sec x tanx( 1- sin^2 x) = __x

Sec X Tanx( 1- Sin^2 X) = __x

Answers

Answer 1

Answer:

sin(x)

Step-by-step explanation:

sec x tanx(1 - sin^2 x)

1 - sin^2 x = cos^2 x

sec(x)tan(x)cos^2(x)

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

[tex]\frac{sin(x)cos^2(x)}{cos^2(x)}[/tex]

sin(x)


Related Questions

Can someone help me please..

Answers

Answer:

linear function

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The graph is a straight line, so it's a linear function.

Answer: B

The sum of four consecutive integers is equal to three times the smallest number. What is the sum of the four integers?

Answers

Answer:

-18

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Let the four consecutive integers be x, (x + 1), (x + 2) & (x + 3)

Smallest integer = x

According to the given condition:

[tex]x + (x + 1) + (x + 2) + (x + 3) = 3x \\ \\ 4x + 6 = 3x \\ \\ 4x - 3x = - 6 \\ \\ x = - 6 \\ \\ Sum\: of\: the\:integers \\=4x + 6 = 4( - 6) + 6 \\ \\ = - 24 + 6 \\ \\ = - 18[/tex]

what is the correct equation ?

Answers

Answer:

B

Step-by-step explanation:

B is the correct equation

With a.b.c=1 and a+b+c=1
Prove that:

Answers

Answer:

HOPE IT HELPS PLZ MARK ME BRAINLIEST

Step-by-step explanation:

abc=1

⟹c=1/ab

1/(1+a+1/b)+1/(1+b+1/c)+1/(1+c+1/a)

=1/(1+a+1/b)+1/(1+b+ab)+1/(1+1/ab+1/a)

=b/(1+b+ab)+1/(1+b+ab)+ab/(1+b+ab)

=1+b+ab/(1+b+ab)

=1

In the rhombus, mZ1 = 140. What are mZ2 and mZ3? The diagram is not to scale.

Answers

gjgb go ftc in the class is not a short time to be be free and ear is not a short time to

Assuming both triangles of the rhombus are equal to each other, mZ1=140, which would also mean mZ2 (opposite side of mZ1) is also 140. Which eliminates choices C and D.

My Ultimate guess is choice B (mZ2=140, mZ3=20)

The histogram below shows the distribution of the assets (in millions of dollars) of 71 companies. Does the distribution appear to be normal? Why or why not?

No, the assets do not appear to follow a normal distribution, the values are evenly concentrated.
Yes, the assets appear to follow a normal distribution, the values are evenly distributed. No, the assets do not appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends.
Yes, the assets appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends.

Answers

Answer:

Yes, the assets appear to follow a normal distribution, the values are concentrated in the center and taper off towards the ends

Step-by-step explanation:

The distribution shown above is normal as it exhibits symmetry. This means thatvtge values are concentrated in the middle with the peak so situated in the middle of the distribution which is exactly what is displayed above. As we move towards either side of the center, the values begin to decrease and we have the tail at either side of the midpoint and not on one side of the distribution.

Identify the domain of the function shown in the graph.

A. -2 ≤ x ≤ 2
B. {-2,2}
C. x is all real numbers.
D. x > -2​

Answers

Answer:

C. x is all real numbers

Step-by-step explanation:

Think of domain as how far the graph expands on the x-axis as asymptotes as the limits. So in this case, the graph extends infinitely on the x-axis; so it should be all real numbers.

What are the coordinates of the point shown on the coordinate plane?​

Answers

Answer:

(5,4)

Step-by-step explanation:

The coordinates of a point are the x and y-values of a point. It is organized like (x,y). The x-value is written first and then the y-value. The x-value is the "run" or the horizontal value; so, the value of the axis on the bottom. The y-value is the "rise" or the vertical value. The axes are also labeled. For this graph, the x-value is 5 and the y-value is 4. The final answer is (5,4).

There are 7 black balls and 8 red balls in an urn. If 5 balls are drawn without replacement, what is the probability that exactly 4 black balls are drawn

Answers

Answer:

(5/20)*(4/19)*(3/18)*(2/17) = 120/116280 = .001 = .1%

Step-by-step explanation:

A storage box with a square base must have a volume of 80 cubic centimeters. The top and bottom cost $0.20 per square centimeter and the sides cost $0.10 per square centimeter. Find the dimensions that will minimize cost. (Let x represent the length of the sides of the square base and let y represent the height. Round your answers to two decimal places.) x

Answers

Answer:

Box dimensions:

x =  3.42 cm

y = 6.84 cm

C(min) = 14.04 $

Step-by-step explanation:

We need the surface area of the cube:

S(c)  =  2*S₁ ( surface area of top or base) +  4*S₂ ( surface lateral area)

S₁  = x²        2*S₁  = 2*x²

Surface lateral area is:

4*S₂  =  4*x*h                          V(c) =  80 cm³  =  x²*h          h  =  80/x²

4*S₂  = 4*80/x

4*S₂  = 320 / x

Costs

C (x)  =  0.2* 2*x²   +  0.1 * 320/x

Taking derivatives on both sides of the equation we get:

C´(x)  =    0.8*x   -  32/x²

C´(x)  =  0            0.8*x - 32/x²  = 0

0.8*x³  -  32  =  0            x³  =  32/0.8

x³  =  40  

x =  3.42 cm

h =  80/(3.42)²          h  = 6.84 cm

To find out if x = 3.42 brings a minimum value for C we go to the second derivative

C´´(x) =  64/x³       is always positive for  x > 0  

The C(min) = 0.4*(3.42)²  +  32/(3.42)

C(min)  =  4.68 +  9.36

C(min)  = 14.04 $

What is the slope of (-4,1) and (-1,3)

Answers

Answer:

slope is 2÷3 of giving line points

Sidney's retirement party costs $28, plus an additional $1 for each guest she invites. What is the maximum number of guests there can be if Sidney can afford to spend a total of $44 on her retirement party?

Answers

Answer:

16 guests

Step-by-step explanation:

Firstly, we know Sidney's retirement party costs a starting amount of $28. We also know that she can only spend $44 on her retirement party. The easiest way to do it in my opinion is subtract 28 from 44, giving you 16. Since we know that each guest is only $1, we know that the maximum number of guests Sidney can afford is 16 guests. I hope this helped and please don't hesitate to ask for clarification!

$44-$28=$16

$16÷$1=16 guests at most

Joshua and his children went into a grocery store and will buy bananas and peaches. Each banana costs $0.70 and each peach costs $2. Joshua has a total of $25 to spend on bananas and peaches. Write an inequality that would represent the possible values for the number of bananas purchased, bb, and the number of peaches purchased, p.p.

Answers

Dang, now I just got confused

5. In 2015, Texas led the nation in the percentage of people who lacked health insurance (21.6% of the population). It is known that, nationally, 5% of patients account for 50% of the costs of healthcare. These are the “high cost” patients Assume* that: Being a high cost patient and being uninsured are independent characteristics Insured and uninsured people become “patients” at the same rate The uninsured and high cost patients in Texas are evenly distributed across the state, and that high cost patients are evenly distributed across insured and uninsured patient populations a. What is the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured?

Answers

Answer: 0.108

Step-by-step explanation:

Since the probability of the uninsured is 21.6% of the population, then the probability of insured will be:

= 1 - 21.6%

= 78.4%

The probability of high cost patients is 5%. Therefore, the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured will be:

= 5% × 21.6%

= 0.05 × 0.216

= 0.108

I’ll mark u plz help

Answers

Answer:

D is the answer

Step-by-step explanation:

all sides and angles are equal

hope it helps!! let me know if it does

Write 9/7 as a mixed number. Give your answer in its simplest form.

Answers

Answer:

1 2/7 ........................................

Answer:

1 2/7.

Step-by-step explanation:

Divide 9 by 7 :- this gives 1 with a remainder of 2.

So it is 1 2/7.

The park is 18 miles east of my home. The library is 12 miles north of the park. How far is my home from the library?
35 miles
21.6 miles
8.2 miles
18.6 miles

Answers

Answer :
21.6
Explanation :
Use Pythagorean theorem to solve it a^2+b^2=c^2

Answer:

21.6 miles

Step-by-step explanation:

If you draw, it'll be a right triangle with legs 12 miles and 18 miles, we need to find the hypotenuse.

So,

[tex] \sqrt{ {12}^{2} + 18^{2} } [/tex]

[tex] = \sqrt{144 + 324} [/tex]

[tex] = \sqrt{468} [/tex]

[tex] = 6\sqrt{13} [/tex]

6√13 ≈ 21.6

Answered by GAUTHMATH

Can someone please help me with this?!!!

Answers

Step-by-step explanation:

A.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7.7

Round 790 to the nearest hundred? Hurry pls and please don't answer if you know you wrong

Answers

Answer:

HEY THERE!

Step-by-step explanation:

the answer is:800

hope it helps and have a great day!

Ans: 800

explanation:

HELP ASAP please and thanks !!!

Answers

Answer:

t = 1

Step-by-step explanation:

16 - 2t = 5t + 9

7 = 7t

t = 1

16 - 2t = 5t + 9
Subtract nine for both sides
7 - 2t = 5t
Add 2t on both sides
7 = 7t
Divide by 7 for both sides
1 = 1t

X+ y = 18
X = 2y
What is the solution of the system of equations?
i need the answer asap lol!!!!

Answers

Answer:

( 12 , 6 )  or x=12,y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

if  x = 2y then

2y+y=18

3y=18

=6

The perimeter of an equilateral triangle is 126mm.
State the length of one of its sides.

Answers

Answer:  42

Explanation:

Divide 126 over 3. This is because any equilateral triangle has all three sides the same length

126/3 = 42

Each side is 42 mm long

So its perimeter is 3*42 = 126 mm

Side note: if your teacher says a triangle is equiangular, then it's automatically equilateral as well (and vice versa).

The length of one of its sides of an equilateral triangle is  42 mm.

What is equilateral triangle?

In geometry, an equilateral triangle exists as a triangle that contains all its sides equivalent in length. Since the three sides stand equivalent therefore the three angles, opposite to the equivalent sides, stand equivalent in measure. Thus, it stands also named an equiangular triangle, where each angle measure 60 degrees.

The perimeter of an equilateral triangle exists 126 mm.

The equilateral triangle contains all three sides of the same length

126/3 = 42

Each side stands 42 mm long

So its perimeter stands 3 [tex]*[/tex] 42 = 126 mm

Therefore, the length of one of its sides = 42 mm.

To learn more about equilateral triangle

https://brainly.com/question/1399707

#SPJ2

Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have

Answers

9514 1404 393

Answer:

  S = {2, 3, 5, 7, 11, 13}

  2^6 = 64 subsets

Step-by-step explanation:

The list of primes less than 15 is ...

  S = {2, 3, 5, 7, 11, 13}

__

A set with n unique elements has 2^n unique subsets, including the empty set and the full set. This set of 6 elements has 2^6 = 64 subsets.

express the ratio as a fraction in the lowest term.3600s:2hours​

Answers

Step-by-step explanation:

3600s=1hr

so, 1hr:1hr

1:1

Based on the concept of fractions and the information in the question, the fraction form in the lowest term is 1/2.

What is Fraction?

Fraction is a term that is used to describe the portion/part of the whole thing. It represents the equal parts of the whole.

Generally, the term fraction has two parts, namely numerator and denominator.

Hence, in this case, to express the ratio as a fraction in its lowest term, convert both units to the same unit of time.

1 hour is equal to 3600 seconds so 2 hours is equal to 2 * 3600 = 7200 seconds.

Now the ratio is 3600 seconds to 7200 seconds.

To simplify this ratio we can divide both terms by their greatest common divisor which is 3600.

So the simplified ratio is 1:2.

Therefore, in this case, it is concluded that the fraction form in the lowest term is 1/2.

Learn more about fraction here: https://brainly.com/question/30154928

#SPJ2

What conclusion can be determined from the dot plot below?

A dot plot showing five dots above 9, six dots above 10, three dots above 11, and one dot above 12.

The number of observations is 10.
The median of the data set is 10.
The mean of the data set is 15.
The range of the data set is 12.

Answers

The median of the data set is 10. ;)

The total cost (in dollars) of printing x dictionaries is C(x) = 20,000 + 10x. Find the average value of the cost function over the interval [0, 700).

Answers

Answer:

The average value of the cost function over the interval  is of $23,500.

Step-by-step explanation:

Average value of a function:

The average value of a function, over an inteval [a,b], is given by:

[tex]A = \frac{1}{b-a} \int_{a}^{b} f(x) dx[/tex]

In this case:

Function [tex]C(x) = 20000 - 10x[/tex], interval with [tex]a = 0,b = 700[/tex]

So

[tex]A = \frac{1}{700} \int_{0}^{700} 20000+10x dx[/tex]

[tex]A = \frac{1}{700} (20000x+5x^2)|_{0}^{700}[/tex]

So

[tex]A = \frac{20000(700)+5(700)^2}{700} = 23500[/tex]

The average value of the cost function over the interval  is of $23,500.

Determine the equation of the line that is parallel to the given line, through the given point.

3x+2y = 10; (8,-11)

Answers

Answer:

[tex]y=-\frac{3}{2}x+1[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope

1) Determine the slope (m)

[tex]3x+2y = 10[/tex]

First, we must organize this given equation in slope-intercept form. This will help us identify its slope.

[tex]3x+2y = 10[/tex]

Subtract 3x from both sides

[tex]2y = -3x+10[/tex]

Divide both sides by 2

[tex]y = -\frac{3}{2} x+5[/tex]

Now, we can identify clearly that [tex]-\frac{3}{2}[/tex] is in the place of m in [tex]y=mx+b[/tex], making it the slope. Because parallel lines have the same slope, this makes the slope of the line we're currently solving for [tex]-\frac{3}{2}[/tex] as well. Plug this number into [tex]y=mx+b[/tex]:

[tex]y=-\frac{3}{2}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-\frac{3}{2}x+b[/tex]

Plug in the given point (8,-11) and solve for b

[tex]-11=-\frac{3}{2}(8)+b\\-11=-\frac{24}{2}+b\\-11=-12+b[/tex]

Add 12 to both sides

[tex]1=b[/tex]

Therefore, the y-intercept of the line is 1. Plug this back into [tex]y=-\frac{3}{2}x+b[/tex]:

[tex]y=-\frac{3}{2}x+1[/tex]

I hope this helps!

what is the probability of the two numbers being the same if two regular dice are thrown?

Answers

Answer:

1/6

Step-by-step explanation:

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6

6/36 = 1/6

Answer:

1/6.

Step-by-step explanation:

The favourable outcomes are 1,1  2,2  3,3  4,4   5,5 and 6,6  = 6 outcomes.

All the possible outcomes for 2 regular dice = 36.

Therefore the required probability = 6/36

= 1/6.

You’re making 40 servings of English custard. Each serving is 250 ml. The following recipe yields 2 L.

Calculate how much of each ingredient you will need to make enough servings of the custard.

Milk 2 L

Vanilla essence 4 ml

Sugar 200 g

Egg yolks 20

Answers

Answer:

Milk   10 L

Vanilla essence  = 20 ml

Sugar   = 1kg

Egg yolks   100 yolks

Step-by-step explanation:

2l/250ml = 8 servings per recipe ,

40 servings/8 = 5 "batches"

Milk 2 L * 5 = 10 L

Vanilla essence 4 ml * 5 = 20 ml

Sugar 200 g * 5  = 1000g = 1kg

Egg yolks 20 * 5 = 100 yolks

QUICKKKKKKKKKKKKKKKKKKKKKKK

Answers

Answer:

Step-by-step explanation:

It’s G

Other Questions
2.B. Melody had $25 and withdrew $300 from his bank account. She bought a pair of trousers for $30.00, 2 shirts for$19.00 each, and 2 pairs of shoes for $40.00 each. Give the final expression, and determine how much money Mel hadat the end of the shopping day. The tools shown in the diagram are used for gardening Each tool is made upof two levers that are attached to each other. The handles are the input arms,and the cutting blades are the output armoHand shearsLopperWhich tool has a greater mechanical advantage, and why?A. The lopper, because the input work is the same as the output workB. The hand shears, because their shorter handles transfer forcemore quickly to the cutting bladeC. The hand shears, because you can apply less total force to thehandles with one handD. The lopper, because its longer handles can produce more outputforce with less input force Simplify this algebraic expression y-3 over 3+12 with steps please A student uses a clinometer to measure the angle of elevation of a sign that marks the point on a tower that is 45 m above the ground. The angle of elevation is 32 and the student holds the clinometer 1.3 m above the ground. He then measures the angle of elevation of the top of the tower as 47. Sketch and label a diagram to represent the information in the problem. Determine the height of the tower to the nearest tenth of a metre Solve for x. Round to the nearest tenth of a degree, if necessary. In a cup game if the teams have the same score at the end of the match, 30 minutes of ------- are played. Find xHelp me please we should conserve environment give reason F(x) = x2. What is g(x)?need help asap!!! 15/4 : 5/12 =tolong dijawab ya :) Which group had the greatest impact on American values, cultural attitudes, and political institutions?A GermansB Scots-Irish C British Protestants S Spanish A firm's total output is 1500 units. The same firm's average variable cost is equal to $5 while its average fixed cost is equal to $15. How much is the firm's total cost of production The Triple Alliance and Triple Entente were formed through the signing of which statement reflects a citizens need to increase his or her civic participation What is the capital of Canada Please helpWill give the brainliest! What is the growth factor that corresponds to a product that increases its value first by 2%, and then increases by 5% ofits value, and finally increases by 12% of its value? Round to the tenths place.a. 1.20C. 1.19b. 3.19d. 1 The coordinate plane below represents a city. Points A through F are schools in the city.graph of coordinate plane. Point A is at negative 5, 5. Point B is at negative 4, negative 2. Point C is at 2, 1. Point D is at negative 2, 4. Point E is at 2, 4. Point F is at 3, negative 4.Part A: Using the graph above, create a system of inequalities that only contains points D and E in the overlapping shaded regions. Explain how the lines will be graphed and shaded on the coordinate grid above. (5 points)Part B: Explain how to verify that the points D and E are solutions to the system of inequalities created in Part A. (3 points)Part C: Timothy can only attend a school in his designated zone. Timothy's zone is defined by y < 3x 3. Explain how you can identify the schools that Timothy is allowed to attend Is the highest court in the land the Supreme Court has original jurisdiction in cases involving all the following except PLEASE HELP ME ANSWER THISthank youBriefly explain why there was a split in Islam that resulted in the creation of the two different sects.