Answer:
The rocket will hit the floor at 9.57 seconds
Step-by-step explanation:
Given
[tex]G(x) = -16x^2 + 150x + 30[/tex]
Take off height = 30ft
Initial velocity= 150ft/s
Required [Missing from the question]
Time to hit the ground
The rocket will hit the ground at:
[tex]G(x) = 0[/tex]
So, we have:
[tex]0 = -16x^2 + 150x + 30[/tex]
Rewrite as:
[tex]16x^2 - 150x - 30=0[/tex]
Solve using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a= 16\\ b = -150\\ c = -30[/tex]
So, we have:
[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]
[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]
[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]
[tex]x = \frac{150 \± 156.27}{32}[/tex]
Split:
[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]
[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]
Time cannot be negative;
So:
[tex]x = \frac{306.27}{32}[/tex]
[tex]x = 9.57[/tex]
Hence, the rocket will hit the floor at 9.57 seconds
Find C(.07)
C(.07)=30x+5
Multiply and simplify.
3/7 x 5/9
Answer:
[tex]\frac{5}{21}[/tex]
Step-by-step explanation:
1) [tex]\frac{3}{7} *\frac{5}{9}[/tex]
Reduce the numbers with the greatest common factor : 3
2) [tex]\frac{1}{7} *\frac{5}{3}[/tex]
Multiply the fractions.
3) [tex]\frac{5}{21}[/tex]
The radius of a circle is 1 inch. What is the circle's area? r=1 in Use 3.14 for .
Answer:
3.14
Step-by-step explanation:
area=pi times the square of radius
1^2 = 1 x 3.14=3.14
which of the following is true about the expression /3x/2?
Answer:
Option Bit represents the product of two irrational numbers and is equivalent to an irrational number.
Hope it helped :)
The coach of a baseball team counts
240 males and n females in the
bleachers. She determines that 80%
of the male and female spectators
are fans of the home team. The coach
writes an expression 0.80n + 192 to
represent the number of home team
fans. Is the coach correct? PLEASE HELPPP!
Answer:
No
Step-by-step explanation:
He is An Idiot
How long is Mr. Toad?
A 10 cm SECTION OF A METERIC RULER
HELP PLEASEEEEE!!!!!
hyfhsudeh it heieheueheiheeiheehheehe 70m
PLSSS HELP ASAP WILL GIVE BRAINLEAST!!!!!!!!!!!!
#2 8.EE.1.2 Check all the pairs of number that satisfy the square root or the cube root [radicand, result] *
a.[8, 4]
b.[64, 8]
c.[1000, 100]
d.[100, 10]
e.[64, 4]
f.[1000, 10]
Answer:
Hello! Your answer would be, F)[1000, 10] AND C)[1000, 100]
Step-by-step explanation:
Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia
During a sale, a dress is marked down from a selling price of $90 to a sale price of $72. What is the percent markdown?
Answer:
20 %
Step-by-step explanation:
please help! will give brainliest! review the graph of function f(x) for which values of c does lim f(x) not exist?
(graph and answer choices pictured)
Answer:
-2
Step-by-step explanation:
Find the fourth-degree polynomial function with zeros 4, -4, 4i , and -4i . Write the function in factored form.
Given:
A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .
To find:
The fourth-degree polynomial function in factored form.
Solution:
The factor for of nth degree polynomial is:
[tex]P(x)=(x-a_1)(x-a_2)...(x-a_n)[/tex]
Where, [tex]a_1,a_2,...,a_n[/tex] are n zeros of the polynomial.
It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:
[tex]P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))[/tex]
[tex]P(x)=(x-4)(x+4)(x-4i)(x+4i)[/tex]
[tex]P(x)=(x-4)(x+4)(x^2-(4i)^2)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
On further simplification, we get
[tex]P(x)=(x-4)(x+4)(x^2-4^2i^2)[/tex]
[tex]P(x)=(x-4)(x+4)(x^2+16)[/tex] [tex][\because i^2=-1][/tex]
Therefore, the required fourth degree polynomial is [tex]P(x)=(x-4)(x+4)(x^2+16)[/tex].
The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, -4, 4i , and -4i. Hence:
x = 4; x = -4; x = 4i; x = -4i
x - 4 = 0; x + 4 = 0; x - 4i = 0; x + 4i = 0
f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
Find out more on polynomial at: https://brainly.com/question/2833285
Juana depositou em sua conta bancária as importancias de R$500.00 e R$350,00 e R$450.00 o SALDO DE SUA CNTA CORRENTE REPRESENTDADO COM NUMEROS INTEIROS É DE QUANTO?
Responder:
R $ 1300
Explicação passo a passo:
Dado que :
Quantia depositada:
Primeiro depósito = $ 500
Segundo depósito = $ 350
Terceiro depósito = $ 450
O valor total depositado é a soma de todos os três depósitos feitos e constitui o saldo atual da conta.
Primeiro depósito + segundo depósito + terceiro depósito
$ (500 + 350 + 450)
= $ 1300
The area of the triangle below is 2/5 square foot. What is the length in feet of the base of the triangle?
Answer:
C) 2/3
Step-by-step explanation:
How do you solve this?
Answer: A. 85.5 square feet
Step-by-step explanation: Hope this help :D
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
A = side x side
Multiply both sides to find the area.
20/3x39/8=780/24=
32.5ft^2
Answer:
116 and 2/3 feet
Step-by-step explanation:
6 2/3+6 2/3= 12 4/3 or 13 1/3feet
4 7/8+ 4 7/8= 8 14/8 or 8 3/4
8 9/12x13 4/12= 116 and 2/3feet
What are the dimensions of the vertical cross section that is parallel to the right and left faces of the right rectangular prism?
Answer:
A rectangle has a length of 7 inches and a height of 2 inches
Step-by-step explanation:
The height of the vertical cross section is the same as the height of the prism, that is, 2 inches.
The length of the vertical cross section is the same as the width of the prism, that is, 7 inches.
LENGHT OF ORBIT AND DISTANCE FROM SUN
orbit =365.256days
distance=149.60km
can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/
Answer:
Right: Y=52
Left: X=19
Step-by-step explanation:
Part A: What is the length of NK? Show your work
Answer:
the length of NK in the diagram above = 5.9
Answer:
Step-by-step explanation:
[tex]10 \times 10 + 8 - 6 + 5 = [/tex]
[tex]6 - 5 \div 6 + 9 = [/tex]
[tex]4 + 4 - 4 + 4 + 5 = [/tex]
Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10
Answer:
[tex]A_{n} =3(3)^n^-^1[/tex]
[tex]A_{10} = 59,049[/tex]
Micheal is planning a graduation party at a restaurant the function hall cost $180 to rent and dinner costs $884. Write and solve an inequality to see how many friends Michael can invite.
PLS help me Pls
Answer:
no
Step-by-step explanation:
kirans aunt is 15 years older than kiran. how old will kirans aunt be when kiran is 13? how old will kiran be when his aunt is 60 years old?
Answer:
When Kiran is 13, his aunt will be 28.
When Kiran's aunt is 60, he will be 45.
Step-by-step explanation:
Hope this helps!
Answer:
a) 28 (kiran's aunt when kiran is 13)
b) 45 (kiran when kiran's aunt is 60)
Step-by-step explanation:
first
let kiran's age be k
kiran's aunt= 15 + k
when kiran is 13, kiran's aunt is 15+13
15+13= 28
when kiran's aunt is 60;
15+k = kiran's age
60 = 15+ k
k = 60-15
k = 45
Write the equation of the line that passes through the points (4,1) and (-6,9). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
Find the slope:
[tex]m = \frac{y2-y1}{x2-x1} = \frac{9 - 1}{-6 - 4} = -\frac{8}{10} = -\frac{4}{5}[/tex]Use point-slope form and one of the points:
y - y₁ = m(x - x₁)[tex]y - 1 = -\frac{4}{5}(x - 4)[/tex]The length of a rectangle is 9 centimeters more than half
the width. Find the length if the perimeter is 60 centimeters.
Answer:
l = 16 cm
Step-by-step explanation:
Let's set the width of the rectangle as "w" and the length of the rectangle as "w/2 + 9".
The perimeter of a rectangle is calculated by adding up the value of all of its side lengths. Therefore, we can find the perimeter using 2l + 2w = P.
We can substitute 60 for P and w/2 + 9 for l.
2(w/2 + 9) + 2w = 602w/2 + 18 + 2w = 60 w + 18 + 2w = 603w + 18 = 603w = 42w = 14Substitute w = 14 into the equation for length l.
l = w/2 + 9 l = 14/2 + 9 l = 16The length of the rectangle is 16 cm.
what is the slope of the line?
Answer: -3/2
Step-by-step explanation:
rise / run . the line is decreasing vertically by 3 and increasing horizontally by 2.
pls help!!?!?!?!?!?!!?!?!?
Answer:
The first step is to subtract 4 to both sides. Next we must multiply both sides by 2. The answer is - 20
How am I supposed to do this?
The two-sided limit exists as long as the limits from either side also exist and are equal. So to compute the limit, you have to compute the one-sided limits,
[tex]\displaystyle\lim_{x\to0^-}f(x)[/tex]
[tex]\displaystyle\lim_{x\to0^+}f(x)[/tex]
f(x) has a different definition and thus different behavior as x approaches 0 depending on which direction x is approaching 0:
• When x approaches 0 from the left (or from below), you use the definition of f for x < 0, so
[tex]\displaystyle\lim_{x\to0^-}f(x) = \lim_{x\to0}(-x-2) = -2[/tex]
• When x approaches 0 from the right (or above), you use the other definition, so
[tex]\displaystyle\lim_{x\to0^+}f(x) = \lim_{x\to0} \left(\frac x2-2\right) = -2[/tex]
The limits from either side match, so the two-sided limit exists and is also -2.
The ending time is 8:22 P.M. and the elapsed time is 2 1/4 hours what’s the starting time?
Answer:
6:07
Step-by-step explanation:
8:22 minus 2 hours is 6:22, 1/4 an hour is 15 minutes so 22 minus 15 is 7, leading to the answer of 6:07 being your start time.
Show how oliver can convert 1 red brick into 3 red bricks
Answer:
Cut it into three smaller bricks?
Step-by-step explanation:
Answer:
bam skadoosh slice and dice em
Step-by-step explanation:
helppppppppppppppppppp
Answer:
vertical opposite angles are always equal
= 143°
co-interior angles are supplementary ( 180° )
∴ x = 180 - 143 = 37
∴ x = 37°
hope this answer helps you.....
please mark as brainliest.. thank you!