Answer:
[tex]x= 6[/tex]
Step-by-step explanation:
RT = RS + ST
[tex]48=5x+3x[/tex]
[tex]48=8x[/tex]
Swap sides:
[tex]8x=48[/tex]
Divide both sides by 8:
[tex]\frac{8x}{8} =\frac{48}{8}[/tex]
[tex]x=6[/tex]
A proportional relationship is a relationship between equivalent ratios. Imagine that ice cream costs $2 per scoop. If you get one scoop of ice cream, you’ll pay $2. If you get two scoops, you’ll pay $4, and for three scoops you’ll pay $6. These ratios of scoops to prices are equivalent. Therefore, the relationship between number of scoops and total price is proportional. To find out the total price of your ice cream, you can always multiply the number of scoops you’re getting by the same number, 2. Which of these can be described with a proportional relationship? A An athlete runs 1 mile in 7 minutes and another mile in 7.5 minutes. B An athlete does 10 push-ups for every 1 mile she runs. C An athlete runs 2 miles and does 25 push-ups. D An athlete runs 5 miles 3 times a week.
Answer:
B. An athlete does 10 push-ups for every mile she runs.
Step-by-step explanation:
10/1 -> 20/2 -> 30/3
The function y1(t)=t is a solution to the differential equation t2y′′−t(t+3)y′+(t+3)y=0. ,t > 0; y1(t) = t. Use the method of reduction of order to find a second solution of the given differential equation.
Answer:
Step-by-step explanation:
Let y(t) = vt..... 1
Differentiating y(t) with respect to t twice will give;
y'(t) = v(1) + v't
y'(t) = v+v't .... 2
For y''(t);
y''(t) = v'+v'(1)+v''t
y''(t) = 2v'+v''t.... 3
Substitute equation 1, 2 and 3 into the differential equation
t²y′′−t(t+3)y′+(t+3)y=0
t²(2v'+v''t) −t(t+3)(v+v't)+(t+3)(vt)=0
t²(2v'+v''t) −(t²+3t)(v+v't)+(t+3)(vt)=0
Open the parentheses
2t²v'+t³v''-(t²v+t³v'+3tv+3t²v')+t²v+3vt= 0
2t²v'+t³v''-t²v-t³v'-3tv-3t²v'+t²v+3vt=0
Collect like terms according to the degree
t³v''+2t²v'-3t²v'-t³v'-t²v+t²v-3vt+3vt=0
t³v''-t²v'-t³v' =0
t²(tv"-v'-tv') = 0
tv"-v'-tv' = 0
tv"-v'(1+t) = 0
Reduce the degree by substituting p as v' to have;
tp'-p(1+t) = 0
tp' = p(1+t)
Separate the variables
p'/p = (1+t)/t
p'/p = 1/t + 1
Integrate both sides of the equation
ln(p) = lnt + t +K
lnp-lnt = t+K
ln(p/t) = t+K
p/t = e^(t+K)
p = Cte^t
v' = Cte^t
Integrate both sides
v = C{te^t - integral (e^t)}
v(t) = C(te^t - e^t}
y(t)/t = C(te^t - e^t}
y(t) = C(t²e^t-te^t)
Since the solution of second order differential equation
y(t) = C1e^at+C2te^t
In comparison the second solution to the differential equation y(t) will be t²e^t
What scale factor leaves the image
unchanged?
HELP MEEE PLZZZ
Answer:
Scale factor of 1
Step-by-step explanation:
A scale factor is a number in which the length of every segment of an original figure is multiplied by to get a new figure similar to it.
A scale factor that is less than 1 would give us a new figure that is reduced and smaller than the original figure. On the other hand, if the scale factor is greater than 1, the new figure would be an enlargement if the original figure.
However, a scale factor = 1 will give us a figure that is congruent to the original figure. No enlargement or reduction in the original size. The figure it image remains the same.
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds (according to an exponential distribution). What is the percentage of the time that the machine is used?
Answer:
1
Step-by-step explanation:
Given the following :
Rate of arrival = 40 ( poisson distribution)
Average copying time = 40 seconds (according to an exponential distribution)
Number of machines available = 1
Percentage of time machine is used is Hence ;
Rate of arrival / (Average copying time × number of machines)
40 / (40 × 1)
= 40 / 40
= 1
Find the sum of the series.
[infinity] ln(1 − 1/n2) n = 2
Answer:
The sum is -1/2
Step-by-step explanation:
Your question is not too clear to me but if I reframe it, it will turn to this;
Find the sum of In{1 - (1/n^2)} for n >= 2
£n>=2 = In{1 - (1/2^2)} + In{1 - (1/3^2)} + In{1 - (1/4^2)} + ......
£n>=2 = In{1 - (1/4)} + In{1 - (1/9)} + In{1 - (1/16)}
£n>=2 = In(3/4) + In(8/9) + In(15/16)
£n>=2 = -0.287 + -0.117 + -.064 = −0.468
£n>=2 = -0.5 by approximation
£n>=2 = -1/2 is the sum and by evaluation it converge.
Find the binomial coefficient
(46/46)
A.46
B.0
C.undefined
D.1
Answer:
Step-by-step explanation:
c
There are four girls, and four apples in a basket. Each girl took one apple, however, there was still one apple left in the basket. How is that possible?
Answer:
One girl took the basket.
She took the last apple
while it was in the basket.
Step-by-step explanation:
Which of the following describe 86? Select all that apply.
whole number
irrational number
integer
rational number
Answer:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
Step-by-step explanation:
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers. ... Irrational, then, just means all the numbers that aren't rational.
Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8, 3
Answer:
7
Step-by-step explanation:
You have to put the numbers in order then find the middle number.
Numbers in order: 2,3,6,6,7,8,8,8,15
Then cross out the numbers on the end (one by one) until you get to the middle number. (If there are two numbers left once you're done then you add them then divide by 2)
Answer:7
Step-by-step explanation:
X+32=124
HELP ME PLEASE ILL MARK BRAINLIEST.
Answer:
92
Step-by-step explanation:
25 POINTS 2 MATH QUESTIONS NEED HELP ASAP
Answer:
it was b
Step-by-step explanation:
Chase was asked to simplify the expression (-3) ^ 4 * (-3) ^ 9 equals is shown was work below do you agree or disagree with Chase's War explain your reasoning chases work (-3) to the power of 4 * (-3) ^ 9 equals (-3) ^ 36
Answer:
Step-by-step explanation:
Given the expression chase was asked to simplify as [tex](-3) ^ 4 * (-3) ^ 9[/tex], lets first solve and compare our solution with chases's
Using the law of indices [tex](a) ^ m * (a) ^ n = a^{m+n}[/tex]
[tex]= (-3) ^ 4 * (-3) ^ 9 \\\\= (-3)^{4+9}\\\\= (-3)^{13}[/tex]
Chases reasoning is wrong according to his answer [tex](-3) ^ 4 * (-3) ^ 9 = (-3)^ {36}[/tex]. What chase's did was to multiply the power of -3 together instead of adding. In indices when the bases are equal and we are multiplying, the powers of the bases will be added not multiplies=d as chase's did.
If you have 9/10 of a pound of granola how many 1/5 pound bags can you fill ?
Answer:
4
Step-by-step explanation:
1/5 is the same as 2/10. How many 2's can you put in 9? You can put 4.5 2's in a 9. However, filling half a bag does not fill the entire bag, so the answer would be 4. You can fill 4 full 1/5 pound bags with 9/10 pounds of granola.
how to solve 2x+4 = 6x - 10
Answer:
Step-by-step explanation:
2x + 4 = 6x - 10
Minus 2x on both sides
4 = 4x - 10
Add 10 on both sides
14 = 4x
Divide by 4 on both sides
14/4 = x
x = 14/4
Simplify fraction
x = 7/2 or x = 3 1/2
Which ratio is equivalent to 3:7 is it 6:7, 3:21, 24:56, or 15:30
Answer:
24:56 is equivalent to 3:7
Step-by-step explanation:
All you have to do is divide 24:56 by 8.
1. 24 ÷ 8 = 3
2. 56 ÷ 8 = 7
And there you go = 3:7
which of the following represents a line with an undefined slope y=5 x=5. y=5x y=x+5
Answer:
B. x = 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
A. has a slope.
y = 0x + 5
m = 0
B. has an undefined slope
x = 5
m = undef
C. has a slope.
y = 5x
m = 5
D. has a slope.
y = x + 5
m = 1
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 1, multiplicity 2; 2i
Answer:
3
Step-by-step explanation:no
what is two more than -7
Answer:
-5
Step-by-step explanation:
-7 +2 = -5
Answer:
-5
Step-by-step explanation:
Because when a number is a negative and you need to add, you subtract instead.
Hope this helps. Plz give brainliest.
Select the perfect square trinomial from among the options below.
Question 11 options:
A)
x2 + 4x – 4
B)
x2 – 12x + 36
C)
x2 – 2x – 3
D)
x2 + 10x + 20
Answer:
D
Step-by-step explanation:
please answer or i move down!!!!!!!!!!!!!!!!!!!
Answer:
180°-(68°+37°)→→→→→→→→sum of angles on a straight line.
180-105=75°
Point to be kept in mind : the sum of angle of a straight line is 180°!
Thus,
68+ X + 37 = 180
=> 105 + X = 180
=> X = 75°Question 3 12.5 pts In a circle, the coordinates of the endpoints of a diameter are (4, 5) and (10, 1). Find the coordinates of the center of the circle. center of the circle : (x, y) =(
5x + 8 is an example of
What is the range of the function?
A. [-2, 11)
B. (-4.0)
C. (-4, 4)
D. [4, 11)
Answer:
I think it should be D tell me if you got it right
What is the next number in the sequence: 3, 9, 21, 45, 93,...?
Answer:
189 is the next number bacause we multiply 3+3+3=9 now, 9+9+3=21, again ,21+21+3=45 ,again 45+45+3, therefore we observed that this number add itself and its last add 3 so, 93+93+3=189
The next term will be of the sequence is 189.
What is sequence ?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
According to the question
The sequence: 3, 9, 21, 45, 93,
Next term be x
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48
as we can see that
every difference is difference of previous terms *2
i.e
6*2 = 12
12*2 = 24
24*2 = 48
48*2 = 96
Therefore ,
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48 96
i.e
x = 96 + 93
x = 189
Hence , the next term will be of the sequence is 189.
To know more about sequence here:
https://brainly.com/question/21961097
#SPJ3
Jeene and her friends were selling cookies. They sold four more boxes second week in the than they did the first week . On the third week they doubbled the sale of their second week. Although they sold a total of 352 boxes how many boxes that they sell in the third week?
Answer:
i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
Answer:
Step-by-step explanation:i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
a round mirror has a circumference of 87.92 inches. calculate the area of the mirror. use 3.14 for pi. round answers to the nearest hundreth if necessary
Answer:
615.44 in²
Step-by-step explanation:
Use the circumference formula, C = 2[tex]\pi[/tex]r
Plug in the circumference and pi to solve for the radius, r:
C = 2[tex]\pi[/tex]r
87.92 = 2(3.14)r
87.92 = 6.28r
14 = r
Then, use the area formula, A = [tex]\pi[/tex]r²
A = 3.14(14)²
A = 615.44 in²
So, the area of the mirror is 615.44 in²
Find the distance between the two points. Round your answer to the
nearest tenth.
YA
(-3,5)
(7,1)
Answer:
The answer is
10.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,5) and (7,1)
The distance between them is
[tex]d = \sqrt{( { - 3 - 7})^{2} + ({5 - 1})^{2} } \\ = \sqrt{ ({ - 10})^{2} + {4}^{2} } \\ = \sqrt{100 + 16} \\ = \sqrt{116} \\ = 2 \sqrt{29} \\ \: \: \: \: \: \: \: \: = 10.770329[/tex]We have the final answer as
10.8 units to the nearest tenthHope this helps you
What is the inverse of the function?
H^-1(x)=
Answer:
H^-1=2/5x-8/5
Step-by-step explanation:
interchange the variables
x=5/2y+4
so 5/2y=x-4
y=2/5x-8/5
H^-1=2/5x-8/5
PLEASE HELP! I ONLY HAVE 10 MINUTES LEFT!
Consider the sequence of steps to solve the equation:
Answer:
Multiplacation
Step-by-step explanation:
It is the multiplacation roperty pbecauseyou are multipyling 10 times x and 3.
Find the quotient: 30 √510
Answer:
im pretty sure the quotent is 17
Step-by-step explanation:
hope this helps!
