Answer: b
Step-by-step explanation:
Given f(x)=3x^3-4x+k and x+2 is a factor of f(x), then what is the value of k?
Answer:
k is 16
Step-by-step explanation:
Factor is ( x+2 ):
[tex]{ \sf{x + 2 = 0}} \\ { \sf{x = - 2}}[/tex]
Root is -2.
[tex]{ \bf{f(x) = 3 {x}^{3} - 4x + k}} \\ { \sf{f( - 2) = 0}} \\ { \sf{3 {( - 2)}^{3} - 4( - 2) + k = 0 }} \\ { \sf{ - 24 + 8 + k = 0}} \\ { \sf{ - 16 + k = 0}} \\ { \sf{k = 16}}[/tex]
Determine the quotient of .    
hi pls help. pls explain a bit thank you:)
Answer:
[tex]a^3b^2c^6[/tex]
Step-by-step explanation:
[tex]n^x*n^y=n^{x+y}[/tex]
so
[tex]a^6*a^{-3}*a^0=a^{6-3+0}=a^3[/tex]
[tex]b^3*b^1*b^{-2}=b^{3+1-2}=b^2[/tex]
[tex]c^4*c^2=c^{4+2}=c^6[/tex]
put it all together
[tex]a^3b^2c^6[/tex]
An executive for a large company is considering a change to health insurance plans offered to the employees. To
assess employee satisfaction with the current plan, the executive sends an email to all company employees asking
their opinion of the current plan. A summary of the results received shows that 27% of company employees are
"highly satisfied" with the current health insurance plan. Which statement about the results is most likely to be true?
Answer:
not D
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
Find m angle AFE.
Please I need help badly
The measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have angles shown in the picture.
Angle AFB = 25 degrees
Angle BFC = 57 degrees
Angle CFD = 34 degrees
Angle DFE = 57 degrees
Angle AFE is the sum of the angle AFB, Angle BFC, Angle CFD, and Angle DFE.
Angle AFE = Angle AFB + Angle BFC + Angle CFD + Angle DFE
Angle AFE = 25 + 57 + 34 + 57
Angle AFE = 173 degrees
Thus, the measure of the angle AFE or m∠AFE is 173 degrees option (B) 173 is correct if the angle AFB = 25 degrees, Angle BFC = 57 degrees, Angle CFD = 34 degrees, and Angle DFE = 57 degrees.
Learn more about the angle here:
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Multiply: 4 (−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53
[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]
Convert mixed fraction into simple fraction form[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]
[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].
[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]
Find the area of the bolded outlined sector.
Outlined sector:
2 πr x 225/360 +2r
=2x3.14x10 x 225/360 +20
=59.25 cm
Hope this helped!
A pendulum is swinging next to a wall. The distance D(t)D(t)D, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) between the bob of the pendulum and the wall as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\sin(b\cdot t)+da⋅sin(b⋅t)+da, dot, sine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when the pendulum is exactly in the middle of its swing, the bob is 5\text{ cm}5 cm5, start text, space, c, m, end text away from the wall. The bob reaches the closest point to the wall, which is 3\text{ cm}3 cm3, start text, space, c, m, end text from the wall, 111 second later. Find D(t)D(t)D, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer:
D(t)=-2sin(pi/2 t)+5
Step-by-step explanation:
i did it on Khan academy
Answer:
-2sin(pi/2 t)+5
Step-by-step explanation:
ALso did on Khan Academy (its on the sinisoidal equations excercise)
The altitude of an equilateral triangle is 6v3 units long. The length of one side of the triangle is
units.
Answer:
Side = 2 * height / sqr root 3
Side = 2 * 6 * sqr root 3 / sqr root 3
Side = 12
Step-by-step explanation:
√576+(95/5)-∛125 SOLVE IT PLS
Step-by-step explanation:
really ? there is nothing to solve. only to calculate.
you have no calculator ? even the included apps on every computer system can do that.
that is a waste of both of our time.
24 + 19 - 5 = ?
I am sure you can figure that out.
Look at this rectangular prism:
Answer:
3 : 1
Step-by-step explanation:
volume = length * width * height
The volume of the solid as it is shown is:
volume = 10 m * 6 m * 10 m = 600 m^3
old volume = 600 m^3
Now we triple the length.
The length becomes 3 * 10 m = 30 m
The new volume is:
volume = length * width * height
volume = 30 m * 6 m * 10 m = 1800 m^3
new volume = 1800 m^3
ratio of new volume to old volume = 1800 m^3 : 600 m^3
Divide both sides of the ratio by 600 m^3.
Ratio = 3 : 1
Answer: 3 : 1
15. Find the volume of the sphere. Use 3.14 for pi and round to the nearest tenth if necessary.
9 km
3
O 3420.2 km
1974.1 km
Answer:
The Correct Answer is option C.) [tex]3052.1 km^{3}[/tex]
Drag the cards to create a number that matches these rules.
The number ends in the hundredths place.
6 is the nearest one when rounding.
9, 4, (.)decimal point, 5
Answer:
0.459
Step-by-step explanation:
O.459 will round to 0.46 which meets the question's criteria.
How do I solve this problem: 6c - 8 - 2c = -16
Answer:
c = -2
Step-by-step explanation:
6c-8-2c = -16
4c -8 =-16
4c = -16 +8
4c = -8
4c/4 = -8/4
c = -2
Answred by Gauthmath
The solution of the equation 6c - 8 - 2c = -16 is -2 calculated by combining like terms and isolating the variable then dividing the equation by coefficient of the c variable.
To solve the equation 6c - 8 - 2c = -16, isolate the variable c on one side of the equation.
Combine like terms on the left side of the equation:
6c - 2c = 4c
The equation now becomes:
4c - 8 = -16
Take constant term on the right side of the equation by adding 8 to both sides:
4c - 8 + 8 = -16 + 8
The equation simplifies to:
4c = -8
To find the value of c, divide both sides of the equation by 4:
4c / 4 = -8 / 4
c = -2
Hence, the value of c is -2 in the equation 6c - 8 - 2c = -16.
To learn more on Equation:
https://brainly.com/question/10413253
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What is the interquartile range (IQR) of this data set?
2, 6, 7, 11, 15, 16, 17
A.9
B.7
C.10
D.15
Answer:
11 is the median of the entire data set
6 is the median of the lower half and 16 is the median of the upper half data scores...
Subtract 16 from 6 gives 10 so the answer is C) 10
=============================================================
Explanation:
The first step is to sort the data from smallest to largest. Luckily, that's already been done for us.
Next, we find the median. This is the middle most number of the set. In this case, the median is 11 since we have 3 values below it (2,6,7) and 3 values above it (15,16,17).
Let
L = {2,6,7}
U = {15,16,17}
where L and U are the lower and upper sets respectively.
In other words, anything in set L is lower than the median while anything in set U is above the median. The median itself (11) is not part of either set.
Notice how 6 is the midpoint of set L, while 16 is the midpoint of set U.
This means Q1 = 6 and Q3 = 16
Therefore,
IQR = Q3 - Q1
IQR = 16 - 6
IQR = 10
which is why choice C is the final answer.
PLEASE HELP, i’ll give brainly to correct answer
Good morning,
Have a great day ahead
1. t — 19 = 2
2. 1 + s = 3
3. 24 = 4c
4. v/5 = 9
(show work)
Answer:
1. t = 21
2. s = 2
3. c = 6
4. v = 45
Step-by-step explanation:
1. t - 19 = 2
*Add 19 to both sides.
t = 21
2. 1 + s = 3
*Subtract 1 from both sides.
s = 2
3. 24 = 4c
*Divide each side by 4.
6 = c
4. v/5 = 9
*Multiply each side by 5.
v = 45
Plz help similarity theorems
Answer:
b is the answer bro and try first then ask questions
Solve the mean for the data set. (4,11,25,1,17,34,11,30)
A. 12
B. 14.5
C. 16.6
D. 18.9
Answer:
The mean is C. 16.6
Step-by-step explanation:
the mean is the average, to find the average add all the numbers together and divide by the amount of numbers
4+11+25+1+17+34+11+30=133
133/8 = 16.6
Factorize:
a)(a+b) (a-b)-a+b
b)a²-(b-3)a-3b
c) ax²-bx²-ax+bx+a-b
help Me these questions I will mark u as brainliest
Answer:
Step-by-step explanation:
help me plzzzzzz tyyyyyyyyyy
Answer:
your answer is B.
Step-by-step explanation:
mode is 76, mean is 79, the median is 76.
SEE QUESTION IN IMAGE
Answer:
42Required probability:
P(≤4) = (18 + 14 + 20 + 16)/(18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6843Required probability:
P(>3) = (20 + 16 + 15 + 17) / (18 + 14 + 20 + 16 + 15 + 17) = 68/100 = 0.6844At least 2 students pass:
P(2 or 3) = (3/5)² + (3/5)³ = 9/25 + 27/125 = 72/125 = 0.57645Number of x's:
x/108 = 4/27x = 108*4/27x = 16Solve 3x-4>11 if the domain of x is {1,2,3,4,5,6,7,8}
Answer:
(6,7,8)
Step-by-step explanation:
solving the inequality will give x>5
calculate the area of each shape
Answer:
1267f335677632157853
Answer:
a) (x + 2)(3x + 1) = x^2 + 7x + 2
b) (2x - 3)(2x + 4) = 4x^2 + 2x - 12
c) (x + 2)(avg. length of base, x + 6) = x^2 + 8x + 12
d) Is the radius 4x + 12? If so: (4x + 12)(4x + 12) = (16x^2 + 96x + 144) x pi
Step-by-step explanation:
Brainliest, please!
Geometry, please answer question ASAP
Answer:
m<D = 170°
Step-by-step explanation:
In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:
m<A + m<B + m<C + m<D + m<E = 540°
We are already given the measures of all the angles except D, so we can substitute them in:
87° + 125° + 63° + m<D + 95° = 540°
Now, we can simplify and solve for <D:
m<D + 370° = 540°
m<D = 170°
If the bearing of Saaman from Ankaase is 171. What is the bearing of Ankaase from Saaman.
Step-by-step explanation:
A. Theta + 180 (when angle is less than 180)
Theta - 180(when angle is greater than 180)
Thus, 171 + 180 = 351°
B. I. Angle CBF + Angle BFG = 180 (Co interior angles)
CBF + 118 = 180
CBF + 118 –118 = 180 –118
CBF = 62°
Ii. 83 + X + CBF = 180 (Angles on a straight line)
83+X+62 =180
145+x=180
145–145+x=180–145
X = 35°
plz give me this ans by explaining
Answer:
I don't know what to do so I just answered the volume of this tell me if I am wrong
Step-by-step explanation:
radius : 3.5 cm
volume : ?
now,
volume (v) : π × r (2)
: 22/7 × 3.5(2)
:22×3.5×3.5 by 7
therefore,
the volume is 38.5
The local time in Singapore is 7 hours ahead of the local time in London. A flight to London leaves Singapore at 0300 local time .
Flight takes 12hours and 45 minutes .What is the local time in London when it arrives?
Answer:
I think its 8.45am if they are asking when it arrived in londonHELP PLS IM FAILING PYTHAGOREAN THEOREM
Answer: 4.6 km
Step-by-step explanation:
a^1 + b^2 = c^2
2^2 + b^2 = 5^2
4 + b^2 = 25
b = sqrt 25 - 4
b = sqrt 21 = 4.6 km
When a shape is dilated, the _________ of the lengths in the image to the corresponding lengths in the pre-image are equal to the scale factor.
A. ratios
B. lengths
C. scale factors
D. proportions