While unwrapping his birthday present, Marcos was very careful to not tear any gift-wrap. When he was done, he laid the gift-wrapping paper flat like shown. Assuming there was no overlapping paper, what was the Total Surface Area of the box his present was in?

Answer:

Part A

1.5 seconds

Part B

By substitution and factorization because h = 0 at ground level

Step-by-step explanation:

Part A

The height from which the soccer player heads the ball, h = 6 feet

The initial velocity of the ball, v = 20 ft./s

The height of the ball in feet, h = -16·t² + 20·t + 6

From the given equation of the ball, we have;

At the initial height, t = 0, from the given equation, h = 6

At the  ground level,  the height, h = 0, therefore, we get;

0 = -16·t² + 20·t + 6

Factorizing using a graphing calculator gives;

0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)

∴ (2·t -3)·(4·t + 1) = 0

t = 1.5 or t = -1/4 = -0.25

Therefore;

The time it takes the ball to hit the ground, t = 1.5 seconds.

Part B

The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.

Answer:

Formula! Have a nice day!

Answer:

yo bro it formula

Step-by-step explanation:

can i get brainiest if im right

Answer:

?

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

(-81)(-1) = 81

Answer:

The time Lamar will catch up to Fran is 50.26 mins and they would have walked 2.5 km each.

Step-by-step explanation:

Given;

total distance walked by both Fran and Lamar, d = 5 km = 5,000 m

speed of Fran, = 45 m/min

speed of Lamar, = 50 m/min

Let the time Lamar catch up to Fran = t (mins)

At the time "t" Lamar would have walked a distance of 50(t),

At the time "t" Fran would have walked a distance of 45(t + 5)

The total distance they walked; d = 50t  +  45(t + 5)

5000 = 50t  +  45(t + 5)

5000 = 50t  + 45t + 225

5000 - 225 = 95t

4775 = 95t

t = 4775/95

t = 50.26 mins

The distance walked by Frans: = 45 (50.26 + 5)

                                                    = 2487 m

The distance walked by Lamar: = 50 (50.26)

                                                    = 2513 m

Answer:

I believe the answer is C

Answer:

(-2.5, 1) and (0.5, 5)

Step-by-step explanation:

The main idea is to divide the line into four segments.

so you find the midpoint between (-4, -1) and (2, 7), which is (-1, 3).

then you find the midpoint again between (-4, -1)  (-1, 3) and (2, 7) (-1, 3), which is (-2.5, 1) and (0.5, 5).

Answer:

Sale price= $26.25

Step-by-step explanation:

Giving the following information:

Selling price= $35

Discount rate= 25%

To calculate the sale price of the sweater, we need to use the following formula:

Sale price= selling price*(1 - discount rate)

Sale price= 35*(1 - 0.25)

Sale price= 35*0.75

Sale price= $26.25

Answer:

The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.

Step-by-step explanation:

hope it helped ( ◜‿◝ )♡

Answer:

x = 2

Step-by-step explanation:

2x−3-x+4=3

combine like terms:

x + 1 = 3

x = 2

The equation is true for the value of x = 2.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is as given below.

2x − 3 - x + 4 = 3

We have to operate the like terms together.

Here 2x and x are like terms and 3 and 4 are like terms.

(2x - x) - 3 + 4 = 3

x - 3 + 4 = 3

x + 1 = 3

Subtracting 1 on both sides,

x = 3 - 1

x = 2

Hence the equation is true for x = 2.

To learn more about Equations Solving, click on the link given below :

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12/13

sin = opposite / hypotenuse

Answer:N

Step-by-step explanation:

Answer: -0.903

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

From the 10 cards, only 2 cards have the letter Z.

2/10 = 1/5

Answer:

1/5

Step-by-step explanation:

it is 2/10 so 1/5 thats

the probability that someone picks a card with the letter z on it?

Answer:

it's going to be c

Step-by-step explanation:

set a is an exponential function and the values increase at a faster rate than set B

Answer:

A,B,C

Step-by-step explanation:

The +2 in the absolute values means that it's translated to the left

The +4 on the outside means that it's translated up

The 3 means that it's compressed

Answer: Number of hardback = 32

Number of paperback = 117

Step-by-step explanation:

Let the number of hardback books be represented by x.

Let the number of paperback books be represented by y.

Based on the information given, we can form an equation which will be:

x + y = 149 ......... i

3.50x + 0.75y = 199.75 ...... ii

Multiply equation i by 3.50

Multiply equation ii by 1

3.50x + 3.50y = 521.50 ...... iii

3.50x + 0.75y = 199.75 .....iv

Subtract equation iv from iii

2.75y = 321.75

y = 321.75 / 2.75

y = 117

Number of paperback = 117

Since x + y = 149

x = 149 - y

x = 149 - 117

x = 32

Number of hardback = 32

Answer: The difference is 21

Step-by-step explanation:

first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.

210-189=21

189+21=210

Answer:

27

Step-by-step explanation:

14 + 17 + 28 + 49 = 108

108 / 4 = 27

By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)

The standard equation of the parabola with an horizontal axis of symmetry is presented below:

[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex]     (1)

Where:

The coordinates of the focus is described by the following expression:

F(x, y) = (h + p, k)

If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:

F(x, y) = (5 - 2, - 1)

F(x, y) = (3, - 1)

By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)

To learn more on parabolas: https://brainly.com/question/21685473

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Step-by-step explanation:

As side of a square is a², so it will be

[tex]\tt{(\sqrt{2} - 3 \sqrt{5})^2}[/tex]

Refer to attachment, the answer is provided.

Hope it helps :)

Answer:

1/6

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

probability of choosing dimes twice = total number of dimes / total number of coins

At first pick = 4/9

because there is no replacement, dimes and total coins reduce by 1 and

second pick = 3/8

4/9 x 3/8 = 1/6

Answer: download photo math

Step-by-step explanation:

Answer:

[tex]6a - 2[/tex]

Step-by-step explanation:

[tex]a - 2 + 5a[/tex]

[tex]6a - 2[/tex]