Answer:
946589196.155
Step-by-step explanation:
Hope that helps
A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2
Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answer:
0.51 and 11.24 seconds.
Step-by-step explanation:
The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:
[tex]h(t)=188t-16t^2[/tex]
And we want to find all values of t for which the rocket's height is 92.
So, we can set h(t) = 92 and solve for t:
[tex]92=188t-16t^2[/tex]
We can divide everything by four:
[tex]23=47t-4t^2[/tex]
Rearrange the equation:
[tex]4t^2-47t+23=0[/tex]
We can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 4, b = -47, and c = 23. Substitute:
[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]
Hence, our two solutions are:
[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]
So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.
Given a right triangle, find the measures of all the angles, in degrees, if one angle is a right angle and the measure of the second angle is six less than seven times the measure of the third angle. WRITE AN EQUATION.
Answer:
90°, 78°, 12°
Step-by-step explanation:
let the third angle be x then the second angle is 7x - 6
Since 1 of the angles in the triangle is 90° then the second and third angles sum to 90° , then
x + 7x - 6 = 90
8x - 6 = 90 ( add 6 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Then
second angle = 7x - 6 = 7(12) - 6 = 84 - 6 = 78°
The 3 angles are 90°, 78°, 12°
convert 2.5 tons into pounds
Answer:
5000 pounds
Step-by-step explanation:
2.5 x 2000 pounds in a ton
5000 pounds
The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
Solve -17 = for x. x =
Answer:
-17
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
57.18
Step-by-step explanation:
C = 2πr
C = 2(π)(9.1)
C = 57.18
.
=2×22/7×12
=75.42in
And
d=18.2cm
[tex]c = \pi \: d[/tex]
= 22/7×18.2
=57.2cm
I chose the first answer, was I correct?
Explain!
Answer: Yes, by SAS
Step-by-step explanation:
This is because, two sides are equal and one angle is equal.
And also there is one angle between 2 sides, so it’s SAS
due soon!!!
find the value of x
Answer:
30 degrees
Step-by-step explanation:
see the opposite side. it is the same thing but upside-down.
(remember straight line is 180 degrees)
Parker borrowed some money from his friend in order to help buy a new video game system. Parker agreed to pay the friend back some amount every week until his loan was paid off. An equation representing the amount Parker owes his friend after tt weeks is L=150-25t. What is the y-intercept of the equation and what is its interpretation in the context of the problem?
Answer:
L = 150
Step-by-step explanation:
y intercept: when x = 0
Plug in x = 0 into the equation.
L = 150
This means that Parker has not yet begun to pay his friend.
What is the value of b on the number line below? A number line from 0 to 1 showing fourths. There is a dot labeled b that is halfway between one half and three fourths.
Answer:
B is 5/8
Step-by-step explanation:
Note: 4/8 = 1/2 and 6/8 = 3/4
Show all work. 5. Find the surface area of the composite figure.
Answer:
4130 m²Step-by-step explanation:
[tex]2\cdot35\cdot20+2\cdot35\cdot15+2\cdot20\cdot15+2\cdot9\cdot18+2\cdot9\cdot21+18\cdot21=\\\\=1400+1050+600+324+378+378=4130\,m^2[/tex]
4x-3=2x+7 please help shdjdjsjsjsndjxj
Answer:
x=5
Step-by-step explanation:
Step 1: Subtract 2x from both sides.
4x−3−2x=2x+7−2x
2x−3=7
Step 2: Add 3 to both sides.
2x−3+3=7+3
2x=10
Step 3: Divide both sides by 2.
x=5
And theres our answer.
Hope this helped! :)
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x= 7 +3
2x=10
2x/2=10/2
x=5
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
Learn more on degree of polynomial here: https://brainly.com/question/25538519
Which inequality is equivalent to −<7 - y < 7 ?
Answer: you didn't provide anything for us to answer
Step-by-step explanation:
An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls
Answer:
8 rooms
Step-by-step explanation:
6 ÷ 3/4 which equals 6 x 4/3 = 8
Answer:
8 rooms
Step-by-step explanation:
6 / (3/4) = 8
what is the soultons from least to greatest (x+6)(-x+1)=0
Which expression is equivalent to (1.009 1/12) 12t?
A. 1.000712t
B. 1.007512t C.1.009012t
D 1.113512t
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Please help
Extra hundred points and brainleist
Answer:
A
Step-by-step explanation:
It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.
What is the perimeter of triangle PQR.
5 units
10 units
√5+3 √2units
2 √5 + √10 units
Answer:
Opps i am really sorry i donot know it
Answer:
Step-by-step explanation:
It's 5 units
What number is 0.01 more than 253.498?
Answer:
1/64
Step-by-step explanation:
Doing it by hand, I get that the number is 1/16 which is equal to 0.0625 and the previous one will be 1/8 which is 0.125.
In the formula given by others, if you apply the 12 to it you will get an=2(5-12)which is equal to 0.0078, less than 0.100 but not the first number.
The correct value for n is 9 that will give us 2-4=1/16
253.508 is 0.01 more than 253.498.
What is Number system?A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.
It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures.
Let the number be x
so,
x=253.498+0.01
x= 253.508
Learn more about concept here:
brainly.com/question/14491091
#SPJ2
The angle of depression of a point G on a horizontal ground from top T of an electrical pole is 25°. If the distance from G to the foot of the pole is 45m, calculate the height of the pole to the nearest whole number. PS: use scale 1:9.
Answer: 21 m
Step-by-step explanation:
Given
the angle of depression of point G is [tex]25^{\circ}[/tex]
Distance from pole base to point G is 45 m
Suppose h is the height of the pole
From the figure, we can write
[tex]\Rightarrow \tan 25^{\circ}=\dfrac{h}{45}\\\\\Rightarrow h=45\tan 25^{\circ}\\\Rightarrow h=20.98\approx 21\ m[/tex]
A study found that soda sales increase in stores located in neighborhoods that have banned soda sales in schools which best
describes how such a study would be designed as an observational study?
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
Simplify each expression
-4 + 7 (1-3m)
Answer:
3 - 21m
Step-by-step explanation:
-4 + 7(1-3m)
-4 + 7 - 21m
3 - 21m
The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm
Answer:
B
Step-by-step explanation:
It's needing to be doubled in size. That should be it hope it helps
The length of one side of a square is 3m^4. What is the area of the square? (A = I x w)
a. 3m^4
b. 6m^8
C. 9m^8
d. 6m^6
============================================================
Explanation:
Each side of the square is the same, so we have length = width in this case.
Length = 3m^4
Width = 3m^4
Area = (length)*(width) = (3m^4)*(3m^4) = (3*3)*(m^4*m^4) = 9m^8
Note how m^4*m^4 leads to m^8. We add the exponents.
The general rule is a^b*a^c = a^(b+c).
PLEASE HELP ASAP I have no idea how to solve this pls pls pls
Answer:
Step-by-step explanation:
you have to use trigonometric functions
cos 30 = adj. /hyp.
cos 30 = 12 / y
y = 12/cos 30 ≅13.86
tan 30 = opp./adj
tan30 = x / 12
x = 12 tan30 ≅6.93
Which statement is true
A. If a relationship is non - linear, it is not a function
B. A graph of a curve is linear
C. A graph that shows a constant rate of change is linear
D. A non - linear relationship has a constant slope.
Answer:
C is correct
Step-by-step explanation:
I just know this from having previously learned it, I'm not sure how to explain it but hope the answer helps!
Y is directly proportional to x write a formula in terms of x find the value of y when x is 0.6 find the value of x when y is 38.5
Answer:
a) [tex]x=\frac{y}{k}[/tex]
b) [tex]y=0.6k[/tex]
c) [tex]x=\frac{38.5}{k}[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]y=38.5[/tex]
[tex]x=0.6[/tex]
Generally the equation for the directly proportional variable is mathematically given by
[tex]y \alpha x[/tex]
[tex]y=kx[/tex]
Where
[tex]K=proportionality\ constant[/tex]
a)
The Formula in terms of x
[tex]x=\frac{y}{k}[/tex]
b)
[tex]y=k(0.6)[/tex]
[tex]y=0.6k[/tex]
c)
[tex]38.5=kx[/tex]
[tex]x=\frac{38.5}{k}[/tex]
Erin opened a savings account that earns 3% simple interest. If she deposts $2,750 and doesnt make any additional deposits or withdrawals how much money will be in her account at the end of 6 years?
Answer:
3245$ (im assuming the interest is yearly)
Step-by-step explanation:
using the is/of method
3% x
___ ___ cross mult and divide. = 82.5 interest x 6 years of it
100 2750
2750 + 495
Evaluate f(-2): SHOW ALL WORK
f(x) = x - 4
Answer:
-6
Step-by-step explanation:
substitute x=-2
f(-2)=(-2)-4=-6
Answer:
- 6
Step-by-step explanation:
f(x) = x - 4
f( - 2) = - 2 - 4 = - 6