Find the exact Value
Sin 75 - sin 15° using
sum-to product formula​

Answer:

The function is, f(x) = 6·sin((π/5)(x + 3π/2)) + 12

Step-by-step explanation:

The general form of equation of a roller coaster is given as follows;

y = A·sin(B(x - C)) + D

Where;

A = The amplitude = (18 - 6)/2 = 6

D = The vertical shift = 12

One revolution = 10 unit

∴2·π = 10 unit

Therefore, 10 = 2·π/B

B = 2·π/10

The phase shift = 3·π/2

Therefore, we have the function as follows;

f(x) = 6·sin(2·π/10(x + 3π/2)) + 12 = 6·sin((π/5)(x + 3π/2)) + 12

Answer:

41.50

Step-by-step explanation:

you would have to minus the 26.50 and 25.00 and then you would get 1.5 so that's how much the tax is. you would still keep the zero tho bc if there is nothing after the 5 u add zero.

Answer:

3455/72

=47.9861111111

Step-by-step explanation:

Answer:

The answers is 10(5 + 3)

Answer:

The answer should be C

Step-by-step explanation:

I hope that it helps you!

Answer:

Step-by-step explanation:

Given the equations of the following line

K: x+2y=6

P: 6x + 3y=12

M: -x+ 2y=10

First we need to get the slpe of each line as shown;

For K:

K: x+2y=6

Rewrite in standard form;

2y = -x + 6

y = -1/2 x + 6/2

y = -1/2 + 3

Slope of K is -1/2

For P:

P: 6x + 3y=12

Rewrite;

3y = -6x + 12

y = -6/3 x + 12/3

y = -2x + 4

Slope of P is 2

For M;

M: -x+ 2y=10

Rewrite

2y = x + 10

y = 1/2 x + 10/2

y = 1/2 x + 5

Slope of M is 1/2

Taking the product of slope K and P

Mk * Mp = -1/2 * 2

Mk * Mp = -1

Since the slope of K and P is -1, hence line M and line P are perpendicular

33% of 75 is 25... Hope that helps!!

Part A (Printer): $12.63

Part B (Computer): $180.83

A:

"take advantage of the cash discount" Since Janet is taking the cash discount we need to use the terms.

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

(Note: 0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02) )

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

How much would Janet save?

$15.60 - $2.9726666 = $12.62733 = $12.63

===============================================

Question has a part B:

"On the computer, what is the difference in the final payment between choices 1 and 2?"

Note: Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

Last payment $3,000 – $2,635 = $365

(2)-------------- Note: 18 Months = 1.5 Years

$3,000 × 0.07× 1.5 = $315

$3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment?

$365 - $184.1666 = $180.8334 = $180.83

A. Janet would save $12.63

B. Computer: $180.83

Since Janet is taking the cash discount we need to use the terms.

"take advantage of the cash discount"

2/10 => Means if paid in 10 days apply a 2% discount

($880 - $100) = $780  (This is because of the trade discount stated also)

$780 * 0.98 = $764.40  

[0.98 is the term "2/10" it is the 2% discount, represented as (1-0.02)]

$764.40 * 0.07 * (20/360) = $2.9726666 (Note: Here 20/360, 20 represents the rest of the days left in the term agreement)

No Discounts: ($780 - 764.40) = $15.60

Discounts: $2.9726666

Janet would save = $15.60 - $2.9726666 = $12.62733 = $12.63

Computer Price w/ Trade Discount => $4,000 - ($4,000*0.25) = $3000

(1) "$155 per month for 17 months" => $155 × 17 = $2,635

    Last payment $3,000 – $2,635 = $365

(2) 18 Months = 1.5 Years

    $3,000 × 0.07× 1.5 = $315

    $3,000 + $315 = ($3,315) / 18 Months = $184.1666

Difference in the final payment= $365 - $184.1666 = $180.8334 = $180.83

Learn more about discount problem here :

https://brainly.com/question/1153417

#SPJ2

Answer:

Step-by-step explanation:

sin = opposite / hypotenuse

Answer:

i did it to its C

Step-by-step explanation:

mark me pls

Answer:

D

Step-by-step explanation:

use Pythagoreans theorem to solve (a^2+b^2=c)

Answer:

Question 1 is a statistical question

Question 2 is not

Step-by-step explanation:

A statistical question is a question that can be answered by collecting data that vary

f(x) = 3x2 - 4x - 3

g(x) = 5x + 2

h(x) = 3x2 + 4x-

Answer:

Part A: Choice 3) Reasonable. The grapes and apples is about 2 cups and pears and oranges is exactly 3 cups.

Part B: Exactly 4 11/12 cups

almost equal to 5 cups

Step-by-step explanation:

The missing part of the question is :

2 1/2 cups of pears. 2/3 cup of grapes 1 1/4 cups of apples 1/2 of orange slices .

Pears + apples

2 1/2+1 1/4 =

5/2 + 5/4

= 10+5/4

= 15/4

= 3 3/4 cups

Reasonable. The pears and apples is about 3 cups and the grapes

and oranges is exactly 2 cups. This statement is wrong.

Grapes and oranges

2/3 + 1/2

= 4+3/6

=7/6

=1 1/6 cups

grapes and apples

2/3 cup of grapes 1 1/4 cups of apples

2/3 + 5/4

= 8+15/12

= 23/12

= 1 11/12 cups

pears and oranges

2 1/2 cups +1/2 of orange slices

3 cups

Reasonable. The grapes and apples is about 2 cups and pears and

oranges is exactly 3 cups. this statement is true as shown above.

N.B the answer may vary due to the different measurements given in the missing part of the question.

Part B:

grapes and apples + pears and oranges

1 11/12 cups +3 cups

= 23/12+ 36/12

= 59/12

= 4 11/12 cups

Answer:

(-14,0)

Step-by-step explanation:

lets find the equation of the line first

so lets take two points (-74,18) and (-54,12)

so slope is rise/run= -6/ 20 or -3/10

plugging into the equation

y= mx+b

we get

12= 5.4*3+b

12= 16.2+b

b= -4.2

so equation is y= -.3x-4.2

simplyfying we get

10y= -3x-42

3x= -10y-42

x= -10y-14

so we see that the x intercept is (-14,0)

if my answer helps please mark as brainliest.

Answer:

-14,0

Step-by-step explanation:

Answer:

3 1/4 qt.

Step-by-step explanation:

5 1/2 - 2 1/4 = 3 1/4

Answer:

3x+6=8x-49,

-6. -6

__________

3x=8x-55

-8x. -8x

________

-5x=-55

x=11,

3(11)+6=39

8(11)-49=39

Step-by-step explanation:

Answer:

2/1 of a family

Step-by-step explanation:

Your answer would be after 1.7 hours

Answer:

FG, GH, FH

Step-by-step explanation:

H=180-100-50=30°

Since H is the smallest degree, the side opposite it (FG) is the shortest length.

Since F is the middle degree, the side opposite it (GH) would be the middle length.

Since G is the highest degree, the side opposite it (FH) would be the longest.

FG, GH, FH

Step-by-step explanation:

56048 divided by 543= 103.219153

Answer:

its 103.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Volume = 1.25

Step-by-step explanation:

Length = 5 * 1/2 = 2.5

Width = 1 * 1/2 = .5

Height = 2 * 1/2 = 1

[tex]2.5 * .5 * 1 = 1.25[/tex]

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

Let us make the graph of the given function. In the graph, We have connected points linearly, please consider it as a curve.

The point of inflection or inflection point is a point in which the concavity of the function changes.

Therefore, From the attached graph, we can see that:

a)Function is increasing in intervals (1,3) and (4,6).

b)Function is decreasing in intervals (0,1) and (3,4).

c)Graph is concave upward in the interval (0,2) and (3,5).

d)Graph is concave downward in the interval (3,4).

e)Points of inflection are x=3 and x=5.

To get more about graphs visit:

https://brainly.com/question/1869945

Answer:

a.(1,3)U(4,6)

b.(0,1)U(3,4)

c.(0,2)

d.2,6

e. 2,3

Step-by-step explanation:

Looking at graph and finding intervals.

Answer:

8.5

Step-by-step explanation:

When you write out the data set, it looks like this:

5, 8, 8, 8, 8, 9, 9, 9, 10, 10

The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)

Answer:

The median is 8.5

Step-by-step explanation:

The median is the middle number in a data set. For example, if you had a data set:

2, 2, 3, 4, 4

You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.

However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.

For example, if the final two numbers were:

2, 6

You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.

In this set, we have

5, 8, 8, 8, 8, 9, 9, 9, 10, 10.

The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.

Answer: x = 16

Step-by-step explanation:

60x - 60 = 900

60x = 960

60x / 60 = 960 / 60

x = 16

Answer:

3. 73

4. 1500

Step-by-step explanation:

3. 7*9 = 63, 2*5 = 10, 63+10 = 73

4. 40*30 = 1200, 20*30 = 600 divided by 2 = 300, 1200+300 = 1500

Answer:

6000

Step-by-step explanation:

Answer:

286.5

Step-by-step explanation:

(3 x 7.5) x 2 = 45

(11.5 x 3) x 2 = 69

(11.5 x 7.5) x 2 = 172.5

45 + 69 + 172.5 = 286.5

Answer:

Suppose we have with x, the amount of water we use (in grams).

1/7 of this will be the chemical, then we have (1/7)*x grams of chemical.

Then we add another 9g of the chemical, then we have in total:

(1/7)*x + 9g of the chemical.

And we know that the chemical is expensive, so there can't be more than a given number of grams of the chemical, because of the phrase:

"...There can't be more than..."

We will have a relation like:

(1/7)*x + 9g ≤ something.

By looking at the options, we can see that "something" = 26.25 grams

then we will have the inequality:

(1/7)*x + 9g ≤ 26.25 g

Now we can solve this for x, the amount of water used:

(1/7)*x ≤ 26.25 g - 9g

x ≤ (26.25 g - 9g)*7

x ≤ 120.75 grams

This means that the maximum amount of water we can use is 120.75 grams of water.

Answer:

x axis comes first before the y

Answer:

???? :( Its really impossible question for me