5. Tom travels 60 miles per hour going to a neighboring city and 50 miles per hour coming back using the same road. He drove a total of 5 hours away and back. What is the distance from Tom's house to the city he visited?

Answers

Answer 1
D=~136.4miles _______

Related Questions

Isosceles triangle ABC contains angle bisectors segment BF, segment AD, and segment CE that intersect at X.

triangle ABC with diagonals BF, AD, and EC that intersect at point X

If segment BA is congruent to segment BC and m∠BCA = 46°, what is m∠CXA?

46°
67°
115°
134°

Answers

Answer:

115

Step-by-step explanation:

this app wont be with you forever

3. Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 37 ft, 35 ft, and 12 ft
False, these measures do not form a right triangle.
True, these measures do form a right triangle.

Answers

Answer:

false

Step-by-step explanation:

these measure do not form a right triangle

Add the following polynomials, then place the answer in the proper location on the grid.
- 4.1x^2 + 0.9x - 9.8
1.7x^2 - 2.4x - 1.6

Answers

Answer: - 2.4x^2 - 1.5x - 11.4

Step-by-step explanation:

- 4.1x^2 + 0.9x - 9.81.7x^2 - 2.4x - 1.6 = - 2.4x^2 - 1.5x - 11.4

Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other.

Answers

The Prove that two non-zero vectors are collinear if and only if one vector is a scalar multiple of the other is given below.

What are the proves?

1.  To know  collinear vectors:

∧ ⁻a ║ ⁻a

If  ⁻b = ∧ ⁻a

then |⁻b| = |∧ ⁻a|

So one can say that  line ⁻b and ⁻a are  collinear.

2.  If ⁻a and ⁻b  are collinear

Assuming |b| length  is  'μ' times of |⁻a |

Then | 'μ' ⁻a| = | 'μ' ⁻a|

So  ⁻b = 'μ' ⁻a

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An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $31.3, and the standard deviation is known to be $9.4. How large of a sample would be required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46

Answers

The sample size which is required in order to estimate the mean per capita income at the 85% level of confidence with an error of at most $0.46 is 866.

Given mean income of $31.3 and standard  deviation of $9.4.

We have to calculate the  sample size of confidence interval of 85% and at an error of $0.46.

Margin of error is basically the difference between actual values and calculated values.

Mean =$31.3

Standard deviation=$9.4

Confidence level=85%

Margin of error=$0.46

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

0.46=1.44*9.4/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]=1.44*9.4/0.46

[tex]\sqrt{n}[/tex]=29.42

squaring both sides

n=865.53

Round off and we get the following:

n=866.

Hence the sample size needed to estimate the mean per capita income at the 85% level of confidence is 866.

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Polygon LMNOP was transformed to create polygon L'M'N'O'P'.2 pentagons have identical side lengths and angle measures. The points are labeled with the same letters.

Which angle corresponds to AngleN?
AngleN'
AngleO
AngleO'
AngleP'

Answers

The angle that corresponds to ∠N after transformation is: A. ∠N'.

What is Transformation?

Transformation is a process of manipulating a figure to create an identical figure either by dilation, rotation, or translation.

In the transformation performed in the image shown below, the new image formed is congruent to the original figure. This means polygon LMNOP ≅ L'M'N'O'P.

Therefore, the angle that corresponds to angle N is: A. Angle N'

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Answer: A). Angle N'

Step-by-step explanation:

A graph titled Cost of a Lunch in a School's Cafeteria has Days since school started on the x-axis and cost of lunch (dollars) on the y-axis. A horizontal line is at y = 2.5.

Which is correct about the graph’s slope?
Its slope is positive.
Its slope is negative.
Its slope is zero.
It has no slope.

Answers

The true statement about the graph's slope is (c) Its slope is zero.

How to determine the true statement?

From the question, we have:

A horizontal line is at y = 2.5.

The horizontal line implies that the cost of lunch do not change

Horizontal lines have a slope of 0

Hence, the true statement about the graph's slope is (c) Its slope is zero.

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70 more points ez ez ez

Answers

[tex]y = 3x + 6 \\ switch \: y \: and \: x[/tex]

[tex]x = 3y + 6 \\ solve \: for \: y \\ x - 6 = 3y \\ y = \frac{x - 6}{3} [/tex]

A is the answer

Answer:

free tokens or something  

Step-by-step explanaon

um i do not know so um bye?

Assume that they all agree on the sample size and the sample mean use the pairs below to select the team that has the smallest sample standard deviation?

Answers

Step-by-step explanation:

A.Confidence Level: 99.7%; Confidence Interval: 42 to 48 

B.Confidence Level: 95%; Confidence Interval: 43 to 47

 C.Confidence Level: 68%; Confidence Interval: 44 to 46 

D.Confidence Level: 95%; Confidence Interval: 44 to 46

A Virus is 30 Nanometres long.

Using the information below, calculate the length, in millimetres, of the virus.

1 metre = 1,000,000 Nanometres.

Answers

Answer:

0.00003mm

Step-by-step explanation:

We know that 1mm=1000000nm

To convert small unit to big we divide

So 30÷1000000=0.00003nm

What are the domain and range of the function (x)=3/4x+5?
O domain: (-00,00)
range: (-00,00)
3
O domain:
range: (-∞0,5)
domain:
range: (5,00)
O domain:
range: (5,00)

Answers

Answer: Option (1)

Step-by-step explanation:

The domain and range of all linear functions is the set of real numbers.

The domain and range of the function is

Domain = (-∞, ∞) and Range = (-∞, ∞)

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = ( 3/4 )x + 5

The domain of the function is the set of all possible input values for x, which in this case is all real numbers, since there are no restrictions on the value of x that can be plugged into the function. Therefore, the domain of the function is:

Domain = (-∞, ∞)

The range of the function is the set of all possible output values that the function can produce. Since the function is a linear function of the form y = mx + b, where m is the slope and b is the y-intercept, we know that the range of the function is all real numbers, since a line can take on any y-value.

Range = (-∞, ∞)

Hence , the domain and range are set of all real numbers

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Part 4: model a real world problem using an ellipse
An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length
of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from
the wood.
a) Write the equation of the ellipse by placing the center at the origin of the coordinate plane and making
the x-axis the major axis. (3 points)

PLEASE ANSWER ALL AND GRAPH

Answers

a. The equation of the ellipse is x²/900 + y²/400 = 1

b. the foci of the ellipse are at (±10√5,0)

c. Find the graph in the attachment

How to find the equation of the ellipse?

Since the ellipse is made from a block of wood and centered at the origin, and x- axis major axis.

So, the equation of an ellipse with center at origin and x - axis major axis is

x²/a² + y²/b² = 1 where

2a = length of major axis 2b = length of minor axis anda > b

Since the rectangular piece of wood  has a length of 60 inches and a width of 40 inches.

The length of the rectangle equals the length of the major axis

So, 2a = 60

a = 60/2

= 30

Also, the width of the rectangle equals the length of the minor axis

So, 2b = 40

b = 40/2

= 20

a. The equation of the ellipse

So, substituting a and b into the equation of the ellipse, we have

x²/a² + y²/b² = 1

x²/30² + y²/20² = 1

x²/900 + y²/400 = 1

So, the equation of the ellipse is x²/900 + y²/400 = 1

b. The foci of the ellipse

The foci of the ellipse are at (±c,0) where c² = a² - b²

= 30² - 20²

= 900 - 400

= 500

c = ±√500

c = ±10√5

So, the foci of the ellipse are at (±10√5,0)

c. Find the graph in the attachment

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Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answers

An expression for the number of tiles used by Bruce and Felicia are 5x + 2 and 5x + 5 respectively.

What is an expression?

An expression refers to a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Note: x represents the number of tiles in a box.

For Bruce, we have:

Expression = 3x + 2x + 2

Expression = 5x + 2.

For Felicia, we have:

Expression = 5x + 5.

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Complete Question:

Bruce retiled his kitchen. Originally, he bought three boxes of tile with the same number of tiles in each. He ran out of tile and had to go back to get three extra boxes of tile. However, he only used two tiles from the last box to finish the job.

Felicia also retiled her kitchen. She bought five boxes of tile, and each box contained the same number of tiles as each of Bruce’s boxes. She also ran out of tile. She had to go back to the store and get five more tiles to finish the job.

Write an expression for the number of tiles Bruce used and an expression for the number of tiles Felicia used. Use x to represent the number of tiles in a box.

Answer:

Bruce: y = 5x + 2

Felicia: y = 5x + 5

r
A model car racetrack is formed by two semicircles as shown below.
9 cm
Find the perimeter of the entire figure.
Use T = = 3.14
2 cm
17
The diameter of the inner semicircles is 9 cm.
The width between the outer and inner semicircles is 2 cm.
>

Answers

The perimeter of the entire figure is 62.8 cm.

Given, that the diameter of the inner semicircles is 9 cm and the width between the outer and inner semicircles is 2 cm.

The radius of the inner semicircle =4.5 cm and the radius of outer semicircle =5.5 cm (∵Diameter=9+2=11 cm)

We need to find the perimeter of the entire figure.

What is the perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

We know that, the circumference of a semicircle=πr and the circumference of two semicircles=2πr

Thus, the circumference of inner semicircles=2×3.14×4.5=28.26 cm

The circumference of outer semicircles=2×3.14×5.5=34.54 cm

The perimeter of the entire figure=28.26+34.54=62.8 cm

Therefore, the perimeter of the entire figure is 62.8 cm.

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The perimeter of whole path is 12.56 cm

What is Perimeter?

Perimeter is the distance around the edge of a shape.

r1= 4.5cm, r2= 6.5cm

Perimeter of semicircle 1,

=πr1

= 3. 14 * 4.5

= 14.13 cm

Perimeter of semicircle 2

=πr2

= 3. 14 * 6.5

= 20.41 cm

Perimeter of path = 20.41 - 14.13 =6.28 cm

Perimeter of whole path = 2 * 6.28 =12.56

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A model without any simplifying assumptions a.provides simplified solutions to complex problems. b.is highly complex and likely unworkable. c.excludes important predictive variables. d.is very helpful for solving tough, real-world problems.

Answers

A model without any simplifying assumptions b.is highly complex and likely unworkable.

As their call implies, simplifying assumptions are assumptions that are protected within the version to simplify the evaluation as tons as feasible. While a simplified version now does not predict the conduct of the actual issue within perfect bounds, too many simplifying assumptions have been made.

While a scientific version enables us to make predictions, it's more valued. As clinical models are representations of simplified explanations, they do not are looking for to explain each scenario or every detail. This means that medical models often aren't equal to the 'real international' from which they are derived.

Mathematical models can help college students apprehend and discover the that means of equations or valuable relationships.

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Find the surface area of the composite figure.
20 in.
11 in.
5 in.
19 in
12 in.
12 in.
SA
11 in.
5 in.
20 in.
[?] in. 2

Answers

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

What is the surface area of the composite figure?

The surface area is the area of all faces of a solid. In this case, we must sum the areas of seven rectangular and two triangular faces to determine the surface area:

A = 2 · (0.5) · (12 in) · (9 in) + 2 · (11 in) · (20 in) + 2 · (5 in) · (20 in) + 2 · (5 in) · (12 in) + (12 in) · (20 in)

A = 1108 in²

By using the area formulae for triangles and rectangles and the concept of surface area of the composite figure is equal to 1108 square inches.

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61. The true proportion p of people who give a favorable
rating to Congress is 8% with a margin of error of
1.5%. Describe this statement using an absolute
value equation.

Answers

Answer:

The expression for the statement using absolute value notation is [tex]$|p-0.08| \leq 0.015$[/tex].

Step-by-step explanation:

It is given in the question that the true proportion p of people who give a favourable rating to Congress is 8% with a margin of error of 1.5%. It is required to express the statement using absolute value notation.

To express the statement using absolute value notation, deduce the statement in the form of an equation.

The error margin for the hypothesis is 1.5% which implies the absolute difference between p and 8% should be less than or equal to 1.5%.[tex]$$|p-0.08| \leq 0.015$$[/tex]


A rectangular yard measures 8m x 6m. What happens to the area if each dimension is doubled?​

Answers

Answer: 192

Step-by-step explanation:

2×8=16

2×6=12

17×12=192

So, the answer is 192.

Answer: the area would quadruple.
Step-by-step:
8x2=16
6x2=12
16x12=192
192 divided by 4 is 48
6x8 (the original area) is 48

Find the two inequalities equations graphed below please.

Answers

The two inequalities are:

a) y ≤ -2x + 5

b) y < 3x - 14

How to find the two graphed inequalities?

On the first graph, we can see that the shaded region is below the line and that the line is solid, so the inequality is of the form:

y ≤ line.

Now, remember that if the line passes through (x₁, y₁) and (x₂, y₂).

Then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

We can see that the line passes through (2, 1) and (-1, 3)

Then the slope is:

[tex]a = \frac{1 - 3}{2 - 1} = -2[/tex]

So the line is:

y = -2*x + b

To find the value of b, we use the point (2, 1), then we get:

1 = -2*2 + b

1 = -4 + b

1 + 4 = b = 5

Then the first inequality is:

y ≤ -2x + 5

Now let's go to the other line equation, again the shaded region is below the line and this time the line is dashed, then:

y < line.

Two points on the line are (5, 1) and (4, -2)

Then the slope is:

[tex]a = \frac{1 - (-2)}{5 - 4} = 3[/tex]

y = 3*x + b

To find the value of b, we use the point (5, 1)

Then:

1 = 3*5 + b

1 = 15 + b

1 - 15 = b = -14

Then the inequality is:

y < 3x - 14

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10. What is the perimeter of the triangle with sides 15 in, 20 in, and 25 in?
O 72 in
60 in
300 in
O 150 in
k

Answers

Answer:

P = 60 inches

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. So, to find perimeter, add up all the sides.

The side lengths were given, add them:

15 + 20 + 25

= 60

The perimeter is 60 inches.

What will be the answer for 25 out of 100?

Answers

Hello !

[tex]\frac{25}{100}=0.25[/tex]

Have a nice day ;)

Answer:

25

Step-by-step explanation:

25

Answer: 25% of 100 is 25.

Whats the easiest way to solve a modulu problem. For example we can use 2^100/3. Whats the easiest way to find the remainder? Without using shortcuts that only work with specific numbers.

Answers

The easiest way to solve a modulu problem is by

Start by taking the initial number (before carrying our the modulo operation). Then select the divisor. Then one have to divide one number by the other and then round down.Then Multiply the divisor using the quotient. Then subtract the above number from one's initial number (dividend).The number gotten is the outcome of the modulo operation.

2^100/3

=3√2^100

=3√2^99×2

=2^33×3√2

The [tex]\sqrt{2}[/tex] is the reminder.

What is the easiest way to find remainders?

The easiest way to find the remainder that only work with specific numbers is that this can be done when one solve the division by the use of a calculator by:

First  if you answer is in decimal form, you have to subtract the whole number and later multiply the decimal value that is said to be left by the divisor of the original problem. The outcome is your remainder.

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let f(x) = x^3-3x^2+2 and g(x) = x^2 -6x+11 Enter the value of x such that f(x)=g(x)

Answers

The value of x such that f(x) = g(x) is x = 3

Quadratic equation

Given the following expressions as shown

f(x) = x^3-3x^2+2 and;

g(x) = x^2 -6x+11

Equate the expressions

x^3-3x^2+2 = x^2 -6x+11

Equate to zero

x^3-3x^2-x^2+2-11 = 0

x^3-3x^2-x^2 + 6x - 9 = 0

x^3-4x^2+6x-9 = 0

Factorize

On factorizing the value of x = 3

Hence the value of x such that f(x) = g(x) is x = 3

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______Is obtained by dividing the population into groups and selecting all individuals from within a random sample of the groups.

Answers

Data

Hope this helps! :)

HELP PLEASEEEE
Zarea finds 3√6,000 and shows her work below.

Answers

1000

^3rad? should be equal to 10. So, 10^3 is equal to 1000

Simplify fully 4m/20m leaving your answer in index form

Answers

The index form of the expression is 5^-1m

How to determine the index form

Note that index form means in a power form

We have that;

= 4m/20m

Find the similar factor

= 1/5m

The inverse of a number, is that number to the power of -1

Then,

1/5m = 5^-1m

Thus, the index form of the expression is 5^-1m

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Stephen has made a 91, 96, and 95 on the first three quizzes this six weeks. If he makes the same score on the last two quizzes, what grade does he need to make on each quiz to have a quiz average of EXACTLY 94 this grading period?

Answers

Answer:

A 94

Step-by-step explanation:

If we take the mean of 91, 96, and 95, we find that it is equal to 94. Thus, if he scores a 94 on his last two quizzes, his average will remain a 94.

Please help. I am so confused.

Answers

The fourth proportional is found by applying the formula

The product of extremes = The product of means.

The fourth proportional is equal to bc/a and st/r

Let the fourth proportional be x then this can be written as

a:b::c:x

Applying the formula of product of extremes

ax= bc

or

x= bc/a

The fourth proportional can be obtained by multiplying the variables bc and dividing by a

Similarly

Let the fourth proportional be y then this can be written as

r:s::t:y

Applying the formula of product of extremes

ry= st

or

y= st/r

The fourth proportional can be obtained by multiplying the variables st and dividing by r

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GEOMETRY)

In the accompanying diagram of circle O, the m angle AOB=36^o. What is the m angle ACB ?

Answers…

A. 9^o
B. 36^o
C. 72^o
D. 18^o

(Picture is below) Thank you!

Answers

Answer:

SOLUTION :-

There is theorem/proof that tells that in these types of figure the other angle is double of the previous one

Means , the required angle will be ( 36 x 2 ) i.e. 72°.

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Nosaira solved an equation. Her work is shown below:
3(2x + 1 ) = 2(x + 1) + 1
6x + 3 = 2x + 2 + 1
6x + 3 = 2x + 3
4x = 0
x = 0
She determines the equation has no solution.
Which best describes Nosaira’s work and answer?
Her work is correct, but there is one solution rather than no solution.
Her work is correct and her interpretation of the answer is correct.
Her work is incorrect. She distributed incorrectly.
Her work is incorrect. She moved terms across the equals sign incorrectly.

Answers

Her work is correct, but there is one solution rather than no solution.

Solving linear equations

Linear equations are equations that has a degree of 1. Given the equation below;

3(2x + 1 ) = 2(x + 1) + 1

Expand

3(2x) + 3(1) = 2(x) + 2(1) + 1

Simplify

6x + 3 =2x + 2 + 2

6x + 3 = 2x + 3

Collect the like term

6x - 2x = 3 - 3

4x = 0

x =0

Hence we can conclude that Her work is correct, but there is one solution rather than no solution.

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