The formula for potential energy is p=mgh, where p is potential energy, m is mass , g is gravity and h is height . Which expression can be used to represent g

After d days the total number of lily in the ponds are . It is an simple example of geometric progression.

The formula to calculate the sum of the first n terms of a geometric progression is given by: Sn = a[(rn – 1)/(r – 1)]. Where r is the common ratio and a is the first number of the progress.

Lilly pond starts with 1 Lilly pad, so a = 1and every day amount doubles, so r = 2. Total number of day is d, so n = d.

Therefore, the total number of lilly in the pond is = 1x[(2d-1)/(2-1)] = 2d-1.

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When x = -2:

f(-2) = -3 (-2) + 1

f(-2) = 6 +1

f(-2) = 7

y = 7

When x = 0:

f(0) = -3 (0) + 1

f(0) = 0 +1

f(0) = 1

y = 1

When x = 3:

f(3) = -3 (3) +1

f(3) = -3 (3) + 1

f(3) = -9 +1

f(3) = -8

y = -8

So, the Range is {7, 1, -8}

The perimeter of the triangle is 40 units

From the question, we are to determine the perimeter of the given triangle

From the given diagram, we can observe that the triangle is a right triangle

The vertical length of the triangle is 15 units

and the horizontal length of the triangle is 8 units

Thus,

We can find the hypotenuse by using the Pythagorean theorem

Let the hypotenuse be h

Then,

h² = 15² + 8²

h² = 225 + 64

h² = 289

h = √289

h = 17 units

Now, for the perimeter of the triangle

The perimeter of a triangle is the sum of all its three sides

Thus,

The perimeter. P, of the triangle is

P = 15 + 8 + 17

P = 40 units

Hence, the perimeter of the triangle is 40 units

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This is because they are likely to report their favorite game as soccer or some other related game.

What is survey explain?

What three sorts of surveys are there?

Most studies fall into one of three categories: exploratory, descriptive, or causal. Each has a distinct function and can only be applied in specified ways.

The biased result would be provided by the -

Ask people attending a soccer game

This is because they are likely to report their favorite game as soccer or some other related game.

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True

the sum of interior angles is equal to exterior

A point that is Interior to an Angle is found on the Exterior of the Angle

The statement is false

How do we explain?

A point that is interior to an angle is located within the angle, not on the exterior. The interior of an angle refers to the region enclosed by the angle's sides.

A point that is interior to an angle is located within the angle, not on the exterior. When we refer to the interior of an angle, we are referring to the space enclosed by the angle's sides and vertex.

In geometric terms, an angle consists of two rays that share a common endpoint called the vertex. The interior of the angle is the region between these two rays while on the other hand, the exterior of an angle refers to the space outside the angle, beyond its sides.

In conclusion, a point that is interior to an angle is found within the angle itself, not on the exterior.

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The value of 'x' is -8 in the given equation 121 = 4(5-3x) + 5.

So, 121 = 4(5-3x) + 5:

Therefore, the value of 'x' is -8 in the given equation.

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Answer:

see explanation

Step-by-step explanation:

the 2 expressions are difference of squares and factor in general as

a² - b² = (a + b)(a - b)

Then

4w² - 36

= (2w)² - 6²

= (2w + 6)(2w - 6)

and

25[tex]x^{4}[/tex] - 64y²

= (5x²)² - (8y)²

= (5x² + 8y)(5x² - 8y)

An example of a systematic random sample will be selecting 4 balls from a bag containing. The correct option is B.

A probability sampling technique called systematic sampling involves picking people from the population at regular intervals, such as every 15th person on a list of the population. This can mimic the advantages of straightforward random sampling if the population is arranged in random order.

Here we have two options a.) selecting all the students in a class of 30.

b.) Select 4 balls from a bag containing 30 balls.

Out of the two options, a systematic random sample will be Select 4 balls from a bag containing 30 balls.

Therefore, the correct option is B.

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Answer:

work is shown and pictured

Answer:

1. = 96

2. = -158

Step-by-step explanation:

When you multiply two negatives the answer is positive, and when you multiply one negative and one positive the answer is negative

Answer:

23716 cubic feet

Step-by-step explanation:

7^2=49

11^2=121

2^2=4

49x121=5929

2929x4=23716

Answer: .[tex]306^{-3}[/tex]

Step-by-step explanation:

Answer: +6.03E-3

Step-by-step explanation:

[tex]0.00603=6.03*10^{-3}[/tex]

6.03*10⁻³=+6.03E-3

Answer: 9. x=4    ST=11

             10. x=17  UW=67

Step-by-step explanation:

9.

[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]

Divide both parts of the equation by 7:

[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]

10.

[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]

Divide both parts of the equation by 2:

[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]

Answer: x=3

Step-by-step explanation:

-2(7-x) + 4= -4

-14 + 2x + 4= -4

2x - 10= -4

2x = 6

x=3

Answer:

7. Slope = -5

Y-intercept = -3/4

8. Slope = 1/4

Y-intercept = 5

Step-by-step explanation:

y = mx + b

Slope = m

Y-intercept = b

Answer:

12, 20, 5, 30, 10, 14, 10, 20, 10, 16

Step-by-step explanation:

1.) 21-9=12

2.)35-15=20

3.) 30-25=5

4.) 40-10=30

5.) 30-20=10

11.) 34-20=14

12.) 22-12=10

13.) 30-10=20

14.) 19-9=10

15.) 28-12=16

Answer: So after applying concept of parallelism m<10 = 119

Step-by-step explanation:

As we have given m<119

In terms of parallelism

m< 4 = m<8

and m<8 = m<10

Therefore

m< 10 = m<4 = 119

So after applying concept we get m<10 = 119.

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The float type of data stores real numbers (numbers with decimal values) such as 3.2, 5.67 and 48.42.

A data type, in programming, is a classification that specifies which type of value a variable has and what type of mathematical, relational or logical operations can be applied to it without causing an error.

All number types that allow for the possibility of a fractional component, such as 42.7 or pi, are known as floating point types.

The precision of various floating point data types varies depending on how many bits are utilized to represent the digits, which is directly proportional to the total number of bits in the number. In the IEEE standard, for instance:

Hence, the type of data is floating point.

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Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

I got you bro dont worry

The solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12

The fraction expression is given as

-2 1/3 + (-1 3/4) =

Express the terms of the expression as an improper fraction

So, we have

-2 1/3 + (-1 3/4) = -7/3 + (-7/4)

Remove the bracket in the above expression.

So, we have

-2 1/3 + (-1 3/4) = -7/3 - 7/4

Take the LCM in the above expression.

So, we have

-2 1/3 + (-1 3/4) = (-7 * 4 - 7 * 3)/12

Evaluate the difference

-2 1/3 + (-1 3/4) = -49/12

Express the fraction as a mixed fraction

-2 1/3 + (-1 3/4) = -4 1/12

Hence, the solution to the fraction expression -2 1/3 + (-1 3/4) is -4 1/12

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[tex]2(x-3)\geqslant -3(-3+x)\implies 2x-6\geqslant 9-3x\implies 2x\geqslant 15-3x \\\\\\ 5x\geqslant 15\implies x\geqslant \cfrac{15}{5}\implies x\geqslant 3[/tex]

In this problem, we need to use multiplication and subtraction method to solve it.

_________________________________

x(y) means to multiply x with y

_________________________________

Note that {a = 7} and {b = 6}

First, we need to multiply 4 with {a = 7}, we get:

4(7) = 28

Then, we need to subtract {b = 6} from 28, we get:

28 – 6 = 22

Finally, this simplifies as:

4(7) – 6 = 22

Hope this helps :)

Answer:

Step-by-step explanation:

Take 1325-35=1290. 1290/30= 43. She will be able to learn 43 Yoga for 43 months.

I'm assuming the equation is

[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1[/tex]

Let me know if the equation is different so I can update the solution.

-----------------

Fractions are a pain to deal with, so it's best to eliminate them whenever we can. In equations like this, we can multiply both sides by 4 since this is the LCD (which stands for "lowest common denominator").

If we multiply both sides by 4, then all the denominators of 4 will cancel.

We'll have these steps:

[tex]\frac{3}{4}y - \frac{2}{4}y+7 = \frac{2}{4}y-1\\\\4\left(\frac{3}{4}y - \frac{2}{4}y+7\right) = 4\left(\frac{2}{4}y-1\right)\\\\3y - 2y + 28 = 2y - 4 \ \ \text{ ... denominators cancel after distributing}\\\\y + 28 = 2y - 4\\\\y- 2y =- 4-28\\\\-y = -32\\\\y = \frac{-32}{-1}\\\\y = 32\\\\[/tex]

Answer:

[tex]y=32[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{3}{4}y-\frac{2}{4}y+7=\frac{2}{4}y-1[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y+7-7=\frac{2}{4}y-1-7[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y=\frac{y}{2}-8[/tex]
[tex]\frac{3}{4}y-\frac{2}{4}y-\frac{y}{2}=\frac{y}{2}-8-\frac{y}{2}[/tex]
[tex]-\frac{y}{4}=-8[/tex]
[tex]4\left(-\frac{y}{4}\right)=4\left(-8\right)[/tex]
[tex]\frac{-y}{-1}=\frac{-32}{-1}[/tex]
[tex]y=32[/tex]

Therefore "y = 32."

Hope this helps.

The straight line graph, passing through points (0, 100) and (20, 400), can be described as follows;

1. y = 15•x + 100

2. The slope is first calculated, then the equation is expressed in the point and slope form

3a. A real world situation that can be modelled by the equation is the total cost of joining a gym.

3b. The x-axis represent the number of months of membership, while the y-axis represents the total cost of membership

1. Points on the graph are; (0, 100) and (20, 400)

The slope, m, is therefore;

m = (400 - 100)/(20 - 0) = 15

The equation in slope and intercept form is therefore;

y - 100 = 15•(x - 0) = 15•x

2. The equation of the graph is found based on obtaining two points on the graph, from which the slope can be calculated.

The slope and intercept form is obtained from the point and slope form by making y the subject

3a. A real world example is fitness service that has a joining fee of $100 and a monthly payment of $15

3b. The labels for the x and y axis based on the above situation are;

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