Answer:
t=2
Step-by-step explanation:
We are given the equation
h = -16t²+36t+1
Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).
Therefore, as 9 is the height, we can plug that into our equation to get
9 = -16t²+36t+1
To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get
-16t²+36t-8=0
To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation
-16t²+32t+4t-8=0
-16t(t-2) + 4(t-2) = 0
(-16t+4)(t-2) = 0
Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0
t-2 = 0
t=2
-16t+4 = 0
-16t = -4
t = 1/4
Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down
Please please help !!
Log 128 base root2 .........................................................................................................................................
Answer:
12
Step-by-step explanation:
123657890gjinvhjkfol
Please help immediately, this is urgent!!! If you see this please answer my question.
Answer:
It is the second option down
Step-by-step explanation:
PLZ HELP ASAP ILL MARK BRAINLIEST!
what are the leading coefficient and degree of the polynomial?
9y+8-y^2+12y^4
Polynomial degree : 2
Leading coefficient : 11
Answer:
The degree of the polynomial is 4.
The leading coefficient of the polynomial is 12.
Step-by-step explanation:
The degree of the polynomial is the highest power in the polynomial.
The highest power in the given polynomial is 4.
The leading coefficient of the polynomial is 12.
Which of these figures has rational symmetry?
Answer:
a is the answer parallelogram is a rotational symmetry
what number goes in the blank?? NEED HELP ASAPPP
SOLVE EQUATION
solve for x
|3x+19|=13
Answer:
answer is 20............
Step-by-step explanation:
3x=13-19
x= -6/3
x= -2
Answer:
= -2
Step-by-step explanation:
3x+19=13
3x=13-19
3x/3= 6/3
X= -2
Answer from Gauthmath
{(2,-3),(3,-1),(2,3),(4,6),(6,6)}
Are the ordered pairs a function or not?
Answer:
Its a domain
Step-by-step explanation:
Domain:{2,3,4,6}
Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are different, but the yintercepts are the same. How
many solutions would you expect for this system of equations?
O A. 1
O B. cannot be determined
O C. O
D. infinitely many
Answer:
Option A
Step-by-step explanation:
If the system of equations are,
y = m₁x + b
y = m₂x + b
Since, m₁ ≠ m₂ both the lines will be different (not parallel)
Therefore, the will be at least one solution of the given system of equations.
Option A will be the answer.
Eric and Shiloh each have a savings account. The ratio of Eric’s account balance to Shiloh’s account balance is 4:3. Together they have a total of $140 in their accounts. Use the tape diagram below to help you determine the balance of Eric’s account. [Type your answer as a number.]
Answer:
Eric 80
Step-by-step explanation:
Take 4+3 = 7
140 /7 = 20
There is 20 in each block
Eric gets 4 of the blocks so 4*20 = 80
Shiloh gets 3 of the blocks 3*20 = 60
Answer:
80
Step-by-step explanation:
4 : 3
4x + 3x = 140
7x = 140
x =20
4*20 = eric's amount
= 80
Select the expression that shows the distributive property applied to
13(2+9).
18 of 29 QUESTIONS
13(9+2)
13. 2+ 9
13. 2+ 13.9
13. 2+ 2.9
3rd option is correct
13 × 2 + 13 × 9
I could really use some help
Answer:
045
Step-by-step explanation:
North is equal to 360 or 0 degrees. East is equal to 90 degrees because that is 1/4 of 360.
Thus, northeast is 45 degrees. This image may help.
How to change the decimal 4.5 into a fraction
4.5
= 4.5/1
= 4.5/1.0
= 45/10 [Shifting the decimal to right]
= 9/2 [Reducing to the simplest form]
So, the answer is 9/2.
Which set of ordered pairs does NOT represent a function?
{(0, 0), (1, 1), (2, 2), (3, 3)}
(0, 0), (0, 1), (1, 2), (1, 3)}
{(1,0), (2, 0), (3, 0), (4, 0)}
{(0, 1), (1, 2), (2, 3), (3, 4)}
Answer: (0, 0), (0, 1), (1, 2), (1, 3) does NOT represent a function
Step-by-step explanation:
to tell whether a set of ordered pairs are functions or not, all domains must have different ranges!
range: x-axis (0,0)
domain: y-axis (0,0)
pair 1:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
pair 2:
all the ranges - 0, 0, 1, 1 - are NOT all different, which means it is NOT a set of ordered pairs
pair 3:
all the ranges - 1, 2, 3, 4 - are different, which means it IS a set of ordered pairs
pair 4:
all the ranges - 0, 1, 2, 3 - are different, which means it IS a set of ordered pairs
let me know if you have any more questions or if i made any mistakes. hope this helped, and good luck! ˶ˆ꒳ˆ˵
(5,8) and (x, 12) slope is -2, find x
PLEASE HELP ASAP
Which numbers belong to the solution set of the inequality?
6x < 48
A. 1,3,5,8
B. 2,4,5,7
C. 7,9,13,16
D. 9, 12, 14, 20
Answer:
B. 2, 4, 5, 7
Step-by-step explanation:
6x<48
Divide by 6 on both sides:
x < 8 (excluding 8)
You can test values greater than 8, and if it yields false, then try different numbers.
Hope this helps!
Suppose you have D12000 to save . You have to save some amount at 10% and the rest at 15% how much should be saved at each rate to yield 12% on the total amount saved
Answer:
$7200 at 10%
$4800 at 15%
Step-by-step explanation:
Please help me anyone
Answer:
Step-by-step explanation:
y = x^2 + 4
x = 11 Put this value in wherever you see an x on the right.
y = 11^2 + 4
11^2 = 11 * 11 = 121
y = 121 + 4
y = 125
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes it can
Step-by-step explanation:
To check wether it's a right angle triangle we need to apply the Pythagoras theorem
h^2= a^2 +b^2
Hypotenuse is always the longest side so
5^2 = 3^2 + 4^2
This is correct, so the triangle is a right angle triangle
Answer from Gauthmath
Jamie bought a new pair of jeans for $\$10$ because the price marked was $75\%$ off the original price. What was the original price of the pair of jeans?
Answer:
$40
Step-by-step explanation:
Let
Original price = x
Selling price = $10
Discount = 75%
Selling price = original price - (Discount * original price)
10 = x - 75% of x
10 = x - 0.75 * x
10 = x - 0.75x
10 = 0.25x
x = 10/0.25
x = 40
Original price = x = $40
Which of the following statements is false ?
Answer:
The bases of an isosceles trapezoid are congruent is false.
Step-by-step explanation:
Let's analyse each option.
In a Rhombus, the diagonals are perpendicular at the point of intersection and bisect each other is true.
In isosceles trapezoid, the sides are congruent but not the bases. So, this incorrect!
The rectangle is an Equi-angular because all the angles are equal. So, this is true.
The base angles are congruent in isosceles trapezoid. So, this is true too.
help which one is the correct one
Answer:
B.) x^12
Step-by-step explanation:
You don't multiply the exponents when multiplying x^7 × x^5, you add them.
If we add the exponents, we get x^12.
Hope this helps!
If there is something wrong, just let me know.
Solve the system by substitution
y= 5x− 22
y= 4x− 17
Answer:
x=5, y=3
Step-by-step explanation:
Find the volume of a sphere with a diameter of 17.2 cm. Use 3.14 for it Round your answer to the nearest
tenth
Answer:
2663.0 cm³ (3 s.f.)
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]
Radius= diameter ÷2
Radius of sphere
= 17.2 ÷2
= 8.6 cm
Volume of sphere
[tex] = \frac{4}{3} (3.14)(8.6)^{3} [/tex]
= 2663.0 cm³ (3 s.f.)
Help Please Now!!!
Find the volume of the rectangle prism
Answer:
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
V =48 cm^3
Step-by-step explanation:
The volume of a prism is given by
V = l*w*h
V = 3*4*4
V =48 cm^3
5. Find the measures of the following. Round to the nearest whole number. (2 points)
a. HT
H
b. 2T
15 cm
C. ZH
W
8 cm
T
Answer:
HT = 17 cm
<T = 58°
<H = 32°
Step-by-step explanation:
✔️Find HT:
Since it's a right triangle, we would apply the Pythagorean Theorem given as c² = a² + b²
Where,
a = HW = 15 cm
b = WT = 8 cm
c = HT
Plug in the values:
HT² = 15² + 8²
HT² = 289
HT = √289
HT = 17 cm
✔️Find <T by applying trigonometric ratio formula:
Recall: SOH CAH TOA
Reference angle (θ) = <T
HW = 15 cm = Opposite side length
WT = 8 cm = Adjacent side length
Apply CAH:
Cos θ = Adj/Hyp
Substitute
Cos T = 8/15
T = [tex] cos^{-1}(0.5333) [/tex]
T ≈ 58°
✔️Find <H:
Sun of interior angles of a triangle = 180°
Therefore,
m<H + m<T + m<W = 180°
Substitute
m<H + 58° + 90° = 180°
m<H + 148° = 180°
m<H = 180° - 148°
m<H = 32°
What the length of segment LM
Answer: LM = 23
Step-by-step explanation:
Solve the algebraic equations:
Line KN: (solve for x)
[tex]14x-3=25[/tex]
move the 3 to the other side with addition
[tex]14x=28[/tex]
divide by 14 to get x by itself
[tex]x=2[/tex]
Now that we have x we can find line KL:
[tex]9(2)+5\\18+5\\23[/tex]
So we now know that KL is 23 units. And we know that KL = LM
In the graph, what does A represent?
major axis
vertices
minor axis
foci
An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. In the graph, the A represents the minor axis of the ellipse.
What is the equation of ellipse if its major and minor axis and center are given?Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, and let the ellipse is centered on (h,k) with major ellipse parallel to x-axis, then the equation of that ellipse would be:
[tex]\dfrac{(x-h)^2}{a^2} + \dfrac{(y-k)^2}{b^2} =1[/tex]
Coordinates of its foci would be: (h±c, k) where c² = a² - b²
If its major axis is parallel to y-axis, then,
coordinates of its foci would be: (h, k±c) where c² = a² - b² and its equation would be:
[tex]\dfrac{(x-h)^2}{b^2} + \dfrac{(y-k)^2}{a^2} =1[/tex]
An ellipse is a plane curve that surrounds two focus points and has a constant sum of the two distances to the focal points at all places on the curve. Since an ellipse has two diameter, the major and the minor diameter. Therefore, in the graph, the A represents the minor axis of the ellipse.
Learn more about Ellipse here:
https://brainly.com/question/19881832
#SPJ2
A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the triangle to be 8 feet. The area of the logo must be at least 36 square feet. (The logo has to be seen from all the seats.) Write an inequality that describes the possible base lengths (in feet) of the triangle.
Use b for the base length of the triangular logo.
SOMEONE PLS HELP ME! THANK YOU!
Answer:
[tex]b\geq 9[/tex]
In other words, the base must be at least 9 feet long.
Step-by-step explanation:
The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.
Recall that the area of a triangle is given by:
[tex]\displaystyle A = \frac{1}{2}bh[/tex]
Since we want to area to be at least 36 square feet:
[tex]\displaystyle \frac{1}{2}bh \geq 36[/tex]
We are given that the height is eight feet. Substitute:
[tex]\displaystyle \frac{1}{2}(8)b\geq 36[/tex]
Simplify:
[tex]4b\geq 36[/tex]
Divide both sides by four. Hence, our inequality is:
[tex]b\geq 9[/tex]
In words, this means that the base must be at least 9 feet long.
2. Peter wants to order tickets to a production of Charles Dickens' A Christmas Carol. Each ticket
costs $30 and there is a one time service fee of $12 for the transaction. What is an expression that
would find the total cost for any number of tickets that Peter orders? Use t for the variable to
represent the number of tickets he purchased.
Answer
Answer:
There is overwhelming evidence that human activities, especially burning fossil fuels, are leading to increased levels of carbon dioxide and other greenhouse gases in the atmosphere, which in turn amplify the natural greenhouse effect, causing the temperature of the Earth's atmosphere, ocean, and land surface to ...
