There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?

5(2)^2-2(7) = 6

6(7+2)/2 = 27

Therefor the correct answer is the < symbol.

I hope this helps! :)

Answer:

-5n+12

Step-by-step explanation:

find the difference which is -5

then find the difference from -5 to 7 which is 12

put it in the sequence

-5n+12

Answer:

-5n+12 that would be your equation                                        

Answer:

Exact Form:

35/12

Decimal Form:

2.916- (6 goes on)

Mixed Number Form:

2 11/12

Answer:

157°

Step-by-step explanation:

Sum of interior angles of polygon

(n-2)*180 ---- n = total number of sides

7 angles, 7 sides

5*180 = 900

final angle will be

900-162-115-125-138-105-98

=157

Answer:

157

Step-by-step explanation:

it is obvious that it's a heptagon

so (n-2) x180

n=7

(7-2) x 180 =900

900-162-115-125-138-105-98

900-743=157

final unknown=157°

Answer:

[tex]\sqrt{81}[/tex] = 9

[tex]\sqrt{169}[/tex] = 13

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

A x b does not equal to A + b. Addition and mutiplication is different.

Answer:

16: 5

17: 6 4/9

Step-by-step explanation:

I only will give u the answer for a few questions

Step-by-step explanation:

Given the following systems of linear equations, 2x + y = 5, and 3y = 9 − 6x

The slope-intercept form is: y = mx + b, where m = slope, and b = y-intercept.

Subtract 2x from both sides:

2x - 2x + y = - 2x + 5

y = -2x + 5 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 5.

Divide both sides by 3 to isolate y:

3y = − 6x + 3

[tex]\frac{3y}{3} = \frac{-6x + 9}{3}[/tex]

y = -2x + 3 ⇒ This is the slope-intercept form, where the slope, m = -2, and the y-intercept, b = 3.

y = -2x + 5

y = -2x + 3

These equations have the same slope, m = -2.

They have different y-intercepts.

y = -2x + 5  ⇒ The y-intercept is (0, 5), where b = 5.

y = -2x + 3  ⇒ The y-intercept is (0, 3), where b = 3.

The equations have the same slope but different y-intercepts, meaning they are parallel lines that run parallel to each other and are spaced vertically apart by a difference of 2 units.

Step 1: Write each equation in slope-intercept form.

Given system of equations:

1. 2x + y = 5

2. 3y = 9 - 6x

Slope-intercept form of an equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's rewrite the equations in slope-intercept form:

1. 2x + y = 5

  Subtract 2x from both sides: y = -2x + 5

2. 3y = 9 - 6x

  Divide both sides by 3: y = -2x + 3

Step 2: The equations have the same slope (-2) but different y-intercepts 5 and 3.

The common slope (-2) indicates that the lines represented by these equations have the same steepness or inclination.

The difference in y-intercepts means that the lines are parallel and run parallel to each other.

Learn more about Slope here:

https://brainly.com/question/3605446

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The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]

The area is given as:

[tex]\mathbf{A = 1000}[/tex]

Let the dimension be x and y.

So, we have:

[tex]\mathbf{A = xy = 1000}[/tex]

Make x the subject

[tex]\mathbf{x = \frac{1000}{y}}[/tex]

The perimeter is calculated as:

[tex]\mathbf{P = 2(x + y)}[/tex]

Substitute [tex]\mathbf{x = \frac{1000}{y}}[/tex]

[tex]\mathbf{P = 2(\frac{1000}{y} + y)}[/tex]

Expand

[tex]\mathbf{P = \frac{2000}{y} + 2y}[/tex]

Differentiate

[tex]\mathbf{P' = -\frac{2000}{y^2} + 2}[/tex]

Set to 0

[tex]\mathbf{ -\frac{2000}{y^2} + 2 = 0}[/tex]

Rewrite as:

[tex]\mathbf{ -\frac{2000}{y^2} = -2}[/tex]

Divide both sides by -1

[tex]\mathbf{\frac{2000}{y^2} = 2}[/tex]

Multiply y^2

[tex]\mathbf{2000 = 2y^2}[/tex]

Divide by 2

[tex]\mathbf{1000 = y^2}[/tex]

Take square roots of both sides

[tex]\mathbf{y = \sqrt{1000 }}[/tex]

[tex]\mathbf{y = 10\sqrt{10 }}[/tex]

Substitute [tex]\mathbf{y = \sqrt{1000 }}[/tex] in [tex]\mathbf{x = \frac{1000}{y}}[/tex]

[tex]\mathbf{x = \frac{1000}{\sqrt{1000}}}[/tex]

[tex]\mathbf{x = \sqrt{1000}}[/tex]

[tex]\mathbf{x = 10\sqrt{10 }}[/tex]

Hence, the dimensions that minimize the perimeter are [tex]\mathbf{10\sqrt{10 },10\sqrt{10 }}[/tex]

Read more about perimeters at:

https://brainly.com/question/6465134

Answer:

y=4x+6

Step-by-step explanation:

slope intercept form y=mx+b

The total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x, according to the following equation:

y = 6 + x

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the following equation, the total number of pies Robert may bake, y, is determined by the number of cups of sugar he purchases, x:

y = 6 + x

This equation can be read as: "The number of pies Robert can bake, y, is equal to the number of pies he baked before he ran out of sugar, which is 6, plus the number of additional cups of sugar he buys, x."

For example, if Robert buys 2 additional cups of sugar, he can bake a total of 6 + 2 = 8 pies.

If he buys 3 additional cups of sugar, he can bake a total of 6 + 3 = 9 pies, and so on.

Learn more about the equations here:

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Answer:

Step-by-step explanation:

Answer:

3)  f'(x) = x + 10

4)  f'(x) = 6x - 18

5)  [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]

6)  f'(x) = ⅛x  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]  

Step-by-step explanation:

Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.  

y = x - 10

Step 2:  Switch x and y:

x = y - 10

Step 3: Add 10 to both sides to isolate y:

x + 10 = y - 10 + 10

x + 10 = y

Step 4: Replace y with f'(x):

f'(x) = x + 10  ⇒ This is the inverse function of f(x).

Replace f(x) with y:

Switch x and y:

Subtract 3 from both sides:

Multiply both sides by 6 to isolate y:

6x - 18 = y

Replace y with f'(x):

f'(x) = 6x - 18  ⇒ This is the inverse function of f(x).

Replace f(x) with y:

y = 3x + 7

Switch x and y:

x = 3y + 7

Subtract 7 from both sides:

x - 7 = 3y + 7 - 7

x - 7 = 3y

Multiply both sides by ⅓:

⅓(x - 7) = 3y (⅓)

[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]

Replace y with f'(x):

[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex]  or  [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]   ⇒ This is the inverse function of f(x).

Replace f(x) with y:

y = 8x

Switch x and y:

x = 8y

Multiply both sides by ⅛:

⅛(x) = ⅛(8y)

⅛x = y or  [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]  

Replace y with f'(x):

f'(x) = ⅛x  or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]   ⇒ This is the inverse function of f(x).

Answer:

16. 1 4/5

17. 2 2/3

18. 4/11

19. 4 1/2

20. 4/7

21. 1/2

22. 1 2/5

23. 2 1/2

24. 4 2/3

Step-by-step explanation:

1. subtract whole numbers first

2. subtract fractions next (simplify if you can)

3. subtract fractions and whole numbers

Answer:

-2

Step-by-step explanation:

4x - 7 > -17

(add 7 on both sides)

4x > -10

(divide both sides by 4 to isolate x)

x > - 2.5

An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.

Answer:

9/2

Step-by-step explanation:

m=∆y/∆x

m= (5+4)/(2—0)

m=9/2

Answer:

5 divided by 42 is 0.11 repeating

Step-by-step explanation:

Step-by-step explanation:

1hr = 60

½ hr = 30

60 + 30 = 90

Answer:

23

Step-by-step explanation:

the median is the "Middle" number of the set.21 and 25 are the middle numbers of the set. so now find the middle of 21 and 25.

21 22 23 24 25

23 is the median of the data set

A≈62.35

..................

we have 1,6Km is = to 2000 steps => 1 km = 1250 steps

=>  50km = 1250 x 50 = 62500 steps

so he'll have: 62500/1000 = 62,5 R1

ok done. Thank to me :>

Step-by-step explanation:

My favorite movie would have to be the Pirates of the Caribbean collection. Captain Jack sparrow aka Johnny Depp is is just great at his character.

Answer:

FREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XPFREE XP

Step-by-step explanation:

Answer:

tens place

Step-by-step explanation:

24 can't be into the thousands place or the hundreds place. hope this helps

Answer

 hundredths place

Step-by-step explanation:

When performing long division, the first digit of the quotient appears over the least significant digit of the first portion of the dividend that is greater than or equal to the divisor.

Here, when performing long division we compare ...

 64 vs 1 . . . no quotient digit

 64 vs 15 . . . no quotient digit

 64 vs 159 . . . the first quotient digit appears with the same place value as the 9 in 1.59. That is, the first quotient digit will be 0.02, 2 in the hundredths place.

Answer:

Step-by-step explanation:

A) $155.75(0.065) = 10.12375 = $10.12

B) $155.75 + $10.12 = $165.87

Answer:

Any point that does NOT have a positive 5 in the y position

2. a) 3 days.

b) 1 hour.

3. a) 20 km

b) 1200 l

We have to Find:

[tex] \sf \longmapsto5^{ - x }= 6[/tex]

Let's start.

[tex] \sf \longmapsto log(5^{-x}) = log(6) [/tex]

[tex] \sf \longmapsto - x \: log(5) = log(6)[/tex]

[tex] \sf \longmapsto - x = \dfrac{ log(6) }{ log(5) } [/tex]

[tex] \sf \longmapsto \: x = \dfrac{ -log(6) }{ + log(5)} [/tex]

Done