Wendy drives a car 110 kilometers per hour. What is this rate, in miles per hour, to the nearest tenth?

Answer:

Step-by-step explanation:

Factor x2 +8x +16, so (x+4)2 = 100

The unit rate of C is 2.5 grams per minute.

Using this, the amount of C created in 20 minutes is 50 grams.

In the question, we are given that it is observed that 25 grams of C are formed in 10 minutes.

We are asked for the amount of C (in grams) to be formed in 20 minutes.

To find this, we first calculate the amount of C (in grams) that can be formed in unit time, that is, in 1 minute, depicting the unit rate of C in time.

The quantity of C formed = 25 grams.

The time taken to form 25 grams of C = 10 minutes.

Thus, 10 minutes ⇔ 25 grams of C,

or, 1 minute ⇔ 25/10 grams of C,

or, 1 minute ⇔ 2.5 grams of C.

Thus, the unit rate of C is 2.5 grams per minute.

Using this, we can find the amount of C created in 20 minutes, by multiplying the time by the unit rate.

Thus, the amount of C created in 20 minutes = 20 minutes * 2.5 grams per minute = 50 grams.

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The y-intercept of a function is the point at which it intersects the y-axis. In other words, it is the value of the function when the input (x) is zero.

Whether or not a function has a y-intercept depends on its equation and the nature of the function. For example, a linear function of the form y = mx + b (where m is the slope and b is the y-intercept) will always have a y-intercept, since b represents the value of y when x = 0. On the other hand, some functions (such as circles or exponential functions) do not intersect the y-axis and therefore do not have a y-intercept.

If a function does have a y-intercept, its value can provide useful information about the behavior of the function. For example, in a linear function, the y-intercept represents the starting point of the line and can be used to calculate the value of the function at any point along the line. In a quadratic function, the y-intercept represents the point at which the parabola intersects the y-axis and can provide information about the maximum or minimum value of the function.

In summary, the y-intercept is an important concept in mathematics that can provide valuable information about the behavior of a function. However, it is not always applicable, depending on the equation and nature of the function in question.

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Answer:

b=60 c=70 a=50 d=70 e=60 f=50

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

SAS means you're claiming the corresponding sides on either side of a given angle are congruent. The figures show the sides congruent, so the remaining piece of the puzzle is to show the contained angles, B and J are congruent.

Answer:

b: 59 feet per second

Step-by-step explanation:

The maximum amount you can pay for the antique pitcher while still maintaining a 47% markup on cost is approximately $17.69. This can be calculated using the formula.

Given that you need a 47% markup on cost, the cost can be calculated by dividing the desired selling price by (1 + Markup Percentage). In this case, the selling price is $26 and the markup percentage is 47%.

Maximum Price = $26 / (1 + 0.47) = $26 / 1.47 ≈ $17.69

Therefore, the most you can pay for the antique pitcher is approximately $17.69 in order to maintain a 47% markup on cost. By paying this amount, you can ensure that you have room to cover your desired markup and still sell the pitcher at a price that most people are willing to pay, which is $26.

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The complement of the empty set is the set of all possible elements in the universal set U, which is the English alphabet in this context.

The universal set U is defined as the set of all possible elements or values under consideration for a given context. On the other hand, the complement of a set A is defined as the set of all elements that are not in A but are in U.

The complement of the empty set is defined as the set of all elements in U since the empty set is a subset of every set.

Therefore, the complement of the empty set in this context would be the entire set of all letters in the English alphabet.

This is because the empty set contains no elements, and therefore, its complement would be the set of all possible elements in U, which in this case is the English alphabet.

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In summary, the normal distribution is symmetric, its mean and median are equal, and it is described by its mean and standard deviation. However, it is not bimodal, as it does not exhibit multiple peaks.

The statement "d. It is bimodal" is not true about the normal distribution. The normal distribution is a symmetric probability distribution that is bell-shaped. It does not have multiple peaks or modes, making it unimodal rather than bimodal.

Here are explanations for the other statements:

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(a) Angle B = Angle C = 65 degree.

(b) Angle x and Angle y is 70 degree .

Given,

In the question:

9. Write a sequence of rigid motion to take figure ABC  to figure DEF.

Now According to the question:

Take a figure ABC to figure DEF

So, CB = FE

      BA = ED

Angle B = Angle E

10.(a) To find the unknown measure:

In triangle ABC

Angle A = 90 degree

To find the Angle B and C

Let the angle B and C be x

We know that :

Sum of angle triangle is 180 degree

50 + x + x = 180

50 + 2x = 180

2x = 180 - 50

2x = 130

x = 65°

Hence, Angle B = Angle C = 65 degree.

10. (b)  Given,

Angle ABC = Angle BAC

If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Substitute Angle ABC = y and  Angle BAC  = x into Angle ABC = Angle BAC .

Angle (ABC + ACB + BAC) = 180 degree (Angle sum theorem)

=> y + 40 + x = 180

=> x + 40 + x = 180

=> 2x = 180 - 40

=> 2x = 140

x = 70°

Hence, Angle x and Angle y is 70 degree .

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Answer: 0.90 g/cm3

Step-by-step explanation:

Their ratio is given by the mass density of ice: M/V = Rhoi ~ 0.90 g/cm3 (iceberg ice is more dense than normal ice since it has been compressed by thousands of years of pressure - normal ice is 0.917 g/cm3).

Answer:

Basal melting of floating ice shelves and iceberg calving constitute the two ... of the Southern Ocean free of large icebergs are largely populated by small iceberg  the hidden part, which is the most important in terms of effort and often the most  So this work explores use of NISAR to map surface structures visible on ice

Step-by-step explanation:

Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.

In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.

Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.

The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.

By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.

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Answer: True.

Step-by-step explanation:

Answer:

Please see the attached images for full solution.

For question 3, the equation could have also been 3x°= 90°. However, I used ∠ sum of △ since I didnt want to assume that ∠ABC is a right angle.

Likewise for Q4, the polygon looks like a trapezium which means that the 2 horizontal lines are parallel and one could conclude that (3x +3)° +(2x +2)°= 180° (int. ∠s). But since it wasn't clearly indicated that they are parallel, I used the sum of interior angles to find x instead.

Answer:

100ml bottle is cheapest per ml

Step-by-step explanation:

The 80 ml bottle sells for 55 so that makes 80 ml for 5500 p which calculates to 68.75p per ml.

the 2 50 ml bottles will cost 45+22.50  = 67.50 which makes 100 ml for 6750p

this makes it 67.5p per ml which is cheaper than the 80 ml bottle

The attached image shows the sketch of the angles and their respective reference angles.

Quadrant is one of the four regions into which a coordinate plane is divided. In a Cartesian coordinate system, such as the standard xy-plane, the quadrants are numbered counterclockwise starting from the top-right quadrant.

First Quadrant (Q1): It is located in the upper-right region of the coordinate plane. In this quadrant, both the x and y coordinates are positive.

Second Quadrant (Q2): It is located in the upper-left region of the coordinate plane. In this quadrant, the x coordinate is negative, and the y coordinate is positive.

Third Quadrant (Q3): It is located in the lower-left region of the coordinate plane. In this quadrant, both the x and y coordinates are negative.

Fourth Quadrant (Q4): It is located in the lower-right region of the coordinate plane. In this quadrant, the x coordinate is positive, and the y coordinate is negative.

The given angles: -210° and -7π/4 radians are both located in the third quadrant.

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The function that describes the car's distance from little rocks would be option A; y = 45x + 280

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Point 1:

(x, y) = (0, 280)

Since we are told the car's initial position is 280 miles in the time 0 h

Point 2:

(x, y) = (4, 100)

Since we are told the car's final position is 100 miles after 4h.

Let's find the Slope :

m = 45

Now, the equation of the line is:

y = mx + b

y = 45x + 280

Then, The function that describes the car's distance from little rocks would be option A; y = 45x + 280

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Answer:

mean= 12

median= 10

mode= 10

Step-by-step explanation:

mean: add up all values, then divide by how many values you have(84/7=12)

median: when sorted, value in middle(See pic)

mode: value that appears most

Answer:

\(5.616\)

Step-by-step explanation:

Question :

\(1.56 \times 3.6\)

Simply solve this without considering the decimals

\(156 \\ \times 36 \\............ \\ \: \: \: \: \: \: \: 936 \\ + 4680 \\ ............ \\ = 5616\)

And now consider about the decimals

There are 3 decimal places

1.56 * 3.6

Now you can write answer like this,

\(5.616\)

Hope this helps you

Let me know if you have any other questions :-):-)

Answer:

5.616.

Step-by-step explanation:

First multiply 156 by 36

  156

 x 36    

      936      ( result from multiplying 156 by 6)      

+  4680      ( result from multiplying 156 by 30)      

    5616       ( after adding the last 2 numbers).

Now there are 3 numbers after the decimal point in 1.56 and 3.6 so we count 3 places back in 5616:

- to get 5.616.

(a). The number of mangoes can be represented by 2x.

(b). The total number of oranges and mangoes in the basket can be represented by (x + 2x) = 3x

(c). The value of x for the word problem is given as x = 5

Word problems are mathematical problems which involves the use ofordinary words, instead of mathematical symbols.

(a). Given that there are x oranges and there are twice as many mangoes as oranges in the basket, then number of mangoes can be represented by 2x.

(b). The total number of oranges and mangoes in the basket can be represented by x + 2x, simplifying this expression, we have 3x

(c). Given 15 oranges and mangoes in the basket, we can write an equation an solve for x as follows:

3x = 15

x = 15/3 {divide through by 3}

x = 5

Therefore, solving the word problem we have that there are 5 oranges and 15 mangoes in the basket.

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it is important to keep in mind that the results of a polygraph test should not be taken as absolute proof of deception or truthfulness, and that other factors should also be considered in evaluating a job applicant

While lie-detector tests (also known as polygraph tests) are sometimes used as part of a job application process, their reliability and accuracy are controversial and have been questioned by many experts in the field. The test measures physiological responses such as heart rate, blood pressure, and sweat gland activity in response to questions, and the results are interpreted by a trained examiner to determine whether the person is being truthful or deceptive.

However, there are several factors that can affect the results of a polygraph test, including the person's physiological state (such as anxiety or stress), the wording and interpretation of the questions, and the skills and biases of the examiner. False positives (indicating deception when the person is actually telling the truth) and false negatives (indicating truthfulness when the person is actually lying) are also possible.

In your case, it is possible that the lie-detector test gave a false positive result, indicating deception when you were actually telling the truth. There could be various reasons for this, such as anxiety or stress during the test, a misunderstanding or misinterpretation of the questions, or an error in the administration or interpretation of the test.

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The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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Answer:

(3,2)

Step-by-step explanation:

If you take y2 and y1, subtract them, then x2 and y1 and subtract them you will get your slope.

1-5=-4

4-0=4

Divide -4/4 and you will get -1.

-1 is your slope so if you graph the two dots and use -1 in both directions, vertically and horizontally on the line you can use any of those points.  I got (3,2) by going left then up 1 to (4,1).

A line with two points (0,5), (4,1) has another point (- 1, 6) that lies on the line.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given are two points of a line (0,5), (4,1).

Now slope(m) of this line is = (y₂ - y₁)/(x₂ - x₁).

= (1 - 5)/(4 - 0).

= - 4/4.

= - 1.

Now, to find y-intercept(b).

5 = - 1(0) - b.

b = 5.

Now,

y = (-1)x + 5.

y = - x + 5.

When x = - 1, y = 6.

So, another point is (- 1, 6) on the line.

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The answer of the given question based on the theoretically optimal solution is ,False.

A model refers to a simplified representation of a real-world system or phenomenon that is used to gain insights, make predictions, or solve problems. Models in math can take many forms, including mathematical equations, geometric shapes, graphs, or diagrams.

Mathematical models are often used in various fields like physics, engineering, economics, and biology to represent and analyze complex phenomena. These models are constructed using mathematical principles and are based on assumptions and simplifications of the real-world system they represent.

False.

In project 8, the out-of-sample results are expected to provide an estimate of how well the model is expected to perform on new, unseen data. The out-of-sample results are not necessarily expected to the track closely with or exceed  results of theoretically optimal solution (TOS), as TOS is based on training data and may not generalize well to new data. The goal is to find a model that performs well on both the training data and new, unseen data, so the out-of-sample results are used to evaluate the generalization performance of the model.

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The distance from -4 to 1 is 5 units.

The correct number line and expression to find the distance from -4 to 1 are:

Number line: -4 -3 -2 -1 0 1

Expression: |-4 - 1|

To find the distance, we subtract the smaller number (-4) from the larger number (1) and take the absolute value:

|-4 - 1| = |-5| = 5

Therefore, the distance from -4 to 1 is 5 units.

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Thus, Taner needs to run only 3 km this week to reach his  run target of 6 km.

We can begin by defining fractional numbers as numbers that represent one or maybe more pieces of a unit that has been divided into equal parts if we need a definition.

Given that-

So,

2 week target for Taner = 6 km

Now,

1 week target for Taner = 6/2 = 3 km

As, 3 km of run is already finished by the Taner last week. Thus, Taner needs to run only 3 km this week to reach his goal.

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For the given inequality 6 x+9<7 x, x is greater than 9

Inequality is the relation between two expressions linked by the arithmetic expression other than equal sign. Such as less than (<), greater than (>), less than equal to (<=) and greater than equal to (>=).

Let's solve the inequality

6 x+9<7 x

Separate the variables and constants by moving them on the same side. Such as

9<7x-6x

9<x

We want to keep the variable on the left side. Then, just interchange the positions.

x>9

Therefore, it is clear that x is greater than 9.

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