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The time taken by the package to reach the ground will be 5.45 seconds.

The motion of an object is related to the forces acting on it by Newton's laws of motion. According to the first law, unless a force acts on an object, it will not alter its motion. According to the second law, an object's force is determined by multiplying its mass by its acceleration. According to the third law, when two objects interact, they exert equal-sized and opposite-direction forces upon one another.

Solution:-

vo=12m/s

h=80m=yo

Then,

[tex]y-yo= vot-1/2gt^2[/tex]

⇒[tex]0-80m=(12m/s)t - 1/2(9.8m/s^2)t^2[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex](4.9m/s^2)t^2-(12m/s)t-80m=0[/tex]

⇒[tex]t=5.45s, t=-3.00s[/tex]

∴[tex]t=5.45s[/tex]

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Answer:

The perimeters of ΔJKL and ΔPQR are equal

Step-by-step explanation:

Given

[tex]\triangle JKL[/tex] to [tex]\triangle PQR[/tex]

Reflection over a vertical line

Required

The perimeter of both triangles

When a shape is transformed to another through reflection, the side lengths and angle of both shapes will be the same.

Hence, the side lengths of ΔJKL and ΔPQR  are the same

This means that the perimeter of both shapes will be the same

Answer:

x=3

Step-by-step explanation:

Assuming both are congruent,

5x-8 = 2x+1

  +8         +8

5x=2x+9

-2x -2x

3x=9

x=3

The ratio of the green houses to the the total number of houses is 17:103

The quantitative relation between two amounts showing the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here, The number of green houses as 17 and total number of houses altogether 103

Therefore the required ratio is 17:103

Hence, The ratio of the green houses to the the total number of houses is 17:103

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Answer:lll

Step-by-step explanation:

Answer:

im not shere but i think its D on ege

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Functions.

Here, we are given with,

f(x) = 4x + 4 and g(x) = 5x - 8

hence, now we have time get (f-g) (x)

so we get as,

==> (f-g) (x) ==> f(x) - g(x)

===> 4x + 4 - (5x - 8)

==> 4x + 4 -5x +8

==> -x + 12

==> hence, 12 - x

so we get as,

(f-g) (x) ==> 12 - x

Teaching two step equations is a standard that needs to be taught in both 7th and 8th grade middle school PreAlgebra Math.

Two step equations are algebraic equations that can be solved in exactly two steps and gives the final answer of the variable in two steps. Generally two step equations are of the form ax + b = 0  where a and b are real numbers.

A two-step equation is an equation that requires two steps to solve. We must eliminate any constant that is on the same side as the variable first. To solve first use the inverse operations to isolate the variable by itself. We can do only one operation in single step.

Now

we solve two steps equation in grade 7th and 8th.It is very easy to understand.

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Answer:

Vector, in physics, a quantity that has both magnitude and direction. It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity's magnitude.

Step-by-step explanation:

Answer:

t10 = 59x - 30

Step-by-step explanation:

a = 5x + 6

d = 11x + 2 - 5x - 6

d = 6x - 4

n = 10

tn = a + (n - 1)*d

t10 = 5x + 6 + (10 - 1) ( 6x - 4)

t10 = 5x + 6 + 9(6x - 4)

t10 = 5x + 6 + 54x - 36

t10 = 59x - 30

Check by finding the 3rd term

d = 6x - 4

n = 3

a = 5x + 6

t3 = 5x + 6 + (3-1)*(6x - 4)

t3 = 5x + 6 + 2(6x - 4)

t3 = 5x + 6 + 12x - 8

t3 = 17x - 2 which is exactly what it should be.

The probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

What is the Central Limit Theorem?

The central limit theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

We can use the Central Limit Theorem to determine that the sampling distribution of the mean thickness of a random sample of size 17 from a population with a mean of 200 units and a standard deviation of 12 units will be approximately normal with a mean of 200 units and a standard deviation of (12 units)/√17 = 2.8 units.

Given that the mean thickness in these 17 measurements x is farther than 3 units away from the target value, we can use the standard normal table to find the probability.

Let's call X = mean thickness,

if X > 203, we have P(X>203) = P(Z> (203-200)/2.8) = P(Z>1.071) = 0.15

if X < 197, we have P(X<197) = P(Z< (197-200)/2.8) = P(Z<-1.071) = 0.15

Hence, the probability that the mean thickness in these 16 measurements x is farther than 3 units away from the target value is 0.15 + 0.15 = 0.30 which corresponds to the answer B) 0.32.

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Answer:

I believe that the answer is C

Step-by-step explanation:

The equation  y = x + 0.4x is the retail price y in dollars for an item with the original cost and a markup of 40% .

What is equation ?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

So, we choose the first equation.

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Answer:

D

Step-by-step explanation:

Answer:

9 ft

Step-by-step explanation:

assuming the 3 was a mistake T'T volume is l x w x h so if the base is l x w then 12 x 14 (168) is the base then divide the volume from the base (1512 / 168) the answer is 9 ft

Answer:

Link Is A Virus. Do Not Search! Have A Nice Day! Owa Owa! UwU

Step-by-step explanation:

Answer:

215

Step-by-step explanation:

you add all three together and then divide  by three to get the average.

Answer:

Step-by-step explanation:

  3 [tex]\frac{1}{6}[/tex]

+  1 [tex]\frac{5}{6}[/tex]

_______

4 [tex]\frac{6}{6}[/tex]   =  5 pounds

[tex]\frac{6 }{6}[/tex]  = 1  add this to the 4 and you have 5 pounds total

Answer:

  y +8 = -1/9(x -9)

Step-by-step explanation:

You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.

The equation of the line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...

  y +8 = -1/9(x -9)

The area of the circle is  1256.64 square inches.

All points on a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

One of the most fundamental curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its basis in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

The diameter of the cylindrical barrel is 20 in

So the diameter of the circular base is 20 in = 10 inches in radius.

Area of the circle = [tex]\pi\ r^{2}[/tex] =  π*20*20 = 1256.64 square inches.

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Answer:

D. none

Step-by-step explanation:

The figure shows two triangles. We see a right angle in each triangle. All right angles are congruent. One angle of one triangle is congruent to one angle of the other triangle. We are not given any other information about congruent sides or other congruent angles. Therefore, there is not enough information to prove the triangles are congruent.

Answer: none

Answer:

y = 3/4x + 5

Step-by-step explanation:

Slope intercept form is represented by the formula y = mx + b where m is the slope and b is the y-intercept. You were given the slope, but to write the equation, you also need the y-intercept.

First, plot the point they gave you (-8, -1) on a graph. Then use the rise over run of the slope (rise 3 and run 4) to find the next points until x = 0 (where the line crosses the y-axis). As you can see in the image, I plotted the points. 5 is the y-intercept because it is the y value on the line when x = 0.

So with the slope 3/4 and the y-intercept of 5, you can substitute the values and get your equation:

y = mx + b

y = (3/4)x + (5)

y = 3/4x + 5

Answer:

C = $30 + $0.05M

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

Answer:

Step-by-step explanation:

We know that renting the car will cost $30, regardless of whether you drive it any where or not

So far

C = $30

On the end of this equation, we want to be able to add another value, that can vary depending on the quantity of M (number of miles)

The second value is $0.05 multiplied by how many miles are travelled

Also expressed as $0.05M

Finally, just fix the two parts together

C = $30 + $0.05M

Answer:

Jane has 251

Step-by-step explanation:

Stickers Initially = 27 Jane bought stickers on 1st day = 3 Remaining days = 13 Each next day she bought 2 more stickers than the previous day, so: Stickers bought in the last 2 weeks (14 days) = n+(n+2)+(n+2+2)+(n+2+2+2)+.............+(n+2(13))here n =3 So:Stickers bought in the last 2 weeks (14 days) = 3+5+7+9+11+13+15+17+19+21+23+25+27+29Stickers bought in the last 2 weeks (14 days) = 224 At Present Jane has Total Stickers = Stickers Initially+ Stickers bought in the last 2 weeks (14 days)At Present Jane has Total Stickers = 27+224

Answer:

Not sure if this is right but 2.

Step-by-step explanation:

Subtract 37,746ft (at 60 second mark) by 9,872ft (at 30 second mark) and as it asks for per second, 37,746-9,874=27,872 27,872/30= 929.1

Answer: question number 2 is A dot plot shows data with small sets of numbers and a histogram shows data with large sets of numbers  

Step-by-step explanation:

Step-by-step explanation:

f(x) = 2 x 3x

2 x 3x

2 (-2) 3(-2)

-4-6=-10

Step-by-step explanation:

f(x)=2 x 3x

2 x 3x

2(-2) 3 (-2)

-4 - 6 = -10