4, 5, 5, 6, 7, 8, 8,9
What is the range?

The number of hours Nick took to reach the shopping mall in terms of r  is ; 3.14  hours.

Rate is a measure of a quantity using another quantity as the basis.

Analysis:

speed travelling on foot = r

distance travelled on foot = 5 miles

time taken = 5/r

speed travelling on bicycle 80 percent faster than on foot is 1.8r

distance travelled on bicycle = 8 miles

time taken = 8/1.8r = 40/9r

total time taken to get to the mall = 5/r + 40/9r = 85/9r

speed while walking = 3 miles per hour = r

time taken = 85/9 x 3 = 3.14 hours

In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14  hours.

Learn more about Time to reach a distance : https://brainly.com/question/17146782

#SPJ1

Answer:

3 hours 9 minutes

Answer:

The force of gravity experienced by the shuttle would be 1.6675×10^N

Answer:

Step-by-step explanation:

-8p^2 + 6p + 28p - 21

-8p^2 + 34p - 21

Answer:

-8p² + 34p - 21

Step-by-step explanation:

(-2p + 7)(4p-3)

= -2p*4p -2p*-3 + 7*4p + 7*-3

= -8p² + 6p + 28p - 21

= -8p² + 34p - 21

The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10. Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients.

The polynomial is given below.

5s⁶t² + 6st⁹ – 8s⁶t² – 6t⁷

Then polynomial can be arranged as

⇒ 6st⁹ + 5s⁶t² – 8s⁶t² – 6t⁷

⇒ 6st⁹ – 3s⁶t² – 6t⁷

The polynomial 6st⁹ – 3s⁶t² – 6t⁷ has 3 terms and the degree of the polynomial is 10.

Then the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ1

Answer:

The radius is 4.

Step-by-step explanation:

Concepts:

To figure this out:

R = 1/2 d

R = 1/2 8

R = 4

In the given fraction, we have the value of 1 divided in four portions and we just have to identify which portion does A and B fall into

This can be defined as a part of portion of a complete value.

In the first part, the portion A is representing 1 out of 5 parts. So, the fraction of A is

[tex]A = \frac{1}{5}[/tex]

In the second fraction B, we can say that B is representing 3 out of 5 parts.

[tex]B = \frac{3}{5}[/tex]

From the above, the value of A and B are

Learn more on fractions here;

https://brainly.com/question/11562149

#SPJ1

Answer:

what man we can barley see

Step-by-step explanation:

The mass of each book in grams if each box weighs 20 kilograms is 2000 grams

1 kilograms = 1000 grams

20 kilograms = 20,000 grams

Mass of each book in grams = 20,000 grams / 10

= 2000 grams

Learn more about kilograms to grams:

https://brainly.com/question/9301317

#SPJ1

Answer:

D. 13

Step-by-step explanation:

13 is the answer I guess I hope it will be the right answer

Answer:

sh 90,000

Step-by-step explanation:

let x be the total amount left , then

x = [tex]\frac{1}{3}[/tex] x + [tex]\frac{2}{5}[/tex] x + 24,000

multiply through by 15 ( the LCM of 3 and 5 ) to clear the fractions

15x = 5x + 6x + 360,000

15x = 11x + 360,000 ( subtract 11x from both sides )

4x = 360,000 ( divide both sides by 4 )

x = 90,000

the total amount left was sh 90,000

The time it will take to fill the vat if both pipes are left open is = 4.3 hours

The number of pipes a vat has = 2

The time it takes the inlet pipe to fill the vat = 3hrs

The time it takes the outlet pipe to empty the vat= 10hrs

Therefore, the time it will take to fill the vat if both pipes are left open is;

1/t = 1/3-1/10

1/t = 7/30

Make t the subject of formula,

t = 30/7

t= 4.3 hours

Learn more about hours here:

https://brainly.com/question/291457

#SPJ1

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the length of the field and y represent the width of the field, hence:

Deion has 62 m of fencing:

2(x + y) = 62

x + y = 31

y = 31 - x     (1)

The area of the land is 228 square meters. hence:

xy = 228

x(31 - x) = 228

x² - 31x + 228 = 0  

x = 12 or x = 19

when x = 12; y = 31 - 12 = 19

when x = 19; y = 31 - 19 = 12

The dimensions of the the plot of land is a length of 19 meters and width of 12 meters.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

enter traverse Does the middle traverse indeed bisect the triangle?

Angles In the triangle ABC, the ratio of angles is: a:b = 4: 5. ...

Triangle P2 Can a triangle have two right angles?

Diagonal Can be a diagonal of diamond twice longer than it side?

Similarity coefficient The triangles ABC and A "B" C "are similar to the similarity coefficient 2. ...

That how u find the area

It wont always be easy, but always try to do what ' s right!

   In a world of worriers, be the warrior!

        When nothing goes right, go left.

Answer;

The area of a triangle is the region enclosed between the sides of the triangle. Area of ΔABC = 1/2 × Base × Height. Let us know the basics of the area of a triangle. If ABC is an equilateral triangle, Area of ΔABC = (√3/4)a2 where a is the length of a side of the equilateral triangle.

Answer:

[tex]\frac{1}{102}[/tex]

Step-by-step explanation:

1) Negative Power Rule: [tex]x}^{-a}=\frac{1}{{x}^{a}}[/tex].

[tex]\frac{1}{3}\div 34[/tex]

2) Use this rule: [tex]a\div \frac{b}{c}=a\times \frac{c}{b}[/tex].

[tex]\frac{1}{3}\times \frac{1}{34}[/tex]

3)  Use this rule: [tex]\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}[/tex].

[tex]\frac{1\times 1}{3\times 34}[/tex]

4) Simplify [tex]1\times 1[/tex] to [tex]1[/tex].

[tex]\frac{1}{3\times 34}[/tex]

5) Simplify  [tex]3\times 34[/tex] to [tex]102[/tex] .

[tex]\frac{1}{102}[/tex]

Answer:

Step-by-step explanation:

BASICALLY ANYTHING WITH 3

Answer: [tex](x+4)^{2}+(y+4)^{2}=46.24[/tex]

Step-by-step explanation:

[tex](x+4)^{2}+(y+4)^{2}=6.8^{2} \\(x+4)^{2}+(y+4)^{2}=46.24[/tex]

Answer:

1/5x + 2

Step-by-step explanation:

hope this helps

Answer:

1.1a+3.5b

Step-by-step explanation:

Answer: A. negative 3 over 5 is located on the right of −2

Step-by-step explanation:

On a number line, the greater numbers are to the right and the smaller numbers are to the left.

Answer:

The correct answer is infinite. The equation is always true.

To complete this task classify the shapes by considering both the color and the features of the shape.

Note: This question is incomplete because the shapes are not given; due to this, the answer is based on general knowledge.

Learn more about shapes in: https://brainly.com/question/2391558

#SPJ1

The solutions of the function are:

The equation is given as

[tex]\frac{3}{4} x-1\\\\[/tex]

When x = -4

3/4 * -4 -1

= -12/4 - 1

= -4

When x = -2

3/4*(-4) - 1

= -6/4 - 1/1

Take the lcm

-10/4

= -5/2

When x = 0

3/4(0) - 1

= -1

When f(x) = -4, the solution is -4

When f(x) = -2, the solution is -5/2

When f(x) = 0, the solution is -1

Read more on real numbers here:

https://brainly.com/question/155227

#SPJ1

The triangles with the side lengths 10 ft, 24ft, 26 ft, is a right triangle while a triangle with side lengths of 7 yd, 5 yd, 9 yd is NOT based on the Pythagorean theorem.

A triangle is said to be a triangle based on the Pythagorean theorem, if the square of the longest side equals the sum of the squares of the other smaller sides of the triangle.

9² = 7² + 5²

81 = 74 (NOT TRUE), therefore, the triangle with the side lengths 7 yd, 5 yd, 9 yd, is not a right triangle.

26² = 10² + 24²

676 = 676 (TRUE), therefore, the triangle with the side lengths 10 ft, 24ft, 26 ft, is a right triangle.

Learn more about right triangles on:

https://brainly.com/question/2437195

#SPJ1

Answer:

i hope the answer is clear to you

Step-by-step explanation:

i don’t know if I explained well but yeah here are the answers

Hope this helped!

The probability that the pointer lands in a region that is red or blue is 1/2

The spinner that completes the question is added as an attachment

From the attached spinner, we have:

The probability is then calcuated as:

P =Red or blue/Total section

This gives

P =4/8

Evaluate

P= 1/2

Hence, the probability that the pointer lands in a region that is red or blue is 1/2

Read more about probability at:

https://brainly.com/question/25870256

#SPJ1

What is true about the domain and range of the function is; The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Let us first find the roots of the function f(x):

0 = (x - 3)(x + 1)

(x - 3) = 0

x = 3

and (x + 1) = 0

x = -1

Therefore, the roots of the function are x = 3 and x = -1.

Now, the vertex is between the roots (x = 1) and has a negative value of y (y = -4), therefore, we can say that the concavity of the parabola is upwards.

This means that the graph is decreasing until it reaches the vertex, then the graph is increasing.

Therefore, we can conclude that the graph is positive and decreasing for all real values of x where x < -1.

Read more about domain of graph function at; https://brainly.com/question/15227113

#SPJ1

Answer:

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Step-by-step explanation:

The simplified Karnaugh maps are F(A, B, C) = A’B’ + AC , F(A, B, C) = C + AB’, F(A, B, C) = C’.

A Karnaugh map can be compared to a more advanced version of a truth table

In a K-map there are all the possible input variables and outcomes stored in cells.

It is a method to simplify and optimize Boolean expressions.

(a) m0 +m1+ m5+m7

Mapping the given function in a Karnaugh map,

The image is attached with the answer.

we can see two pairs

Pair-1 is m0 + m1

and Pair-2 is m5 + m7

= A’B’C’ + A’B’C + AB’C + ABC

= A’B’(C’ + C) + AC(B’ + B)

= A’B’ + AC

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = A’B’ + AC.

(b) F(1,3,5,4,7)

On Mapping the given function in a Karnaugh map, we will see

1 Pair and 1 Quad

Pair is m4 + m5

Quad is m1 + m3 + m5 + m7

= A’B’C + A’BC + AB’C + ABC + AB’C’ + AB’C

= A’C(B’ + B) + AC(B’ + B) + AB’(C’ + C)

(B +B' ) = 1 , (C’ + C) = 1

= A’C + AC + AB’

= C(A’ + A) + AB’

= C + AB’

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = C + AB’.

(c) m0+m2+m4+m6.

On Mapping the given function in a Karnaugh map, we will see

2 Pairs

Pair-1 is m0 + m4

Pair-2 is m2 + m6

= A’B’C’ + AB’C’ + A’BC’ + ABC’ = B’C’(A’ + A) + BC’(A’ + A)

= B’C’ + BC’

= C’(B’ + B)

= C’

Therefore the simplified Boolean expression for the given data is

F(A, B, C) = C’.

(d) (0,2,4,6)

It will have the same expression as that of Option (c)

To know more about Karnaugh Maps

https://brainlB.com/question/13384166

#SPJ1

[tex]3(x+4)=90\\x+4=30\\x=26[/tex]