Sin³xcosx+sinxcos³x=sinxcosx

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]


Related Questions

The functions f and g are defined as follows. ​

Answers

Answer:

f(4) = -14

g(-2) = 22

Step-by-step explanation:

f(x) = -4x+2

Let x = 4

f(4) = -4*4 +2

    = -16+2

   = -14

g(x) = -3x^3 -2

Let x = -2

g(-2)= -3(-2)^3-2

         = -3(-8)-2

        = 24-2

     =22

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

Here,

f(x)=-4x+2

we have to find the value of f(4)

[tex]\sf{f(4)=-4(4)+2=-16+2=-14 }[/tex]

g(x)=[tex]{-3x^3-2 }[/tex]

we have to find the value of g(-2)

[tex]\sf{g(-2)=-3(-2)^3-2 }[/tex] [tex]\sf{ g(-2)=-3(-8)-2 }[/tex] [tex]\sf{g(-2)=24-2=22 }[/tex]

More information:-

[tex]\begin{gathered} \: \: \: \footnotesize{\boxed{\begin{array}{c|c} \\\\{\bf {f(4)}} & {\bf {-14}} \\ \\\\ \text{g(-2)} & \sf{22} \end {array}}}\end{gathered}[/tex]

For problems 1 - 4, write a two-column proof.

Answers

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

the coefficient of x in -7xy is a. -7 b.xy c.7y d. -7xy​

Answers

Answer:

c. -7y

hope it is helpful

PLZ CAN SOMEONE ANSWER THIS !!

Solve the following system of equations

5x + 2y = -16
3x + 7y = 2

**please show work if you can**

thank you in advance :)

Answers

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48   <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29      -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

   -14     -14

----------------------

3x = -12

3        3

x = -4

Therefore our final answer is (-4,2)

In her employee benefits meeting, Yin has been taking notes as her human resources manager presents the 529 savings plan offered by her employer.

Select the text in Yin’s summary of 529 plans that is not accurate.

States offer 529 plans to help save for college expenses. They invest money in mutual funds, and I won’t have to pay federal taxes on the earnings from the investment. A prepaid 529 plan will allow me to pay tuition in advance at current tuition rates. This is huge! Especially, since tuition rates continue to increase every year. 529 plans have restrictions, but there’s no penalty if withdrawals are made for non-education-related expenses. I can shop around for 529 plans, but my company does sponsor a plan if, or when, I decide to choose one.

Answers

Answer:

there is no penalty if withdrawals are made for non-educational related expenses.

Step-by-step explanation: This part of Yin's summary is not accurate.

help pls pretty pls?

Answers

Answer:

6(9+7)

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

T is directly proportional to x2. If T=36 and x=3 find the value of t when x = 5

Answers

Answer:

[tex]{ \bf{T \: \alpha \: {x}^{2} }} \\ { \tt{T = k {x}^{2} }} \\ { \tt{36 = (k \times {3}^{2}) }} \\ { \tt{k = 4}} \\ \\ { \tt{T = 4 {x}^{2} }} \\ { \tt{T = (4 \times {5}^{2}) }} \\ { \bf{T = 100}}[/tex]

6. What is the area of APQRbelow?
a) 15.8 m
b) 31.2m
c) 66.4m
d) 16.6m

Answers

Answer:

its letter c

Step-by-step explanation:

I hope this help

14. The following solution contains errors. Identify the errors and explain why they are incorrect.
Explain what should have been done to answer the question properly.

Answers

It’s the restrictions if 2*5 is the answer you would have to simplify.

Jamar has 90 cents in his pocket. One coin is a quarter, and the others are
nickels. How many nickels does he have?
A. 23
B. 65
C. 13
D. 15

Answers

Answer:

C. 13

Step-by-step explanation:

Quarters are worth 25 cents each

Nickels are worth 5 cents each

Let n be the number of nickels that Jamar as in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents) and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore there are 13 nickels in his pocket.

Let me know if I did anything incorrectly.

The number of nickels he has is 13. The correct option is C.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that quarters are worth 25 cents each and nickels are worth 5 cents each.

Let n be the number of nickels that Jamar has in his pocket.

We already know that he only has 1 quarter in his pocket which is worth 25 cents, so we can form this equation:

5n + 25 = 90

5 meaning that each nickel is worth 5 cents, 25 meaning that he has only 1 quarter in his pocket (25 cents), and 90 meaning that he has a total of 25 cents in his pocket.

We have to isolate the n so we can subtract 25 from both sides to get:

5n = 65

After that we can get n by dividing 5 from both sides:

n = 13

Therefore, the number of nickels he has is 13. The correct option is C.

To know more about expression follow

brainly.com/question/723406

#SPJ2

may i have some help with 9? thanks :)

Answers

#9. C

A negative sign on the outside of the function indicates a reflection in the y-axis.

A negative sign on the inside of the function (attached to the x) indicates a reflection in the x-axis.

Hope this helps!

Harley graphs a polygon that is located entirely inside quadrant I. He rotates the figure clockwise 90degree about the origin and then reflects the rotated figure over the x-axis. He translates the resulting figure 3 units to the left and 3 units up. Which best describes the location of the final image?
quadrant I
quadrant II
above the x-axis
left of the y-axis

Answers

Answer:

D

Step-by-step explanation:

Got it from the person above me

help me find the value of x and explain if you can :) thank you!

Answers

Answer:

Hello,

Step-by-step explanation:

The two angles are external alternate angles and have the same measure:

2x-3=x+4

2x-x=4+3

x=7

can someone help me understand this.​

Answers

Answer:

easy-peasy

Step-by-step explanation:

Perimeter:

P=2(a+b)

P=2(50+70)

P=2(120

P=240

Area:

A=50*70

A=3,500

I really hope it helped:)

Answer:

Step-by-step explanation:

Perimeter is the measure around the outside of the field while area is a measure of what's inside the field. The field has 2 long straight lengths of 120 m each, so now we just need to find the circumference of the whole circle that is made by sticking each of the 2 rounded ends together. The circumference of the whole circle (both rounded ends stuck together) is

C = πd and

C = (3.1415)(50) so

C = 157.075

Now we add in the 2 straight edges of the field to get the perimeter:

P = 120 + 120 + 157.075 and

P = 397.075 m

The area requires that we find the composite area: that is, the area made up by the rectangle measuring 120 x 50, and the area of the circle that is made up of the 2 rounded ends.

The area of the rectangle is length times width: A = 120(50) so A = 6000

The area of the circle is [tex]A=\pi r^2[/tex] so [tex]A=(3.1415)(25)^2[/tex] and the area of the circle is 1963.495.

Add these 2 areas together to get the area of the whole field:

6000 + 1963.495 = 7963.495 meters squared

Find x Round your answer to the nearest integer.

A. 7
B. 8
C. 6
D. 5

Answers

Answer:

B

Explanations

in this case the hypotenuse is 10,x is the adjacent side of the angle 37

therefore you have to use cos

cos37=x/10

x=7.9

=8

I hope this helps

peter paid $45 for 3 pizzas; victor paid 135 for 8 pizzas and george paid 32 for 2 pizzas. whose pizza cost more

Answers

Answer:

The answer is victor

peter paid : 15 for 1 pizza

victor paid : 16.875

George paid : 16

Hope it helps

Answer:

Victors pizza

Step-by-step explanation:

Peter paid 45 for 3 pizzas if we divide that it gives us 15 for each pizza

George paid 32 for 2 pizzas which if we divide it 16 for each pizza

Finally for Victor we just divide 135 by 8 and that gives us 16.875 for each pizza.

If we compare those values the highest is for sure Victors at 16.875 or 16.88 per pizza.

Hope this helps

:)

The price of a cup of coffee has risen to $2.40 today. Yesterday's price was $2.15. Find the percentage increase. Round your answer to the nearest tenth of a percent.

Thank uuu :))))

Answers

Answer:

11.6%

Step-by-step explanation:

(new - old)/(old) = 25/215 = .116 = 11.6%

Find EH , given that line HF is the perpendicular bisector of EG

Answers

Answer:

EH = 5

Step-by-step explanation:

HF is the perpendicular bisector of EG , then

EH = HG = 5

Help on number 10 pls

Answers

9514 1404 393

Answer:

  (D) 9/5

Step-by-step explanation:

One way to work this problem is to find % per cup for cereal and cups per % for milk, then multiply the product of those by 2.

The way we'll use here is to find the ratio of cups of milk to cups of cereal for the same % RDA.

We're given an amount of milk that has 25% of the RDA, but we want to find an amount that has 15% RDA. That amount of milk will be ...

  (15%)/(25%)(1 cup milk) = 3/5 cup milk

This tells us that 3/5 cup milk has the same %RDA as 2/3 cup cereal. That ratio is ...

  milk/cereal = (3/5)/(2/3) = (3/5)(3/2) = 9/10 cup of milk per cup of cereal

Then for 2 cups of cereal, we need ...

   (9/10)(2 cups cereal) = 9/5 cups milk . . . . matches choice D

Anybody know? Because I don’t

Answers

Answer:

B

Step-by-step explanation:

(4x^-2)^4

256x^-8

256 * 1/x^8

256/x^8

B is your answer because I just did this long ago well last week so yea B.

5x + 4 < X-5, when X belongs to Z​

Answers

Answer:

Step-by-step explanation:

5x+4<x-5

5x-x<-5-4

4x<-9

x<-9/4

x=(-∞,...,-4,-3]

Answer:

Step-by-step explanation:

5X + 4 < X - 5

5x - x < -5-4

4x<-1

4x/4 > -1/4

x>-1/4

a box has a length of 6x inches the width equals one third the length and the height equals half the length. if the volume equals 972 cubic inches, what does x equal will give 100 points and brainly

Answers

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

a box has a length of 6x inches

l=6x

the width equals one third the length

w=[tex]\sf{\dfrac{1}{3}×6x }[/tex]

w=2x

the height equals half the length.

h=[tex]\sf{\dfrac{1}{2}×6x }[/tex]

h=3x

we know that,

Volume of a rectangle box=l×w×h

According to the question,

if the volume equals 972 cubic inches,

l×w×h=volume

6x × 3x × 2x=972

36x^3=972 cubic unit

x=972/36

x=27

Therefore:-

The value of x is 27.

Given that,

a box has a length of 6x inches

so,

l=6x

But,the width equals one third the length

[tex]w=\dfrac{1}{3}×6x[/tex]

w=2x

again,the height equals half the length.

[tex]h=\dfrac{1}{2}×6x[/tex]

h=3x

we knows:-

Volume of a rectangle box=b×h

From the question,

if the volume equals 972 cubic inches,

l×w×h=volume6x × 3x × 2x=97236x^3=972 cubic unitx=972/36x=27

Final answer

.°.The value of x is 27.

if there are 90 calories in 3/4 cup of yogurt, how many calories are in 3 cups of yogurt? ​

Answers

Answer:

360 calories: 90/(3/4)=120

Step-by-step explanation:

I think sorry if im wrong

180 it is 180 calories

f (x+2)=4x+3, find f(x) and f (2)

Answers

.......19 is the answer need any explanation????

find the volume of the prism

Answers

Answer:

840 cm^3

Step-by-step explanation:

Volume = 8x6 (15-5) + 5 x 12 x 6

= 48 x 10  + 60 x 6

= 480 + 360

= 840

Answered by Gauthmath

if y=40x Squared.. Find y when x=0​

Answers

Answer:

y = 0

Step-by-step explanation:

Substitute x = 0 into the equation

y = 40x² , then

y = 40 × 0² = 40 × 0 = 0

A grocery store recently sold 12 cans of soup, 6 of which were black bean soup. Based on experimental probability, how many of the next 20 cans sold should you expect to be black bean soup?

Answers

Answer:

10

Step-by-step explanation:

P(black bean soup) = cans of black bean / total = 6/12 =1/2

out of the next 20

20 *P(black bean)

20 * 1/2 = 10

The answer your lookin for is 10

Find x and explain how you found it

Answers

Answer:

42 degrees

Step-by-step explanation:

Since m and n are parallel, that is a transversal

So 24=(x-18) because of exterior angle property

so x - 18 = 24

We bring - 18 to the other side so it becomes + 18

x = 24 + 18

x = 42

Pythagorean Theron can someone help me with this

Answers

Answer:

Step-by-step explanation: This means the hypothenuse and the Adjacent are equal  b= x thus the double lines indicates and they are opposite to 6

2a^2=6^2
a^2=18
a= +/- 3 root 2

It would be plus 3 root 2, since you can’t have a negative length. Also, the two dash lines means the lengths are equal, which is why I wrote it as 2a^2 instead of a^2+b^2=c^2(where a and b are equal).

Las dimensiones de un paquete de galletas son 2 cm x 0.75 cm x 25 cm. Cuántos paquetes de galletas caben en una caja cuyas dimensiones son 2 cm de ancho, 75 cm de largo y 2.5 cm de alto?​

Answers

2 x 0.75 x 25 = 37.5 cm
2 x 75 x 2.5 = 375

375/37.5 = 10
10 paquetes
Other Questions
2*cosx*(2x+30) + 3=0 37Select the correct answer.What does the setting reveal about the time period of the text?A. People use technology to communicate.B.People often use formal language.adapted from Dead Soulsby Nikolai GogolFor several minutes Plushkin stood mute, whileChichikov remained so dazed with the appearance of thehost and everything else in the room, that he too, could notbegin a conversation, but stood wondering how best tofind words in which to explain the object of his visit. For awhile he thought of expressing himself to the effect that,having heard so much of his host's benevolence and otherrare qualities of spirit, he had considered it his duty tocome and pay a tribute of respect; but presently even HEcame to the conclusion that this would be overdoing thething, and, after another glance round the room, decidedthat the phrase "benevolence and other rare qualities ofspirit" might to advantage give place to "economy andgenius for method."Accordingly, the speech mentally composed, he saidaloud that, having heard of Plushkin's talents for thriftyand systematic management, he had considered himselfbound to make the acquaintance of his host, and topresent him with his personal compliments.C.Causal conversation is common.D.Personal expression is dangerous.ResetResetNext A network administrator updated an Internet server to evaluate some new features in the current release. A week after the update, the Internet server vendor warns that the latest release may have introduced a new vulnerability and a patch is not available for it yet. Which of the following should the administrator do to mitigate this risk?Options are :A. Enable the host-based firewall on the Internet serverB. Enable HIPS to protect the server until the patch is releasedC. Utilize WAF to restrict malicious activity to the Internet serverD. Downgrade the server and defer the new feature testing Ruth is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square before their dinner reservations at 7:10 P.M. They want to spend 1 hour and 25 minutes at the Empire State Building, 2 hours and 5 minutes in Central Park, and 50 minutes in Times Square. What is the latest time Ruth's family can start their tour in order to make it to dinner on time?Pls help :) A gas station has monthly expenses in dollars of 5000+2.2 X. It sells the gas at $2.25 per gallon. How many gallons do they need to sell to make a profit of $3000 per month How do you determine for yourself whats worth fighting for? what is the slope intercept form of: 2x-y=6? Determine the derivative of f(x) = -5x+3x from first principles first Calculate There is two gerbils in my bathroom (correct the sentences) Find the eigenvalues of the matrix: [-43 0 80][40 -3 80][24 0 45] Mt nh t bn sn xut kinh doanh hng in t c t bn kh bin l 1275; gi tr t bn bt bin chim t l 4,8/6,5 tng s t bn u t. T sut gi tr thng d l 120%. Gi tr thng d s dng cho tiu dng l 750, phn cn li s c dng cho tch ly. Yu cu: a/ Xc nh khi lng t bn bt bin v t bn kh bin sau khi tch ly t bn nu cu to hu c ca t bn sau tch ly l khng i. b/ Khi lng gi tr thng d thay i nh th no so vi trc khi tch ly nu t sut gi tr thng d sau tch ly t bn l 115%. which value of -7(x2-6)+2y when x=2 and y=6 Given the following information, prepare an income statement for the Dental Drilling Company. Selling and administrative expense $90,000 Depreciation expense 75,000 Sales 621,000 Interest expense 46,000 Cost of goods sold 231,000 Taxes 50,000 9)Using appropriate properties , find 7551231275115 4.5 X 6 - 12430 2621O6o-10 Which is a benefit of binomial nomenclature?1.Fewer common names2.Increased understanding and communication3.Reduced plant-related poisoning4.Better understanding of genetics of plants Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D which are partcial productsfor 34 x 28 if 2x+20 and 3x+20 makes a straight angke find value of x 18. If the ratio of males to females in eachof two different mathematics classesis 5 to 4, is the ratio of males tofemales still 5 to 4 if the classes wereconsidered as one large class insteadof two smaller classes?Ra