Rewrite 13/25 and 11/20 so that they have a common denominator

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

Step-by-step explanation:

Answer:

1000 tiles

Step-by-step explanation:

Determine total floor space
800 x 10 = 8000 squared cm total floor space.
Divide floor space by size of tile
8000 / 8 = 1000 tiles now required to cover the floor.

Answer:

The first type of solid shapes to be discovered are known as Platonic solids, which include the cube, the tetrahedron, the octahedron, the dodecahedron, and the icosahedron

Since the function f(x) is

Since there is no square root for negative numbers, then

We will solve it by adding 7 to both sides

Then we can choose values of x from 7 and greater

Let x = 7

The 1st ordered pair is (7, 0)

Let x = 11

The 2nd ordered pair is (11, 2)

Let x = 8

The 3rd ordered pair is (8, 1)

Let x = 16

The 4th ordered pair is (16, 3)

The 4 ordered pairs are (7, 0), (8, 1), (11, 2), (16, 3)

Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Introducing numeracy to young children can be done through various types of equipment and resources that engage their senses and make learning math concepts more interactive and enjoyable.

Here are some different types of equipment commonly used to introduce numeracy to young children:

Thus, by incorporating a variety of equipment and resources, educators and parents can create a rich learning environment that supports children's numeracy development and fosters a positive attitude towards math.

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Answer:

11/8

Step-by-step explanation:

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

6/8 the product of 2/4and6/8

Step-by-step explanation:

2/4and6/8=4/8,12/16

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer:

1 < x < 29

Step-by-step explanation:

The sum of two of the lengths of a triangle must be greater than the length of the third side.

14 + x > 15, so x > 1. 15 + 14 > x, so x < 29.

Answer:

.475

Step-by-step explanation:

This is the Ansewer

Answer:

Step-by-step explanation:

for n ∈ N

Since Actuary Rahul examines low-risk policies, continuing until a policy with a claim is found and then stopping.

∴ the probability that Actuary Rahul examines exactly n policies

\((0.9)^{n-1}.(0.1)---(1)\)

the probability that Actuary Toby examines more than  exactly n policies

\((0.8)^n---(2)\)

Given that policies are actually independent

∴ the probability that the event  (1) and (2) happens simultaneously is

\((0.9)^{n-1}*(0.1)*(0.8)^n\)

∴  the probability that Actuary Rahul examines fewer policies than Actuary Toby

\(\sum ^\infty _{n=1} (0.9)^{n-1}*(0.1)*(0.8)^n\\\\=(\frac{0.1}{0.9} \sum ^\infty _{n=1}(0.72)^n\\\\=\frac{1}{9} (\frac{0.72}{0.28} )\\\\=\frac{2}{7} \\\\=0.2857\)

The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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Answer:

How many grams are in 2.2

kilograms?

The solution is

Step-by-step explanation:

There are 2,200 grams in 2.2 kilograms.

There are 1,000 grams in one kilogram.

So, to convert kilograms to grams, you multiply the number of kilograms by 1,000.

To find out how numerous grams are in2.2 kilograms, you would multiply 2.2 by 1,000

So, 2.2 kilograms x 1,000 grams/ kilogram

= 2,200 grams

So, there are 2,200 grams in 2.2 kilograms.

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Answer:

32 liters is the volume of the glass tank

Answer:

7

Step-by-step explanation:

Answer:

Starting with the equation:

(x + 1)^2 = 13/4

We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.

Taking the square root of both sides, we get:

x + 1 = ±√(13/4)

Simplifying under the radical:

x + 1 = ±(√13)/2

Now we can solve for x by subtracting 1 from both sides:

x = -1 ± (√13)/2

Therefore, the solutions to the equation are:

x = -1 + (√13)/2 or x = -1 - (√13)/2

Step-by-step explanation:

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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The lengths of the three sides of the pie-shaped lake-front lot are:

Shortest side: 100 feet

Second side: 400 feet

Third side: 600 feet

Let's denote the lengths of the three sides of the triangular lake-front lot as x, x + 300, and x + 500.

The perimeter of a triangle is the sum of its three sides, so we can set up an equation to represent the given information:

x+ (x + 300) + (x + 500) = 1,100

Simplifying the equation:

3x + 800 = 1,100

Subtracting 800 from both sides:

3x = 300

Dividing both sides by 3:

x = 100

Now that we have found the length of the shortest side, we can substitute this value back into the expressions for the other two sides:

Shortest side (x) = 100 feet

Second side (x + 300) = 100 + 300 = 400 feet

Third side (x + 500) = 100 + 500 = 600 feet

Therefore, the lengths of the three sides of the pie-shaped lake-front lot are:

Shortest side: 100 feet

Second side: 400 feet

Third side: 600 feet

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Solution

Draw a diagramatic representation of the question

Step 2

Add both heights to determine the height of the block including the tower antenna

Hence the total height required = 59/12 feet or 4 11/12 feet approximately

Answer:

35x48=1680

Step-by-step explanation:

1680

\(2x-8<7\\\\\implies 2x <7+8\\\\\implies 2x<15\\\\\implies x< \dfrac{15}2\)

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

\(E(X)=\frac{r}{p}\)

r is number of times it is repeated

p is probability it happens

Solving:

\(E(X)=\frac{5}{1/6}\)

E(X) = 30

Variance is given by:

\(Var[X]=\frac{r(1-p)}{p^{2}}\)

\(Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}\)

\(Var[X]=5.\frac{5}{6}.6^{2}\)

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

The letter that represents the line after a translation by 6 units down and 8 units to the left is; Line Y

Translation in transformation is simply defined as the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

Now, we are told that the line AB is translated 6 units down and 8 units to the left.

Coordinates of A and B are;

A(1, 8)

B(7, 4)

Thus, the translation by 6 units down and 8 units to the left gives us;

A'(1 - 8, 8 - 6) = A'(-7, 2)

B(7 - 8, 4 - 6) = B'(-1, -2)

This corresponds with this is Y

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Answer: the percentage you would get the number two would be 10% out of 100 I believe. Hope it helped!

The expression that represent the total cost of vaccinating {x} calves would be y = f(x) = 20.5x + 5x.

The cost of a vaccine per calf = $20.50

The cost to pay to helpers per calf = $5

For the cost of vaccinating {x} calves, the total cost of vaccine = $20.5x.

For the cost of vaccinating {x} calves, the total cost to helpers = $5x.

The expression that represent the total cost of vaccinating {x} calves would be -

y = f(x) = 20.5x + 5x

Hence, the expression that represent the total cost of vaccinating {x} calves would be y = f(x) = 20.5x + 5x.

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