What are the steps to solving this limit?

Answer:

[tex]1-\cos \left(x\right)[/tex]

Step-by-step explanation:

[tex]\frac{\sec \left(x\right)\sin ^2\left(x\right)}{1+\sec \left(x\right)}[/tex]

Use the identity: [tex]\sec \left(x\right)=\frac{1}{\cos \left(x\right)}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{1+\frac{1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{1}{\cos \left(x\right)}\sin ^2\left(x\right)}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

[tex]\frac{\frac{\sin ^2\left(x\right)}{\cos \left(x\right)}}{\frac{\cos \left(x\right)+1}{\cos \left(x\right)}}[/tex]

Divide them using [tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\times d}{b\times c}[/tex]

[tex]\frac{\sin ^2\left(x\right)\cos \left(x\right)}{\cos \left(x\right)\left(\cos \left(x\right)+1\right)}[/tex]

Cancel cos(x):

[tex]\frac{\sin ^2\left(x\right)}{\cos \left(x\right)+1}[/tex]

Use the identity: [tex]\sin ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\frac{1-\cos ^2\left(x\right)}{1+\cos \left(x\right)}[/tex]

[tex]\frac{-\left(\cos ^2\left(x\right)-1\right)}{1+cos(x)}[/tex]

Use the difference of squares formula:

[tex]-\frac{\left(\cos \left(x\right)+1\right)\left(\cos \left(x\right)-1\right)}{1+\cos \left(x\right)}[/tex]

Cancel out 1+cos(x):

[tex]-\left(\cos \left(x\right)-1\right)[/tex]

Remove outer bracket:

[tex]-\cos \left(x\right)+1[/tex]

[tex]1-cos(x)[/tex]

Answer:

D)The equation is f(x)=3x^2−9x+3, and the parabola opens upward.

Answer:

1679616

Step-by-step explanation:

Answer:

1679616

Step-by-step explanation:

Answer:

0.56

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If you subtract the p4 and p2 you get p2. q5-q2 is q3. 39/3 is 13. Therefore those expressions are equivalent.

5 ( y - 4 ) = 7 ( 2y + 1 )

The value of y.

5 ( y - 4 ) = 7 ( 2y + 1 )

or, 5y - 20 = 14y + 7

or, 5y - 14y = 7 + 20

or, -9y = 27

or, y = 27/-9 = -3

The value of y is -3.

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

To know more about Quadrilateral on:

https://brainly.com/question/29119487

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Answer:

130°

Step-by-step explanation:

Angle 5 and Angle 8 are vertical angles, which therefore means the angles are congruent, or have the same measure. Since it tells us that Angle 8 measures 130°, we know Angle 5 will be 130° as well. I hope this helps :)

Answer:

There are no x-intercepts

Step-by-step explanation: This is because the parabola does not pass through the x-axis at all.

Answer:

no x intercept

Step-by-step explanation:

The x intercept is the value where it crosses the x axis.

This functions does not cross the x axis

There is no x intercept

Answer: Functions show real world pattern problems in algebraic form.

Answer:

EH = 10

Step-by-step explanation:

Because F is a midpoint, that means that FG and EF are congruent to each other. So, since FG = 2, that means that EF also equals 2. Because FH also includes FG, you can take the 2 from the FG, and then take that 2 away from 8. Now you know that GH = 6. All that is left is to add all 3 of the units together (2+2+6=10).

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

Learn more about Prime Factorization here:

brainly.com/question/4184435

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Complete question is;

In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans

Answer:

A) Relative percent distribution

B) 576 Americans

Step-by-step explanation:

A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.

This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.

Thus,it is relative percent distribution.

B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people

Let's solve each equation for x

8x - 1 = 23

Add 1 to each side.

8x = 24

Divide both sides by 8

x = 3

Luckily, we already found the equation which has the solution of x = 3

The answer is: 8x - 1 = 23

Answer:

1.25

Step-by-step explanation:

I did the math

each notebook is 1.25

if u multiply by 7 it makes 8.75

Answer:

each note bok cost 1.25

Step-by-step explanation:

27.25-15=12.25

12.25-3.50=8.75

8.75/7=1.25

Answer:

  0.72 pounds

Step-by-step explanation:

Each of the 7 people gets 1/7 of the pounds of pie, so ...

  (5.04 pounds)/7 = 0.72 pounds

Each person gets 0.72 pounds of pie.

Answer:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Step-by-step explanation:

Let's define H as the number of hardcover books.

Let's define P as the number of paperback books.

Now we have the restrictions:

"... so that there are at least 20 books in each box..."

Then:

P + H ≥ 20   (the total number of books per box is 20 or larger)

"...but the boxes cannot weigh more than 30 pounds."

P*0.8 lb + H*1.3 lb ≤ 30lb (the maximum weight that we can have in the box is 30 pounds)

Then the set of constraints is:

P + H ≥ 20

P*0.8 lb + H*1.3 lb ≤ 30lb

Notice that this system has a lot of possible solutions.

P = 20 and H = 0 is  a solution

P = 21 and H = 0 is a solution.

P = 19 and H = 1 is a solution.

etc...

Answer:

The quotient of -27/9 is -3 hope this helps <3

Step-by-step explanation:

9 goes into 27, 3 times, since 27 is negative, it would be -3

[tex](-3)^{2} + 5(-3) = - 4\\9 - 15 = - 4\\-6 \neq -4[/tex]

This is not possible, as -6 is not equal to -4.

your answer is correct.

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

[tex]\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}[/tex]

then I simplified them

[tex](5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\[/tex]

[tex]36 + k^2 - 4k +4 = k^2 + 4[/tex]

[tex]-4k + 36 = 0\\[/tex]

[tex]4k = 36[/tex]

[tex]k = 9[/tex]

when k = 9, the two distances are equal

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m

see the photos above given

Answer:

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

The solutions are

[tex]$\{-\frac{3}{2},\frac{3}{2}, -\sqrt{2i}, \sqrt{2i} \}$[/tex]

The Real roots are

[tex]$\{-\frac{3}{2},\frac{3}{2}\}$[/tex]

Step-by-step explanation:

[tex]$\frac{18}{x^4} +\frac{1}{x^2}=4$[/tex]

Multiply both sides by [tex]x^4[/tex]

[tex]$x^4\frac{18}{x^4} +x^4\frac{1}{x^2}=4\cdot x^4$[/tex]

[tex]$18+x^2=4x^4$[/tex]

[tex]4x^4-x^2-18=0[/tex]

Substitute [tex]x^2=t[/tex]

[tex]4t^2-t-18=0[/tex]

Solving the quadratic equation using the quadratic formula:

[tex]$t=\frac{-(-1)\pm \sqrt{(-1)^2-4\cdot 4(-18)}}{2\cdot 4}$[/tex]

[tex]$t=\frac{1\pm \sqrt{289}}{8}$[/tex]

[tex]$t=\frac{1\pm 17}{8}$[/tex]

[tex]$t_1=\frac{9}{4}$[/tex]

[tex]t_2=-2[/tex]

Now we have to solve for [tex]x^2=t[/tex]

[tex]$x^2=\frac{9}{4} \implies x=\pm \frac{3}{2} $[/tex]

[tex]$x^2=-2 \implies x=\pm\sqrt{-2} \implies x=\pm\sqrt{2i} $[/tex]

Answer:

Before A:[tex]\frac{3\sqrt{3}}{6}[/tex]

A:Already Simplified!

B:Also, Already Simplified! Can be changed to [tex]\frac{\sqrt{12}}{3}[/tex]

C:Already Simplified, yet again. Can be changed to[tex]\frac{\sqrt{27}}{3}[/tex]

D:Already Simplified.

Step-by-step explanation:

For Before A, I multiplied both denominator and numerator by square root of 3. The multiplication moved the square root to the numerator, simplifying the fraction.

The different forms of B and C are just that I multiplied the square of the first number into the square roots. This is OK because the square root of a number's square is the number itself. Therefore, you can multiply a square root by the square of the number from outside the root.

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Answer: 1.25 hours

Step-by-step explanation: 600/120=5. Kin‘s travel time is 5 hours. 600/160=3.75. 5-3.75=1.25.

Answer:

add ans subtract like normal

Step-by-step explanation:

Step-by-step explanation:

To add decimals, follow these steps: Write down the numbers, one under the other, with the decimal points lined up. Put in zeros so the numbers have the same length .Then add, using column addition, remembering to put the decimal point in the answer.

subtraction also in the same way only place the large no up and small down and do subtraction.

I hope this helps....