Answer: x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
Step-by-step explanation:
2x^2 = 4 + 6x
divide both sides by 2
x^2 = 2 + 3x
move expression to the left
x^2 - 2 - 3x = 0
reorder the terms
x^2 - 3x - 2 = 0
use the quadratic formula
x = - (-3) +- sqrt (-3)^2 - 4 x (-2) / 2 x 1
calculate
x = 3 +- sqrt 17 / 2
answer
x = 3 - sqrt 17 / 2 , x = 3 + sqrt 17 / 2
I need to find the answer to 3 questions. Which measure of central tendency is most representative of the data 6, 8, 3, 5, 32, 6, 5, 4, 28, 2, 2, 2. Which measure of central tendency is most representative of the data. 1, 3, 17, 20, 4, 3, 18, 1, 2, 19. and 15, 10, 13, 20, 152, 18, 8, 5, 13
Step-by-step explanation:
the first one is 2 that appears most while the second is 20 and 3
What is the radian measure of an angle of 75º?
Drag the expressions into the order in which the expressions are listed from greatest value to least value. Place the expression with the greatest value at the top and the one with the least value at the bottom.
(5280×10)−(314×10)
5280−314
10.6× (5280 −314)
(5280−314)÷111
Step-by-step explanation:
I did the test!Greatest expression=10.6× (5280 −314)
Least expression= (5280−314)÷111
Step-by-step explanation:Definition of greatest value and least valueThe greatest value is the maximum value in given observation and least value is the minimum value in the given observation.
Solution of first expression
[tex](5280*10)-(314*10)= 52800-3140\\=49660[/tex]
Solution of second expression
[tex]5280-314= 4966[/tex]
Solution of third expression
[tex]10.6*(5280-314)=53632.8[/tex]
Solution of fourth expression
[tex](5280-314)/111=44.74[/tex]
From the above observation we can observe that greatest and least value are 53632.8 (which is third expression ) and least value 44.74(which is fourth expression)
To know more about solving expression
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Is AB tangent to circle C?
Answer:
The line AB is a tangent of the circle with center C.
The following data points represent the number of
patients that were seen by each doctor at Brodin Medical
Center last week.
Sort the data from least to greatest.
4 9
17 7 12
11
5
Find the median number of patients.
Expand to write an equivalent expression
-5(7m-2)
1. Find the surface area of the triangular pyramid.
12 yd
17.3 yd
20 yd
What is the surface area of the triangular pyramid
Frank writes his name in both French and English with chalk, pen, pencil and marker. How many different ways did he write his name?
Answer:
8
Step-by-step explanation:
There are 4 possible ways he could have written it: chalk, pen, pencil, and marker.
There are 2 ways he wrote it: French and English
4*2=8
He wrote his name in 8 different ways.
Solve for a side in right triangles
please give me an explanation and your work
Answer:
-0.3*0.2*12, multiply -0.3 by 0.2 to get -0.06, now multiply 12 by it to get, -0.72.
Step-by-step explanation:
24 to the second power divided by 47
Answer:
[tex]\frac{576}{47}[/tex]
Step-by-step explanation:
[tex]24^{2} = 576[/tex], since 47 is a prime number and 576 isn't divisible by it, [tex]\frac{576}{47}[/tex] would be the best answer.
Sean and Hope are going bowling. For each person, a game costs $4.25. Shoe rentals are $3.00. Sean gives the clerk $20 for their admission and shoe rental. How much change should he receive? *
1 point
$12.75
$5.50
$9.75
$14.50
PLZ HELPPP ME NEED IT BY TODAYYYYYYYYYY!!!!!!!!!!!!!
Answer:
The answer is 5.50.
Step-by-step explanation:
First, you do 4.25+3.00=7.25
Second, 20-7.25=12.75
but read the beggining again it says sean AND hope so repeat the step again.
First, you do 4.25+3.00=7.25
Second, 20-14.50=5.50
Can someone help me pls I’m stuck
Answer:
Given quadrilateral can't be inscribed in a circle.
Step-by-step explanation:
Property of a cyclic quadrilateral,
Sum of opposite angles of a cyclic quadrilateral is 180°
If the given quadrilateral fulfills this property, it can be inscribed in a circle.
From the given quadrilateral,
Sum of opposite angles = 168° + 22°
= 190°
Therefore, answer is NO.
Given quadrilateral can't be inscribed in a circle.
which event is unlikely, but not impossible?
A. spinning a spinner split into a 16 equal sections labeled 1-16 and landing on a 3
what is the surface area of the cylinder with the height of 6ft and the radius of 6ft. round your answer to the nearest thousandth.
please NO LINKS!!!
A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover? 7ft 14ft
Answer:
The anser is 14 times 7 = 98ft
Step-by-step explanation:
giving brainliest *easy*!!
Answer:
254.47
Step-by-step explanation:
254.469
Use the washer method to find the volume?
It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
THANKS
please i am struggling allot please
Answer:
The tree grows 3,14 centimeters per year
What is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet? Be sure to convert so you are using like units.
Answer:
The height of the tank is 0.5 yards.
Step-by-step explanation:
To determine what is the height, in yards, of a cylindrical water tank that holds 1,884 cubic yards of water and has a diameter of 120 feet, knowing that the volume of a cylinder is equal to pi multiplied by the radius squared, multiplied by the height, the following calculation must be done:
1 foot = 0.3333 yards
R = Diameter / 2
R = 120/2 = 60
3.14 x 60 ^ 2 x H = 1,884
3.14 x 3,600 x H = 1,884
3.14 x 1,200 x H = 1,884
3.768 x H = 1.884
H = 1,884 / 3,768
H = 0.5
Therefore, the height of the tank is 0.5 yards.
Find the surface area of the regular pyramid to the nearest tenth
Answer:
668.17
Step-by-step explanation:
Arsenic is an element that occurs naturally in groundwater, but a mean greater than 8.0 parts per billion indicates that the groundwater has been contaminated. Local officials are concerned about a well in an area of the city near a factory. On 50 consecutive days, water was randomly sampled from the well. Assume the water in the well has a mean arsenic level greater than 8.0 ppb. Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
Answer:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
a correct decision.
Step-by-step explanation:
Since there is enough evidence to conclude that the mean level of arsenic is greater than 8.0 ppb, the correct decision has been made. There is no type I or type II error. The type I error (called a false positive) occurs if we reject the null hypothesis when it is true. Since we have simply rejected the null hypothesis when the alternate hypothesis is true, and the null hypothesis should be rejected, a correct decision has been made.
Answer:
decision
Step-by-step explanation:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made decision
Which of the data sets below has a mean of 32? Select all that apply.
A) 45, 21, 33, 29
B) 18, 54, 24
C) 14, 56, 34, 18, 23
D) 34, 35, 21, 29, 46
Answer:
B is the correct answer
Step-by-step explanation: When you add 18+54+24=96 divide 96 by 3 and its 32!
(Middle school) I’ll give brainliest
Answer:
150.72 units^3
Step-by-step explanation:
Formula: πr2h
3.14 x 4^2 x 3 = 150.72 units^3
Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.
Answer:
bro i didt undersated the question
Step-by-step explanation:
Find the area of each figure. Round to the nearest tenth if necessary
Answer:
c. 952.4 in²
Step-by-step explanation:
The figure can be decomposed into a square, a trapezoid and a semicircle
Find the area of each to determine the area of the figure.
✔️Area of square = s²
s = 13 in
Area of square = 13² = 169 in²
✔️Area of trapezoid = ½(a + b)h
a = 13 in
b = 30 in
h = 20 in
Area of trapezoid = ½(13 + 30)20
= 430 in²
✔️Area of semicircle = ½(πr²)
r = ½(30) = 15 in
Area = ½(π*15²)
Area ≈ 353.4 in²
✅Area of the figure = 169 + 430 + 353.4
= 952.4 in²
Let f(x)=4(1/3)^2x. Which is equal to f(1)?
Answer:
[tex]\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]f(1) = 4(\frac{1}{3})^{2*1} = 4(\frac{1}{9}) = \frac{4}{9}[/tex]
Please someone help Im confused
Answer:
Third one
Step-by-step explanation:
;b
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: the answer is c
Step-by-step explanation:
Answer:
Angles STQ & RQT
Step-by-step explanation:
They are on opposite sides, but they are also interior.
Hope this helps! Have a good day!
HELPPPPPPP PLEASE AND BRAINLY STOP ASKING ME TO WRITE MORE IM IN URGENCY
Answer: 1,431
Step-by-step explanation:
split the thing into two rectangular prisms
small prism dimensions: 18 x 2 x 3
multiply the dimensions to get 108
large prism dimensions: 7 x 21 x 9
multiply the dimensions to get 1,323
add 1,323 and 108 together to get 1,431
