A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meters per second. The height h in meters of the ball is given by \large h=-4.9t^2+5t+2 , where t is the time elapsed in seconds. How long will it take the ball to hit the ground if no other players touch it?

Answer:

The solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

Step-by-step explanation:

We need to the graph the solution of [tex]\frac{1}{4}x \leq 2[/tex]

First we will solve to find value of x

[tex]\frac{1}{4}x \leq 2[/tex]

Multiply both sides by 4

[tex]\frac{1}{4}x\times 4 \leq 2\times 4 \\x\leq 8[/tex]

So, the solution of [tex]\frac{1}{4}x \leq 2[/tex] is [tex]\mathbf{x\leq 8}[/tex]

Graph of the solution is attached in the figure below.

The graph contains both number line and on graph paper also.

Answer:

Easy its 64

Step-by-step explanation:

Next time put the eqation in a calculator it will give you the answer trust me

Answer:

A. (1,4)

Step-by-step explanation:

Answer:

329 divided by 17 is 19.3529411765 so round it 19.3529 turns in to 19.353

so take that and mutiply it by 17 then you will get 329

Step-by-step explanation:

Answer:

[tex]16^{2} (272)[/tex] is divisible by 17

Proof:

In order to solve this question we will have to factor  [tex]16^{5} + 16^{4}[/tex]. We will have to do that as follows.

[tex]16^{5} + 16^{4} = 16^{3} (16^{2} + 16) = 16^{2} (272)[/tex]

From here we know the the resulting number will be equal to [tex]16^{2} (272)[/tex] now we will need to know the following property. If "b" is divisible by "c" then "ab" (where a is any integer) will also be divisible by c. In our case one of the factors is 272, and it is divisible by 17, so that means that [tex]16^{2} (272)[/tex] will also be divisible by 17.

Step-by-step explanation:

A method for this would be the tree diagram

20

/. \

10 x 2 ( u circle 2,times with 1 will times into itself)

/ \. (nothing goes into 2)

5x2 (same goes for 5 and the rest)

5x2x2= 20

3. (cant times into itself)

so 2x5x3 = 30

LCM = 30

Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

Answer:

m = 2/3

Step-by-step explanation:

slope is equal to rise/run

rise = y2 - y1 = 7 - 1 = 6

run = x2 - x1 = 3 - (-6) = 9

simplify 6/9 = 2/3

Answer:

2.5

Step-by-step explanation:

The slope of the line is; [tex]\frac{rise}{run}[/tex] and can be found using the formula;

[tex]\frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Given the points;

( 6, 3 ) and ( 4, -2)

Substitute the points in and solve;

[tex]\frac{(-2) - (3)}{(4) - (6)}[/tex]

[tex]\frac{-5}{-2}\\\\\frac{5}{2}\\\\= 2.5[/tex]

Answer:

Attached is the graph. The x-intercept is -6, and the y-intercept is -6.

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts?  Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

Answer:

x = 16

Step-by-step explanation:

71 - 15 = 56

56 ÷ 14 = 4

[tex]\sqrt{16}[/tex] = 4

Check work:

[tex]\sqrt{16}[/tex] = 4

14 x 4 = 56

56 + 15 = 71

Answer:

-84-12i

Step-by-step explanation:

The one you have is the answer :)

Answer:

......................................................................

Let, the length of the other diagonal be X

According to the Question:

We know that:

▶ Area of rhombus = ½ × d1 × d2

⇒ 16 = ½ × 4 × d2

⇒ d2 = 32/4

⇒ 8 cm

Hope it helps u!! ✿

Answer:

4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

6g - 11=(6 x -5) - 11

=-30 - 11

=-41

Answer: a. 46 cm

Step-by-step explanation:

(7 + 14) × 2 + 2× 2 = 46 (cm)

The perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Given:

Smaller rectangle

length = 5 cm

width = 2 cm

perimeter of smaller rectangle = 2(length + width)

= 2(5 + 2)

= 2(7)

= 14

Larger rectangle

length = 14 cm

width = 7 cm

perimeter of larger rectangle = 2(length + width)

= 2(14 + 7)

= 2(21)

= 42 cm

perimeter of new shape = perimeter of larger rectangle + 2 × 2

= 42 + 4

= 46 cm

Therefore, the perimeter of the new shape formed when a smaller rectangle is cut out is 46 cm

Learn more about perimeter of a rectangle:

https://brainly.com/question/17297081

Answer:

(3). h = 4√6 units ; (5). x = 3√21 units

Step-by-step explanation:

(3). "h" is geometric mean

h² = 6 × 16 = 96

h = 4√6 units

(5). h = √(7 × 20) = √140 = 2√35

x² = 7² + 140 = 189

x = 3√21 units

Answer:  11/18

=======================================================

Explanation:

We need to add the fractions, but first we need to get each fraction to have the LCD (lowest common denominator) of 18

18 is the LCM of the denominators 6 and 9

The fraction 1/6 turns into 3/18 when multiplying top and bottom by 3

The fraction 4/9 turns into 8/18 after multiplying top and bottom by 2

Therefore,

(1/6) + (4/9) = (3/18) + (8/18) = (3+8)/18 = 11/18

So Mike has a total of 11/18 of a gallon of paint when combining the two given amounts 1/6 a gallon of blue paint and 4/9 of a gallon of green paint.

Answer:

False

Step-by-step explanation:

It is not because a linear function make a straight line, since it contains [tex]x^{2}[/tex] is is not linear. It creates a parabola.

Answer: B: Sun.

Step-by-step explanation: Jupiter is the largest mass in our solar system, other than the sun. Everything else is too small.

The object in the solar system has a diameter that is about 10 times the diameter of Jupiter is B: Sun.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that the diameter of Jupiter is about 10 times the diameter of the Earth.

We know that Jupiter is the largest mass in our solar system, other than the sun. other planets are too small.

Diameter of Jupiter = 1.43 x [tex]10^5[/tex]km

Diameter of Earth = 1.27 x 1[tex]0^4[/tex]km

Diameter of Jupiter = 10 (Diameter of Earth)

Ratio = Jupiter/Earth

Ratio =  1.43 x [tex]10^5[/tex]/1.27 x 1[tex]0^4[/tex]km

Ratio = 11.3

Since all the other planets are small; only the sun has the largest diameter than Jupiter.

Learn more about multiplications;

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Answer:

The value of  x° = 134°

Step-by-step explanation:

Given the angles of a quadrilateral

We know that the sum of interior angles in a quadrilateral is 360°.

so

100° + 51° + 75° + x° = 360°

226° + x° = 360°

subtracting 226° from both sides

226° + x° - 226°  = 360° - 226°

x° = 134°

Therefore, the value of  x° = 134°

VERIFICATION:

100° + 51° + 75° + 134° = 360°

360°= 360°

Solution:

→ 100° + 51° + 75° + x = 360°

→ (100° + 51° + 75°) + x = 360°

→ 226° + x = 360°

→ x = 360° - 226°

→ [ x = 134° ]

Thus, the value of x is 134°.

Step-by-step explanation:

Every term that has another term preceding it is 4 more than the previous term.

The recursive formula is a(n) = a(n - 1) + 4.

Answer: [tex]\sqrt{\frac{A}{\pi } }[/tex] = r

Step-by-step explanation:

The goal in this problem is to isolate the single variable, r. The original equation is A = pir^2. The first step to attempt to get r on its own is to divide each side of the equation by pi.

A = pir^2

A/pi = pir^2/pi

A/pi = r^2

Next, find the square root of each side to get r on its own:

A/pi = r^2

sqrt(A/pi) = sqrt (r^2)

[tex]\sqrt{\frac{A}{\pi } }[/tex]  = r

Answer:

40

Step-by-step explanation:

32/80 = 0.4

0.4 x 100 = 40

Answer:

40

Step-by-step explanation:

it just is

Answer:

1.45

2. 135

Explanation:

1.  With a triangle all angles have to add up to 180, so what you would do is add up both angles we already know (43+92=135), then we subtract the sum from 180, (180-135=45) now you know the third angle.

2.  Just like a triangle, when finding angles on a line, it has to add up to 180. We already know that point M has an angle of 45 from the last problem, so all we have to do is subtract 45 from 180 (180-45=135). THats the measurement on TMS

Answer:

(2, 6)

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~~

(12, 4)

(- 8, 8)

( [tex]\frac{-8+12}{2}[/tex] , [tex]\frac{8+4}{2}[/tex] ) = (2, 6)

answer:

step by step explanation:

make all numbers the same decimal,fraction or percentage and then compare

3/8=37.5%

-2.8=20.8%

0.053=5.3%

-2.8%

ascending means from smallest to biggest so the answer would be 0.053