Nick is driving from Brookville to Kansas City, a distance of more than 325 miles, to watch the Bengals play the Chiefs in the playoffs. After driving 75 miles, Nick stops for gas. Write and solve an nequality to determine how much farther Nick has to drive to reach Kansas City.​

The experimental probability of spinning of B or C is 1/3.

In the given question, the spinner is spun 75 times.

We have to find the experimental probability of spinning of B or C.

The given data is:

Outcome          A              B              C              D

Frequency       20             11             14             30

Total frequency = 20 + 11 + 14 + 30

Total frequency = 75

The probability of spinning B = Frequency of B/Total Frequency

The probability of spinning B = 11/75

The probability of spinning C = Frequency of C/Total Frequency

The probability of spinning C = 14/75

Now the experimental probability of spinning of B or C;

P(B or C) = P(B) + P(C)

P(B or C) = 11/75 + 14/75

P(B or C) = (11 + 14)/75

P(B or C) = 25/75

P(B or C) = 1/3

Hence, the experimental probability of spinning of B or C is 1/3.

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The fast of the radius of balloon increasing is 480 cm³ / sec.

Given data :

V = [tex]\frac{4}{3}[/tex] π r³

we know [tex]\frac{dr}{dt}[/tex] = 30 cm/ sec

we want [tex]\frac{dV}{dt}[/tex] when r = 2cm

Differentiate V = [tex]\frac{4}{3}[/tex] π r³ implicitly with respect to t

[tex]\frac{dV}{dt}[/tex] (V) = [tex]\frac{dr}{dt}[/tex] ( [tex]\frac{4}{3}[/tex] π r³ )

[tex]\frac{dV}{dt}[/tex] = [tex]\frac{4}{3}[/tex] π x 3r² [tex]\frac{dr}{dt}[/tex] = 4 π r² [tex]\frac{dr}{dt}[/tex]

Plug in what you know and solve for what you don't know.

[tex]\frac{dV}{dt}[/tex] = 4π ( 2 )² ( 30 / sec ) =

= 120 x 4 .π cm³ / sec

= 480 cm³ / sec

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The output of function g(r) = -5x + 13 when r is 3 is -2.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(r) = -5r + 13

Input r = 3

g(3)

= -5 x 3 + 13

= -15 + 13

= - 2

Thus,

The output is -2.

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Answer:

Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.

Missing: [tex ‎0.7x-2.1\ ‎\textless ‎\atop ‎\textgreater ‎tex]

For the polynomial 9, 3x², 8x; the degree is 2 and the leading coefficient is 3

An equation is used to show the relationship between numbers and variables.

Polynomial is an expression composed of variables, constants and exponents using mathematical operations such as addition, subtraction, multiplication and division

The degree is the highest exponent of variable for the polynomial. The polynomial with degree of 2 is known as a quadratic polynomial

Given the polynomial:

9, 3x², 8x

Writing in standard form is done by rearranging from highest exponent of variable to least. This is:

3x², 8x, 9

Hence the degree is 2 and the leading coefficient is 3

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Therefore , the solution of the given problem of surface area comes out to be Felix is required to purchase 10 parallelogram-shaped tiles for an area totaling 80cm2.

Its surface area is a gauge of the space it takes up overall. A three-dimensional shape's entire environment is considered part of its surface area. Surface area is the total area of a thing. By adding up the faces on each of its six rectangle sides, a cuboid's volume of water can be calculated. The following formula could be used to calculate the dimensions of the box: Surface is the same for 2lh, 2lw, and 2hw (SA). The muti shape's surface area serves as a representation of the entire region.

Here,

Given: One parallelogram-shaped tile has a base of 4 cm and a height of 2 cm.

4 x 2 cm is the area of a single parallelogram-shaped tile.

8 cm2 is the size of one parallelogram-shaped tile.

The total area of the five black and five white tiles is 10 8cm2.

Total tile area is 80cm2 for the 5 black and 5 white tiles.

Felix is therefore required to purchase 10 parallelogram-shaped tiles for an area totaling 80cm2.

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The Correct answer is option (C) x = 16. Y = 22 . number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Given,

To find the values of X and Y,

Let x = number of new releases

Let y = number of classics.

The equation to solve the question is ,

20x + 8y = 500

When x= 16 and y = 22

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is  x= 16, y = 22

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Step-by-step explanation:

I think you have to change 20% to a fraction

Step-by-step explanation:

To Find : Their present ages

Consider,

[tex]x + y = 46\\x = 46 -y[/tex]

→ (x+4) : (y +4) = 7:2

→ x+4/y+4 = 7/2

→ 46-y+4/y+4 = 7/2

→ 50-y/y+4 = 7/2

→7y +28 = 100-2y

→ 7y +2y = 100 -28

→ 9y = 72

→ y = 8

Now put y = 8 in eq(1) .

→ x = 46 - y

→ x = 46 - 8

→ x = 38

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Answer:

  1.033×10⁴

Step-by-step explanation:

You want the quotient 40.79÷0.003949​ using log tables.

The log of a quotient is the difference of logs:

  log(a/b) = log(a) -log(b)

It can work well to start by writing the numbers in scientific notation:

  log(40.79) = log(4.079×10¹) = 1 +log(4.079) = 1.6106

  log(0.003949) = log(3.949×10⁻³) = -3 +log(3.949) = -3 +0.5965

Then the log of the quotient is ...

  log(40.79/0.003949) = 1.6106 -(-3 +0.5965) = 4.0141

The antilog of this number will be ...

  antilog(4.0141) = 10⁴ × antilog(0.0141) ≈ 1.033×10⁴

With our 4-digit log tables, 4 significant figures is the best we can expect.

The quotient is about 1.033×10⁴.

__

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Answer:

[tex]C=59.6902604182[/tex]

Step-by-step explanation:

The formula to calculate the circumference of a circle given the diameter is:

[tex]C=\pi d[/tex]

Substitute and solve:

[tex]C=\pi \times19=59.6902604182[/tex]
[tex]C=59.6902604182[/tex]

Since the question doesn't say to round your answer is "59.6902604182."

Hope this helps.

Answer:

First, you need to calculate your grade in percentages. The total answers count 70 - it's 100%, so we to get a 1% value, divide 70 by 100 to get 0.70. Next, calculate the percentage of 15: divide 15 by 1% value (0.70), and you get 21.43% - it's your percentage grade.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope = rise / run = 2 / 3

Because points A, B, C, and D are collinear (meaning on the same line), the slope for line segment AB is the same as the slope for segment DC.

Answer:

2/3.

Step-by-step explanation:

The 2 triangles are similar so their corresponding sides are in same ratio.

The sides BA and CD are collinear so theire slopes are the same.

Slope of BA = rise/run = 2/3 so slope of DC is also 2/3.

The angle of elevation of the coconut palm tree from me is [tex]38\x^{o}[/tex].

The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.

the angle of elevation is defined as "the angle created between the horizontal line and the line of sight when an observer looks upwards." It is always higher than the observer and at a larger angle. When a person stares downward, they create an angle of depression, which is the opposite of an elevation angle. When studying heights and distances in trigonometry, it is crucial to understand the angle of elevation and depression. Angles, horizontal lines, and line of sight are the three main terms related to the angle of elevation.

Height of the palm tree is 58 ft

Distance at which I am standing from the tree is 74 ft

As per sum

[tex]tan \theta = \frac{58}{74}[/tex]

[tex]\theta = tan\x^{-1} (\frac{58}{74})[/tex]

[tex]\theta\\[/tex] = [tex]38\x^{o}[/tex]

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Answer: The explicit formula for this sequence is given by the expression a_n = 3^n, where n is the position in the sequence (starting from n=1 for the first term).

The recursive formula for this sequence is given by the expression a_n = 3a_(n-1), where n is the position in the sequence (starting from n=1 for the first term) and a_(n-1) is the previous term in the sequence.

Here's how you can use the recursive formula to find the terms of the sequence:

a_1 = 2

a_2 = 3a_1 = 3 * 2 = 6

a_3 = 3a_2 = 3 * 6 = 18

a_4 = 3a_3 = 3 * 18 = 54

a_5 = 3a_4 = 3 * 54 = 162

and so on.

To find the explicit formula, you can try to find a pattern in the terms of the sequence. For example, you might notice that each term is simply the previous term multiplied by 3. This pattern can be expressed using the recursive formula a_n = 3a_(n-1). To find the explicit formula, you can then solve for a_n in terms of n:

a_n = 3a_(n-1)

a_n / 3 = a_(n-1)

a_n / 3 = (3a_(n-2)) / 3

a_n / 3 = 3^(n-2)

a_n = 3^n

Therefore, the explicit formula for this sequence is a_n = 3^n.

Step-by-step explanation:

The longest side of a triangle is always opposite to the largest angle because  the endpoints of the lines on either side are going to be further apart if the angle is wider .

What is Triangle  ?

The triangle can defined as a three-sided polygon that consists of three edges and three vertices.

Let the angle opens up to its opposite side.

So , the larger the angle, the wider will be it's opening. which means that the endpoints of lines on either side of the angle are going to be further apart if angle is wider.

If the endpoints are further apart, then the line connecting them, which makes up the side opposite will be going to be more longer.

So , the longest side will always be opposite to the largest angle

Similarly , the smallest angle will result in shortest side opposite side for the same reasons.

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Answer:

39

Step-by-step explanation:

The three choices are increase the sample size, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

what is sample size?

The number of observations utilized to calculate estimates for a given population is referred to as the sample size. From the population, a sample size was chosen. The term "sample size" describes the number of subjects or observations that make up a study. n is typically used to represent this number.

The three choices are increase the size of the sample, pick individuals from various grade levels and in all language arts classes, pick the fourth student.

It's important to take into account the following data:

The sample size should be raised in order to boost the result validity, The students should be chosen from among the various grade levels and For all language kinds, a student should be chosen every fourth student.

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Answer:

C) The total fixed cost.

The product of 3p, 4p² and 5p 7 is 120p⁹.

Product is an item or thing that is created or produced by a business. It can refer to both physical and intangible items, such as machines, food, software, intellectual property, or services. The concept of a product is used in many different industries, including manufacturing, retail, technology, and finance. Products are typically sold in exchange for money, but can also be given away or traded. Products are an essential part of any business, as they are what generate income for a company.

This can be calculated by multiplying 3p (3 x p) with 4p² (4 x p²) and 5p 7 (5 x p x 7). The result of this multiplication is 120p⁹ (3 x 4 x 5 x p x p² x 7).

To understand this calculation better, we can break it down into its component parts.

The 3p component is 3 x p, which gives us 3p. The 4p² component is 4 x p², which gives us 4p². The 5p 7 component is 5 x p x 7, which gives us 5p 7. When these three components are multiplied together we get 3 x 4 x 5 x p x p² x 7,which is equivalent to 120p⁹.
In conclusion, the product of 3p, 4p² and 5p 7 is 120p⁹.

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In the quadrilateral, ∠GEF will be same as angle ∠EDF=42°°

A polygon with four sides, four angles, and four vertices is called a quadrilateral. The Latin words quadri, which means four, and latus, which means side, were combined to create the English word quadrilateral. A quadrilateral is shown in the above image as an example.

A parallelogram has two pairs of parallel sides, whereas a trapezoid only has one pair. Consequently, a parallelogram is a trapezoid.

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Answer:

EGF

Step-by-step explanation:

Got it right on plato.

The quadratic functions that have an axis of symmetry at x = -2 are given as follows:

The standard definition of a quadratic function is given by the rule presented as follows:

y = ax² + bx + c, in which a is different of zero.

The axis of symmetry is given by the x-coordinate of the vertex, hence it's equation is defined as follows:

x = -b/2a.

Meaning that the correct options are given by the first and by the fourth options in this problem.

For the first function, we have that:

a = 1, b = 4.

Hence the axis of symmetry is obtained as follows:

x = -4/2 = -2.

For the fourth function, we have that:

a = -2, b = -8.

Hence:

x = -8/4 = -2.

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The value of sin(4π-x) is -sinx

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given that, express the given in terms of sinx or cosx sin (4π-x)

sin(4π-x) = sin(2π+2π-x)

We know, that, sin(a+b) = sina·cosb+sinb·cosa

Here, a = 2π and b = 2π-x

Therefore,

sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π

Now, sin2π = 0 and cos(2π) = 1

Therefore,

sin2πcos(2π-x)+sin(2π-x)cos2π

= sin(2π-x)

As we know that, sin(2π-x) = -sinx

Hence, sin(4π-x) = -sinx

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The ordered pair that would be needed by the company for shipment can be loaded in the trailer as the pair will take only 3200ft³ of the volume of the trailer which is 3800 cubic feet.

The total volume of the trailer = 3800 cubic feet

The volume of each recliner = 40 cubic feet

The volume of each sofa = 80 cubic feet

The number of recliner needed = 30

The number of sofas needed = 25

The volume that the sofa will cover = 25 × 80 = 2000

The volume that the recliner will cover= 30 × 40 = 1200

Therefore the total volume both will take = 3200 cubic feet.

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The percent that the new frame is bigger than the original frame if the width of the frame remains the same is 9.1%.

From the information, the painting, square in shape, is placed in a wooden frame with width of 10% of the length of the side of the paining. The painting was enlarged by 10%.

Let the length be Illustrated as 10cm.

Width = 10% × 10cm

= 1cm

New Length = 10cm + (10% × 10cm)

= 11cm

The old perimeter will be:

= 2(1 + 10)

= 22cm

New perimeter will be:

= 2(1 + 11)

= 24cm

The percentage increase will be:

= (24 - 22) / 22 × 100

= 2/22 × 100

= 9.1%

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Therefore , the solution of standard deviation is  because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.

Standard deviation, often known as variance in a set of data, is a statistical measure of variation. A low standard deviation indicates that the values are more likely to be near the mean of the collection, whereas a high standard deviation indicates that the values are widely distributed. How far the data depart from the mean is expressed by the standard deviation, abbreviated as.

Here,

Considering the details here,

The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.

The much lower results are u-2 = 11169.8-2(126.2) => 917.4.

Reason: According to the range rule of thumb, the required incredibly low values are 91.7 cm3 or less.

Hint: Use the algorithm to identify values that are at least considerably high.

Step: 2

Considering the data supplied,

The average brain volume is 1169.8 cm3, while the standard deviation is 126.2 cm3.

Significantly higher values include,

u-2α = 11169.8+ 2(126.2)

=> 1422.2

Justification: According to the range rule of thumb, the necessary significantly high values must be 1422.2 cm3 or higher.

Hint: To determine whether the value 1452.2 cm3 is very high, use the findings of steps (1) and (2).

Step: 3

Using step 1 and step (4),

917.4 is among the significantly low numbers or less.

The significantly high values are 1422.2 or higher.

Yes, 1452.2 cm3 is a noticeably high value.

The apt response is choice (B).

Reason: The value is much higher than expected based on the range rule of thumb because the value of 1452.2 cm3 does not fall between the range of 917.4 cm3 and 1422.2 cm3.

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The best method of collecting a population sample so that the commuter can answer this question is C. Look up a number of randomly selected gas stations in the area to find out gas prices.

The entire group about which you want to draw conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the total population size.

A sample is characterized as a more manageable and compact version of a larger group. a smaller population that possesses the traits of a larger population. When the population size is too large to include all participants or observations in the test, a sample is used in statistical analysis.

This method would be the most representative of the entire population of gas stations in the area, and therefore the most likely to produce an accurate average price.

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The x-coordinate of the centroid of the triangle ABC with vertices

A(-3, 3), B(2, 5), and C(4, -3) is 1.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

The centroid of a triangle is the common intersection point of all the medians of the triangle.

When vertices of a triangle is given the co-ordinate of the centroid are

(x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3.

Given, ΔABC has vertices A(-3, 3), B(2, 5), and C(4, -3).

Therefore, The x-coordinate of the centroid is,

Gₓ = (- 3 + 2 + 4)/3.

Gₓ = 3/3.

Gₓ = 1.

So, The x-coordinate of the centroid is 1.

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Kiran would choose scale of 1 to 50.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object. If the original figure's dimensions and the dilated (increased or lowered) figure's dimensions are known, the scale factor can be determined.

Given:

As, The scale “1 inch to 6 feet” is equivalent to the scale “1 to 72,” because there are 72 inches in 6 feet.

The scale “1 to 100” would make a scale drawing that is smaller than the scale “1 to 72,” because each inch on the new drawing would represent more actual length.

The scale “1 to 50” would make a scale drawing that is larger than the scale “1 to 72,” because Kiran would need more inches on the drawing to represent the same actual length.

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The options are as follow:

1 to 50

1 to 72

1 to 100

Answer:

each book cost=222-15=207/9=22.88 dollar