Answer:
0, 7, ± iStep-by-step explanation:
Solving for x
- 2x^5 + 14x^4 - 2x^3 + 14x^2=0x^5 - 7x^4 + x^3 - 7x^2 = 0x^2 ( x^3 - 7x^2 + x - 7) = 0x^2( x^2(x - 7) + (x - 7)) = 0x^2(x^2 + 1)(x - 7) = 0x^2 = 0 ⇒ x = 0x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± ix - 7 = 0 ⇒ x = 7The solutions to the original equation -2x³ + 14x²- 2x³ + 14x² = 0 are x = 0, -0.391, 0.099, 7.293
To solve the equation algebraically, factor out an "x^2" term from each term:
x²(-2x³ + 14x²- 2x + 14) = 0
Now, we have two factors:
x² = 0
-2x³ + 14x² - 2x + 14 = 0
First, let's solve the first factor, which is a simple quadratic equation:
x² = 0
x = 0
Now, let's solve the second factor by factoring out a common factor of 2:
2(-x³ + 7x² - x + 7) = 0
Now,use the rational root theorem or synthetic division to find the roots of the cubic equation -x³ + 7x² - x + 7 = 0. However, in this case, the equation does not have any rational roots. Therefore, we need to use numerical methods or graphing techniques to find the approximate solutions.
Using numerical methods or graphing, we find that the approximate solutions for the equation -x³ + 7x² - x + 7 = 0 are:
x ≈ -0.391
x ≈ 0.099
x ≈ 7.293
To know more about equation here
https://brainly.com/question/10724260
#SPJ6
please help me i am timed
Answer:
B. Z, K, R
Step-by-step explanation:
Z, K, R are in a line so i think it's them im actually not sure but im pretty sure it is
A ship left shore and sailed 240 kilometers east, turned due north, then sailed another 70 kilometers. How many kilometers is the ship from shore by the most direct path?
Your Answer will be:
The ship from the shore is 250 Km away by most direct path.
What is Pythagoras theorem?The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.
Given:
Base= 240
Perpendicular= 70
so, distance between ship from shore by the most direct path
= √70² + 240²
=√ 4900+ 57600
= √62500
= 250
Hence, The ship from the shore is 250 Km away by most direct path.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ2
Nautical flags are used to communicate on ships. Kimani uses the scale drawing at the right to sew a nautical z flag. The scale from her flag to the drawing is 20:1. Each color is one quarter of the flag. How many square inches of each color of fabric does Kimani need?
Answer:
30
Step-by-step explanation:
1.5 x 20 is 30
Mr. Wagner is on a diet. He currently weighs 250 pounds. He loses 3 pounds per month. Write an equation that represents his weight after m months. After how many months will Mr. Wagner reach his goal of 220 pounds.
Answer:
y=mx+b
Step-by-step explanation:
In this case, x is represented by m. B is how much he weighs at the start which is 250. How many pounds does he lose per month ? 3. Thus, we conclude:
220=3x+250
Answer:
10 months
Step-by-step explanation:
220+3m = 250
Subtract 220 from both sides, now it is 3m=30. So now divide 3 on both sides. So now we have our answer m=10.
(Geometry: area of a regular polygon)
A regular polygon is an n-sided polygon in which all sides are of the same length and all angles have the same degree (i.e., the polygon is both equilateral and equiangular). The formula for computing the area of a regular polygon is
area = (n * s^2) / (4 * tan(PI / n)
Here, s is the length of a side. Write a program that prompts the user to enter the number of sides and their length of a regular polygon and displays its area.
Sample Run
Enter the number of sides: 5
Enter the side: 6.5
The area of the polygon is 72.69017017488385
ANSWER SHOULD BE IN PYTHON CODING
Answer:
Follows are the python code to this question:
import math as m #import package
n=int(input('Enter the number of sides:'))#defining n variable for input number of side
s= float(input('Enter the side: '))#defining s variable for input side value
area = (s*s *n)/(4 * (m.tan(m.pi/n)))#defining formula for calcaulting area
print (area)#print area
Output:
please find the attached file.
Step-by-step explanation:
In the above code, firstly, we import the math package as m, and after that, two-variable "n and s" is defined, which uses for input integer and float value from the user end.
In the next step, we use the area formula that is already in the question.In this formula, we modify some value and put the user input into the area formula, and print its value.What is the slope of the line that passes through the points (3,-2) and (9,-2)?
Answer:
0
Step-by-step explanation:
slope= (y2-y1)/(x2-x1)
= [-2-(-2)]/[9-3]
=[-2+2]/6
=0/6
=0
Hope it helps:)
10. Which is a subset of whole numbers?
A rational
B. irrational
Creal
D. natural
Answer:
The answer is D. Natural
Step-by-step explanation:
A subset, mathematically, means a category within another set. This can be shown from the picture below.
As you can see, the subset of whole numbers is, in fact, natural numbers.
-6-(-6)-
What is the value
Answer:
0
Step-by-step explanation:
−6−(−6)
=−6−(−6)
=−6+6
=0
Answer:
-12 is the answer
Step-by-step explanation:
A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,200 from each sold-out event. How many seats does each section hold?
Answer:
About 90 seats per section.
hope this helps!
write the prime factorization of each number using exponents 88
Answer:2 x 2 x 2 x 11 = 88. It can also be written in exponential form as 23 x 111.
Step-by-step explanation:
a random sample of 21 students from the U and at A&T were surveyed about their music listening habits. Their responses (in hours, each square represents 0.5 hour) were recorded and displayed using the following histograms. The left represents U. The right represents SHSAT. Which data set(U or SHSAT students) has a larger standard deviation? Explain.
Answer: U
Step-by-step explanation:
Looking at the graphs, U is skewed right and SHSAT is more of a normal distribution. Generally, this means the standard deviation would be greater for the data set that is skewed.
Let's find the standard deviation for each data set to confirm our theory.
Step 1) Find the mean number of hours
Step 2) Subtract each data value from the mean
Step 3) Find the mean of Step 2
U
hours x frequency: 1(3) + 2(5) + 3(4) + 4(3) + 5(3) + 6(2) + 9(1) = 72
Step 1: mean = (hours x frequency)/frequency = 72/21 = 3.4
Step 2: 2.4(3) + 1.4(5) + 0.4(4) + 0.6(3) + 1.6(3) + 2.6(2) + 5.6(1) = 33.2
Step 3: standard deviation = (sum from step 2)/ frequency = 33.2/21 = 1.58
SHSAT
hours x frequency: 1(1) + 2(3) + 3(4) + 4(5) + 5(3) + 6(3) + 7(2) = 86
Step 1: mean = (hours x frequency)/frequency = 86/21 = 4.1
Step 2: 3.1(1) + 2.1(3) + 1.1(4) + 0.1(5) +0.95(3) + 1.9(3) + 2.9(2) = 28.5
Step 3: standard deviation = (sum from step 2)/ frequency = 28.5/21 = 1.36
The calculations confirm that U has the greater standard deviation
Help please?
Which graph shows y=3⌊x⌋−4?
Top Left A.
Top Right B.
Down Left C.
Down Right D.
Answer:
a
start at the (0,-4) and go up 3 and over one. answer "A" fits this criteria
please help me! :(((
Answer:
your answer is c
Step-by-step explanation:
what grade is this
show your work : 17-8n=-2(4n-7)-3
Answer:
i think so
Step-by-step explanation:
17‒8n=‒2(4n‒7)‒3
17‒8n=‒8n+14‒3(add ‒17 on both sides)
‒8n=‒8n+14‒3‒17
‒8n=‒8n‒6
‒8n+8n=‒6
0=‒6
so the equation doesn't have solution
00:00
A baseball organization has 209 players. It wants to buy sweatshirts or jackets for players' warmups.
Price
Warm-up Type
Sweatshirt
$38
Jacket
$50
What is the difference in the total price of the sweatshirts and the jackets for all 209 players?
Enter your answer in the box
$
Answer: $2,958
Step-by-step explanation:
Total price of Sweatshirts
= 209 players * 38
= $7,942
Total price of Jacket
= 209 players * 50
= $10,450
Difference;
= 10,450 - 7,492
= $2,958
Answer:
2508
Step-by-step explanation:
Which fraction is the divisor, 2/3 / 1/6?
Answer:
It depends on how the question is structured.
Answer:
1/6
Step-by-step explanation:
Two thirds a number x plus 6 is 9
Answer:
please mark brainliest!
Step-by-step explanation:
[tex]\frac{2}{3}x + 6 = 9[/tex]
2/3 of x is (2/3x)
6 added to that makes it (2/3 +6).
Saying this is 9 means it is equal to 9.
2/3x +6 = 9
Answer:
2/3x+6=9
Step-by-step explanation:
If you answer this I’ll give u brainleiest what is 2+2?????
Answer:
4
Step-by-step explanation:
2+2 is
What kind of angle is this?
Answer:
this is a straight line aka 180
Step-by-step explanation:
it is over 180 and it becomes flat
Answer
straight angle
Step-by-step explanation:
plz help plz plz plz
6 (x+5)
I hope this helps :))
7
2) Classify the following number as rational or irrational. *
7.13
Answer:
the first one is 713/100
the second one is a reapeating decimal
Step-by-step explanation:
Kip walks 5/9 mile in 5/8 hour. What is kips rate of speed? How far can kip walk in one hour?
Step-by-step explanation:
5/8 hr = 5/9 mile
1 hr = 5/9 ÷ 5/8
= 8/9 mile
Speed = distance / time
= 5/9 mile / 5/8 hr
= 8/9 miles per hr?
pls help!!! I will make you brainiest!!!!! What is the rate of change?
Answer:
?
Step-by-step explanation:
they are all multiplied by 6. I.e: 102/17 is 6
NEED THESE ANSWERS FAST
Answer:
1) m=2/9; y-intercept= 17/3
2) m=7 ; y-intercept= 22
3) m= -2/11 ; y-intercept= 100/11
4) m= 13/19 ; y-intercept= -53/13
Step by Step Explanation:
Use the slope formula to find the slope m.
235 x 26 = estimate the answer
Answer:
6110
Step-by-step explanation:
Which is the correct form for the quotient and remainder, written as partial fractions, of 3x^3-4x^2+5x-19/x^2+2x+3
it's C
Answer: it’s correct tyy
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Simple interest, I. in dollars is calculated using the formula 1 = prt. Here, p represents the principal, or amount, in dollars that is invested or borrowed; r represents the annual interest rate, expressed as a percent, and t represents time, in years. Find the value of the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
p = $200, r = 7%, t = 3 years
Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was discovered, the famous detective Hercule Poirot noted that Ratchett had a body temperature of 28 degrees. The body had cooled to a temperature of 27 degrees one hour later. If the normal temperature of a human being is 37 degrees and the air temperature in the train is 22 degrees.
Required:
Estimate the time of Ratchett's death using Newton's Law of Cooling.
Answer: Mr. Ratchett died approximately at 2AM.
Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.
Mathematically, it is represented as:
[tex]\frac{dQ}{dt}=\alpha.A.(T_{s}-T)[/tex]
This differential equation solved, gives the solution:
[tex]T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}[/tex]
where
[tex]T_{s}[/tex] is temperature of the environment
[tex]T_{0}[/tex] is the initial temperature of the body
k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body
t is time required to change the temperature
For the murder on the Orient Express, first determine parameter k.
In 1 hour, Mr. Ratchett's body decrease 1°:
[tex]27=22+(28-22)e^{-1k}[/tex]
[tex]5=6e^{-k}[/tex]
[tex]e^{-k}=\frac{5}{6}[/tex]
[tex]ln(e^{-k})=ln(0.834)[/tex]
k = 0.1823
Using the parameter, find estimate time:
[tex]28=22+(37-22)e^{-0.1823t}[/tex]
[tex]6=15e^{-0.1823t}[/tex]
[tex]ln(e^{-0.1823t})=ln(0.4)[/tex]
0.1823t = 0.9163
[tex]t=\frac{0.9163}{0.1823}[/tex]
t ≈ 5 hours
The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.
I’ll mark Brainly! Which problem is being modeled on the number line?
A) (-6) + (-4) = -10
B) (-4) + (-6) = -10
C) -(4 + 6) = -10
D) -(6 + 4) = -10
Answer:
The answer is B
Ayudenme a resovlerlo