The amount of natural gas needed to heat the house each hour is \(60 feet^2\) per hour.
To find the volume of natural gas required per hour to heat the home, we first need to calculate the total amount of energy required per hour:
The energy required per hour = power per unit area x area of the home
= 20 BTU/1 \(ft^2 hour * 3000 ft^2\)
= 60,000 BTU/hour
Now, we can convert this to the volume of natural gas required per hour by dividing it by the energy provided by one cubic foot of natural gas:
The volume of natural gas required per hour = energy required per hour/energy provided per cubic foot
= 60,000 BTU/hour / 1000 BTU/cubic foot
= 60 cubic feet per hour
Therefore, the volume of natural gas required per hour to heat the home is \(60 ft^3/hour\), which corresponds to option (a).
The complete question is:-
an older, poorly insulated home in the US is in a moderate climate and is roughly 3000 \(ft^2\). This home requires 20 BTU/1 \(ft^2\) hour of power for heating during the winter. one cubic foot of natural gas provides about 1000 BTUs of energy.
Which of the following volumes of natural gas per hour is required to heat the home?
a) 60 \(ft^3\) natural gas/ hour
b) 150 \(ft^3\) natural gas/hour
c) 60000 \(ft^3\) natural gas/hour
d) 150000 \(ft^3\) natural gas/hour
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Solve 3[-x + (2 x + 1)] = X-1.
X =
Answer:
-2
Step-by-step explanation:
took the test
please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answer:
I think its C
Step-by-step explanation:
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000 miles and a standard deviation of 8,300 miles. What proportion of these tires last between 40,000 and 45,000 miles
Answer:
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
Step-by-step explanation:
P [ 40000 ≤ X ≤ 45000 ] = ?
To find the probablity P [ X ≤ 40000 ] = ?
z(s) = ( X - x ) / σ
z(s)= ( 40000 - 6000 )/ 8300
z(s) = -20000/8300
z(s) ≈ - 2,41
Then
from z-table we find P [ X ≤ 40000] = 0,00820
Now again:
For P [ X ≤ 45000 ]
z₂ = ( X - x ) / σ
z₂ = ( 45000 - 6000 ) / 8300
z₂ = - 15000 / 8300
z₂ = - 1,8072
z₂ ≈ 1,81
From z - table
For P [ X ≤ 45000 ] = 0,03593
Then:
P [ 40000 ≤ X ≤ 45000 ] = 0,03593 - 0,00820
P [ 40000 ≤ X ≤ 45000 ] = 0,02773 or 2,8 %
find the values of x and y
Answer:
y = 60°
x = 12
Step-by-step explanation:
Because all sets of opposite sides are parallel, opposite angles are equal, and opposite sides have the same length.
total area of 3 figures
Given dimensions:
x=31 feet, y= 24 feet and z= 95 feet
We can split the shape above into 3 components: A, B, and C
To find the total area, we will find the sum of the areas of each component
For A
The shape of A is that of a semi-circle.
The area of a semi-circle is given to be
\(\text{Area}=\text{ }\frac{1}{2}\text{ x }\pi r^2\)The radius will be the diameter divided by 2
y= diameter
r= radius = y/2
r=24/2 =12 feet
pi=3.14
\(\begin{gathered} \text{Area}=\frac{1}{2}\text{ x 3.14 x 12 x 12} \\ \text{Area}=226.08\text{ ft}^2 \end{gathered}\)For B
The shape is a rectangle
The area of a rectangle is given by
A = l x b
where l = 31 and b = 24
Area = 31 x 24
Area = 744 square feet
For C
The shape is a triangle
The area of the triangle is given by
\(A=\frac{1}{2}\text{ x base x height}\)base = 64 feet, height = 24 feet
\(\text{Area}=\frac{1}{2}\text{ x }64\text{ x 24 =768 ft}^2\)The total area is
22
A bag of pennies weighs 5.1 kilogram. Each penny weighs 2.5 grams. About how many
pennies are in the bag?
20
200
2.000
20,000
Answer: would be about 2000
When should the IQR should be used to measure variance?
Select one:
When an outlier exists.
When data is gathered from a sample of the population.
When a data set does not have an outlier.
When the data set includes decimal values.
Answer:
When an outline exists.
Step-by-step explanation:
As compared to the range, the interquatile range is somewhat resistant to the outliers. This is because the interquartile range itself is not always affected by the outliers if they lie at both ends of the data sets.
The IQR only describes the range of the middle 50% of the values in a data set, which is calculated as the difference between the 75th and 25th percentile values.
It also helps in the identification of these outliers using mild outliers being those values lower than the 25th quartile minus 1.5×IQR, or those values greater than the 75th quartile plus 1.5×IQR.
a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a square dance. What is the greatest number of sets possible at the dance?
Given:
1 set requires 4 couples 8 dancers.
Total number of people at a square dance = 250.
To find:
The greatest number of sets possible at the dance.
Solution:
We have,
Total people = 250
1 set = 8 people.
\(\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}\)
\(\text{Number of possible sets}=\dfrac{250}{8}\)
\(\text{Number of possible sets}=31.25\)
Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.
\(\text{Number of possible sets}\approx 31\)
Therefore, the number of possible sets at the dance is 31.
A person is selected at random. A is the event “the person selected earns more than $100,000 per year” and B is the event “the person selected earns more than $250,000 per year.”
The pairs of events, A and B, that are disjoint include option A and B.
What are disjoint events?It should be noted that disjoint events simony means the events that are mutually exclusive as they can't occur at the same time.
For option A, because a person can be either male or female but not both, events A and B are disjoint.
For B, because the person already earns more than $100,000, events A and B are not disjoint.
For C, because the sum of two dice cannot be three when one die is three, events A and B are disjoint.
Therefore, A and C are disjoint.
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Complete question
Which of the following pairs of events, A and B, are disjoint?
(a) A person is selected at random. A is the event "sex of the person selected is male" and B is the event "sex of the person selected is female."
disjoint / not disjoint
(b) A person is selected at random. A is the event "the person selected earns more than $100,000 per year" and B is the event "the person selected earns more than $250,000 per year."
disjoint / not disjoint
(c) A pair of dice are tossed. A is the event "one of the dice is a 3" and B is the event "the sum of the two dice is 3."
disjoint / not disjoint
helpoppppollpppppppppppppppppppppp
Answer:
Given:
1 mile = 1.6 km
So, to find how many miles are in 100 km, we need to divide 100km by 1.6km because one single mile contains 1.6km.
100km/1.6km = 62.5 miles
PLEASE ANSWER THIS ASAP. PLEASE INCLUDE STEP BY STEP EXPLANATION!!!
Last night, troy spent 1 2/5 hours doing his math homework, then 45 minutes on his science homework. what was the total time spent on doing homework?
Answer: 129 minutes in total
Step-by-step explanation:
1 2/5 hours in decimal form 1.4 hours
1.4 hours = 84 minutes
84 + 45 = 129 minutes
Atoms of element B from HCP lattice and those of the element A occupy 2/3 rd of tetrahedral voids. What is the formula of the compound formed by the elements A and B?
In a hexagonal-close-pack (HCP) unit cell, the ratio of lattice points to octahedral holes to tetrahedral holes = 1 : 1 : 2 is AB3
let the :
Number of lattice point = 1x.
Number of octahedral points = 1x
Number of tetrahedral points = 2x
If anions occupy the HCP lattice points and cations occupy half of the octahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = 1x
The formula of the compound will be =
If anions occupy the HCP lattice points and cations occupy all of the octahedral and the tetrahedral holes.
Number of anions occupying the HCP lattice points, A= 1x
Number of cations occupying the octahedral points, B = x
Number of cations occupying the tetrahedral points, B = 2x
total number of cations = x + 2x = 3x
The formula of the compound will be = AB3
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Find mPMA + mCMT. Please help..
PMA = 37
CMT = 101 - 54 =47
Total = 37 + 47 = 84
Answer: A. 84
Find the measure of BC
Using central angle theorem,
The measure of the arc BC = 110°.
Define central angle?An angle with its vertex in the middle of the circle it creates with its two radii is said to be central.
Here in the question,
As per the central angle theorem:
(2x -30) ° + x° = 180°
⇒ 2x - 30 + x = 180
⇒ 3x - 30 = 180
Adding 30 on both sides:
⇒ 3x = 180 + 30
⇒ 3x = 210
Dividing both sides by 3.
⇒ x = 70°
Now BC = 2x-30
= 2 × 70 -30
= 140 - 30
= 110°
Therefore, the measure of BC = 110°.
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100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The triangles ABC and DBE are similar by the SAS similarity theorem
The measure of the side lengths AC is 16 units
How to identify the similar triangles.From the question, we have the following parameters that can be used in our computation:
The triangles ABC and DBE
These triangles have the following measures
Two similar corresponding sidesTwo equal corresponding anglesThis means that the triangles are similar by the SAS similarity theorem
How to find each measureUsing the SAS similarity theorem, we have the following equation
(x + 1)/12 = (x + 5)/15
Cross multiply the equation
15x + 15 = 12x + 60
So, we have
3x = 45
Divide by 3
x = 15
This means that
x + 1 = 15 + 1 = 16
x + 5 = 15 + 5 = 20
Hence, the measure of the side lengths are 16 and 20 units
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lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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(5x 2 −9x+11)−(−2x 2 +3x−2=
Answer = -91
step by step explanation
N:2 = 15/5 solve it for n
Step-by-step explanation:
N:2 = 15:5
N\2 = 15\ 5
Now cross multiply,
5N = 30
N = 6
Answer:
n = 6Step-by-step explanation:
N:2 = 15/5 solve it for n
n : 2 = 15 : 5
n = 2 * 15 : 5
n = 30 : 5
n = 6
---------------------
check
6 : 2 = 15 : 5
3 = 3
the answer is good
Alan borrowed $570 for a new bed. He made 9 monthly payments to repay the loan. He
paid $45 interest. What is his simple interest rate?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$45\\ P=\textit{original amount deposited}\dotfill & \$570\\ r=rate\to r\%\to \frac{r}{100}\\ t=months\dotfill &9 \end{cases} \\\\\\ 45 = (570)(\frac{r}{100})(9)\implies \cfrac{45}{(570)(9)}=\cfrac{r}{100}\implies \cfrac{1}{114}=\cfrac{r}{100} \\\\\\ \cfrac{100}{114}=r\implies \stackrel{\%}{0.88}\approx r\)
Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.
R(x) = 16x
C(x) = 12x + 1,424
At what number of gidgets sold will the company break-even (the point where revenue equals cost)?
Considering the given equations for revenue and cost, the company will break-even when 356 widgets are sold.
What is the break-even point?The break-even point is the value of x for which:
R(x) = C(x).
In this problem, the functions are:
R(x) = 16x.C(x) = 12x + 1424.Hence:
R(x) = C(x)
16x = 12x + 1424
4x = 1424
x = 1424/4
x = 356
The company will break-even when 356 widgets are sold.
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solve this answer
2/3 + 4/6
Step 1
Now we need to make our denominators match.
6 goes into 3 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
We now have a new problem, that looks like this: 4/6+4/6
Step 2
Since our denominators match, we can add the numerators.
4 + 4 = 8
That gives us the sum, which is 8/6
Step 3
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
8/6÷ 2 = 4/3
Let's try dividing by that again...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
No good. 5 is larger than 4. So we're done reducing.
There you have it! Here's the final answer to 2/3 + 4/6
Answer and I will give you brainiliest
Answer:
d=1.3t
Step-by-step explanation:
In the equation,
Distance = 1.3 times time (in seconds.)
Answer:
6.5
Step-by-step explanation:
1.3x5=6.5
brwainliest plz
Alyssa is helping to set up drinks and snacks for a luncheon.
Alyssa has 4.5 liters of lemonade to pour into pitchers. Each pitcher holds 0.9 liter of lemonade. If Alyssa pours an equal amount of lemonade into each pitcher, how many pitchers does she fill?
Alyssa drew the model below to show how many pitchers she fills.
The grids represent the amount of lemonade that Alyssa has. The lines represent Alyssa's division.
Answer in at least 2 complete sentences.
Is Alyssa's model correct?
Explain how do you know?
Answer:
Haha this isn't college Alyssa fills 5 pitchers. 4.5 divided by the liters of lemonade(0.9) equals 5 pitchers because 9x5=45 so, 4.5 liters of lemonade divided by 0.9 liters equals 5 pitchers.
Step-by-step explanation:
The paragraphs below come from the rental agreement signed by a customer when they set up an account at Super Video.
“All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.”
According the rental agreement, which of the following is not a responsibility of the customer?
a.
Pay a $1.50 late fee per movie per day past the due date.
b.
Get his or her rentals back by midnight the day they are due.
c.
Return a rental item kept out thirteen days past the due date.
d.
Pay the purchase price and five days of late fees for any item kept more than five days past the due date.
Answer:
C) Return a rental item kept out thirteen days past the due date.
Step-by-step explanation:
Right on edge2020
All rentals are due back by midnight of the due date as printed on the transaction receipt. Any rental not received by midnight on the day it is due is subject to a late charge of $1.50 for each day it is late. Any rental not returned by the fifth day after the due date will be transferred to a sale. The Customer will then be required to pay the purchase price of the item in addition to five (5) days of late fees. The Customer will not be required to return the product once the total balance is paid.
According the rental agreement, Returning a rental item kept out thirteen days past the due date is not a responsibility of the customer.
The responsibilities of the customerReturn the rentals by the due date in the receipt.To pay a late service charge once due by each day.Buy the item after the 5th day following the failure to return it.These are all the responsibilities expected of the consumer when they do not follow due process. Returning the rental after 13 days is not a responsibility here.
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Tanya wants to test the theory that the exterior angles of a
triangle add up to 360°. She draws triangle ABC and finds all
the angles in the triangle.
PLEASE HELP!!
Answer:
\(f + e + d = 360^o\)
Step-by-step explanation:
The question is incomplete, as what is required is not stated and the triangle is not given.
So, I will solve generally.
The proof is as follows (see attachment for triangle)
From the attachment, we have:
\(a + f = 180\)
\(b + e = 180\)
\(c + d = 180\)
Make f, e and d the subject
\(f = 180 - a\)
\(e = 180 - b\)
\(d = 180 - c\)
Add up the equations
\(f + e + d = 180 -a + 180 - b + 180- c\)
Collect like terms
\(f + e + d = 180 + 180+ 180-a- b - c\)
\(f + e + d = 540-a- b - c\)
We have:
\(f + e + d = 540-(a+ b + c)\)
\(a + b + c \to 180\) --- angles in a triangle
So, we have:
\(f + e + d = 540-180\)
\(f + e + d = 360^o\) --- proved
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
150 minutes
160 minutes
170 minutes
180 minutes
What are the values of a and b?
a = 0.4 and b = –0.15
a = –0.4 and b = 0.15
a = 8.6 and b = 14.25
a = –8.6 and b = –14.25
Answer: The equation for the decrease in water is given by:
W = -0.414t + 129.549
To find after about how many minutes the water level would be less than or equal to 64 cups, we can set W to 64 and solve for t:
64 = -0.414t + 129.549
-65.549 = -0.414t
t = 158.1
Rounding to the nearest 10 minutes, we get:
t = 160
Therefore, after about 160 minutes, the water level would be less than or equal to 64 cups.
Regarding the values of a and b, we can see that they are not relevant to this problem since they are not given in the equation for the decrease in water. So, none of the given options is correct.
Step-by-step explanation:
Which of the following classifies the quadrilateral shown below?
A. parallelogram
OB, rectangle
OC. rhombus
OD. trapezoid
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
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Need help quick please.
y=2x²+4x+4 and y=3x²+6x+9 are two instances for the provided standard form, y=ax²+bx+c.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A condition on a variable (or variables) such that two expressions in the variable (variables) have equal value is referred to as an equation. • The solution or root of the equation is the value of the variable for which the equation is fulfilled.
Here,
given standard form,
y=ax²+bx+c
examples of this,
y=2x²+4x+4
y=3x²+6x+9
The 2 examples for given standard form, y=ax²+bx+c is y=2x²+4x+4 and y=3x²+6x+9.
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Convert 74.8% to a fraction in simplest form and a decimal.
Fraction:
Decimal (Edit the repeating and non-repeating part):
Answer:
decimal; 0.748 fraction is: 374/5 or 74 4/5 .