A firework is launched into the air from ground level with an initial velocity of 128 ft/s. If acceleration due to gravity is –16 ft/s2, what is the maximum height reached by the firework?

Answer:

10÷5 = 2, 2+2 =4, answer is 4

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]

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

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)

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.

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.

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

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 ✓

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]

Answer:

How do you expect me to do all of that lol

Step-by-step explanation:

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 (●'◡'●)

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.

Answer:

A

Step-by-step explanation:

plz give brainliest

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

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:

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.

Answer:

KJ = 6

Step-by-step explanation:

KJ = 1/2 * EG

=1/2 * 12

=6

Answer:

There is no table below, so how to figure it out? Huh???

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

1)  (-2, 0)

2) (2 , 0)

3) (0, -4)

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).

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

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$/total hr(8.166)=11.021$

Answer:

Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.

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

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

Answer:

8

Step-by-step explanation:

10sin(53) = 7.986... = 8.0

Answer:

5 choose 4

[tex]=\frac{5!}{4!\left(5-4\right)!}[/tex] = 5

Step-by-step explanation: