100 POINTS!!

Prove that a line that divides two sides of a triangle proportionally is parallel to the third side. Be sure to create and name the appropriate geometric figures.

Answer:

6 houses

Step-by-step explanation:

Answer:

the answer i believe is 37.30

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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Answer:

A

Step-by-step explanation:

Congruent means equal and not all the sides of a rectangle are equal

The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

We have the Inequality y≤ 1/2 x -4.

Now, we plot the inequality on the Graph as shown by the red region.

As, the inequality intersect the axis at (0, -4) and (8, 0).

Thus, the solution is (0, -4) and (8, 0).

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The exponential function that represents this situation is 25000(1.03)ˣ

From the question, we have the following parameters that can be used in our computation:

Inital visitors, a = 25000

Rate of increase, r = 3%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

Substitute the known values in the above equation, so, we have the following representation

f(x) = 25000 * (1 + 3%)ˣ

So, we have

f(x) = 25000(1.03)ˣ

Hence, the function is 25000(1.03)ˣ

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The calculated solution to the inequality is a < 6

from the question, we have the following parameters that can be used in our computation:

2a - 10 < 2

Divide through the equation by 2

So, we have

a - 5 < 1

Add 5 to both sides

a < 6

Hence, the solution to the inequality is a < 6 and the graph is attached

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Answer:

\(\underline{\underline{\boxed{\sf x=25^o}}}\)

Step-by-step explanation:

The angles are vertical angles. Vertical → congruent.

Since they are congruent, we can set their measures equal to each other.

\(\sf 150^o=(4x+50)^o\)

Solve for x:-

\(\sf 150^o=4x+50^o\)

\(\sf 100=4x\)

\(\sf 25=x\)

\(\sf x=25^o\) ← Answer

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

Answer:

can I see the opinions and I will come

Step-by-step explanation:

back and edit my question and answer it for you

Answer:

0, 1, 2, infinite

Step-by-step explanation:

Linear Decay  is the equation .

What is Linear Decay?

Is linear decay exponential?

Scientists are studying the growth of a particular virus in a large community.

The case count, C, in the community after d days can be modeled with the equation: C = 181(1.07)d

This equation is showing Linear Decay .

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Answer:

3 / 8

Step-by-step explanation:

7 / 8 - 2 / 4 =

2  x 2                4

---               =     ----

4    x 2                8

7           4              3

-      -     -       =     ----

8           8               8

What I did was find a common denominator first Then do the equation

Can I have a crown please?

Answer:

Step-by-step explanation:

your right choice is a

you need

28+a\(\geq\)50

Duck Feet. Duck feet are visually obvious adaptations. All duck species have webbed feet that help them swim. These feet extend laterally when a duck pushes back with its legs and provide maximum surface area for increased efficiency in movement.

hope it helps...!!!

Domain: 8, 9, 10, 11.Range: -7, 7 This relation does not represent a function because the same x-value (8, 10, 11) is associated with more than one y-value (-7, 7).

Domain: 8, 9, 10, 11

Range: -7, 7

A function is a relation between a set of inputs and a set of outputs such that each input is associated with exactly one output. This particular relation fails to meet this condition because the domain value 8 is associated with two different range values (-7 and 7). In other words, the same input (8) is associated with two different outputs, which means the relation does not represent a function. The domain of the relation is 8, 9, 10, 11 and the range is -7 and 7. Therefore, this relation does not represent a function because it violates the condition that each input must have one and only one associated output.

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Answer:

8

Step-by-step explanation:

The percentage error of the measurement= 1.96%

The length of the line drawn by Victor = 10cm

The true length is = 10.2cm

Extra length causing error = 10.2 - 10 = 0.2

The percentage error = 0.2/10.2 × 100

= 20/10.2

= 1.96%

Therefore, the percentage error of the measurement

= 1.96%

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Answer:

25 and 36

Step-by-step explanation:

5x5=25

6x6=36

Answer: 1. 1/15

              2. 3/10

              3. 1/6

              4. 3/10

Step-by-step explanation:

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit

One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.

Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.

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Answer:

option D

Step-by-step explanation:

5c(3c²)³

5c(27c^6)

135c^7

Answer:

11 by 2

Step-by-step explanation:

Answer:

the answer would be 4m

hope this helped

Answer:

4m

Well there's 4 m's being added so to put it in simple terms, it would be 4m.