At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch

Answer:

The sum of all four integers is 60.

Step-by-step explanation:

Let the integers be x, x + 2, x + 4, and x + 6.

x + x + 6 = 30

2x = 24

x = 12

So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60

Answer:

________________________

Answer:

∠GFM= 124°

Step-by-step explanation:

∠GFH= 180° -90° -(5x +9)° (∠ sum of △FGH)

∠GFH= 90° -5x° -9°

∠GFH= (81 -5x)°

∠GFM +∠GFH= 180° (adj. ∠s on a str. line)

25x -1 +81 -5x= 180

20x +80= 180 (simplify)

20x= 180 -80 (-80 on both sides)

20x= 100

x= 100 ÷20 (÷20 on both sides)

x= 5

∴∠GFM

= 25x -1

= 25(5) -1

= 124°

Answer:

SSS

Step-by-step explanation:

We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.

Got the question wrong cause the other answer here is the correct answer directly from Delta Math.

(-7, -3)

Enjoy and Happy Holidays!

Answer:

19

Step-by-step explanation:

x = 7, so we have:

7 + 7 = 14

14 + 5 = 19

Answer:

19

Step-by-step explanation:

you replace the x with a seven. so it will look like

7+7+5= 19

Responder:

59 años

Explicación paso a paso:

Asumir que:

Edad actual = x

Edad 27 años atrás = x - 27

Edad dentro de 5 años = x + 5

La mitad de la edad de hace 27 años = 1/2 (x - 27)

Cuarto de edad dentro de cinco años = 1/4 (x +5)

0,5 (x - 27) = 0,25 (x + 5)

0.5x - 13.5 = 0.25x + 1.25

0.5x - 0.25x = 1.25 + 13.5

0,25 veces = 14,75

Dividir por 0,25

0,25x / 0,25 = 14,75 / 0,25

x = 59

Por lo tanto, la edad de Anahí ahora es de 59 años.

La edad actual de Anahí es de 59 años.

Sabemos por la pregunta que la mitad de la edad que tenía Anahí hace 27 años equivale a la cuarta parte de la edad que tendrá dentro de 5 años.

Para escribir esto como una ecuación, sea y la edad actual;

1/2(s - 27) = 1/4(y + 5)

El MCM de 2 y 4 es 4 por lo tanto;

4/2(y - 27) = 4/4(y + 5)

2(s - 27) =(y + 5)

2y - 54 = y + 5

2y -y = 5 + 54

y = 59

La edad actual de Anahí es de 59 años.

Más información sobre ecuaciones: https://brainly.com/question/2263981

Answer:

9.18

Step-by-step explanation:

4.69

1.99

+2.50

9.18

Answer:

You might wanna double check some of these because i might've forgot to flip some of the < and > signs but I'm pretty sure its correct

1) y = x < -18 and y = x < 18

2) y  = -3 < x < 3

3) x = 1 < y < 6 (it just gets simplified)

4) x = -3 > y > -18

5) y = -2 > x  and y = x < 3.5

6) y = 8.5 > x > 5.5

7) y = -5.75 < x < -3.5

8) y = 1 > x > 2.25

9) -17 < x < -5

Step-by-step explanation:

Answer: C. (1 + 3i)(1 - 3i)

Step-by-step explanation:

Took the test on edgnuity

Answer:

The person ontop is correct! It is C.

Answer:

Step-by-step explanation:

Answer:

a = 12

Step-by-step explanation:

Given

2 = [tex]\frac{a}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

12 = a

Answer:

a = 12

Step-by-step explanation:

We can do the inverse of division which is multiplication. 6 x 2 equals 12 and if we substitute 12 for a (12 divided by 6) you get 2 hope that helpss!!!

Answer:

Length = [tex]57.5\ \text{inches}[/tex]

Width = [tex]18\ \text{inches}[/tex]

Step-by-step explanation:

The scale of the toy train is [tex]\dfrac{2}{9}[/tex]

So, the dimensions of the toy train is [tex]\dfrac{2}{9}[/tex] times the actual dimensions of the train.

The dimensions of actual train is [tex]\dfrac{1}{\frac{2}{9}}=\frac{9}{2}[/tex] times the toy train's dimensions.

Length

[tex]15\times \dfrac{9}{2}=57.5\ \text{inches}[/tex]

Width

[tex]4\times \dfrac{9}{2}=18\ \text{inches}[/tex]

The length of the railroad car on the long island railroad is 57.5 inches.

The width of the railroad car on the long island railroad is 18 inches.

Answer:  

La probabilidad de encontrar como mucho un huevo roto es 0,8857.

Step-by-step explanation:  

Podemos calcular la probabilidad de econtrar un huevo roto usando la ecuación de distribución binomial:

[tex] P (x) = \left(\begin{array}{c}n&x\end{array}\right)p^{x}(1 - p)^{n-x} [/tex]

En donde:

p: es la probablidad de encontrar huevos rotos = 10% = 0,1      

x: es el número de éxitos

n: es el número de ensayos = 6 (media docena de huevos)

Ahora, como nos piden la probabilidad de enontrar como mucho un huevo roto, esto quiere decir que debemos encontar la suma de la probablidad de encontar un huevo roto con la probabilidad de encontrar ninguno roto:

[tex] P = P(0) + P(1) [/tex]

[tex] P = \left(\begin{array}{c}6&0\end{array}\right)0,1^{0}(1 - 0,1)^{6-0} + \left(\begin{array}{c}6&1\end{array}\right)0,1^{1}(1 - 0,1)^{6-1} = 0,5314 + 0,3543 = 0,8857 [/tex]

Entonces, la probabilidad de encontrar como mucho un huevo roto es 0,8857.

Espero que te sea de utilidad!                                                                                                                                                                                            

Answer:

The y-intercept is 16, which represents the original depth of snow on the lawn

Step-by-step explanation:

t is the time in hours where the snow melted, so 16 was the original amount of snow on the ground before it melted over time.

The y-intercept is 16 inches. Then the y-intercept represents the height of the snow initially.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Eli noticed a lot of snow on his front lawn towards the conclusion of a snowstorm. As the weather rose, the snow began to melt at a steady pace. The depth of snow on Eli's lawn in inches may be calculated using the equation S = 16 - t, where t is the time after the snow ceased falling in hours.

Compare the equation with the standard equation, then we have

c = 16

The y-intercept represents the height of the snow initially.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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Answer:

Asher

Step-by-step explanation:

Answer:

Asher reads more books

Step-by-step explanation:

Asher reads 2 books a week wich is about 102 books a year (because there about 52 weeks in a year)

kyla reads 7 books a month wich is 84 books a years

Sawyer reads 90 books a year

Given :

Total amount, T = 10000 . ( It should not 1000 )

Annual rates of interest in both scheme is 8% and 9% .

After one year he got 875 rupees as interests from both.

To Find :

How much did he invest in each.

Solution :

Let, amount invested in 8% annual interest scheme is x.

So, amount in other scheme is 10000-x .

Now, sum of interest is equal to 875.

[tex]\dfrac{x\times r_1 \times 1}{100}+\dfrac{(10000-x)\times r_2\times 1}{100}=875\\\\8x + 9(10000-x)=87500\\\\x = 90000-87500\\\\x = 2500[/tex]

Therefore, amount invested in 8% and 9% annual interest scheme is 2500 and 7500 rupees respectively.

Hence, this is the required solution.

Answer:

(3,6)

Step-by-step explanation:

Answer:

The loose sweets

Step-by-step explanation:

100 divided by 0.89 = 112

120 divided by 1.49 = 80

Answer:

Step-by-step explanation:

1.49 ÷ 120 = 0.0124 GBP per gram

0.89 ÷ 100 = 0.0089 GBP per gram < 0.01 (The price of loose sweets is better value)

Answer:

A) sure there is one value of y for every value of x

B) in table y = 8

in function

y = 5(11) - 21 = 55-21 = 34

C) 99 = 5 x - 21

5 x = 120

x = 24

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer:

C

Step-by-step explanation:

C

Answer:

4 bottles

Step-by-step explanation:

Given

[tex]Fertilizer = \frac{1}{2}L[/tex]

[tex]Bottles = \frac{1}{8}L[/tex]

Required

Determine the number of bottles

Represent the number of bottles with N

This implies that N bottles of [tex]\frac{1}{8}L[/tex] fit into [tex]\frac{1}{2}L[/tex] of fertilizer. The relationship between them is:

[tex]Fertilizer = Bottles * N[/tex]

[tex]\frac{1}{2}L = \frac{1}{8}L* N[/tex]

[tex]\frac{1}{2} = \frac{1}{8}* N[/tex]

Multiply through by 8

[tex]8 * \frac{1}{2} = 8 * \frac{1}{8}* N[/tex]

[tex]4 = 1* N[/tex]

[tex]4 = N[/tex]

[tex]N = 4[/tex]

Hence, there are  N = 4

Answer:

area a=lxb

48=(x+10)x(x-3)

48=x2-3x+10x-30

0=x2+7x-30-48

0=x2+7x-78

hence it is proved

The requried, we have shown that x satisfies the equation x² + 7x - 78 = 0.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The area of the rectangle is given by the formula:

Area = length x width

Substituting the given expressions for length and width, we have:

Area = (x + 10)(x - 3)

We are also told that the area of the rectangle is 48 cm², so we can set up the equation:

(x + 10)(x - 3) = 48

Expanding the left side using the FOIL method:

x² - 3x + 10x - 30 = 48

Simplifying:

x² + 7x - 78 = 0

Therefore, we have shown that x satisfies the equation x² + 7x - 78 = 0.

Learn more about equations here:

brainly.com/question/10413253

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Answer:

Subtract 3.1 from 12.9

Hope it helped

Answer:

i cant like give you the answer off the top of my head but when i did this  the video helped me a lot

Step-by-step explanation:

its How to Graph the line y = x by Cowan Academy

Answer:

4/5

Step-by-step explanation:

1 - 2/10 = 8/10 = 4/5

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

You have [tex]\frac{2}{10}[/tex] ( divide numerator and denominator by 2 ), that is

[tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

Answer:

They are parallel

Step-by-step explanation:

They will have the same slope but never intersect

Answer:

4*[tex]\sqrt3[/tex]

Step-by-step explanation: