The height of a projectile launched upward at a speed of 25 meters/second from a height of 70 meters is given by the function h(t)=-5sup(t,2)+25t+70. How long will it take the projectile to hit the ground?

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We note that this line is not linear, or squared. This means it might be cubical.

If it is cubical the line must be a variant of

f(x)=[tex]x^{3}[/tex].
However f(x)=[tex]x^{3}[/tex] points the opposite direction so we must make it negative.

We also noticed we had to stretch it, so we had to add a fraction.

Your answer is f(x)=[tex]-\frac{1}{8} x^{3}[/tex]

Answer:

  1,16,00,000

Step-by-step explanation:

To round to the nearest lakh, identify the digit that is to the right of the number place representing 1 lakh. If it is 5 or greater, round up.

The value 1,15,78,995 is 115.78995 lakh. The digit to the right of the decimal point in this number is 7, which is greater than 4. Hence the nearest lakh is 116 lakh, or ...

  1,16,00,000

Answer: 105

Step-by-step explanation:

Corresponding sides of similar triangles are proportional, so

[tex]\frac{x}{14}=\frac{97.5}{13}\\\\=\frac{x}{14}=7.5\\\\x=\boxed{105}[/tex]

Answer:

$0.80

Step-by-step explanation:

If the 100 pounds was bought separately (of course in real life you will probably not)

= 100 pounds x $0.0825/pound

= $8.25

As you can see it will cost more than if you buy a 100 pound sack.

Cost Difference = $8.25 - $7.45 = $0.80

That means you will save $0.80 from it.

There will be a profit of $0.8 if the soil is bought for $7.45 for 100- pound sack and sold for 8 1/4 cents per pound.

Multiplication in mathematics is the process of adding a number repeatedly up to the times of another number. If two numbers, namely a and b are multiplied, this is denoted by a × b. This means that 'a' is added repeatedly to itself up to b times or b is added repeatedly up to 'a' times.

Amount got for 1 pound soil after selling = 8 [tex]\frac{1}{4}[/tex] cents

                                                                   = 33/4 cents

                                                                   = 8.25 cents

                                                                   = 8.25 / 100 dollars

                                                                   = 0.0825 dollars

For 100 - pound sack, amount got after selling = 0.0825 × 100

                                                                             = 8.25 dollars

Cost for 100 - pound sack = $7.45

Profit = $8.25 - $7.45

         = $0.8

$0.8 will be saved if you bought a 100- pound sack for $7.45.

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Finding the distances between the 4 consecutive points, using the formula, all will be equal, hence the points will form a square.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, four consecutive points will be given in the cartesian plan, and their distances should be calculated. If they are equal, these points will form a square.

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Answer: 132 million

Exponential growth formula: [tex]P=A e^{rt}[/tex]

[P is final amount, A is initial amount, r is growth rate, x is time intervals]

To find growth rate:

[tex]112 = 107 e^{r(3)}[/tex]

[tex]3r= ln(112/107)[/tex]

[tex]r= ln(112/107)/3 = 0.01522334561[/tex]

Population in 2008:

[tex]P_{2008}=107 e^{(0.01522334561(14))}[/tex]

[tex]P_{2008}=132.4169522[/tex]

[tex]P_{2008}=132\:million \quad (rounded \:to\:nearest\:million)[/tex]

Answer:

See below

Step-by-step explanation:

P = 4pir^2 l     divide both sides by  4 pi r^2

l  =  P /(4pir^2)

Answer:

52m

Step-by-step explanation:

rhombus

its like a slanted square

all its 4 sides are equal like a square

both pairs of opposite sides are parallel

when the diagonals criss cross they make 4 triangles inside

the sides of the rhombus become the hypotenuse of a triangles inside

if the diagonal is 24 and 10 then

its radius is 12 and 5

the sides of the rhombus become the hypotenuse of a triangle that have the sides 12 and 5

hypotenuse of a triangle that has the sides 12 and 5 is

13

(its a special triangle: its a 5, 12, 13 right triangle)

13 times 4 is 52

Step-by-step explanation:

A B D

I did it and this was the correct answers

Answer:

g(x)=x^2 -6x +5

Step-by-step explanation:

Answer:

g(x) = (x - 3)² - 4

Step-by-step explanation:

When values are directly added to the "x" variable (usually inside of parentheses), the function shifts to the left that many units.

When values are directly subtracted from the "x" variable, the function shifts to the right that many units.

When values are added to an overall function, the function shifts upwards that many units.

When a value is subtracted from an overall function, the function shifts downwards that many units.

We can determine how the function has been translated by looking at the changed position of the vertex (the lowest point of the line).

As you can see, the new vertex now lies on x = 3 rather than x = 0.This means that there should be a -3 directly next to the "x" variable in the new function.

The new vertex also now lies on y = -4 rather than y = 0. Therefore, there should be a -4 added to the overall equation.

These changes make the new function:

g(x) = (x - 3)² - 4

If the square pyramid has side length 9 inches and volume of 270 inches cube then by putting the values within the formula of volume height are going to be 10 inches.

Given Length and volume of a square pyramid are 9 inches and 270 inches cube. Square pyramid is the pyramid having square base. It is a right square pyramid.

We know that the amount of square pyramid is 1/3 *[tex]l^{2} *h[/tex]

Put the values in formula to induce the values oh h.

Volume=1/3*[tex]9^{2}*h[/tex]

270=1/3* 81*h

h=(270*3)/81

h=810/81

h=10

Hence the peak of the square pyramid having length 9 inches and volume of 270 inches cube is 10 inches.

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The value of a and b are 5.5 and 11.0.

The sides a and b of the triangle can be found as follows:

∠B = 29°

c = 11

∠C = 75°

∠A = 180 - 75 - 29 = 76°

Using sine ratio,

b / sin 29° = 11 / sin 75

b sin 75 = 11 sin 29

b =  11 sin 29 / sin 75

b = 5.33290582271 / 0.96592582628

b = 5.51816958277

b = 5.5

Let's find a,

a / sin 76 = 11 / sin 75

a sin 75 = 11 sin 76

a = 11 sin 76 / sin 75

a = 10.673252989 / 0.96592582628

a = 11.0466922042

a = 11.0

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Answer:

The formula of volume of cube is l*b*h

45*25*10=11250 cubic cm

Step-by-step explanation:

volume =length×width ×height

given:

length:45 cm

width:25 cm

height(depth):10 cm

according to the question

45 cm×25cm ×10cm

11250 cubic cm

Answer:

If a numbed substitutes x in f (x), you must substitute that number in the function for x.

Step-by-step explanation:

f(5) = 3(5) + 2

f(5 )= 17

The match of the multiplication problem with the simplified expressions is as follows:

The process involved in multiplying polynomial expression requires using all the parameters in parentheses to multiply each other.

From the given information:

[tex]\mathbf{4x(4x^2-x+3)}[/tex]

By using distributive law m(a+b+c) = ma + mb + mc

[tex]\mathbf{=4x(4x^2)+4x(-x)+4x(3))}[/tex]

= 16x³ - 4x² + 12x

(8x + 1)(2x -3)

By applying FOIL method: (a+b)(c+d) = ac + ad + bc + bd

= (8x (2x)) + (8x(-3)) + (1 × 2x) + (1 × (-3))

= 16x² - 22x - 3

4x² (4x)

Applying exponent rule; [tex]\mathbf{a^b*a^c = a^{b+c}}[/tex]

[tex]\mathbf{= 4x^2 (4x)= x^2*4^{1+1}x}[/tex]

[tex]\mathbf{= x^2*4^{2}x}[/tex]

[tex]\mathbf{= 4^{2}x^{2+1}}[/tex]

[tex]\mathbf{= 4^{2}x^{3}}[/tex]

[tex]\mathbf{= 16x^{3}}[/tex]

(2x + 3) (8x² - 4x + 3)

Using distributive parentheses:

= 2x(8x² - 4x + 3) + 3(8x² - 4x + 3)

= 16x³ + 16x² - 6x + 9

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Answer:

B

Step-by-step explanation:

consistent and dependent

The weight of each bag is 0.545 lb .

Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.

It is given that

Total weight of green grapes = 5.65 lb

Total weight of red grapes = 3.07lb

Total weight = 5.65 +3.07 = 8.72   lb

Total number of bags = 16

the weight of each bag

= 8.72 / 16

= 0.545 lb

Therefore the weight of each bag is 0.545 lb .

The complete question is

Emilio bought 5.65lb  of green grapes and  3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?

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The function is an exponential function; the initial value is -6.1 and the base is 3

The equation of the function is given as:

y = -6.1 *(3^x)

An exponential function is represented as:

y = ab^x

Where:

Initial value = a

base = b

By comparison, we have

a = -6.1 and b = 3

Hence, the function is an exponential function; the initial value is -6.1 and the base is 3

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The length of the vinyl must be 10.2ft

We know that two of the angles of the triangle measure 45°, then we have a right triangle of 45°, 45°, 90°.

We know that the catheti measure 3 ft, using the pithagorean theorem, we know that the length of the hypotenuse is given by:

[tex]H^2 = (3ft)^2 + (3ft)^2[/tex]

[tex]H = \sqrt{2*(3ft)^2} = 4.2ft[/tex]

Then the perimeter of the triangle is:

P = 3ft + 3ft + 4.2ft = 10.2ft

The length of the vinyl must be 10.2ft

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Answer:

Step-by-step explanation:

1) in order to graph the required direct line it needed two points:

2) one of these two points is Y-intercept. According to the condition it is (0;1);

3) in order to find the second point, it is enough to apply the given slope: to start in point (0;1), then to move to the left direction (-5 units, move no. 1), then to move up (+7 units, move no. 2);

4) to graph the line between two points (red line); y= -7/5x +1.

All the details are in the attachment.

The value of the probability P(S or T) is 39%

The probability values are given as:

P(S) = 12% P(T) =27%

For mutually exclusive events,

P(S or T) = P(S) + P(T)

This gives

P(S or T) = 12% + 27%

Evaluate the sum

P(S or T) = 39%

Hence, the value of the probability P(S or T) is 39%

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The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a quadratic equation:

x² + 2x - 2 = 0

x² + 2x + 1 - 1 - 2 = 0

(x + 1)² - 3 = 0

(x + 1)² = 3

x + 1 = ± √3

x = -1 ± √3

Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3

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Answer:

See below

Step-by-step explanation:

density = mass/volume

   re-arrange to    density * volume = mass

                                 20 * 64 = 1280 gm

Density = mass/volume    

   re-arrange to      volume = mass / density

                                                 560 / 14 = 40 cm^3

By the equations according to the cylindrical system of coordinates, the equation for a helix are x = 8 · cos (2π · t /T), y = 8 · sin (2π · t /T) and z = 6 · (t/T).

According to the cylindrical system of coordinates, helix can be described by the following equations:

Radius

x = r · cos (2π · t /T)     (1)

y = r · sin (2π · t /T)      (2)

Height

z = H · (t/T)     (3)

Where T is the period of one complete revolution.

If we know that r = 8 and H = 6, then the equations for the helix is:

x = 8 · cos (2π · t /T)

y = 8 · sin (2π · t /T)

z = 6 · (t/T)

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The answer is : True

Trust me char HAHA

BÁKLA KA POR TODEYS BEDYO.

Step-by-step explanation:

If you are asking about the probability of Getting Blue, Orange, Yellow, Red and Green

P=N(E)/N(S)

Probability of Blue=15/62

probability of Orange= 16/62

probability of yellow=12/62

probability of Red=14/62

probability of Green=5/62

The difference of two squares expression is (c) (5x + 3y)(5x - 3y)

The difference of two squares expression is represented as:

a^2 - b^2 = (a + b)(a - b)

Using the above as a guide, we have the following expression in option (c)

(5x + 3y)(5x - 3y)

Hence, the difference of two squares expression is (c) (5x + 3y)(5x - 3y)

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