A cannon ball has been catapulted through the air and follows the path created by the
function f(t) = -16t2 + 30t + 7 where f(t) is the height of the cannon ball in
meters at any given time (t) in seconds.

Answer:

Side is equal to [tex](z+6)[/tex] feet.

Step-by-step explanation:

A square is a four sided polygon in which all sides are equal, diagonals are equal and each angle is equal to [tex]90[/tex]°

Area of a square = side × side

Area of a square [tex]=z^2+12z+36[/tex]

Here, write [tex]12z=6z+6z[/tex]

Therefore,

Area of a square [tex]=z^2+6z+6z+36[/tex]

[tex]=z(z+6)+6(z+6)[/tex]

[tex]=(z+6)^2[/tex] square feet

So,

side × side [tex]=(z+6)^2[/tex]

This implies side is equal to [tex](z+6)[/tex] feet.

Answer:

Step-by-step explanation:

First equation:  −3x − 5 = 16

 Combine the constants:

 -3x = 21

  Solve for x using division:  x = 21/(-3)   or  x = -7

Second equation:  −4(y − 2) = 12

 Reduce this by dividing both sides by -4:  y - 2 = -3

 Add 2 to both sides, to isolate y:  y = -1

Answer: about TWO

Step-by-step explanation:

9514 1404 393

Answer:

  y = -x/16 +1

Step-by-step explanation:

The slope is at any point x is ...

  y' = -4/x^2

so, at x=8, the slope is ...

  m = -4/8^2 = -4/64 = -1/16

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Then the line with slope -1/16 through point (8, 1/2) is ...

  y - 1/2 = -1/16(x -8)

  y = -1/16x +1/2 + 1/2 . . . . . eliminate parentheses, add 1/2

  y = -1/16x +1 . . . . . equation of the tangent line

Answer:

The fourth one is -2, -4

Step-by-step explanation:

Hope this helps :)

Answer:

A  5   is the mode of the data

Answer:

Option C) 2 and 5

Step-by-step explanation:

Mode :- The only number which appears multiple times 

So 2 and 5 appears multiple times...

Answer:

Mrs. Gallon is left with -22 gallon of milk

Step-by-step explanation:

Mrs. Fulcher had 14 gallon of milk

She brought 12 gallon of more milk

Milk consumed by her family - 58 gallon

Milk left with Mrs. Fulcher = 14 + 12 -58  = -22

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

The value of m is [tex]\frac{3}{5}[/tex].

'Logarithm is the exponent or power to which a base must be raised to yield a given number.'

According to the given problem,

⇒ [tex]log_{32}8[/tex] = m

⇒ m = [tex]log_{32}8[/tex]

⇒ m = [tex]\frac{log 8 }{log32}[/tex]

⇒ m = [tex]\frac{log(2)^{3} }{log(2)^{5} }[/tex]

⇒ m = [tex]\frac{3log2}{5log2}[/tex]

⇒ m = [tex]\frac{3}{5}[/tex]  

Hence, we can conclude, the value of m is [tex]\frac{3}{5}[/tex].

Learn more about logarithm here: https://brainly.com/question/20785664

#SPJ2

Answer:

The factors are:

Answer: B

Step-by-step explanation:

Answer:

Median = 3500

Step-by-step explanation:

Data Set: 1850, 3500, 4200, 2310, 4260

=> Let's set this to the ascending order (least to greatest) first:

1850, 2310, 3500, 4200, 4260

=> Now as you cancel out the first value, cancel out the last one, and do this until u reach down to only one number:

So our median = 3500

Hope this helps!

Answer:

60

Step-by-step explanation:

The perimeter is the measurement around an object.

So first you multiply the 20 and the 10 by 2.

20 * 2 = 40

10 * 2 = 20

Then, add then up!

40 + 20 = 60

Answer: 60

Step-by-step explanation:

10+10= 20 (both sides)

20+20=40 (other sides)

40+20=60 (total sides)

Answer:

Answer: 1645.

Step-by-step explanation:

Given data:

No. Of days of rental = 11 days.

Solution:

= 325 + 120d

Input the data for (d) into the equation

= 325 + 120(11)

= 325 + 1320

= 1645.

Step-by-step explanation:

Step-by-step explanation:

[tex] \sf \longmapsto \: {9x}^{2} ( {x}^{3} - 1) - 4( {x}^{3} - 1) \\ \sf \longmapsto \: 9 {x}^{2 + 3} - {9x}^{2} - 4 {x}^{3} + 4 \\ \sf \longmapsto \: {9x}^{5} - {9x}^{2} - {4x}^{3} + 4[/tex]

[tex]\sf Knowledge\:Booster\begin{cases}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{cases}[/tex]

Answer:5

Step-by-step explanation: because it is

Answer:

5

Step-by-step explanation:

im smart lol

Answer:

120

Step-by-step explanation:

Given data

36 members are equivalent to 30%

Let the total number of students  be x

Hence

30% of x= 36

30/100*x= 36

0.3x= 36

divide both sides by 0.3

x= 36/0.3

x= 120 students

Hence the total number of students is 120

Answer:

cheetah and 70 mph

Answer:

3s + 9

Step-by-step explanation:

3 * (S+3) = 3 S + 9

Answer:

30

Step-by-step explanation:

Answer: 30

Hopes this helps

Answer:

x=5

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

Answer:

45 plus 5 equal 50

Step-by-step explanation:

Answer:

The domain is how far left and right it goes on a graph, and the range is how far up and down it goes on a graph. Because this equation is linear (if you graphed it, it would be in a straight line), both the domain and range are infinity, because it keeps going up and to the right, the larger X gets, and smaller and to the left, the more negative X gets.

graph is linear:

y=2x-4

solve for x=o

y=2x0-4       Eliminate 0

y=-4             solved for y

solve for y=0

0=2x-4          add 4

+4      +4

4=2x             divide by 2

/2    /2

4/2 =x

2=x               solved for x

calculate the slope

Solve for x=1

y=2x1-4

y=2-4

y=2             solved for y

Calculating the slope

      y                -y

a= x=1      x=0     =2

            1

The graph is

(0, -4)  (2, 0)

Answer:

30 or -30

Step-by-step explanation:

y^2 = 900

Take the square root of each side

sqrt(y^2) = sqrt(900)

y = ±30

Answer:

59

Step-by-step explanation:

The equation is

944 - 5x = 1180 - 9x

Notice what is being said. You start with 944 gallons and take off 5 per week

You also start with 1180 gallons and take on 9 per week.

You want to know when the two are equal. The second tank is larger, but it leaks more. That's what's going to bring about equality.

Add 9x to both sides

944 - 5x + 9x = 1180

944 + 4x = 1180                

Subtract 944 from both sides.

4x = 1180 - 944

4x = 236      

Divide by 4

x = 236/4

x = 59 weeks

Answer:

Bulldogs

Step-by-step explanation:

3/8 is less then 1/2

3/8 is less than 4/5

3/8 is less than 2/3

Answer:

x = 5 pens

y = 7 pencils

Step-by-step explanation:

let

x = the number of pens

y = the number of pencils

Anthony spent $2.80 to buy a total of 12 pens and pencils

0.35x + 0.15y = 2.80

x + y = 12

by solving the system of equations

0.35x + 0.15y = 2.80

x + y = 12

we find

x = 5 pens

y = 7 pencils

Answer: This is correct already.

Step-by-step explanation:

Answer:

You are incorrect. The mean is the average. The correct answer is "The mean is greater than the average"

Answer:

J: 2/45

Step-by-step explanation:

You multiply the probabilities together then simplify

2/15 x 5/15

to get 10/225

simplify to get your answer of 2/45

Step-by-step explanation:

the area is 36...side length is attained by finding its square root.6cm

using that we can use integers to determine the value of the diagonal opposite.

along the x axis,movement towards the left implies a negative -6

along the y axis, movement upwards implies a positive +6

=(x,y)

=((-2-6),(4+6))

=(-8,10)

Answer:

x = 1. y = -3

Step-by-step explanation:

Add the two equations together and notice that all terms containing y will disappear, leaving with

10x = 10 or x = 1

Using this value of x into either one of the equations, you'll get

4(1) + 3y = -5 ---> 3y = -9 or y = -3