Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the
square of the time taken to fall through that distance. If it falls 64 min 4 seconds. find the distance the
stone covers in the 5th second?
A. 36 m
B. 58 m
C. 72 m
D. 100 m

9514 1404 393

Answer:

  367.92

Step-by-step explanation:

72 = 9·8

In order for the total cost to be divisible by both 8 and 9, it must meet a couple of requirements:

In order for the sum of digits to be divisible by 9, the first and last digits must total 5 or 14. (The total of existing digits is 22. The sum needs to be 27 or 36.)

In order for the last three digits to be divisible by 8, the last digit must be 2*. So, the first digit must be 5-2=3.

The first digit is 3; the last digit is 2.

The total cost is 367.92. Each item price is 367.92/72 = $5.11.

_____

* 790/8 = 98.75, so (790 + 2)/8 will be 99. 792 is the only number starting with 79 that is divisible by 8.

Answer:

0.9

-15.3

-10.4

1.6

Step-by-step explanation:

Let me know if I messed up I think I went to fast

Answer:

1. 0.9

2. -15.3

3. -10.4

4. 1.6

Answer:

the equation is 140÷42 and the answer is 4

Answer:

x is 25

Step-by-step explanation:

sin(x+22)° = cos(2x-7)°

since,

sin theta = cos(90 - theta)

we can substitute that in (let theta = x + 22)

sin(x + 22) = cos(90 - (x+22))

we also know

sin(x+22) = cos(2x-7)

thus cos(90 - (x+22)) = cos(2x-7)

cos(90 - (x +22)) = cos(2x-7)

cos(90 - x -22) = cos(2x - 7)

cos(68 - x) = cos(2x - 7)

68 - x = 2x - 7

68 + 7 = 2x + x

75 = 3x

x = 75/3

x = 25

Answer:

[tex]y=\frac{9}{2}x+5[/tex]

Step-by-step explanation:

To find the equation of the a line that passes through the two given points, we must first find the slope between the two points. We can do this by using the slope formula. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope and (x₁, y₁) and (x₂, y₂) are two points.

By plugging in (-2, -4) and (0, 5) for (x₁, y₁) and (x₂, y₂) respectively, we get:

[tex]y=\frac{5-(-4)}{0-(-2)}=\frac{9}{2}[/tex]

So the slope is 9/2. Now we that we have found the slope, we can write an equation. Normally, when we are given two points, we would pick one of the points and plug it into the point-slope form and then solve for slope-intercept form. Here, notice that one of the points give, (0, 5), is the y-intercept. Knowing this, we can plug in 5 for the y-intercept into the slope-intercept form to get our equation. Remember, slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Pugging in 9/2 for m and 5 for b we get:

[tex]y=\frac{9}{2}x+5[/tex]

which would be our equation.

I hope this helps. Happy studying.

Answer:

No

Step-by-step explanation:

Inconsistent means it has no solution, which means they do not intersect

Dependent means it is the same line

You cannot have both the same line and not intersecting.

Answer:

60%

Step-by-step explanation:

They killed quite a bit and a lot were left.

Complete question :

Find the standard deviation of the following data. Round your answer to one decimal place.

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Answer:

1.833

Step-by-step explanation:

Given the data :

X: 0 1 2 3 4 5

P(X) : 0.2, 0.3, 0.1, 0.1, 0.1, 0.2

Standard deviation (s) = Sqrt[Σx²*f(x) - E(x)²]

E(x) = (0*0.2) + (1*0.3)+(2*0.1)+(3*0.1) + (4*0.1) + (5 * 0.2) = 2.2

Sqrt[Σx²*f(x) - E(x)²]: [(0^2 * 0.2)+(1^2 * 0.3)+(2^2 * 0.1)+(3^2 * 0.1) + (4^2 * 0.1) + (5^2 * 0.2)] - 2.2²

Sqrt(8.2 - 4.84) = 1.833

Answer:

x=14

Step-by-step explanation:

3+1.50x=24

24-3=21

21/1.50=14

Answer is C which is 14

Answer:

y=3/2x

Step-by-step explanation:

The equation of the required line as per slope-intercept form is 3x - 2y = 0.

The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:  

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

Therefore, the slope of a line that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.

The line passes through the point (0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the equation of the straight line is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

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Answer:

$7.25

Step-by-step explanation:

6*1.25

Answer:

7.50

Step-by-step explanation:

Answer:

c) 10√2

Step-by-step explanation:

Two angles are same, means this is an isosceles triangle.

So,

x=10

Now, by using pythagoras theorem,

y=√(10²+10²)

=10√2

Answer:

the answer is 1/8

thank you

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Answer:

Number 4 is the correct answer: (-3, 5)

Answer:

110

Step-by-step explanation:

self explanatory

Answer:

A

Hope this helps ;)

The relationship between the length of a side and the area is non proportional. so option C is correct.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a square, we need to find the relationship between the length of a side and the area.

The answer is non proportional because the side length is x, so is the other side lengths.

The side lengths are all equal and to find area you do x squared or x times x.

So they are not proportional because there will be different numbers for each.

For example. X= 2, area ( x squared ) is 4.

Hence, The relationship between the length of a side and the area is non proportional. so option C is correct.

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Answer:

-pi/6

Step-by-step explanation:

Answer:

-pi/6 c

Step-by-step explanation:

step 1. Multiply the variable x with 13 .

step 2. Add 2 to it .

Step 1 : Subtract 2 from both sides : 13x + 2 - 2 = 41 - 2 = 39

Step 2 : Divide both the sides by 13 : 13x ÷ 13 = 39 ÷ 13 = 3

x = 3

Step 1. Subtract 3 from the variable .

Step 2. Divide the result by 5 .

[tex]Step \: 1. \: add\: 3 \: to \: both \: the \: sides : \frac{x - 3}{5} + 3 = - 1 + 3

[/tex]

Step 2 : Multiply both the sides by 5 : 5 × 1/5x = 5 × -2/5

x = -2

Step-by-step explanation:

2{x + (-21) }= –100

= 2x – 42 = –100

= 2x= –100 + 42

= 2x= –58

= x = –58/2

x= –29

a) Combined mass of earth and venues is 10.8 × 10²⁴. b) There are total 18989.2 kg taking earth and venue to equal to the sun.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given that,

Mass of earth = 5.9 × 10²⁴ kg

Mass of venus = 4.9 ×  10²⁴ kg

a) Combined mass of earth and venus

5.9 × 10²⁴ +  4.9 ×  10²⁴ = 10.8 × 10²⁴

b) If the mass of the sun =  1.9 × 10³⁰

Let's say the total gain of earth and venus combined x so it will equal the mass.

Then,

10.8 × 10²⁴ + x = 1.9 × 10³⁰

x = 18989.2 kg

Hence "Combined mass of earth and venues is 10.8 × 10²⁴ and there are a total of 18989.2 kg taking earth and venue to equal to the sun.

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Answer:

I hope this helps!

Answer:

y = -2/3x +4 --> y = mx+b form

Step-by-step explanation:

-3x-2y = -8 --> add 3x to both side

-2y = 3x-8 --> divide by -2 on both side

y = -2/3x +4 --> y = mx+b form

the y intercept is 4 and the slope is -2/3, down 2, right 3.

therefore, the graph would contain a y intercept point of (0,4) and then from there u would start plotting down 2, going right 3 unit or up 2 and left 3 units. Then when u plotted at least 2/3/4 points, use a straightedge to draw the line.

Answer:

Note: 3/25 and 0.12 are the same

0.12, 3/25, 0.056, 0.1225

OR

3/25 0.12, 0.056, 0.01225

Hope this Helps!

Answer:

$860

Step-by-step explanation:

Jonae makes $16.50 an hour and worked 40 hours.  Multiply the hours worked by the amount of money she earned.

$16.50 × 40 = $660

The stored made $600 on a table and $400 on chairs, which, in total, is $1000.  Since Jonae gets paid 20% of all of the furniture sales, multiply the total sales by the percentage.

$1000 × 0.2 = $200

Add together the earnings she made per hour and the earnings she made from the furniture store's sales.

$660 + $200 = $860

Answer:

b. 2/3 ounce of icing per cupcake.

Step-by-step explanation:

 Given parameters:

       Number of cupcakes = 24 cupcakes

        Ounces of whipped icing = 16 ounces

Unknown:

How much icing was used in each cupcake  = ?

Solution:

 To find the number icing used per cupcake;

                             = [tex]\frac{number of ounces of whipped icing}{Number of cupckakes}[/tex]

  Input the parameters;

                              = [tex]\frac{16 ounce of icing }{24 cupcake}[/tex]

                             = [tex]\frac{2}{3}[/tex] ounce of icing per cupcake

Answer:

Shift down one unit

Step-by-step explanation:

Correct for e2020

The transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:

f(x) = x²

p(x) = –x² + 14x - 50

The function p(x) can be written as,

p(x) = –(x² - 14x + 49) - 1

p(x) = -(x - 7)² - 1

Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

So, the correct answer is A).

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