Question 10 of 10
Which facts are true for the graph of the function below?
Check all that apply.
F(X)=(2/5)^x

We can see here that the Pythagorean theorem can help one determine whether the roped off area is in the shape of a right triangle because the converse of Pythagorean Theorem is actually used to prove that a triangle is a right triangle.

Let's understand the definition and meaning of  Pythagorean Theorem.  Pythagorean Theorem is actually seen as the fundamental concept that is used to describe the relationship that exists  between all the sides of a right-angled triangle.

The theorem actually states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the two shorter sides, and "c" is the length of the hypotenuse.

When we don't know that a triangle is a right-angle triangle, we use the converse to prove it.

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Answer:

Hope you can understand my handwriting though

Answer:

c

Step-by-step explanation:

Answer:

C) c = 5 ( 3.5b + 10 )

Step-by-step explanation:

This is because the shop will charge a flat rate of $10 per visit. Then it will charge $3.5 per bowl. Hence the equation; (3.5b + 10) is formed. Finally, if one goes there 5 times, they will have to multiply this equation by 5 to find the total cost. Henceforth, C) is the only correct answer.

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

Yes, he is able to make it in time.

Step-by-step explanation:

He has 45 minutes to travel .5 km and is moving at 12.5 m/min

Multiply 12.5 by 45 = 562.5m convert to km

So he is able to travel up to .562 km in 45 minutes

Answer:

B and E

Step-by-step explanation:

the graph (Justine) shows the line

y = 2x

the line for Velma is

y = 4x

now we need to remember that the slope (inclination) of a line is the factor of x (so, 2 and 4 in the two line equations).

a slope is expressed as y/x and indicates how many units y changes when x changes a certain amount of units (like 1).

as described (and also confirmed by the graph) the x units are minutes, and the y units are meters.

so, as per her slope, Velma moves 4 meters in 1 minute.

and Justine moves 2 meters in 1 meter.

so, Justine is half as fast as Velma.

and therefore, Justine moves a shorter distance than Velma each minute.

Answer:

Step-by-step explanation:

B and E

Solution

Part a

Part b

For this case we can do this:

Fx= 585 N* cos 80= 101.58 N

Fy= 585N * sin 80= 576.11 N

Then the best answer is:

B. (102, 576) N

Answer:

2 Batch Of Cakes

Step-by-step explanation:

See:

Recipe Requirements for 1 Batch:

2 cups of Flour

1/2 cup of Butter

3/4 cup of Sugar

She Has:

8 Cups of Flour

2 Cups of Butter

2 Cups of Sugar

1 batch:

Ingredient : Required - Present

Flour : 2 Cups - 8 Cups

Butter : 50% of 1 Cup - 2 Cups

Sugar : 75% of 1 Cup - 2Cups

Left ingredients:

Flour : 6 Cups

Butter : 1.5 Cups

Sugar : 1.25 Cups

2 batch:

Ingredient : Required - Present

Flour : 2 Cups - 6 Cups

Butter : 50% of 1 Cup - 1.5 Cups

Sugar : 75% of 1 Cup - 1.25 Cups

Left ingredients:

Flour : 4 Cups

Butter : 1 Cup

Sugar : 0.5 ( 1/2 ) Cups

3 Batch:

We Cannot Make The 3rd Batch as There is no sufficient Sugar

Answer:

Stella can only make 1 bear every 2 days. she can make about half a bear per day

The probability that none of them is defective is 0.9999998976

The given parameters are

P(defective product) = 4%

Number of selected product = 5

Rewrite the parameters as

p = 4%

n = 5

The probability that all of the selected 5 products is defective is

P(n) = p^n

So, we have

P(5) = (4%)^5

The probability that none of them is defective is the complement of the above probability

So, we have

P' = 1 - (4%)^5

Evaluate

P' = 0.9999998976

Hence. the probability that none of them is defective is 0.9999998976

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The equation of remaining chocolate C  in terms of t is C = 30 - 3t.

A mathematical statement called an equation demonstrates the balance or equality of two expressions. It contains of variables, integers, and mathematical operations and is denoted by the equal symbol (=). Equations may be solved to determine unknown values and are used to express relationships between various quantities. To solve for x in the equation 2x + 3 = 7, for instance, remove 3 from both sides, which gives 2x = 4, then divide both sides by 2, which gives x = 2.

Given that,

Initial number of chocolates in box = 30

Also given that after 8 nights, number of remaining chocolates = 6

Implies that,

In 8 nights, 24 chocolates were treated.

In 1 night, 3 chocolates were treated.

The equation of remaining chocolate C  in terms of t can be written as

C = 30 - 3t.

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We have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

To prove that the Newton-Raphson method for solving the equation \(x^k e^x = 0\), where k is a constant, is given by the formula

\(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n,\)

we can start by considering the iterative process of the Newton-Raphson method.

Given an initial guess \(x_n\), we want to find a better approximation \(x_{n+1}\)that is closer to the root of the equation \(x^k e^x = 0.\)

The Newton-Raphson method involves the following steps:

Calculate the function value \(f(x_n) = x_n^k e^x_n\) and its derivative \(f'(x_n) = k x_n^(k-1) e^x_n.\)

Find the next approximation x_{n+1} by using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Let's apply these steps to our equation \(x^k e^x = 0\):

Calculate the function value and its derivative:

\(f(x_n) = x_n^k e^x_n\\f'(x_n) = k x_n^(k-1) e^x_n\)

Find the next approximation x_{n+1} using the formula:

\(x_{n+1} = x_n - f(x_n) / f'(x_n)\)

Substituting the function value and its derivative:

\(x_{n+1} = x_n - (x_n^k e^x_n) / (k x_n^(k-1) e^x_n)\\= x_n - (x_n^k / k)\)

Simplifying the expression by combining like terms:

\(x_{n+1} = x_n - (x_n^k / k)\\= x_n - x_n^k / k\\= (k - 1) x_n + x_n^2 / k + x_n\)

Therefore, we have proved that the Newton-Raphson iteration formula for solving the equation\(x^k e^x = 0\) is given by \(x_{n+1} = (k - 1) x_n + x_n^2 / k + x_n.\)

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Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer:

5 I think . 5 5. 5 5 5 5 5 5

Step-by-step explanation:

its 5. 5 55.

Answer:

9,-7 hope this helps :))))))))

The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.

The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.

The value of y is 23.

The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.

Thus, the value of x is 15 degrees.

The value of 12z is 45 degrees.

Thus, the required value of z is 3.75 degrees.

Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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Answer:

Step-by-step explanation:

The distance between two numbers on the real number line is simply the absolute value of their difference. So, to find the distance between the numbers a = 12 and b = 3, we calculate:

distance = |a - b| = |12 - 3| = |9| = 9

Therefore, the distance between the numbers a = 12 and b = 3 on the real number line is 9 units.

Answer:

Step-by-step explanation:

12.1+|-11|=12

1. The amplitude is 1

2. The period is 2π

3. The phase shift is 90

4. The vertical shift is 0

5. The graph is attached

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

y = sin[θ + 90)

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

So, we have

Amplitude = 1

Period = 2π/1

Phase shift = 90

Vertical shift = 0

Evaluate

Amplitude = 1

Period = 2π

Phase shift = 90

Vertical shift = 0

Hence, the amplitude is 1 and the period is 2π

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The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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Answer:

7 + 2 = 9, so AC = 7/9 and CD = 2/9

1 + 2 = 3, so AB = 1/3 = 3/9 and

BD = 2/3 = 6/9

AB + BC = AC

3/9 + BC = 7/9, so BC = 4/9

AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2

Answer:

5

Step-by-step explanation:

13 + (-8) = 5

Answer: x=-4

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

Step 1: Flip the equation.

2x + 16 = 8

Step 2: Subtract 16 from both sides.

2x + 16 − 16 = 8 − 16

2x = −8

Step 3: Divide both sides by 2.

x = −4

Answer:

there is no table

Step-by-step explanation:

if you want an answer put the table next time

Answer:

(2x+1)(3x-8)=

all you have to do is plug into calculator

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I. False. Consider y = 3 and x = 4.

II. False. Consider x = 1.

III. False. Consider x = -2.

Answer:

x= -1/95

Step-by-step explanation:

Step 1: Subtract 110x from both sides.

15x+8−110x=110x+9−110x

−95x+8=9

Step 2: Subtract 8 from both sides.

−95x+8−8=9−8

−95x=1

Step 3: Divide both sides by -95.

−95x

−95

=

-1/95

x=

−1/95

Using distributive property the solution of the equation is x= −1/95

The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is

A(B + C) = AB + AC

This property is known by distributive law and applies to subtraction also.

Given that the equation; 15x + 8 = 110x + 9.

Step 1: Subtract 110x from both sides.

15x + 8 − 110x = 110x + 9 − 110x

−95x + 8 = 9

Step 2: Subtract 8 from both sides;

−95x + 8 − 8 = 9 − 8

−95x = 1

Step 3: Divide both sides by -95;

x= −1/95

Hence, Using distributive property the solution of the equation is x= −1/95

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Answer: 2.72 i guess