-8n +26
I think so I remember doing this.
How do I find the slant height of a cone with a surface area of 734.76 yd and a radius of 9 yd?
Answer:
l≈16.99
Step-by-step explanation:
Using the formula
A=πrl+πr2
Solving forl
l=A
πr﹣r=734.76
π·9﹣9≈16.98682
activity 8.counting the roots of polynomial equation
by inspection determine the number of real roots of each polynomial equation. Roots multiply n are counted n times
1.(x-4)(x+3)^2(x-1)^3=0
2.x^2(x^3-1)=0
3.x(x+3)(x-6)^2=0
4.3x(x^3-1)^2=0
5.(x^3-8)(x^4+1)=0
patulong po plss.
....
Answer and Step-by-step explanation:
A root is considered a real root if it is not an imaginary number (a number in the form of a + bi, where i is a number that is not on the real number line, hence the name: imaginary). Let's inspect the given polynomials.
1. (x-4)(x+3)^2(x-1)^3=0, the equation implies
x – 4 = 0 or (x + 3)^2 = 0 or (x – 1)^3 = 0, this gives:
x = 4
x = –3 twice
x = 1 thrice
They are all real numbers, therefore it has 6 real roots.
2. x^2(x^3-1)=0
x² = 0
x³ – 1 = x³ – 1³ = (x – 1)(x² + x + 1) = 0
The quadratic expressions gives 2 imaginary roots. To check this we can use the determinant formula.
D = b² – 4ac = 1² – 4(1)(1) = 1 – 4 = –3 < 0. This gives roots that are not real.
Therefore the real roots of this polynomial are: 0(twice) and 1. Hence, it has 3 real roots.
3. x(x+3)(x-6)^2=0
x = 0
x = 3
x = 6 twice
Thus, it has 4 real roots.
4. 3x(x^3-1)^2=0
3x = 0 and this gives x = 0
(x^3 – 1)² = [(x – 1)(x² + x + 1)]² = (x – 1)²(x² + x + 1)² = 0, only two roots are real here (the quadratic expression has unreal roots, therefore 1 twice are the real roots).
Therefore, this has 3 real roots.
5. (x^3-8)(x^4+1)=0
x³ – 8 = x³ – 2³ = (x – 2)(x² + 2x + 4) = 0
The only real root here is 2, the quadratic expression had imaginary roots and can be checked using the determinant formula
D = b² – 4ac = 2² – 4(1)(4) = 4 – 16 = – 12 < 0.
x⁴ + 1 = 0 has imaginary roots. Therefore, this polynomial has only one real root.
An airline finds that if it prices a cross-country ticket at $400, it will sell 300 tickets per day. It estimates that each $10 price reduction will result in 30 more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.
Answer:
$300, 400 tickets
Step-by-step explanation:
let x= number of price reduction
let us solve for p(x), the price per ticket with x reductions
p(x)= 400-10x dollars
Also, q(x), the number of tickets sold with x reduction
q(x)=300+10x tickets
we know that revenue
R(x)= p(x)*q(x)
substitute
R(x)= (400-10x)*(300+10x)
open bracket we have
R(x)= 120000+4000x-3000x-100x^2
R(x)=120000+1000x-100x^2
R(x)'= 1000-100x
R(x)'=0
1000=100x
x=10
R(x)"=-100
R(x)"<0
x= 10 is the maximum
from
p(x)= 400-10x
p(x)= 400-10*10
p(x)= 400-100
p(x)= $300
q(x)=300+10x tickets
q(x)=300+10*10
q(x)=300+100
q(x)=400 tickets
PLEASE HELP !!!!!! I DONT UNDERSTAND SO PLEASE SOMONE AT LEAST HELP OR TRY!!!!.
In trapezoid EFGH, EF and HG are the bases. Point J is the midpoint of EHand point K is the midpoint of FG EF=5x+3 , HG=12x−3 , and JK=34 .
What is the value of x?
_______________________
In rectangle FGHJ , the diagonals intersect at point M, FM=3.2x , and JG=40 .
What is the value of x?
Enter your answer as a decimal in the box.
Answer:
The first x = 4
The second x = 6.25
Step-by-step explanation:
For the first question. We need to make use of the midsegment theorem which says, if you have a trapezoid with base1 and base2, then the midsegment is given as:
(Base1 + Base 2)/2.
We are given Base 1 = 5x + 3 and Base 2 = 12x – 3 and the midsegment, JK = 34. To find x we have:
(5x + 3 + 12x – 3)/2 = 34
This gives: 17x/2 = 34.
Therefore, x = (34 x 2)/17 = 4. Thus, x = 4.
As for the second question, we have two diagonals of the rectangle, FH and JG. We are given that JG = 40. We know that the diagonals of the rectangle are equal, therefore FH = 40 as well.
We are told that M is the midpoint, meaning FM is half of the diagonal FH. Mathematically this can be written as:
FM = FH/2
Given that FM = 3.2x and FH = 40, we have:
3.2x = 40/2
3.2x = 20
x = 20/3.2
x = 6.25
Class A has 11 pupils and class B has 20 pupils.
Both classes sit the same maths test.
The mean score for class A is 74.
The mean score for class B is 32.
What is the mean score (rounded to 1 DP) in the maths test across both classes?
Answer:
11(74)+20(32)=1454
1454÷31=46.9
Four elements(A,B,C and D) required to produce a drug for ebola virus treatment are to be mixed in the ratio 1:2:4:5,if the information is to be represented on a pie chart,what percentage will element C have on the pie chart?
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?
Answer:
2%
Step-by-step explanation:
[tex]\frac{5.62 - 5.5}{5.62}[/tex] =
[tex]\frac{0.12}{5.62}[/tex] =
2.135231316726% ≈ 2.14% ≈ 2%
Andrew wants to buy 3 video games that are $50 each. He earns $80 a week. In how many weeks will he have enough money to buy the games?
Answer:2 Weeks
Step-by-step explanation:
Hope this helps
Answer:
2 weeks
Step-by-step explanation:
3 * $50 = $150
he needs at least $150 for the games
after 1 week he has $80---not enough
after 2 weeks he has $160---enough
A fair coin is tossed 4 times. Each time it lands heads up. When it is tossed the fifth time, the probability that it will land heads up is
Raul is considering three different
Answer:
WHAT?!
Step-by-step explanation:
WILL GIVE BRAINLYEST
Answer:
i think its B
Step-by-step explanation:
Answer:
0.8x+4.8y+16
Step-by-step explanation:
On a coordinate plane, how are the locations of the points (-99) and (-99) related?
СА. reflection across the y-axis
B. locations unrelated
reflection across both axes
D.
reflection across the x-axis
Answer:
A. Reflection across the y-axis
Step-by-step explanation:
What is the GCF of 33 and 99?
Answer
33
Step-by-step explanation:
33 goes into 33 1 time and into 99 3 times, thus it is the answer.
Answer:
Step-by-step explanation:
GCF of 33 and 99 is 33
Nancy buys 2 large pizzas for her brother’s birthday party. The girls eat 7/8 and the boys eat 5/8 Nancy says that 1 1/2 are left is she correct
Answer: Nancy is correct because 7/8 is close to benchmark 1 and 5/8 is close to benchmark 1/2 and 1 + 1/2 = 1 and 1/2
Step-by-step explanation:
what is the lowest common multiple of 1/2and 1/4
Answer:
1/2
Step-by-step explanation:
Molly is going to buy a car. This table shows the cars available.
1
Car Color
Price of Car
Cost of Options
2
Blue
$18,790
$625
3
Red
$17,490
$425
Gold
$19,678
no options
White
$18,650
$525
The
car is the most expensive.
O blue
O cold
Type here to search
O
H
Answer:
Gold
Step-by-step explanation:
Add up the cost of the car plus any options to find the most expensive car. In this case, even with no options to add, the gold car is still the most expensive.
What is the slope of this line?
3x + 5y = -2
A. 3/5
B. 3
C. - 3/5
D. - 5/3
E. 5
Suppose the owners of a new bed and breakfast establishment are interested in conducting an experiment to determine effective advertisement strategies for increasing the number of reservations. The bed and breakfast owners intend to rotate advertisements for 12 weeks between a travel website, a travel magazine and a local billboard. Customers making reservations will be asked if they saw the advertisement. In this experiment, the independent variable is ________________.
a.
advertisement venue
b.
number of customer calls
c.
bed and breakfast establishment
d.
number of reservations
e.
travel website
please help me asap!!
Answer:
25 square units
Step-by-step explanation:
Area = length x width. The length is 5 units and the width is 5 units. So 5 x 5 = 25 square units.
Answer:
Hmm...do 5 x 5 x 5 x 5 which equals 100
Step-by-step explanation:
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
5 x 5 is 25
25+25+25+25=100
If a triangle has side lengths a, b, and c and a² + b2 = c?, then the triable is a........ triangle
2+2=?
it's not 4 or 22 :)
Answer:
then its wrong
Step-by-step explanation:
2+2=4
any other answer is wrong
If a2 = b, which of the following is true?
2b=a
b/a=2
evaluated b=a
b/2=a
PLEASE HELPS ITS URGENT!!!!
Answer:
b/2=a
Step-by-step explanation:
a2=b
a x (2) = b change to a times 2
/2 /2 - process of elimination from one side
a=b/2 the answer original
b/2=a flipped
What is 4 hundred thousands
16 thousands
4 hundreds
21 tens
12 ones in standard form
Solve each equation. Check your solution.
–3b + 7 = –15 + 2b
Answer:
Solution:
[tex]b = \frac{22}{5?} [/tex]
Step-by-step explanation:
Rearrange terms:
[tex] - 3b + 7 = - 15 + 2b [/tex]
[tex] - 3b + 7 = 2b - 15[/tex]
subtract 7 from both sides of the equation:
[tex] - 3b + 7 = 2b - 15[/tex]
simplify:
subtract the numbers
⬇️
⬇️
[tex] - 3b = 2b - 22[/tex]
subtract ⬇️ from both sides of the equation
[tex]2b[/tex]
[tex] - 3b = 2b - 22[/tex]
[tex] - 3b - 2b = 2b - 22 - 2b[/tex]
simplify:
⬇️combine like terms
⬇️combine like terms
[tex] - 5b = - 22[/tex]
divide both sides of the equation by the same term:
[tex] - 5b = - 22[/tex]
[tex] \frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?} [/tex]
simplify:
⬇️cancel terms that are in both the numerator and the denominator
⬇️divide the numbers
[tex]b = \frac{22}{?5} [/tex]
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
9855 -45
9855 dived by 45
Answer: 9855-45 is 9810
Step-by-step explanation:
9855 divided by 45 is 219
Randy purchases a cap for $12. The store charges him 7% sales tax on the purchase. How much sales tax will the store charge on the purchase?
Answer:The answer is (D)
Step-by-step explanation:Just took he quiz
help me please the first answer gets the brainiest
Answer:
that is simple, use the graph and put parenthesis around say 1 and 2 then graph it then keep doing that throughout the graph if you want further explanation just ask
Step-by-step explanation:
6 = 2 - 2x + 10
x = ?
Answer:
3
Step-by-step explanation:
6 = 2 - 2x + 10
6 - 2 = -2x + 10
4 = -2x + 10
4 - 10 = -2x
-6 = -2x
-6/2 = -2x/2
-3 = -x
-3/-1 = -x/-1
3 = x
x = 3
Ailani draws a map of her local town. She places the town hall at the origin of a coordinate plane and represents a lake
with a circle drawn on the map. The center of the lake is 19 miles east and 3 miles south of the town hall, and the
radius of the lake is 0.5 miles.
If the positive x-axis represents east and the positive y-axis represents north, which equation represents the lake?
O (x + 19)2 + (y - 3)2 = 0.5
O (x – 19)2 + (y + 3)2 = 0.5
O (x + 19)2 + y - 3)2 = 0.25
O (x - 19)2 + ( + 3)2 = 0.25
T
The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The equation for a circle is given as:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
The center of the lake is 19 miles east and 3 miles south, i.e. (-19, -3) and the radius is 0.5 miles.
The equation of the lake is:
(x - (-19))² + (y - (-3))² = 0.5²
(x + 19)² + (y + 3)² = 0.25
The equation of the lake with a center 19 miles east and 3 miles south with radius of 0.5 miles is (x + 19)² + (y + 3)² = 0.25
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
Answer: D. [tex](x-19)^2+(y+3)^2=0.25[/tex]
Step-by-step explanation:
Let's review what we know:
the lake is circularthe town hall is at the originthe center of the lake is 19 miles east of the origin and3 miles south of itthe radius of the lake is 0.5 milesA circle can be depicted on the coordinate plane with the equation [tex](x-h)^2+(y-k)=r^2[/tex], where:
(h, k) is the center of the circleand r is the radius of the circle19 miles east of the origin would be 19 units to the right of the origin on the coordinate plane, as east is the rightwards direction in real life. In short, h = 19.
Let's plug in that value: [tex](x-(19))^2+(y-k)^2=r^2[/tex].
So we know that the x-coordinate defining part of the equation would have to be [tex](x-19)^2[/tex].
Meanwhile, 3 miles south of the origin would be modeled as three units underneath it, because south would be considered "downwards". The y-value (k) would be negative 3.
Putting what we have so far together, the center of the circle would be (19, -3).
Therefore, the y-coordinate defining part of the equation would be [tex](y+3)^2[/tex].
Here's what the equation looks like with the work we've completed so far: [tex](x-19)^2+(y+3)^2=r^2[/tex]
Finally, let's plug in the radius value 0.5.
0.5 * 0.5 = 0.25
Ailani would use the equation [tex](x-19)^2+(y+3)^2=0.25[/tex] to model the lake in relation to the town hall. I hope that makes sense!
