The total cost of renting a cement mixer is given by the graph below.



The total cost of renting a forklift is given by the equation y = 30x + 30.

Which item has a higher initial/starting fee that must be paid no matter how many days it is rented for in order to rent it?

9514 1404 393

Answer:

  4 : 1

Step-by-step explanation:

Each segment joining midpoints is called a "midline." It is parallel to the segment not being joined, and is half its length. All the dimensions of the smaller triangle are half those of the larger triangle. (They are similar triangles.) The ratio of areas is the square of the ratio of side lengths:

  2² : 1² = 4 : 1 . . . . . . ratio of triangle areas

five is your slope line

Hi there!

The slope is -5.

Because

The equation of the line is written in slope-intercept form (y=mx+b)

m is the slope (-5)

Hope it helps!

If you have any question or query, feel free to ask!

~An excited gal

[tex]SparklingFlower[/tex]

The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.

Since the particle is at the origin when x(t) = 0, we have:

[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]

Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.

Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).

Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):

v(t) = dx/dt

[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]

Now, we can find the velocity at t ≈ 2.944:

[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]

v(t ≈ 2.944) ≈ 16.885

So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.

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9514 1404 393

Answer:

  (x, y) = (-2, -4)

Step-by-step explanation:

A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.

The two lines intersect at the solution point: (x, y) = (-2, -4).

Answer:

A

Step-by-step explanation:

Answer:

1 solution! X = 0

Answer:

30√85 or 276.5863 meters

Step-by-step explanation:

Use pythag theorom. a^2+b^2=c^2

180^2+210^2=c^2

c=276.5863

Answer:

let 2? be 2y

2y+y^2-563=0

2y+y^2=0+563

2y+y^2=563

3y^2\3=563\3

y=13.69

Answer:

m>7

Step-by-step explanation:

-7m+10<-39

-7m<-39-10

-7m<-49

7m>49

m>7

Answer:

4 7/20

Step-by-step explanation:

8 1/4 - 3 9/10

get a common denominator of 20

8 1/4 *5/5 - 3 9/10 *2/2

8 5/20 - 3 18/20

borrow 1 from the 8 in the form of 20/20

7 +20/20 + 5/20 - 3 18/20

7 25/20 - 3 18/20

4 7/20

Answer: 4.35

Step-by-step explanation: 8 1/4 as a decimal is 8.25. 3 9/10 as a decimal is 3.9. 8.25 - 3.9 = 4.35.

The two tangent theorem states that if we draw two lines from the same point which lies outside a circle, such that both lines are tangent to the circle, then their lengths are the same.

Which means that DB = CB

Which means that 10x + 16 = 5x + 20

10x - 5x = 20 - 16

5x = 4

x = 4/5

And so the length of CB is

5 * 4/5 + 20 = 4+20 = 24

Good LUCK :)

Answer:

C. 213.65 = 12.3(I+ 4.3)​

Step-by-step explanation:

Original length: l

New length: l + 4.3

area: LW

area: 213.65 m²

area = LW = (l + 4.3)(12.3)

(l + 4.3)(12.3) = 213.65

12.3(l + 4.3) = 213.65

Answer: C. 213.65 = 12.3(I+ 4.3)​

Answer:

-101,430

Step-by-step explanation:

23 x 98 x 45 x 1 equals 101,430, but the real trick of the question is whether it is positive or negative.

23(-98) forms a negative number (-2,254)

-2254(-45) forms a positive number (101,430)

101,430(-1) forms a negative number (-101,430)

Answer:

70%

Step-by-step explanation:

Try this option (for more info see the attachment):

1) Area=Area (ABCD)-Area(EFGH);

Area=6*9-3*3=45 [m²];

2) P(ABCDEFGH) = AB+BC+CD+DE+EF+FG+GH+HA = 6+9+6+3+3+3+3+3= 2*6+9+3*5=36 [m].

Step-by-step explanation:

the formula is ax^2+bx+c

the vertex is (-b/2a)i^

find it and put it on function and the j^ of the vertex is found which is -delta/4a

Answer:138

Step-by-step explanation:

2x+49=5x+19

x=10

mqp = 7x+68

mqp = 138

Answer:

1 -9 09u and than add

Step-by-step explanation:

Answer:

980

Step-by-step explanation:

900+80=980

The three points that represents the proportional relationship will be;

⇒ (2 , 4) (3, 6) and (5, 10)

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The number cards are,

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Now,

Since the proportions represents the equivalent ratios.

Hence,

We can take the points which represents the equivalent ratio.

So, We get the points as;

⇒ (2 , 4) (3, 6) and (5, 10)

Because all the ratio between every points represents the equivalent ratio.

That is;

2 : 4 = 1 : 2

3 : 6 = 1 : 2

5 : 10 = 1 : 2

Therefore,

The three points that represents the proportional relationship will be;

⇒ (2 , 4) (3, 6) and (5, 10)

Learn more about the proportions visit:

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Answer:

I got -1/2

Step-by-step explanation:

Answer:

.05x+50=55

100 minutes

Step-by-step explanation:

simplify

.05x=5 (subtract 50 on both sides)

5/.05=x

100=x

she can call for 100 minutes

Answer:

(6 + f) + 10

f + 16

Answer:

✓ 42.25-39.85=2.437+1 1/4= 38.2539.25-38.25=1Eric came closer.\\

Step-by-step explanation:

:]

Answer:

eric came closer

Step-by-step explanation:

Answer:

triangle 1. 10•6=60m²

triangle 2. 25•14= 350cm²

* in case u need help, to find the area of a triangle use this formula;

b • h = a

base • height = area

hope this helps

#1

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}BH[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}(6)(10)[/tex]

[tex]\\ \sf\longmapsto 3(10)=30m^2[/tex]

#2

Area:-

[tex]\\ \sf\longmapsto \dfrac{1}{2}(25)(14)[/tex]

[tex]\\ \sf\longmapsto 25(7)[/tex]

[tex]\\ \sf\longmapsto 175cm^2[/tex]

Answer:

a = 3x

b = -6x^2

c = 4

Step-by-step explanation:

to find b we have to multiply (x - 3) with 2x^2

= 2x^3 - 6x^2

b = - 6x^2

to find a

in the second step of division to get -9x

we have to multiply x - 3 with 3x

a = 3x

to find c we have to add next term after x in the first equation that is 4

in equation 8x + 4

so c = 4

Answer:

<3 and <6 are alternate interior angles

<4 and <6 are consecutive interior angles

<4 and <5 are alternate interior angles

<3 and <5 are consecutive interior angles

Step-by-step Explanation:

See attached images for examples of the angles.

Hope this helps!

Step-by-step explanation:

hope it helps thanks this is the answer

Answer:

At 10:05 a.m., there are 2 microscopic bacteria cells in the bottle. How many cells will be in the bottle at 10:15 a.m.?

Step-by-step explanation: