Answer:
P(x) = -0.69x³ + 2.76x² - 11.04x + 44.16Step-by-step explanation:
Let P(x) is the function with zero's 2 and 4i.
It has to have one more zero since it is of degree 3. This is a conjugate of 4i and is -4i.
The function has the shape of:
P(x) = a(x - 2)(x - 4i)(x + 4i)And we have P(0) = 22.08
Let's substitute and find the value of a:
22.08 = a(0 - 2)(0 - 4i)(0 + 4i)22.08 = a(-2)(-4i)(4i)22.08 = a(-2)(-16i²)22.08 = a(-32)a = - 22.08/32a = - 0.69The function is now:
P(x) = -0.69(x - 2)(x - 4i)(x + 4i)
= -0.69(x - 4)(x² + 16)
= -0.69(x³ - 4x² + 16x - 64)
= -0.69x³ + 2.76x² - 11.04x + 44.16
Penny is saving money to buy a bicycle that costs $129.89 . Each week she saves $15.75 . How many weeks will it take for Penny to save the money she needs?
Answer:
It will take roughly 8 weeks to save the money she needs
Step-by-step explanation:
129.89 ÷ 15.75 = 8.246984126984
Answer: 9 weeks
Explanation:
It would take her 9 weeks for her to save at least $129.89 with a leftover of $11.86.
What is the possible range of y-values that, along with x=7 form a solution to the following inequality?
4x –11y < -5
Answer:
4x –11y < -5, x=7
Step-by-step explanation:
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What are the values of v and w ?
Answer:
V = 72 & W = 72
Step-by-step explanation:
All angles of a triangle will be equivalent to 180 degrees.
We start by subtracting first.
180 - 36 = 144
Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.
The last step is to divide.
144 / 2 = 72
V = 72 & W = 72
JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?
Answer:
-118
Step-by-step explanation:
Since he is withdrawing, the value of 20 will be negative.
And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.
So,
-20 x 9 = -118
on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
the achievement first family handbook has 235 Pages Ms. Lieberman and print 450 copies of the document for the Middle School Scholars on Monday and 193 copies on Tuesday how many pages were printed in all
Answer:
151,105 pages
Step-by-step explanation:
(450 + 193) copies * 235 pages / copy = 643 copies * 235 pages = 151,105 pages
Bella is planning a proof for the Isosceles Triangle Theorem using the following information and diagram. Given: APQR is an isosceles triangle with base PR Prove: ZP ZR First, she draws the angle bisector of ZQ and labels it QB. She plans to show that ZP and ZR are corresponding parts of congruent triangles. Which congruence criterion can be used in her proof to show that APQB ARQB? A. ASA B. SAS C. SSS
Similar triangles may or may not be congruent.
The congruent criterion to use in her proof is (b) SAS theorem
From the question, we understand that she draws an angle bisector from [tex]\mathbf{\angle Q}[/tex] to side PR
This means that, either sides of angle Q are congruent. (this is represented by A i.e. angle)
When [tex]\mathbf{\angle Q}[/tex] is bisected, sides PB and RB become congruent
i.e. [tex]\mathbf{PB \cong RB}[/tex] ... (this is represented by S i.e. side)
Lastly, both triangles share a common side at QB .. (this is also represented by S i.e. side)
So, we have: SAS
Hence, the congruent criterion to use in her proof is (b) SAS theorem
Read more about similar and congruent triangles at:
https://brainly.com/question/19589236
You are given a card number that says 3 1 4 1 8 6 2 2 6 5 4 8 7 1 7 x. If this is the credit card number what must x be?
Answer value
Answer:
3 or 5 cause there is 2 eights 2 fours 3 ones 2 six's 2 two's 2 sevens
Step-by-step explanation:
the answer must be because i don't know 6
discrete or continuous function
Answer:
continuous becasue the arrows point out meaning the go on forever
Step-by-step explanation:
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is
Hello AljakeVillena!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given,
mass of crate = 50 kgForce you pull it with = 450 NFrictional force = 250 NAcceleration = ?__________________
Let's first find the total force/net force acting on the crate. The total force will be :-
450 N - 250 N = 200 N.We subtracted the forces because both the forces act on opposite directions.
__________________
Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..
Acceleration = Force/massa = F/ma = 200/50a = 4 m/s²__________________
So, the acceleration of the crate is 4 m/s².
__________________
Hope it'll help you!
ℓu¢αzz ッ
Force is mass times acceleration for linear motion. The acceleration of the crate in considered situation is 4 N/kg
How to calculate the acceleration from mass and force given?If net force is applied on an object of mass "m" in linear direction, with magnitude F, then, acceleration of that object is:
[tex]a = \dfrac{\rm F}{\rm m} \: \rm[/tex]
(assuming one dimensional motion, force is also in that dimension).
Here, it is given that crate's mass m = 50kg
Force pulling the crate = 450 N (positive since it is in direction of motion (horizontal)
Force resisting the crate = -250 N (negative since it is opposite to the direction of motion).
Net force on crate = 450 N + (-250 N ) = 200N (positive, thus, in the direction of motion).
Acceleration of the crate = 200/50 = 4 N/kg
Thus, the acceleration of the crate in considered situation is 4 N/kg
Learn more about acceleration here:
https://brainly.com/question/1046166
I’ll give thanks, 5 stars and brainliest
Continue the pattern till the tenth digit. 1, 4, 9, 16,...
Answer:
25,36,49,64,81,100
................................
Answer:
Your answer is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Step-by-step explanation:
1 - 4
+ 3
4 - 9
+ 5
9 - 16
+ 7
+9, +11, +13, +15, +17, +19...
[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
calculate the slope of the line shown on the graph using any two of the labeled points. Show your work on paper or in the box below.
How to solve this problem?
Answer:
x° = 35°
Step-by-step explanation:
at 125° to get the opposite angle
180° - 125° = 55°
then,
x° + 90° + 55° = 180°
x° = 180° - 145°
x° = 35°
The temperature at 6pm is
54℉. The temperature at 10pm
is 42℉. How many degrees did
the temperature fall?
Answer:
12
Step-by-step explanation:
Answer:
12°F??¿??¿????¿??!??????????
I WILL GIVE YOU BRAINYIST IF YOU ANSWER THIS FOR ME
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
What is an advantage of debt consolidation?
A. You will pay a higher interest rate.
B. You will have one monthly payment to manage.
C. You will have less time to make payments.
D. You will need to meet with a debt counselor.
An advantage of debt consolidation is: B. You will have one monthly payment to manage.
What is Debt consolidation?Debt consolidation can be defined as the way in which a person borrow or collect a loan so as to payoff their old debt or liabilities.
One of the advantage of debt consolidation loan is that you will have one monthly payment to manage or one bill to pay per month instead of several bill.
Therefore the correct option is B.
Learn more about debt consolidation here:https://brainly.com/question/11199005
#SPJ1
if y=0.9 when x=2.4, find y when x=6.4
Answer:
2.4
Step-by-step explanation:
You have to divide 6.4 by 2.4 to get 2.66666666667.
Then you multiply 2.66666666667 and 0.9 to get 2.4
When x = 6.4, y = 2.4
Hope this helps!
Convert 62 miles to hour to feet to second
62 Miles per Hour =
90.933333 Feet per Second
(rounded to 8 digits)
Identify the divisor: 2844/45=63.2
Answer:2844 is divisor of 1
2844 is divisor of 2
2844 is divisor of 3
2844 is divisor of 4
2844 is divisor of 6
2844 is divisor of 9
2844 is divisor of 12
2844 is divisor of 18
2844 is divisor of 36
2844 is divisor of 79
2844 is divisor of 158
2844 is divisor of 237
2844 is divisor of 316
2844 is divisor of 474
2844 is divisor of 711
2844 is divisor of 948
2844 is divisor of 1422
2844 has 17 positive divisors
Step-by-step explanation:
My fingers...
fine all the prime factorization for 22, 44 show your work
Answer:
Step-by-step explanation:
Greatest common factor (GCF) of 22 and 44 is 22.
GCF(22,44) = 22
We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.
PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?
A) 1.25 cups
B) 0.75 cups
C) 1.75 cups
D) 0.25 cups
Answer:
D
Step-by-step explanation: a cup is 4 quarts
A car is traveling at 65 mi/hour. What is the car's speed in feet per second?
Answer:
65 mph = 95.3 feet per second
Determine if the system of equations has a unique solution.
3x - 2y + z = 15
2x + 4y + 6z = 30
X - 2y + 4z = 10
A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution
Answer:
C. Linearly Independent, Unique solution
Step-by-step explanation:
x=11/2
y=7/4
z=2
−1.2x+2.5=0.8x+6.5
Solve for x
Answer:
x = -2
Step-by-step explanation:
It's a matter of rearranging the equation to make x the subject. Simple arithmetic.
Original equation:
-1.2x + 2.5 = 0.8x + 6.5
Start moving constants with variables to left, and constants without variables to right:
-1.2x - 0.8x + 2.5 = 6.5
-1.2x - 0.8x = 6.5 - 2.5
Collect like terms
-2x = 6.5 - 2.5
-2x = 4
Divide both sides by -2 to make x the subject
x = 4/-2
x = -2
Answer: x = - 2.0
Step-by-step explanation:
We can find x by making it the subject of the equation and simplifying:
−1.2x+2.5=0.8x+6.5 [group like terms across the equal sign]
-1.2x - 0.8x = 6.5 - 2.5 [simplify]
- 2.0x = 4 [divide both sides by -2.0]
x = -2.0
Check:
−1.2(-2.0)+2.5 = 0.8(-2.0)+6.5
4.9 = 4.9 ✅
A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A. large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times. Work out the radius and height of the jar.
Please answer correctly with explanation :-)
Step-by-step explanation:
follow the above attachment.
hope this helps you.
hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?
Answer:
50 minutes
Step-by-step explanation:
Amount of time his journey took = 15km ÷ 18km/h
= 0.833h (to 3sf)
= 50 minutes
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
simplify this complex fraction .
Complete the equation of the line through (4,-8)(4,−8)
Use exact numbers.
Y=____+_____
Answer: y = 4x-8
Step-by-step explanation:
(4,-8)
(x,y)
