Answers
Answer:
[tex]x = - 2 \\ y = - 4[/tex]
Step-by-step explanation:
[tex] - 2x + 2y = - 4 \: \: \: \: \: \\ i.e. \: \: \: - x + y = - 2 \: \: \: \: \: \: \: ...(1)\\ \\ 3x + 3y = - 18 \\ i.e. \: \: \: \: \: \: x + y = - 6\: \: \: \: \: \: \: ...(2)[/tex]
From (1) we get
[tex] x = 2 + y[/tex]
Now put x = 2 + y in equation (2)
[tex]2 + y + y = - 6 \\ 2 + 2y = - 6 \\ 2y = - 6 - 2 \\ 2y = - 8 \\ \\ y = - \frac{8}{2} \\ \\ y = - 4[/tex]
now put y = -4 in equation (1) we get
[tex] - x + ( - 4) = - 2 \\ - x - 4 = - 2 \\ x + 4 = 2 \\ x = 2 - 4 \\ x = - 2[/tex]
Related Questions
Which expression represents another method of computing the product given below?6.15*(-3.11)
Answers
Answer:
The expression that represents another method of computing
Is
615/100*(-311/100)
Step-by-step explanation:
Given the expression in decimal form, we can convert this to factional form and perform product operations as an alternative computational method
6.15*(-3.11)= 19.13
In fraction 6.15 can be written as
615/100
In fraction -3.11 can be written as
-311/100
Hence The product can also be expressed as fractions
615/100*(-311/100)
Answer:
(6 x (-3.11)) + (0.15 x (-3.11))
Step-by-step explanation:
In the given expression, the term 6.15 can be written as follows.
6.15 = 6 + 0.15
Apply the distributive property.
6.15 x (3.11) = (6 x (-3.11)) + (0.15 x (-3.11))
So, another method of computing the given product is given by the following expression.
6 x (-3.11)) + (0.15 x (-3.11))
Which job is NOT a typical work-study job?
A.working in your own business
B.working at campus library or bookstore
C.off-campus job related to your course study
D.serving in the dining hall
Answers
Answer:
I feel it is D as you are always on your feet and cant find time to study. That's my guess.
Step-by-step explanation:
Answer:
D. because a waitress doesn't necessarily have to study to work.
A marathon is 26.2 miles. What is the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon?
Answers
Missing part of the question
Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.
What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?
Answer:
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Step-by-step explanation:.
Given parameters
Miguel first run = 0.5 mile
Subsequent run = 0.2 mile
This question is an arithmetic progression.
We'll make use of arithmetic progression formula to solve this
Formula:.
Tn = a + (n - 1)d
Where a = first term
n = number of terms
d = common difference
In this case
a = first run = 0.5 mile
d = subsequent run = 0.2 mile
So, Tn = a + (n - 1)d become
Tn = 0.5 + (n - 1) 0.2
Tn = 0.5 + 0.2n - 0.2
Tn = 0.5 - 0.2 + 0.2n
Tn = 0.3 + 0.2n
The arithmetic series of an arithmetic progression is calculated using
Sn = ½(a + Tn) * n
By substituton, we have
Sn = ½(0.5 + 0.3 + 0.2n) * n
Sn = ½(0.8 + 0.2n) * n
Sn = 0.4n + 0.1n²
b.
Since the race is 26.2 miles then the least number of times is given as
Sn ≥ 26
0.4n + 0.1n² ≥ 26.2
0.1n² + 0.4n - 26.2 ≥ 0
Using quadratic formula
n = (-b ± √(b² - 4ac))/2a
Where b = 0.4 a = 0.1 and C = -26.2
So,
n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1
n = (-0.4 ± √10.64)/0.2
n = (0.4 ± 3.26)/0.2
n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2
n = 3.46/0.2 or -2.86/0.2
n = 17.3 or -14.3
Since n can't be negative
n = 17.3 miles
The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles
Answer:
15 times
Step-by-step explanation:
Let f(x) = x – 4 and g(x) =1/x. The graph of (gºf)(x) is shown below.
What is the domain
Answers
(g°f)(x)=1/(x-4)
x-4 !=0 (different from 0 because the denominator can never be 0)
=> x!=4
the domain is R \ {4}
Would you rather....
Answers
Answer:
Fred's Fit Place: 4 month membership every trimonthly
Step-by-step explanation:
Fred's Fit Place is less expensive first of all.
Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.
Answer:
Fred Fit's Place
Step-by-step explanation:
What are the answers to these and how do I do it
Answers
Answer:
1. D
2.B
3.A
4.C
Step-by-step explanation:
You find where the line meets right on the “corner of the boxes” then count to the side then down or up to find the slope
What is the value for b????
Answers
Answer:
the value is 60
Step-by-step explanation:
Answer:
60 degrees
Step-by-step explanation:
All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:
65 + 55 + b = 180
120 + b = 180
-120 -120
___________
b = 60
Which of the following is the solution set of the equation shown below? 2x(x+3)-5(x+3)=0
Answers
To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.
Explanation:To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:
x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))
x = (-1 ± √(1 + 120)) / 4
x = (-1 ± √121) / 4
x = (-1 ± 11) / 4
So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.
a 11 gram sample of substance that's used to treat thyroid disorders s has a k-value of 0.1247
Answers
Answer:
You don't have a question but I'll answer what I can.
half-life = natural log (.5) / k
half-life = -.693147 / .1247
half-life = 5.561106656
It seems you did not express the k-value properly.
1) A k-value should have a negative value.
2) A k-value should also have units.
For example, the k-value of tungsten 181 is
-0.005723757 / days
Step-by-step explanation:
Final answer:
a half-life of 5.5 days.
Explanation:
To find the half-life (t1/2) using the decay constant (k), the formula that relates them for the decay of a radioactive substance, typically used for first-order kinetics, is t1/2 = ln(2)/k, where ln(2) is the natural logarithm of 2. Given the decay constant k = 0.125, the half-life is calculated as follows:
t1/2 = ln(2) / 0.125
t1/2 = 5.545 / 0.125
t1/2 = 5.5 days
The mass of the substance does not affect the half-life, so the initial 11-gram sample size is not used in the calculation. Thus, the substance's half-life, rounded to the nearest tenth, is 5.5 days.
Change £x to pence
HELP!!!!!
Answers
Answer:£1 = 100 pence
Step-by-step explanation:
£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.
I REALLY NEED HELP PLEASE!!!!!!
Question in image below.
A.) ∆KHM ≅ ∆KJM
B.) ∆KHM ≅ ∆MJK
C.) ∆KHM ≅ ∆KHM
D.) ∆KHM ≅ ∆KMJ
Answers
Answer:
A.) ∆KHM ≅ ∆KJM
Step-by-step explanation:
In triangle KHJ, KM is the bisector of base HJ..(given)
[tex] \therefore \: HM \cong \: JM...(1) \\ In\: \triangle KHM \:\& \: \triangle KJM\\
KH\cong KJ... (given) \\
KM \cong KM.. (common\: side) \\
HM \cong JM... [From\: equation \: (1)]\\
\therefore \triangle KHM \cong\triangle KJM\\.. (By\:SSS\: Postulate) \\ [/tex]
Answer:
KHM = KJM or A.)
Step-by-step explanation:
YURTTTTT
If JKL ~ MKN, find the value of x.
Answers
Answer:
x = 14
Step-by-step explanation:
12(3x - 2) = 32(x + 1) ← distribute both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
The value of x given that JKL ~ MKN is; x= 14.
According to the question;
JKL ~ MKN; In essence, both triangles are congruent.Based on ratios; We can conclude that;
[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]
By cross product, we have;
36x - 24 = 32x + 32.4x = 56x = 14.
Ultimately, the value of x given that JKL ~ MKN is; 14.
Read more on congruent triangles:
https://brainly.com/question/1675117
The quantities xxx and yyy are proportional.
xxx yyy
222 141414
666 424242
111111 777777
Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
r =r
Answers
Answer:
Therefore the constant of proportional is r=7.
Step-by-step explanation:
The quantities x and y are proportional.
x y
i) 2 14
ii) 6 42
iii) 11 77
Since x and y are proportional.
y= rx
(i)
Now plug y= 14 and x=2
14=r.2
[tex]\Rightarrow r=\frac{14}{2}[/tex]
[tex]\Rightarrow r=7[/tex]
(ii)
Now plug y= 42 and x=6
42=r.6
[tex]\Rightarrow r=\frac{42}{6}[/tex]
[tex]\Rightarrow r=7[/tex]
(iii)
Now plug y=11 and x=77
77=r.11
[tex]\Rightarrow r=\frac{77}{11}[/tex]
[tex]\Rightarrow r=7[/tex]
Therefore the constant of proportional is r=7.
This net can be folded to form a cube with a side length of 20 units.
Answers
Answer:
its b!!!!!!!
Step-by-step explanation:
Write 0.2 as a fraction in simplest form
Answers
Answer:
1/5
Step-by-step explanation:
2/10 simplified = 1/5
Answer:
Step-by-step explanation:
What is the volume of the sphere in terms of π? V = π in.3
Answers
Answer:
the person above me is correct!
the answer is 288:)
Step-by-step explanation:
The volume of the sphere in terms of π is,
⇒ 288π inch³
What is Multiplication?Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Radius of sphere = 6 inch
Now, We know that;
Volume of sphere = 4/3πr³
Hence, We can formulate;
⇒ V = 4/3 × π × 6³
⇒ V = 288π inch³
Thus, The volume of the sphere in terms of π is,
⇒ 288π inch³
Learn more about the multiplication visit:
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Complete question is shown in attached image.
What is the value of (Negative three-fourths) Superscript negative 4?
Negative StartFraction 256 Over 81 EndFraction
Negative StartFraction 81 Over 256 EndFraction
StartFraction 81 Over 256 EndFraction
StartFraction 256 Over 81 EndFraction
Answers
Answer:
The answer is D) 256/81
Step-by-step explanation:
So, 256 is numerator (on top) and 81 is the denominator (on bottom).
I did the thing with on the top and on the bottom bc I always end up looking up what numerator and denominator means. :)
Answer:
its (D)
Step-by-step explanation:
:)
HELP NEEDED ASAP SOMEBODY HELP PLS
Answers
Answer: B) 10cm Just count the squares but 2 halves = 1 full
A new shopping mall is gaining in popularity. Every day since it opened, the number of shoppers is 20% more than the number of shoppers the day before. The total number of shoppers over the first 4 days is 671. How many shoppers were at the mall on the first day?
Answers
Answer:
The number of buyers on the first day was approximately 324.
Step-by-step explanation:
In this case we have a initial number of shoppers "C" that we want to know and this grows at a steady rate of 20% per day, like a compound interest, we also know the total number of shoppers after 4 days, so we have the final amount of shoppers. We can use the formula for compound interest in order to calculate the number of shoppers in the first day as shown bellow:
M = C*(1 +i)^(t)
Where M is the total amount of shoppers, i is the growth rate and t is the time elapsed.
671 = C*(1 + 0.2)^(4)
671 = C*(1.2)^4
671 = C*2.0736
C = 671/2.0736 = 323.5918
Since there can't be a 0.59 buyer, we will round the number to 324.
Answer:
125 shoppers
Step-by-step explanation:
answer for kahn
The answer an example how to do it
Answers
Answer:
≈ 1347 mi²
Step-by-step explanation:
The shaded area is the difference between the outer area and the inner area
shaded area = outer - inner
= πr₁² - πr₂²
where r₁ = 14 + 11 = 25 and r₂ = 14, thus
A = π × 25² - π × 14² = 625π - 196π = 429π = 429 × 3.14 ≈ 1347 mi²
Answer:
Step-by-step explanation:
Area of the shaded region = Area of the Outer circle - Area of the inner circle
Outer circle:
r = 14+11 = 25 mi
Area = πr² = π*25²
Inner Circle:
r = 14 mi
Area = πr² = π*14²
Area of shaded region = π*25² - π*14²= π(25² - 14²)
= 3.14*(625 - 196)
=3.14*429
= 1347.06 mi²
PLEASE ANSWER ASAP !!!!!
The difference of 3 times a number and 15 is no less than the square of the number.
Select the inequality that represents this relationship.
+
OA. 3.+ 15 > 12
O B. 3. s
OC. 31 < x2
OD. 3.-
I AL
GELABAIE VREME
O
FALSE
the First
Reset
Next
Answers
Answer: D
Hope this helps!
sorry about the first answer
Find the 4th term in the sequence with the following definition: See picture for sequence.
Please need help badly!!
Answers
Answer:
a₄ = - 37
Step-by-step explanation:
To find the 4 th term using the recursive formula and a₁ = - 2
a₂ = 2a₁ - 3 = 2(- 2) - 3 = - 4 - 3 = - 7
a₃ = 2a₂ - 3 = 2(- 7) - 3 = - 14 - 3 = - 17
a₄ = 2a₃ - 3 = 2(- 17) - 3 = - 34 - 3 = - 37
Question 5(Multiple Choice Worth 5 points)
(8.01 MC)
Two lines, C and D, are represented by the equations given below
Line C y = x + 14
Line D y = 3x + 2
Which of the following shows the solution to the system of equations and explains why?
O (6,20), because both lines pass through this point
O (6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes
Answers
Answer:
A is the correct answer have a nice day
Step-by-step explanation:
Answer: a is the answer
Step-by-step explanation:
A rectangle has a height of w^2 +3w+9 and a width of w^2+2 what’s the area
Answers
Answer:
Two solutions were found :
w = 1
w = -4
Step-by-step explanation:
w =(-3+√25)/2=(-3+5)/2= 1.000
or:
w =(-3-√25)/2=(-3-5)/2= -4.000
Answer: w^4+3w^3+11w^2+6w+18
Step-by-step explanation:
What is the $x$-intercept of the line perpendicular to the line defined by $3x-2y = 6$ and whose $y$-intercept is 2?
Answers
Answer:
Hi, Its still you, huh?
Step-by-step explanation:
3
because because
Answer:
3
Step-by-step explanation:
Volume of a cone: V = 3 Bh
10 ft
-
-
-
-
-
Answer the questions about the cone.
V = 3 Bh
What is the radius of the cone?
ft
What is the area of the base of the cone?
wf
What is the volume of the cone?
ft?
Answers
Answer:
What is the radius of the cone?
5ft
What is the area of the base of the cone?
25ft
What is the volume of the cone?
75ft
Step-by-step explanation:
1) Radius of the cone = 5ft
2) Area of the base of the cone = 78.5 square feet
3) Volume of the cone = 235.5 cubic feet
What is a cone?A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.
According to the given problem,
Diameter of the cone = 10 feet
Radius of the cone = [tex]\frac{diameter}{2}[/tex]
= 5 feet
Area of the base of the cone = [tex]\pi[/tex]r²
= [tex]\pi[/tex] × (5)²
= 78.5 square feet
Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]
= 235.5 cubic feet
Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.
Learn more about cone here: https://brainly.in/question/50597516
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this is the data
..................................................................
Answers
Answer:
i think its 1/4 up 5 times
Step-by-step explanation:
Two right triangles, ABD and ACD, were created from ABC by
constructing AD 1 CB.
Follow these steps to prove that sin(B) = sin(C)
1. For
ABD, sin(B) = 1
Answers
Answer:
Since their corresponding angles are congruent and the corresponding sides are in proportion
Step-by-step explanation:
For ABD,
Sin (B) = (AD ÷ AB) =1
∴ AD = AB
and if AD = AB
⇒ AD = AC (since AD 1 CB).
From triangle ACD,
Sin(C) = (AD ÷ AC)
Since AD = AC , Hence Sin (B) = Sin (C) = 1
Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)
Answer:
1 is h/c
2 is c sin(b)=h
3 is h/b
4 is b sin(c)=h
5 is substitution
6 is bc
Step-by-step explanation:
right on edge 2020
please do it fast
Which is most likely the correlation coefficient for the set of data shown?
–0.65
–0.19
0.19
0.75
Answers
Answer:
The answer is C. 0.19 I hope this helped you good luck!
Answer: C. 0.19 Hope this helps!
Perched upon Pinnacle Point, Peter picks up a peculiar piece of parchment (pictured below).
"This might be a treasure map!" he exclaims as he flips it over, revealing a clue:
P. Point.
673
673673 paces
S. Cove.
861
861861 paces
Under big rock
“These must be the distances to the treasure!” Peter nearly wets himself.
If Peter is currently facing towards Skeleton Cove, how many degrees to his left should he turn before walking
673
673673 paces to the treasure?
Answers
Answer:59
Step-by-step explanation: