A rocket is launched from atop a 74-foot cliff with an initial velocity of 113 ft/s. The height of the rocket above the ground at time t is given by h=16t^2+113t+74. When will the rocket hit the ground after it is launched? Round to the nearest tenth of a second.
9514 1404 393
Answer:
7.7 seconds
Step-by-step explanation:
The solution is given by the quadratic formula.
For ax² +bx +c = 0, the roots are ...
x = (-b±√(b²-4ac))/(2a)
We want the positive root, so ...
x = (-113 -√(113² -4(-16)(74)))/(2(-16)) = (113 +√17505)/32 ≈ 7.6658
The rocket will hit the ground about 7.7 seconds after it is launched.
if x =31 and z=27 then what is the value of y?
Answer: y = 89
Step-by-step explanation:
[tex]x=\frac{y-z}{2} \\\\31=\frac{y-27}{2}\\\\62=y-27\\\\89=y[/tex]
1.) Write a quadratic rule that represents the table below in standard form.
- 7
x
у
-6
-5
0
-5
-8
4
-9
-3
-8
-2
-5
-1
0
0
7
1
16
2.
27
Step-by-step explanation:
1st quadrant is(+,+)
2nd quadrant is(+,-)
3rd quadrant is (-,-)
4th quadrant is (-,+)
Which best describes an angle?
A. Two distinct rays that originate from a common point
B. Two parallel lines on a plane
C. The set of all points equidistant from a particular point
D. A line with a starting point that extends to infinity
Will give to the brainliest!!
Help! Jeez these are hard.
Answer:
option 2
Step-by-step explanation:
a colored in dot is less than or equal to or greater than or equal to while an uncolored dot is less then or greater than. arrow going left of the number is less than arrow going right is greater than. the problem is a is greater than 4/5 so an uncolored dot shout be on 4/5 going to the right
In the triangle, ABC, the measure of ∠A is 30° and the measure of ∠C is 90°. What is the measure of ∠B?
Answer:
60°
Step-by-step explanation:
angle A +angle B +angle C = 180
30° +B+90°= 180
120°+B=180°
B=180°-120°
B=60°
help pleaseeeeeee :(
Answer:
Do 16 times pi.
Step-by-step explanation:
The closest answer is D.
Answer:
8 (option 1)
Step-by-step explanation:
Mark it as option 1 => 8 is the crt answer
2pi r = 16
r = 8
Please help me ASAP please
Answer:
The total money you pay is dependentThe time is independentStep-by-step explanation:
First lets lay out our vocabulary
Dependent is the variable that relies on the other variable
Independent is the variable that can change however it can unlike the dependent
Since you HAVE to know the time to get the money, the time is independent.
The amount of time affects the total money as it goes up
Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax
Answer:
[tex]105(.15)+x=170[/tex]
Hope this helps, have an amazing day!
Answer:
144.50 so he got 25.50 Dollars off
Triangle PQR with vertices P(-2, 3), Q(2, 4),
and R(1, -1) in the line x = -3.
9514 1404 393
Answer:
P'(-4, 3)Q'(-8, 4)R'(-7, -1)Step-by-step explanation:
Reflection over the line x=a is accomplished by the transformation ...
(x, y) ⇒ (2a -x, y)
For 'a' = -3, this becomes ...
(x, y) ⇒ (-6 -x, y)
P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)
Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)
R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)
Write the log equation as an exponential equation. You do not need to solve for x. log(5x+2)=3
Answer:
So happy you are with brainly
Step-by-step explanation:
34
Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet
Answer:
4ft
Step-by-step explanation:
Answer: 77ft
Step-by-step explanation:
10.) A book that normally cost $5.50
is marked up by 40%. What is the
selling price of the book?
Answer:
the answer is seven point seven
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
exponent
Step-by-step explanation:
Answer:
power or exponent it can be both, but being specific here, choose exponent
Step-by-step explanation:
i studied this concept trust me
pls help me find the missing dimension
Answer:
4
Step-by-step explanation:
2 times 3 times ?
=4
What is the perimeter of the trapezoid?
Answer:
we all know that perimeter is the total distance around us.so the perimeter of a trapezoid is the sum of the lengths of its four sides.if one side is missing use the pythagoras theory.
Step-by-step explanation:
if am wrong please tell me right away
you deposit $1,200 in a bank account. Find the balance after 4 years in the account pays 3.5% annual interest compounded monthly
Answer:
The balance after 4 years would be $1,380.05.
Step-by-step explanation:
Given that you deposit $ 1,200 in a bank account, to find the balance after 4 years in the account pays 3.5% annual interest compounded monthly, the following calculation must be performed:
1,200 x (1 + 0.035 / 12) ^ 4x12 = X
1,200 x 1.00291666 ^ 48 = X
1,380.05 = X
Therefore, the balance after 4 years would be $1,380.05.
Answer:
The balance after 4 years in account pays 3.5% annual interest compounded monthly is 1308.05$
3 points
Using this set of data: 5,7,7,6, 4, 8, 17,5,7,5, 6 and 5 find the following
items.
7
5
6.5
4
8
2
third quartile
interquartile
range
first quartile
O
Back
Next
Page 2 of 5
Answer:
Step-by-step explanation:
A theater has 36 seats in the first row, 39 seats in the second row, 42 seats in the third row, and so on. How many seats are in the 18th row?
There are
seats in row 18
Answer: you'll have 87 seats in the 18th row
Step-by-step explanation:
an = a1+(n-1)d
a18= 36+(18-1)3
a18= 36+51
a18= 87
The 18th row will have 87 seats.
What is arithmetic progression?
'An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.'
According to the given problem,
Number of seats in row 1 = 36
Number of seats in row 2 = 39
Number of seats in 3rd row = 42
Difference between the numbers ( d ) = 39 -36
= 3
We know, according to the formula of Arithmetic Progression,
[tex]a_{n} = a_{1} + (n-1)d[/tex]
We need to find for the 18th row,
[tex]a_{1}[/tex] = 36
d = 3
n = 18
⇒ [tex]a_{18}[/tex] = 36 + ( 18 - 1 )×3
⇒ [tex]a_{18}[/tex] = 36 + 51
⇒ [tex]a_{18}[/tex] = 87
Hence, we can conclude, there will be 87 seats in the 18th row.
Learn more about arithmetic progression here: https://brainly.com/question/13989292
#SPJ2
Please help i need a four letter code in ALL CAPS!
Answer:
LRIW
Step-by-step explanation:
I hope this is what you were looking for
plz help will give brainiest what is x if it equals y*z*f*r*356 if y=18 z=5 f=7 and r=28 quick help
Answer:
Step-by-step explanation:
"Petra is making donuts by stamping circles in dough using a pastry stamp with a radius of 1.5 inches. For the donut hole, she stamps out a circle of dough using a pastry stamp with a radius of 0.5 inches." What is the area of the donut hole? Use 3.14 for . *
Answer:
6.28
Step-by-step explanation:
[tex](3.14)(1.5) {}^{2} = 7.065 [/tex]
[tex](3.14)(0.5) {}^{2} = 0.785[/tex]
[tex]7.065 - 0.785 = 6.28[/tex]
.....................................
Answer:
Step-by-step explanation:
The slope of the line is 4/3.
The value of y when x = 0 is -7.
Equation of line:
y = (4/3)x - 7
what is the answer to this?
What is the approximate volume of the cone? Use 3.14 for π.
Round to the nearest tenth. NO LINKS pls help <3
Answer:
About 131.95 (you may have to round up)
Step-by-step explanation:
Volume of a cone = pi(r^2)(h/3)
= pi(3^2)(14/3)
= pi(9)(4 & 4/5)
= pi(43.2)
If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.
What is the value of z for the equation 2 -- +22?
O
-3
O-1
0 1
3
Answer:-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
A bag of marbles contains 4 red marbles, 5 yellow marbles, 2 green marbles, and
7 blue marbles. You draw one marble from the bag. Select ALL FALSE statements.
1.) The probability of drawing a red marble is 33%
2.) The probability of drawing a green marble is 1/9.
3.) The probability of drawing a blue marble is twice as much as the probability of
drawing a green marble.
4.) It is more likely to choose a red marble than a green marble.
Answer:2 and 3
Step-by-step explanation:
They just aren't correct im not sure how to explain
32 1/2 meters to feet
Answer:
106.6273
Step-by-step explanation:
Answer:
106.6273 ft
Step-by-step explanation:
Solve the system of equations by graphing
Answer:
Here's a graph to help you solve this answer:
What is the distance between (−5,−6) and (−3,−8)?
Choose 1 answer:
(Choice A)
2
(Choice B)
4
(Choice C)
the square root of 4
(Choice D)
the square root of 8