Answer:
k = 1
Step-by-step explanation:
Given that,
[tex]f(x) = x^3 +kx + 2[/tex]
If (x+1) is a factor of (x), we need to find the value of k.
Using remainder theorem to find it.
Put (x+1) = 0
x = -1
Put x = -1 in equation below.
[tex]x^3 + kx + 2=0\\\\(-1)^3+k(-1)+2=0\\\\-1-k+2=0\\\\1-k=0\\\\k=1[/tex]
So, the value of k is 1.
Consider the following heights 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85. Use R script to finish the following questions
(1) Assign all these heights as vector "height".
(2) Compute the mean and sd of "height".
(3) What is the length of "height"?
(4) How many heights are less than 1.65?
(5) Show if each height is larger than 1.60 and smaller than 1.75.
Answer:
1.718333
0.114957
12
1 3 5 7
Step-by-step explanation:
Given the following height values :
Height values : 1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85
1.) Assign all height values to a vector height :
R code:
height - - -> c(1.55, 1.92, 1.60, 1.75, 1.58, 1.67, 1.63, 1.82, 1.76, 1.77, 1.72, 1.85)
2.) To compute the mean and standard deviation of "height"
R code for mean height:
mean(height)
R code for height standard deviation :
sd(height)
3.) The length of "height" ; This gives the number of data values in the vector variable "height"
R_code for length:
length(height)
4.) Number of heights less than 1.65
R_code :
which(height < 1.65)
Gives the index values where height values is less than 1.65
5.) Show if each height is larger than 1.6 and less Than 1.75
R_code :
1.6 < height < 1.75
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?
Please hurry up(btw you will get the brainliest)♂️
Answer:
To run one lap Lin takes 1.6 minutes.
Step-by-step explanation:
To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.
Please help I’ll mark you as brainliest if correct!
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
Use the drop-down menus to complete the sentence:
The terminal ray of a 300° angle lies in the ______ quadrant.
This angle measures (________) Pi radians.
Answer:
fourth
5/3
Step-by-step explanation:
edge2021
Answer:
Fourth
5/3
Step-by-step explanation:
Find the perimeter of the following square.
A. 1 inch
B. 2 inches
C. 3 inches
D. 4 inches
Answer:
D
Step-by-step explanation:
the perimeter of a shape is the sum of it's sides
in a square all sides have the same length
here all sides are 1 inch
so 1+1+1+1 = 4 inches which is D
a small refrigerator is a cube with a side length of 12 inches use the formula S= 6s2 to find the surface area of the cube
can someone please help me with this it's the last problem on my exam
Answer:
Surface area of the refrigerator is 864 in².
Step-by-step explanation:
Formula to calculate the surface area of a cube is,
Surface area = 6s²
Here, s = length of a side of the cube
If side length 's' = 12 inches
By substituting this value in the formula,
Surface area = 6(12)²
= 6 × 144
= 864 inch²
Therefore, surface area of the refrigerator is 864 in².
Answer this question
(Factors of 36)
1,36
_,_
_,_
4,9
_,_
*please answer asap!*
Answer:
1,36 2,18 3,12 4,9 and 6,6
Step-by-step explanation:
If you multiply them, they equal 36
Solve using the order of operations.
[tex]5 \div (4 - 3) {3 -}^{2} - 2[/tex]
Answer:
BODMAS (Bracket Of Division Multiplication and Addition)
Step-by-step explanation:
[tex]5÷(4−3)3−2−2[/tex]
[tex]5 \div (4 - 3)3 - 2 - 2 \\ bracket \: fjrst \\ 5 \div (1)3 - 2 - 2 \\ \:second \: bracket \\ 5 \div 3 - 2 - 2 \\ division \: next \\ 5 \div 3[/tex]
bro I just stopped half way, cause my calculator says Syntax error. Maybe re check the question
My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function of the number of gallons of gas in the tank?
Answer: Yes,
Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.
You spin the spinner and flip a coin. Find the probability of the compound event. The probility of spinning one, and landing on heads is:
Answer:
You have to specify the question more. There's not enough information. Like how many numbers does the spinner have? I'll help if you could specify it more
Step-by-step explanation:
Answer:
Multiply 1/2 by 1/5 and you get 1/10
Step-by-step explanation:
Change each of the following decimals to a fraction. Reduce your answer to its lowest terms.
0.07
0.3
0.168
0.0012
0.14
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
x+y = 6
x - y = 0
I’ve been stuck for almost a hour pls help . if not it’s cool
Henry ran 1 5/8 miles in the morning and 9/10 miles in the afternoon how many miles did he run in all
Answer:
101/40 miles or 2 21/40
Step-by-step explanation:
You add the two values together.
Answer:
2 21/40
Step-by-step explanation:
simple math! i'll
mark you if you get it right
Answer:
175
Step-by-step explanation:
Brainly plsss
help please !!! x/4 = 9/x
Step-by-step explanation:
x/4=9/x
x.x=4.9
x^2=36
√x=√6
x=6
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Answer:
Side 1=21 ft, Side 2=7, Side 3=24
Step-by-step explanation:
52 = (3x) + (x) + (x+17) -> 52 = 5x + 17 -> 5x = 35 -> x = 7
Plus 7 into the equation whenever you see an x.
- 5x2 + 2x + 9= 0
factorize
Answer:
Please check the explanation.
Step-by-step explanation:
Given the quadratic equation
5x²−2x−9 = 0
To factor the quadratic function 5x²−2x−9, we should solve the corresponding quadratic equation 5x²−2x−9 = 0.
Indeed, if x₁ and x₂ are the roots of the quadratic equation ax²+bx+c=0, then
ax²+bx+c = a(x-x₁)(x-x₂)
Now,
solving the quadratic function 5x²−2x−9 = 0
[tex]-5x^2+2x+9=0[/tex]
subtract 9 from both sides
[tex]-5x^2+2x+9-9=0-9[/tex]
Simplify
[tex]-5x^2+2x=-9[/tex]
Divide both sides by -5
[tex]\frac{-5x^2+2x}{-5}=\frac{-9}{-5}[/tex]
[tex]x^2-\frac{2x}{5}=\frac{9}{5}[/tex]
Add (-1/5)² to both sides
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{9}{5}+\left(-\frac{1}{5}\right)^2[/tex]
[tex]x^2-\frac{2x}{5}+\left(-\frac{1}{5}\right)^2=\frac{46}{25}[/tex]
[tex]\left(x-\frac{1}{5}\right)^2=\frac{46}{25} \\[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
so solving
[tex]x-\frac{1}{5}=\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=\frac{\sqrt{46}}{\sqrt{25}}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{\sqrt{46}+1}{5}[/tex]
similarly solving
[tex]x-\frac{1}{5}=-\sqrt{\frac{46}{25}}[/tex]
[tex]x-\frac{1}{5}=-\frac{\sqrt{46}}{5}[/tex]
Add 1/5 to both sides
[tex]x-\frac{1}{5}+\frac{1}{5}=-\frac{\sqrt{46}}{5}+\frac{1}{5}[/tex]
[tex]x=\frac{-\sqrt{46}+1}{5}[/tex]
Thus, the roots are:
[tex]x_{1} =\frac{\sqrt{46}+1}{5},\:x_{2}=\frac{-\sqrt{46}+1}{5}[/tex]
Conclusion:
Since the roots are irrational, we do not factor further.
Therefore, we leave 5x²−2x−9 as it is.
Dont really know this. Anyone wanna help.
Answer:
25 degrees
Step-by-step explanation:
angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,
90 degrees - 65 degrees = 25 degrees
At the kennel, there are 6 dogs for every 5 cats. The ratio of cats to dogs is ______ to ______. Enter your answer in this format: "1,2" brainliest if answer
Answer:
1.0 ez clap
Step-by-step explanation:
Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties. What would be another major cost of her investment?
A.
bank fees
B.
investment broker fees
C.
renovation and maintenance costs
D.
utilities
Answer:
The correct answer is C. Renovation and Maintencance costs
Step-by-step explanation:
#Plato :)
The major cost of her investment would be C. Renovation and Maintencance costs.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The amount of additional tax paid for each new dollar of income received is known as; the marginal tax rate.
The Total taxes paid is divided by total income earned is the average tax rate. With a marginal tax rate of 10 percent, then the tax would be deducted from the following dollar of income at a rate of 10%.
Given that Kathy owned several real estate properties. She had to pay federal taxes on her income and property taxes on the properties.
The major cost of her investment would be C. Renovation and Maintencance costs.
Learn more about tax here:
brainly.com/question/10798743
#SPJ5
please help look at picture
Answer:
15 cm
Step-by-step explanation:
Answer:
its C 30cm
Step-by-step explanation:
I multiplied 6x5=30
Simplify QP
R ( 0 , a )
S ( b , c )
Q ( 0 , -a )
P ( b , -c )
Answer:
b² + ( -c + a ) ²
Step-by-step explanation:
6. (CED.2, REI. 6) A manager is comparing
the cost of buying baseball caps from two
different companies.
Company X charges a $50 fee plus S7 per
baseball cap.
Company Y charges a $30 fee plus $9 per
baseball cap.
For what number of baseball caps will the
cost be the same at both companies?
A. 20
B. 10
C. 40
D. 100
student missed 88 questions on a test and scored a 2%, how many questins are on the test if all were of equal value
Answer:
There were 90 questions in the test.
Step-by-step explanation:
He missed 88 questions on the test and scored a 2%. This means that the 88 questions missed correspond to 100% - 2% = 98% of the total number of questions, which is x. So
[tex]0.98x = 88[/tex]
[tex]x = \frac{88}{0.98}[/tex]
[tex]x = 89.8[/tex]
Rounding up
There were 90 questions in the test.
Graph the image of the figure after a dilation with a scale factor of 2 centered at (-7, - 2).
Use the Polygon tool to graph the quadrilateral by connecting all its vertices.
Answer:
Sorry this is late!
Step-by-step explanation:
Please help me and I'll give you a Brainly star
Answer:
Step-by-step explanation:
The answer is (C)
<AEB is congruent to <BEC
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
It takes Ty 4 hours 30 minutes to read his favorite book, reading at a constant rate of 100 pages
every 50 minutes. How many pages are in Ty's favorite book?
Answer:
540 pages
Step-by-step explanation:
100 pages = 50 mins
??? pages = 270 mins (converted 4hrs 30 mins to minutes)
Now you could cross multiply to find what the number of pages are:
100 pages x 270 mins = 50 mins x ??? pages
27000 = 50 mins x ??? pages
27000/50 = ??? pages
540 = ??? pages
So there are 540 pages in his favourite book.
Pls help! Brainliest for first correct answer!
Answer and Step-by-step explanation:
Triangle CAM is congruent to triangle IAM by the SAS postulate (Side angle Side.
This is because the midpoint is congruent with itself, and since it is midpoint, it forms right angle, making the angle part, and since its also the midpoint, it splits Ci in half, making CM congruent to CI
Add One-seventh + 1One-fifth.
pls hurry
Answer:
0.14084507042
Step-by-step explanation:
lmk if u want the 1/4 or 5/5 like taht pig
Answer:
12/35
Step-by-step explanation:
1/7 + 1/5
Find a common denominator:
35
Multiply the top and bottom to get that denominator:
1/7 * 5/5 = 5/35
1/5 * 7/7 = 7/35
Add the numerators:
7+5=12
12/35