given the figure below, what is the value of x?

Answer:

A

Step-by-step explanation:

simplify equation A

then you will get same as the expression above

Answer:

t = 14 seconds

Step-by-step explanation:

Given that,

A package is accidentally dropped from a helicopter from a height of 3,136ft.

The equation for height as a function of time is :

[tex]h(t) = -16t^2 + \text{initial height}[/tex]

So,

[tex]h(t) = -16t^2 +3,136[/tex]

When it hits the ground, h(t) = 0

So,

[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]

So, it will take 14 seconds for the package to hit the ground.

Answer:

58

Step-by-step explanation:

Answer:

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

Step-by-step explanation:

For each coil, there are only two possible outcomes. Either it is good, or it is not. Since the coil taken is replaced, the probability of choosing a good coil on a trial is independent of any other trial, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

88 out of 100 are good:

This means that [tex]\pi = \frac{88}{100} = 0.88[/tex]

Find the probability of getting two good coils when two coils are randomly selected.

This is P(X = 2) when n = 2. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{2,2}.(0.88)^{2}.(0.12)^{0} = 0.7744[/tex]

0.7744 = 77.44% probability of getting two good coils when two coils are randomly selected

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

Answer:

no it is not perpedicular

Step-by-step explanation:

I plugged the equation into a graphing calculator and the line does not appear to be perpendicular

Answer:

3y = 5x+4

3y=9x

yx=9/3

yx=3

Answer:

6.66 % per year.

Step-by-step explanation:

Hope it help you

Answer:

66 percent per year

Step-by-step explanation:

I hope this will help you

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Respuesta:

13 °

Explicación paso a paso:

La temperatura de esta noche = - 12

La temperatura prevista para mañana = 25 ° más cálida que la temperatura de esta noche

La temperatura prevista para mañana será;

La temperatura de esta noche + 25 °

Temperatura prevista para mañana = (-12 ° + 25 °)

Temperatura prevista para mañana = 13 °

Answer:

Jeff is moving faster.

Step-by-step explanation:

To compare two speeds, first we make them in one unit.

We know that,

1 km/h = 0.2777 m/s

7 km/h = 1.94 m/s

Jeff can run at a speed of 7 km/h i.e. 1.94 m/s while Cameron can run with a speed of 10 m/min or 0.167 m/s.

On comparing 1.94 m/s and 0.167 m/s, we found that Jeff is moving with more speed.

So, Jeff is faster.

Answer:

0.21

Step-by-step explanation:

The given expression is :

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}[/tex]

We need to solve it.

We know that,

[tex]\sqrt{0.09}=0.3\ and\ \sqrt{0.05}=0.223[/tex]

So,

[tex]0.5\times \sqrt{0.09}-2\sqrt{0.05}+\sqrt \frac{1}{4}=0.5\times 0.3-2\times 0.22+0.5\\\\=0.21[/tex]

or

[tex]=\dfrac{21}{100}[/tex]

So, the value of the given expression is equal to 0.21.

Answer:

I think its 56 = 56

Step-by-step explanation:

Answer:

8 and 48

Step-by-step explanation:

This can be written as a system of equations. X will be the smaller number and y will be the larger:

6x = y

x + y = 56

Then substitute y in the second equation for 6x(seen in first equation) and solve.

x + 6x = 56

7x = 56

x = 8

So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).

6x = y

6 * 8 = y

48 = y

Then double check by seeing if they fit the requirements of the problem.

Hope this helps!

Answer:

x=12

Step-by-step explanation:

Line that's perpendicular to y=49 should be a vertical line of the form x=a

Now the line passes through (12,35) so the equation of the line is,

x=12

Answered by GAUTHMATH

Step-by-step explanation:

hope it helps

Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

→

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

The function F(x) would be F(x) = 0.2x² - 3.

A mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

We are given a graph of the function G(x) as:

G(x) = x²

We are required to determine a potential representation of the function F (x).

We are aware that the function F(x) graph is a horizontal extension of the function G(x).

This indicates that "k" is the factor that is multiplied by G(x).

where 0< k <1.

The graph is also 3 units vertically down, which causes the graph.

So, the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:

F(x) = 0.2x² - 3

Learn more about Function here:

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Answer: 99

Step-by-step explanation:

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

Answer:

6.25 gallons

Step-by-step explanation:

If 125 gallon tank in equivalent to 5ft

1 foot is equal to 12inches...

5 ft ×12 =60 inches

So 125 gallon tank= 60 inches

If 60 inches = 125 gallon

3 inches = 125 × 3 / 60

= 375/60

= 6.25 gallons

Answer:

C) or 1.25

Step-by-step explanation:

all you have to do is divide (thats how you undo multiplication)  150 and 120 (150/120) leading you to get 1.25.

HOPE THAT HELPED :D

Answer:

2x-4+14=26    add -4+14 this will give you +10

2x+10=26       subtract 10 on both side this will give you 16

2x=16        divide by 2 on both side this will give you 8

x=8

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Points (-3,-4) and (6,2) give you slope of (-4-2)/(-3-6)=-6/-9=2/3

Y=2/3x+k. Substitute first point, you get -4=2/3(-3)+k. -4=-2+k, so k=-2. When y=0, x value is the x intercept. 0=2/3x-2, 2/3x=2, so x=3.

Answer:

The random variable is discrete. :)

Step-by-step explanation:

Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69

We can express this as 3x + 33 = 69

Then we can subtract 33 from both sides to get 3x = 36

Then we divide both sides by 3 to get x = 12

Then we can substitute the value of x back to find the number of goals each player scored:

Jagan: x = 12

Shaun: x + 9 = 12 + 9 = 21

Baharat: x + 15 = 12 + 15 = 27

So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.

Learn more about linear equation

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Answer:

130

Step-by-step explanation:

Answer: 28.

Step-by-step explanation: Because if you times 7 and 4 you get 28.

Answer:

0.5miles

Step-by-step explanation:

800meters is 0.497097miles

Round 0.497097miles to the nearest hundredth which would be 0.5 miles.

There are 6 numbers on the dice, rolling a 3 would be 1/6

Multiply total rolls by probability of getting a 3:

132 x 1/6 = 132/6 = 22

The answer: 22 times.

Answer;

x² = 42 - 2

3

Step-by-step explanation:

#carryonlearning

Answer:

Step-by-step explanation:

y² - 3x² = 6

Subtract y² from both sides

-3x² = 6 - y²

Divide by -3

[tex]\frac{-3x^{2}}{-3}=\frac{6-y^{2}}{-3}\\\\x^{2}=\frac{y^{2}-6}{3}[/tex]