Mrs simpson drove 105 miles in 2/1.2 hours what was mrs Simpson speed in miles per hour?

The ratio of the volumes of two similar solids with a ratio of 2:7 between the lengths of their edges is 8:343.

When two solids are similar, it means that they have the same shape but may have different sizes. The ratio between the lengths of their edges is given as 2:7. To find the ratio of their volumes, you need to follow these steps:

STEP 1. Understand the relationship between edge lengths and volumes: The volume of a solid is proportional to the cube of the length of its edges.

In mathematical terms, if the ratio of the edge lengths is a:b, then the ratio of their volumes is a^3:b^3.

STEP 2. Calculate the volume ratio: In this case, the ratio of the edge lengths is 2:7. So, to find the ratio of their volumes, you need to cube each term in the ratio:
  (2^3) : (7^3) = 8 : 343

Thus, the ratio of the volumes of the two similar solids is 8:343. This means that if one solid has a volume of 8 units, the other will have a volume of 343 units, maintaining their similarity in shape.

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Answer:

It is an obtuse triangle.

Step-by-step explanation:

To determine whether the triangle is right, acute, or obtuse, we can use the Pythagorean Theorem which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side.

Let's first determine which side is the longest.

48 is the largest of the three sides, so we'll use it as the hypotenuse.

Now we can apply the Pythagorean Theorem:

a^2 + b^2 = c^2

where a and b are the shorter sides and c is the hypotenuse.

Plugging in the values, we get:

46^2 + 20^2 = 48^2

2116 + 400 = 2304

2516 = 2304

Since 2516 is greater than 2304, we can see that the triangle is obtuse.

Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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The values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

To find the values of f(1), f(2), f(3), f(4), and f(5) for each given recursive definition, we can use the initial condition f(0) = 3 and the recursive formulas.

(a) f(n+1) = -2f(n):

Using the recursive formula, we can find the values as follows:

f(1) = -2f(0) = -2(3) = -6

f(2) = -2f(1) = -2(-6) = 12

f(3) = -2f(2) = -2(12) = -24

f(4) = -2f(3) = -2(-24) = 48

f(5) = -2f(4) = -2(48) = -96

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = -2f(n) are:

f(1) = -6, f(2) = 12, f(3) = -24, f(4) = 48, f(5) = -96.

(b) f(n+1) = 3f(n) + 7:

Using the recursive formula, we can find the values as follows:

f(1) = 3f(0) + 7 = 3(3) + 7 = 16

f(2) = 3f(1) + 7 = 3(16) + 7 = 55

f(3) = 3f(2) + 7 = 3(55) + 7 = 172

f(4) = 3f(3) + 7 = 3(172) + 7 = 523

f(5) = 3f(4) + 7 = 3(523) + 7 = 1576

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3f(n) + 7 are:

f(1) = 16, f(2) = 55, f(3) = 172, f(4) = 523, f(5) = 1576.

(c) f(n+1) = f(n)^2 - 2f(n) - 2:

Using the recursive formula, we can find the values as follows:

f(1) = f(0)^2 - 2f(0) - 2 = 3^2 - 2(3) - 2 = 1

f(2) = f(1)^2 - 2f(1) - 2 = 1^2 - 2(1) - 2 = -3

f(3) = f(2)^2 - 2f(2) - 2 = (-3)^2 - 2(-3) - 2 = 7

f(4) = f(3)^2 - 2f(3) - 2 = 7^2 - 2(7) - 2 = 41

f(5) = f(4)^2 - 2f(4) - 2 = 41^2 - 2(41) - 2 = 1601

So, the values for f(1), f(2), f(3), f(4), and f(

using the recursive formula f(n+1) = f(n)^2 - 2f(n) - 2 are:

f(1) = 1, f(2) = -3, f(3) = 7, f(4) = 41, f(5) = 1601.

(d) f(n+1) = 3^(f(n)/3):

Using the recursive formula, we can find the values as follows:

f(1) = 3^(f(0)/3) = 3^(3/3) = 3^1 = 3

f(2) = 3^(f(1)/3) = 3^(3/3) = 3^1 = 3

f(3) = 3^(f(2)/3) = 3^(3/3) = 3^1 = 3

f(4) = 3^(f(3)/3) = 3^(3/3) = 3^1 = 3

f(5) = 3^(f(4)/3) = 3^(3/3) = 3^1 = 3

So, the values for f(1), f(2), f(3), f(4), and f(5) using the recursive formula f(n+1) = 3^(f(n)/3) are:

f(1) = 3, f(2) = 3, f(3) = 3, f(4) = 3, f(5) = 3.

Note: In the case of (d), the recursive formula leads to the same value for all values of n.

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Step-by-step explanation:

Plug in 2x-4 in the function g(x)

\(g(f(x)) = {(2x - 4)}^{2} + 6 \\ \\ g(f(x)) = (2x - 4)(2x - 4) + 6 \\ = 4 {x}^{2} - 8x - 8x + 16 + 6 \\ g(f(x)) = 4 {x}^{2} - 16x + 22\)

HOPE THIS HELPS

The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.

A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.

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Using the concepts of  probability, we got that an experiment may have d) several events

Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.

In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.

An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.

Hence, an experiment may have d)several events

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If he has 3 gallons of juice ad we want to pour equal amount in 5 juices we have to divide 5 into 5

So he has to pour 0.6 gallons of juice in each glass

Answer:

44 is 4/5 out of 55 (44/55 = 4/5)

Step-by-step explanation:

55 can be divided into fifths.

1/5 = 11 or 11/55

11 x 4 = 44

Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3

-Bee~

To reflect the triangle AGH across the x-axis, we need to keep the x-coordinates the same but negate the y-coordinates. So, the new coordinates of G' (the image of G) would be (-2, -3), the new coordinates of H' would be (-1, -2), and the new coordinates of A' would be (-3, -1). Now, to find the coordinates of W, we need to determine the intersection of the lines GH' and A'G'. To do this, we need to first find the equations of these lines.

The equation of a line can be found using the slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept. To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:
m = (y2 - y1) / (x2 - x1) For line GH', the two points are G(-2, 3) and H'(-1, -2). So, the slope of GH' is: mGH' = (-2 - 3) / (-1 - (-2)) = -5 / 1 = -5

Since the slope is 0, the line is horizontal and its equation is simply y = -1 (which is also the y-coordinate of A').
Now, to find the intersection of GH' and A'G', we can set their equations equal to each other and solve for x:
the y-coordinate of W, we can plug x = -6/5 into either equation:
y = -5(-6/5) - 7 = 1
the coordinates of W are (-6/5, 1).

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Answer:

A. 8

Step-by-step explanation:

Given,

54° + 6x° = 102°

=> 6x = 102 - 54

=> 6x = 48

\( = > x = \frac{48}{6} \)

=> x = 8(Ans)

Answer:

The intercept of a line is the y-value of the point where it crosses the y-axis.

Step-by-step explanation:

Answer:

t = 8

Step-by-step explanation:

5t - 3t - 9 = 7

5t - 3t = 7 + 9

2t = 7+ 9

2t = 16    <- divide

Answer"

t = 8

Hope this helped

Brainliest is appreciated/

Hey there!☺

\(Answer:\boxed{t=2}\)

\(Explanation:\)

\(5t-9=-3t+7\)

Let's start by adding 3t to both sides of the equation.

\(5t-9+3t=-3t+7+3t\\8t-9=7\)

Now let's add 9 to both sides of the equation.

\(8t-9+9=7+9\\8t=16\)

Now let's divide both sides by 8.

\(\frac{8t}{8} =\frac{16}{8}\)

Now let's simplify 16/8.

\(16/8=2\)

\(t=2\)

Hope this helps!

In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

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Using the Fundamental Counting Theorem, it is found that Samantha has 24 different outfits to choose from.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with n1 ,n2 , n3, ..... nn ways to be done, each thing independent of the other, the number of ways they can be done is:

N= n1*n2*n3.....nn

In this problem:

For the pants, there are 2 options,  hence n1=2 .

For the t-shirts, there are 2 outcomes, hence n2=2.

For the shoes, there are 9 outcomes, hence  n3=6.

Thus, the total number of outfits is given by:

N = 2 x 2 x 6 = 24.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

All steps correct apart from the last one.

The student worked out the value of b = 4.4 but when finalizing the equation he subtracted 4.4 instead of adding:

Correct answer choice is D

Find the amount of the discount and divide by the original price:

30-20 = 10

10/30 = 0. 333

Multiply by 100 for percent:

0.333 x 100 = 33.3333%

Round the answer as needed.

Answer:

Percentage of Discount :---

\( \frac{(30 - 20)}{30} \times 100 = \frac{10}{30} \times 100=\boxed{33.33\%}\)

52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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(a) We will use the "t" as test-statistics and the value of "t" is t = -0.87.

(b) We will use "z" as the test-statistics and the value of "z" is z = -0.77.

In statistics, a test statistic is a numerical summary of a sample that is used to make an inference about a population parameter. It is calculated from the sample data and is used to test a hypothesis or to make a decision about some characteristic of the population.

Part (a) : In this case, we do not know the "standard-deviation",

the case in which standard-deviation is un-known, "t" is used as a "test-statistics.

The Standard-error-of-mean (SE) is = s/√n = 0.5/√19 = 0.1148.

So, "t" = (mean - 2.5)/SE,

Substituting the values,

We get,

t = (2.4 - 2.5)/0.1148 = -0.87.

Part (b) : In this case, we know the "standard-deviation",

The case in which standard-deviation is known, "z" is used as a "test-statistics.

The Standard-error-of-mean (SE) is = s/√n = 0.45/√12 = 0.1299.

So, "z" = (mean - 2.5)/SE,

Substituting the values,

We get,

z = (2.4 - 2.5)/0.1299 = -0.77.

Therefore, the value of "z" is -0.77.

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The given question is incomplete, the complete question is

We want to conduct a hypothesis test of the claim that the population mean time it takes drivers to react following the application of brakes by the driver in front of them is more than 2.5 seconds. So, we choose a random sample of reaction time measurements. The sample has a mean of 2.4 seconds and a standard deviation of 0.5 seconds.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a) The sample has size 19, and it is from a non-normally distributed population with an unknown standard deviation.

Which test-statistic will you use z, t or It is unclear which test statistic to use.

(b) The sample has size 12,and it is from a normally distributed population with an known standard deviation of 0.45.

Which test-statistic will you use z, t or It is unclear which test statistic to use.

The first step in developing a competency-model is to gather background information and analyze the existing standards within the workplace.

The first-step involves conducting a thorough examination of the organization's goals, strategies, and the specific job roles or positions for which the competency-model will be developed.

By gathering background information, organizations can understand the context in which the competency-model will be applied.

Analyzing existing standards within the workplace involves assessing the current performance expectations, competencies, and criteria used for evaluating employees in their respective roles.

The purpose of this step is to identify any gaps or areas for improvement in the existing standards and to ensure that the development of the competency model aligns with the organization's overall objectives.

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The first step in developing a competency model is conducting a job analysis.

developing a competency model is a systematic process that helps organizations define the key competencies needed for their employees. The first step in this process is conducting a job analysis.

A job analysis involves gathering information about the job, such as its purpose, tasks, responsibilities, and required qualifications. This information can be collected through methods like interviews, observations, and surveys. By analyzing the job, organizations can identify the critical competencies that are necessary for effective job performance.

These competencies can then be used to guide various HR processes, including recruitment, selection, training, and performance management. By aligning the competencies with job requirements, organizations can ensure that they have the right people with the right skills in the right positions.

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The required question of the given problem are solved below.

A distance-time graph shows how far an item has gone in a given time. It is a straightforward line diagram that signifies distance versus time discoveries on the chart. Distance is plotted on the Y-pivot. Time is plotted on the X-pivot.

1) he take 20 minutes to get to his friends house.

2) he stayed 60 - 20 = 40 minutes at his first friends house.

3) he take 70 - 60 = 10 minutes to ride his bike from his first friends house to his second friends house.

4) 30 minutes, he stayed his second friend

Then

Difference = 40 - 30 = 10 minutes

So, he stay 10 minutes longer than first friend.

5) In part E, he is riding towards his home.

6) In part A of the graph he is travelling faster.

7) he went 10 kilometer away from his house.

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Answer:

D, or the last option

Step-by-step explanation:

Answer:

1/2-5d

Step-by-step explanation: Commutative property you have to switch the order of the terms. Since your problem was -5d+1/2 just flip it, 1/2-5d.

Answer:

40m

Step-by-step explanation:

Radius is half of diameter

If the firm is limited in the capital it has available (capital rationing) or if a project has more than one sign reversal, you may not accept a project that has a positive net present value. Capital rationing means that the firm does not have enough capital to invest in all positive net present value projects, so they have to choose which projects to fund. In this case, a project with a higher net present value may not be chosen if the firm does not have enough capital to fund it.

Additionally, if a project has more than one sign reversal, it means that the cash flows of the project change from positive to negative and back again. This makes it difficult to accurately predict future cash flows and profitability, and could make the project too risky to accept, even with a positive net present value.

You would NOT accept a project with a positive net present value under the condition that the firm is limited in the capital it has available (capital rationing). This is because capital rationing occurs when a company has limited resources to invest in projects, and it must prioritize projects based on their potential profitability and contribution to the company's goals. In this situation, even if a project has a positive net present value, it might not be the best option compared to other projects with higher profitability or strategic importance.

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We are asked to evaluate the integral of sin^3(theta) * cos^2(theta) d(theta) from 0 to pi/2. The goal is to find the exact form of the integral without using the equation editor or converting fractions.

To evaluate the given integral, we can use trigonometric identities and integration techniques. Let's start by applying the identity cos^2(theta) = 1 - sin^2(theta), which allows us to rewrite the integrand as sin^3(theta) * (1 - sin^2(theta)). We can then expand this expression to sin^3(theta) - sin^5(theta).

Next, we can integrate each term separately. The integral of sin^3(theta) is -cos(theta) * (1/3) * cos^2(theta), and the integral of sin^5(theta) is (-1/6) * cos^6(theta).

Now, we evaluate the definite integral from 0 to pi/2 by substituting the upper and lower limits into the expressions. After simplifying the calculations, we obtain the exact form of the integral.

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50 dozen donuts should be produced before your average cost per dozen drops to $2.45

Let x be the number of dozen donuts produced.

The total cost to produce x dozen donuts is:

Total cost = cost of raw materials + overhead costs

Total cost = 0.65x + 0.55x

Total cost = 1.20x

The average cost per dozen can be expressed as:

Average cost per dozen = Total cost / number of dozens

2.45 = 1.20x / x

To solve for x, we can cross-multiply and simplify:

2.45x = 1.20x

x = 50

Therefore, you must produce 50 dozen donuts before your average cost per dozen drops to $2.45.

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The first step is to convert angle A = 23°23' to degrees. Recall, the interpretation of angle A is 23 degree 23 minutes. Also,

1 degree = 60 minutes

Let x = 23 minutes. Thus, we have these equations

1 = 60

x = 23

By crossmultiplying,

60x = 23

x = 23/60 = 0.3833

Thus,

angle A = 23 degrees + 0.3833 degrees = 23.3833 degrees

The triangle is shown below

Taking angle A as the reference angle,

hypotenuse = 42.75

opposite side = a

adjacent side = b

To find a, we would apply the sine trigonometric ratio which is expressed as

Sin# = opposite side/hypotenuse

Sin 23.3833 = a/47.25

By crossmultiplying,

a = 47.25Sin 23.3833

a = 18.75

To find b, we would apply the cosine trigonometric ratio which is expressed as

Cos# = adjacent side/hypotenuse

Cos 23.3833 = b/47.25

By crossmultiplying,

b = 47.25Cos 23.3833

b = 43.37

The given triangle is a right triangle. This means that one of its angles is 90 degrees. Thus,

angle C = 90 degrees

The sum of the angles in a traingle is 180 degrees. This means that

angle A + angle B + angle C = 180

23.3833 + angle B + 90 = 180

angle B + 113.3833 = 180

angle B = 180 - 113.3833

angle B = 66.62 degrees

Given:

The number is \(\sqrt{125}\).

To find:

The estimate value of given number.

Solution:

We have,

\(\sqrt{125}=\sqrt{5\times 5\times 5}\)

It can be written as

\(\sqrt{125}=5\sqrt{5}\)

We know that, \(\sqrt{5}\approx 2.236\). So,

\(\sqrt{125}=5(2.236)\)

\(\sqrt{125}=11.18\)

Approx the value to the nearest integer.

\(\sqrt{125}\approx 11\)

Therefore, the required integer is 11.

The rule of the translation that maps the rocket from position I to position 2 is 4 units right and 4 units up

The translation is added as an attachment

From the attached figure, we have the following corresponding coordinates:

Figure 1 = (0, 0)

Figure 2 = (4, 4)

The rule of translation is calculated as:

(x, y) = T<Figure 2 - Figure 1>

This gives

(x, y) = T<4 - 0, 4 - 0>

Evaluate

(x, y) = T<4, 4>

Hence, the rule of the translation that maps the rocket from position I to position 2 is 4 units right and 4 units up

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Complete question

In an animated film, a simple scene can be created by translating a figure against a still background. Write a rule for the translation that maps the rocket from position I to position 2.