David throws a bucket with an initial speed of 2 meters per second into a well that is 30 meters deep. When will the bucket hit the bottom of the well?


A. About 2.69 seconds
B. About 30 seconds
C. About 3.82 seconds
D. About 4.21 seconds


Answer: A

Answer:

(3x + 5)(x - 6) = 0 (Assuming 3x is to the power of two 3x^2)

Step-by-step explanation:

Factor out -13 from -13x

3x^2 - 13(x) - 30 = 0

Rewrite -13 as 5 plus -18

3x^2 + (5 - 18)x - 30 = 0

Apply the distributive property

3x^2 + 5x - 18x - 30 = 0

Now factor out the GCF (Greatest common factor)

To do so we will group the first two terms and last two.

(3x^2 + 5x) - 18x - 30 = 0

Then factor out the GCF from each group.

x(3x + 5) - 6(3x + 5) = 0

(3x + 5)(x - 6) = 0

Answer:

-5/3  ,   6

Step-by-step explanation:

Quadratic Formula is
x = -b ± √(b^2 − 4ac))/(2a)

replace the letters with the values from the equation, and plug it in.

x = -(-13) ± √((-13)^2 − 4*3(-30))/(2(3))
    =
x = (13 ± 23) / 6

You may subtract or add the 13 and 23 for a valid answer, thus the two possible values are

-5/3

and

6

Answer:

43.16cm

Step-by-step explanation:

(1.2 x 3.6)/2=2.16

3.6 x 1=3.6

2.2 x 1=2.2

8 x 2=16

8 x 2.4=19.2

Answer:

pretty sure its d :)

Step-by-step explanation:

Answer: D

Step-by-step explanation:

To solve for the inverse of an equation, the first step is to rewrite f(x) as y.

This should leave you with the equation  y=[tex]\frac{3x}{5}[/tex]+3

Then switch y and x, which should leave you with x=[tex]\frac{3y}{5}[/tex]+3

Lastly, solve for y.

This should give you the final answer of D or y=[tex]\frac{5(x-3)}{3}[/tex]

The picture below gives a step-by-step picture.

Answer:

...

Step-by-step explanation:

WHat THE hAIL I DONT EVEN KNO WHAT UR ASKING MY BOY

Answer:

y = 3

Step-by-step explanation:

3^2y - 1 = (9)(27)^y - 2

3^2y-1 = 243^y - 2

log(243)/log(3) = 5

2y - 1 = 5(y - 2)

2y - 1 = 5y - 10

-5y      -5y

-3y - 1 = -10

     + 1    +1

-3y = -9

-3      -3

y = 3

Answer:

300

Step-by-step explanation:

I think it will be 300 because

People High-Fives

2. 1

3. 3

4. 6

5. 10

6. 15

7. 21

8. 28

9. 36

10. 45.

There fore 10 people's high five will be 45 keep repeating and finding out the high fives I got 300 but I'm not sure if it's correct

The required number of high fives is 300.

Given that,
There are 25 students and one teacher in the class. After an exam, everyone high-fives everyone else to celebrate how well they did. How many high-fives were there is to be determined.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
There are 25 students
n = 25
For each high five, there would be at least 2 students,
r = 2

The number of high five is given by combination,
= 25 C 2
= 25 * 24 / 2
= 600 / 2
= 300

Thus, the required number of high fives is 300.

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Answer:

20 sales.

Step-by-step explanation:

p(x) = x² + 18x – 160

Here p(x) represents the net pay.

Given that p(x), net pay is $600

x² + 18x – 160 = 600

x² + 18x – 160 - 600 = 0

x² + 18x – 760 = 0

x² +38x - 20x - 760 = 0

x(x+38) - 20(x+38) = 0

(x-20)(x+38) = 0

x = -38, 20

x = 20

Therefore, she makes 20 sales in order to make $600.

Answer: 20 sales.

Proof of validity is shown below.

Answer:

DE = BE = x

x = 29² - 21²

= √400

= 20

x = 20

y = 20² + 99²

= √10201

= 101

y = 101

perimeter of kite ABCD : 29 + 29 + 101 + 101

= 260

Answer:

g(f(2)) = -9

Step-by-step explanation:

You work from the inside out...

To find g(f(2)), you must first find f(2).  f(2) = 3(2) - 9 = 6 - 9 = -3.

Now find g(-3).  g(-3) = -(-3)^2 = -9.

The distance between the flagpole and the building is the number of feet between them

The building is 162 feet from the flagpole

The given parameters are:

The flagpole's shadow is 50% longer than the flagpole.

So, the length (l) of the flagpole's shadow is:

[tex]l = 40 * (1 + 50\%)[/tex]

[tex]l = 60[/tex]

The length of the building's shadow (d) is then calculated as:

[tex]60 : 40 =d : 324[/tex]

Express as fraction

[tex]\frac{60}{40}= \frac{d}{324}[/tex]

[tex]1.50 = \frac{d}{324}[/tex]

Solve for d

[tex]d = 1.50 * 324[/tex]

[tex]d = 486[/tex]

The distance (x) of the building from the flagpole is then calculated as:

[tex]x = 486 - 324[/tex]

[tex]x = 162[/tex]

Hence, the building is 162 feet from the flagpole

Read more about distance and bearing at:

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Answer:

True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4

Answer:

True

Step-by-step explanation:

[tex]\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.[/tex]

Rearrange like terms to the same side of the equation:

[tex]\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.[/tex]

Substitute into one of the equations:

[tex]-2x-3(7+3x)=-10[/tex]

Apply the Distributive Property:

[tex]-2x-21-9x=-10[/tex]

Combine like terms:

[tex]-11x-21=-10[/tex]

Rearrange variables to the left side of the equation:

[tex]-11x=-10+21[/tex]

Calculate the sum or difference:

[tex]-11x=11[/tex]

Divide both sides of the equation by the coefficient of variable:

[tex]x=-\frac{11}{11}[/tex]

Cross out the common factor:

[tex]x=-1[/tex]

Substitute into one of the equations:

[tex]y=7+3[/tex] × [tex](-1)[/tex]

Calculate:

[tex]y=4[/tex]

The solution of the system is:

[tex]\left \{ {{x=-1} \atop {y=4}} \right.[/tex]

Express solutions in ordered pairs:

[tex](-1,4)[/tex]

Determine whether [tex](-1,4)[/tex] and [tex](-1,4)[/tex] are equivalent:

True

Answer:

63/8

Step-by-step explanation:

(7x8) + 7 = 63
keep the same dinominator

Answer: it would be 63/8 as an improper fraction

Step-by-step explanation:

Step-by-step explanation:

Multiply:

[tex] \frac{ - 5}{7} \times \frac{ - 21}{55} = \frac{105}{385} [/tex]

Divide each side by 35:

[tex] \frac{105 \div 35}{385 \div 35} = \frac{3}{11} [/tex]

Your simplified product is 3/11.

Answer:

83.25 cm

Step-by-step explanation:

1/4(x) cm

x= time

1/4(333)

or 333/4

her height changes

83.25 cm

"This is nonresponse bias because many customers may choose to not fill out the cards"
Not everyone will chose to leave a review when leaving the store, and those that do were probably in some way inconvenienced, and felt inclined to leave one, while the others left and went about their day.

Answer:

shift right then stretch vertically

Step-by-step explanation:

A

The transformations from f(x) to g(x) is shift right then stretch vertically. Hence. option A is the correct answer.

It is Given y = f(x) and y = g(x), we need to explain the transformations from f(x) to g(x).

The transformation of a function may involve any change.

These can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k f(x)

Horizontal stretch by a factor k: y = [tex]f\left(\dfrac{x}{k}\right)[/tex]

Here, the transformations from f(x) to g(x);

We can conclude that the transformations from f(x) to g(x) is shift right then stretch vertically.

Hence. option A is the correct answer.

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Answer:

jk = 4

Step-by-step explanation:

it starts at -2x and then goes to 2 x so the equation is

so it's |2| +2 =jk

Answer:

Step-by-step explanation:

Calculate and compare:

Answer:

c = 0.63(s)

Step-by-step explanation:

brainliest please<3

Answer:1 cup of chocolate chips for every 1and 3/4 cup of flour

so divide 4 and 2/3 x 1 and 3/4

turn them both into fractions

4 2/3 = 14/3

1 3/4 = 7/4

14/3 / 7/4 = 14/3 x 4/7 = 56/21 = 2 and 2/3 cups of chocolate chips are needed

Step-by-step explanation:

Check the picture below.

and if you check your Unit Circle, you'd notice that those angles have an specific value.

[tex]\cfrac{15}{sin(60^o)}~~ = ~~\cfrac{x}{sin(45^o)}\implies \cfrac{15}{~~ \frac{\sqrt{3}}{2}~~}~~ = ~~\cfrac{x}{~~ \frac{\sqrt{2}}{2}~~}\implies \cfrac{15}{1}\cdot \cfrac{2}{\sqrt{3}}~~ = ~~\cfrac{x}{1}\cdot \cfrac{2}{\sqrt{2}}[/tex]

[tex]\cfrac{30}{\sqrt{3}}=\cfrac{2x}{\sqrt{2}}\implies \cfrac{30\sqrt{2}}{\sqrt{3}}=2x\implies \cfrac{30\sqrt{2}}{2\sqrt{3}}=x\implies \cfrac{15\sqrt{2}}{\sqrt{3}}=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{rationalizing the denominator}}{\cfrac{15\sqrt{2}}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{15\sqrt{6}}{3}}\implies \boxed{5\sqrt{6}=x}[/tex]

Answer:

-5 is your answer.

Step-by-step explanation:

[tex]=y+8>3\\\\=y+8-8>3-8\\\\[/tex] [Subtracting 8 in both sides]

[tex]=y>-5[/tex]

Answer:

110°

Step-by-step explanation:

Angles don't change if both are same shape (gradient)

Answer:

1,870

Step-by-step explanation:

Answer:

258 ft²

Step-by-step explanation:

This shape is represented as a rectangle with dimensions of 18ft by 21 ft and a portion of it that has been cut out.

Let's find the area of the original rectangle:

Now let's find the area of the part cut out:

Subtract the part cut out from the original rectangle:

-Chetan K

Answer:

answer is y=-2x

Step-by-step explanation:

-2x because every time  the dot decreases

Answer:

the answer for 2 is given answer for 1 is  trans prop of answer for 3 is knl and answer for 4 is  nkl

Step-by-step explanation: