You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?

Answer:

Distributive property says that:

(A + B)*C = A*C + B*C

Now let's try to use it in our expression:

3 + 5*c*(2 + 6*c)

Here we can take the two terms inside the parentheses as A and B, and the term that multiplies them as C, then distributing we get:

3 + (5*c)*2 + (5*c)*(6*c)

Now remember that the multiplications are associative and commutative, then we can write this as:

3 + (2*5)*c + (5*6)*(c*c)

3 + 10*c + 30*c^2

And we can't simplify it anymore.

Answer:

(x-3)²+(y+5)²=16

Step-by-step explanation:

[tex] \large \boxed{ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} }[/tex]

The equation above is an equation of circle with a centre at (h,k) and has radius = r

Substitute h = 3, k = -5 and r = 4 in the equation.

[tex] \large{ {(x - 3)}^{2} + {(y - ( - 5))}^{2} = {4}^{2} } \\ \large{ {(x - 3)}^{2} + {(y + 5)}^{2} = 16}[/tex]

Answer:

64 g

Step-by-step explanation:

Lets gather the Info

Amount needed = 161 g

Amount given = 97 g

Lets form an equation:

161 - 97 = x

x in this case is the number of grams needed to fulfill the amount needed.

161 - 97 = 64 g

He needs 64 g of cheese.

If my answer is wrong pls correct me.

If you like my answer and explanation pls mark me as brainliest.

-Chetan K

Answer:

similiar and congruent

Step-by-step explanation:

Answer:

triangle

Step-by-step explanation:

only look at the cut off part

Answer:

I believe that the shape is formed to be a circle

Answer:

seven hundred sixty eight ten thousandths

Step-by-step explanation:

Answer:

Seven hundred sixty-eight ten-thousandths

mark me as brainliest plz

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

Answer:

32

You’re... welcome?

Answer:

32

Step-by-step explanation:

The guest column is increasing at a rate of 8, so naturally, the next number would be 32. The cookie column is increasing by 3.

Answer:

x=6 y=4

Step-by-step explanation:

So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.

Answer:

184

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(2x - 1) + (2x - 1) + 127 + 127 = 360

n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.

(4x - 2) + 254 = 360

4x - 2 + 254 = 360

4x = 360 - 252

4x = 108

x = 108/4

x = 27

6y - 3y = 3y + 7

6y - 3y = 7 + 5

3y = 12

y = 12/3

y = 4

Answer:

Option (2)

Step-by-step explanation:

In this question we have to calculate the rate of earning or proportionality constant of Abigail.

Since, earning of Abigail (y) ∝ Time worked (t)

y = kt

Here, k = Proportionality constant

From the table attached,

If y = $709.80 and x = 21 hours

709.80 = 21k

k = [tex]\frac{709.8}{21}[/tex]

k = $33.80 per hour

Therefore, rat of earning or proportionality constant is $33.80

Option (2) will be the correct option.

Answer:

Step-by-step explanation:

Left Hand Side

Change to sin(theta) and cos(theta)

csc(theta) = 1/sin(theta)

cot(theta) = cos(theta)/sin(theta)

1/sin(theta) - cos(theta)/sin(theta)                   Put over Sin(theta) Common denominator

[1 - cos(theta)] / sin(theta)                                Multiply numerator and denominator by 1 + cos(theta)

(1 - cos(theta)(1 + cos(theta) ) / sin(thata)*(1 + cos(theta))

(1 + cos(theta)(1 - cos(theta)) = 1 - cos^2(theta)

sin^2(theta) / (sin(theta)* ( 1 + cos(theta)

sin(theta) / (1 + cos(theta) )

Right hand Side.

See Above.

Answer:

(r,0)

Step-by-step explanation:

5r - 5u = 5(r - u)

Polar time coordinate = 0

So (r, 0)

Answer:

i think x is 19.2

Step-by-step explanation:

solve x by cross multiplying

Answer:

A: 6 kilo bag B: He should buy two 10 pound bags.

Step-by-step explanation:

Brainliest?

The 6-kilogram pack of sand for $20 is a better value. Then the amount of money for 18 pounds of sand will be $27.18.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h which means the car travels 20 km in one hour.

Enzo requirements to get some sand for his sandbox. He can either purchase a 10-pound sack of sand for $18 or a 6-kilogram pack of sand for $20.

The rate in the first case is written as,

⇒ 18/10

⇒ $1.8 per pound

The rate in the second case is written as,

⇒ 20/6

⇒ $3.33 per kilogram

⇒ $1.51 per pound

The 6-kilogram pack of sand for $20 is a better value.

Then the amount of money for 18 pounds of sand will be given as,

⇒ $1.51 x 18

⇒ $27.18

Thus, the amount of money for 18 pounds of sand will be $27.18.

More about the rate link is given below.

https://brainly.com/question/14731228

#SPJ2

the answer is 10ft hope I helped

Answer:

= 162

1782 divided by 11 equals

162 with a remainder of 0

Solution:

162

11[tex]\sqrt[n]{x}[/tex]1782

-11  

------

68

66

--------

22

-22

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance (d) = 190 miles

Time (t) = 4 hr 45 min = 19 / 4 hours

Speed = distance / time

= 190 / (19/4)

= 40 miles/hour

The average speed is the total distance traveled by the object in a particular time interval.

The average speed of the car in miles per hour is 40 miles per hour.

The average speed is the total distance traveled by the object in a particular time interval.

We have,

Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes

This can be written in hours as:

= 4.75 hours

Average speed:

= Total distance / Total time

= 190 miles / 4.75 hours

Divide both the numerator and denominator by 4.75

= (190/4.75) / (4.75/4.75)

= 40 miles / 1 hour

Thus the average speed of the car in miles per hour is 40 miles per hour.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ5

Answer:

y = -6/5x - 5

Step-by-step explanation:

Use rise over run to find the slope of the line, and the -5 comes from the y-intercept

Answer:9*(n+4)

Step-by-step explanation:

Product means multiply

sum means add

We do the sum first

Let n be the unknown number

sum of a number and 4.

(n+4)

now do the product

9*(n+4)

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

Answer:

his fees that he will pay in april on his checking account is 34.02$  

Step-by-step explanation:

Answer:

around 21-8 so the equation would look like this (21-8)-6=7

Step-by-step explanation:

you do this because if u put the parentheses around 8-6 you would get 21- (8-6)= 19 because 21 - 2 = 19 so you have to put them around 21-8 to get the right answer

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

[tex]174[/tex]

[tex]\large\purple{ChaEunWoo2009}[/tex]

#CarryOnLearning