A bag of mixed sweets contains 20 fruit drops, 15 chewing gum and 12 toffees. If three sweets are chosen at random what is the probability that they are: All different, All fruit drops, All the same, All not fruit drops.

The ball hits the ground at a time of 1.433 seconds.

In this problem we have the case of a ball that experiments a free fall, that is, an uniform accelerated motion due to gravity. The position of the ball in time is described by a quadratic equation:

y = y' + v' · t + 0.5 · g · t²

Where:

If we know that y' = 3 m, v' = 5 m / s, g = - 9.807 m / s², y = 0 m, then the time of the ball until it hits the ground is:

0 = 3 + 5 · t - 4.904 · t²

Then, by the quadratic formula:

t = - v' / g ± (1 / g) · √[v'² - 2 · g · y']

t = - 5 / (- 9.807) ± [1 / (- 9.807)] · [5² - 2 · (- 9.807) · 3]

t₁ = 1.433 s. or t₂ = - 0.424 s.

The hitting time of the ball is 1.433 seconds.

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Answer:

1/20

Step-by-step explanation:

You can find the HCF (Highest Common Factor), also known as GCF, by dividing the numbers by the list of answers. And, if they all come out as whole numbers, then the answer you chose will be the answer. But, if there is another answer that also comes out as whole numbers for all of them, we choose the biggest one (HCF):

2 ÷ 1/20 = 40

4 ÷ 1/20 = 80

4/5 ÷ 1/20 = 16

So, 1/20 is definitely one of the answers, but we should check the other ones too:

2 ÷ 1/40 = 80

4 ÷ 1/40 = 160

4/5 ÷ 1/40 = 32

So, even though we also got whole numbers for this one, it isn't the answer because 1/20 is bigger than 1/40 so far. Let's try the last two answers:

2 ÷ 20 = 0.1

So, we already got our answer. We don't need to check the rest of the numbers, because the first one is already not a whole number. Let's try the final answer:

2 ÷ 15 = 0.13333333

This is not the right one either. So, our answer is 1/20 because it is the biggest one that came out as all whole numbers.

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The true statement about a function and its inverse is, the range of both f(x) and f⁻¹(x) is all real numbers.

The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.

f⁻¹ isn't the reciprocal of f. The composition of the function f and the reciprocal function f⁻¹ gives the domain value of x.

The true statement about a function and its inverse is,

The range of both f(x) and f⁻¹(x) is all real numbers.

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If Sandpiper Company has 25,000 shares of cumulative preferred 1% stock.

Dividends per share for preferred

Common stock

The arrear $75,000 of unpaid dividends from year 1 will be paid to preferred stockholders in year 2

= ($150 x 1% x 25,000) +$75,000

= ($37,500 + $75,000)

= $112,500      

                          Year 1             Year 2            Year 3

Distributed          $75,000        $15,000        $112,500

Preferred             $75,000       $112,500        $25,000

Common                $0                $97,500      $87,500

Dividends per share for preferred

Year 1 =  $75,000/25,000 shares

Year 1 = $3 per share

Year 2 = $112,500 /25,000 shares

Year 2 = $4.5 per share

Year 3 = $25,000/$25,000 shares

Year 3 = $1 per share

Common stock

Year 1 = 0/ 50,000 shares

Year 1 = $0

Year 2 =$97,500 / 50,000 shares

Year 2 = $1.95

Year 3 = $87,500 /50,000 shares

Year 3 =$1.75

Therefore the dividends per share for preferred is $3 per share, $4.5 per share, $1 per share and the common stock $0, $1.95, $1.75.

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The zeros of the function f(x) = -x³ - 7x² - 7x + 15 are -5, -3 and 1

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

To verify if the zeros are for the function, we simply need to plug the values in for x and solve.

f(x) = -x³ - 7x² - 7x + 15

f(-5) = -5³ - 7(-5)² - 7(-5) + 15

f(-5) = 0

When x = - 3

f(-3) = -3³ - 7(-3)² -7(-3) + 15

f(-3) = 0

when x = 1

f(1) = 1³ -7(1) - 7(1) + 15

f(1) = 0

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Answer: never mind

Step-by-step explanation:

We are given:

Find the product.

[tex](wz+8)^3[/tex]

Solution:

[tex]w^3z^3+24w^2z^2+192wz+512[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

192 cm is the length of rectangle.

What is rectangle?

An example of a quadrilateral with opposite sides that are both equal and parallel is a rectangle.

                     There are four 90-degree angles on its four sides, making it a four-sided polygon. A rectangle is a shape with only two dimensions.

Area of rectangle  = 72 * 56

                               = 4032 cm²

the second rectangle's area is same as first rectangle  .

             4032 = x * 21

               x = 4032/21

                 x = 192 cm

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Answer: 7

This is a seventh degree polynomial.

Step-by-step explanation:

The degree of the polynomial is the highest exponent.

Step-by-step explanation:

7 is the degree of the polynomial

7 is the highest exponent.

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There exists a point c ∈ [0, 2π], therefore, f(c) =0, Hence cos x = x has at least one solution.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given equation is,

cos(x) = x    (1)

For the given interval [0, 2π],

By intermediate theorem, for c ∈ [0, 2π], for which f(c) =0

Or we can say that, at x = 0, f(0) = 0

Therefore, cos(x) has at least one solution,  in the interval [0, 2π]

So, given equation cos(x) = x has one solution.

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Answer: im going to be king of the pierates

Step-by-step explanation: :)

Answer: I can’t read it

Step-by-step explanation:

Answer:  

                 x-intercepts: -0.16 and 3.16

                 vertex: (1.5, 5.5)

Step-by-step explanation:

48 let the unknown part be x. And make it 2/8=

Answer:

A and C

Step-by-step explanation:

When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.

[tex]f(x) = 3x^2 + 2x - 20[/tex]

⇒ Replace every x with 3:

[tex]f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13[/tex]

[tex]f(3) = 13[/tex]

Step-by-step explanation:

A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.

What is a function?

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A certain kind of relationship called a function binds inputs to essentially one output.

As per the given function,

F(x)=3x²+2x-20

Substitute, x = 3

F(3) = 3(3)^2 + 2(3) - 20

F(3) = 3(9) + 6 - 20

F(3) = 13

Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".

For more about the function,

Answer: Answer choice B

Step-by-step explanation:

Answer:

El intercepto en y es 6,1

Step-by-step explanation:

Espero que esto ayude

The graph of the function y = 2√x + 6 is plotted and attached.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

The points of intersection of the graph of y = x and y = √x are (0, 0) and (1, 1). The curve y = √x diverges more.

We have the following equation -

y = 2√x + 6

Given is the following equation as -

y = 2√x + 6

Refer to the graph of the function attached.

Therefore, the graph of the function y = 2√x + 6 is plotted and attached.

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Answer:

Step-by-step explanation:

-25/4(x)= -25/8

x= -(25/8) X (4/-25)= 1/2

Answer:

Your answer is [tex]y=0.75x[/tex] or [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

Using the formula [tex]\frac{y1-y2}{x2-x1}[/tex] we get [tex]\frac{3}{4}[/tex]

Using the formula [tex]y=kx[/tex] we get [tex]y=\frac{3}{4} x[/tex]

Step-by-step explanation:

6kg025g = 6025g

4kg 325g = 4325 g

6025+4325= 10350 g

12kg = 12000g

12000-10350 = 1650g = 1 kg 650 g

Answer: $548.00

Step-by-step explanation: In order to find out how much interest Malik will earn in 3 years, we need to first calculate the amount of interest earned each year. We can do this by multiplying the initial amount he deposited by the interest rate, which is 7%. So, the amount of interest earned each year is $2,439 * 7% = $169.73.

Since the interest is compounded annually, this means that the amount of interest earned in the first year is added to the initial deposit to form the new balance. This new balance will then earn interest in the second year, and so on.

Therefore, the amount of interest earned in the second year is 7% of the new balance, which is $2,439 + $169.73 = $2,608.73. So, the interest earned in the second year is $2,608.73 * 7% = $182.61.

In the third year, the interest is again compounded, so the new balance is $2,608.73 + $182.61 = $2,791.34. The interest earned in the third year is 7% of this new balance, which is $2,791.34 * 7% = $196.48.

In total, Malik will earn $169.73 + $182.61 + $196.48 = $548.82 in interest over 3 years. To the nearest cent, this is $548.00.

The income on day 31 would be $21,1474,836.48 and the total income for working 31 days would be $42,949,672.94.

The company pays one penny on the first day, 2 cents on the second day, 4 cents on the third day, and so on.

This situation represents the geometry sequence below as

0.02, 0.04, 0.08,..

Here first-term a₁ = 0.02

And common ratio r = 0.04/0.02 = 2

The income on day 31 would be:

⇒ a₁ (r)ⁿ⁻¹

⇒ 0.02 (2)³¹⁻¹

⇒ 0.02 (2)³⁰

⇒ 21,1474,836.48

Total income for working 31 days would be:

⇒ a₁ (1-rⁿ) / 1 - r

⇒ 0.02 (1-2³¹) / (1 - 2)

⇒ 42,949,672.94

Thus, the income on day 31 would be $21,1474,836.48 and the total income for working 31 days would be $42,949,672.94.

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Answer:

B

Step-by-step explanation:

2x²+3x=4-3=1

2x²+3x=1

to make it a perfect square we divide the coeff of X by 2 then square it and add it to both sides

=(3/2)²=9/4

Answer: (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Step-by-step explanation: To find dy/dx for the relation x³ + y³ = 9xy, we can use the chain rule. The chain rule states that if y is a function of x and x is a function of t, then the derivative of y with respect to t is equal to the derivative of y with respect to x times the derivative of x with respect to t.

In this case, we are given that y is a function of x and we want to find the derivative of y with respect to x. To do this, we can rewrite the given equation as follows:

x³ + y³ = 9xy

y³ = 9xy - x³

We can then take the derivative of both sides of the equation with respect to x to find dy/dx as follows:

3y² * dy/dx = 9y + 9x * dy/dx - 3x² * dy/dx

3y² * dy/dx = (9y + 9x * dy/dx) - 3x² * dy/dx

0 = (9y + 9x * dy/dx) - (3y² * dy/dx + 3x² * dy/dx)

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

We can then solve this equation for dy/dx as follows:

0 = 9y + 9x * dy/dx - 3y² * dy/dx - 3x² * dy/dx

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

9x * dy/dx = 3y² * dy/dx + 3x² * dy/dx - 9y

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

dy/dx = (3y² * dy/dx + 3x² * dy/dx - 9y) / 9x

Therefore, the derivative of y with respect to x for the given equation is equal to (3y² * dy/dx + 3x² * dy/dx - 9y) / 9.

Answer

[tex]\frac{dy}{dx}[/tex]

Step-by-step explanation:

Your welcome ;)