For the following problems, consider that in 2005, 87 million American women drove about 860 billion miles and about 13,000 were involved in fatal accidents.
How many miles did the average woman drive?

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\(F = \frac{9}{5} \alpha + 32 \\ \)

\( \alpha \: is \: in \: centigrade\)

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To find Farenheit just need to put the degree instead of alpha

Answer:

x = 1.6 , y = 13.8

Step-by-step explanation:

y - 3x = 9 ( add 3x to both sides )

y = 9 + 3x → (1)

7x + y = 25 → (2)

Substitute y = 9 + 3x into (2)

7x + 9 + 3x = 25

10x + 9 = 25 ( subtract 9 from both sides )

10x = 16 ( divide both sides by 10 )

x = 1.6

Substitute x = 1.6 into (1)

y = 9 + 3(1.6) = 9 + 4.8 = 13.8

Answer:

210 cm^3

Step-by-step explanation:

To find the volume of a regular we use the following formula:

l*w*h (l: length, w: width, h: height)

6*5*7 = 210 the volume is expressed with cm^3 so the answer is 210 cm^3

Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

Answer:

\(\sqrt{40}\) OR 6.324555

Remember to round accordingly if not intended to be answered in square root form!

Step-by-step explanation:

Use the distance formula

No, the 3-dimensional flow given in Cartesian coordinates does not satisfy the incompressible continuity equation.

The incompressible continuity equation is a fundamental equation in fluid dynamics that describes the conservation of mass. It states that the divergence of the velocity field should be equal to zero for an incompressible flow.

In Cartesian coordinates, the continuity equation can be written as:

∇ · V = ∂u/∂x + ∂v/∂y + ∂w/∂z = 0

where V = (u, v, w) represents the velocity field in the x, y, and z directions respectively.

To determine if the given 3-dimensional flow satisfies the incompressible continuity equation, we need to calculate the divergence of the velocity field and check if it equals zero.

Let's assume the velocity field is given as V = (x^2, y^2, z^2).

Calculating the divergence, we have:

∂u/∂x = 2x

∂v/∂y = 2y

∂w/∂z = 2z

∇ · V = ∂u/∂x + ∂v/∂y + ∂w/∂z = 2x + 2y + 2z

The divergence of the velocity field is equal to 2x + 2y + 2z, which is not equal to zero for all values of x, y, and z. Therefore, the given flow does not satisfy the incompressible continuity equation.

In an incompressible flow, the divergence of the velocity field should be zero at every point in the fluid domain, indicating that the flow is mass-conserving. However, in this case, the non-zero divergence suggests that the flow is compressible or that there is a change in density or mass within the fluid domain.

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Answer:

9

Step-by-step explanation:

Let the three consecutive positive integers be:

If the product of the two smaller integers is 2 more than 8 times the largest integer then:

\(\implies x(x+1)=8(x+2)+2\)

Solve the equation for x:

\(\implies x^2+x=8x+16+2\)

\(\implies x^2+x=8x+18\)

\(\implies x^2-7x-18=0\)

\(\implies x^2-9x+2x-18=0\)

\(\implies x(x-9)+2(x-9)=0\)

\(\implies (x+2)(x-9)=0\)

Therefore:

\(\implies x+2=0 \implies x=-2\)

\(\implies x-9=0 \implies x=9\)

As x is a positive integer, x = 9.

-3x+12x

Divide it all by three

-x+4x

Answer:

The answer is 9x

Step-by-step explanation:

-3x + 12x

12x - 3x = 9x

(1) No, €7 is not an element of the set {7}.

(2) There is only one element in the set {7, 7, 7, 7, 7, 7}.

(3) There are two elements in the set {0, {0}}.

(4) No, {0} is not an element of the set {{0}, {1}}.

(5) Yes, 0 is an element of the set {{0}, {1}}.

(1) The set {7} contains only the element 7, so €7, which represents the currency Euro, is not an element of this set.

(2) In the set {7, 7, 7, 7, 7, 7}, all the elements are the same, namely 7. Therefore, there is only one distinct element in this set.

(3) The set {0, {0}} contains two elements: 0 and the set {0}. The element {0} is considered distinct from the numerical value 0, so they are counted as separate elements.

(4) The set {{0}, {1}} contains two elements: the set {0} and the set {1}. The element {0} is not the same as the set {0}, so {0} is not an element of the set {{0}, {1}}.

(5) The number 0 is an element of the set {{0}, {1}} because it is one of the values present in the set. Therefore, 0 is an element of the set.

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Answer:

Positive thread.

(It's making a positive slope.)

The notation used for a vector pointing into the point is X.

A quantity with a magnitude and direction is called a vector. A vector quantity will be identified in these annotations by a bold letter (such as the electric field vector E). Vectors appear graphically as straight arrows. The magnitude of the vector is commonly represented by the length of the arrow, and both the arrow and the vector point in the same general direction.

Arrows are drawn on the page to represent vectors in the page's plane. Typically, circles with an X engraved on them are used to represent vectors that enter the screen's plane. A vector that deviates from the screen's plane is often represented by circles with dots in the center.

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Answer:

264

Step-by-step explanation:

(11 x 6)/2 x 8 = 264

B x h = V

The required statements and reasons to prove that DE is equal to CE is explained.

The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.

The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.

         STATEMENT                            REASON

1. AD = BC                                          Given

2. <BCD = <ADC                                Given

3. DC = DC                                         Reflexive property

4. ΔADC ≅ ΔBCD                              SAS

5. <EDC ≅ <ECD                                CPCTC

6. AC = BD                                          Definition of diagonal

7. DE = CE                                           Congruent sides of isosceles triangle

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Answer:

1036.2 sq. cm

Step-by-step explanation:

The surface area of the smaller ganza = 2πr2 + 2πrh

surface area = 2 x 3.14 x 3.5 x 3.5 + 2 x 3.14 x 3.5x 10

surface area = 76.93+ 219.8

surface area = 296.73 sq. cm

The surface area of the larger ganza  = 2πr2 + 2πrh

surface area = 2 x 3.14 x 5.5 x 5.5 + 2 x 3.14 x 5.5x 24.5

surface area = 189.97+846.23

surface area = 1036.2 sq. cm

a. The surface area of the smaller ganza is \(296.73cm^{2}\)

    The surface area of the larger ganza is \(1036.2cm^{2}\)

b. The weight of the larger ganza is \(3.84\) pounds.

From given figure,

Radius of smaller ganza ,\(r_{1}=3.5/21.75cm\)

height of smaller ganza, \(h_{1}=10cm\)

a. The surface area of the smaller ganza is,

              \(S_{1}= 2 \pi r^{2} + 2\pi rh\)

              \(S_{1}=2 * 3.14 * 3.5 * 3.5 + 2 * 3.14 * 3.5* 10\\\\S_{1}=76.93+ 219.8\\\\S_{1}=296.73cm^{2}\)

The surface area of the larger ganza

               \(S_{2}= 2\pi r^{2} + 2\pi rh\)

               \(S_{2}= 2 * 3.14 * 5.5 * 5.5 + 2 * 3.14 * 5.5* 24.5\\\\S_{2}= 189.97+846.23\\\\S_{2} = 1036.2 cm^{2}\)

b. Since, the surface area is proportional to the weight.

and The weight of the smaller ganza is 1.1 pounds.

            \(\frac{1.1}{w}=\frac{296.73}{1036.2}\\ \\ w=\frac{1036.2*1.1}{296.73}\\ \\w=3.84\)

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Answer:

x = +8

x = -8

That's the thing that I only know. Im a seventh grader(turned 13) so I wouldn't know this fully. Ask someone else to get it fully.

Step-by-step explanation:

5x + 6x - 10 + 12 = 90

11x = -88

x = -8

or

x = 8

Answer:

answer 2 is correct as we have to put 6 in front of 3 , and x infront of 28. doesn't matter if we change its position.

Answer:

5s=p

s+920=p

5s=s+920

*subtract s from both sides*

4s=920

*divide 4 from both sides*

s=230

230*5=1150

The bag of sunflower seeds weighs 230 grams and the bag of peanuts weighs 1150 grams.

9514 1404 393

Answer:

  1380 grams

Step-by-step explanation:

The ratio of weights is ...

  peanuts : sunflower seeds = 5 : 1

Then the difference in weights is ...

  5 - 1 = 4 . . . . ratio units

The sum of weights is ...

  5 + 1 = 6 . . . . ratio units

That is the sum of the weights related to the difference of weights is ...

  sum : difference = 6 : 4 = 3 : 2

So, the total weight of the two bags is 3/2 times the difference in their weights:

  total weight = (3/2)(920 grams) = 1380 grams

Answer: Let's use a Venn diagram to solve this problem.

First, we know that 612 students like football, 540 students like volleyball, and all students like at least one game. This means that there is some overlap between the two groups in the Venn diagram.

Let x be the number of students who like both games. Then, the number of students who like only football is 612 - x, and the number of students who like only volleyball is 540 - x.

Since all 900 students like at least one game, we can add up the number of students in each of these three groups and set the sum equal to 900:

(612 - x) + x + (540 - x) = 900

Simplifying the left side of the equation gives:

1152 - 2x = 900

Subtracting 1152 from both sides gives:

-2x = -252

Dividing both sides by -2 gives:

x = 126

Therefore, 126 students like both football and volleyball.

To find the number of students who like only football, we can substitute x = 126 into the expression 612 - x:

612 - 126 = 486

Therefore, 486 students like only football.

Step-by-step explanation:

Answer:

120 /4 =30 120 - 30 = 90 The answer is 90$

Step-by-step explanation:

Answer:

x^4  ⋅ (x−5)⋅(3x+4)

Step-by-step explanation:

Answer:

322x

Step-by-step explanation:

if you do 3·3·3·3·3·3 you would get 729

then you would do 11·11·11·11·11 you would get 161051

finally you would do 20·20·20·20 to get 160000

finally you would subtract all those together to get 322 then you would just add the x to get the final answer of 322x

Answer:

the answer is A please give brainliest  

Step-by-step explanation:

The probability that a claim amount is less than or equal to 4, given that it follows a gamma distribution with a mean of 6 and variance of 12, can be calculated using the cumulative distribution function (CDF) of the gamma distribution.

The gamma distribution is a continuous probability distribution with two parameters: shape parameter (k) and scale parameter (θ). In this case, we are given the mean and variance of the gamma distribution, which can be related to the shape and scale parameters as follows:

Mean (μ) = kθ

Variance (σ²) = kθ²

From the given information, we have μ = 6 and σ² = 12. To find the parameters k and θ, we solve the above equations simultaneously:

6 = kθ

12 = kθ²

Dividing the second equation by the first equation, we get:

2 = θ

Substituting this value back into the first equation, we find:

6 = k * 2

k = 3

So, the parameters for the gamma distribution are k = 3 and θ = 2.

Now, we can use the CDF of the gamma distribution to calculate the probability that a claim amount is less than or equal to 4:

P(x ≤ 4) = CDF(4; k, θ)

By evaluating this expression using the values of k and θ we obtained, we can find the desired probability.

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Answer:

1

Step-by-step explanation:

-3/8+x=5/8

x=5/8-(-3/8)

x=5/8+3/8

x=8/8

x=1

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

x=1

Step-by-step explanation:

Add 3/8 to both sides of equation

x=5/8+3/8

X=1

Hope this helps! Sry if I get it wrong!

Answer:

d. (-3,-1)

Step-by-step explanation:

An infinite number of triangles by changing the length of side BC.

We can draw an infinite number of triangles that have two sides of length 4 cm and a 45° angle. This is because the 45° angle can be located at any vertex of the triangle and the third side can have any length greater than or equal to 0 cm and less than or equal to 8 cm.

Here are three examples of triangles that satisfy the given conditions:

Triangle 1:

Side AB = 4 cm

Side AC = 4 cm

Angle BAC = 45°

Side BC has length 4 cm * sqrt(2) ≈ 5.657 cm

Triangle 2:

Side AB = 4 cm

Side AC = 4 cm

Angle ABC = 45°

Side BC has length 0 cm

Triangle 3:

Side AB = 4 cm

Side AC = 4 cm

Angle BCA = 45°

Side BC has length 8 cm

We can continue to draw an infinite number of triangles by changing the length of side BC.

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The dimension that minimize the surface area is  side is 6.35 feet and height is 3.17 feet.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. An object's volume is the amount of space it occupies. Cubic meters are used to measure large quantities (m3). Cubic centimeters (cm3) or cubic millimeters are used to measure smaller quantities (mm3).

Here,

V=x²h

128=x²h

h=128/x²

A=x²+4xh

=x²+4x(128/x²)

=x²+512/x

A'=2x-512/x²

A'=(2x³-512)/x²

A'=0

2x³=512

x³=256

x=6.35 feet

h=128/(6.35)²

=3.174 feet

The side and height measurements that minimize the surface area are 6.35 feet and 3.17 feet, respectively.

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By simplifying the given expression we will get that:

18*√8 = 36*√2

Here we start with:

18*√8

We can rewrite 18 as:

18 = √324

Replacing that in our expression we get:

√324*√8 = √(324*8) = √(2,592)

Now we need to rewrite 2,592 as the product of a square number and a non-square number (such that the non-square number is the smallest possible one).

If we divide 2,592 by 2, we get:

2592/2 = 1296

Then we can rewrite:

√2592 = √(2*1296) = √2*√1296 = √2*36

So this is the expression we wanted:

18*√8 = 36*√2

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Answer:

\(36\sqrt{2}\)

Step-by-step explanation:

The largest square factor under the radical is 4. This gives us the factorization \(\sqrt{8} =\sqrt{4} * \sqrt{2}\).

Thus,

\(18\sqrt{8} = 18(\sqrt{4} * \sqrt{2})\)

        \(= 18*2\sqrt{2}\)

        \(= 36\sqrt{2}\)

Hope this helps!

Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)

9. Simplify

b = -3

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

WWWWWW

Step-by-step explanation:

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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