,103.66 / 12 = $91.97
Therefore, Thomas Johnson's annual disability benefit is $1,103.66 and his monthly disability benefit is $91.97.
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What is 35% of 78?
-8 + x - 4 + 9x
Need help
Answer:
Step-by-step explanation:
-8+x-4+9x = -8-4+x+9x
= -12+10x
PLEASE MARK BRAINLIEST.
What is 2% administrative fee on $16,251
Answer:
$325.02
Step-by-step explanation:
What is 2% administrative fee on $16,251?
2% = 0.02
We Take
16251 x 0.02 = $325.02
So, 2% administrative fee on $16251 is $325.02
What is the slope for the following:
3x + 2y = 12
Answer:
slope = - \(\frac{3}{2}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 2y = 12 ( subtract 3x from both sides )
2y = - 3x + 12 ( divide all terms by 2 )
y = - \(\frac{3}{2}\) x + 6 ← in slope- intercept form
with slope m = - \(\frac{3}{2}\)
how is solving |ax| + b = c different from solving |ax+b| = c?
Step-by-step explanation:
they are different because the first equation only ax is in absolute but in the second equation both ax and b are in absolute, so we could solve them differently.
why would you use a trigonometric function to set-up an application problem instead of a non-trigonometric function
Trigonometric functions are used to model relationships between angles and sides of a right triangle. They are particularly useful in solving problems that involve angles, distances, heights, and lengths that are difficult to measure directly.
For example, consider a problem that involves finding the height of a building. By measuring the length of the shadow cast by the building at a particular time of day, the angle of the sun's rays can be calculated using trigonometry. Once the angle is known, the height of the building can be determined using the tangent function.
In contrast, a non-trigonometric function may not be able to model the relationship between the given quantities in such problems, and may not provide an accurate solution. Therefore, when a problem involves angles or distances that are not directly measurable, trigonometric functions are typically the best tool for setting up and solving the problem.
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i need some help, can anyone help me out ?
evaluate f(x)=9x+3 when x=5
Answer:
Step-by-step explanation:
when x=means that you have to put your x into your f(x).
So f(5)=9(5)+3
= 45+3
=48
So f(5)=48
Given:-
\( \sf \: x = 5\)
\( \: \)
Solution:-
\( \sf \: f ( x ) = 9x + 3\)\( \: \)
now put the value of x = 5 in equation :
\( \sf \: f ( 5 ) = 9( 5 ) + 3\)\( \: \)
\( \sf \: f ( 5 ) = 45 + 3\)\( \: \)
\( \fbox{\sf \purple{ f ( 5 ) = 48}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps:)
find the exact value of 2sin30 cos30
Answer:
\(\frac{\sqrt{3}}{2}\)
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
\(sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}\)
Now we just multiply all the together and we get:
\(2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}\)
Iq scores are known to be normally distributed. the mean iq score is 100 and the standard deviation is 15. what percent of the population has an iq over 115?
The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115
According to the statement
we have to find that the what percent of the population has an iq over 115.
And from given information,
the mean iq score is 100 and the standard deviation is 15.
And
Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
And by use of this formula, we find the percentage of the population has an iq over 115.
Then the result will comes as 100%.
hence, 100%-Norm.Dist(value,mean,sd,true)
So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.
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A'B'C' is a rotation of ABC 90 degrees about the orgin. What is the length of A'C'?A. 7 unitsB. 5 unitsC. 12 unitsD. 3 units
We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.
We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:
\(\begin{gathered} AB=A^{\prime}B^{\prime} \\ AC=A^{\prime}C^{\prime} \\ BC=B^{\prime}C^{\prime} \end{gathered}\)This means that the length of A'C' is 5 units, as this is the length of the segment AC.
Answer:
5 units
Step-by-step explanation:
I got it right on the test.
what is the surface area of the rectangular prism? length=12, height=6, and width=13
Solve for x.
3x² -10 = -5
Answer:
first one is the correct answer
The local approximation to the function g at x=1/2 is y=4x+1. What is the value of g(1/2) + g'(1/2)?
Given :
The local approximation to the function g at x = 1/2 is y = 4x+1.
To Find :
The value of g(1/2) + g'(1/2).
Solution :
It is given that at g( y ) = 3x + 1 , at x = 1/2.
Differentiating g( y ) w.r.t x ,we get :
g( y )' = 3
So, g( y ) + g( y' ) = 3/2 + 1 + 3
g( y ) + g( y' ) = 11/2
Hence, this is the required solution.
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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HELP ME PLSSSSS I NEED HELP
The wrapping paper area needed to create the gift box is equal to 358 square feet.
How to determine the area of the wrapping paper needed to create a gift box?
In this problem we need to determine the area of the wrapping paper, needed to create a gift box in the form of a right rectangular prism, whose area is the sum of six rectangular sections, the area formula of a rectangle is equal to:
A = w · h
Where:
w - Width, in feeth - Height, in feetA - Area, in square feet.The area of the wrapping paper is now calculated:
A = 2 · (5 ft) · (7 ft) + 2 · (12 ft) · (5 ft) + 2 · (7 ft) · (12 ft)
A = 70 ft² + 120 ft² + 168 ft²
A = 358 ft²
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Find the domain and range of the following function ƒ(x) = 5|x - 2| + 4
Answer:
this is the answer fod this lroblsm
Which of the following statements about listening is true? • a. Effective listening is vital to success in selling. b. Visual aids play no part in the listening process. c. People can talk approximately twice as fast as they can listen. d. You should listen closely to everything you hear. e. Listening refers to the process of trying to detect sounds.
All of the following statements are true:
a. Effective listening is vital to success in selling.
b. visual aids play a part in the listening process.
c. people can talk approximately twice as fast as they can listen.
d. you should listen closely to everything you hear.
e. listening refers to the process of trying to detect sounds.
Listening is the act of paying attention to sounds that are happening around you. It involves both hearing the sounds and interpreting what they mean. Good listening skills are important for many reasons, including being able to communicate effectively with others and understand instructions. To listen effectively, you need to be able to focus on the speaker and try to understand their perspective, rather than just waiting for your turn to talk.
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Please help me With this question!!!
The solution is, the finally discounted price is 71.5.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
sale price = 90
15% discount, so, the price = 90* 85%
=76.5
now, after 5 discount, price became = 76.5 - 5
= 71.5
Hence, The solution is, the finally discounted price is 71.5.
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TRUE / FALSE. roofs having a span of 40 feet or less and a pitch of ? or greater, and roofs having a span of more than 40 feet and a pitch of 1/4 or greater are considered to be pitched.
The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.
In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.
According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.
Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.
The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.
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Using an example, outline the steps involved in performing a
Wald test to test significance of a sub-group of coefficients in a
multiple regression model.
The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.
The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.
Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:
Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)
If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.
The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.
Here are some of the assumptions of the multiple regression model:
* The independent variables are independent of each other.
* The dependent variable is normally distributed.
* The errors are normally distributed.
* The errors have constant variance.
If any of these assumptions are not met, then the Wald test may not be accurate.
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consist a right angled triangle PQR right angled at P such that PQ is 6 cm and PR is 8 cm measure PR
Answer:
10
Step-by-step explanation:
by Pythagoras theorem,
PR^2=PQ^2+PR^2
Therefore,PR=√(PQ^2+PR^2)
=√(6^2+8^2)
=√100
=10
If the probability of an event occurring is 0.64. what is the probability of
the complement of that event?
O 16/25
O 9/25
0.46
O
1
Answer:
9/25
Step-by-step explanation:
1-0.64=0.36
0.36≡9/25
Match this system of linear equations to the correct description of its solution set.
y= 2x + 7
y= 2x - 7
A) one solution
B) no solutions
C) an infinite amount of solutions
If P(B)=0.3,P(A∣B)=0.5,P(B ′ )=0.7, and P(A∣B ′ )=0.8, find P(B∣A).
If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113
To find the value of P(B|A), follow these steps:
The probability of B given A can be given by the product of the probability of A given B and the probability of B, divided by the total probability of B. So, the formula for P(B|A) = P(A|B) * P(B) / [P(A|B)*P(B)+P(A|B')*P(B')]. Substituting the values, we get P(B|A) = (0.5) (0.3) / [(0.5) (0.3) + (0.8) (0.7)] ⇒P(B|A) = 0.15 / [0.15 + 0.56] ⇒P(B|A) = 0.15 / 0.71 ⇒P(B|A) = 0.2113. Therefore, P(B|A) = 0.2113.Learn more about probability:
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Find the value of 3x²+2x+5, if x = -7.OA. 138B. -156C. 33D. 432E. 154
Given:
\(3x^2+2x+5\)To Determine: The value of the expression when x = - 7
Solution
Substitute x = -7 into the expression
\(\begin{gathered} 3x^2+2x+5 \\ =3(-7)^2+2(-7)+5 \\ =3(49)-14+5 \\ =147-9 \\ =138 \end{gathered}\)Hence, the value of the expression is 138, OPTION A
Solve each equation by finding square roots. 5x²-40=0 .
So the solutions to the equation 5x² - 40 = 0 are x = 2√2 and x = -2√2.
To solve the equation 5x² - 40 = 0 by finding square roots, follow these steps:
Step 1: Move the constant term to the other side of the equation:
5x² = 40
Step 2: Divide both sides of the equation by 5 to isolate the variable:
x² = 8
Step 3: Take the square root of both sides of the equation:
√x² = √8
Step 4: Simplify the square root on the left side:
x = ±√8
Step 5: Simplify the square root on the right side:
x = ±2√2
So the solutions to the equation 5x² - 40 = 0 are x = 2√2 and x = -2√2.
Note: I have provided the solution in the exact form with the square root. If you need to approximate the values, you can use a calculator to find the decimal approximation.
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