Use the change-of-base rule to estimate the value of the logarithm to four decimal places: logs 0.902

The rule is

Check third option

\(\\ \rm\bull\rightarrowtail 15+26=41<42\)

Option C is correct

Answer:

(15, 26, 42)

Step-by-step explanation:

Sides of a triangle rule:  the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

(8, 1, 18)

8 + 11 = 19 > 18

11 + 18 = 29 > 8

8 + 18 = 26 > 11

Therefore, this is a triangle

(6, 9, 12)

6 + 9 = 15 > 12

6 + 12 = 18 > 9

9 + 12 = 21 > 6

Therefore, this is a triangle

(15, 26, 42)

15 + 26 = 41 < 42

15 + 42 = 57 > 26

26 + 42 = 68 > 15

Therefore, this is NOT a triangle

(13, 19, 31)

13 + 19 = 32 > 31

13 + 31 = 44 > 19

19 + 31 = 50 > 13

Therefore, this is a triangle

Answer:

The characteristics of a proportional relationship are: 1) It is a straight line; 2) the line goes through the origin of (0,0); and 3) the unit rate is (1,r).  It most have all three.

Step-by-step explanation:

Ms. murphy has to create a relay team in 3024 ways.

What is combination?

A combination is a collection of components produced under a certain set of constraints and conditions.

Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organize anything here. We are going to choose them. We use the symbols n C r to represent the number of distinct r-selections or combinations among a set of n items.

As given, Ms murphy has to select 4 swimmers out of 9  swimmers to create a relay team.

By using the combination formula we can find the number of ways to create a relay team.

\(C^{n}_r = \frac{n!}{(n-r)!}\)

Where,

n is the number of all objects and r is a number of selected objects.

Here, n = 9 and r = 4.

So,

\(C^{9}_4 = \frac{9!}{(9-4)!} = \frac{9!}{5!} = \frac{x}{y} = 3024\)

Therefore, she create a relay team in 3024 ways.

To know more about the combination, click on the link

https://brainly.com/question/1941169

#SPJ4

Performance relative to the whole class refers to an individual's academic achievement in comparison to the rest of their peers in a particular subject or course.

We describe performance relative to the whole class.

To do this, we'll be using the terms "average", "percentile rank", and "standard deviation".
Average:

Calculate the average performance of the whole class by adding all students' scores and then dividing by the number of students.

This will give you a baseline to compare individual performances against the class average.
Percentile Rank:

Determine the percentile rank of a student by calculating the percentage of students in the class who scored lower than them.

For example, if a student is in the 75th percentile, it means they performed better than 75% of the class.
Standard Deviation:

Calculate the standard deviation, which measures the spread of scores within the class.

A low standard deviation indicates that most students have similar performances, while a high standard deviation shows more variability in scores.
By considering these three factors, you can effectively describe a student's performance relative to the whole class. For example, you might say: "John scored above the class average, placing him in the 80th percentile with a moderate standard deviation, indicating that his performance is better than the majority of his classmates."

For similar question on standard deviation.

https://brainly.com/question/28426562

#SPJ11

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

108 cm^2

Step-by-step explanation:

SA = PH + 2 * 1/2bh

SA = (3 + 4 + 5)(8) + 2 * (1/2) * 3 * 4

SA = 96 + 12

SA = 108

Answer: 108 cm^2

If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend $10.65

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

The cost of one gallon of gas =$2.57

The quantity of gas she puts in the tank = 4.145 gallons

Apply unitary method

Then, the cost of 4.145 gallons of gas = Cost of one gallon of the gas × Quantity of gas

The cost of 4.145 gallons of gas= 2.57×4.145= $10.65

Hence, If Naya is filling up the gas tank in her motorcycle she puts 4.145 gallons of gas in the tank if the gas cost $2.57 per gallon then she spend  $10.65

Learn more about unitary method here

brainly.com/question/28276953

#SPJ4

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

To know more about normal probability distribution,

https://brainly.com/question/33601330

#SPJ11

Answer: slope is -4  y intercept is (0,-8)

Step-by-step explanation: you have to use the slope intercept form y = mx + b to find the slope and y intercept

Answer:

8 yards per sec

Step-by-step explanation:

brainliest plz

To find an equation of the plane we use the fact that parallel planes have the same normal vectors. The normal vector of the given plane is (2, -1, 3) and the point is  (2.1, 1.7, -0.9), so the equation of the desired plane is  2(x - 2.1) - (y - 1.7) + 3(z + 0.9) = 0.

Two parallel planes have the same normal vector. The given plane 2x - y + 3z = 1 has a normal vector (2, -1, 3). We can use this normal vector to determine the equation of the desired plane. Let's denote the equation of the desired plane as Ax + By + Cz + D = 0.

Since the desired plane is parallel to the given plane, they share the same normal vector. Therefore, the coefficients A, B, and C in the equation of the desired plane will be the same as the coefficients in the equation of the given plane. Hence, A = 2, B = -1, and C = 3.

To find the constant term D, we substitute the coordinates of the given point (2.1, 1.7, -0.9) into the equation of the desired plane: 2(2.1) - (-1)(1.7) + 3(-0.9) + D = 0. Solving this equation gives D = -2.1 + 1.7 - 2.7 = -3.1.

Putting it all together, the equation of the plane through the point (2.1, 1.7, -0.9) and parallel to the plane 2x - y + 3z = 1 is 2x - y + 3z - 3.1 = 0.

Learn more about parallel here

brainly.com/question/22746827

#SPJ11

Answer:

You have 3.5 Servings.

Step-by-step explanation:

1/4 x 4 = 4/16

14/4 = 3.5

Build-borrow-or-buy.

The build-borrow-or-buy framework is a conceptual model used by strategists to help them decide whether to build capabilities internally, borrow them through partnerships and alliances, or buy them through mergers and acquisitions. The framework helps organizations identify the most efficient and effective way to acquire the resources, capabilities, and competencies they need to achieve their strategic goals. It is a useful tool for decision-making when considering growth strategies, and can help managers evaluate the costs, risks, and benefits of each option.

To know more about costs visit :

https://brainly.com/question/30045916

#SPJ11

(a) build-borrow-or-buy. This framework helps strategists decide whether to pursue internal development, enter into an alliance, or acquire new resources, capabilities, and competencies.

the build-borrow-or-buy framework suggests that companies have three options when it comes to acquiring new resources and capabilities. First, they can build or develop these resources and capabilities internally through investments in research and development or employee training. Second, they can borrow or enter into strategic alliances with other companies to gain access to new resources and capabilities. Finally, they can buy or acquire companies that already possess the desired resources and capabilities.

the build-borrow-or-buy framework provides a structured approach for companies to evaluate their options when it comes to acquiring new resources and capabilities. By considering the pros and cons of each option, companies can make more informed decisions that align with their strategic goals and objectives.


The build-borrow-or-buy framework is a conceptual model that helps strategists decide whether to seek internal development (build), enter into an alliance (borrow), or acquire new resources, capabilities, and competencies (buy). This model assists organizations in evaluating their options for growth and resource allocation based on their strategic goals and objectives.

the build-borrow-or-buy framework is a valuable tool for strategists when choosing between internal development, alliances, or acquisitions to achieve their organization's growth and resource needs.

To learn more about Second: visit

https://brainly.com/question/24237610

#SPJ11

A chart that describes a company's formal structure is called an Organizational chart.

An organizational chart is a visual representation of an organization's structure. It illustrates how individual employees, teams, and tasks fit into the broader framework. It is also known as an organization chart or org chart. This type of chart depicts reporting relationships, responsibilities, and roles within an organization in a hierarchical arrangement.

learn more about  organizational chart

https://brainly.com/question/33118072

#SPJ11

Answer:

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.

Answer:

No

Step-by-step explanation:

All parallelograms are not a kite.

A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.

( See the attached image )

0.38 is 7/18 (filling space)

Answer:

0.388888889

Step-by-step explanation:

After solving the quadratic equation x² + 3x = 40 using the quadratic formula, (A)  x = –8, x = 5  

We can solve this quadratic formula by following a few steps.

The given equation is,

x² + 3x =40

Let's subtract 40 from both sides,

x² + 3x - 40 =40 - 40

Or, x² + 3x - 40 = 0

Now, we have to find a suitable pair of factors of -40 which is capable to generate +3 ( coefficient of x ).

The required pair is 8 and -5, and ( 8 - 5 ) = 3    

[ -40 = 8 × -5 ]

Therefore, x² + 3x - 40 = 0

Or, x² + ( 8 - 5 )x - 40 = 0

Or, x² + 8x - 5x - 40 = 0

Or, x ( x + 8 ) - 5 ( x + 8 ) = 0   [ taking x and 5  as common ]

Or, ( x + 8 ) ( x - 5 ) = 0            [ taking ( x + 8 ) as common ]

If the multiplication or product of two or more terms is zero, then we can write each term as zero.

               ( x + 8 ) = 0

               Or, x = -8        ( by subtracting 8 from both sides )

              ( x - 5 ) = 0

              Or, x = 5           ( by adding +5 with both sides )

Now, we can conclude that x = -8 and 5.    

To know more about quadratic equations visit,

https://brainly.com/question/17177510?referrer=searchResults

#SPJ9

Since the given line equation describes one of the parallel lines, we can determine the equation of the other parallel line by keeping the same slope but choosing a different y-intercept.

Given line equation:

y = (1/4)x - 1/2

To keep the same slope, we use the same coefficient of x, which is 1/4. Now, we can select a different y-intercept, let's say b.

The equation of the other parallel line can be represented as:

y = (1/4)x + b

In this equation, the only difference from the given line equation is the y-intercept, which we denoted as b. The value of b can be any real number, as long as it differs from -1/2 (the y-intercept of the given line).

Therefore, the equation of the other parallel line can be written as y = (1/4)x + b, where b can be any real number except -1/2.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

None are equivalent

Step-by-step explanation:

Step-by-step explanation:

Let :d=dimes and q=quarters

d=2-5(q)

Based on the given image, you can notice that the interval is in between -2 and 6. -2 is included as solution (black point) but 6 is not (white point), then, you can write:

The previous expression is the required inequality

The distance Leah would have to walk home is 1.5 miles

From the question, we are to determine the distance Leah will have to walk home

From the given information,

Price of journey in pounds = 3 + 2 × distance in miles

Let the distance be d

Then,

Price of journey in pounds = 3 + 2d

Since Leah has £5, we can write that

5 = 3 + 2d

5 - 3 = 2d

2 = 2d

∴ d = 2/2

d = 1 mile

This means her money can only cover 1 mile

But the journey to her home is 2.5 miles

Therefore, she will have to walk

2.5 mile - 1 mile  = 1.5 miles

Hence, the distance Leah would have to walk home is 1.5 miles

Learn more on Calculating distance here: https://brainly.com/question/14294518

#SPJ1

The solution is shown in the attached photo

Answer:

23

Step-by-step explanation:

30/3 + 13/1

23

Answer:

the order is 30,60,90,120

Step-by-step explanation:

its ten times 3 then u just keep adding the same amount every ten.

The required rectangular form of the given curve is,

6x(√(x² + y²)) + 9y(√(x² + y²)) = 7(x² + y²)

Here we have to write,

The polar equation in the rectangular form for the expression,

r = 7/(6cosθ + 9sinθ)

To rewrite the polar equation in rectangular form,

We can use the following identities,

cosθ = x/r

sinθ = y/r

Substituting these values into the equation, we get,

r = 7/(6cosθ + 9sinθ)

r = 7/[6(x/r) + 9(y/r)]

r = 7r/[6x + 9y]

r(6x + 9y) = 7r

6x r + 9y r = 7 r²

2x(3r) + 3y(3r) = 7r²

2x(\(3^{r}\)) + 3y(\(3^{r}\)) = 7(x² + y²)

Simplifying this expression, we get,

6x(√(x² + y²)) + 9y(√(x² + y²)) = 7(x² + y²)

Hence,

This is the rectangular form of the polar equation r = 7/(6cosθ + 9sinθ).

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ4

Answer:

Step-by-step explanation:

There we go :))

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.