Identify the unit rate in the graph.
A. 40mph
B. 75mph
C. 50mph
D. 25mph

Answer: 21 miles

Step-by-step explanation:

9514 1404 393

Answer:

  √40 ≈ 6 4/13 ≈ 6.31

Step-by-step explanation:

The estimate by linear approximation starts with the recognition that ...

  40 = 36 +4 = 6² +4

and the difference from 36 to the next square, 7² = 49 is 49-36 = 13.

The linear approximation to √40 is ...

  √40 ≈ 6 4/13 ≈ 6.31

__

There are various methods for improving this approximation. Perhaps the fastest improvement is obtained using the "Babylonian method." The next iteration is the average of this value and 40 divided by this value.

  (82/13 +40/(82/13))/2 = 6 173/533 ≈ 6.3246 . . . . accurate to 4 decimal places

_____

Additional comment

When you write the value in terms of a square and a remainder:

  n = s² +r

then the above linear approximation of √n can be written as ...

  √n ≈ s +r/(2s+1)

Using the idea that a square root can always be represented by a continued fraction, we can continue the fraction one more iteration to give a slightly better approximation:

  √n ≈ s +r(2s+1)/(2s(2s+1) +r)

For the case at hand, this gives √40 ≈ 6+52/160 = 6 13/40 = 6.325, accurate to 3 decimal places. Additional iterations using the continued fraction idea can be had using ...

  n'' = s + r/(s +n') . . . . . where n' is an approximation of the root and n'' is a better approximation. This does not converge as fast as the Babylonian method, but may be easier to calculate on some calculators.

Answer:

48.40

Step-by-step explanation:

Very simple. This is similar to calculating HST on something.

25%=0.25

38.72*0.25=9.68

38.72+9.68=

Answer:

the first one is c

Step-by-step explanation:

i did just did it

Answer:

Step-by-step explanation:

14+18=32

14/32,18/32

7/16,9/16

Answer:

[tex]2<p<6[/tex]

Step-by-step explanation:

If it is less than [tex]6[/tex], it must have [tex]p<6[/tex].

If it is greater than [tex]2[/tex], it must have [tex]2<p[/tex].

We can combine these inequalities to get [tex]\boxed{2<p<6}[/tex].

The graph is left as an exercise to the reader.

Answer:

angle a is acute and angle b is obtuse

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

2376 square feet

Step-by-step explanation:

40 x 15 = 600

40 x 24 = 960

1/2 x (24 x 9) = 108

600 + 600 + 960 + 108 + 108 = 2376

Answer:

3

Step-by-step explanation:

According to the graph, three is the lowest point which is decreasing

Answer:

its 2 bc its going down

Step-by-step explanation:

Answer:

congruent (I am sorry if wrong)

Step-by-step explanation:

GI are 8 distance apart from each other

and so is HK

Answer:

2, not rational 4,not rational  3,yes rational 5,yes rational

Step-by-step explanation:

hopefully thats correct

Answer:

f(x) = 2x + 7

f(15) = 2(15) + 7 = 30 + 7 = 37

Answer:

$192

Step-by-step explanation:

It's a proportion question!!

9/432 = 43/x

9x = 432*4

9x = 1,728

Divide 9 on both sides to isolate x.

x = 1,728/9

x = 192

So, Reid's retirement party costs $192.

(I apologize if the answer is wrong!!)

9514 1404 393

Answer:

  no

Step-by-step explanation:

The graph of a proportional relation is a straight line through the origin. The origin of this graph is at lower left. The line is nowhere near that, so does not represent a proportional relation.

Answer:

Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.

A + B = 45

After that, make an equation out of the second sentence. "Difference" means subtraction.

A - B = 3

There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.

A + B = 45

A - B = 3

-------------

2A = 48

A = 24

Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.

A + B = 45

24 + B = 45

B = 21

This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!

Step-by-step explanation:

please mark me as brainlest

Answer:

you would use 3/4 of a gallon per room, so you would multiply 3/4 x 4., which equals 3 gallons

The indicated Z score according to the given graph will be z < -0.1635

The normal distribution has a mean-values between 0 and 1.

From the graph, we can see that zero is placed in the middle and the shaded portion is towards the left side of zero.

According to the number line, the numbers to the left-hand side of zero are always negative, hence the indicated Z score according to the given graph will be z < -0.1635

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Answer:

c

Step-by-step explanation:

h × b then Divide by 2......

Answer:

(- 12 , 2)

Step-by-step explanation:

f(x) -> f(kx)    |k| = |-3/4| = |- 0.75| = 0.75

0 < 0.75 < 1 , It's a horizontal stretch, (x,y) -> (x/k , y)

(9 , 2) -> (9 / (-3/4) , 2) -> (- 12 , 2)

Answer:

Step-by-step explanation:

7/16

419

318

1/2

Answer:

5 / 6

Step-by-step explanation:

2 [ ( 3x + 5 ) - 7 ] = 3 ( 4x - 3 )

2 [ ( 3x + 5 - 7 ] = 3 ( 4x - 3 )

2 [ 3x - 2 ] = 3 ( 4x - 3 )

6x - 4 = 12x - 9

12x - 9 = 6x - 4

12x - 6x = - 4 + 9

6x = 5

x = 5 / 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=5/6

Decimal Form:

x=0.8¯3

Answer:

SA= 678.24 in^2

Step-by-step explanation:

SA = (pi)(r^2) + (pi)(r)(l)

r = radius

h = height

l = slant height

Pi = 3.14

Slant height:

l^2 = h^2 + r^2

l = sqrt (144+81)

= 15

SA = (pi)(9^2) + (pi) (9) (15)

SA = 254.34 + 423.9

SA= 678.24 square inches

If the slant height of the cone is 15 inches. Then the surface area of the cone will be 678.58 square inches.

Find the area that its outer surfaces possess. The Sum of all those surface areas is the surface area of the considered object.

If a right cone has a radius of 9 inches and a height of 12 inches.

Then the surface area of a right cone will be

The slant height is given as

l² = 9² + 12²

l² = 81 + 144

l² = 225

l = 15

Then the surface area will be

Surface area = πr² + πrl

Surface area = π x 9² + π x 9 x 15

Surface area = 81π + 135π

Surface area = 216π

Surface area = 678.58 square inches

Learn more about the surface area here:

https://brainly.com/question/15096475

#SPJ2

Answer:

measure of angel VUT is 65°

Step-by-step explanation:

Angel UTP is 115° and to find UTV you subtract 115 from 180 to get 65°. And to find VUT you subtract 65 and 50 from 180 to get 65°

The required equations computed from the data given are :

Given the Parameters :

The Revenue Function, R(x) :

The Cost equation, C(x) :

The Profit function, P(x) ::

P(x) = R(x) - C(x)

P(x) = 860x - 5x² - (6000 + 120x)

P(x) = 860x - 5x² - 6000 - 120x

P(x) = 740x - 5x² - 6000

Number of apartments required to break even :

At break even ;

P(x) = 0

740x - 5x² - 6000 = 0

Divide through by 5

-x² + 148 - 1200 = 0

Using a quadratic calculator :

The roots are (139.39, 8.60)

Therefore. The company will break even at 139 apartments rented or 9 apartments.

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Answer:

1) 0.725.

2) 7/25.

3) 7.5%.

9514 1404 393

Answer:

  -5x^4 +6x^3 -x +3

Step-by-step explanation:

First, eliminate parentheses.

  (-4x^3+5x^2-x+3)-5(x^4-2x^3+x^2)

  = -4x^3 +5x^2 -x +3 -5x^4 +10x^3 -5x^2

Then collect terms.

  = -5x^4 +(-4+10)x^3 +(5 -5)x^2 -x +3

  = -5x^4 +6x^3 -x +3