Doug entered a canoe race. He rowed 3 1/2 miles in 1/2 hour what is his average speed in miles per hour

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

Step-by-step explanation:

The relationship is the vertical shift of f(x) 1 unit down.

Correct choice is C

Answer:

The graph of g(x)is the graph of f(x) translated 1 unit down.

Step-by-step explanation:

y' = y - 1

Answer:

1/5+1/2²+3/10•5=1/7²+15/100

The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given expression,

(1/5+1/2)^2+3/10⋅5

⇒ (1/5+1/2)²+ 15/10

Take LCM in the bracket as 10

⇒ [(2 + 5)/10]² + 15/10

⇒ (7/10)² + 15/10

⇒ 49/100 + 15/10

Take LCM as 100

⇒ (49 + 150)/100 = 199/100

⇒ 1 99/100

Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Step-by-step explanation:

20-16/16 x100

4/16 X 100 = 25%

Answer:

jhhffffffffffffffffffffhfbrsjjssssssssssss

Step-by-step explanation:

Answer:

5/14

Step-by-step explanation:

add 5 and 9 to get the denominator

Answer:

9

Step-by-step expation:

Answer:

0.4

Step-by-step explanation:

type in a calculator 1 divide by 2.5 to get the answer

Temperature

the temperature in Sitka 2 hours after midnight is :

= 29.7°F + (2 × 1.23°F)

= 29.7°F + 2.46°F

= 32.16°F

So, the temperature in Sitka 2 hours after midnight is 32.16°F

#LearnWithEXO

Answer:

Step-by-step explanation:

After 2 hours the temperature is:

Answer:

98 per day

Step-by-step explanation:

490 / 5

= 98

Answer:

1. x = -1

2. y = -1, y = 2

3. y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]

4. x = -3; x = -6

Step-by-step explanation:

I will only produce work for questions 1 through 4, and you could follow the same steps for questions 5 and 6 so that you could learn and get used to solving quadratic equations. I am practically using the same techniques in solving questions 1 through 4 anyway.

1.) x² + 2x + 1 = 0

where a = 1, b = 2, c = 1

Determine the nature and number of solutions based on the discriminant, b² - 4ac:

b² - 4ac = 2² - 4(1)(1) = 4 - 4 = 0  

This means that the equation has one real root.  

Next, determine the factors of the quadratic equation.  

Use the perfect square trinomial factoring technique:

u² + 2uv + v² = (u + v)²

From the equation, x² + 2x + 1 = 0

where a = 1, b = 2, c = 1

Find factors with product a × c and sum b:

Possible factors:

product a × c :  1 × 1 = 1

sum b :  1 + 1 = 2

Therefore, the binomial factors of x² + 2x + 1 = 0 is (x + 1)²

To find the roots, set x = 0:

x + 1 = 0

Subtract 1 from both sides to isolate x:

x + 1 - 1 = 0 - 1

x = -1  (This is the root of the equation).

2)  y² - y - 2 = 0

where a = 1, b = -1, and c = -2

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b²  - 4ac = (-1)² - 4(1)(-2) = 9  

Since b² - 4ac > 0, then it means that the equation will have two real roots.

From the equation, y² - y - 2 = 0

where a = 1, b = -1, and c = -2:

Find factors with product a × c and sum b:

 Product a × c :  

1 × -2 = -2

-1 × 2 = -2

Sum b:  

1+ (-2) = -1

-1 + 2 = 1

Therefore, the possible factors are: 1 and -2:

(y + 1) (y - 2)

To find the roots, set y = 0:

y + 1 = 0

Subtract 1 from both sides:

y + 1 - 1 = 0 - 1

y = -1

y - 2 = 0

Add 2 to both sides:

y -2 + 2 = 0 + 2

y = 2

Therefore, the roots of the quadratic equation, y² - y - 2 = 0 are: y = -1 and y = 2.

3.)  y² + y + 1 = 0

where a = 1, b = 1, and c = 1

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (1)2 - 4(1)(1) = -3

Since b² - 4ac < 0, then it means that the equation will have two complex roots.

Use the Quadratic Formula:

[tex]y = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]y = \frac{-1 +/- \sqrt{1^{2} - 4(1)(1)} }{2(1)}[/tex]

[tex]y = \frac{-1 +/- \sqrt{1 - 4} }{2}[/tex]

[tex]y = \frac{-1 +/- \sqrt{-3} }{2}[/tex]

[tex]y = \frac{-1 +/- i\sqrt{3} }{2}[/tex]

Therefore, the roots of the quadratic equation, y² + y + 1 = 0 are:

y = -½ + i [tex]\frac{\sqrt{3} }{2}[/tex]; y = -½ - i [tex]\frac{\sqrt{3} }{2}[/tex]

4) x² + 9x + 18 = 0

where a = 1, b = 9, and c = 18.

Determine the nature and number of solutions based on the discriminant, b² - 4ac:  

b² - 4ac = (9)2 - 4(1)(18) = 9

Since b² - 4ac > 0, then it means that the equation will have two real roots.

Use the Quadratic Formula:

[tex]x = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}[/tex]

[tex]x = \frac{-9 +/- \sqrt{9^{2} - 4(1)(18)} }{2(1)}[/tex]

[tex]x = \frac{-9 +/- \sqrt{9} }{2}[/tex]

[tex]x = \frac{-9 + 3}{2}; x = \frac{-9 - 3}{2}[/tex]

[tex]x = \frac{-6}{2}; x = \frac{-12}{2}[/tex]

x = -3; x = -6

Therefore, the roots of the quadratic equation, x² + 9x + 18 = 0

are: x = -3 and x = -6.  

Answer:

y+2 = (-1/2)(x-3)

Step-by-step explanation:

Answer:

[tex]\frac{2}{5\\}[/tex] + [tex]\frac{5}{10}[/tex]= [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Because this is not multiplication or diving you must find the same denominator, which is 10. Now, because 5/10 is already 10 I don't need to change that, but if you see that 2/5 does not have the denominator of 10. Then, I need to multiply 2 on the numerator and the denominator because 5(2) equals 10 and whatever is multiplied to the denominator has to be multiplied to the numerator. So. now the numerator is 4. Lastly, what you need to do is add them together. So, (2+5)=7 and the denominator is stays as 10 because it is addition. So, our final answer is 9/10

[ Hope that helped :) ]

Answer:

D) 22

Step-by-step explanation:

40-8-10=22

8=20%

10=¼

Answer:

He sold 22 books online.

Step-by-step explanation:

20% of 40 books is 8.

40-8=32

Again,

1/4 of 40 is 10

Now,

Remaining books =40-(8+10)

=40-18

=22

Answer:

25 is already in the simplest form. It can be written as 0.4 in decimal form (rounded to 6 decimal places).

so its in its simplest form

Answer:

4 2/5 or 4.4

Step-by-step explanation:

2/5 x 11

22/5

Make sure to turn it into a mixed number.

Answer:

[tex]{ \rm{3(x - 4) - 12 = 2(x - 6) + 8}} \\ \\ { \rm{3x - 12 - 12 = 2x - 12 + 8}} \\ \\ { \rm{3x - 24 = 2x - 4}} \\ \\ { \rm{3x - 2x = - 4 + 24}} \\ \\ { \rm{x = 20}}[/tex]

Answer:

Step-by-step explanation:

Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:

Correct choice is C

Distance

[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36}[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

Answer:

=100.53

Step-by-step explanation:

Answer:

4x+12

I think that's it............

Answer: 92.5

Step-by-step explanation:

96 93 93 92 91 84 are your highs and to find the mean you cross one on each side until there is only one or 2 left.

you are left with 93 and 92 so you add them together and divide by two to get 92.5 which is your answer

Answer:

Working: 7/10

defective:3/10

Step-by-step explanation:

Just trust me

Answer:

The flagpole is 12 feet

Step-by-step explanation:

The boy's shadow is half of the flagpole's shadow. So the flagpole is 2 times as much as 6 ft because the boy is six feet. 6 x 2 = 12. So the final answer is 12 ft.

Answer:

Step-by-step explanation:

Perimeter formula:

Given:

Find the value of x:

BC is parallel side to AD and is:

BC must parallel to DA hence equal

Now

BC=2(6)=12units