Answer:
[tex]\huge\boxed{Q=\dfrac{T-R}{R}=\dfrac{T}{R}-1}[/tex]
Step-by-step explanation:
[tex]R = T - RQ\qquad|\text{add}\ RQ\ \text{to both sides}\\\\R+RQ=T-RQ+RQ\\\\R+RQ=T\qquad|\text{subtract}\ R\ \text{from both sides}\\\\R-R+RQ=T-R\\\\RQ=T-R\qquad|\text{divide both sides by} \ R\neq0\\\\\dfrac{RQ}{R}=\dfrac{T-R}{R}\\\\Q=\dfrac{T-R}{R}\\\\Q=\dfrac{T}{R}-\dfrac{R}{R}\\\\Q=\dfrac{T}{R}-1[/tex]
what is the slope of the line -3 -1/3
Answer:
negative slope
Step-by-step explanation:
Which value of b would make x²+bx−20 factorable?
Answer:
x^2-bx-20
Step-by-step explanation:
"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.
The given equation is
→ [tex]x^2+bx-20[/tex]
By putting "19" in the above equation, we can solve the equation.
→ [tex]x^2+19x-20[/tex]
By applying factorization, we get
→ [tex]x^2+20x-x-20[/tex]
By taking common, we get
→ [tex]x(x+20)-1(x+20)[/tex]
→ [tex](x+20)(x-1)[/tex]
Thus the above answer is correct.
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There are about 3×1011 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
The number of stars in the observable universe is; 3.033 × 10¹⁴
Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;
3033 stars or3033 stars or3.033 × 10³ stars in our galaxy.However, there are about 100 billion galaxies in the observable universe.
We can rewrite that in scientific notation form so that we have;
100 × 10⁹ or 100 × 10⁹ or 10¹¹ galaxies in the observable universe.Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;
3.033 × 10³ × 10¹¹By the laws of indices;
3.033 × 10¹⁴.Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.
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Find an equation for the line with slope m=4/7 and which goes through the point (21,-7)
Answer:
y=4/7x-19
Step-by-step explanation:
So the equation is :
y-[tex]y^{1}[/tex]=m(x-[tex]x^{1}[/tex])
m= slope
y+7=4/7(x-21)
y=4/7x-19
HOPE I helped :D
On average, indoor cats live to 16 years old with a standard deviation of 2.5 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N([],[])
b. Find the probability that an indoor cat dies when it is between 17.2 and 19.6 years old.[]
c. The middle 20% of indoor cats' age of death lies between what two numbers?
Low: [] years
High: [] years
Answer:
(a) N (16, 2.5²)
(b) 0.241
(c) Low: 15.4 years
High: 16.6 years
Step-by-step explanation:
The random variable X is defined as the age at death of a randomly selected indoor cat.
(a)
The distribution of X is:
[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]
(b)
Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:
[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]
[tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]
Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.
(c)
Compute the two numbers within which 20% of indoor cats' age of death lies as follows:
[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]
The corresponding value of z is, 0.25.
Compute the value of x₁ and x₂ as follows:
[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex] [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]
Low: 15.4 years
High: 16.6 years
Find the slope:
A.2/5
B.-2/5
C.5/2
D.-5/2
Answer:
5/2
Step-by-step explanation:
m-18=n
This makes no sense this is my 3rd time asking this question
Answer:
m=18+n
Step-by-step explanation:
m + -18 = n simplify
-18 + m = n record the terms
-18 + 18 + m = 18 + n solve
Combine like terms: -18 + 18 = 0, 0 + m = 18 + n, m = 18 + n
Final answer: m = 18 + n
Answer:
IDK but here's what I have found.....
Step-by-step explanation:
Simplifying
m + -18 = n
Reorder the terms:
-18 + m = n
Solving
-18 + m = n
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '18' to each side of the equation.
-18 + 18 + m = 18 + n
Combine like terms: -18 + 18 = 0
0 + m = 18 + n
m = 18 + n
Simplifying
m = 18 + n
In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this number?
O 3 x 10^8
O 4 x 10^7
O 4 x 10^8
O 4x 10^9
Given:
The population of continent of South America in 2010 is 395, 280, 204.
To find:
The closest estimate of this number.
Solution:
We have,
[tex]Population = 395, 280, 204[/tex]
The approximate value of this number is
[tex]Population \approx 400, 000, 000[/tex]
The scientific form of this value is
[tex]Population = 4\times 10^8[/tex]
Therefore, the correct option is C.
urgent! please help!
Answer: (0,3)
Step-by-step explanation: The y-intercept is where x is 0.
What is 70,681 is word form.
Answer:
seventy and six hundred eighty-one thousandths
Answer:
seventy thousand six hundred eighty one.
Step-by-step explanation: that is your answer
Can someone please help me .
Answer:
Distance = speed x time.
Step-by-step explanation:
Hope I helped
After jogging 4 miles, a runner increases his speed to 6 miles per hour which equation models the total number of miles, d, that he has traveled aftert
hours at the fastest speed?
O d = 4t - 6
O d = 4t + 6
O d = 6 - 4
d = 6 + 4
Answer: 11
Step-by-step explanation:
In the first quadrant, you start at (5,3) and move 2 units up What point will you end up on?
Answer: 5,5 have a great day
The translated point (5, 5)
What is translation?A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.
Given:
In the first quadrant, you start at (5,3) and move 2 units up.
Here, up means positive changes in the second value of coordinates
Translation:
(x, y) → (x, y +2)
(5,3) → (5, 3 +2)
(5,3) → (5, 5)
Therefore, the point is (5, 5)
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Explain why when you reflect a point across the line y=x, the x−coordinate and the y−coordinate change places, and when you reflect a point across the line y = −x, the x−coordinate and the y−coordinate change places and their signs are changed.
Answer:
The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.
Step-by-step explanation:
someone help me and explain this is really confusing me plzz I'll brainlist u !:)
Answer:
Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x
13 dollars per child and y children so $13y
$20 for each pensioner and p pensioners so $20p
when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer
$25x + $13y + $20p
a) $25x
b) $13y
c) $20p
d) $25x + $13y + $20p
Answer:
a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125
b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52
c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40
d) so, the total will be, = $25x + $13y + $20p
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Find the missing number! Super easy, just don't feel like doing it, plus busy with other work.
Answer:
y = 1.37
Step-by-step explanation:
30y = 41.10
divide both sides of the equation by 30
30y/30 = 41.10/30
y = 41.10/30
y = 1.37
simplify
45÷(-3)
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
-15
Step-by-step explanation:
45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
A rectangular garden has a length of 3a+75 cm and a width of 2a-34. What is its
perimeter?
P = 10a + 68 cm
Step-by-step explanation:Hi there !
P = 2w + 2l
= 2(2a - 34) + 2(3a + 75)
= 4a - 68 + 6a + 150
= 10a + 68 cm
Good luck !
Given the formula for the arithmetic sequence, an = 6+ (n - 1)3, give the first 4 terms of the
sequence.
19
find the following:
[tex]a(n) = 6 + 3(n - 1)[/tex]
[tex]a(1) = 6 + 3(1 - 1)[/tex]
[tex]a(1) = 6 + 3 \times 0[/tex]
[tex]a(1) = 6 + 0[/tex]
[tex]a(1) = 6[/tex]
_________________________________
[tex]a(2) = 6 + 3(2 - 1)[/tex]
[tex]a(2) = 6 + 3 \times 1[/tex]
[tex]a(2) = 6 + 3 [/tex]
[tex]a(2) = 9[/tex]
_________________________________
[tex]a(3) = 6 + 3(3 - 1)[/tex]
[tex]a(3) = 6 + 3 \times 2[/tex]
[tex]a(3) = 6 + 6[/tex]
[tex]a(3) = 12[/tex]
_________________________________
[tex]a(4) = 6 + 3(4 - 1)[/tex]
[tex]a(4) = 6 + 3 \times 3[/tex]
[tex]a(4) = 6 + 9[/tex]
[tex]a(4) = 15[/tex]
HELP HAVING A BAD DAY
Graph the line given by the equation.
2y=-3x
Answer:
u should never have a bad day just keep grinding you going to be who u want to be 1 day u should never feel down and the answer is -3/2 is your slope
Step-by-step explanation:
Kim writes an estimate for the number 0.00436 as 4x10^3. Explain why this cannot be correct
Answer:
4x10^-3
Step-by-step explanation:
because it was in a deciaml, it has to be negative
The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.
We have to find whether it is correct or not and why ?
What do you mean by decimal fraction ?
A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.
As per the question ;
The decimal number given is 0.00436.
To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.
and
We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]
So,
The correct estimate will be ;
= 4.36 × [tex]10^{-3}[/tex]
Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].
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Plz answer I need help my teacher doesn't explain things good
Please show all work
Answer:
w = 19/15 or 1 4/15
Step-by-step explanation:
11/15 = w-(8/15) // - w-(8/15)
11/15-w+8/15 = 0
19/15-w = 0 // - 19/15
-w = -19/15 // * -1
w = 19/15
w = 19/15
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]
[tex]\bold{\frac{11}{15} =w-\frac{8}{15}}~=~\bold{w-\frac{8}{15}=\frac{11}{15} }[/tex][tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]
[tex]\bold{w=\frac{11+8}{15}~=~\frac{19}{15}}[/tex]______________________________
[tex]\bold{Answers:}[/tex]
[tex]Improper~Fraction~Form:\bold{w=\frac{19}{15}}[/tex][tex]Mixed~Number~Form:\bold{w=1\frac{4}{15}}[/tex][tex]Decimal~Form:\bold{w=1.266666667}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]
Identify the number of molecules in the chemical formula for Butane.
5C4H10
2
4
5
or 10
Answer:
the way you have the question on here is weird, but I'm pretty sure the answer is 5
Step-by-step explanation:
molecules are groups of bonded atoms, so one molecule of Butane would be C4H10 by itself, but if you have 5 of those, you have 5 molecules.
however, if you're talking about the number of ATOMS in one molecule of Butane, there would be 14 (4 carbon, 10 hydrogen)
Find the slope of the line passing through the points (2, 2) and (2,-4).
Answer:
The slope is (DNE), undefined.
Step-by-step explanation:
Which of the values below will make the equation
3x -- 11 = 40
true?
8n +7(2n-4)=4(7 + 3n) - 6
Answer:
n=5 hope this helps
Step-by-step explanation:
CORRECT ANSWER WILL GET BRAINLIEST!!!!
The solution to this equation is:
C.) x=7
What is T?
3/8=t-1/8
Answer:
t = 0.5
Step-by-step explanation:
sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open