Fabio is driving west away from Albany and towards Buffalo along Interstate 90 at a constant rate of speed
of 62 miles per hour. After driving for 1.5 hours, Fabio is 221 miles from Albany.

Answer:

EndRoot Over 2 EndFraction

StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction

On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that  [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].

Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.

[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]

Learn more about trigonometric identities here

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Answer:

It is c which is g(x)

Step-by-step explanation:

Answer:

the answer is C : g(x)

Step-by-step explanation:

i just got the right answer on the assignment

Answer:

The graph is attached down

Step-by-step explanation:

The form of the linear inequality is y < b + m x, where

To find which graph represents the inequality y < -1 + 2x

→ Find the y-intercept (the value of y at x = 0)

∴ b = -1

∴ The y-intercept is (0, -1)

From the given graphs we have two graphs that the line intersected the y-axis at (0, -1)

2nd graph in the 1st row

2nd graph in the 2nd row

∵ The sign of inequality is <

∴ The shaded area must be under the line

∴ The 2nd graph in the 1st row is our answer

The graph which represents the inequality y < -1 + 2x is attached down

Answer:

325

Step-by-step explanation:

h + c = 700

c = 50 + h

50+ h + h= 700

50+2h =700

2h=700-50

2h = 650

h=650/2

h=325

c=325+50

c=375

check 325+375=700

Answer:

Step-by-step explanation:

Simplifying

3x + 5 = 3x + 7

Reorder the terms:

5 + 3x = 3x + 7

Reorder the terms:

5 + 3x = 7 + 3x

Add '-3x' to each side of the equation.

5 + 3x + -3x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 + 0 = 7 + 3x + -3x

5 = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0

5 = 7 + 0

5 = 7

Solving

5 = 7

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer: 1.99

Step-by-step explanation: It's about time I tell you how this works. So here it says price PER apple. So PER means we divide 7.96/4 to get 1.99. Now you may be like, How do I know that I do 7.96/4? Why not 4/7.96? Well it says PRICE per APPLE. Price being first so we do 7.96 which is the price, divided by 4 which is the apples. Then we just repeat this process if you want to check your work. So 9.95/5, and 11.94/6

Answer:

60%

Step-by-step explanation:

It is 60% because, First we have to make 3/5 a percent so we do 5 times 20 which is 100, and 3 times 20 which is 60. So it total it is 60/100 which is 60%

Answer:

[See Below]

Step-by-step explanation:

_________________________________

✦ An easier way of doing this is to change the fraction to an equivalent fraction:

✦ So now it's easier to change to a percentage.

_________________________________

So your answer would be:

_________________________________

~Hope this helps Mate. If you need anything feel free to message me.

[tex]-Your~ Friendly~ Answerer,~ Shane[/tex] ☺

Answer:

(8y+8)²+(4x²+16)=0

Step-by-step explanation:

Given:

(64y²)+(4x²)+128y+16x+64=0

Find:

Equation into the appropriate form

Computation:

(64y²)+(4x²)+128y+16x+64=0

(8y)²+(2x)²+128y+16x+64=0

(8y)²+(2x)²+2(8y)(8)+2(2x)(4) + 8²=0

(8y+8)²+(4x²+16)=0

Answer:

m=4 or slope =4

Step-by-step explanation:[tex]m=\frac{y2-y1}{x2-x1\\}[/tex]

so [tex]m=\frac{12-4}{6-2}[/tex] which is the same as 8/2. So all in all the slope is 4.

Answer:

12 - 2x = -34

Step-by-step explanation:

Im not entirely sure if this is correct but yeee

High Hopes^^

Barry-

Answer:

D!

Step-by-step explanation:

To find the area, we multiply the length times the width to find the number of squares in each box.

A) 1 square down times 7 squares across is 1 x 7, which is 7.

B) 2 squares down times 6 squares across is 2 x 6= 12.

C) 3 squares down times 5 squares across is 3 x 5 = 15.

D) 4 squares down times 4 squares across = 4 x 4 =16.

16 is the biggest number here, so that is the greatest area!

If you enjoyed my answer, please give it a rating and a Thanks! If you think this answer was pretty brainly, please give it a Brainliest!

Have a great day!

Answer:

Jose

Step-by-step explanation:

Jose:

Step 1:

42 × 15        Equation

Step 2:

$630     Multiply

Fernando:

Step 1:

38 × 16      Equation

Step 2:

$608    Multiply

Answer:

Jose earns more

Hope This Helps :)

Answer:

About $59.66

Step-by-step explanation:

To find the amount of tax was paid, multiply 64.50 by 0.075 (because 0.075 = 7.5%). This would be 4.8375, which when rounded is 4.84. You subtract 64.50 by 4.84 to get 59.66, but because I rounded, it is about $59.66.

Answer:

60

Step-by-step explanation:

First, change the percentage to a decimal and write the equivalence of the sales tax amount. Let x be the original cost of the item.

Sales tax amount =x⋅0.075

Next, substitute the value into the equation:

Original Cost + Sales Tax Amount = Total Cost

x+0.075x=64.50

Add like terms.

1.075x=64.50

Divide both sides by 1.075 to isolate the unknown value.

x=$60

Answer:

c

Step-by-step explanation:

Answer:

C. 24:56

Step-by-step explanation:

3/7 * 8/8

3*8 = 24

7*8 = 56

24/56

Answer:

7

Step-by-step explanation:

Median is the middle value in a list of values arranged in increasing order.

The values given are :2,8,7,8,6,15,6,8,3

Arrange values in ascending order as: 2,3,6,6,7,8,8,8,15

The middle value is: 2,3,6,6,7,8,8,8,15

Median is 7

Answer:

114

Step-by-step explanation:

Because u do 9+10 which equals 19 and then u do 19*6 and u get 114 so the expression now would be 6=114/(9+10)

Answer:

112

Step-by-step explanation:

56*2 and then you just find a multiple that is really close to 112 and i am in 5th grade.

Answer:

Option C.  

Step-by-step explanation:

( 16 + 40 ) =

8 x 2 = 16

8 x 5 = 40

8 x ( 2 + 5 )

Answer:

3 1/3 mph

Step-by-step explanation

2/3 mile divided by 1/5 hour

To divide by a fraction, MULTIPLY BY THE RECIPROCAL!

This gives 5(2/3) = 10/3 = three & 1/3 mile per hour, or about 3.33 mph.

Answer:

$0.75

Step-by-step explanation:

2.25-1.50=0.75

Answer:

x = 400/(3 c)

Step-by-step explanation:

Solve for x:

(9 c x)/8 + 20 = 170

Hint: | Isolate terms with x to the left-hand side.

Subtract 20 from both sides:

(9 c x)/8 = 150

Hint: | Solve for x.

Divide both sides by (9 c)/8:

Answer: x = 400/(3 c)

Answer:

1

Step-by-step explanation:

didn't mulitiply by -2

Answer:

36 %

Step-by-step explanation:

Convert the fraction to a decimal, then multiply by  100 .

Answer:

36%

Step-by-step explanation:

The same explanation as she said

Answer:

5:1

Step-by-step explanation:

Answer:

-x + 2

Step-by-step explanation:

Step-by-step explanation:

50 miles per hour, how long will it take before that train meets THE Other train, going from B to A, at a speed

Answer:

a) the sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.0204

b) the probability that the sample proportion will be within 0.04 of the population proportion is 0.95

c) sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.03061

d) the probability that the sample proportion will be within 0.04 of the population proportion is 0.8088

e) gain in precision is 0.1402.

Step-by-step explanation:

a) Let p represent the

Given that

population proportion of complaints settled for new car dealers p = 0.75.

and n = 450

mean of the sampling distribution of the sample proportion is the population proportion p

i.e  up° = p

mean of the sampling distribution of the sample proportion p° = 0.75

so standard error of the proportion is;

αp° = √(p( 1-p ) / n)

we substitute

αp° = √(0.75 ( 1-0.75 ) / 450)

=√(0.1875 / 450

= √0.0004166

= 0.0204

therefore the sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.0204

b)

(p° - p) is within 0.04

so lets consider

p ( -0.04 ≤ p° - p ≤ 0.04) = p ( ( -0.04/√(0.75 ( 1-0.75 ) / 450)) ≤ z ≤ ( 0.04/√(0.75 ( 1-0.75 ) / 450))

= p( -0.04/0.0204 ≤ z ≤ 0.04/0.0204)

= p ( -1/96 ≤ z ≤ 1.96 )

= p( z < 1.96 ) - p( z < -1.96 )

now from the S-normal table,

area of the right of z = 1.96 = 0.9750

area of the left of z = - 1.96 = 0.0250

p( -0.04 ≤ p°- p ≤ 0.04)  =  p( z < 1.96 ) - p( z < -1.96 ) = 0.9750 - 0.0250

= 0.95

therefore the probability that the sample proportion will be within 0.04 of the population proportion is 0.95

c)

population proportion of complaints settled for new car dealers p = 0.75.

n = 200

mean of the sampling distribution of the sample proportion p°.

i.e up° = p

mean of the sampling distribution of the sample proportion p° = 0.75

Sampling distribution of the sample proportion p is determined as follows

αp° = √(p( 1-p ) / n)

we substitute

αp° = √(0.75 ( 1-0.75 ) / 200)

=√(0.1875 / 200

= √0.0009375

= 0.03061

therefore sampling distribution of the sample proportion is approximately normal with mean 0.75 and standard deviation is 0.03061

d)

(p° - p) is within 0.04

so lets consider

p ( -0.04 ≤ p° - p ≤ 0.04) = p ( ( -0.04/√(0.75 ( 1-0.75 ) / 200)) ≤ z ≤ ( 0.04/√(0.75 ( 1-0.75 ) / 200))

= p( -0.04/0.03061≤ z ≤ 0.04/0.03061)

= p ( -1.31 ≤ z ≤ 1.31 )

= p( z < 1.31 ) - p( z < -1.31 )

now from the S-normal table,

area of the right of z = 1.31 = 0.9049

area of the left of z = - 1.31 = 0.0951

p( -0.04 ≤ p°- p ≤ 0.04)  =  p( z < 1.31 ) - p( z < -1.31 ) = 0.9049 - 0.0951

= 0.8098

therefore the probability that the sample proportion will be within 0.04 of the population proportion is 0.8088

e)  

From b), the sample proportion is within 0.04 of the population proportion; with the sample of 450 complaints involving new car dealers is 0.95.

sample proportion is within 0.04 of the population proportion; with the sample of 200 complaints involving new car dealers is 0.8098.

measured by the increase in probability, gain in precision occurs by taking the larger sample in part (b)

i.e

Gain in precision will be;

0.9500 − 0.8098

= 0.1402

therefore  gain in precision is 0.1402.