My teacher says everything is there to answer this question but I don't know. Someone please explain.

Two travellers spend from 12 o'clock to 6 o'clock walking along a level road, up a hill and back again. Their pace is 4 mph on the level, 3 mph uphill, and 6 mph downhill.

How far do they walk and at what time do they reach the top of the hill?

Diannas current age is what your being asked to find

Diannas age is the unknown in the problem

The given relatioships can be written in terms of diannas current age

Answer:Yes, the products are equal because of commutativity. To find the product, use distributive law. Just simplify the below:

-2x^3(x^3-3x-4) + x(x^3-3x-4) - 5(x^3-3x-4)

Step-by-step explanation:

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

We have been given a triangle and we are asked to solve for x using angle bisector theorem.

Angle bisector theorem states that if a ray bisects an angle of a triangle, then it divides the opposite side of triangle into segments that are proportional to the other two sides.

Using angle bisector theorem we can set an equation as:

[tex]\frac{4x+1}{5}=\frac{15}{3}[/tex]

Let us solve for x by multiplying both sides of our equation by 5.

[tex]\frac{4x+1}{5}*5=\frac{15}{3}*5[/tex]

[tex]4x+1=5*5[/tex]

[tex]4x+1=25[/tex]

Let us subtract 1 form both sides of our equation.

[tex]4x+1-1=25-1[/tex]

[tex]4x=24[/tex]

Upon dividing both sides of our equation by 4 we will get,

[tex]\frac{4x}{4}=\frac{24}{4}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6 units.

Answer:

Option: A is correct (congruent triangles)

Step-by-step explanation:

To prove that he diagonals of a parallelogram bisect each other we have to go through the following steps:

Hence we have to use the concept of congruent triangles in order to prove that the diagonals of a parallelogram bisect each other.

Hence, option A is correct

Answer:

100

Step-by-step explanation:

Answer:

So I am going one is kind of the same but it says six units and then it says the area of each triangle is 16 square units and I was trying to follow the step-by-step explanation from somebody else and I got 52 but I don’t know if I did that right

Step-by-step explanation:

The required rate of wingbeats per second is 92.

A Hummingbird moves its wings at a rate of 5520 wingsbeats a minute. Write this rate in wingbeats per second?

Rate of change is defined as the change in value with rest to the time is called rate of change.

given rate = 5520 wingsbeats a minute.
      now to convert it in seconds divide it by 60

= 5520/60
= 92 wingsbeats a second

Thus, The required rate wingbeats per second is 92.

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To demonstrate that 3/4 and 7/8 are not equivalent, Brady can use fraction strips to visually compare the colored portions of the strips, which will clearly show that 7/8 is greater than 3/4 as it has more colored sections.

To show that 3/4 and 7/8 are not equivalent using fraction strips, Brady can follow these steps:

Brady will observe that the strip representing 7/8 has more colored sections than the strip representing 3/4, even though the strips are the same length. This visual comparison confirms that 3/4 is less than 7/8, thus they are not equivalent fractions. The fraction 7/8 is only one-eighth away from being a whole, whereas 3/4 is one-fourth away.

Answer:  The required value of x is 2 or -12.

Step-by-step explanation:  We are given to solve for x in the following equation :

[tex]x^2+10x+12=36~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We will be solving the given equation by the method of factorization.

From equation (i), we have

[tex]x^2+10x+12=36\\\\\Rightarrow x^2+10x+12-36=0\\\\\Rightarrow x^2+10x-24=0\\\\\Rightarrow x^2+12x-2x-24=0\\\\\Rightarrow x(x+12)-2(x+12)=0\\\\\Rightarrow (x-2)(x+12)=0\\\\\Rightarrow x-2=0,~~~~~~x+12=0\\\\\Rightarrow x=2,~-12.[/tex]

Thus, the required value of x is 2 or -12.

The lengths 1.5 cm, 3 cm, and 1.5 cm cannot form a triangle because the sum of the lengths of the two shorter sides is equal to the length of the longest side, which does not satisfy the Triangle Inequality Theorem.

The question asks if lengths 1.5 cm, 3 cm, and 1.5 cm can form a triangle, and if so, what kind of triangle it would be. To determine whether these lengths can form a triangle, we use the Triangle Inequality Theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

For these lengths:

We see that when we add the lengths of the two shorter sides (1.5 cm + 1.5 cm), it equals the length of the longest side (3 cm). According to the Triangle Inequality Theorem, the lengths do not meet the condition for forming a triangle because the sum must be greater than, not equal to, the length of the third side. Therefore, these lengths cannot form a triangle.

The 5479th digit is 2.

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

How many groups will be created, for instance, if 30 students need to be separated into groups of five for a sporting event? The division operation can be used to quickly and easily fix such issues. In this case, we must divide 30 by 5.

given:

8 digits written in that same order ( 8,7,6,5,4,3,2,1 ) over and over again

So, we have to find 5479th digit

= 5479/8

= 684 7/8

Now, The 684 quotient tells us how many complete times the sequence goes through the cycle of  8,7,6,5,4,3,2,1, and the 7 remainder tells us which member of the cycle is the 5479 digit.

Since the 7th member of the cycle is 2.

Hence, the 5479th digit is 2.

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The given conditions suggest a second-degree polynomial of form p(x) = ax^2 + bx + c. By solving the given conditions a = 5, b = -3, and c = 3, yielding the polynomial p(x) = 5x^2 - 3x + 3.

The question is asking for a second-degree polynomial, which can generally be written in the form p(x) = ax^2 + bx + c. Given that p(1) = 5, that means a + b + c = 5. The derivative of p(x), p'(x) = 2ax + b, and p'(1) = 7, so 2a + b = 7. The second derivative, p''(x) = 2a, and p''(1) = 10, so 2a = 10 or a = 5. We can substitute a = 5 into the first two equations to find the values of b and c. So, b = -3 and c = 3. Therefore, the original function is p(x) = 5x^2 - 3x + 3.

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Final answer:

The probability that Nancy is a robber given Bob's identification is around 33.2%, considering Bob's accuracy and the base rate of robbers in the population.

Explanation:

Probability Calculation:

To find the probability that Nancy is a robber given Bob's identification, we use Bayes' Theorem. Given that Bob is 99% accurate in identifying suspects, the calculation reveals that the probability that Nancy is a robber is around 33.2%.

Base Rate Fallacy: It is crucial to consider the base rate of robbers in the population to avoid common statistical errors in interpreting the probability of an event.