Answer:
Step-by-step explanation:
6 miles / 30 minutes = 0.2 miles /minutes
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.
The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
For more details about Inequality refer to the link given below.
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Correlation coefficients
expand and simplify (x+7)(x+1)
Answer:
x² + 8x + 7
Step-by-step explanation:
(x + 7) (x + 1)
= x(x + 1) + 7(x + 1) Distributive
= (x · x) + ( x ·1 ) + (7· x) + (7 · 1)
= x² + x + 7x + 7 Multiply
= x² + 8x + 7 Add like terms
prove that: sin×sec=tan
[tex]L.H.S\\\\=\sin \theta \sec \theta \\\\=\sin \theta \cdot \dfrac 1{\cos \theta } \\\\=\dfrac{\sin \theta}{\cos \theta}\\\\=\tan \theta\\\\=R.H.S\\\\\text{Proved.}[/tex]
Mrs. Thomas had 18 cups of popcorn. She wanted to separate them into bags that were cup bags. How many bags can she make?
Answer:
the answer would be 3 bags of 6
Identify the equation of the line graphed below. Prove by converting!
A. 2x + y = 4
B. 2x - y = 4
C. x + 2y = 8
D. x - 2y = 8
which statement describes the solution to the system of equations?
Answer:
The solution is (3, 5).
Step-by-step explanation:
The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true. On a graph, you can find this solution by searching for the place where the lines intersect.
In this case, it looks like the lines intersect at the point (3, 5), so this is our final answer. Hopefully that's helpful! :)
The solution is (3, 5), this statement describes the solution to the system of equations.
Option B is correct.
Here, we have,
The statement that describes the solution to the system of equations where two lines intersecting at (3, 5) is:
"The point of intersection of the two lines is (3, 5)."
When two lines intersect at a single point, that point is the solution to the system of equations.
In this case, the coordinates (3, 5) represent the x and y values where the two lines cross each other.
This means that both equations are satisfied when x = 3 and y = 5.
The solution to a system of equations is a point that satisfies both equations - that is, a point that you can input to both equations that makes both of them true.
On a graph, you can find this solution by searching for the place where the lines intersect.
"The point of intersection of the two lines is (3, 5)."
Option B is correct.
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Lisa has a certain amount of money. She spent $39 and has 3/4 of the original amount left. How much money did she have originally
For the polynomial
f(x) = 2x4 – 8v? + 77-25
as
X->
→ -*f(x) –
- DO
We can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
Given the polynomial function expressed as:
[tex]f(x)=2x^4-8x^2+7x-25[/tex]
If x tends to negative infinity, the polynomial function will become:
[tex]f(x)=2(-\infty)^4-8(-\infty)^2+7(- \infty)-25\\f(x)=2(\infty)-8(\infty)+7(- \infty)-25\\f(x)=\infty -\infty -7\infty - 25\\f(x) =\infty - 25[/tex]
Since infinity is a large number, therefore subtracting 25 from it will not have any effect on it and will still return a positive infinity.
Hence we can conclude that as x tends to negative infinity, f(x) will tend to positive infinity is a TRUE statement.
Learn more on polynomial functions here: https://brainly.com/question/7693326
Awnser please jsjshshshdh
Answer:
No
Step-by-step explanation:
A function cannot have two of the same x values (3 and 3)
I hope this helps!
chose the expressions that are equivalent to the expression 3 2/3
A) square root 3^6
B) ^3 square root 3•3
C) square root 3^2 3^2
D) ^3 square root 3^2
E) square root 3^3
F) ^3 square root 9
G) square root 3•3•3•3•3•3
H) square root 3•3•3
Answer:
E no is the correct answer
Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?
Answer:
That seems a little hard-
Step-by-step explanation:
Answer:
$220
Step-by-step explanation:
If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.
385/7 = 55
One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.
55 * 4 = 220
$ tickets cost $220
To practice for a competition, Jack swam 740 meters in the pool each day for 3 weeks. How many kilometers did Jack swim in those 3 weeks?
1 m = 0.001 km
P.S pls help me
Answer:
10080.000
Hope this helps you! Happy holidays
Answer: 15.54 Km
Step-by-step explanation:
740*21 = 15,540 = 15.54 Km
If you could be so kinda as to give me a brainliest, i am trying to get to virtuoso
Find the hypotenus of the following triangles.
Answer:
a 17, b 10, c 15, d 20
Step-by-step explanation:
a^2+b^2=c^2
64+225 = 289
a = 17
36+64 = 100
b = 10
81+144 = 225
c = 15
256+144 = 20
Hope that helps
Lena is converting StartFraction 2 Over 25 EndFraction to a percent. What should she multiply the numerator and denominator of the fraction by to find the percent?
4
8
50
100
Answer:
4 if im right:)
Step-by-step explanation:
Answer:
A percent is a number out of 100, so you'd want to multiply the denominator to get 100. In this case, 25 would have to be multiplied by 4 to get 100. To keep the fractions equal to each other, you have to multiply the numerator by the same thing. 2*4=8. Therefore, your fraction would be 8/100 or 8%
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer:
65
Step-by-step explanation:
65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.
A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
[tex]V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5[/tex]
[tex]V=\frac{1}{3} \times3.14\times26.01\times5[/tex]
Or, [tex]V=136.119 \ cubic \ inches[/tex].
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
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US
Evaluate the following
expression using x = 10:
5x + 31
Answer:
The value is [tex]81[/tex]
Step-by-step explanation:
We need to find value of [tex]5x+31[/tex] when [tex]x=10[/tex]
We have
[tex]5\times10+31=50+31\\\\=81[/tex]
what is the sum of the interior angles of a hexagon?
Hello!
So, every interior angle of a regular hexagon measures 120 degrees.
There are six interior angles of a hexagon, so you have to multiply 120 by 6.
120 x 6 = 720
So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.
Hope this helps!
Convert -439° to radians
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
tell me numbersin order
Part 1:-
cost to park of a day is= $25+$43+$61+$79 =$208and the hourly rate to a paddle boat =208÷24=$8.6 per hour______________________
What will Lin pay if she rents a paddleboat for 3.5 hours and splits the total cost with a friend? Completethe explanation.The total cost to rent the boat will be
3.5 hours x $ 12 per hour + $ 5 =$47
if she spilt cost with a friend ,they will each pay$47 ÷ 2= $ 23.5
6x - 10 - - 8 + 3
3x
What’s the answer?
Answer:
Step-by-step explanation:
-2+39x
I NEED HELP!!!
solve x^3 - 6x^2 - 7x + 60 by factoring. show all work
(using the method in the picture below)
Answer: x = -3, 5, 4
Step-by-step explanation:
Don't have time for it
Plzzz plzzzzzz help meeeee
Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?
(0,6)
(0,–6)
(6,0)
(–6,0)
Answer:
D: (-6,0)
Step-by-step explanation:
Set f(x) equal to 0 and solve for the values of x:
f(x) = (x+6)(x-3)
0 = (x+6)(x-3)
x+6=0 and x-3=0
x=-6 and x=3
Therefore, the x-intercepts are (-6,0) and (3,0). Because only (-6,0) is an option, then option D is correct.
Answer: (-6, 0)
Step-by-step explanation:
got it right on my test
6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8
The answer is for this question is A
NO LINKS PLEASE! AND NO NEGATIVITY!
A coffee pot holds 6 quarts of coffee. How much is this in cups?
Answer:
24 cups
Step-by-step explanation:
1 quart = 4 cups
6x4= 24 cups
Answer:
24 cups.
Step-by-step explanation:
Each quart is equal to 4 cups. This means you have to do 6x4 to find the answer.
what is 3/4÷2/1=
Explain how you got your answer
Answer:
3/2
Step-by-step explanation:
Use the KCF method.
Keep the first fraction (3/4)
Change the sign (division to multiplication)
3/4*2/1=6/4 or 3/2
Answer:
[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]
Step-by-step explanation:
=[tex]\frac{3}{4*2}[/tex]
[tex]\frac{3}{8}[/tex]
Which graph represents an function