Answer:
-x - y - z = -8 ........ (1a)
-4x + 4y +5z = 7 ..... (2a)
2x + 2x = 4 .......... (3a)
since (3a) a is an equation solely in x make x the subject of the equation
2 ( x + x) = 4
divide both sides by 2
(x + x) = 2
2x = 2
x = 1 ....... (3b)
substitute x in (3b) for x in (1a)
-(1) - y - z = -8
make y the subject of the equation
-y - z = -8 + 1
-y = -7 + z
y = 7 - z ..... (1b)
substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)
-4(1)+ 4( 7 - z ) +5z = 7
- 4 + 28 - 4z + 5z = 7
-24 + z = 7
z = 7 + 24
z = 31
By using (1a) solve for y
-(1) - y - (31)= -8
-1 - y - 31 = -8
y = -1 - 31 + 8
y = -24
∴ the solutions of the system are x = 1 ; y = -24 ; z = 31
Hope this helps!!!!!!!
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Jenny's kite has gotten stuck at the top of a tree. If the kite's string is 40 feet long and Jenny is 24 feet away from the tree, about how much taller is the tree than Jenny? (Round to the nearest foot.)
Um, 16 I guess, I'm not sure
(1,10), (18.-10) slope
Answer:
I think the slope is -20/17 hope this helps
3. Graph the quadrilateral with the given vertices. Give the most descriptive name for the polygon. F(1,2). G(3,0), H(1,-2).
Answer:
Expand on the name.......
In Steven's grade, 12 students are enrolled in health and 48 students are not. What percentage of the students in the school are enrolled in health?
Answer:
20%
step-by-step way
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
rewrite 1/3 Barrel 2/3 hour as a unit rate
A. 4 1/2 Barrels/Hour
B. 2 barrels/hour
C. 2/9 barrel/hour
D. 1/2 barrel/hour
Answer:
c is correct answer is yes
Answer:
D. 1/2 barrel/hour
Step-by-step explanation:
Select all quadrilaterals that have 180 degree rotational symmetry,
A. trapezoid
B. isosceles tapezoid
parallelogram
D. rhombus
E. rectangle
F. square
Parallelogram and Rectangle has rotational symmetry of 180 degree.
Trapezoid has rotational symmetry = 360 degree.
Isosceles Trapezoid has rotational symmetry = 360 degree.
Parallelogram has rotational symmetry = 180 degree.
Rhombus has rotational symmetry = 90 degree.
Rectangle has rotational symmetry = 180 degree.
Square has rotational symmetry = 90 degree.
Learn more: https://brainly.com/question/20969283
1. How could you find the actual number of sticky notes it will take to cover the cabinet, excluding the bottom? What information would you need to know?
Hey there!
You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.
Hope it helps and have an amazing day!
How does the structure of a leaf enable photosynthesis to take place?
PLEASE HELP I KNOW THIS IS NOT FOR MATH BUT I DID NOT FIND SCIENCE :(
Answer:
Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.
Solve the system of linear equations.
y = -2x - 4
y = 2x – 4.
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The linear equations are given below.
y = -2x - 4 ...1
y = 2x - 4 ...2
From equations 1 and 2, then we have
2x - 4 = - 2x - 4
4x = 0
x = 0
Then the value of the variable 'y' is calculated as,
y = 2(0) - 4
y = - 4
The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
What is the result when the number 52 is decreased by 50%?
Answer: You get 26, If this wasn't what you were looking for let me know! :)
Step-by-step explanation:
The quotient of 3 times a number n and 6 is 8. What is the value of n?
A.
24
B.
48
C.
4
D.
16
Answer:
d
Step-by-step explanation:
Use the distributive property to remove the parentheses.
-4(-6y + 2w-4)
Answer: 24y - 8w + 16
Step-by-step explanation:
Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.
What is the linear inequality of the graph shown?
Answer:
Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line
Answer:
y>4x-2
Step-by-step explanation:
Find the slope, which is 4, from (0,-2) and (1,2).
Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).
We know the equation would be a greater/less than sign because the line is dashed.
To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).
(0)<4(0)-2 (0)>4(0)-2
0<0-2 0>0-2
0<-2 0>-2
The one on the right, 0>-2, is true so the sign is a greater than sign.
A soccer team has 12 girls and 18 boys. The team is split into groups that have the same ratio of girls to boys as that of the whole team. How many girls are in the group that has nine boys? A) 9b to 6g (B 9b to 12g (C 9b to 3g
Answer:
A. 9boys to 6girls
Step-by-step explanation:
If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.
3:2
9:?
Divide 9/3=3
So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys
2*3=6
6 girls when there are 9 boys
What is the probability of picking one blue marble out of a bag containing 4 red, 5
blue, and 1 yellow marble?
Answer: 50:50
Step-by-step explanation:
EMERGENCY HELP PLEASE
Answer:
blue= x
pink=2x
green= 4x
orange=8
=
7x+8
Step-by-step explanation:
Help me please! I am in desperate need
Answer:
C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
Step-by-step explanation:
The binomial theorem is given as:
[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]
[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].
*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]
Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.
I will give brainiest to whoever answers correctly !!
On average, 3 percent of U.S. travelers do not show up for their flight. Suppose this probability is independent and constant across travelers. For a given flight from Seattle to San Francisco, an airline accepted a total of 103 reservations while the plane capacity is 100 seats. What is the probability that the airline will have to bump at least one passenger
Answer:
.3988 .
Step-by-step explanation:
We shall use Binomial distribution formula in the problem .
n = 103
The probability that a passenger will not miss the flight and show up = .97
The probability that a passenger will miss the flight = .03
n = 103 ,
probability of showing up 101 , 102 and 103 passengers so that at least 1 passenger will return or bump .
= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³
103 x 102 /2 .97¹⁰¹ .03² + 103 .97¹⁰² .03 + .97¹⁰³
= 5253 x .046 x .0009 + 103 x .00134 + .0434
= .2174 + .1380 + .0434
= .3988 .
The probability that the airline will have to bump at least one passenger is; 0.3988
Binomial probability distributionProbability that the travelers did not show up for the flight is; q = 3% = 0.03
Probability that they will show up for the flight is; p = 97% = 0.97
The formula for binomial probability is;P(X = r) = nCr × p^(r) × q^(n - r)
Thus, the probability that the airline will have to bump at least one passenger is;
(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)
>> 0.2174 + 0.1380 + 0.0434
>> 0.3988
Read more on binomial probability at; https://brainly.com/question/15246027
Simplify:
з (2(3) + (4 — 2)(3) - (6 – 2)(2)]
A. 3
В. 12
С. 0
D. 24
E. -3
Answer:
the answer is 4
Step-by-step explanation:
none of the options are right
pls help, you have to write in fraction form.
Answer:
42/145
Step-by-step explanation:
i tried might be wrong
Convert 11/3 from an improper fraction into a mixed number
Answer: 3 2/3
Step-by-step explanation:
how many groups of 3 can u make out of 11 units? Answer: 3
Rest overs: 2/3
Answer:
3 2/3
Step-by-step explanation:
3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3
WILL GIVE BRAINLIEST FOR ANSWER I’m gonna fail help please
Answer: A
Step-by-step explanation:
might as well tell ur teachers ur awesome no matter wat.
Pierce swims ina pool in 8 minutes. He spent the same amount of time on each lap. How much time did each lap take him?
Answer:
B
Step-by-step explanation:
I think
which expression has the least value when x = 100
A. 1/x
B. 10/x
C. 1-x
D. 10-x
Answer:
C. 1-x
Step-by-step explanation:
Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer
An expression is evaluated as shown below.
8 + 3 × (4 ÷ 2) − 7
Step 1: 8 + 3 × 2 − 7
Step 2: 11 × 2 − 7
Step 3: 22 − 7
Step 4: 15
In which step does a mistake first appear?
Answer:
Step 2: 11 × 2 - 7
Step-by-step explanation:
unzsun sun dn I'd i
Andy and Jim are going to compete in the 100-meter dash against each other. Let AAA be the time it takes Andy to complete the race, and JJJ be the time it takes Jim to complete the race. Based on previous results, they know that \mu_A=11.5μ A =11.5mu, start subscript, A, end subscript, equals, 11, point, 5 seconds and \sigma_A=1σ A =1sigma, start subscript, A, end subscript, equals, 1 second. They also know that \mu_J=10.5μ J =10.5mu, start subscript, J, end subscript, equals, 10, point, 5 seconds and \sigma_J=0.5σ J =0.5sigma, start subscript, J, end subscript, equals, 0, point, 5 seconds.
Answer:
μd= 1 second
σd= square root (1.25) = √1.25 seconds= 1.1180 seconds
Step-by-step explanation:
Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.
Find the standard deviation of DD
The mean difference is found out by subtracting the individual means.
The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second
The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1
σd = sqrt( σ1² / n1 + σ2 ²/ n2 )
First we calculate the variances.
Variance is the square of the standard deviation.
The variance of Andy =σA²= 1²= 1
The variance of Jim =σJ²= (0.5)²= 0.25
The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds
The supply and demand for vintage vinyl records are shown. Where is the equilibrium point.
Answer:
The point where the demand curve and the supply curve meets
Step-by-step explanation:
The equilibrium point is the point at which the quantity of vintage vinyl supplied and the quantity demanded is equal at a particular price.
From the graph, the equilibrium point is the point at which the demand curve and the supply curve intersects.
So, the equilibrium point if vintage vinyl is at the point somewhere between the price of 20 and 30, and the point where the quantity is somewhere between 50 and 100.
Answer:
at the intersection of the 2 lines at that dot that is on both lines
Step-by-step explanation:
Please Help!
B belongs to AC D belongs to lineAF
Answer:
x = 27
Step-by-step explanation:
∠ CAD and ∠ EDF are corresponding angles and are congruent, so
∠ CAD = 2x
The sum of the 3 angles in Δ ABD = 180°
sum the angles and equate to 180
72 + 2x + 2x = 180
72 + 4x = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27