Answer:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cccc}{ } & {30} & {30} & { } & {15} & {T1} &{T2} & {45} & {15} & {T3} & {T4} & {45} & {} & {60} & {60} & {} \ \end{array}[/tex]
Required
Set up 4 linear equations to solve for T1,T2,T3, andT4
From the question, we understand that each temperature is the average of the 4 surrounding temperatures.
So, we have:
For T1, the surrounding temperatures are: 30, 15, T3 and T2.
The average is:
[tex]T1 = \frac{1}{4}(30 + 15 + T3 + T2)[/tex]
[tex]T1 = \frac{1}{4}(45 + T3 + T2)[/tex]
Multiply through by 4
[tex]4T1 = 45 + T3 + T2[/tex]
Equate variables to constant
[tex]4T1 - T3 - T2= 45[/tex]
For T2, the surrounding temperatures are: T1, T4, 45 and 30.
The average is:
[tex]T2 = \frac{1}{4}(T1 + T4 + 45 + 30)[/tex]
[tex]T2 = \frac{1}{4}(T1 + T4 + 75)[/tex]
Multiply through by 4
[tex]4T2 = T1 + T4 + 75[/tex]
Equate variables to constant
[tex]4T2- T1 - T4 = 75[/tex]
For T3, the surrounding temperatures are: 60, 15, T1 and T4
The average is:
[tex]T3 = \frac{1}{4}(60 + 15 + T1 + T4)[/tex]
[tex]T3 = \frac{1}{4}(75 + T1 + T4)[/tex]
Multiply through by 4
[tex]4T3 = 75 + T1 + T4[/tex]
Equate variables to constant
[tex]4T3- T1 - T4 = 75[/tex]
For T4, the surrounding temperatures are: 60, 45, T2 and T3
The average is:
[tex]T4 = \frac{1}{4}(60 + 45 + T2 + T3)[/tex]
[tex]T4 = \frac{1}{4}(105 + T2 + T3)[/tex]
Multiply through by 4
[tex]4T4 = 105 + T2 + T3[/tex]
Equate variables to constant
[tex]4T4 - T2 - T3= 105[/tex]
So, the equations are:
[tex]4T1 - T3 - T2= 45[/tex]
[tex]4T2- T1 - T4 = 75[/tex]
[tex]4T3- T1 - T4 = 75[/tex]
[tex]4T4 - T2 - T3= 105[/tex]
Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?
Why is your amount owed considered when determining your credit score? BI U S
[tex] \sqrt{25} [/tex]
pls help i just want the answer T-T.
Answer:
5
Step-by-step explanation:
A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000
Answer:
the selling price is 18,400
Step-by-step explanation:
The computation of selling price is shown below:
Given that
The cost price of the shirts is 20,000
And, there is a loss of 1,600
So, the selling price is
= 20,000 - 1.600
= 18,400
hence, the selling price is 18,400
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees.
Answer:
the rest of the anglesss
Answer:
All together must be 180 but i dont know how to solve that
The checker piece near the middle of the board can move diagonally in any directions between shaded squares. On how many different squares can the piece be located at the end of one turn?
URGENT I REALLY NEED HELP ANYONE? PLEASE
Find the area (in square inches) of the parallelogram.
Step-by-step explanation:
2 ft = 24 inch
3 ft = 36 inch
area of parellogram = base × height = 24 × 36 = 864 inches²MARK ME AS BRAINLISTPLZ FOLLOW MEan arfican elephant weighs 6 tons what is the weight of the elephant in pounds? 2000 pounds = 1 ton
Without making any calculations, which data set has the smallest standard deviation?
O 1, 1, 2, 2, 3,3
O 1, 3,5
O 0, 1, 5, 6, 9, 10
O 1, 1, 1, 1, 2, 2, 2, 2
Answer:
the last set: {1, 1, 1, 1, 2, 2, 2, 2}
Step-by-step explanation:
Notice the smallest standard deviation will come from the addition of the differences between the average value and each individual number in the set.
We notice that there is one set where all values are very close to the average . This is the set:
{1, 1, 1, 1, 2, 2, 2, 2} whose clear average is 1.5 , and therefore the deviations from the mean will produce contributions of 0.5 for each of the elements.
Find the missing sides to the triangle seen below.
Answer:
95
Step-by-step explanation:
you got to eat it and then division then multiple
Answer:
95
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
I need more info to answer this question.
Step-by-step explanation:
According to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000. In Fall 2014, the enrollment was 17.3 million students. Assuming this relationship grows linearly, write a linear function that models the undergraduate enrollment in postsecondary institutions
x years after 2000
Answer:
13.2 + 0.292X = Y
Step-by-step explanation:
Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:
2014-2000 = 14
17.3 - 13.2 = 4.1
4.1 / 14 = 0.292
Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:
13.2 + 0.292X = Y
HELP EMERGANCY FAST ANSWERS TIME LIMIT
Assume Sheila's nominal salary increases from $42,000 in 2003 to $69,000 in 2004.
If the Deflator increased from 106 in 2003 to 109 in 2004 and the CPI increased
from 184 in 2003 to 190 in 2004, what was Sheila's percentage increase in real
income?
6
Answer:
E)
Step-by-step explanation:
1 - (69,000 / 42,000) = .64285 * 100% = 64.3%
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
Find the value of xxx in the triangle shown below
Question: Find the value of xxx in the triangle shown below
Answer: Pg.21607062
Brainly.com
2-19-21
Answer:
x = 70
Step-by-step explanation:
1.99 ÷ 3 =
2. 125 ÷ 5 =
3. 288 ÷ 36=
4. 540 ÷ 12=
5. 999 ÷ 111=
pls answer ngayon ko na po ito ipapasa explain the answer
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
5 a) 22.6
b) 67.8
6 a) 9 miles
b) 18 miles
7. Alicia
Hope this helps pls mark me brainliest thx that took me ages
Find the slope of the line passing through each of the following pairs of points. (0,0) (4,3)
Answer:
Step-by-step explanation:
Slope or m is defined as
m=(y2-y1)/(x2-x1) in this case
m=(3-0)/(4-0)
m=3/4
Let FICA tax rates be 7.65% on the first $127,200 of income from wages, and 1.45% on any income from wages in excess of $127,200. Her FICA tax is?
Answer:
The tax is split between employers and employees. They both pay 7.65% (6.2% for Social Security and 1.45% for Medicare) of their income to FICA, the combined contribution totaling 15.3%. The maximum taxable earnings for employees as of 2020 is $137,700.
Correct me if you want If its wrong
v= u + at, find v, when u = 12, a = 5 and t = 7
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
WILL GIVE BRAINLIEST!!
In this lesson, you will learn more about the properties and characteristics of triangles and.
rectangles
cylinders
rhombii
circles
Answer:
rectangles
Step-by-step explanation:
Answer:
rhombii
Step-by-step explanation:
Pls tell me the rest of the angles. Angle 1 is 112.9 degrees
1. 112.9
2. 67.1
3. 112.9
4. 67.1
hope that helped^^
Simplify to a single power of 5
Answer:
7
Step-by-step explanation:
multiplying exponents adds them together... 5+2=7
Write the fraction in lowest terms.
14/37
Answer:
14/37
Step-by-step explanation:
14/37 is already in the simplest form. It can be written as 0.378378 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 14 and 37 is 1
Divide both the numerator and denominator by the GCD
14 ÷ 1
37 ÷ 1
Reduced fraction:
14/37
Therefore, 14/37 simplified to lowest terms is 14/37.
This year 0.3 of the x students at Mega Middle School are in 7th grade. There are 294 students in 7th grade.
Answer:
is that even a question ?
Step-by-step explanation:
3/10x=294
x=294*10/3
x=980 students
if you found my answer helpful please mark as brainliest.
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
what is the solution f/4 = 12/5
Step-by-step explanation:
cross multiply
4(12) = 5f
48 = 5f
48/5 = f
9 3/5
Plz help I’m stuck on this question
Answer:
the answer is C
Step-by-step explanation:
bhl
2
i hope it will help you
Mr. Morales owns a tour bus company and just received the news that fuel prices are going to increase by 125% it is currently $3.40 per gallon what will the cost per cost per gallon after the increase
Answer:
Step-by-step explanation:
Your answer
Let me think. 125 %,,,. So 1.25* 3.4= 4.25
New price = 7.65
Mark it as Brainlist answer. Follow me.
A math teacher was frustrated at the number of students leaving their graphing calculator behind in her classroom at the end of class without a way to locate the student. A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
Required:
What would be a 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators?
Answer:
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
A random sample of 50 students is selected, and of the students questioned, 32 had their names written on their graphing calculators.
This means that [tex]n = 50, \pi = \frac{32}{50} = 0.64[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 - 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.4652[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.64 + 2.575\sqrt{\frac{0.64*0.36}{50}} = 0.8148[/tex]
The 99% confidence interval for the proportion of all students at this school who have their names written on their graphing calculators is (0.4652, 0.8148).
