Answer:
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:
[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)
Roots are determined analytically by the Quadratic Formula:
[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]
[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]
The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].
[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:
[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]
[tex]k \approx \pm 0.028[/tex]
The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.
simply 4 2/9 + 1 5/6 - 21/3 pls I need the answer to this
6 1/8
6 1/8
this is the answer
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
13
оооо
31
О 34
Answer:
Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.
By which we can say f(n - 3) = f(n) + 9
Since f(4) is 22, then f(1) must be 22 + 9, or 31.
A circle with a radius of 15 yards contains a sector with an area of 609 yde. Find the measure of
the central angle of the sector in both radians and degrees.
(HELP PLEASE)(WILL GIVE BRAINLIEST)
Answer: 310.3° or 5.41 radians.
Step-by-step explanation:
The area of a circle of radius R is calculated as:
A = pi*R^2
Now, if we have a sector of an angle θ degrees, the area of that sector is:
A = (θ/360°)*pi*R^2
In this case, we know that:
R = 15yd
And the area of the sector is 609 yd^2
Then we can replace these two values in the equation to get:
609yd^2 =(θ/360°)*3.14*(15yd)^2
(609yd^2)*360°/(3.14*(15yd)^2) = θ = 310.3°
And we want the angle also in radians.
We know that:
3.14 rad = 180°
(3.14 rad/180°) = 1
Then:
310.3° = 310.3°*(3.14 rad/180°) = (310.3°/180°)*3.14 rad = 5.41 radians.
The measure of the central angle in degrees and radians are 310.32° and 5.42 rad respectively
Sector of a circle:Area = ∅/360 × πr²where
r = radius
∅ = central angles
Therefore,
609 = ∅ / 360 × 3.14 × 15²
609 = 706.5∅ / 360
219240 = 706.5∅
∅ = 219240 / 706.5
∅ = 310.318471338
∅ = 310.32°
1° = 0.0174533 rad
310.32° = ?
Angle in radian = 310.32° × 0.0174533 = 5.41610573 ≈ 5.42 rad
learn more on circles here; https://brainly.com/question/19340105?referrer=searchResults
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will mark brainliest if correct
Answer:
due
Step-by-step explanation:
How do you write 3% as a fraction
Answer: 3/100
Step-by-step explanation:
Answer:
3/100
Step-by-step explanation:
what is the percent change in the price of a gallon of gas, to the nearest whole percent? is it an increase or a decrease?
Answer:
13,64% decrease.
Explanation:
[tex]420/3079*100=13,64[/tex]
What are the missing numbers from 48, 49, 51, 54, 84, 93, 103, 114
Answer:
50,52,53,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,88,89,90,91,92,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,111,112,113
Step-by-step explanation:
help me it's about solutions of triangles
about:
-sine rule
-cosine rule
-area of triangles
Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Here, s = [tex]\frac{a+b+c}{2}[/tex]
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s = [tex]\frac{39+87+58}{2}[/tex]
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC = [tex]\sqrt{92(53)(5)(34)}[/tex]
= [tex]\sqrt{828920}[/tex]
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km
PLEASE HELP IM GETTING TIMED 8. The graph shows the relationship between the depth of a diver and the time that has passed .
Which function best represents the relationship shown in the graph ?
A. y = 10x - 15
B. y = 2x - 15
С. y = - 10x - 15
D.y=-15x-10
Answer:
C
Step-by-step explanation:
Glad I could help!
Answer:
c
Step-by-step explanation:
rise/run
-20/2=-10 for the slope
Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
He used the following steps:12/1 x 3/4=36/4
-36/4=9
What error did Robert make?
OA) Robert used subtraction rather than multiplication.
OB) Robert used addition rather than multiplication.
Robert forgot to find the reciprocal of before
OC)
multiplying
Robert forgot to find the reciprocal of 1 before
multiplying.
OD)
what is 8 divided by 874.....for my little sister
At a camping site, there are 3 yellow canoes for every 5 blue canoes. What percentage of the canoes are blue?
Answer:
60%
Step-by-step explanation:
Percentage of blue canoes = [tex]\frac{3}{5}[/tex] × 100%
= 60%
What is the explicit formula of the sequence?
HELP WALLAH AGAIN PLSSSS
Answer:
7
Step-by-step explanation:
the answer to the question is
7. :)
three artist each painted 27 frog and 15 lions two other artist each painted the same number of lions and twice as many frogs.how many animals did the five paint in all?
Dont have to graph it, just tell me the answers, I kinda need this now :v
Answer:
3/4(n)+1
3/4(8)+1=
6+1=7
3/4(12)+1=
9+1=10
3/4(14)+1=
10.5+1=11.5
3/4(20)+1=
15+1=16
I hope this helps:
Find the zeros of y=x^2+6x-4 by completing the square
Answer:
so i did the math and i got c
I appreciate it bro... You are helping me so much
Answer:
○ [tex]\displaystyle Perpendicular[/tex]
Step-by-step explanation:
Convert each equation to Slope-Intercept Form:
[tex]\displaystyle 3y - 6x - 7 = 0 → 3y - 6x = 7 → 3y = 6x + 7 → y = 2x + 2\frac{1}{3} \\ \\ 2y + x = 3 → 2y = -x + 3 → y = -\frac{1}{2}x + 1\frac{1}{2}[/tex]
Take a look at [tex]\displaystyle 2[/tex] and [tex]\displaystyle -\frac{1}{2}.[/tex] Their rate of changes [slopes] have a '2' in common, they are not similar. This tells you that these linear equations are not parallel, but perpendicular, because perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES].
Did you catch it at all?! ;)
I am joyous to assist you at any time.
If AD = 18 then
AB=
BC=
BC=
Step-by-step explanation:
where is the diagram or shape my guy
find the Factor expression 12x + 18
using the GCF.
Answer:
12× = 2, 2, 3, x
18 = 2, 3, 3
GCF = 6
6( 2x + 3)
Step-by-step explanation:
if you have 1.234545 davidi by 50=
Answer:
The answer is 0.02469090
Step-by-step explanation:
1.234545÷50=0.02469090
Hope this helps you.
A family buys 5 airline tickets. They also buy travel insurance that is an additional $17 per ticket ($85). The total cost for the 5 tickets plus the insurance is $1,495. Let x represent the price of one ticket. Write and equation to represent the situation. *
Answer:
The first answer is 5(x+17)=1,495
The second one is $282
Hope this helps
What is the value of h?
Answer:
in triangle
sin45=p/h
1/√2=8/h
h=8√2
Write an equation for each line?
5) Rupesh is mowing grass to save money for a vacation. He charges $12 20 points
per yard. Rupesh already has $40 saved to use on the vacation. Which
inequality can be used to determine how many yards Rupesh needs to
mow in order to have at least $148 to use on vacation? *
a. 40y + 12 < 148
C. 40y + 12 > 148
b. 12y + 40 > 148
d. 12y + 40 < 148
CU
b
Answer:
Step-by-step explanation:
12y + 40 ≥ 148
12y ≥ 108
y ≥ 9
Rupesh must mow at least 9 more yards to have
the $148 he needs.
Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu
every year 39 million card cross the Golden Gate Bridge in San Francisco. Which kind of function best models the relationship between time and the cumulative number of cars that have crossed the Golden Gate Bride?
Answer:
Linear Function
find the volume of the cone when it's diameter is 8.4 feet and height is 6feet.
Answer:
110.835389 ft3
Step-by-step explanation:
At the beginning of a snowstorm, Leah had 7 inches of snow on her lawn. The snow then began to fall at a constant rate of 1 inch per hour. Assuming no snow was melting, how much snow would Leah have on her lawn 3 hours after the snow began to fall? How much snow would Leah have on her lawn after tt hours of snow falling?
Answer:
10 inches
Step-by-step explanation: