simply : b2 • b3 • b
(• = divide)

Answer:

x = 40

Step-by-step explanation:

for m and n to be parallel then

2x and 80 are alternate angles and congruent , so

2x = 80 ( divide both sides by 2 )

x = 40

Answer:

I hope this helped!

Answer:

45

Step-by-step explanation:

((100-25)/100)× 60 is the correct answer

Answer:

56

Step-by-step explanation:

Answer:

80 units squared

Step-by-step explanation:

well first you get the area of the big rectangle, 8x12=96

then you need to get the area of the light sqaure, because there is the same amount of ticks 3 times, the equal lengths are 12/3= 4 units each so the dimensions of the sqaure are 4 by 4 4x4=16 then you do 96-16= 80 units squared.

Answer:

          Statement                                                      Reason

The height in which the weight is lifted is given as h = (P x δt) / m

The work done in lifting a weight is given by:

W = F x d

where F is the force required to lift the weight and d is the distance through which the weight is lifted.

The force required to lift the weight is equal to its weight, which is given by:

F = m x g

where m is the mass of the weight and g is the acceleration due to gravity.

The distance through which the weight can be lifted is given by:

d = h

where h is the height to which the weight is lifted.

If the energy used to lift the weight is given by p, and δt is the time taken to lift the weight, then the power used is given by:

P = p / δt

We can use the formula for power to express the force in terms of p and δt:

P = F x v = F x d / δt

F = P x δt / d

Substituting the expressions for F and d into the formula for work, we get:

W = (m x g x h) = (P x δt x h) / d

Solving for h, we get:

h = (P x δt x d) / (m x g)

Substituting the expression for d (d = h), we get:

h = (P x δt x h) / (m x g)

Multiplying both sides by (m x g), we get:

h x m x g = P x δt x h

Dividing both sides by (m x g), we get the final equation:

h = (P x δt) / m

Therefore, the height to which the weight can be lifted (h) in terms of p, δt, and m is given by:

h = (P x δt) / m

where P is the power used to lift the weight, δt is the time taken to lift the weight, and m is the mass of the weight.

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Answer:

The code is 8415

Step-by-step explanation:

The point of partition of the line segment AB in the ratio 2:3 with endpoints at A(9,5) and B (4,-5) is (7,1) .

What is Partition ?

The Simple words Partition means to separate or to divide . and

we know that , the point of partition of the line segment AB in the ratio a:b , can be calculated using the formula :

\(P=\frac{bA+aB}{a+b}\) ;

Substituting the values of end points A(9,5) and B (4,-5) and the ratio \(a=2\) , \(b=3\) ,

we get ;

P = \(\frac{3(9,5) +2(4,-5)}{2+3}\) = \(\frac{(27,15) + (8,-10)}{5}\) = \(\frac{(35,5)}{5}\) ;

Simplifying further ,

we get ;

P = (7,1) .

Therefore , the point of partition P is (7,1) .

The given question is incomplete , the complete question is

How do I find the point that partitions the segment AB into a 2:3 ratio with endpoints at A(9,5) and B (4,-5) ?

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Step-by-step explanation:

Value of car after 1st year=35,000 - (35000 × 18/100)

= 35,000 - ( 35,000 × 0.18)

= 35,000 - 6,300

= 28,700.

This means that annually (every year), the price of the car decreases by 6,300.

The value of the car when it's ten years is

= 35,000 - 10(6300)

= 35,000 - 63,00

= -28,000

Answer:

2nd box 2/5y and -0.2y

last box -6 and -2

Step-by-step explanation:

Answer:

The coordinate of T is -3:2

Answer:

T' (3, -2) i believe.

Step-by-step explanation:

hope this helps!

Answer:

Bottom left

Step-by-step explanation:

It covers the most points

Answer:

The price per serving is $0.315, therefore, it's less than $0.5

Step-by-step explanation:

In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:

\(price_{cup} = \frac{3.8}{9} = 0.42\)

Since each serving is \(\frac{3}{4}\) of a cup, then it's price has the same proportion and is given by:

\(price_{serving} = \frac{3}{4}*0.42 = 0.315\)

The price per serving is $0.315, therefore, it's less than $0.5

Answer:

2 terms the terms are x and y

Answer:

Cry Shape Hearty

Step-by-step explanation:

Cry Shape Hearty

Answer:

Option 2 and option 4 are linear equations.

Step-by-step explanation:

We know the linear equation of the form

\(y=mx+b\)

where m is the slope and b is the y-intercept.

We also need to check that the equation must not have any exponent.

In other words, the degree of a linear equation must be 1.

Let us check whether the given equations are linear or not.

Option 1)

Given the equation

The given equation is a non-linear equation because the exponent of the variable y is -1. i.e. y⁻¹.

Option 2)

Given the equation

simplifying to write in the form y=mx+b

8y-2y = 7x-4

6y = 7x-4

y = 7/6x - 2/3

Thus, 7x-8y=4-2y is a linear equation

Option 3)

Given the equation

Please note that the term involving xy has degree two. Thus, it is not a linear equation.

Option 4)

Given the equation

simplifying to write in the form y=mx+b

y = -1/5x+3

m = -1/5, b=3

Thus, y+1/5x=3 is a linear equation.

Thus, option 2 and option 4 are linear equations.

Answer:22,000

Explanation:

21.933=21.930

21.930= 21.900

21.900 = 22,000

To determine whether the given segments can form a triangle, we need to calculate the sums of the lengths of the two shortest sides and compare them to the length of the longest side.

To determine whether the given segments can form a triangle, we need to apply 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.

If we add up the lengths of the two shortest sides and compare them to the length of the longest side, we can determine whether the given segments satisfy the Triangle Inequality Theorem.

If the sum of the two shortest sides is greater than the length of the longest side, then the segments can form a triangle. If the sum of the two shortest sides is equal to the length of the longest side, then the segments can form a degenerate triangle (a triangle with zero area). If the sum of the two shortest sides is less than the length of the longest side, then the segments cannot form a triangle.

If the sum is greater than the length of the longest side, then the segments can form a triangle. If not, they cannot form a triangle.

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Answer:

use the cymath calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+11=-5

x=-16

The solution to the general exponential equation a(b)^x = d using logarithms is x = logb[d/a]

To solve the exponential equation a(b)^x = d, we can use logarithms.

Divide both sides by a

So, we have

b^x = d/a

Taking the logarithm of both sides of the equation, we get:

log[b^x] = log[d/a]

Using the logarithmic property that logb(c^d) = d logb(c), we can simplify the left-hand side of the equation:

xlog(b) = log[d/a]

Divide both sides by log(b)

x = logb[d/a]

Hence, the solution is x = logb[d/a]

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The smallest and largest possible values of ||v − w|| are 3 and 11, respectively. The smallest and largest values of v · w are 0 and 28, respectively.

The magnitude of a vector is a measure of its length or size. In mathematics, it is represented by two vertical bars surrounding the vector symbol, for example, ||v||.

In this case, we have two vectors, v and w, with magnitudes ||v|| = 7 and ||w|| = 4.

When the vectors v and w point in the same direction, the magnitude of their difference is at its minimum. In this case, ||v − w|| = ||v|| − ||w|| = 7 − 4 = 3.

On the other hand, when the vectors v and w point in opposite directions, the magnitude of their difference is at its maximum. In this case, ||v − w|| = ||v|| + ||w|| = 7 + 4 = 11.

Next, let's consider the dot product of v and w, also known as the scalar product. The dot product of two vectors is a scalar value that is proportional to the magnitudes of the vectors and the cosine of the angle between them.

The smallest possible value of the dot product of v and w is 0, which occurs when they are orthogonal or perpendicular to each other. The largest value of the dot product of v and w is equal to the product of their magnitudes, which occurs when they are parallel. In this case, the largest value of v · w is v · w = ||v|| * ||w|| = 7 * 4 = 28.

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Answer:

x<7

Step-by-step explanation:

The app Photomath can solve these questions for you, all you have to do is scan it and then it solves it for you! :D

In the object-oriented programming paradigm, a class invariant is a property that must always be true for any instance of a class. It is a condition or a set of conditions that must be maintained by all member functions for the proper functioning of a class.

A class invariant, therefore, is a formal statement of the rules that dictate how the member variables of a class are used. All member functions (with the exception of constructors) can depend on the invariant being valid when the function is called. Each function is also responsible for ensuring that the invariant is valid when the function finishes.

The invariant represents an important constraint that must be maintained in a class. As a result, a well-defined class invariant is important for the stability and reliability of the class.

The class invariant may be a single condition or a set of conditions that need to be maintained for the class to operate correctly. These conditions may be explicitly stated in the class documentation or in the form of assert statements in the class implementation. The invariant may be as simple as a range constraint or as complex as a logical relationship between multiple variables.

In any case, the invariant must be maintained by all the member functions of the class. the invariant of a class is a set of rules that govern how the member variables of a class are used. It is a condition that must always be true for any instance of a class. The invariant is important for the stability and reliability of a class, and each member function is responsible for ensuring that the invariant is valid when the function finishes.

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Answer:

The letter t occurs more than 26 times on approximately 420 of these pages.

Step-by-step explanation:

1 standard deviation below mean = M - SD

                                                      = 44 - 18 = 26

This implies that that "26" is 1 s.d. below the mean, which is at the 16th percentile.

Thus,  there is a 0.16 chance that "t" will occur less than 26 times on any single page.

consequently, there is a 0.84 chance that it will occur more than 26 times on any single page.

We'll use 3/8 cup of macadamia nuts.

Describe ratios.

A ratio is defined as a/b where b is not equal to 0. Since a and b are separate portions of the two values, the total combined amount is expressed as (a + b).

Given:

3/4 cup of macadamia nuts are used in a banana macadamia nut bread recipe that Vincent created. We are aware of this based on the information provided.

The quantity of nuts needed if he decides to make only half the recipe is:

used macadamia nuts = 1/2 * 3/4

used macadamia nuts =3/8

Therefore, there will be 3/8cup of Macadamia nuts utilized.

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The correct question is given below

"Vincent found a recipe for banana macadamia nut bread that uses 3/4 cup of macadamia nuts. If he only wants to make half the recipe, how many cups of macadamia nuts should be use?"

The time length of the warranty should be approximately 1.515 times the mean life of the timepiece. To calculate the time length of warranty so that only 1.9% of the the quartz timepieces will be replaced before warranty expires, we use the formula: P(X ≤ x) = 0.019 Where P(X ≤ x) is the probability of failure before the warranty expires.

Let X be the number of months after purchase before a timepiece fails, and let m be the mean life of a timepiece. Then, the standard deviation of the life of a timepiece is σ = 0.25m (given). Also, the probability that a timepiece fails before the warranty expires is 0.019, which means that the probability of success is 1 - 0.019 = 0.981.

Using the standard normal table, we can find the Z-score such that the area to the left of Z is 0.981. From the table, we find that Z ≈ 2.06 (rounded to two decimal places).Therefore, Z = (x - m) / σ implies

x = σZ + m

≈ 0.515m + m

= 1.515m (since σ = 0.25m and Z = 2.06).

Thus, the time length of the warranty should be approximately 1.515 times the mean life of the timepiece.

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The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Borrowers choosing an adjustable-rate mortgage often pay a lower interest rate during the first few years.

Option C is the correct answer.

We have,

When borrowers choose an adjustable-rate mortgage (ARM), they typically enjoy an initial period with a lower interest rate compared to a fixed-rate mortgage.

This initial period is often referred to as the "teaser rate" or "introductory rate." However, after this initial period, the interest rate on the ARM can fluctuate periodically based on changes in a specified financial index, which can result in higher or lower interest rates in subsequent years.

Borrowers who choose an ARM are exposed to the risk of interest rate fluctuations, which can lead to higher monthly payments in the future if interest rates rise.

Thus,

Borrowers choosing an adjustable-rate mortgage often pay a lower interest rate during the first few years.

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