Answer:
2x^2 -5x +5
Step-by-step explanation:
f(x)=2x^2-8x+6 and g(x)=3x-1
f(x)+g(x) = 2x^2-8x+6 +3x-1
Combine like terms
= 2x^2 -5x +5
Answer:
2x^2 -5x +5
Step-by-step explanation:
The average mark of candidates in an aptitude test was 128.5 with a standard deviation of 8.2.Three scores extracted from the test 148,102,152,what is the average of the extracted scores that are extreme values(outlier).
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: mark obtained in an aptitude test by a candidate.
This variable has a mean μ= 128.5 and standard deviation σ= 8.2
You have the data of three scores extracted from the pool of aptitude tests taken.
148, 102, 152
The average is calculated as X[bar]= Σx/n= (148+102+152)/3= 134
I hope this helps!
If a room is 18ft long and 12 ft wide how many 1 ft by 1 ft tiles would be needed to completely cover the floor?
Answer:
216
Step-by-step explanation: If they are 1 by 1 tiles that means that all you need to do is multiply 18 by 12 to get 216. Hope this helps :)
Answer:
216 Tiles
Step-by-step explanation:
18 by 12
8*12=216
Use a Tile Calculator plus this is easy
Wastage: 5%
Tiles with Wastage = 227 Tiles
НА
.
-
НА
N
1 point
Which has a value 10 times greater than 0.008?
о 0.8
o0.08
ов
а
3
80
????????????????????
A table has an area of 12 li and a perimeter of 16 ft. What are the dimensions of
O
O
2 ft by 6 ft
2 ft by 8 ft
4 ft by 3 ft
4 ft by 4 ft
O
Your answer would be i'm pretty sure 2ft by 6 ft or 4ft by 3ft I am not positively sure but if I did my maths right then they should be our answer(s) not sure...still.
Tony rounded 1,143 and 1,149
Answer:
1140 and 1150
Step-by-step explanation:
If your rounding to the tens place.
The rule for rounding is to look at the digit before the one you want to round to.
So if you want to round to the nearest tens, then look at the ones.
If the digit is 0-4 round down. If 5-9 round up.
1143 rounds to 1140 because of the 3
and 1149 rounds to 1150 because of the 9.
Answer:
1200 and 1100
Step-by-step explanation:
Tony rounded each of the numbers 1183 and 1145 to the nearest hundred.
To round the number to nearest hundred , check the digit in tens place.
If the number in tens place is greater than or equal to 5 then we add 1 in hundreds place
If the number in tens place is less than 5 then we replace the remaining digits by 0
In 1183, we have 8 in tens place so 1183 is rounded to 1200
In 1145, we have 4 in tens place so 1145 is rounded to 1100
How to factor Trinomial?
Answer:(x+10)(x+9)
Step-by-step explanation:
x^2+19x+90
x^2+10x+9x+90
x(x+10)+9(x+10)
(x+10)(x+9)
2 x 6.9 - 4.6 + 1.3 =
Answer:
10.5
Step-by-step explanation:
Answer:
Here is the answer:
Step-by-step explanation:
10.5
Write the fraction in lowest terms.
28
32
Answer:
7/8
Step-by-step explanation:
28/32
Divide the top and bottom by 4
28/4 = 7
32/4 = 8
28/32 = 7/8
4/5 dived by 3/4
Please help
Answer:
1 1\15
Step-by-step explanation:
Trust me,I will give braineist. I swear to god.
Answer:
= 1696m^3
Step-by-step explanation:
V = πr²h
= 3.14 x 6 x 6 x 15
= 3.14 x 540
= 1695.6 m^3
= 1696m^3
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer:
A. p + q = b
D. p · q = c
Step-by-step explanation:
It's best to look at an example, such as this:
[tex]x^2 - 12x + 35[/tex]
And it's factored form is:
(x - 5) (x - 7)
As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).
Answer:
A and D
Step-by-step explanation:
STOP REPORTING MY ANSWER!!
Kono Dio Da!!!
Which of the following are perfect squares? Check all that apply.
Answer: 16, 64, and 49
Step-by-step explanation: Perfect squares are products made by squaring or multiplying a whole number by itself twice.
11 is not a perfect square since nothing can
be multiplied by itself to give us 11.
The same is true for 62 and 15.
16 is a perfect square since it's possible to find a whole number that can be multiplied by itself to give us 16.
That number is 4 since 4 × 4 = 16.
64 is also one since 8 can be multiplied by itself twice to give us 64.
49 is also one since 7² or 7 × 7 is 49.
Answer:D,E and F
Step-by-step explanation:
Perfect squares are numbers in which their square roots are whole numbers.
From the options
√16 =4
√64 =8
√49 =7
.......helppppppppp.......
44.44% or 4/9
percentage
200/450=.444...
.444x100=44.44%
fraction
200/450 is simplified to 4/9
Answer:
~ probability of 4/9 ~
Step-by-step explanation:
1. Here we can see that 1 box ⇒ I car, so the cars are equal to the boxes (450 boxes, 450 cars)
2. As this is true, to determine the probability a cereal box has a blue car in it, out of the 450 cereal boxes there are 200 blue cars, in a fraction expressed as such: 200/450
3. This value can be simplified through simple algebra, to be: probability of 4/9, which was computed through division of 50 on 200 and 450
Find the missing value in the equivalent ratio 18:27 = 16:___
Answer:24
Step-by-step explanation:
18:27=16:__ let__=h
18:27=16:h
18/27=16/h
Cross multiply
18 x h=16 x 27
18h=432
Divide both sides by 18
18h/18=432/18
h=24
A math class is having a discussion on how to determine if the expressions 4x-x+5 and 8-3x-3 are equivalent using
substitution. The class has suggested four different methods.
Which describes the correct method?
O Both expressions should be evaluated with one value. If the final values of the expressions are both positive, then the two
expressions must be equivalent.
Both expressions should be evaluated with one value. If the final values of the expressions are the same, then the two
expressions must be equivalent.
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are positive, then the two expressions must be equivalent.
O Both expressions should be evaluated with two different values. If for each substituted value, the final values of the
expressions are the same, then the two expressions must be equivalent.
6:55 PM
5/15/2020
o
Type here to search
Answer:
Both expressions should be evaluated with two different values. If for each substituted value, the final values of the expressions are the same, then the two expressions must be equivalent.
Step-by-step explanation:
Both expressions are linear expressions. It takes 2 points to define a line. If the lines defined by each expression go through the same two points, then the expressions are equivalent.
If the expressions have the same value for two different variable values, they are equivalent. (choice D)
_____
Additional comment
One more point is needed than the degree of the polynomial expression. That is, quadratic (degree 2) expressions will be equivalent if they go through the same 2+1 = 3 points.
100 POINTS
PLEASE PROVIDE STEPS.
THANK YOU!!!
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
f(x) = sin x
The average value of a function between x=a and x=b is:
avg = 1/(b−a) ∫ₐᵇ f(x) dx
avg = 1/(π−0) ∫₀ᵖⁱ sin x dx
avg = 1/π (-cos x) |₀ᵖⁱ
avg = 1/π (-cos π − (-cos 0))
avg = 1/π (1 + 1)
avg = 2/π
h(x) = x⁴/12 − x²/6
Find the second derivative.
h'(x) = x³/3 − x/3
h"(x) = x² − ⅓
Factor using difference of squares.
h"(x) = (x − 1/√3) (x + 1/√3)
h"(x) = 0 when x = ±1/√3. Evaluate the sign of h"(x) in each interval.
-∞ < x < -1/√3, h"(x) > 0.
-1/√3 < x < 1/√3, h"(x) < 0.
1/√3 < x < ∞, h"(x) > 0.
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Answer:
2/π
h(x) is concave up on the intervals (-∞, -1/√3) and (1/√3, ∞).
h(x) is concave down on the interval (-1/√3, 1/√3).
Step-by-step explanation:
Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.
Briefly describe how the word lengths compare between textbook 2 and textbook 1.
Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :(
Answer:
k = 13The smallest zero or root is x = -10
Step-by-step explanation:
you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
300 students attended the dedication ceremony of a new building on a college campus the president of the traditionally female college announced a new expansion programme which included plans to make the college co-educational the number of students who learnt of the new program t hours later is given by the function
Complete Question
The complete question is shown on the first uploaded image
Answer:
The number of student that have heard the announcement after 4 hours is
[tex]f(4) = 530[/tex]
Step-by-step explanation:
From the question we are told that
[tex]f(t) = \frac{6000}{1 + Be^{-kt}}[/tex]
Now at time t = 0 f(t) = 300 this because at the time the announcement was made the number of student present was [tex]f(0) = 300[/tex]
so
[tex]f(0) = \frac{6000}{1 + Be^{-k(0)}}[/tex]
[tex]300 = \frac{6000}{1 + Be^{-k(0)}}[/tex]
[tex]1 + B = 20[/tex]
=> [tex]B = 19[/tex]
So the above equation becomes
[tex]f(t) = \frac{6000}{1 + 19 e^{-kt}}[/tex]
Now at the given time t = 2hr [tex]f(2) = 400[/tex]
So
[tex]f(2) = \frac{6000}{1+19e^{-2k}}[/tex]
[tex]400 = \frac{6000}{1+19e^{-2k}}[/tex]
[tex]1+ 19 e^{-2k} = 15[/tex]
[tex]19 e^{-2k} = 14[/tex]
[tex]e^{-2k} = 0.7368[/tex]
[tex]-2k =-0.3054[/tex]
[tex]k = 0.1527[/tex]
So the equation is now
[tex]f(t) = \frac{6000}{1+ 19e^{-0.1527t}}[/tex]
Now at t = 4 hrs we have that
[tex]f(4) = \frac{6000}{1+ 19e^{-0.1527* 4}}[/tex]
[tex]f(4) = 530[/tex]
Water is leaking out of an inverted conical tank at a rate of 8200.08200.0 cm3/min cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 11.0 m11.0 m and the the diameter at the top is 4.5 m4.5 m. If the water level is rising at a rate of 16.0 cm/min16.0 cm/min when the height of the water is 3.0 m3.0 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute. Answer: cm3/min
Answer:
I' = 197,474.47 cm^3/min
the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min
Step-by-step explanation:
Given;
Tank radius r = d/2 = 4.5/2 = 2.25 m = 225 cm
height = 11 m
Change in height dh/dt = 16 cm/min
The volume of a conical tank is;
V = (1/3)πr^2 h .....1
The ratio of radius to height for the cone is
r/h = 2.25/11
r = 2.25/11 × h
Substituting into equation 1.
V = (1/3 × (2.25/11)^2)πh^3
the change in volume in tank is
dV/dt = dV/dh . dh/dt
dV/dt = ((2.25/11)^2)πh^2 . dh/dt ....2
And change in volume dV/dt is the aggregate rate at which water is pumped into the tank.
dV/dt = inlet - outlet rate
Let I' represent the rate of water inlet and O' represent the rate of water outlet.
dV/dt = I' - O'
Water outlet O' is given as 8200 cm^3/min
dV/dt = I' - 8200
Substituting into equation 2;
I' - 8200 = ((2.25/11)^2)πh^2 . dh/dt
I' = ((2.25/11)^2)πh^2 . dh/dt + 8200
h = 3.0 m = 300 cm (water height)
Substituting the given values;
I' = ((2.25/11)^2)×π×300^2 × 16 + 8200
I' = 197,474.47 cm^3/min
the rate at which water is being pumped into the tank in cubic centimeters per minute is 197,474.47 cm^3/min
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. p + q = b
D. p · q = c
Step-by-step explanation:
It's best to look at an example, such as this:
[tex]x^2 - 12x+ 35[/tex]
And it's factored form is:
(x - 5) (x - 7)
As you can see, if you add -5 (p) and -7 (q), you get -12 (b). Then, if you multiply -5 (p) and -7 (q), you get 35 (c).
Plz help ..............!!!!!
Answer:
1.8
is the median
Answer: 1.8
Step-by-step explanation: 1.8 is the median
A cylinder has a base radius of 9 feet and a
height of 4 feet. What is its volume in
cubic feet, to the nearest tenths place?
Answer:
1017.88
Step-by-step explanation:
Answer:
1017.876 cubic ft.
Step-by-step explanation:
To find the volume of a cylinder, use the formula: V = π * r^2 * H
In this case: V = π * (9^2) * (4)
V = π * 324
V = 1017.876 cubic ft. or ft^3
Hope this helps =)
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
Answer:
Volume is increased in a factor of 8. The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
Step-by-step explanation:
The formula for the volume of the rectangular prism is:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width
[tex]h[/tex] - Height
[tex]l[/tex] - Length
If dimensions are doubled, then volume is increased in a factor of 8:
[tex]V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)[/tex]
[tex]V_{f} = 8\cdot w \cdot h \cdot l[/tex]
[tex]V_{f} = 8 \cdot V_{o}[/tex]
The volume is increased from [tex]48\,ft^{3}[/tex] to [tex]384\,ft^{3}[/tex].
At Silver Gym, membership is $35 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $85 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms
Answer:
5 sessions each
Step-by-step explanation:
Let the personal training sessions be x.
Then at Silver Gym Sarah would spend:
35 + 30xAnd at Fit Factor she would spend:
85 + 20xSince total costs are same, the amounts will be equal:
35+30x = 85 + 20x30x - 20x = 85 - 3510 x = 50x= 50/10x= 5So Sarah would buy 5 training sessions for each of the gyms.
And she would spend $185 at each.
A circle with circumference 8 has an arc with a 288 central angle what is the length of the arc
Answer:3.3
Step-by-step explanation:
Circumference=8
Φ=288
π=3.14
Radius=r
Circumference=2 x π x r
8=2 x 3.14 x r
8=6.28 x r
Divide both sides by 6.28
8/6.28=(6.28 x r) /6.28
1.3=r
r=1.3
Length of arc =Φ/360 x 2 x π x r
Length of arc =288/360 x 3.14 x 1.3
Length of arc =0.8 x 3.14 x 1.3
Length of arc =3.3
Answer:32/5
Step-by-step explanation: did it in khan
If a = 150 inches, b = 50 inches, and C = 120º find c.
Round to the nearest tenth of an inch.
Answer:180.3
Step-by-step explanation:
a=150
b=50
C=120
c^2=a^2+b^2-2 x a x b x cosC
c^2=150^2+50^2-2x150x50xcos120
c^2=150x150+50x50-2x150x50xcos120
c^2=22500+2500-15000cos120
c^2=25000-15000x-0.5
c^2=25000+7500
c^2=32500
c=√(32500)
c=180.3
Answer:
180.3 inches
Step-by-step explanation:
Using cosine law:
c² = 150² + 50² - 1(150)(50)cos(120)
c² = 32500
c = 50sqrt(13)
c = 180.3 (nearest tenth)
Which expression is equivalent to 2(3x − 1.75) − 3(1.5x − 2.5)?
Answer:
1.5x+4
Step-by-step explanation:
Step-by-step explanation:
Step 1: Distribute
[tex]2(3x - 1.75) - 3(1.5x - 2.5)[/tex]
[tex](2 * 3x) + (2 * -1.75) + (-3 * 1.5x) + (-3 * -2.5)[/tex]
[tex](6x) + (-3.5) + (-4.5x) + (7.5)[/tex]
Step 2: Combine like terms
[tex](6x - 4.5x) + (7.5 - 3.5)[/tex]
[tex]1.5x + 4[/tex]
Answer: [tex]1.5x + 4[/tex]
Consider the equation below. f(x) = x^2/(x^2 + 2) (a) Find the interval on which f is increasing. (Enter your answer using interval notation.) Find the interval on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the inflection points. (x, y) = (smaller x-value) (x, y) = (larger x-value) Find the interval on which f is concave up. (Enter your answer using interval notation.) Find the interval on which f is concave down. (Enter your answer using interval notation.)
Answer:
a) increasing (0, ∞); decreasing (-∞, 0)
b) min: (0, 0); max: DNE
c) inflection points: (-√6/3, 1/4), (√6/3, 1/4);
up: (-√6/3, √6/3); down: (-∞, -√6/3) ∪ (√6/3, ∞)
Step-by-step explanation:
The intervals of increase or decrease can be found from the sign of the slope, that is, the sign of the first derivative. That derivative is ...
f'(x) = ((x^2 +2)(2x) -x^2)(2x)/(x^2 +2)^2
f'(x) = 4x/(x^2 +2)^2
(a) f'(x) is positive for x > 0, hence ...
the function is increasing on (0, ∞)
the function is decreasing on (-∞, 0)
__
(b) f'(x) is zero for x=0, a local minimum. f(0) = 0.
minimum: (0, 0)
maximum: DNE
__
(c) The second derivative is ...
f''(x) = ((x^2+2)^2·4 -(4x)(2)(x^2 +2)(2x))/(x^2 +2)^4
= (8 -12x^2)/(x^2 +2)^3
Inflection points are where the second derivative is zero, or ...
8 -12x^2 = 0
x^2 = 2/3
x = ±√(2/3) = ±(√6)/3
The values of f(x) there are x^2/(x^2 +2) = (2/3)/(2/3 +2) = (2/8) = 1/4
The points of inflection are (x, y) = (-√6/3, 1/4), (√6/3, 1/4).
The function is concave up between these inflection points
f(x) is concave up on the interval (-√6/3, √6/3)
f(x) is concave down on (-∞, -√6/3) ∪ (√6/3, ∞)
A pilot flies on a bearing of 160° for 30 miles. The pilot then executes a quick turn and flies another 15 miles at a bearing of 205°. What bearing should the pilot use (to the nearest second) and how far must she travel(to the nearest of a mile) to make it back to her starting position?
Answer: 34.65 miles at an angle of 325.39°
Step-by-step explanation:
Ok, the initial position is (0,0)
Then she flies 30 miles at an angle of 160°, if we count the angle counterclokwise from the x-axis, the new position will be:
p = (30*cos(120°), 30*sin(120°))
Then she travels another 15 miles at an angle of 205°, the new position is:
p = (30*cos(120°) + 15*cos(205°), 30*sin(120°) + 15*sin(205°))
p = (-28.59 , 19.64)
If she now travles X miles at an angle Y, we must have that the final position is the point (0,0)
this means that:
X*cos(Y) = -(-28.59) = 28.59
X*sin(Y) = -19.64
Now, we can find the quotient between those two equations and use that tan(x) = sin(x)/cos(x)
X*(sin(Y))/(X*cos(Y)) = -19.64/28.59
Tg(Y) = -0.69
Y = ATg(-0.69) = -34.61°
If we use only positive angles, this angle is equivalent to:
360° - 34.61° = 325.39°
now lets find the distance:
Xcos(325.39°) = 28.59
X = 28.59/cos(325.39°) = 34.65 miles.
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below.
s = StartRoot StartFraction (12 minus 14) squared + (14 minus 14) squared + (9 minus 14) squared + (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared + 0 squared + negative 5 squared + 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 + 0 + 25 + 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19.5 EndRoot.
What is the first error he made in computing the standard deviation?
A. Yuri failed to find the difference between each data point and the mean.
B. Yuri divided by n instead of n -1.
C. Yuri did not subtract 9 - 14 correctly.
D. Yuri failed to square -2 correctly.
Answer:
B. Yuri divided by n instead of n-1
Step-by-step explanation:
It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,
σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n
Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.
Answer:
B.
Step-by-step explanation:
(Here's Answers for the Quiz I did so far!)
1. Abby is collecting rainfall data.
Answer: B.
2. The Monthly Mean Salaries
Answer: A.
3. The Number of Cars at a Dealer Ship
Answer: A. (6.9)
4. The Mean Set of Credit Card Scores.
Answer: C. (720)
