Answer:
The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird
Step-by-step explanation:
From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;
h = -16·t² + 22.3·t + 2
Where;
t = The time (duration) in seconds
The discriminant of the equation a·x² + b·x + c = 0 is b² - 4·a·c
When h = 10, we have;
10 = -16·t² + 22.3·t + 2
∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8
The discriminant of the given quadratic equation is given as follows;
The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0
Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10
The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.
The Jaguarundi will not reach the bird flying at the height of 10 feet.
Answer:
No, the Jaguarundi will not reach the bird
Step-by-step explanation:
The equation is
[tex]h=-16t^2+22.3t+2[/tex]
When h = 10 feet
[tex]10=-16t^2+22.3t+2[/tex]
[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]
[tex]a=-16[/tex]
[tex]b=22.3[/tex]
[tex]c=-8[/tex]
Discriminant is given by
[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]
[tex]\Rightarrow b^2-4ac=-14.71[/tex]
[tex]\Rightarrow b^2-4ac<0[/tex]
So, the Jaguanrundi will not reach the bird as the roots will be imaginary.
Maya bought a board game that cost $24. She had to pay a 7 1/2% sales tax. How much change did she get from thirty dollars?
Answer: $4.20
Step-by-step explanation:
24(.075)=1.80
24+1.80=25.80
30-25.80=4.20
28) (-5ưyA +9u) + (-5ư v4 - 8u + 8u²v2)+(-8u*v + 8uº4)=
Answer: good luck
Step-by-step explanation:
PLEASE HELP ME!!!! In each diagram AB is tangent to C at B. Find the value of x.
Which Angle has a corresponding angle of angle 6
Answer:
lines l and m are not parallel so the only angle we can say with certainty that has the same measure as angle 6 is angle 8 because they are vertical angles
Step-by-step explanation:
What ordered pair represents the y-intercept for the function y=2^x
Answer:
(0, 1)
Step-by-step explanation:
[tex]y = {2}^{x} \\ \\ plug \: x = 0 \\ \\ y = {2}^{0} \\ \\ y = 1 \\ \\ (x, \: \: y) = (0, \: \: 1)[/tex]
Compare lengths. Select >, <, or = .
900 cm _ 9 m
Answer:
900 cm = 9 m
Step-by-step explanation:
9 m = 900 cm
Therefore, 9 m equals 900 cm.
help i really need help WILL GIVE BRAINLIEST
Answer:
3 and 4
Step-by-step explanation:
Jim sliced a cylinder to create a cross section shaped like an oval. How did Jim slice the cylinder?
Answer:
He sliced it diagonally or at an angle.
Step-by-step explanation:
He sliced it diagonally (or at an angle) because the horizontal cross-section of a cylinder is a circle and the vertical cross-section of a cylinder is a rectangle, an oval is between a rectangle and a circle.
The simple interest on birr 400 invested for 4 months was birr 12, what is the annual (yearly) rate of interest?
Answer:
9%
Step-by-step explanation:
Given :
Principal, P = 400
Time, t = 4 months = 4/12 = 0.33333
Simple interest = 12
Simple interest = (principal * rate * time)
Rate = r
12 = (400 * r * 0.33333)
12 = 133.3333r
r = 12 / 133.3333
r = 0.090000
r = 0.09
rate = 0.09 * 100% = 9%
Help ASAP! Will name brainliest!
TILAPIA FISH!!!!!!!!!
Answer:
yes.
................................
You need help with anything??
4. Which ordered pair best represents a point
on Tia's route to the store?
F .(-5, 6)
G. (-2.5, 0)
H. (-2,5)
J. (-3.5, -3)
Answer:
G. (-2.5, 0)
Step-by-step explanation:
Starting from the origin, (0, 0), go 2.5 units to the left (because it's negative) on the x-axis, and then 0 units on the y-axis. You end up on (-2.5,0).
hope this helped :)
Which of the following numbers is not a
rational number?
A. -3
B. 2.7
C. 14
D. 15
Trick question! All are rational numbers.
..................................................................................
A property worth 10,480.00 is shared between Eugenia and her 10 brothers in ratio: 1:4 respectively.The 10 brothers shared their portion equally.Find each the brothers share.
Answer:
838.4
Step-by-step explanation:
From the question,
Total worth of the property = 10480.
Eugenia share: Her 10 brothers share = 1:4
Total ratio = 1+4 = 5.
Her 10 brother's share = (4/5)(10480)
Her 10 brother's share = 41920/5
Her 10 brother's share = 8384.
If the 10 brothers shared their portion equally,
Each brother's share = 8384/10
Each brother's share = 838.4
What will be the 50th term in the sequence defined by an = -11 +5(n − 1)?
Answer:
234
Step-by-step explanation:
Simplify the expression. an=5n-16. Substitute 50 for n. 5(50)-16= 250-16=234
For problems like this, simplifying the equation helps.
uh someone help D:
ill make the points high
Answer:
m = 18/4 = 9/2 = 4.5
Step-by-step explanation:
Notice that the line passes through (0, 0) and (4, 18). Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5 This is Answer B
Nick is curious about which cell phone provider is most used by his neighbors. He asks several neighbors about their provider and draws a conclusion based on the answers he received. What kind of statistical study did Nick conduct? A. survey B. experiment C. observational study D. theoretical study
Answer:
A. Survey
Step-by-step explanation:
Answer:
Option A. Survey
Step-by-step explanation:
What is survey?
Survey is defined as the act of examining a process or questioning a selected sample of individuals to obtain data about a service, product, or process.
Nick collected samples and then concluded his answer which is a survey he conducted.
Correct answer is Option A.
To know more about survey here.
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3 feet
5 feet
4 feet
Answer:
Post the question along with this
If m∠4 = 35°, find m∠2 and m∠3.
There are two parallel lines. Point A and B are on the upper line and point C and D are same are A and B on the lower line. The segment AC is perpendicular to both parallel lines. There is another segment CB. The angle CAB is denoted by 1. The angle ABC is denoted by 2. The angle ACB is denoted by 3. The complementary angle of angle 3 is denoted by 4.
m∠2 =
°
m∠3 =
°
Answer:
Step-by-step explanation:
yes
The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
Since we lack a measurement for angular rotation, the angle is a valuable tool for measuring angular distance. For instance, a meter or an inch is a unit of measurement for linear motion.
Given that AB and CD are parallel and AC is perpendicular to both.
So,
∠ACD = 90°
∠3 + ∠4 = 90°
∠3 = 90 - 35 = 55°.
Now,
Since ∠4 and ∠2 are alternative angles so both will be the same.
So,
∠2 = 35°
Hence "The ∠3 is an alternate angle of ∠4 so it is 35° while ∠3 is a complimentary angle of ∠4 so it will be 55°".
For more about the angle,
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Which one would result an integer
Answer:
c is the only one that would result in an integer
Step-by-step explanation:
i hope this helps :)
Option c ∛ 27 would result in an integer.
what are integers?An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.
Hence, Option c ∛ 27 would result in an integer.
Learn more about integers here:
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Solve 2x2 + x − 4 = 0
Answer:
x = 0
Step-by-step explanation:
hi there!
im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!
2 * 2 + x - 4 = 0
is our equation that we are working with ^
first step is, following the pemdas we multiply *2 with its self
( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )
2 * 2 + x - 4 = 0
2 * 2
= 4 + x - 4 + 0
then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of x = 0
4 + x - 4 + 0
4 + - 4 = 0
x = 0
i hope this helps you! have a good rest of your day :)
Please help I’m struggling
What is 1/2 ( f - 10 ) when f= 16
Please help me, I’m struggling
Answer:
28[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
[tex]\sqrt{96}[/tex]
= [tex]\sqrt{16(6)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{6}[/tex]
= 4[tex]\sqrt{6}[/tex]
Then
7[tex]\sqrt{96}[/tex]
= 7 × 4[tex]\sqrt{6}[/tex]
= 28[tex]\sqrt{6}[/tex]
Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.
Answer:
(a) 25
(b) 9.27
Step-by-step explanation:
Step 1
We have to rearrange the given days set from least to highest
35, 40, 45, 55, 60
(a) the range
Range = The highest number - The least number
= 60 - 35
= 25
(b) the standard deviation of the data set
35, 40, 45, 55, 60.
We find the Mean
Mean = Sum of values/Number of values
= 35+40+45+55+60/5
= 235/5
= 47
We can find the standard deviation now.
The formula =
√(x - Mean)²/n
= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5
= √144 + 49 + 4 + 64 +169/5
= √430/5
= √86
= 9.273618495
Approximately = 9.27
Number 3 please helppppppp 10 points!!!!
Answer:
A. Scores 90 and 95
Step-by-step explanation:
A. works because the pattern makes sense as it is adding by 5.
B. doesn't work because after 85 becomers80 which doesn't make sense since there is 100 on the end so the pattern for the x-axis is adding up.
C. doesn't work because after 90, it becomes, 100 and after that, there is another 100 and the pattern makes no sense.
D. doesn't work because our pattern rule is adding and after the 90 becomes 75 so it is subtracting so it doesn't work.
So our final answer is A.
Answer:
90 and 95
Step-by-step explanation:
look at the dot plot on the very left. it shows two blanks. then in the diagram it shows results of 85, 90, 95, and 100. on the dot plot it has 85 and 100 plotted but is missing 90 and 95.
Someone help me please! With 3 and 4
Solve for x, y, and z. Enter the integer that is under each radical.
Answer:
[tex] x=\sqrt{10} [/tex]
[tex] y = \sqrt {14} [/tex]
[tex] z = \sqrt {35} [/tex]
Step-by-step explanation:
By geometric mean theorem:
[tex] x=\sqrt{2\times 5} [/tex]
[tex] x=\sqrt{10} [/tex]
By Pythagoras Theorem:
[tex] y^2 = x^2 + 2^2 [/tex]
[tex] y^2 = (\sqrt{10}) ^2 + 2^2 [/tex]
[tex] y^2 = 10 + 4 [/tex]
[tex] y^2 = 14 [/tex]
[tex] y = \sqrt {14} [/tex]
Again by Pythagoras Theorem:
[tex] z^2 = x^2 + 5^2 [/tex]
[tex] z^2 = (\sqrt{10}) ^2 + 5^2 [/tex]
[tex] z^2 = 10 + 25 [/tex]
[tex] z^2 = 35 [/tex]
[tex] z = \sqrt {35} [/tex]
Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.
Which simulation design has an appropriate device and a correct trial?
Complete question is;
Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.
Which simulation design has an appropriate device and a correct trial?
A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.
D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.
Answer:
B) Using a table of random digits, select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
Step-by-step explanation:
Since she knows that if she rolls a four on three of her next five rolls she will lose the game, then the best simulation that she will roll a four on three of the next five rolls will be option B because it uses a table of random digits and doesn't ignore any number but is well ordered with 0-6 representing a four and 7-9 not rolling a four.
PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n