Answers
Answer:
D
Step-by-step explanation:
...
Related Questions
PLEASE HELP!! Brainliest to first answer
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation() = −5^2 + 20 + 4. Where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Round to the nearest tenth if necessary. Show all of your reasoning used with this algebraic method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method. Round to the nearest tenth if necessary.
Answers
Answer:
The arrow will take 4.19 seconds to hit the ground
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Step-by-step explanation:
The quadratic function is f(t) = -5t² + 20t + 4, where
f(t) is the height in feet
t is the time in seconds
If the arrow hit the ground that means h(t) = 0
→ Substitute h(t) by 0 and use the quadratic formula to find t
∵ h(t) = 0
∴ 0 = -5t² + 20t + 4
→ Switch the two sides
∴ -5t² + 20t + 4 = 0
→ Multiply all terms by -1 to make the coefficient of t² positive
∴ 5t² - 20t - 4 = 0
→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where
a is the coefficient of t²b is the coefficient of tc is the numerical term∵ a = 5, b = -20, c = -4
∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]
∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]
→ Find the values of t in decimal
∴ t = 4.19 seconds OR t = -0.19 ⇒ refused because it is negative
∴ The arrow will take 4.19 seconds to hit the ground
The graph of this quadratic function is a parabola with maximum vertex (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = f(h)To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur
∵ f(t) = -5t² + 20t + 4
∵ a = -5 and b = 20
∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]
∴ The time for the maximum height is 2 seconds
→ Now use it to find k
∵ k = f(h)
∴ k = f(2)
∵ f(2) = -5(2)²+ 20(2) + 4
∴ f(2) = -5(4) + 40 + 4
∴ f(2) = -20 + 40 + 4
∴ f(2) = 24
∴ k = 24
∴ The maximum height is 24 feet
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8
Answers
Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8
Step-by-step explanation: It is simple math-
What are parallel lines cut by a transversal?
Answers
What is equivalent to ³√27a³b⁷
Answers
Answer:uu
Step-by-step explanation:
click on the pic and help asap
Answers
Answer:
41°
Step-by-step explanation:
180°- 63° - 76° = 41°
You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup
Answers
Answer:
A
Step-by-step explanation:
how I solved it was 4x3=12
Answer:
A.
Step-by-step explanation:
That is 1/4 * 1/3 = 1/12,
Please help I’m confused. Thanks ;)
Answers
Answer: a. AB = 15cm long. b. AB = 11.1cm long. c. AB = 3/5cm long.
d. AB = 3 cm long.
Step-by-step explanation:
slope-intercept from two points (4,-8) and (8,5)
Answers
Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
How do you do long division
Answers
Answer:
look at links below
Step-by-step explanation
Jefferson high school has 100 less than 5 times As many Students as Taft high school how many students are at Jefferson high school if Taft high school has 300 students
Answers
Answer:
1,400
Step-by-step explanation:
300x5=1,500 and 1,500-100=1,400
choose the best decimal equivalent to 14/25.
Answers
Answer:
0.56
Step-by-step explanation:
To find the decimal equivalent, we can divide the numerator and denominator together.
14 ÷ 25 = 0.56
Best of Luck!
multiple of 3 between 2 and 20
Answers
Answer:
6, 9, 12, 15, and 18
Step-by-step explanation:
3,6,9,12,15,18 .
Please give me thanks if this helped.
What is (5+3i) - (2-8i) give your answer in standard form
Answers
Answer:
5+3i-2+8i
(5-2)+(3+8)i
3+11i
What is the slope of the line that passes through the points (-2, -1)
and (2, -3)? Write your answer in simplest form.
Answers
Plug this into the formula y2 - y1 / x2 - x1
-2 = x1, x2 = 2, y1 = -1, y2 = -3
-3 - (-1) / 2 - (-2)
-2 / 4
-1/2
The slope is -1/2.
Which number is equivalent to the fraction 15/7? 2
2 1/7
7/15
1 8/7
Answers
Answer:
2 1/7
Step-by-step explanation:
Answer:
2 1/7, is 15/7(improper fraction) as a mixed fraction, and
1 8/7 is an improper mixed fraction equivilent to 2 1/7.
Step-by-step explanation:
15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
In the table shown, the ratio of miles biked to hours biked is constant.
Answers
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
Translate this sentence into an equation.
Goran's height increased by 13 is 48.
Use the variable g to represent Goran's height.
Answers
Answer:
g+13=48
Step-by-step explanation:
Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric , plus 20 % extra . How much fabric did Jessica buy ?
Answers
Answer:
Jessica bought 2.25 yards more material than Derek.
Step-by-step explanation:
Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19
Answers
Answer:
1.09,1.19,1.9,1.901
Answer:
1.09, 1.19, 1.9 ,1.901
Step-by-step explanation:
Please help me :( someone anybody just once I won’t ask again
Answers
Answer:
1) 77
2) -11
3) -11
4) 7
5) 29
Step-by-step explanation:
Just sub the x into the equation.
*I recommend checking my answers, but this is what I would put/
how far does alex swim
Answers
Answer:
24 meters
Step-by-step explanation:
how many solutions does a independent system of equations have?
Answers
Answer:
one solution
An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.
Step-by-step explanation:
Another neighbor said, “My age is the difference between twice my age in 5 years and and twice my age 5 years ago.” How old is this neighbor? A third neighbor had the same claim for 17 years from now and 17 years ago. How old is this neighbor?
Answers
Answer:
The neighbor is 20 years old.
The third neighbor is 68 years old.
Step-by-step explanation:
Equations
Let's set:
x=current age of the neighbor
x+5=his age in 5 years
x-5=his age 5 years ago
He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:
x = 2( x + 5 ) - 2( x - 5 )
Operating:
x = 2x + 10 - 2x +10
Simplifying:
x = 20
The neighbor is 20 years old.
Repeating for the other neighbor, a similar equation is established:
x = 2( x + 17 ) - 2( x - 17 )
Operating:
x = 2x + 34 - 2x +34
Simplifying:
x = 68
The third neighbor is 68 years old.
what is the greatest common factor shared by 51 and 21
Answers
Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Answers
Given:
Parallel lines p and q are cut by transversal r.
m∠3=(3x + 4)° and m∠5=(2x + 11)°.
To find:
The relation between ∠3 and ∠5, then find the measure of angle 5.
Solution:
Parallel lines p and q are cut by transversal r as shown in the below figure.
From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.
[tex]m\angle 3=m\angle 5[/tex]
[tex](3x+4)^\circ=(2x+11)^\circ[/tex]
[tex]3x+4=2x+11[/tex]
Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].
Isolate variable terms.
[tex]3x-2x=11-4[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]\angle 5=(2x+11)^\circ[/tex]
[tex]\angle 5=(2(7)+11)^\circ[/tex]
[tex]\angle 5=(14+11)^\circ[/tex]
[tex]\angle 5=25^\circ[/tex]
Therefore, the measure of angle 5 is 25°.
if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.
Answers
Answer:
f = -5
Step-by-step explanation:
If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.
If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.
2x - 1 = 0
2x = 1
x = 1/2
Hence
f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f
= 16(1/16) + 24(1/8) + 1 + f
= 1 + 3 + 1 + f
= 5+ f
f = -5
Multiply. Express your answer in simplest form.
5/6 x 15
Answers
Answer: 12 1/2
Step-by-step explanation:
Can you Help me out?!
Answers
Answer:
3/4
Step-by-step explanation:
Hope this helps ;)
Please mark me as the Brainliest ;)
Helpppppp it’s middle school stuff
Answers
Answer: Melendez
Step-by-step explanation:
If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.
hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppp
Answers
Answer:
A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond
Step-by-step explanation:
Answer: (a) 25yd.
(b) 8 ft
Step-by-step explanation:
(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25
(b)The formula for a square is A=bh.
Since 8x8=64.