Answer:
Step-by-step explanation:
let the number =x
then
x²-124=200
x²=200+124
x²=324
x=18
2/5 of a number is 2/5 greater than 1/3 of a number? What is the number?
Answer:
5
Step-by-step explanation:
For what value of x is quadrilateral CDEF a parallelogram?
Answer:
x = 2.
Step-by-step explanation:
If its a parallelogram then the diagonal will be bisected so:
4x + 7 = 10x - 5
7 + 5 = 10x - 4x
12 = 6x
x = 2.
Eric and Sarah both have lemonade stands. The graph below represents how many cups of lemonade Eric sells per day. The equation represents the rate at which Sarah makes lemonade. Who sold more cups of lemonade in 5 days?
Answer:
Eric
Step-by-step explanation:
At 5 days (the x axis), the y axis is 60 which is how much lemonade he sold.
sarah sold 10x or 10 x 5 days=50 cups.
‘Eric sold 60, Sarah sold 50
Please help!!!! ASAP!! I’ll give brainliest!!!
Answer:
First column 35
Second column 60
It is 91.6083916% likely that the soil sample contains organic matter
Step-by-step explanation:
700 -655= 35
300 -240= 60
655 +60 = 715
715÷655 = 0.916083916
0.916083916 x 100 = 91.6083916%
what is the probability that a randomly selected upper level statistics class has at least 10 students g
Answer:
0.55
Step-by-step explanation:
Given
See attachment for table
Required
[tex]P(x \ge 10)[/tex]
To do this, we consider rows where x is either 10 or greater than 10
i.e. 10, 11 and 12
So:
[tex]P(x \ge 10) = P(10) + P(11) + P(12)[/tex]
Using values from the table, we have:
[tex]P(x \ge 10) = 0.20 + 0.25 + 0.10[/tex]
[tex]P(x \ge 10) = 0.55[/tex]
Pls help me for 20 points
Answer: first one a+3
next one 3(a+3)
next one (a+3)-3
next one a*3
part b
D divided by 4
D-4
4 divide by D
4-D
Step-by-step explanation:
what is 36% of a number,n, if 80% of that number is 200
Answer:
90
Step-by-step explanation:
80% of n = 200
Change to decimal form
.80n = 200
Divide each side by .80
.80n/.80 = 200/.80
n =250
Now find 36% of that number
36% of 250
.36*250
90
a statistic class has the following activities and weights for determining a grade in the course: test 1 worth 15% of the grade, test 2 worth 15% of the grade, test 3 worth 15% of the grade, homework worth 10% of the grade, semester project wortj 20% of the grade, and the final exam worth 25% of the grade. if a student erceives a 92 on test 1, an 85 on test 2, a 95 on test 3, 1 93 on the homework, a 55 on the project, and an 83 on the final, what grade did the student earn in the course
Answer:
The student earned a grade of 81.85 in the course.
Step-by-step explanation:
We find the weighed average for the student.
Grades and weights:
Test 1 is worth 15%, student earned 92.
Test 2 is worth 15%, student earned 85.
Test 3 is worth 15%, student earned 95.
Homework is worth 10%, student earned 93.
Project is worth 20%, student earned 55.
Final exam is worth 25%, student earned 83.
Final grade:
[tex]G = 0.15*92 + 0.15*85 + 0.15*95 + 0.1*93 + 0.2*55 + 0.25*83 = 81.85[/tex]
The student earned a grade of 81.85 in the course.
Order the temperatures for the week from hottest to coldest: 25 degrees, 2 degrees below zero, -16 degrees, and 40 degrees above zero.
A. -2°, -16°, 25°, 40°
B. -16°, -2°, 259, 16°
C. 40°, 25°, -16°, -2°
D. 40°,25°, 2°, -16°
E. 40°, 250, -2°, -16°
Answer:
C. 40,25,-16,-2 Celsius
Find the length of AB. A 0140 AB = [?] 140° 8 m B Round your answer to the nearest hundredth.
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Radius (r) = 8mAngle made at centre [tex](\theta)[/tex] = 140°[tex] \boxed{ \mathrm{length \: \: of \: \: arc = \dfrac{ \theta}{360 \degree} \times 2\pi r}}[/tex]
[tex] \dfrac{140}{360} \times 2 \times 3.14 \times 8[/tex][tex] \dfrac{7}{18} \times 50.24[/tex][tex] \dfrac{351.64}{18} [/tex][tex]19.54 \:m[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
Length of arc AB on circle is 30.72 m.
What is circular arc?A circular arc is an arc between two different points. If the two points are not diametrically opposed, one of these arcs, the minor arc, forms an angle of less than π radians (180 degrees) with the center of the circle. The other circular arc, the main arc, makes an angle greater than π radians. An arc is defined as a portion or segment of the circumference. A straight line connecting the two ends of an arc is called a chord. If the arc length is exactly half the circle, it is called a half arc.
Given,
Circle with center O
Radius of circle OA = OB = 8m
Angle made by minor arc AB on center of circle α = 140°
then angle made by main arc AB = 360° - 140° = 220°
π = 180°
1° = π/180°
220° = 220°π/180°
220° = 11π/9
220° = 3.84 Rad
Length of arc on circle
= Radius of circle × angle made by the arc on center of circle in radians
= 8 × 3.84
= 30.72 m
Hence, 30.72 m is length of the arc AB.
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Solve the system of equations -x-y=-4−x−y=−4 and -2x+4y=4−2x+4y=4 by combining the equations.
9514 1404 393
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
We can put the second equation into standard form by dividing by -2.
x -2y = -2
Adding this to the first equation eliminates x
(x -2y) +(-x -y) = (-2) +(-4)
-3y = -6
y = 2 . . . . . divide by -3
-x -(2) = -4 . . . . substitute for x in the first equation
2 = x . . . . . . . . add 4+x
The solution is (x, y) = (2, 2).
beth is 2 years older than jimmy, and in 3 years the sum of their ages will be twice as much as the sum of their ages 3 yrs ago. fing their present ages
Answer: 10
Step-by-step explanation:
The half-life of a radioactive substance is 11 days. After 12 days a sample of the substance has been reduced
to a mass of 4 mg.
What was the initial mass (in mg) of the sample?
Using your answer from above, after how many days will there only be 0.6 mg of substance left?
(Round your answer to 2 decimal places if needed)
The initial mass of the sample is 8.51 mg. The time taken for 0.6 mg of the sample to remain is 42 days.
How to the determination of the initial mass of the sample can be calculated?We'll begin by calculating the number of half-lives that have elapsed
[tex]n = t / t^{1/2}\\[/tex]
where Half-life (t½) and Time (t)
Half-life (t½) = 11 days
Time (t) = 12days
A number of half-lives (n)
[tex]n = t / t^{1/2}\\n = 12 / 11\\[/tex]
Number of half-lives (n) = 12/11
Amount remaining (N) = 4 mg
Initial amount (N₀)
[tex]N_0 = N\times 2^n\\\\N_0 = 4\times 2^{12/11}\\\\N_0 = 8.51\\[/tex]
Therefore, the initial mass of the sample is 8.51 mg.
Determination of the time
Amount remaining (N) = 0.6 mg
Initial amount (N₀) = 8.51 mg
Number of half-lives (n)
[tex]2^n= \frac{N_0}{N} \\\\2^n= \frac{8.51}{0.6} \\\\2^n= 14.19\\\\[/tex]
Take log both sides
[tex]log 2^n= log14.19\\\\n log2= log14.19\\\\n= log14.19/log2\\\\n = 3.82[/tex]
Finally, we shall determine the time
Number of half-lives (n) = 3.8
Half-life (t½) = 11 days
Time(t) t = n × t½
t = 3.8 × 11
t = 42 days
Therefore, it will take 42 days for 0.6 mg of the sample to remain.
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Why is c correct pleaseee I need helppp!!
Answer:
C is correct because when multiplying 15 times 15(15^2) you get 225. Then by multiplying 3 times 3 times 3 times 3 times 3 (3^4) you get 81. The next step would be to subtract 225-81 which would leave you with 144. 15^2-3^4= 144. To get the answer of 12^2 you would multiply 12 times 12 which =144. So 144=144.
Step-by-step explanation:
A simple answer would be c=144 and 12^2=144
Answer:
It is C because 12 to the power of two equals 144
Step-by-step explanation:
it's C because
15 to the power of 2 equals 225 and 3 to the power of 4 equals 81 so if you substract 225 and 81 that will give you 144.
Best of luck and I hope it helps.
By what percent will a fraction increase if its numerator is INCREASED by 60% and its denominator is decreased by 20%?
Please Help will give Brainliest!!!!!!
Answer:
100%
Step-by-step explanation:
let , a/b is a fraction
=> a+60% = 1.6 a
and b-20% = 0.8b
so, the new fraction is
(1.6a) /(0.8b) = 2(a/b)
from a/b to 2(a/b) => increase 100%
What is the area? PLEASE HELP
Answer:
14mm×20mm=280mm²
14mm×12mm/2=84mm²
3.14×10²mm=314mm²
280m²+84mm²+314mm²=678mm²
Answer:
521mm^2
Step-by-step explanation:
First, separate the shapes.
-Half circle= diameter of 20, radius 10
-Rectangle= 14x20
-Triangle= (32-20)x14= 12x14
Then, calculate
Circle equation= (pi)r^2= (pi)(10)^2= 314.16 -> divide by 2 for half circle= 157.1
Rectangle= 14x20=280
Triangle= (12x14)=168 -> Divide by two because it's a triangle= 84
Add 157 + 280 + 84 and you get 521
find x and y. give answer in insimplified radical form, not decimal.
Finding x,
We will use Pythagoras theorem to determine the value of x:
[tex]9^{2} = {8}^{2} + {x}^{2} \\ 81 = 64 + {x}^{2} \\ 81 - 64 = {x}^{2} \\ {x}^{2} = 17 \\ x = \sqrt{17} [/tex]
Finding y,
We have to determine the angle, at the bottom left of the bigger triangle.
Using sine rule,
[tex] \frac{9}{sin(90)} = \frac{8}{sin(z)} \\ sin(z) = 0.8889 \\ z = {sin}^{ - 1} (0.8889) \\ z = 62.73[/tex]
To find the angle on the smaller triangle,
[tex]a = 90 - 62.73 \\ a = 27.27[/tex]
Finding the missing length of y,
[tex] \frac{ \sqrt{17} }{sin(62.73)} = \frac{m}{sin(27.27)} \\ m = 2[/tex]
So y = 2 + 8, y = 10
Find M Please help!!!! Last question worth 10 points!
Answer:
<A = 75degrees
Step-by-step explanation:
From the triangle given;
arcDA + arc AD + arcBD = 360 degrees
131 + 79 + arcBD = 360
210 + arcBD = 360
arcBD = 360 -210
arcBD = 150 degrees
Since the angle at the vertex <A is half that at the arc BD, hence;
<A = 1/2 arcBD
<A = 1/2 * 150
<A = 75degrees
Hence the measure of angle A s 75degrees
A doctor has 53 ccs of a 40% solution of a pain killer. How much sterilized water should be added to get a 27% solution?
Answer:
35.775
Step-by-step explanation:
So, 53 is the amount of ccs that makes a 40% solution.
How can we find the ccs of 27% solution?
Well, we should first find teh amount of ccs per 1%.
To do this, divide 53 by 40:
53/40
=
1.325
Now multiply this by 27 to get the amount of ccs for 27%:
27*1.325
=
35.775
Hope this helps! :)
What is the surface area of the right cone below?
The surface area of the right cone in terms of pi is 176π units².
How to calculate the surface area of a cone?A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.
The surface area of a cone is expressed as;
Surface area = πrl + πr²
Where r is the radius of the base, l is the slant height of the cone and π is constant pi.
From the diagram:
Radius r = 8 units
Slant height h = 14 units
Surface area =?
Plug the given values into the above formula and solve for surface area:
Surface area = πrl + πr²
Surface area = ( π × 8 × 14 ) + ( π × 8² )
Surface area = ( π × 112 ) + ( π × 64 )
Surface area = 112π + 64π
Surface area = 176π units²
Therefore, the surface area is 176π units².
Option A)176π units² is the correct answer.
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HELP PLS HELP PLS HELP PLS HELP PLS
Answer:
Step-by-step explanation:
Surface area of a cube of side-length 0.5m
= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.
NO LINKS. Find the segment length indicated. Assume that lines which appear to be tangent are tangent. PLEASE SHOW WORK!!
Answer:
? = 9.2
Step-by-step explanation:
The angle between a tangent and radius at the point of contact is 90°
Then the triangle shown is right with legs ? , 6.9 and hypotenuse = (6.9 + 4.2) = 11.5
Using Pythagoras' identity in the right triangle
?² + 6.9² = 11.5²
?² + 47.61 = 132.25 ( subtract 47.61 from both sides )
?² = 84.64 ( take the square root of both sides )
? = [tex]\sqrt{84.64}[/tex] = 9.2
Answer:
Solution given:
BC=BD=6.9 units
AD=4.6units
Now
AB=4.6+6.9=11.5units.
we have
<C=90°[the line from the tangent is perpendicular to the radius of circle]
we know that ∆ABC is a right angled triangle.
hypotenuse [h]=AB=11.5units
base[b]=BC=6.9 units
perpendicular [p]=x units
By using Pythagoras law
h²=p² +b²
11.5²=x²+6.9²
x²=11.5²-6.9²
x²=84.64
x=[tex] \sqrt{86.64} [/tex]=9.2
Sothe segment length indicated is 9.2 units.
What is the zero of r(x)
=
8/3X-16
Answer:
x = 6
Step-by-step explanation:
(8/3)x - 16 = 0
Add 16 to both sides
(8/3)x = 16
Multiply both sides by 3/8
x = 16(3/8)
x = 6
Arrivals of cars at a gas station follow a Poisson distribution. During a given 5-minute period, one car arrived at the station. Find the probability that it arrived during the last 30 seconds of the 5-minute period g.
Answer:
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Step-by-step explanation:
The car is equally as likely to arrive during each second of the interval, which means that the uniform distribution is used to solve this question.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X \geq x) = \frac{b - x}{b - a}[/tex]
5-minute period
This means that [tex]a = 0, b = 5*60 = 300[/tex]
Find the probability that it arrived during the last 30 seconds of the 5-minute period.
300 - 30 = 270. So
[tex]P(X \geq 270) = \frac{300 - 270}{300 - 0} = 0.9[/tex]
0.9 = 90% probability that it arrived during the last 30 seconds of the 5-minute period.
Sove for X choose one. Pls
Answer:
Step-by-step explanation:
need help too
Which of the following ordered pairs are solutions to the system of equations below?
(3x + 5y = 14
y = 1/2x + 5)
O (2.4)
0 (-2,4)
O (2,6)
O (-2,6)
Answer:
(- 2, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 5y = 14 → (1)
y = [tex]\frac{1}{2}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)
3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14
3x + [tex]\frac{5}{2}[/tex] x + 25 = 14
[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )
[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )
11x = - 22 ( divide both sides by 11 )
x = - 2
Substitute x = - 2 into (2) for corresponding value of y
y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4
solution is (- 2, 4 )
If a fair, -sided die is rolled twice, what is the probability It will land on 1 and then 6?
Answer:
The probability that the die will land on 1 and then 6 is 2.77%.
Step-by-step explanation:
Given that a fair sided die is rolled twice, to determine what is the probability It will land on 1 and then 6 the following calculation must be performed:
1/6 x 1/6 = X
0.166666 x 0.166666 = X
0.0277777 = X
0.0277777 x 100 = 2.77
Therefore, the probability that the die will land on 1 and then 6 is 2.77%.
Answer:
2.78%
Step-by-step explanation:
got it right on test
The cost of 6 pens is $3.60. What would 2 dozen cost?
$14.40. And then you have the tax. :D
Have A Great Day.
The cost of 2 dozen pens will be "$14.4".
Given:
Cost of 6 pens,
$3.60As we know,
1 dozen = 12then,
12 dozen = [tex]12\times 2[/tex]= [tex]24[/tex]
Now,
→ The cost of 1 pen will be:
= [tex]\frac{3.60}{6}[/tex]
= [tex]0.6[/tex] ($)
hence,
→ The cost of 24 pens (2 dozen) will be:
= [tex]0.6\times 24[/tex]
= [tex]14.4[/tex] ($)
Thus the above solution is right.
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If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)?
Answer:
g(x) is not the inverse of f(x)
Step-by-step explanation:
If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)
We need to show that f(g(x)) = g(f(x))
f(g(x)) = f(5x+5)
f(5x+5) = 5(5x+5) - 25
f(5x+5) =25x+25 - 25
f(5x+5) = 25x
f(g(x)) = 25x
Similarly;
g(f(x)) = g(5x-25)
g(5x-25) = 5(5x-25) + 5
g(5x-25) = 25x - 125 + 5
g(5x-25) = 25x - 120
This shows that g(x) is not the inverse of f(x)
What set does 30 belong to
Answer:
30 belongs to the set of real numbers, the set of rational numbers, the set of whole numbers, the set of natural numbers and the set of integers.
Step-by-step explanation: