Answer:
h = 256 feet
Step-by-step explanation:
Given that,
The initial velocity of firework, v = 128 ft/s
The acceleration due to gravity is-16 ft/s².
We need to find the maximum height reached by the firework.
The equation for the firework is :
[tex]h(t) = -16t^2 + 128t[/tex]
To find the vertex's x-coordinate, we can use
[tex]t=\dfrac{-b}{2a}\\\\t=\dfrac{-128}{2\times (-16)}\\\\t=4\ s[/tex]
Put all the values in the expression for h (t).
[tex]h(t) = -16(4)^2 + 128(4)\\\\h(t)=256\ ft[/tex]
So, the maximum height reached by the firework is 256 feet.
Find the inverse function f−1(x) for the function f(x) = 3x − 2. (2 points)
Answer:
X+2/3
Step-by-step explanation:
YOU TAKE THE PROBLEM AND FLIP IT AND YOU GET X+2/3
Answer:
f⁻¹(x) = [tex]\frac{x+2}{3}[/tex]
Step-by-step explanation:
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
first answer gets marked brainliest!!!
Answer:
A
Step-by-step explanation:
plz give brainliest
Using the Slope-Intercept form, find the equation of a line that has a slope of 3 and y - intercept (2)
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 3 and c = 2 , then
y = 3x + 2 ← equation of line
Three fourths of the offspring of two fruit flies have short wings, while the rest have wild-type wings . In a batch of offspring from those two flies, 100 have wild-type wings. How many of the flies have short wings?
Answer:
300
Step-by-step explanation:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. This means that the number of offspring that have short wings must be [tex]\frac{3/4}{1/4}=\frac{3}{4}\cdot \frac{4}{1}=3[/tex] times larger than the number of offspring that have wild-type wings. Since there are 100 offspring who have wild-type wings, there must be [tex]100\cdot 3=\boxed{300}[/tex] that have short wings.
Alternative:
If three-fourths of the offspring of two fruit flies have short wings and the rest have wild-type wings, then [tex]1-\frac{3}{4}=\frac{1}{4}[/tex] of the offspring must have wild-type wings. Therefore, 100 represents one-fourth of the total number of offspring, meaning there must be [tex]100\cdot 4=400[/tex] offspring total. Thus, there are [tex]400-100=\boxed{300}[/tex] offspring with short wings.
Help Please Math!!!
Find The Surface Area Of The Prism
Answer:
Surface Area=208 cm²
Step-by-step explanation:
Surface Area= 2×l×w+2×l×h+2×h×w
SA= 2×11×4+2×4×4+2×11×4=208
X – 10x = 100
Use a trial and improvement method to find this solution.
Give your answer correct to 1 decimal place.
You must show all your working.
On the same line as your final answer you must write "to 1 decimal place".
Answer:
-11.01 or -11
Step-by-step explanation:
x-10x=100
1x-10x=100
-9x = 100
-9x/-9 =100/-9
x = -11.01
No calculator used
Find UT given the base?
Answer:
19
Step-by-step explanation:
[tex] In \:\triangle HGI[/tex]
HU = UG & HT = TI (Given)
Therefore, U and T are the midpoints of sides HG and HI respectively.
So, by mid point formula:
[tex] UT = \frac{1}{2} GI \\ \\ UT = \frac{1}{2} \times 38 \\ \\ UT = 19 [/tex]
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) (-2, 0)
2) (2 , 0)
3) (0, -4)
[tex]\boxed{\text{Solve for 'x'.}}\\\\\frac{x+3}{6}=\frac{2}{3}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = 1[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the answer...}}\\\\\frac{x+3}{6}=\frac{2}{3}\\\----------\\\rightarrow (\frac{x+3}{6})6=(\frac{2}{3})6\\\\\rightarrow x + 3 = 4\\\\\rightarrow x + 3 - 3 = 4 - 3\\\\\rightarrow \boxed{x=1}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 1
Step-by-step explanation:
( x + 3 ) / 6 = 2 / 3
Step 1 Cross multiply
( x + 3 ) * 3 = 3x + 9
2 * 6 = 12
We now have 3x + 9 = 12
Step 2 Subtract 9 from both sides
3x + 9 - 9 = 12 - 9
9 - 9 cancels out
12 - 9 = 3
We now have 3x = 3
Final step; divide both sides by 3
3x/3 = x
3/3 = 1
We're left with x = 1
To check our answer we can plug in 1 for x in the expression
( x + 3 ) / 6 = 2 / 3
Substitute 1 for x
1 + 3 / 6 = 2 / 3
Simplify addition
4/6 = 2/3
Simplify fraction
2/3 = 2/3 ✓
Help anyone can help me do this question,I will mark brainlest.
Answer:
34 pi
Step-by-step explanation:
Use formula for circumference, 2 pi r
Find the circumference for both circles because both circles circumference are included in the shaded region
2x^2-3x+2=x√(3x^2-2)
Reflect shape A in the line y = 3
Answer:
Step-by-step explanation:
just draw the triangle but flipped over the red line
sorry for the bad drawing
The vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).
What is the reflection on x-axis?When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
In the given graph, vertices of triangle A are (1, 1), (4, 1) and (4, 3).
After reflection on line y=3, we get
Vertices as (1, 5), (4, 5) and (4, 3)
Therefore, the vertices of triangle A' after reflection on line y=3 are (1, 5), (4, 5) and (4, 3).
To learn more about the reflection over x-axis visit:
https://brainly.com/question/15175017.
#SPJ2
Please help..If you know the correct answer
Answer:
AC is the longest side
AB is the shortest side
Step-by-step explanation:
We can find the third angle
A+B+C = 180
55+80+C = 180
135+C = 180
C = 180-135
C =45
The longest side is opposite the largest angle
B is the largest angle so AC is the longest side
C is the the smallest angle so AB is the shortest side
simplify the expression and choose the best choice
Answer:
D
Step-by-step explanation:
[tex]\sqrt{3^{15} }[/tex]
[tex]\sqrt{3*3*3*3*3*3*3*3*3*3*3*3*3*3*3}[/tex]
[tex]\sqrt{3^{14} * 3}[/tex]
[tex]\sqrt{((3^7)^2)*3}[/tex]
[tex]3^{7}[/tex][tex]\sqrt{3}[/tex]
Lucy rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 10.
Answer:
10÷5 = 2, 2+2 =4, answer is 4
If I worked 8 hours and 49 minutes but my paycheck was only 97.17$ what was my hourly wage.
Answer:
11.021$
Step-by-step explanation:
49min to hr=49/60=0.816
now total worked hrs =8hr +0.816hr=8.166hr
now 1hr wage =97.17$/total hr(8.166)=11.021$
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Ajmal has filled 5 boxes with marbles. He claims that at least 60% of the marbles in each box are red marbles. The table below shows the number of red marbles and the total number of marbles in all boxes.
Answer:
There is no table below, so how to figure it out? Huh???
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest tenth.
53 and 10
Answer:
8
Step-by-step explanation:
10sin(53) = 7.986... = 8.0
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Please hurry I will mark you the brainliest
Answer:
1 9/16 metres
Step-by-step explanation:
h = 25 ( 1/2)^n where n is the number of bounces
let n = 4 bounces
h = 25 ( 1/2)^4
h = 25 ( 1/16)
h = 25/16
h = 1 9/16 metres
Now we have to,
find the height of the ball after 4 bounces.
→ h = 25 (1/2)^n
→ n is the number of bounces
Then keep n as 4 bounces,
→ 25 (1/2)^n
→ 25 (1/2)^4
→ 25 (1/16)
→ 25/16 m {or} 1 9/16 m
Thus, height of the ball is 25/16 m.
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
Answer:
1: (D)
2: (A)
3: (D)
4: (B)
5: (A)
Step-by-step explanation:
Question 1:
The local minimum is the lowest point in an area/interval of the function. That means the y-value will be the lowest, so it's either (-2, -15) or (2, -15). However, only (2, -15) is listed as an answer choice, so that's your answer.
Question 2:
The graph starts at the x-value of 0 and continues forever as x increases positively. The answer is x >= 0.
Question 3:
The first term of the sequence if -1.5, so replace n with 1:
f(1 + 1) = -2f(1)
Then replace f(1) with -1.5:
f(2) = -2 * -1.5
f(2) = 3
The next term of the sequence is 3.
Question 4:
On the graph, there are two different outputs (y-values of 3 & -2) for one input (x-value of 1). You can either remove (1, 3) or (1, -2), but since only (1, 3) is listed as an answer choice, that's your answer.
Question 5:
The formula represents the conversion from Fahrenheit to Celsius, so C(76.1) would be the temperature of 76.1 degrees Fahrenheit being converted to degrees Celsius since Kareem stated in the question that 76.1 was degrees Fahrenheit.
Hope this helps (●'◡'●)
Find KJ given gene base?
Answer:
KJ = 6
Step-by-step explanation:
KJ = 1/2 * EG
=1/2 * 12
=6
There were 5 seats on the bus. In how many ways could the seats be occupied if there were four children?
Answer:
5 choose 4
[tex]=\frac{5!}{4!\left(5-4\right)!}[/tex] = 5
Step-by-step explanation:
The Raptors are scheduled to play 85 games this season.
a. Create a table of values that will show some of the possible amounts Stretch might eam
throughout the first season. Number of games played is represented by n and money
earned by E.
b. Graph the information to show his earnings for the season. Use a suitable scale. Change
the money values in your table to millions of dollars before starting.
C. D) Write an equation relating Stretch's earnings to the number of games he plays.
ii) Define your variables, including units.
II) Explain what the numbers in your equation represent for Stretch.
d. How much money will Stretch make if he plays 44 games this season? Show your work.
e. Stretch's twin brother, Rory, has been offered a different contract. The following equation
defines the offer. E = 95 000n + 450 000
E represents Rory's total earnings in dollars and n represents the number of games Rory
plays. Is this a better offer than Stretch's? Give reasons for your answer by comparing the
two offers, reporting mathematical details about the comparison.
Answer:
How do you expect me to do all of that lol
Step-by-step explanation:
A researcher asked 36 tourists which Caribbean island was their favourite The results showed that 9 tourists said Tobago. The researcher wants to draw a pie chart to show this information What should the angle for the Tobago segment measure?
A. 9 degree
B. 14 degree
C.25 degree
D. 90 degree
Where should you place the needle of your compass in the first step of an angle bisection?
Answer:
Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.
An expression is shown below:
4m3 + 12xm2 − 8m2 − 24xm
Rewrite the expression by factoring out the greatest common factor. (5 points)
Answer:
Step-by-step explanation:
4m³ + 12xm² - 8m² - 24xm = (4m³ - 8m²) + (12xm² - 24xm) {Group terms}
=4m²(m - 2) + 12xm(m - 2) {Factor terms}
= (m - 2)(4m² + 12xm)
=(m -2) 4m(m + 3x).
Answer:
4m(m+3x)(m-2)
Step-by-step explanation:
4m^3 + 12xm^2 - 8m^2 - 24xm
= 4m(m^2 + 3xm - 2m - 6x)
= 4m(m(m+3x) - 2(m+3x))
= 4m(m+3x)(m-2)
Z -7, when z=6 PLS HELP MY I AM NOT SURE IF I DID IT RIGHT I HAVE TO TURN THIS IN TOMORROW
Answer:
Z-7
6-7
-1
Step-by-step explanation:
we have to replace the value of Z and then subtract by seven.
[tex]\sf \: z = 6 \\ \\\sf z - 7 \\ \sf = (6) - 7 \\ \sf = 6 - 7 \\ = \underline{\bf - 1}[/tex]
-> Just substitute the value of z in the equation & you'll get the required solution.