Find the value of k for which x-7 is a
factor of f(x) = x3 - 6x2 + kx - 7. State
the remainder when f(x) divided by X-5.
Answers
Answer:
answer is in the picture above
Related Questions
PLEASEE, i’ve been struggling with this for a long time. What base and height should I use guys?! Pls dont you dare to scam me or you get a report
Ima mark brainliest ;-;
Answers
Answer:
3 height
7 Base
what is the slope of the line.
Answers
Answer:
1 ..................or 1/1
Answer:
-1 is the slope
..................
what is:
k/5 + 2.5 = .5?
Answers
Answer:
k = -10
Step-by-step explanation:
k/5 + 2.5 = 0.5
k/5 = -2
k = -10
-10 / 5 = -2
-2 plus 2.5 = .5
Someone helppp pls :(((((
Answers
Answer:
y = ½x + 8
Step-by-step explanation:
✔️First, find the slope (m) using any two given pairs of values, say (0, 8) and (2, 9):
Slope (m) = change in y/change in x
Slope (m) = (9 - 8)/(2 - 0)
Slope (m) = 1/2
m = ½
✔️Find the y-intercept (b):
The y-inteeceot of the function would be the value of y when x = 0.
Form the table, when x = 0, y = 8. Therefore:
y-intercept (b) = 8
✔️To write the equation of the function, substitute m = ½ and b = 8 into y = mx + b.
Thus:
y = ½x + 8
How would I solve this?
Answers
If you help me with my last question I will help you with this one
what is the smallest subset of the number -8,546,999 belong to
Answers
Answer:
its 4
Step-by-step explanation:
Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Answers
Answer:
The general rule is [tex]a_n = -2 - 5(n-1)[/tex]
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:
[tex]a_{n} = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:
[tex]a_n = a_m + (n-m)d[/tex]
a3 = -12 and a8 = -37
First we find the common difference. So
[tex]a_n = a_m + (n-m)d[/tex]
[tex]a_8 = a_3 + (8-3)d[/tex]
[tex]-37 = -12 + 5d[/tex]
[tex]5d = -25[/tex]
[tex]d = -\frac{25}{5}[/tex]
[tex]d = -5[/tex]
So
[tex]a_n = a_1 - 5(n-1)[/tex]
Finding the first term:
[tex]a_n = a_1 - 5(n-1)[/tex]
Since [tex]a_3 = -12[/tex]
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_3 = a_1 - 5(3-1)[/tex]
[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]
So the general rule is:
[tex]a_n = a_1 - 5(n-1)[/tex]
[tex]a_n = -2 - 5(n-1)[/tex]
The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003
Answers
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
PLEASE HELP
will mark brainliest
Answers
Answer:
Option B
[tex]A'(5,5)[/tex]
[tex]B'(5,1)[/tex]
[tex]C'(2,1)[/tex]
[tex]D'(1,5)[/tex]
[tex]----------[/tex]
hope it helps...
have a great day!!
In triangle MNO the measure of angle O =90 degrees the measure of angle M =66 degrees and NO = 60 feet Find the length of MN to the nearest tenth of a foot
Answers
Answer:
Length of MN = 65.68 feet (Approx.)
Step-by-step explanation:
Given:
Height of NO = 60 feet
Angle ∠M = 66°
Find:
The length of MN
Computation:
Given triangle is a right angled triangle
So,
NO is a perpendicular
MN is hypotenuse
Using trigonometry functions
Sin θ = Perpendicular / Hypotenuse
Sin 66 = NO / MN
0.9135 = 60 / Length of MN
Length of MN = 60 / 0.9135
Length of MN = 65.68 feet (Approx.)
Answer: approximately 65.6782 = 65.7
Step-by-step explanation:
Verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C.
Answers
Answer:
hello your question is incomplete below is the complete question
verify the conclusion of Green's Theorem by evaluating both sides of the equation for the field F= -2yi+2xj. Take the domains of integration in each case to be the disk. R: x^2+y^2 < a^2 and its bounding circle C: r(acost)i+(asint)j, 0<t<2pi. the flux is ?? the circulation is ??
answer : attached below
Step-by-step explanation:
Attached below is the required verification of the conclusion of Green's Theorem
In the attached solution I have proven that Green's theorem ( ∫∫c F.Dr ) .
i.e. ∫∫ F.Dr = ∫∫r ( dq/dt - dp/dy ) dx dy = 4πa^2
How many odd numbers are in 10 to 50?
Answers
Answer:
20
Step-by-step explanation:
11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answers
Answer:
.7880
Step-by-step explanation:
Answer:
pretty sure it's 0.7880 !!! good luck, this stuff is super tough :(
Step-by-step explanation:
1. If CA = 12 cm, what is the measure of ER?
1CD
CD
Answers
Answer:
[tex]ER = 12cm[/tex]
Step-by-step explanation:
Given
See attachment for the given shape
Required
Length of ER
The given shape is a parallelogram and the opposite sides are: CA and ER
Given that:
[tex]CA= 12cm[/tex]
We have:
[tex]CA = ER[/tex] --- opposite sides of a parallelogram
So:
[tex]ER = 12cm[/tex]
What is m ZPQR?
R
(x + 3)
(3x + 5)
S.
Р
Answers
Answer:
3 x 2 − 2 x -5
Step-by-step explanation:
Joe wants his overall test average to be 85%. What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?
Answers
Answer:
He would need a score of 0.8 = 80%.
Step-by-step explanation:
Average score:
The average score is the sum of all scores divided by the number of tests.
What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?
Combining with the next text, there will be 6, and the sum will be: 0.7 + 1.05 + 0.75 + 0.9 + 0.9 + x = 4.3 + x.
Joe wants his overall test average to be 85%.
So
[tex]\frac{4.3 + x}{6} = 0.85[/tex]
[tex]4.3 + x = 5.1[/tex]
[tex]x = 5.1 - 4.3 = 0.8[/tex]
He would need a score of 0.8 = 80%.
The smaller cube measures 10 cm on each edge. What is the surface area?
Answers
Answer:
10 cm cubed or 10^3cm
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
6 sides x 10 x 10 = 600
this is the surface area
find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)
Answers
Answer:
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
Step-by-step explanation:
we are given a trapezoid
we want to figure out the area
remember that,
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]
where a and b represent the parallel lines and h represents the height
we get from the pic that a and b are 5 and 15 respectively and h is 7
so substitute:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]
simplify addition:
[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]
simplify division:
[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]
simplify multiplication:
[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]
since we multiply two same units we of course have to use square unit
hence,
[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]
HELP ASP!!!! PLS?!!!!! #15
Answers
Answer:
you need the farmula lol lol lol lol lol lol lol
Step-by-step explanation:
WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.
3(n + 2) = 9(6 - n)
Answers
With the equation use the distributive property to multiply 3 into (n+2). And 9 into (6-n).
Then you should have 3n+6=54-9n
You add 9n to both sides to get 12n+6=54.
After you should subtract six from both sides to get 12n=48
The last step is to divide 12 from both sides to get n=4 :)
What is the mean of the following data set? 6, 7, 3, 8, 6, 6, 2, 9, 7 A 8 B 9 C 6 D 7
Answers
Answer:
The mean is 6.
Step-by-step explanation:
You are rolling a pair of dice what's is the probability of getting different numbers on both dice
Answers
Answer:
[tex]Pr = 0.833[/tex]
Step-by-step explanation:
Given
A roll of a pair of dice
Required
The probability of getting different numbers
First, list out the sample space;
We have:
[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex]
The total is:
[tex]Total = 36[/tex]
The outcomes of the different numbers are:
[tex]Different = \{(1, 2) (1, 3) (1, 4) (1, 5) (1, 6),(2, 1) (2, 3) (2, 4) (2, 5) (2, 6),[/tex]
[tex](3, 1) (3, 2)(3, 4) (3, 5) (3, 6),(4, 1) (4, 2) (4, 3) (4, 5) (4, 6)[/tex]
[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 6), (6, 1) (6, 2) (6, 3) (6, 4) (6, 5) \}[/tex]
The total is:
[tex]Different = 30[/tex]
So, the probability of having a different outcome is:
[tex]Pr = \frac{Different}{Total}[/tex]
[tex]Pr = \frac{30}{36}[/tex]
[tex]Pr = 0.833[/tex]
Can someone pls help me with this
Answers
Answer:
8.5 pi
Step-by-step explanation:
C= 2 pi r
21 pi= 2pi r
r= 10.5
Arc length= 2pi r(145/360)
21 pi( 145/360)= 8.5 pi
Can someone help finds the area of this figure
Answers
9514 1404 393
Answer:
49 cm^2
Step-by-step explanation:
The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.
Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2
Total area = 49 cm^2
what is the answer to 50.25 times x
Answers
Pls help me out I’m very confused
Answers
Answer:
7
Step-by-step explanation:
C= 2 pi r
14 pi= 2 pi r
7=r
What is the length of line segment FE?
Enter your answer, as a decimal rounded to the nearest tenth, in the box.
FE =
units
Answers
Answer:
(7,-1)because it is problem of vector lesson so that we have to use formula of vector
F (-3,4)
E (4,3)
distance formula: √(4-(-3))^2 + (3-4)^2 = √49+1 = √50 = 7.07 or 7.1
What is the area, in square centimeters of the shaded part of the rectangle shown below
Answers
The area of shaded region is 100 square centimeters.
What is an area?
An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.
For the given situation,
The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.
The area of shaded region = Area of rectangle - Area of triangle
The dimension for rectangle,
Length = 10 cm
Width = 14
The formula of area of rectangle = (length)(width)
The dimension for triangle,
Base = 10 cm
Height = 14 - 6
⇒ Height = 8 cm
The formula of area of triangle = 1/2 (base)(height)
On substituting the above values,
Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]
⇒ [tex]140-40[/tex]
⇒ [tex]100[/tex]
Hence we can conclude that the area of shaded region is 100 square centimeters.
Learn more about area here
https://brainly.com/question/14853802
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Ms. De Leon wants to produce different sets of test questions for her essay test. If she plans to do this by putting together 3 out of 5 questions she prepared, how many different sets of questions could she contruct?
A.10
B. 20
C. 60
D. 80
Answers
(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?
(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.
(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?
(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.
(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?
(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?
(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?
(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!
Answers
hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right
