Factor and simplify
sec⁴x-tan⁴x÷sec²x + tan²
X
Verify the identity​

Answers

Answer 1

Answer:

1

Step-by-step explanation:

sec⁴x-tan⁴x÷sec²x + tan²X

= sec⁴x-tan⁴x/sec²x + tan²X

= (sec²x)²-(tan²x)²/sec²x + tan²X

Using the difference of two square

a² - b² = (a+b)(a-b)

(sec²x)²-(tan²x)² = (sec²x + tan²X)(sec²x - tan²X)

= (sec²x)²-(tan²x)²/sec²x + tan²X

= (sec²x + tan²X)(sec²x - tan²X)/sec²x + tan²X

= sec²x - tan²X

Also sec²X = 1 + tan²X

Substitute

=  1 + tan²X- tan²X

= 1

Hence the value of the expression is 1


Related Questions

find the mean of the distribution​

Answers

Answer:

yyy

Step-by-step explanation:

Answer:Canst see

Step-by-step explanation:

sorry my guy

pls explain i dont get it ​

Answers

Answer:

C

Step-by-step explanation:

A: (0,__) (__ is the y-intercept)

In this case it is (0,3) so 3

B: y=mx+b (b is the y-intercept)

-4 is b so -4

C: y=2x+4

4 is b so 4

Let me know if you would like further explanation!!

Quick I need some help! Simplify to create an equivalent expression. ( photo linked)

Answers

Answer:

B. 31r − 71 is the answer!

2radical3+3radical2
Rationalize the denominator (simplify)
(3-√2​

Answers

Step-by-step explanation:

ucixidepchflgkckcudkchdkgldjcisifiic

3 examples of proportion in real life ?

Answers

Answer:

Proportion of games an NFL team wins.

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

Step-by-step explanation:

Proportion is a relationship between measures.

Examples in real life are:

Proportion of games an NFL team wins.

For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.

Other possible examples are:

Proportion of defective products in a shipment.

Proportion of voters of a certain candidate in an election.

...

the sum of a number and its multiplicative inverse is 5 times the number

Answers

Answer:

Holii me ayudas a ganar plis

Let f(x) = x^2 + 1 and g(x) = x − 3. Write an expression for f(g(x)).

Answers

Answer:

x³-6x+10

Step-by-step explanation:

f(g(x))=(x-3)²+1

(x-3)(x-3)+1

x²-3x-3x+9+1

x³-6x+10

The number of hospitals in a certain country has been declining for many years. In 2014, there were 5,727 hospitals, but, in 2017, there were only 5,571. Assuming this trend is linear, write an equation for the number of hospitals H in the this country t years since 2000.
H=

Answers

Answer:

H = -52t + 6455

Step-by-step explanation:

2014 is 14 years since 2000. That gives you the point (14, 5727).

2017 is 17 years since 2000. That gives you the point (17, 5571).

Since we have two points in the line, we can find the equation of the line.

y = mx + b

m = slope = (difference in y)/(difference in x)

m = (5571 - 5727)/(17 - 14) = -156/3 = -52

y = -52x + b

Now we use one of the points for x and y, and we solve for b.

5727 = -52(14) + b

b = 6455

The equation is

y = -52x + 6455

Using H and t, we have

H = -52t + 6455

The relationship between the number of hospitals and the years, is a linear function.

The equation for the number of hospitals is: [tex]H = -52t + 6455[/tex]

Let

[tex]t \to[/tex] years since 2000

[tex]H \to[/tex] number of hospitals since 2000

So, we have:

[tex](t_1,H_1) = (14,5727)[/tex] ---- 2014

[tex](t_2,H_2) = (17,5571)[/tex]

Calculate the slope (m)

[tex]m = \frac{H_2 - H_1}{t_2 - t_1}[/tex]

This gives:

[tex]m = \frac{5571 - 5727}{17-14}[/tex]

[tex]m = \frac{-156}{3}[/tex]

[tex]m = -52[/tex]

The linear equation is then calculated using:

[tex]H = m(t - t_1) + H_1[/tex]

So, we have:

[tex]H = -52(t - 14) + 5727[/tex]

[tex]H = -52t + 728 + 5727[/tex]

[tex]H = -52t + 6455[/tex]

Hence, the equation H is: [tex]H = -52t + 6455[/tex]

Read more about linear equations at:

https://brainly.com/question/11897796

I need help please it will mean a lot

Answers

Answer:

The answer is B (2).

Step-by-step explanation:

Answer:

2

you replace the w with 30

30/6=5

then you subtract 3

5-3=2

The first side of a triangle is four inches longer than twice the
second side. The third side of the triangle is 5 inches shorter than
the sum of the other two sides. The perimeter is 72 inches. Find
the lengths of the three sides.

Answers

Answer:

1st Side: 27 inches, 2nd Side: 23/2, 3rd Side: 67/2

Step-by-step explanation:

Let's solve your problem step by step:

First side should be: 2x+4

Because 2 times the second side =, and 4 longer than that.

Second side should be: x

This is the base of the equation, since all the numbers depend on "x"

Third side should be: (3x+4)-5

Because x + x+4, and the third side is 5 shorter..

We add all and we get 72.

Solve for x.

x=23/2

Now, we can solve for other sides, by doubling it and adding 4.

This is answer is correct, I tried it. :)

Barb makes 2.5 pounds
of mashed potatoes to
feed 15 people. How
much will she need to
make to feed 50
people?

Answers

I thinks it 8.35 pounds of mashed potato

Explanation:
If you multiply 15x3.34 it’s 50 so multiply 3.34 with 2.5 so it’s 8.35 pounds!

Find the missing base

Answers

Parallelogram area = height * base
base = Parallelogram area / height
base = 20 / 4
base = 5

Markup & Markdown

In the questions below, you will be ask about situations involving markups and

markdowns. Anytime your answer deals with money, round to the nearest hundredths place and

include proper unit labels. Be sure to show all of your work for each problem.

1. The managers at the hunting store usually determine their prices by using a markup of 11

percent. If they purchased camo pants for $45 each, what will be the price for their customers?

2. The fishing store manager buys flies from a wholesale company for $2.50 apiece. If he prices

each fly for the customers at $3.75, what is the markup percentage?

0.45+100x 11=4.95+45=49.95

50-1008 2.50 = 1.25=50%,

3. The pet store managers purchase dog food from a wholesale company for $3.75 a bag. If

they sell the dog food to the customers for $5.00 a bag, what is the markup percentage they are

using?

Answers

Answer:

$49.95 ; 50% ; 33.33%

Step-by-step explanation:

1.)

Markup % = 11%

Purchase price = $45

Selling price will be :

(100 + 11)% * $45

1.11 * $45 = $49.95

2.)

Purchase price = $2.50

Selling price = $3.75

Markup % :

Profit / purchase price * 100%

[(3.75 - 2.50) / 2.50)] * 100%

1.25 / 2.50 * 100%

0.5 * 100% = 50%

3.)

Purchase price = $3.75

Selling price = $5.00

Markup % :

Profit / purchase price * 100%

[(5.00 - 3.75) / 3.75)] * 100%

1.25 / 3.75 * 100%

0.3333 * 100% = 33.33%

PLZ help me with this question

Answers

Answer:

I believe it's A and D.

If I helped you're welcome. If I didn't I'm sorry.

Answer:

A and D

Step-by-step explanation:

im not too good on fractions but hopefully its right

Help&EXPLAIN
=============

Answers

Answer:

133

Step-by-step explanation:

No: of figures = 3

Fig 1 = l x b = 12 x 6 = 72

Fig 2 = l x b = 13 x 5 = 45

Fig 3 = s xs = 4x 4 = 16

Fig area=  fig 1+ fig 2+fig 3 = 72+45+16 = 133

Please help me please !

Answers

Answer:

A) (a+2)(a-2)

Step-by-step explanation:

The answer is A.

is this graph a function ​

Answers

Answer: yes because it if u plug in x values u get y values

Solve the exponential equation: 4x – 2 = 1∕4
Question 9 options:

A)

x = 1

B)

x = –1

C)

x = –2

D)

x = 2

Answers

4

Step-by-step explanation:

I do not know but maybe 1/4

en una fiesta de disfraces dos quintos de los invitados van disfrazados de superhéroes un quinto de animales y el resto de zombis. si hay 180 invitados ¿cuantos hay disfrazados de cada cosa? ​

Answers

solo un quinto que sería 90 disfrazaos

Show you work! Giving lots of points for great explained answer!

Answers

Answer:

If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.

Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of  flour.

1 3/4 can be rewritten as an improper fraction- 7/4.

3 1/2 can also be rewritten as an improper fraction- 7/2.

Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.

This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs  a lot more than that.

Hope this helps!

Answer:

no she is incorrect

she will require 49/8 cups

pls help the question is in the picture

Answers

The answer to this question is A. i think

Rami bought a house on 1st January 2015. In2015 the house increased in value by 15%. In 2016 the house decreased in value by 8%. On 1st January 2017 the value of the house was $687700. What was the value of the house on 1st January 2015

Answers

Answer:

The value of the house on 1st January 2015 was of $650,000.

Step-by-step explanation:

Decimal multipliers:

For a increase of a%, the decimal multiplier is given by [tex]\frac{100+a}{100}[/tex]

For a decrease of a%, the decimal multiplier is given by [tex]\frac{100-a}{100}[/tex]

Rami bought a house on 1st January 2015.

For a value of x.

In 2015 the house increased in value by 15%.

This means that x is multiplied by [tex]\frac{100+15}{100} = \frac{115}{100} = 1.15[/tex]

In 2016 the house decreased in value by 8%.

This means that 1.15 times x is multiplied by [tex]\frac{100-8}{100} = \frac{92}{100} = 0.92[/tex]

On 1st January 2017 the value of the house was $687700.

The value of these multiplications is 687700.

What was the value of the house on 1st January 2015?

This is x, so:

[tex]x*1.15*0.92 = 687700[/tex]

[tex]x = \frac{687700}{1.15*0.92}[/tex]

[tex]x = 650000[/tex]

The value of the house on 1st January 2015 was of $650,000.

HELP please!!!!!!!!!!​

Answers

the correct answer is a) 5x√2x

c) 12 x 3 + 9 + (15 - 2) × 3 =​

Answers

Answer:

Step-by-step explanation:

USE BOMDAS

do multiplication and brackets first

36+9+13X3

=45+39

=84

9.3% 1034 What is in scientific notation? 3.1 x 10"​

Answers

Answer:

Please be more specific?

Step-by-step explanation:

I don't know what you are asking and the way you format the question is quite confusing.

What mistake did she make?

Answers

Step-by-step explanation:

According to the pythagrean equation, it should be

[tex]AC^2 = AB^2 + BC^2\\[/tex]

8² = 6² + BC²

64 = 36 + BC²

BC² = 28

BC = ✓28 = 5.29

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height

Answers

Answer:

303.95 m^3

Step-by-step explanation:

Volume = πr2h

r= 4.4

h = 5

= 3.14 × 4.4^2 × 5

= 3.14 × 19.36 × 5

= 303.95

Hence the volume is 303.95 m^3

Question :-

The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.

Answer :-

The volume of the composite solid is 303.952 m³.

[tex] \rule{180pt}{4pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]

Solution :-

As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.

To calculate the volume of a cylinder, we will apply the formula below :-

[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]

Substitute the given values into the above formula and solve for Volume :-

[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]

[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]

[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]

Therefore :-

The volume of the composite solid is 303.952 m³.

[tex]\\[/tex]

Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979

Have a great day! <33

2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?​

Answers

Answer:

50.15

Step-by-step explanation:

250.75-50=200.75

200.75/5=50.15

Are 2(x - 3) + 1 and 2x + 6 equivalent expressions​

Answers

Answer:

No.

Step-by-step explanation:

2(x-3) + 1  = 2x - 6 + 1 = 2x - 5

2x + 6   ≠   2x -5, so no, they aren't equivalent.

The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.

What is Equivalent Expression?

Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).

We have two expressions to compare 2(x- 3) + 1 and 2x +6 .

Now, simplifying the first expression as

= 2(x -3) + 1

= 2x - 6 +1

= 2x - 5

and, the second expression is 2x + 6.

Thus, both of expression are not Equivalent.

Learn more about Equivalent Expression here:

https://brainly.com/question/28170201

#SPJ7

Answer 1 and 2 please.

Answers

Answer:

Give me the questions and I'll edit my answer

Step-by-step explanation:

Answer:

what the question then I'll edit answer ;-;

Step-by-step explanation:

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