Simplify the expression. sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2

Answers

Answer 1

Answer:

-1

Step-by-step explanation:

Evaluate for x=0

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

sin((2)(0))+sin(0)+cos((2)(0))−1(sin(0))(sin(0))−1(sin(0))−2

= −1

Answer 2

Answer:

sinx

Step-by-step explanation:

sin^2 + cos^2 = 1 (pythagorean identity)

therefore we take the square sin and cos out to make a 1

sin2x + sinx + cos2x - 1 sinx sinx - 1 sinx - 2

left with sinx -1 +1 =

sinx because the 1s cancel out


Related Questions

Two units of length used in ancient Egypt were cubits and palms where one cubit is equivalent to seven palms the great sphinx statue in Giza is apparently 140 cubits long which of the following best approximates the length in palms of the great sphinx statue

A.0.05
B.20
C.140
D.980

Answers

Answer:

The answer we be is D.980

What is the solution to 3x2+4x+8=0

Answers

there is no real solutions.

Help! Giving brainliest.

Answers

Answer:

The area of rectangle A is length x breadth

= 3x5

= 15 units^2

The area of square B is side x side

= 3x3

= 9 units^2

Therefore,

The area of the rectangle is not double of the area of the square because 9x2 is not equal to 15. Steven isn't correct.

Answer:

a) Steven is incorrect.

b) Steven is incorrect, because he claims that, in other words, 15 units squared = 18 units squared. 18 > 15, so the statement that 15 = 18 is false. 15 does not equal 18.

Step-by-step explanation: Steven claims that the area of rectangle A is double the area of square B. The area of rectangle A is 15 units squared, because you get a product of 15 when you multiply the side lengths 5 and 3. The area of square B is 9 units squared, because you get a product of 9 when you multiply the side lengths 3 and 3. In other words, Steven is claiming that the area of rectangle A is not 15 units squared, but 18 units squared (this is double the area of square B, as 18 is the product of 9 and 2), and that statement is false, because we know that 18 > 15. Therefore, 18 cannot equal 15; the figure that is made from the value of double the area of square B (18 units squared) is larger than rectangle A (15 units squared) - this reinforces the fact that 18 > 15, and hence cannot be equal to 15.

Nari says, "The sum of 10 and one-third of a number is 25." She uses the bar model to write an equation to represent her
statement.
25
10
Which equation can Nari write using the bar model?
© 25 – 10+ jn
10-3n+25
25 = 10-3n
10-10-25

Answers

Answer:

[tex]25=10+\frac{1}{3}n[/tex].

Step-by-step explanation:

It is given that the sum of 10 and one-third of a number  is 25.

Let as consider n be the unknown number.

One-third of a number [tex]=\frac{1}{3}n[/tex]

Sum of 10 and one-third of a number [tex]=10+\frac{1}{3}n[/tex]

The sum of 10 and one-third of a number  is 25. It can be written as

[tex]25=10+\frac{1}{3}n[/tex]

Therefore, the required equation is [tex]25=10+\frac{1}{3}n[/tex].

Answer:

A

Step-by-step explanation:

Check all of the ordered pairs that satisfy the equation below.
y=2/3x

Answers

Answer:

D,C

Step-by-step explanation:

PLEASE HELP! Work must be shown for this problem. Solve for x. Round answers to the nearest hundredth (2 decimal places).

Answers

Answer:

around 7.00 ft

Step-by-step explanation:

tan(35 degrees)=x/10

x/10=tan(35 degrees)

x=10*tan(35 degrees)

x=7.0020753821

x= around 7.00 ft


A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the staty was
10%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $600. How much was the hotel charge in each oty before tax?

Answers

Answer:

The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000

Step-by-step explanation:

Let x be the hotel charge without tax in first city

We are given that The hotel charge before tax in the second city was $1500 lower than in the first.

So, Hotel  charge without tax in second city =x-1500

Tax% in first city = 10%

So, tax in first city = 0.1x

Tax% in second city =5%

So, tax in second city = 0.05(x-1500)

We are given that The total hotel tax paid for the two cities was $600.

So,0.1x+0.05(x-1500)=600

0.1x+0.05x+75=600

0.15x=600-75

[tex]x=\frac{600-75}{0.15}[/tex]

x=3500

Hotel charge without tax in first city = $3500

The hotel charge before tax in the second city =x-1500=3500-1500=2000

Hence The Hotel charge without tax in first city is $3500 and The hotel charge before tax in the second city is 2000

Translate this statement into an equation.
Half of a number is equal to three times the difference between 27 and 12.

Answers

Answer:

1/2x = 3*(27-12)

Step-by-step explanation:

Let x be the number

Is means equals

Difference means subtract

1/2x = 3*(27-12)

Answer:

[tex]$\frac{1}{2} x = 3(27-12)$[/tex]

or

[tex]$\frac{x}{2} = 3(27-12)$[/tex]

Step-by-step explanation:

Half of a number is equal to three times the difference between 27 and 12.

Half of a number ([tex]x[/tex]): [tex]$\frac{1}{2}x=\frac{x}{2} $[/tex]

Three times the difference between 27 and 12: [tex]3(27-12)[/tex]

[tex]$\frac{1}{2} x = 3(27-12)$[/tex]

By the way, we can find the value of [tex]x[/tex]

[tex]$\frac{x}{2} = 3(27-12)$[/tex]

[tex]$\frac{x}{2} = 3(27-12)$[/tex]

[tex]$\frac{x}{2} = 45 $[/tex]

[tex]$x = 90 $[/tex]

solve!!!!! PLEASE HELP!!! MKE BRAINLIEST!
2x^2 - 28 = x^2 + 15
What is the answer!

Answers

Answer:

x =  ± sqrt(43)

Step-by-step explanation:

2x^2 - 28 = x^2 + 15

Subtract x^2 from each side

2x^2-x^2 - 28 = x^2-x^2 + 15

x^2 -28 = 15

Add 28 to each side

x^2 - 28 +28=  15+28

x^2 = 43

Take the square root of each side

sqrt(x^2) = ± sqrt(43)

x =  ± sqrt(43)

Do you use the greatest common factor or the least common multiple to add to fractions? In this example what is it? 4/15+5/6

Answers

Answer:

The least common multiple, but you can use the greatest common factor, but at the end you have to simplify for it to be correct. 1 3/30

Step-by-step explanation: 4/15+5/6

Change 15 into a 30 by multiplying 2 to both sides.

Change 6 into a 30 by multiplying 5 to both sides.

so the new fractions are 8/30+25/30=33/30

The final fraction is 1 3/30.

Anaya found the slope of the line that Passes through the points (-7,4) and (2,-3). Her work is shown below.

Answers

Answer:

C

Step-by-step explanation:

What is the midpoint of the segment shown below?
(2,4) (2,-7)

A. (4, -3)
B. (4, -3/2
C. (2,-3/2
D. (2,-3)

Answers

Answer:

- 3/2            This matches Answer C

Step-by-step explanation:

The midpoint of the segment connecting (2,4) and (2,-7) is (2, y), where

       4 - 7

y = ---------- = - 3/2            This matches Answer C.

          2

The kitchen assistant is helping the chef to serve soup. The chef made 3 pots of soup and the assistant is putting 1/16 cups of cream on top of the soup in each bowl. There are 12 cups of cream. How many bowls of soup can the assistant help prepare?

Answers

Steps
1 divided by 16=.0625x 12= .75

The total number of bowls that the assistant help prepare is 192.

What is Componendo Dividendo Rule ?

"A theorem based on the topic of proportions permits a faster way to carry out the calculations and cut down the count of expansions required. It is helpful in situations involving equations with fractions or rational functions."

Given ,

The chef can make 3 pots of soups.

And the assistant use = 1/16 cup on 1 cup of soup

Total number of serving in 1 cup is 16 soups

So, In 12 cups, total number of soup that can be prepared is 16*12 = 192.

Hence, the total number of bowl of soup can the assistant help prepare are 192.

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Use the table to find the constant of proportionality and the equation that represents the relationship. Let x = number of apples and y = number of slices. The constant of proportionality is _______. The equation for this relationship is _______.



THE ANSWER CHOICE IS IN THE PICTURE

Answers

Answer:

a)The constant of proportionality is 6.

b)The equation for this relationship is y=6x.

Step-by-step explanation:

a) 6/1=6

b)if apples is "x" and slices is "y," substitute y for 6 and x for 1

so 6=6(1) which is y=6x

The required constant of proportionality is 6 and the equation for this relationship is y=6x.

A table of data is given which describe the relationship between number of apples and number of slices. Blank space in statement to be filled.


What is the equation?

The equation is a function of the relation between two or more values contains equal sign.

Here, from table the equation can be calculated as
Number of apples(x) is directly proportional to the number of slices(y). i.e.
y ∝ x
Now,
y=kx  ----(1)  (where k is proportionality constant)
for 1 apple the number of slices is 6 so,
6 = k*1
k = 6
Put k is equal to 6 in the equation (1).
y = 6x.

Thus, the required constant of proportionality is 6 and the equation for this relationship is y=6x.

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Alice took out an 80/20 mortgage on a $232,000 home. What is the amount
financed under the first mortgage?

Answers

Answer:

B. $185,600

Step-by-step explanation:

80/20 mortgage means pay 20% down payment and 80% finance amount of home value.

Home value = $232,000

Now, we need to find finance amount from this hone value of $232,000

Let's calculate the 80% of $232,000 as finance amount;

Finance amount = 80% of 232000

Finance amount  = 0.80 x 232000

Finance amount = 185,600

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!

Melanie ordered books from a catalog. The prices of the books added up to $45.60. She had to pay a 6% tax and 8% for shipping. What was the total cost of her order? Don't forget to include the $ sign.

Answers

Answer:

51.984

Step-by-step explanation:

45.6*1.14

If you flip three fair coins what is the probability that the two first flips will both be heads, and the third flip will be either heads or tales?

Answers

Answer:

The probability that a coin flip is a head or a tail is 0.5. The probability that a coin flip is either a head or a tail is 1. The probability that a three-coin-flip is two heads and a head or a tail is 0.25.

Step-by-step explanation:

PLS CAN SOMEONE HELP ITS ABOUT TO BE DUE
Mr. Donovan has $100 to spend on parking and admission to the Rye Playland. The parking will cost $7, and admission tickets will cost $15.50 per person, including tax. Write and solve an algebraic equation that can be used to determine the number of people that she can bring to Rye Playland, including herself

Answers

Answer:

15.5x+7=100

15.5x = 93

x=6 people

Answer:

6 people

Step-by-step explanation:

let x = amount of people Mr. Donovan brings

7 + 15.50x = 100

-7                 -7

15.50x = 93

/15.50      /15.50

x = 6

6 people

* LAST QUESTION. ANSWER ASAP W DETAILS PLEASE (: * Write an equation for the circle whose graph is shown.

Answers

Answer:

B.

Step-by-step explanation:

(x-1)2+(y+2)2=4.

because the equation is shown in the graph

the equation of the circle with a center at (-1, 2) and a radius of 2 is:

(x + 1)² + (y - 2)² = 4

From graph er can see that center of circle is (-1,2) and radius is 2

The equation of a circle with its center at point (h, k) and radius r is given by:

(x - h)² + (y - k)² = r²

In this case, the center of the circle is (-1, 2), and the radius is 2. Plugging these values into the equation, we have:

(x - (-1))² + (y - 2)² = 2²

Simplifying further:

(x + 1)² + (y - 2)² = 4

Expanding the square terms:

x² + 2x + 1 + y² - 4y + 4 = 4

Combining like terms:

x² + y² + 2x - 4y + 1 + 4 - 4 = 0

Simplifying:

x² + y² + 2x - 4y + 1 = 0

Therefore, the equation of the circle with a center at (-1, 2) and a radius of 2 is:

(x + 1)² + (y - 2)² = 4

Learn more about equation here

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what is the simplified form of 5 square root x^4 • 5 square root x^4

Answers

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

[tex]\sqrt[5]{x^4}[/tex] becomes [tex]x^4^/^5[/tex]

When you multiply 2 terms with the same base, you add the exponents.

[tex]x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5[/tex]

[tex]x^8^/^5[/tex] is also the same as [tex]x\sqrt[5]{x^3}[/tex]

You get this because [tex]\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}[/tex]. When you pull out 5 os x, you are left with x³ on the inside.

Write 3 multi-step equations on your own. Explain how you got the answers in words and show all your work.

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

1) 4x + 9 = 2x - 6

Subtract 9 from both sides

4x = 2x - 15

Subtract 2x from both sides

2x = -15

Divide both sides by 2:

x = -15/2 or -7.5

2) 2(x - 5) = 5x + 23

Expand the brackets:

2x - 10 = 5x + 23

Subtract 23 from both sides

2x - 33 = 5x

Subtract 2x from both sides

3x = -33

Divide both sides by 3

x = -11

3) 7x + 3 = 2x + 13

Minus 3 from both sides

7x = 2x + 10

Subtract 2x from both sides

5x = 10

Divide both sides by 5

x = 2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

The options are

6 yards
12 yards
6 √3
6 √2

Answers

The answer is 12 yards

What quadrilateral can have no
right angles, while having
opposite sides parallel and
congruent?
A. parallelogram
B. trapezoid
C. square
D. rectangle

Answers

Answer:

A. Parallelogram

This is because all sides of a parallelogram are parallel to each other, it is also a quadrilateral.

Answer:

It is a parallelogram

Step-by-step explanation:

Which of the diagrams below represents the statement "If it is not warm, then
it is not hot"?
not hot
not warm
not warm
not hot
Figure A
Figure B
A. Figure A
B. Figure B

Answers

Answer:

B. Figure B

Step-by-step explanation:

We have the phrase "If it is not warm, then it is not hot".

Chronologically and logically, it has to not be warm in order to not be hot. "Not warm" will have to encompass "not hot". Therefore, choice B is correct as the diagram shows "not warm" encompassing "not hot".

Answer:

Figure A

Step-by-step explanation:

Ap*x

A four-person committee is chosen from a group of eight boys and six girls.
If students are chosen at random, what is the probability that the committee consists of all boys?


A• 4/ 1001
B• 15/ 1001
C• 10/ 143
D• 133/ 143


Answers

Answer:

The answer is 10/143

Step-by-step explanation:

Answer:

10/143

Step-by-step explanation:

Decide whether the relation defined by the graph to the right defines a function,
and give the domain and range.
Does the graphed relation define a function?
ЛУ
10-
8-
Ο Νο
Yes
6-
4
What is the domain of the graphed relation?
2-
24
(Type your answer in interval notation)
What is the range of the graphed relation?
- 10 -8 -6 -4
La
1
Ha
Fo
4.
too
10
-2-
(Type your answer in interval notation)
-4
-6-
-8-
-10-

Answers

Answer:

Given that the graph is not provided, I will answer the question in general terms.  

To know if a relationship is or is not a function you have to check if for every value of the dependent variable there is associated only one value of the dependent variable.

The domain of a function is composed of all the possible values that variable x (the independent variable) can take.

The range of a function is  composed of all the possible values that variable y (the dependent variable) can take. That is, all the values that f(x) can assume (see picture attached).

At Baskin Robbins, you can choose between the flavors (vanilla, chocolate, cookies 'n cream, strawberry, mango sorbet and mint chocolate chip), the number of scoops (1, 2 or 3), and if you want it in a cone or a cup. What is the probability of someone choosing cookies 'n cream ice cream with 2 scoops?

Answers

Answer:

1/18

Step-by-step explanation:

there are 18 combination choices and cookies 'n cream is one of the 18

The shape has an area of 60 square inches. Find the value of x.

Answers

Answer:

The value of x is 12.

Step-by-step explanation:

Given that the area of triangle formula is A = 1/2×b×h where b represents base which is the x and h is height, 10 inches. So you have to substitute the following values into the formula :

[tex]area = \frac{1}{2} \times base \times height[/tex]

Let area = 60,

Let base = x,

Let height = 10,

[tex]60 = \frac{1}{2} \times x \times 10[/tex]

[tex]60 = 5 \times x[/tex]

[tex]5x = 60[/tex]

[tex]x = 12 \: inches[/tex]

Answer:

12 inches

Step-by-step explanation:

The area of a triangle can be found using the following formula.

a=(b*h)/2

We know that the triangle has an area of 60 inches squared. We also can see from the picture that the height is 10 inches, and the base is x inches.

a=60 inches^2

b= x inches

h= 10 inches

Substitute these values into the formula

60=(x*10)/2

Now, solve for x. To do this, get x alone. Perform the opposite of what is being done to the equation. Remember to perform everything to both sides of the equation.

x*10 is being divided by 2. The opposite of division is multiplication, so multiply both sides by 2.

2(60)=(x*10/2)2

2(60)=x*10

120=x*10

x is being multiplied by 10. The opposite of multiplication is division. Divide both sides by 10.

120/10=x*10/10

120/10=x

12=x

The base, or x, is 12 inches.

Use the combination method to solve for y: 5x + 3y = 12 and -5x + 4y = 16

y= 4
y= 0
y= -10
y= -4​

Answers

Answer:

y = 4

Step-by-step explanation:

We have,

5x + 3y = 12 ....(1)

and

-5x + 4y = 16 ....(2)

Adding equation (1) and (2),

0 + 7y = 28

or

7y = 28

Dividing both sides by 7,

y = 4

So, the value of y = 4.

If i had to pay 3,500 dollars but I had a 69% off coupon for some reason how much would I have to pay also please show me how you got that answer because I dont know how to do things like this ​

Answers

Answer:

1085

Step-by-step explanation:

100 - 69 =31%

3500 /100 =35

35 x 31 = 1085

Answer: you would pay 1085

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