Wally rides his bicycle at an average speed of 13 miles per hour. How many miles will he travel in 4 1/2 hours? Please answer this quickly!

Answer:

2x⁴+x³-x²+54x+56

Step-by-step explanation:

Given the expression length of dylan room =  (x² – 2x + 8) and width = (2x² + 5x – 7), assuming the shap of the room is rectangular in nature, the formula for calculating area of a triangle is given as;

Area of rectangle = Length *Width

Area of the rectangle =  (x² – 2x + 8)(2x² + 5x – 7)

Area of the rectangle  = x²(2x² + 5x – 7) - 2x (2x² + 5x – 7) + 8(2x² + 5x – 7)

= (2x⁴+5x³-7x²)-(4x³+10x²-14x)+(16x²+40x-56)

expanding the bracket

= 2x⁴+5x³-7x²-4x³-10x²+14x+16x²+40x-56

Collecting the like terms;

= 2x⁴+5x³-4x³-7x²-10x²+16x²+40x+14x+56

= 2x⁴+x³-x²+54x+56

Hence, the expression that represents the area (lw) of Dylan's room is 2x⁴+x³-x²+54x+56

Answer:

2x^4+ x^3 - x^2 + 54x - 56 expression represents the area of Dylan’s room

Step-by-step explanation:

C on edge :)

Answer with explanation:

Given: Charlie is laying down mulch in his front yard. It takes Charlie 4 minutes to lay down 11 cubic yards of mulch and  16 minutes to lay down 44 cubic yards of mulch.

Here, Time(Independent variable (x)) is directly proportion to the Volume of mulch(dependent variable (y)) lied by Charlie.

Let k be the constant of proportionality, such that

[tex]k=\dfrac{y}{x}[/tex]

For x= 4 and k= 11, [tex]k=\dfrac{11}{4}[/tex]

Required equation: [tex]y=\dfrac{11}{4}x[/tex]                        

Two points are given in question: (4,11) , (16,44).

Take x= 8 , [tex]y=\dfrac{11}{4}(8)=22[/tex]i.e. point (8,22)

Similarly, for x= 12, y=33 i.e. point (12, 33)

For x= 20 , y= 55 i.e. point (20,55)

Five data points: (4,11) , (16,44), (8,22),  (12, 33), (20,55).

Now, we plot these points on graph and join them

Answer:

Here

Step-by-step explanation:

Answer:

x=1

x=-2

Step-by-step explanation:

(3x-3)(x+2)

x=1

x=-2

Answer:

a. 24

b.600

c.36

d. No

Step-by-step explanation:

a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.

b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.

c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36

d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.

Answer:

  C. (2, 6] hour jobs cost $100

Step-by-step explanation:

Let's consider each of these statements in view of the graph:

Answer:

(0,8) first option     and  50,100 or 200 in the second option

Step-by-step explanation:

Answer:

A. 141.4 cm

Step-by-step explanation:

The piramide is 141.4cm

Answer:

both the equation and it's inverse are functions

Answer:

5

Step-by-step explanation:

Answer:

  x = 5 is the solution

Step-by-step explanation:

See the attachment for table values.

  f(x) = g(x) for x = 5

The solution to the equation ...

  2.5x -10.5 = 64(0.5^x)

is x = 5.

Answer:

8 ft

Step-by-step explanation:

We can use ratios to solve

tree                          Otis

--------------------  = --------------

tree shadow          Otis shadow

tree                   4 ft

-------------- = ----------------

9 ft                   4.5 ft

Using cross products

4.5 tree = 4* 9

4.5 tree = 36

Divide each side by 4.5

tree = 36/4.5

tree =8

Answer:

[tex]y\ =\ \left|\frac{1}{2}x-2.5\right|+3[/tex]

Step-by-step explanation:

Look at the image below ↓

Answer:

Check below the graph.

Step-by-step explanation:

Hi, for this function, check the graph below:

1) Note that in this function the value outside the brackets points how high the graph will be traced.

2) The value within the brackets, points since it's a negative expression how far to the right the graph will be traced.

Answer:

pretty sure this is right

Answer:

Step-by-step explanation:

In this problem we are going find the natural logarithmic of the numbers involved and solve for x

[tex]ln65-Ln x= 39\\[/tex]

from tables

[tex]4.17-ln x= 39\4.17-39= lnx\\-34.83=lnx\\[/tex]

taking the exponents of both sides we have

[tex]e^-^3^4^.^8^3= x\\x= 7.47[/tex]

Answer:

19.5 km

Step-by-step explanation:

the actual distance between Harry and the Sea view:

if 24 km is 5 cm on map

24*4/5= 19.5 km

Answer:

Yes, the ordered pair is correct.

Explanation:

You can check the if the ordered pair by substituting the values into the equation. If you substitute the ordered pair (1, 3), then you can make sure the ordered pair is correct. The equation with the substitution will be 3 = 1 + 2, which results in the true equation 3 = 3, therefore the ordered pair is correct.

Answer with explanation:

After dilation about the origin(0,0) with the scale factor of 'k" , the image of the original point (x,y) becomes (kx,ky)

From the given graph, the coordinates of point C = (0,6)  [Since it lies on y-axis , the x-coordinate is zero]

After a dilation about the origin(0,0) with the scale factor of [tex]\dfrac{1}{2}[/tex], the new point will be [tex](\dfrac{1}{2}\times0,\dfrac{1}{2}\times6)=(0,3)[/tex]

Now plot this point on y-axis at y=3 as given in the attachment.

Answer:

I believe the unit price would be 2.39 per unit

Step-by-step explanation:

Answer: If a scatterplot is included in the assignment

The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.

Step-by-step explanation:  Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.

Answer:

x=1.94

x = - 1.94

Step-by-step explanation:

8x² + 5 = 35

Subtract 5 from each side

8x² + 5-5 = 35-5

8x²  = 30

Divide each side by 8

8x² /8 = 30/8

x² = 15/4

Take the square root of each side

sqrt( x²) = ±sqrt(15/4)

x = ±sqrt(15/4)

x=1.93649

x = - 1.93649

To the nearest hundredth

x=1.94

x = - 1.94

Answer:

1.94

Step-by-step explanation:

[tex]8x^2+5=35\\8x^2=30 \\x^2=30/8\\x^2=3.75\\\sqrt{3.75} \\[/tex]

≈ ±1.94

Answer:

Step-by-step explanation:

This is a probability question and we have to calculate the sample size.

given the sample size S= 30

3 rode a bike

7 drove a car

20 rode bus

The probability of selecting a person that will take a bus is

[tex]Pr(bus)= 20/30= 2/3[/tex]

Answer:

z = 44

Step-by-step explanation:

26/z = 13/22

Using cross products

26 * 22 = 13*z

Divide each side by 13

26/13 * 22 = 13z/13

2 *22 =z

44 =z

Answer:

Z=44

To solve this proportion, you have to isolate z. You have to do what you do on one side of the equal sign to the other as well.

Answer:

[tex]\dfrac{1}{x^{48}y^{36}z^{6}}[/tex]

Step-by-step explanation:

[tex] (\dfrac{(x^2y^3)^{-2}}{(x^6y^3z)^{2}})^3 = [/tex]

[tex] = (\dfrac{1}{(x^6y^3z)^{2}(x^2y^3)^{2}})^3 [/tex]

[tex] = (\dfrac{1}{x^{12}y^6z^{2}x^4y^6})^3 [/tex]

[tex]= (\dfrac{1}{x^{16}y^{12}z^{2}})^3[/tex]

[tex]= \dfrac{1}{x^{48}y^{36}z^{6}}[/tex]

Answer:

[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]

Step-by-step explanation:

[tex]\displaystyle[\frac{(x^2 y^3)^{-2}}{(x^6 y^3 z)^2 } ]^3[/tex]

[tex]\displaystyle \frac{(x^2 y^3)^{-6}}{(x^6 y^3 z)^6 }[/tex]

[tex]\displaystyle \frac{(x^{-12} y^{-18})}{(x^{36} y^{18}z^6 ) }[/tex]

[tex]\displaystyle \frac{x^{-48} y^{-36}}{z^6 }[/tex]

[tex]\displaystyle \frac{1}{x^{48}y^{36}z^6}[/tex]

Answer:

4

Step-by-step explanation:

The coordinates are: A(0,0), B(1,4), C(2,8), D(3,12), E(4,16)

Using coordinates B and D, slope = (12 - 4)/(3 - 1) = 8/2

        ∴ slope = 4

Answer:

4

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Answer:

The first 3x^2 + 2x is a second degree polynomial, so it's a quadratic binomial (2 terms).  The second 2x^2 - 5x + 3 is a second degree trinomial (3 terms), and the third is a monomial (1 term).  Not sure if that's what you were looking for.

Step-by-step explantion:

Answer:

2.5, -1.8

Step-by-step explanation:

½(x¹+x²) ,½(y¹+y²)

½(3.5+1.5) ,½(2.2+(-4.8)

½(5.0), ½(2.2-4.8)

2.5 ,½(-3.6)

2.5, -1.8

Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol

Answer:

b > 3 2/15

Step-by-step explanation:

To make it easier to solve convert the mixed fraction to a fraction.

2 3/5 = 13/5

Now, multiply the fraction by 3/3 so that you will have a common denominator.

13/5 × 3/3 = 39/15

Now you solve for b.

39/15 < b - 8/15

39/15 + 8/15 < (b - 8/15) + 8/15

47/15 < b

b > 47/15

Convert the fraction to a mixed fraction to find the answer

47/15 = 3 2/15

b > 3 2/15

==========================================================

Explanation:

Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.

Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.

The base is 1 unit as it spans the original square's side length

base = 1

height = 3/4

area of triangle = (1/2)*(base*height)

area of triangle = (1/2)*(1*3/4)

area of triangle = 3/8

ratio of triangle area to square area = (triangle area)/(square area)

ratio of triangle area to square area = (3/8)/1

Answer:

3/8

Step-by-step explanation:

let side of square=x

Area of a square =x^2

height of a triangle= 3x/4  ( 4/4=1/4) since height is only 3x/4 from the square)

( base =x same side as a square)

Area of a triangle=1/2 bh=1/2(x*3x/4)= 3x^2/8

the ratio of shaded triangle to the area= (3x^2/8)/x^2=3x^2/8x^2=3/8

Answer:

No, it doesn't make sense because the output is not feasible.

Step-by-step explanation:

We are told that the function g(x) represents the number of items collected.

Now, we are also told that x is the number of people who donated.

Now, if we want to consider a possible solution of (60, 10) .

It means, we now have; g(60) = 10

This means that 60 people donated and 10 items were collected.

It doesn't make sense that 60 people donated items and only 10 items were available to be collected.

Thus, we can say that ;

No, it doesn't make sense because the output is not feasible.