can anyone help me with this pls

Answer:

[tex]\boxed{\pink{\tt I = \dfrac{1}{3}sin(3x) - 3cos(x) + C}}[/tex]

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

[tex]\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\ dx [/tex]

[tex]\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I = \dfrac{1}{3}sin(3x) - 3cos(x) + C }}}}}[/tex]

Answer:

33% of the people preferred onions

can i get brainliest now lol

Answer:

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Step-by-step explanation:

Given - A flood lamp is installed on the ground 200 feet from a vertical wall. A six-foot-tall man is walking towards the wall at the rate of 30 feet per second.

To find - How fast is the tip of his shadow moving down the wall when he is 50 feet from the wall ?

Proof -

From the given information, the figure becomes

Triangle ABC and Triangle DBE are similar triangle

AC/DE = BC/BE

⇒h/6 = 200/(200-x)

⇒h = 1200/(200 -x)

Now,

Differentiate h with respect to t, we get

[tex]\frac{dh}{dt} = 1200(-\frac{1}{(200-x)^{2} } )(-1)\frac{dx}{dt}[/tex]

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-x)^{2} } )\frac{dx}{dt}[/tex]

Now,

If the rate of the tip is moving down the wall

At x = 50 feet, dx/dt = 30 feet per second

So,

⇒[tex]\frac{dh}{dt} = (\frac{1200}{(200-50)^{2} } )(30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)^{2} } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{1200}{(150)(150) } (30)[/tex]

⇒[tex]\frac{dh}{dt} = \frac{24}{15 }[/tex]

So, we get

The rate at which the tip of his shadow is moving down is [tex]\frac{24}{15} ft/sec[/tex]

Answer:

He was an Anti-federalist

Step-by-step explanation:

Answer:

Anti-federalist

Step-by-step explanation:

The Federalists, led by Secretary of Treasury Alexander Hamilton, wanted a strong central government, while the Anti-Federalists, led by Secretary of State Thomas Jefferson, advocated states' rights instead of centralized power.

Answer:

This is the answer:

330550=

Answer:

The mean should be 75.3.

Step-by-step explanation:

[tex]\frac{77+74+78+72+70+85+71+76+80+70}{10}\\\\\frac{753}{10}\\\\\boxed{75.3}[/tex]

Hope this helps!

Answer:

1/12

Step-by-step explanation:

[tex] \frac{3}{4} - \frac{2}{3} = \frac{9 - 8}{12} = \frac{1}{12} [/tex]

Answer:

(1/4)×4=1/16

Step-by-step explanation:

Blue is 1 out of the 4 colours, it rolls for 4 times

Answer:

49

Step-by-step explanation:

the number would simply be

14÷2=7

7²=49

Answer:

True

Step-by-step explanation:

Equivalent fractions are fractions with different numbers representing the same part of a whole.

Answer:

15 plates

Step-by-step explanation:

450 divided by 30 = 15, meaning 30 x 15 would be 450 mg. This also means that if the weight of some plates was 450 mg, there would be 15 plates.

Answer:

15

Step-by-step explanation:

Your units are a little confused.

The mass (total ) is 450 mg

1 plate weighs 30 mg

1 plate / 30 mg  =  x plates / 450 mg             Cross multiply

1 * 450 = 30x                                                   Divide by 30

450 / 30 = x

x = 15

There are 15 gold plates.

[tex]{\boxed{\mathcal{\red{h\:=\:9.5}}}}[/tex] ✅

[tex]h + \frac{1}{2} = 10 \\ ⇢ h + 0.5 = 10 \\ ⇢ h \: = 10 - 0.5 \\ ⇢ h = 9.5[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

35A) arc AC = 360-(100+110+80)=

360-290 = 70°

35B) L D = ½× 70 = 35°

35C) L AEC = ½(100+70)=½×170= 85°

35D) L P = ½(100-70) = ½×30 = 15°

Answer:

True

Step-by-step explanation:

Right angles (shown on the diagram) are perpindicular by definition.

Answer:

1/16

Explanation:

You have a 1/4 chance both times but in probability you multiply when in a sequence of events. 1/4*1/4= 1/16

Answer:

500

Step-by-step explanation:

During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each

advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How

many people used the Music link?

Advertiser Links

Computers

2396

Music

25%

TVS

3%

Movies

1796

Cell phones

32%

340

450

500

540

Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500

9514 1404 393

Answer:

  900

Step-by-step explanation:

Let x represent the number. The given relationship is ...

  (3/5)x = 2 +(2/3)x

  -2 = 1/15x . . . . . . . . subtract 2+3/5x from both sides

  -30 = x . . . . . . . . . . multiply by 15

Then the square of the number is ...

  x² = (-30)² = 900

Answer:

700

Hope this helps!!

Answer:

700

Step-by-step explanation:

First find the area of one side.

The area of the side of a cube is s^2 where s is the length if one edge.

The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.

A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:

4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units

The answer is 2 2/3 units^2

Answer:

That would be (8,0) my good sir ( ma'am )

Step-by-step explanation:

Have a nice day

Answer:

k = 25

Step-by-step explanation:

Given the following data;

Volume = 325 in³

Length = 13 inches

To find the constant of proportionality, k;

Mathematically, direct proportion is given by the expression;

V = kL

k = V/L

Substituting into the formula, we have;

k = 325/13

k = 25

Answer:

72 in²

Step-by-step explanation:

lateral area: the surface area of a 3D figure, but excluding the area of any bases

the lateral area of this prism is the sum of the three rectangular sides.

calculate the third side of the triangle first because it's also the side of one of the rectangle:

√(5² - 4²) = 3

4 × 6 + 5 × 6 + 3 × 6 = 72

Answer:

C. [tex]D_\frac{1}{7} (P)=P'(\frac{1}{4},-\frac{5}{14} )[/tex]

Step-by-step explanation:

[tex]\frac{7}{4}*\frac{1}{7}=\frac{7}{28} =\frac{1}{4}[/tex]

[tex]-\frac{5}{2} *\frac{1}{7} =-\frac{5}{14}[/tex]

Answer:

0.8k +14

Step-by-step explanation:

See the steps below:)

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

2x = 77

77 divided by 2 is 38.5

x = 38.5

hope this helps :)

Answer:

the number of days when instructor do the work alone is 8 days

Step-by-step explanation:

Given that

The apprentice can do the work in 24 days

And, the apprentice and  instructor together can do it in 6 days

We need to find out the number of days when instructor do the work alone

So,

[tex]= \frac{1}{6} - \frac{1}{24} \\\\= \frac{4 - 1}{24} \\\\= \frac{3}{24} \\\\= \frac{1}{8} \\\\= 8[/tex]

hence, the number of days when instructor do the work alone is 8 days

Answer:

(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1

Substracting both

[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]

Putting in eq(2)

[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]

[tex]\\ \sf\Rrightarrow -4y=16[/tex]

[tex]\\ \sf\Rrightarrow y=-4[/tex]

Hence our solution is

Answer:

There is a 10 percent increase