complete the identitysin 2x - cot x

EXPLANATION

The measure of the

By applying this theorem we can get the value of the angle CAB as shown as follows:

180 - 90 - 42 = 48 degrees

Then, by the supplementary angles theorem, we can assevere that the sum of supplementary angles is equal to 180 degrees.

180 - 48 = 132 degrees

Hence, the value of the supplementary angle is 132 degrees.

Answer:

60 meters^2

Step-by-step explanation:

1/2= 3/x

2(3)=x

6=x

1/2=5/x

x=2(5)

x=10

And then we multiply the 2 sides together

10x6

60

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

4.50 per sandwich

6 sandwiches

4.50 x 6 = 27

+ Delivery fee $10

$27 + $10 =

$37 total

we have the ordered pairs

(0,0)

(1,76)

(2,120)

(3,132)

(4,112)

Plot the given points

see the attached figure

In this problem we have a vertical parabola open downward

The vertex represents a maximum

The equation is of the form

y=ax^2+bx+c -----> quadratic equation

using a quadratic regression calculator

we have that

a=-16

b=92

c=0

therefore

y=-16x^2+92x

For x=5 sec

substitute

y=-16(5)^2+92(5)

y=60

the answer is

Alternative method (approximate solution)

The quadratic equation in vertex form is equal to

y=a(x-h)^2+k

where

(h,k) is the vertex

I will assume that the vertex in this problem is the point (3,132)

so

(h,k)=(3,132)

substitute

y=a(x-3)^2+132

Find out the value of a

we have the point (0,0)

substitute in the equation

0=a(0-3)^2+132

0=9a+132

a=-132/9

a=-14.67

therefore

y=-14.67(x-3)^2+132

For x=5

y=-14.67(5-3)^2+132

y=73.33 units

Third Method

using the equation

y=ax^2+bx+c

points (0,0), (1,76) and (2,120)

(0,0) --------> 0=a(0)^2+b(0)+c ----------> c=0

y=ax^2+bx

(1.76) ------> 76=a(1)^2+b(1) ----------> a+b=76 ------> equation 1

(2,120) ----> 120=a(2)^2+b(2) ----> 4a+2b=120 ----> equation 2

solve the system of equations

the solution of this system is

a=-16

b=92

therefore

the equation is

The expected pesos after exchange are 3858 , we can find  out by using the concept of exchange rate.

How to calculate currency after exchange rate?

Multiplying the money you have budgeted by the exchange rate .

for example,

If "a" is the money in one currency , you have

"b " is the exchange rate

"c" is the expected money in another currency after exchange.

So, a * b = c

Here, a= $200

b=19.29

now, c = 200 * 19.29

           = 3858.

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Answer:

Step-by-step explanation: A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.

Answer: 1. 0.185185185 keeps going

2. 56

3. 63.02

Step-by-step explanation:

According to the given table, the y-values are triple than x-values except by the last pair (5,25), this means the table does not represents a proportional relationship because the last pair doesn't follow.

Hence, the answer is False.

The values of a, b, c are a = -1, b = -14, c = 24

Given expression is f(x)=x³ +ax² + bx+c,

To find out the values of a, b, c:

There are two methods

Method - 1:

(x-2)(x-3)(x+4)= x³ +ax² + bx+c

Now we have to compare coefficients as

a = -1, b = -14, c = -24

Method - 2:

If (x-2) is a factor, then x = 2 is a solution. If x = 2 is a solution, then if we substitute x = 2, the polynomial will equal 0.

The same with x-3 and x+4. We can form 3 equations which we can solve simultaneously.

So, Equation 1 = 8+4a+2b+c = 0

Equation 2 = 27+9a+3b+c = 0

Equation 3 = -64+16a-4b+c = 0

As you can see, we get the same answer, just with a different methods.

Hence the answer is, the values are a = -1, b = -14, c = 24.

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The expression -b³c is the polynomial. The type of the polynomial is cubic polynomial and the degree is 3.

Polynomial:

Polynomial is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Given,

Here we have the expression  -b³c.

And we need to find the following:

1) check it if is polynomial or not

2) type of the polynomial

3) degree.

As per the given definition, the expression -b³c is the polynomial.

Here we have the expression  -b³c the highest power value for this polynomial is 3.

Therefore, the degree of this polynomial is 3 and the type of the is cubic polynomial.

Because we have identify the type based on the degree value here the value of degree is 3 so the type of the polynomial is cubic one.

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How many bytes have their second, third, and fourth digit equal to 0.

If we refer to 8-bits, we would have a value from 00000000 to 11111111, there would be a total of 256 values.

Considering that we only need it to have its second, third and fourth digit equal to 0, we can add the values from 2^0 up until 2^4

That would be equal to 31 bytes.

Answer:

the answer is 23

Step-by-step explanation: use the formala of a triangle

which means you either add or subtract the sides and since it is the big side you  are missing you have to add and when you do you get 23

The distance between points Math(-3, -5), and English(2, 2) is  8.60 units after using the distance formula.

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

Math(-3, -5)

English(2, 2)

Using distance formula:

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

D = √[(2 - (-3))² + (2 - (-5)₁)²]

D = √74

D = 8.60 units

Thus, the distance between points Math(-3, -5), and English(2, 2) is  8.60 units after using the distance formula.

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The x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

So, plot the linear function:

(Refer to the graph attached below)

Therefore, the x-intercept of the given linear function is 0 and the graph of the linear ufnction is shown.

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⇒[tex]T_{n} =a+(n-1)d[/tex] is the formula to find the general term of the arithmetic sequence.

⇒Note to find the second term we will plug in 2 in the place of n in the formular and simplify.

⇒[tex]T_{2} =a+(2-1)d\\T_{2} =a+(1)d\\T_{2} =a+d[/tex]

⇒It is given that the second term is 7 meaning in the place of [tex]T_{2}[/tex] in the equation above since we do not know the value of a and d we will plug in  7 and have the equation [tex]7=a+d[/tex] as our first equation.

⇒ For the fourth term [tex]T_{4}[/tex] we follow the same step of using the general formula to find the nth term by plugging in 4 in the place of n and and simplify

[tex]T_{4} =a+(4-1)d\\T_{4}=a+(3)d\\T_{4}=a+3d[/tex]

In the place of [tex]T_{4}[/tex] plug in 1 for the fourth term is equal to 1 to have the second equation

[tex]1=a+3d[/tex]

Note we can now use the two equations we have now to find the value of a which is the first term and d which is the difference.

7=a+d......1st equation

1=a+3d...2nd equation

∴from the first equation by making a the subject of the equation we get

a=7-d

from the second equation making a the subject of the equation we get a=1-3d

Now let us equate first equation and the second equation since they are both equal to a and solve for d.

[tex]7-d=1-3d\\-d+3d=1-7\\2d=-6\\\frac{2d}{2} =\frac{-6}{2} \\d=-3[/tex]

⇒Now you can see that we have the difference of the arithmetic sequence equal to -3

⇒To find the value of a you can use any of the equations from the ones we created . I will use the equation a=7-d

[tex]d=-3\\a=7-d\\a=7-(-3)\\a=7+3\\a=10[/tex]

⇒ to get the 15th term we will go back to the general formula of finding the nth term in the place if n we will plug in 15 and simplify the formula

[tex]T_{15} =a+(15-1)d\\T_{15}=a+(14)d\\T_{15}=a+14d\\[/tex]

⇒Now we find that the 15th term is equal to a plus 14(d)

⇒Note we already have the value of a and we can just plug them in to find the value of the 15th term and simplify.

[tex]a=10,d=-3\\T_{15}=a+14d\\\\T_{15}=10+14(-3)\\T_{15}=10-42\\T_{15}=-32[/tex]

⇒The 15th term is -32

The solution for the equations are :

She subtracts 12 from w , divides by 3 , then multiplies by 6 = 2w - 24

She subtracts 12 from w , multiplies by 3 , then divides by 6 = w/2 - 6

She multiplies w by 3 , subtracts 12 , then divides by 6 = w/2 - 2

She divides w by 3 , subtracts 12 , then multiplies by 6 = 2w - 72

She multiplies w by 6 , subtracts 12 , then divides by 3 = 2w - 4

She divides w by 6 , subtracts 12 , then multiplies by 3 = w/2 - 36

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Winnie is thinking of a number = w

Now ,

a)

She subtracts 12 from w , divides by 3 , then multiplies by 6

So , the equation will be

A = ( (w - 12 ) / 3 ) x 6

A = ( w - 12 ) x 2

A = 2w - 24

Therefore , the equation is 2w - 24

b)

She subtracts 12 from w , multiplies by 3 , then divides by 6

So , the equation will be

A = ( ( w - 12 ) x 3 ) / 6

A = ( w - 12 ) / 2

A = w/2 - 6

Therefore , the equation is w/2 - 6

c)

She multiplies w by 3 , subtracts 12 , then divides by 6

So , the equation will be

A = ( 3w - 12 ) / 6

A = w/2 - 2

Therefore , the equation is w/2 - 2

d)

She divides w by 3 , subtracts 12 , then multiplies by 6

So , the equation will be

A = ( ( w/3 - 12 ) ) x 6

A = ( w/3 ) x 6 - 12 x 6

A = 2w - 72

Therefore , the equation is 2w - 72

e)

She multiplies w by 6 , subtracts 12 , then divides by 3

So , the equation will be

A = ( 6w - 12 ) / 3

A = ( 6w ) / 3 - 12/3

A = 2w - 4

Therefore , the equation is 2w - 4

f)

She divides w by 6 , subtracts 12 , then multiplies by 3

So , the equation will be

A = ( w/6 - 12 ) x 3

A = ( w/6 ) x 3 - 12 x 3

A = w/2 - 36

Therefore , the equation is w/2 - 36

Hence , the equations are evaluated and solved

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Angle 1 = A

Angle 2 = B

They are supplementary, that means that they add 180 degrees, then: A + B = 180

One angle measures 12 degrees less than 3 times the other, tahn means: A - 12 = 3B

Equation 1: A + B = 180

Equation 2: A - 12 = 3B

Solving for A in equation 1:

A + B = 180

A = 180 - B

Using this value into equation 2, and solving for B:

A - 12 = 3B

(180 - B) - 12 = 3B

180 - B - 12 = 3B

168 = 3B + B = 4B

4B = 168

B = 168/4 = 42

B = 42

Using the expression we found for A:

A = 180 - B = 180 - 42 = 138

A = 138

Answer

42 degrees and 138 degrees

The number of candy bars Clarissa had left are 55

Given,

In the question:

Clarissa had 72 candy bars to sell. She sold 4 per day for 8 days. She ordered 15 more candy bars to share with her 3 friends.

To find the number of candy bars Clarissa had left.

Now, According to the question:

Total candy sells is 72

Sold candy = 4 per day for 8 days

Sharing candy is 15

Based on the given conditions,

Formulate:

15 + 72 - 8 x 4

Calculate the product or quotient:

15 + 72 - 32

calculate the sum or difference

87 - 32

= 55

Hence,  the number of candy bars Clarissa had left are 55.

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Answer: 35

Step-by-step explanation:

Answer:   huh?

Step-by-step explanation:

huh?

The multiplication expression will be (3/8 × 4/3) and the resultant answer of this expression will be 1/2.

So, the expression to solve the given fractions will be:

Now, also solve as follows:

Therefore, the multiplication expression will be (3/8 × 4/3) and the resultant answer of this expression will be 1/2.

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Answer:

3/8 x 4/3

(That equals 1/2)

hope this helps. Currently doing this i-Ready lesson right now.

SOLUTION:

Step 1:

In this question, we are given the following:

The equation of the directrix for the parabola:

Step 2:

The details of the solution are as follows:

Next, we can see that the equation of the directrix for the parabola is at:

This is because:

Then, y = k - p

y = 3 - p

p = 1/ 4a

p = 1 / 4(-1/8)

p = -2

y = 5

1) Since in this pie chart, we have a budget. Let's locate the sectors for Housing, Insurance, and utilities

2) Enlisting them:

Housing: 24.8%

Insurance: 26.7%

Utilities: 12.9%

\%

So we can add them up:

Answer:

Many solutions

Answer:

y= 6x-8

Step-by-step explanation:

you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.

Answer:

Step-by-step explanation:

recall slope m is:

slope = m

m = (y2-y1) / (x2-x1)

point P1 (0,-8)  in the form (x1,y1)

point P2(1,-2)  in the form (x2,y2)

m = { -2-(-8) } / { 1-0 }

m = { -2+8 } / 1

m = 6 /1

m = 6

then plug in any point, I'll use P1

y - y1 = m(x -x1) (point-slope formula)

y - (-8) = 6*(x-0)

y+8 = 6x

y= 6x -8  (slope-intercept formula)  :)

The new coordinates of the point (9, 10) after a rotation of 270 degrees counter-clockwise around the origin are (10, -9).

The coordinates of the point are (9, 10). We perform a transformation on the point. The type of transformation performed is rotation. The rotation is done at an angle of 270 degrees in a counter-clockwise direction around the origin. First of all, we need to convert the angle of rotation from degrees to radians. The angle θ is 270*(π/180) = 3π/2. Let the original coordinates be denoted by (a, b) and the coordinates after rotation be (x, y). We can write the following equations using the theory of rotation.

x = a×cos(θ) - b×sin(θ) = 9×cos(3π/2) - 10×sin(3π/2) = 0 - 10(-1) = 10

y = b×cos(θ) + a×sin(θ) = 10×cos(3π/2) + 9×sin(3π/2) = 0 + 9(-1) = -9

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The time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

Given that:-

[tex]s(t) = -16t^2 + 50t + 4[/tex]

Where s(t) represents the distance traveled by the football after t seconds.

We have to find the time at which the football is 25 feet above the ground.

Putting s (t) = 25 feet, we get,

[tex]25 = -16t^2 + 50t + 4\\\\ -16t^2 + 50t -21=0\\\\ 16t^2 - 50t - 21=0[/tex]

Using middle term split theorem to solve the equation, we get,

[tex]16t^2 -42t -8t+ 21=0[/tex]

2t(8t - 21) -(8t-21) = 0

(8t - 21)(2t - 1) = 0

t = 21/8 and 1/2 seconds.

Hence, the time at which the football is 25 feet above the ground is 1/2 seconds and 21/8 seconds.

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Average Speed = 160÷5= 32km/hr

Given,

A ferry traveled from Jetty A to Jetty B in 3 h. It then traveled from Jetty B back to Jetty A in 2 h. The distance between the two jetties was 80 km.

To find,

Total time for the whole journey,

Solution: Time is taken from Jetty A to Jetty B = 3 hours

and Jetty B to Jetty A = 2 hours

Total time = 3 h + 2 h = 5 h

Average Speed = Total Distance ÷ Total Time

Since, Total distance = 80×2= 160

Average Speed = 160÷5= 32km/hr

a) 5 hours

b) 32km/hr

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From the information available, the puppy weighs 21 1/2 pounds (or 21.5 pounds) at nine weeks old. We shall take this to be the initial value. Hence, we can deduce the following function that relates the weight to the age (in weeks).

However,the puppy gains weight at the rate of 2/5 pounds per week.

Using the weight at nine weeks as the initial value as shown above, we would now have the function re-written as;

However, the weight currently is given as 25 1/10 pounds, and we can insert this into the output of the function and then derive the input, as follows;

Answer: (-16)-(-20)= 4

Step-by-step explanation:

The expression "negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity" is given as "7 over 10 times p minus 9".

The correct answer is option B

negative 7 minus one fifth times p end quantity plus the quantity nine tenths times p minus 2 end quantity

= (-7 - 1/5 × p) + (9/10 × p - 2)

open parenthesis

= (-7 - 1/5p) + (9/10p - 2)

= -7 - 1/5p + 9/10p - 2

= -1/5p + 9/10p - 2 - 7

= (-2p + 9p) / 10 - 9

= 7p/10 - 9

= 7/10p - 9

Therefore, the solution to the fractional expression (-7 - 1/5 × p) + (9/10 × p - 2) is 7/10p - 9

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