Answer:
52 US fluid ounces
Step-by-step explanation:
6 fluid ounces
How many fluid ounces in a pint? There are 16 fluid ounces in a pint.
Answer: 52 fluid ounces
The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If
Answer:
TP = 13
Step-by-step explanation:
The height of the trapezoid can be found from the area formula:
A = (1/2)(b1 +b2)h
h = 2A/(b1 +b2) = 2(100)/(32 +8)
h = 5
The horizontal length of each triangular end of the trapezoid is ...
(32 -8)/2 = 24/2 = 12
so the hypotenuse of the triangular end of the trapezoid is ...
TP = √(12^2 +5^2) = √169
TP = 13
The sides of the trapezoid have length 13 units.
60 POINTS PLEASE HELP!!!What is the transformation of A(6, 4) when dilated by a scale factor of ½, using the origin as the center of dilation?
Answer:
see below
Step-by-step explanation:
Multiply each of the coordinates by the dilation factor:
A' = (1/2)A = 1/2(6, 4) = (3, 2)
Point A gets transformed to point A'(3, 2), matching choice B.
Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 7%. If the rate of decay is proportional to the amount of the substance present at time t, find the amount remaining after 24 hours. (Round your answer to one decimal place.)
Answer:
The amount remaining after 24 hours is 17.5 milligrams.
Step-by-step explanation:
The rate of decay is proportional to the amount of the substance present at a time
The equation is
Rate=k*amount remaining at(time)
Where k = constant of proportionality.
So we don't know the value of k, let's find it.
7= k(70)(6)
K= 1/60
Amount remaining after 24 hours
7= 1/60 * x* (24)
(60*7)/24= x
17.5 = x
The amount remaining after 24 hours is 17.5 milligrams.
Find the length of the hypotenuse. 45 degree triangle 3 square root of
2
Answer:
Hypotenuse = 6
Step-by-step explanation:
Find attached diagram used in solving the question.
The triangle is a 45°-45°-90° triangle meaning it's two legs are equal. The opposite = adjacent
Since we are told to find hypotenuse, it means the length given = opposite = adjacent = 3√2
Hypotenuse ² = opposite ² + adjacent ²
Hypotenuse ² = (3√2)² + (3√2)²
Hypotenuse ² = 9(2)+9(2) = 18+18
Hypotenuse ² = 36
Hypotenuse = √36
Hypotenuse = 6
The scatter plot below shows one class of Spanish students’ time spent studying for their final versus the grade that they earned on the final. If a student studies for 75 minutes, what is the best estimate for his or her grade?
A.100
B.90
C.45
D.75
How many two-digit primes have both their digits non-prime?
Answer:
{ 11 , 19 , 41 , 61 , 89 } is only the two digits number having both their non-prime.
Step-by-step explanation:
f(n+1)=f(n)-5. If f(1)=100, what is f(6)
Answer:
75
Step-by-step explanation:
Given:
f(1) = 100
f(n+1) = f(n) - 5
Solve for:
f(6)
Solution:
f(1) = 100
f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5
f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1) - 2 x 5
...
f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5
=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75
Hope this helps!
Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations.
Site I Site II Site III
51 47 33
45 19 57
32 9 62
19 18 28
25 28
57 22
35
Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Test given b807b7c2-a348-4cb7-8322-f58461059cce.GIF.
What is the level of significance?
a. 90%
b. 1%
c. 5%
d. 99%
e. 95%
Answer:
Step-by-step explanation:
Hello!
This is an example of an ANOVA hypothesis test, where you'll compare the population means of the number of broken Mimbres in three different excavation sites.
The variable of interest is
Y: Number of broken pieces of prehistoric Native American clay vessels, called Mimbres in an excavation site.
Factor: Site
Treatments: 1, 2, 3
You are asked to identify the level of significance of the test. This value is the probability of committing Type I error, that is, when you fail to reject a false null hypothesis and is always represented with the Greek letter alpha "α"
This level is determined by the researcher when he is designing the experiment and statistical analysis. Normally you'd want this level to be as small as possible to be sure you didn't commit any mistake when deciding over the hypotheses.
The mos common values are 0.01, 0.05 or 0.1 and it can also be expressed as percentages 1%, 5% or 10%. Having a probability of making a mistake greater than 10% is too high so normally you would not encounter significance levels greater than 10%
With this in mind options b. 1% and c. 5% are valid values for α.
Have a nice day!
Next time check that all the information is copied!
Please answer this correctly
Answer:
V = 615.44 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The diameter is 14 so the radius is 14/2 = 7
V = 3.14 ( 7)^2 4
V = 615.44 mm^3
Answer:
Answer:
V = 615.44 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2h
The diameter is 14 so the radius is 14/2 = 7
V = 3.14 ( 7)^2 4
V = 615.44 mm^3
Step-by-step explanation:
Which of following equations are identities. Check all that apply.
A. csc x = 1/sin x
B. tan x = 1/sec x
C. sec x = 1/csc x
D. tan x = sin x/cos x
Answer: its A and D
Step-by-step explanation:
Ape x
The trigonometric identities are (csc x = 1/sinx ) and ( tan x = sin x/cos x ). Hence, option A and option D are correct.
What is trigonometry?The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
The trigonometric identities are ( csc x = 1/sinx ) and ( tan x = sin x/cos x ). The other two options are incorrect. The correct values for the other two options are tan x = 1/cot x and sec x = 1/cos x.
Hence, option A and option D are correct.
To know more about Trigonometry follow
https://brainly.com/question/24349828
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Suppose a basketball player has made 184 out of 329 free throws. If the player makes the next 2 free throws, I will pay you $24. Otherwise you pay me $12. Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
The expected value of the proposition is -$12.74.
Step-by-step explanation:
Expected value:
It is the multiplication of each outcome by it's probability.
For each free throw, there are only two possible outcomes. Either the player makes, or he does not. Each free throw is independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Suppose a basketball player has made 184 out of 329 free throws.
This means that [tex]p = \frac{184}{329} = 0.5593[/tex]
2 free throws:
This means that [tex]n = 2[/tex]
Probability of making two free throws.
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.5593)^{2}.(0.4407)^{0} = 0.3128[/tex]
Expected value:
If he makes both free throws, you earn $12. So 0.3128 probability of you earning $12.
Otherwise, you have to pay $24. 1 - 0.3128 = 0.6872 probability of you losing $24.
So
E = 0.3128*12 - 0.6872*24 = -12.74
The expected value of the proposition is -$12.74.
Answer:
-.74
Step-by-step explanation:
I just did the homework and this is the correct answer
h(t)=-16t^2+24t+40.0
Answer:
t = -1 or 5/2
Step-by-step explanation:
To find t; we equate H(t) = 0
-16t^2+24t+40.0= 0
dividing through by 8 we have ;
-16t^2 / 8+ 24t/8+40.0/8=0
-2t^2 + 3t + 5=0
-2t^2 + 5t -2t + 5=0
By factorisation;
t(-2t + 5) +1 (-2t + 5)=0
This means;
(t + 1)(-2t +5)= 0
t + 1 = 0 or -2t + 5 = 0;
t= -1 ; -2t = -5
2t = 5
t = 5/2;
Hence t = -1 or 5/2
The dimensions of a triangular pyramid are shown below. The height of the pyramid is 6 inches. What is the volume in cubic inches? 1 point
Answer:
[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]
The volume of the pyramid is 5 cubic inches.
Step-by-step explanation:
Assuming that the triangle base dimensions are 1 inche and 5 inches, and the height of the pyramid is 6 inches, the volume would be
[tex]V=\frac{1}{3}Bh[/tex]
Where B is the area of the base (triangle) and h is the height.
[tex]B=\frac{1}{2}bh =\frac{1}{2}(1)(5)=2.5 \ in^{2}[/tex]
Then,
[tex]V=\frac{1}{3}(2.5)(6)=5 \ in^{3}[/tex]
Therefore, the volume of the pyramid is 5 cubic inches.
What is the answer? Evaluate.
John and Trey both leave the coffee shop at the same time, but in opposite directions. If Trey travels 7 mph faster than John and after 5 hours they are 85 miles apart, how fast is each traveling?
John is traveling __________ mph
Trey is traveling __________ mph
Answer:
John is traveling 5 mph
Trey is traveling 12 mph
Step-by-step explanation:
we will concept of speed distance and time where
distance = speed * time
Let the speed of john be x miles per hour
if, Trey travels 7 mph faster than John
then speed of trey = (x+7) miles per hour
Time of travel for both of them = 5 hours
distance traveled by john in 5 hours = x* 5 = 5x miles
distance traveled by john in 5 hours = (x+7) * 5 = (5x + 35)miles
total distance covered by them = 5x miles + (5x + 35)miles = (10x+35) miles
it is given that after 5 hours they were 85 miles apart, thus the distance above calculated should be equal to 85 miles
10x+35 = 85
=>10x = 85 -35
=> 10x = 50
=> x = 50/10
=> x = 5
Thus, speed of john is 5 miles per hour
speed of Trey is: x+7= 5 + 7 = 12 miles per hour
Choose the slope Y intercept that corresponds with the graph
Answer:
A
Step-by-step explanation:
First, find the y-intercept by seeing where the line goes through the y-axis
This is at (0, -2) so the y-intercept is -2.
Then, use rise over run to find the slope.
The slope is -3
Answer:
A. Slope -3, y- intercept -2
Step-by-step explanation:
Well the line passes through the point (0,-2) and from there if you draw a line 1 to the left (run) and then up 3(rise) you connect with the line, so the slope is -3(rise over run)
Hope this helps,
plx give brainliest
Select all of the following that are quadratic equations.
Answer:
x^2 -2x = 4x+1
2x^2 +12x = 0
9x^2 +6x -3=0
Step-by-step explanation:
A quadratic equation has the highest power of x being squared
x^2 -2x = 4x+1
2x^2 +12x = 0
9x^2 +6x -3=0
These are all quadratic equations
The height of an object above the ground in feet can be modeled as a function of time, t, in seconds using the equation: h(t)= -16(t-3)^2 + 288 for t grater than or equal to 0. a)Find the time in seconds when the object reaches the ground (h=0). Round your answer to the nearest second. Hint- Solve by taking the square root. b) Find all times when the object is at a height of 150 feet. Round your answer to the nearest second. Hint-Solve by taking the square root.)
Answer:
(a) t = 7 sec approximately; (b) t = 6 sec
Step-by-step explanation:
(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:
16(t-3)^2 = 288
After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.
Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds
(b) Solve h(t)= -16(t-3)^2 + 288 = 150:
-16(t-3)^2 = - 162
or (t - 3)^2 = 10.125, or
t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)
ANSWER A water tower in New York City has the shape of a cylinder with a cone on top. The cylinder has a diameter of 12 feet and a height of 15 feet. The roof has an inclination angle of 25o . There are 7.48 gallons in a cubic foot. If residents of an apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long, to the nearest minute, it will take to drain the entire tower.
Answer:
241 minutes
Step-by-step explanation:
Given:
Height of cylinder, h = 15 ft
Radius, r = [tex] \frac{d}{2} = \frac{12}{2} = 6 [/tex] (both cylinder and cone have same radius)
Let's find the height of cone, since angle of inclination = 25°C.
[tex] tan25 = \frac{h}{r} [/tex]
[tex] h = r tan25 [/tex]
[tex] h = 6 tan25 = 2.8 [/tex]
Height of cone = 2.8 ft
Let's find colume of tower.
Volume = Volume of cone + volume of cylinder.
Formula for volume of cone = ⅓πr²h
Volume of cylinder = πr²h
Therefore,
V = ⅓πr²h + πr²h
V = ⅓π*6²*2.8 + π*6²*15
V = 105.558 + 1696.46
V = 1802.02 ft³
Since volume is 1802.02 ft³, and there are 7.48 gallons in a cubic ft, the total gallon =
1802.02 * 7.48 = 13479.11 gallons
Water is used at an average rate of 56 gallons per minute.
Amount if time to drain the water:
Total gallons / average rate
[tex] = \frac{13479.11}{56} = 240.698 [/tex]
≈ 241 minutes
Omar's credit card has an APR of 26% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of
Month
1
2.
3
4
5
6
7
Previous
Balance
$0.00
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
New
Charges
$301.23
$266.65
$89.54
$198.32
$165.98
$211.34
$397.54
Payment
Received
$0.00
$320.00
$180.00
$180.00
$240.00
$140.00
$340.00
Finance
Charges
$0.00
$6.53
$5.51
$3.67
$4.15
$263
$4.24
Princip
Paid
$0.00
$313.47
$174.49
$176.33
$235.85
$137.37
$335.76
lew
Balance
$301.23
$254.41
$169.46
$191.45
$121.58
$195.55
$257 33
On what amount of money will Omar be charged interest for month 8?
A. $195.55
B. $257.33
C. $397.54
D. $340.00
Answer:
B. $257.33
Step-by-step explanation:
Interest will be charged on the New Balance after the Month 7 payment, $257.33.
7d = _____ hours. who ever answers first gets a reward...
A line is parallel to y = 3x + 8 and
intersects the point (-3, 7). What is the
equation of this parallel line?
y = [?]X + [ ]
Answer:
y= 3x+16
Step-by-step explanation:
y = 3x + 8 ║ y= mx +b
Since lines are parallel, m=3
y= 3x+b
(-3, 7) intersect
7= 3*(-3) + bb= 7+9b= 16y= 3x+16
A high school football coach is trying to decide which quarterback he should start in next week’s game. He examines the win/lose record for the two quarterbacks. Which quarterback should he start? Explain
The player / wins/ losses
Germaine / 8 / 5
Gabriel / 7 / 4
Answer:
Gabriel has the highest proportion of wins, so he should start.
Step-by-step explanation:
He should start the quarterbacks with the highest proportion of wins.
The proportion of wins is the number of games won divided by the number of games played(wins + losses).
We have that:
Germaine has 8 wins in 8+5 = 13 games. So his proportion of wins is 8/13 = 0.6154.
Gabriel has 7 wins in 7+4 = 11 games. 7/11 = 0.6364
Gabriel has the highest proportion of wins, so he should start.
Find the value of 5(x - y)
Answer:
= 5x-5y
Step-by-step explanation:
Multiply 5to x and y
Answer:
5x-5y
Step-by-step explanation:
multiply both the terms x and y by 5.
The housing commission of King County is interested in finding out more about the number of rental units that qualify as low-income housing but do not meet the minimum standard living requirements in Seattle and Renton. Units are randomly selected in both cities. Of the 85 low-income units sampled in Seattle (City 1), 17 do not meet minimum requirements. Of the 80 units sampled in Renton (City 2), 24 do not meet minimum requirements. The value of the z-statistic for testing equality of the proportion of low-income rental units that do not meet minimum standards in the two cities is
a) z=-2.33
b) none of these choices
c) Z=-1.96
d) Z= -1.49
e) z=-1.65
Answer:
d) Z= -1.49
Step-by-step explanation:
sample #1 ----->
first sample size,[tex]n_1= 85[/tex]
number of successes, sample 1 = [tex]x_1= 17[/tex]
proportion success of sample 1 ,
[tex]\bar p_1= \frac{x_1}{n_1} = 0.2000000[/tex]
sample #2 ----->
second sample size,
[tex]n_2 = 80[/tex]
number of successes, sample 2 = [tex]x_2 = 24[/tex]
proportion success of sample 1 ,
[tex]\bar p_2= \frac{x_2}{n_2} = 0.300000[/tex]
difference in sample proportions,
[tex]\bar p_1 - \bar p_2 = 0.2000 - 0.3000 \\\\= -0.1000[/tex]
pooled proportion ,
[tex]p = \frac{ (x_1+x_2)}{(n_1+n_2)}\\\\= 0.2484848[/tex]
std error ,
[tex]SE=\sqrt{p*(1-p)*(\frac{1}{n_1}+\frac{1}{n_2} )} \\\\=0.06731[/tex]
Z-statistic = [tex](\bar p_1 - \bar p_2)/SE = ( -0.100 / 0.0673 ) = -1.49[/tex]
Select the correct answer.
What is the sum of this arithmetic series?
586 +564 + 542 + ... +212
Answer:
sum of the series = 7182
Step-by-step explanation:
This is an arithmetic series. The first term is known as 586 and the last term is known as 212. We are ask to find the sum of the series. The common difference of this sequence is -22 . The difference between the next term and the previous term is -22. Let us find the number of terms.
common difference = 564 - 586 = -22
number of terms = n
nth term = a + (n - 1)d
212 = 586 + (n - 1)-22
212 = 586 - 22n + 22
212 - 586 - 22 = -22n
-396 = -22n
divide both sides by -22
n = -396/-22
n = 18
Using the formula for sum
sum of nth term = n/2(a + l)
where
l = last term
a = first term
n = number of term
sum of nth term = n/2(a + l)
sum of nth term = 18/2(586 + 212)
sum of nth term = 9(798 )
sum of the series = 7182
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2, y2 = y1(x) e−∫P(x) dx y 2 1 (x) dx (5) as instructed, to find a second solution y2(x). x2y'' + 2xy' − 6y = 0; y1 = x2
Here is the right and correct question:
The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section 4.2,
[tex]y_2 = y_1 (x) \int\limits \dfrac{e ^{-\int\limits P(x) dx} }{y^2_1 (x)} dx \ \ \ \ \ (5)[/tex]
as instructed, to find a second solution [tex]y_2(x)[/tex]
[tex](1-2x-x^2)y''+2(1+x)y' -2y =0; \ \ \ y_1=x+1[/tex]
Answer:
[tex]y_2 = -2-x^2-x[/tex]
Step-by-step explanation:
Let take a look at the differential equation:
[tex](1-2x-x^2)y''+2(1+x)y' -2y =0[/tex]
So; [tex]y''+ \dfrac{2(1+x)}{(1-2x-x^2)}y' - \dfrac{2}{(1-2x-x^2)}y =0[/tex]
where;
[tex]P(x) = \dfrac{2(1+x)}{(1-2x-x^2)}[/tex] ;
Also:
[tex]Q(x) = \dfrac{-2}{(1-2x-x^2)}[/tex]
The task is to find the value of [tex]y_2(x)[/tex] by using the reduction formula [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex] such that [tex]y_1(x) =x+1[/tex]
simplifying [tex]y_2 = y_1 (x) \int\limits \dfrac{e^{-\int\limits P(x) dx }}{y_1^2(x)}dx[/tex] ;we have:
[tex]y_2 =(x+1) \int\limits \dfrac{e ^{-\int\limits \frac{2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{e ^{\int\limits \frac{-2(1+x)}{(1-2x-x^2)}}}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{e^{In(1-2x-x^2)}}{(x+1)^2}\ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{(1-2x-x^2)}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
Let assume that [tex]I_1[/tex] = [tex]\int\limits \dfrac{-2x}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{-(2x+2-2) }{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{-(2x+2) }{(x+1)^2} + \dfrac{2}{(x+1)^2} \ \ dx[/tex]
[tex]=- In(x+1)^2 - \dfrac{2}{(x+1)}[/tex]
Also : Let [tex]I_2 = \int\limits \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{(x+1-1)^2}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \dfrac{(x+1)^2+1-2(x+1)}{(x+1)^2} \ \ dx[/tex]
[tex]= \int\limits \ 1 + \dfrac{1}{(x+1)^2}- \dfrac{2}{(x+1)} \ \ dx[/tex]
[tex]= x - \dfrac{1}{(x+1)}- 2 \ In (x+1)[/tex]
Replacing the value of [tex]I_1[/tex] and [tex]I_2[/tex] in the equation
[tex]y_2 =(x+1) \int\limits \dfrac{1}{(x+1)^2}-\dfrac{2x}{(x+1)^2}- \dfrac{x^2}{(x+1)^2} \ \ dx[/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}+ (-In(x+1)^2-\dfrac{2}{(x+1)})-(x-\dfrac{1}{(x+1)}-2 In(x+1))][/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- In(x+1)^2-\dfrac{2}{(x+1)}-x+\dfrac{1}{(x+1)}+2 In(x+1))][/tex]
[tex]y_2 =(x+1) [ \ \int\limits \dfrac{-1}{(x+1)}- 2In(x+1) -\dfrac{2}{(x+1)}-x + \dfrac{1}{(x+1)} +2 In(x+1)][/tex]
[tex]y_2 = -2-x(x+1)[/tex]
Therefore;
[tex]y_2 = -2-x^2-x[/tex]
An obtuse triangle has side lengths of (5.5x + 6.2y) centimeters, (4.3x + 8.3z )and (1.6z + 5.1y) centimeters. Which expression represents the perimeter, in centimeters of the obtuse triangle? PLZ HELP ASAP :)
Answer:
The expression [tex]9.8x+11.3y+9.9z[/tex] represents the perimeter, in centimeters of the obtuse triangle.
Step-by-step explanation:
An obtuse triangle is a triangle where one of the internal angles is obtuse (greater than 90 degrees).
The perimeter of a triangle is the total distance around the outside of a triangle, which can be found by adding together the length of each side. Or as a formula:
[tex]P=a+b+c[/tex]
where:
a, b and c are the lengths of each side of the triangle.
We know that the triangle has side lengths of [tex]a = 5.5x + 6.2y[/tex], [tex]b= 4.3x + 8.3z[/tex] and [tex]c=1.6z + 5.1y[/tex] centimeters. Therefore, the perimeter is
[tex]P=a+b+c\\P=(5.5x + 6.2y)+(4.3x + 8.3z)+(1.6z + 5.1y)\\\\\mathrm{Group\:like\:terms}\\P=5.5x+4.3x+6.2y+5.1y+8.3z+1.6z\\\\\mathrm{Add\:similar\:elements:}\\P=9.8x+11.3y+9.9z[/tex]
Write a differential equation that is a mathematical model of the situation described. The time rate of change in the temperature T of coffee is proportional to the difference between the fixed temperature M of the air at time t and the temperature of the coffee at time t. The differential​ equation, with proportionality constant​ k, is nothing.
how to read pathater in himdi
I need Help can someone help me with this answer
Answer:
Hi there!
The distance L between two points (x1, y1) and (x2, y2) in two-dimensional plane could be calculated by:
L = sqrt((y2 - y1)^2 + (x2 - x1)^2)
The distance between two points (-5, 4) and (3, -2) can therefore be calculated by:
L = sqrt( (-2 - 4)^2 + (3 - -5)^2) = sqrt( 6^2 + 8^2) = sqrt(36 + 64) = sqrt(100 ) = 10
=> Option C is correct.
Hope this helps!
:)
