The equation of the function is −3<x<1. See the explanation below.
What is the solution to the above?Given the graph of function f is a parabola,
Thus, equation of parabola is y=(x+3)(x+1)
⇒y=x² +4x+3
⇒y−3+2²
= x²+2× x ×2+2²
⇒y+1=(x+2)²
We can rewrite this as
(x+2)² =4× (1/4) ×(y+1)
Comparing the above equation to the equation of a parabola, (x−h)² =4a(y−k), where (h,k) is the coordinates of vertex of parabola, we have,
(h,k)≡(−2,−1)
Hence, the x coordinate of the vertex is −2 which lies in the interval −3<x<1
Learn more about functions at;
https://brainly.com/question/17043948
#SPJ1
Can someone please solve this
Answer:
20
Step-by-step explanation:
a c will have the same angle as b d
the price for 5/6 l of liquid x is $80. what is the price per litre of liquid x
Answer:
$96.
Step-by-step explanation:
5/6 costs 80
Multiply both parts by 6/5:
5/6 * 6/5 ( = 1 ) costs 80 * 6/5
= 16 * 6
= $96.
Chandra invests $75 every month at 4.8% compounded monthly for 8 years. What is the total amount of Chandra's investments after 8 years?
The total amount of Chandra's investments after 8 years exists $110.03.
How to estimate the compound interest?The formula for calculating the compound interest exists defined as;
[tex]$A = P(1+r/n)^{nt[/tex]
where, P exists the amount invested = $75
r exists the rate. = 0.048
t exists the time = 8 years
n = 12 (monthly)
The formula for calculating the compound interest,
[tex]$A = P(1+r/n)^{nt[/tex]
Substitute the value in the above equation, and we get
[tex]$A = 75(1+0.048/12)^{96[/tex]
A = 75(1.467)
A = 110.03
Hence the total amount of Chandra's investments after 8 years exists $110.03
To learn more about compound interest refer to:
brainly.com/question/24924853
#SPJ9
The population parameter value and the point estimate differ because a sample is not a census of the entire population, but it is being used to develop the _____. Group of answer choices population parameter point estimate population mean standard error
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
According to the question,
The population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
The sample proportion p, is a point estimate of the population proportion.
Hence, the correct answer is point estimate. Thus, the population parameter value and the point estimate differ because a sample is not census of the entire population, but it is being used to develop the point estimate.
Learn more about population parameter here
https://brainly.com/question/3640262
#SPJ4
Jessica purchased a dvd that was on sale for 12% off. the sales tax in her county is 3%. let y represent the original price of the dvd. write an expression that can be used to determine the final cost of the dvd. how do i solve a problem like this ? khan academy
Jessica purchased a DVD that was on sale for 12% off.
The sales tax in her county is 3%.
Let, y represent the original price of the DVD.
We can simply solve this mathematical problem by using the following mathematical process.
Here, we will form an algebraic expression, according to the given data.
So,
The original price of the DVD = y
Discount on the original price :
y * 12/100
=3y/25
Price after discount :
y - 3y/25
=25y - 3y/25
=22y/25
Sales tax amount :
22y/25 * 3/100
11y/25 * 3/50
=33y/1250
Final price including the sales tax :
22y/25 + 33y/1250
1100y + 33y/1250
1133y/1250
(This will be considered as the final result.)
Learn more about sales tax here:https://brainly.com/question/9437038
#SPJ4
Which of the following is correct based on this picture?
Applying the trigonometry ratios, the correct option is: B. none of these are correct.
What are the Trigonometry Ratios?The trigonometry ratios are SOH CAH TOA, which are used for solving a right triangle.
Use the trigonometry ratio to find out which option is correct.
Cos Z = adj/hyp = 61/CZ, so option A is incorrect.
Sin Z = opp/hyp = 73/CZ, so option C is incorrect.
Tan Z = opp/adj = 73/61, so option D is incorrect.
Thus, the answer is: B. none of these are correct.
Learn more about the trigonometry ratios on:
https://brainly.com/question/10417664
#SPJ1
Solve the equation. Give your simplified answer as an improper fraction.
 -(x-1)+10 = -3(x-2)
14. The following three lines intersect to form
a triangle.
y = x + 1
2x + y = 4
x + y = 5
a) Find the coordinates of each vertex.
b) Is this a right triangle? Explain how
you know.
The coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The coordinates of each vertex?The functions are given as:
y = x + 1
2x + y = 4
x + y = 5
Next, we plot the graph of the lines (see attachment)
From the attached graph, the coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The type of triangleRewrite the equations in slope intercept form
y = x + 1 ⇒ Slope = 1
y = -2x + 4 ⇒ Slope = -2
y = -x + 5 ⇒ Slope = -1
The equations y = x + 1 and y = -x + 5 have their slopes to be opposite reciprocals
This means that the lines are perpendicular (they form a right angle)
Hence, the triangle is a right triangle
Read more about triangle at:
https://brainly.com/question/21735282
#SPJ1
there are four elevators in a building. Each elevator makes three stops, which do not have to be on consecutive floors or include the ground floor. For any two floors, there is at least one elevator that stops on both floors. What is the maximum number of floors that this building can have
The maximum number of floors that this building can have is 6
How to determine the maximum number of floors?The given parameters are:
Elevators = 4
Stops = 3
At least one elevator stops on 2 floors
The maximum number of floors is calculated as:
Maximum = Elevators * Stops/2
This gives
Maximum = 4 * 3/2
Evaluate
Maximum = 6
Hence, the maximum number of floors that this building can have is 6
Read more about sequence at:
https://brainly.com/question/7882626
#SPJ1
If a and b are rational numbers and a+b√3=1/2-√3,find a:b=?
The value of the ratio a:b is 2:1
What is a surd?Surds are values of a square roots that cannot be simplified as whole numbers or integers. They are usually called irrational numbers.
Example of some surds are the square root of prime numbers.
Analysis:
a + b[tex]\sqrt{3}[/tex] = [tex]\frac{1}{2 - \sqrt{3} }[/tex]
Rationalizing the right hand side by the conjugate surd which is 2 + [tex]\sqrt{3}[/tex]
[tex]\frac{1}{2 - \sqrt{3} }[/tex] x [tex]\frac{2 + \sqrt{3} }{2 +\sqrt{3} }[/tex] = [tex]\frac{2 + \sqrt{3} }{4 -2\sqrt{3} +2\sqrt{3} -3}[/tex] = [tex]\frac{2 + \sqrt{3} }{1}[/tex] = 2 + [tex]\sqrt{3}[/tex]
Equating,
a + b[tex]\sqrt{3}[/tex] = 2 + [tex]\sqrt{3}[/tex]
Comparing the variables,
a = 2, b[tex]\sqrt{3}[/tex] = [tex]\sqrt{3}[/tex], b = 1
The ratio, a: b = 2:1
Learn more about surds: brainly.com/question/840021
#SPJ1
Suppose the length of AC in the triangle below is 15cm. The measure of angle A is 60, sim 60 ≈ 0.866, cos 60 ≈ 0.5 and tan 60 ≈1.73. Determine the length of AB
Answer: Option (4)
Step-by-step explanation:
From the diagram, we know that
[tex]\sin 60^{\circ}=\frac{BC}{15}\\\\\cos 60^{\circ}=\frac{AB}{15}[/tex]
This means we can eliminate options 1 and 2.
Now, if we multiply both sides by 15, we get
[tex]15\cos 60^{\circ}=7.5[/tex].
This gives us Option (4).
Answer:
Step-by-step explanation:
already
Owen has enough materials to build up to 10 birdhouses in shop class. each birdhouse needs 12 square feet of wood. the function w(b) = 12b represents the total amount of wood that owen would need to build b birdhouses. what domain and range are reasonable for the function?
Domain of the function is [tex]0\leq b\leq 10[/tex] and range of the function is [tex]0\leq W\leq 120[/tex].
What is domain and range of a function?The range of values that we are permitted to enter into our function is known as the domain of a function.
A function's range is the collection of values it can take as input.
Each birdhouse uses 12 square feet of wood. Owen has enough to build 10 birdhouses, so he has 120 square feet of wood.
The function has an input of the number of birdhouses, b, and W as an output of the amount of wood needed. b is domain, and W is the range. The domain is 0 to 10 and range is 0 to 120.
Therefore, the domain of the function is [tex]0\leq b\leq 10[/tex] and the range of the function is [tex]0\leq W\leq 120[/tex].
To learn more about domain and range of a function from the below link
https://brainly.com/question/1942755
#SPJ4
Type the correct answer in each box.
Find the elements of matrix A.
help PLS!!
Answer:
a = 2
b = 11
c = 11
d = -2
Step-by-step explanation:
[tex]\sf \left[\begin{array}{cc}a&b\\c&d \end{array}\right] *\left[\begin{array}{ccc} 22&11&7\\ 6&-9&-15 \end{array}\right] =\left[\begin{array}{ccc} 22a+6b&11a-9b&7a-15b\\22c+6d&11c-9d&7c-15d \end{array}\right][/tex]
[tex]\sf \left[\begin{array}{ccc} 22a+6b&11a-9b&7a-15b\\22c+6d&11c-9d&7c-15d \\ \end{array}\right] =\left[\begin{array}{ccc} 110&-77&-151\\230&139&107 \\ \end{array}\right][/tex]
On comparing to right side, we get,
22a + 6b = 110
Divide the entire equation by 2
11a + 3b = 55 ------------(I)
11a - 9b = -77 -------------(II)
Subtract equation (II) from (I)
11a + 3b = 55
11a - 9b = -77
- + + {Now subtract}
12b = 132
b = 132/12
[tex]\sf \boxed{\bf \ b = 11}[/tex]
Substitute the value of b in eqaution (I)
11a + 3*11 = 55
11a + 33 = 55
11a = 55 - 33
11a = 22
a = 22/11
[tex]\sf \boxed{\bf \ a = 2}[/tex]
22c + 6d = 230
Divide by 2
11c + 3d = 115 -----------------(III)
11c - 9d = -139 ------------------(IV)
Subtract (IV) from (III)
11c + 3d = 115
11c - 9d = 139
- + -
12d = -24
d = -24/12
[tex]\sf \boxed{\bf \ d = -2}[/tex]
Plugin d = - 2 in equation (III)
11c + 3*(-2) = 115
11c - 6 = 115
11c = 115 + 6
11c = 121
c = 121/11
[tex]\sf \boxed{\bf \ c = 11}[/tex]
What is the inverse of the equation y=x^2+9,x>0
The inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]
How to determine the equation inverse?The equation is given as:
y = x^2 + 9
Subtract 9 from both sides
x^2 = y - 9
Take the square root of both sides
[tex]x = \sqrt{y - 9[/tex]
Hence, the inverse of the equation y = x^2 + 9 is [tex]x = \sqrt{y - 9[/tex]
Read more about inverse equations at
https://brainly.com/question/15529152
#SPJ1
What quadrant does the terminal side of this angle lie in?
A) Quadrant III
B) Quadrant II
OC) Quadrant IV
OD) Quadrant I
Answer:
Quadrant III
Step-by-step explanation:
Top-right quadrant = QI
Top-left quadrant = QII
Bottom-left quadrant = QIII
Bottom-right quadrant = QIV
The coordinates of three vertices of a rectangle are (3,7), (-3,5), and (0,-4). What are the coordinates of the fourth vertex
The coordinates of the fourth vertex are (6, -2)
What are the coordinates of the fourth vertex?The coordinates of three vertices of a rectangle are given as: (3,7), (-3,5), and (0,-4).
Calculate the slope of the first two coordinates using
m = (y2 - y1)/(x2 - x1)^2
Substitute the known values in the above equation
d = (7 - 5)/(3 + 3)
Let the fourth coordinate be (x, y)
Calculate the slope of the other two coordinates using
m = (y2 - y1)/(x2 - x1)^2
Substitute the known values in the above equation
m = (y + 4)/x
Equate both slope equations
(y + 4)/x = (7 - 5)/(3 + 3)
Simplify the fraction
(y + 4)/x = 1/3
Cross multiply
x = 3y + 12
Let y = -2
So, we have:
x = 3 *-2 + 12
Evaluate
x = 6
Substitute x = 6 and y = -2 in (x, y)
This gives (6, -2)
Hence, the coordinates of the fourth vertex are (6, -2)
Read more about rectangle coordinates at:
https://brainly.com/question/15157106
#SPJ1
30 points please help i dont understand
Answer:
502.4 ft²
Step-by-step explanation:
To find the individual area of the ring, you first need to find the area of the white circle. Then, you need to find the area of the circle and the ring (which can be found by adding the width of the ring to the radius of the circle). Finally, you can find the area of the ring through subtraction.
Area (White Circle)
radius = 1/2 diameter
radius = (1/2) x 36 ft
radius = 18 ft
Area = πr²
Area = π(18 ft)²
Area = π(324 ft²)
Area = 1017.36 ft²
Area (White Circle + Ring)
radius = 1/2 diameter + width of ring
radius = (1/2 x 36 ft) + 4 ft
radius = 22 ft
Area = πr²
Area = π(22 ft)²
Area = π(484 ft²)
Area = 1519.76 ft²
Area (Ring)
Area (Ring) = Area (White Circle + Ring) - Area (White Circle)
Area (Ring) = 1519.76 ft² - 1017.36 ft²
Area (Ring) = 502.4 ft²
A rectangular block of candy 10 inches by 10 inches by 5 inches is coated on all faces with a very thin layer of chocolate. The block of candy is then cut into cubes measuring 1 inch by 1 inch by 1 inch. What percent of the cubes have no chocolate on them
38.2% of the cubes are without chocolate coated.
CalculationGiven that,
The length ,l= 10 inch
The width ,b=10 inch
The height, h=5 inch
We know that the lateral surface area of the cuboid or rectangular block,
SA= 2(lh+lb+hb)
⇒ SA = 2( 10*5 +10*10+5*10)
⇒ SA =2*200=400 [tex]inch^{3}[/tex]
The volume of the cuboid,V= 10*10*5 =500 [tex]inch^{3}[/tex]
The block of candy is then cut into another small cube 1 inch per side.
length,l=1 inch
width, b=1 inch
height,h=1 inch
So, the surface area of each small cube ,sa= 2(1+1+1) = 6 [tex]inch^{3}[/tex]
Volume of each candy,v= 1*1*1=1 [tex]inch^{3}[/tex]
So, the total number of candy= 500/1 =500 nos.
There is chocolate on each and every piece on the exterior inch. But those who are totally within do not.
A cube measuring 8 inches by 8 inches by 3 inches makes up the inside.
So, the total no of boxes that have no chocolate =8*8*3=192 boxes
So, the percentage = 192*100/500= 38.2 %
Therefore, it is concluded that 38.2% of cubes are without chocolate.
Learn more about the rectangular block here:
https://brainly.com/question/17711536
#SPJ4
A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, T, is the average.
The standard deviation is approximately 0.01307. See the explanation below.
What is standard deviation?The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance.
How do we calculate the standard deviation?Step 1: First, lets calculate the variance.
The formula for variance is:
[tex]\sigma^2 = \frac{\sum_{i=1}^{n}(x_i - \mu)^2} {n-1}[/tex]
To get the variance ( s2 ) we must first get the mean. Our mean is 0.99892.
We subtract each value by the mean and square the difference.
(0.978-0.99892)² = 0.0004376464
(0.982-0.99892)² = 0.0002862864
(0.983-0.99892)² = 0.0002534464
(0.984-0.99892)² = 0.0002226064
(0.987-0.99892)² = 0.0001420864
(0.988-0.99892)² = 0.0001192464
(0.989-0.99892)² = 9.84064e-05
(0.99-0.99892)² = 7.95664e-05
(0.992-0.99892)² = 4.78864e-05
(0.992-0.99892)² = 4.78864e-05
(0.993-0.99892)² = 3.50464e-05
(0.994-0.99892)² = 2.42064e-05
(0.996-0.99892)² = 8.5264e-06
(0.997-0.99892)² = 3.6864e-06
(1-0.99892)² = 1.1664e-06
(1.001-0.99892)² = 4.3264e-06
(1.006-0.99892)² = 5.01264e-05
(1.007-0.99892)² = 6.52864e-05
(1.011-0.99892)² = 0.0001459264
(1.015-0.99892)² = 0.0002585664
(1.015-0.99892)² = 0.0002585664
(1.015-0.99892)² = 0.0002585664
(1.018-0.99892)² = 0.0003640464
(1.02-0.99892)² = 0.0004443664
(1.02-0.99892)² = 0.0004443664.
Step 2: Add all these numbers above
0.0004376464+0.0002862864+0.0002534464+0.0002226064+0.0001420864+0.0001192464+9.84064e-05+7.95664e-05+4.78864e-05+4.78864e-05+3.50464e-05+2.42064e-05+8.5264e-06+3.6864e-06+1.1664e-06+4.3264e-06+5.01264e-05+6.52864e-05+0.0001459264+0.0002585664+0.0002585664+0.0002585664+0.0003640464+0.0004443664+0.0004443664
=0.00410184
Step 3: Now we divide the sum by how many numbers there are. In this case we have 25.
We'll call this number n.
So n=25
For a sample (use 0.00410184 divided by (n-1) ):
So s2 =0.00410184 divided by 24
s2 = 0.00017091
Step 4 - Solve for Standard deviation:
The standard deviation is the square root of the variance. Our variance is 0.00017091.
So we only apply a square root on the variance.
= √ 0.00017091
s = 0.0130732551
Learn more about Standard Deviation:
https://brainly.com/question/475676
#SPJ1
Full Question:
A statistical process control monitoring system samples the inside diameter of ball bearing every hour. Measurements were taken every hour for 25 hours. The target thickness, T, is the average.
0.992 1.015 0.988 0.996 1.015 1.000 0.989 0.994 1.018 0.997 1.020 1.007 1.006 0.982 1.001 0.992 1.020 0.993 0.978 0.984 0.990 1.015 0.983 1.011 0.987
What is the population standard deviation, σ?
i need help with question 2
Answer:
Please see the answer below.
Step-by-step explanation:
Simplify the expression. (5k2)3
Answer:
25k x 3
Step-by-step explanation:
A sequence consists of the positive odd integers 1, 3, 5,. What's the sum of the first 12 terms of the
sequence?
hi
we have an aroithmetic serie of first term 1 and pace 2
so sum of 12 first terms, namming 1 as S1 and 12th term as S12
S12 = 1 + 2*11 = 23
formula of summ : number of term * ( final term + first term) / 2
So sum of terms from S1 +S12 = 12 ( S12 +S1 ) / 2 = 12 * ( 23+1) /2
12* 12= 144
-
For limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 minus = and limit of startfraction x squared minus 4 x minus 12 over x minus 2 endfraction as x approaches 2 plus= . these limits indicate there is an asymptote of .
The given limit indicates that there is a vertical asymptote at x = 2.
What are the vertical asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator. When x tends to these values laterally, the limit of f(x) goes to infinity.
In this problem, the function is:
[tex]f(x) = \frac{x^2 - 4x - 12}{x - 2}[/tex]
The vertical asymptote is:
x - 2 = 0 -> x = 2.
Hence:
[tex]\lim_{x \rightarrow 2^+} f(x)[/tex] and [tex]\lim_{x \rightarrow 2^-} f(x)[/tex] are either positive infinity or negative infinity.
More can be learned about asymptotes at https://brainly.com/question/16948935
#SPJ1
Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y
The linear equation is 45x+50
Linear equation is the equation having the degree 1
Given that the charge per computer repair service is $50
The charge per hour of work is $ 45
We need to show the linear equation that expresses the total amount of money Charlie earns per computer is y
So , Let the number of hours be x
Therefore, the Charlie working hours charge will be 45x
The total amount of money Charlie earns per computer is y
Therefore the linear equation will be
y = 50+45x
Where y = Total amount of money
x = number of hours
Hence the linear equation is y = 45x+50
Learn more about linear equation here
https://brainly.com/question/1884491
#SPJ1
Page 3. Calculate the semi inter quartile range and its coefficients from the table Marks (below) 20 30 40 50 60
No of students 5 12 27 40 50
SOMEONE HELP ME
1. The semi inter quartile range is 10
2. The coefficient of quartile deviation is 0.2
1. How to determine the semi inter quartile rangeMark: 20, 30, 40, 50, 60Freq: 5, 12, 27, 40, 50Com. freq: 5, 17, 44, 84, 134Semi inter quartile range =?1st quartile (Q₁) = (134 + 1) / 4 = 33.75th = 40
3rd quartile (Q₃) = 3 (134 + 1) / 4 = 3 × 33.75 = 101.25th = 60
Semi inter quartile range = (Q₃ - Q₁) / 2
Semi inter quartile range = (60 - 40) / 2
Semi inter quartile range = 10
2. How to determine the coefficient1st quartile (Q₁) = 403rd quartile (Q₃) = 60Coefficient of quartile deviation =?Coefficient of quartile deviation = (Q₃ - Q₁) / (Q₃ + Q₁)
Coefficient of quartile deviation = (60 - 40) / (60 + 40)
Coefficient of quartile deviation = 0.2
Learn more about statistics:
https://brainly.com/question/8974461
#SPJ1
With a perfectly balanced roulette wheel, in the long run, red numbers should turn up 18 times in 38. To test its wheel, one casino records the results of 3,800 plays, finding 1,890 red numbers. Is that too many reds
It is not too many reds, but it is also not a perfectly balanced roulette wheel.
How to find whether the roulette wheel is balanced or not?It is given that the red numbers should come up 18 times when the roulette wheel is played 38 times.
Therefore, the ratio of red numbers to the total number of plays is = 18:38
It is also given that a casino tests the wheel with 3800 plays and noticed that the red numbers came up 1890 times.
The ratio is given as 1890:3800.
We have to simplify this.
1890/3800 = 18.9/38
If the roulette wheel was perfect, it should've been 18:38.
Therefore, we can say that the roulette wheel is not perfectly balanced.
Therefore we have found that it is not too many reds, but it is also not a perfectly balanced roulette wheel.
Learn more about ratios here: https://brainly.com/question/2914376
#SPJ4
A submarine model starts at 8 m above the bottom of the pool. It gradually goes down at a rate of 1\2 m\s
a) Graph the relation on the grid provided. Label the axes.
b) Write an equation to represent the relation.
Pleasee
The equation that represents the relation is y = 8 - 0.5x
How to graph the relation?The given parameters are:
Start = 8m
Rate = 1/2 m/s
The linear equation that represents the submarine movement is:
y = Start - Rate * x
This gives
y = 8 - 1/2 * x
Evaluate
y = 8 - 0.5x
Hence, the equation that represents the relation is y = 8 - 0.5x
See attachment for the graph
Read more about linear equations at:
https://brainly.com/question/14323743
#SPJ1
Solve √5r - 9 - 3 = √r +4-2
Answer:
r = 5
Step-by-step explanation:
Solving radical equations often results in extraneous solutions. These can be avoided by using a graphing calculator for the solution.
GraphThe attached shows that the value of r that makes both sides of the equation have the same value is r = 5.
Check:
√(5·5 -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . true
Analytical solutionSolution of an equation like this is typically done by isolating the radical expressions, then squaring the equation.
We can add 3, square the equation, then isolate the radical and square again:
[tex]\displaysyle \sqrt{5r-9}-3=\sqrt{r+4}-2\\\\\sqrt{5r-9}=\sqrt{r+4}+1\qquad\text{add 3}\\\\5r-9=(r+4)+2\sqrt{r+4}+1\qquad\text{square both sides}\\\\(4r-14)^2=4(r+4)\qquad\text{subtract $(r+5)$ and square again}\\\\16r^2-116r+180=0\qquad\text{rewrite in standard form}\\\\4(4r -9)(r -5) = 0\qquad\text{factor}\\\\r=\{\dfrac{9}{4},\ 5\}\qquad\text{solutions to the factored form}[/tex]
Trying these values in the original equation, we get ...
√((5(9/4) -9) -3 = √(9/4 +4) -2 ⇒ 1.5 -3 = 2.5 -2 . . . . . false
√(5(5) -9) -3 = √(5 +4) -2 ⇒ 4 -3 = 3 -2 . . . . . true
The solution is r = 5.
A tub contains red, blue, green and white counters. 40% of the counters are red or white. The ratio of blue to green counters is 3:2.The ratio of red to white counters is 3: 5. What is the probability of picking a red or green counter?
The probability of randomly getting a red or green counter is:
P = 39%/100% = 0.39
How to get the probability?We know that 40% of the counters are red or white. Then 60% of the counters are blue or green.
Now we know that the ratio of red to white is 3:5
Then the percentage of red counters is:
(3/8)*40% = 15%
And the ratio of blue to green is 3:2
Then the percentage of red counters is:
(2/5)*60% = 24%
Then the percentage of counters that are either red or green is:
15% + 24% = 39%
Then the probability of randomly getting a red or green counter is:
P = 39%/100% = 0.39
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
Ilean works as a welder and
web designer. As a welder, she earns $18 per hour. Last week she
worked x hours as a welder and her friend paid her $75 to design a web page. Write an
expression to represent the total amount llean earned last week.
The expression which can be used to represent the total amount llean earned last week is 75 + 18x
EquationAmount llean earns per hour welding = $18Number of hours worked as welder = xAmount earned as a web page designer = $75An expression to represent the total amount llean earned last week = Amount earned as a web page designer + (Amount llean earns per hour welding × Number of hours worked as welder)
= 75 + (18 × x)
= 75 + 18x
Learn more about equation:
https://brainly.com/question/27887972
#SPJ1