PLEASE HELP ASAP SHOW WORK PLEASE!!!!

Answer:

Here we have the position of an object represented by the equation:

y = 4*sin(3*x) + 4

Where we can assume that y represents the height of the object.

We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5

First let's find the maximum height.

y = 4*sin(3*x) + 4

Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:

sin(x) = 1

when x = 90° = pi/2 = 3.14/2

Replacing that in the equation, we get:

y = 4*1 + 4 = 8

The maximum height of the object is 8.

Now, we know that the maximum of the sin(x) function is when x = pi/2

But in our case, we have the function sin(3*x)

Then this function is maximized when:

3*x = pi/2

x = pi/(2*3) = pi/6 = 3.14/6

And:

0 < 3.14/6 < 5

Then the first maximum occurs at x = 3.14/6 = 0.52

But it can happen again on the interval.

The next maximum of the sin(x) function is when:

x = pi/2 + 2*pi

In our case, we again have sin(3*x), then we need to solve:

3*x = pi/2 + 2*pi

x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62

This is also in the interval 0 < x < 5

The next maximum of sin(x) happens at:

x = pi/2 + 2*pi + 2*pi

In our case, for sin(3*x) we need to have:

3*x = (pi/2 + 2*pi + 2*pi)

x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71

This again is in the interval 0 < x < 5

(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)

Then the maximum height occurs at:

x = 0.52

Then occurs again at:

x = 2.62

And finally occurs again at:

x = 4.71

Answer:

[tex]perimeter = ( {2x}^{2} + 3x + 7) + ( {x}^{2} + 5) \\ = (3 {x}^{2} + 3x + 12) \: units[/tex]

Answer:

[tex]P=6x^2+6x+24[/tex]

Step-by-step explanation:

[tex]P=2w+2l\\\\w=x^2+5\\\\l=2x^2+3x+7\\\\P=2(x^2+5)+2(2x^2+3x+7)[/tex]

Answer:

Length = 12 cm

Step-by-step explanation:

using the Pythagorean theorem:

Length² = 13² - 5² = 169 - 25 = 144

Length = √144 m= 12 cm

Answer:

It's 34 cm

Step-by-step explanation:

Width of a rectangle = 5 cm

Diagonal of a rectangle = 13 cm

By Pythagoras Theorem,

Length of a rectangle = √(13² - 5²)

Or, Length of a rectangle = √(169 - 25)

Or, Length of a rectangle = √144

Or, Length of a rectangle = 12 cm

Perimeter of a rectangle = 2(12+5)

Or, Perimeter of a rectangle = 2×17

Or, Perimeter of a rectangle = 34 cm

Therefore, the perimeter of a rectangle = 34 cm

Answer: 322in 2

Step-by-step explanation:

1. Cut it in half

2. 8*21=168 (first half)

3. 11*14=154 (second piece)

4. Add 168 and 154, equals to 322in 2

Answer:

1km=1000m

so 4.5(1000m)/90m

4500m/90m,we eliminate meter by meter

,4500/90=50

Answer:

50

Step-by-step explanation:

1km = 1000 m

4.5 * 1000 = 4500 m

4500/90 = 50/1 = 50 m

Answer: [tex]13.34\ \text{miles}[/tex]

Step-by-step explanation:

Given

First the person travels 13 mi west and then 3 mi due to south

The distance traveled by crow is represented by line BO

using Pythagoras theorem, we can write

[tex]\Rightarrow AO^2+AB^2=BO^2\\\Rightarrow BO^2=13^2+3^2\\\Rightarrow BO^2=178\\\Rightarrow BO=\sqrt{178}\\\Rightarrow BO=13.34\ \text{miles}[/tex]

Answer:

14 dollars

Step-by-step explanation:

Anjali had 12 dollars after recieving the 5. So in order to find out how much she had before cleaning the gutters, we substract those 5 dollars from the 12. That leaves us with 7 dollars. This is the amount of money she had after spending half at the movies, and before cleaning the gutters. Which mean's it's half of her allowance. 7 x 2 is 14, which is your answer! :)

Answer:

1) (B) 25/18 ft³

2) (C) 1/216 ft³

Step-by-step explanation:

1) 1 2/3 x 5/6 x 1 = 5/3 x 5/6 x 1 = 25/18 ft³

2) 1/6 x 1/6 x 1/6 = 1/216 ft³

Answer:

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Answer: [tex]6.04\ ft[/tex]

Step-by-step explanation:

Given

The fence has a length of 38 ft i.e. it is the circumference of the circular flower

The circumference of the circle is [tex]2\pi r[/tex]

Insert the values

[tex]\Rightarrow 2\pir=38\\\\\Rightarrow 2\times \dfrac{22}{7}\times r=38\\\\\Rightarrow r=\dfrac{38\times 7}{2\times 22}\\\\\Rightarrow r=\dfrac{266}{44}\\\\\Rightarrow r=6.04\ ft[/tex]

The largest radius of the garden is  [tex]6.04\ ft[/tex]

First, order up the numbers into order:

2, 3, 3, 5, 6, 8

Next, cut off the ones on each side to get the median.

2, 3, 3, 5, 6, 8

2, 3, 3, 5, 6, 8

Now with this, add the two middle numbers and divide by 2 to find the avg. of them:

3+5 = 8

8/2 = 4 is the Median

Next, split up the number list into the lower section and the higher section, now knowing the Median:

2, 3, 3 Lower

5, 6, 8 Higher

Then, find the Median of each of these sections.

2, 3, 3 Lower Quartile is 3

5, 6, 8 Higher Quartile is 6

Hope that helps.

answer:

2x + 12 = c

step-by-step explanation:

2x + 12 = c

The capacity of the tank in open glass cuboid is determined as 7.2 Liters.

The capacity of the tank is calculated as follows;

Volume = base area x height

Base area = Length x Width

Base area = [17 cm - 2(0.5cm)] x [16 cm - 2(0.5cm)]

Base area = 16 cm x 15 cm

Base area = 240 cm²

Volume = 240 cm²  x  30 cm

Volume = 7,200 cm³

Volume = 7.2 Liters

Thus, the capacity of the tank in open glass cuboid is determined as 7.2 Liters.

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Answer:

x=29, y= 14

Step-by-step explanation:

y=16-2(move the 2 over to isolate y.) y=14. now input 14 in the bottom equation. x= 2(14)+1, 2×14=28, 28+1=29. x=29, y=14

Answer:

2x^2 + 5x - 8

Step-by-step explanation:

   6x^2 + 3x - 5

- (4x^2 - 2x + 3)

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

2x^2 + 5x - 8

Answer:

The answer is the square root of 53, or about 7.28.

Step-by-step explanation:

To find the distance between two points, you use the formula [tex]\frac{y_{2} -x_{2}}{y_{1} -x_{1} }[/tex]. When we insert the coordinates given, you get the square root of 53, or 7.28.

Answer:

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

Step-by-step explanation:

Here is the complete question :

Rachel works for a clothing store. She is $150 paid every week plus a 10% commission on any clothes that she sells. Which of the following is true in regards to Rachel's weekly paycheck? Chose three correct answers.

1. $100 in clothing sales gives Rachel a $250 paycheck

2. $1,100 in clothing sales gives Rachel a $260 paycheck

3 $.2,200 in clothing sales gives Rachel a $370 paycheck

4. $ 4,200 in clothing sales gives Rachel a $420 paycheck

5. $10,800 in clothing sales gives Rachel a 1,230 paycheck

6. $ 16,000 in clothing sales gives Rachel a 1,450 paycheck

The equation representing Rachel's paycheck = amount she earns every month + commission

If she makes  $100 in clothing sales, her paycheck = $150 + (0.1 x 100) = $160

If she makes  $1100 in clothing sales, her paycheck = $150 + (0.1 x 1100) = $260

If she makes  $2200 in clothing sales, her paycheck = $150 + (0.1 x 2200) = $370

If she makes  $4200 in clothing sales, her paycheck = $150 + (0.1 x 4200) = $570

If she makes  $10800 in clothing sales, her paycheck = $150 + (0.1 x 10800) = $1230

If she makes  $16000 in clothing sales, her paycheck = $150 + (0.1 x 16000) = $1750

thus the correct options are 2,3,5

Answer:

Step-by-step explanation:

Tell your teacher thet you need more helpp and pay attention to math

Answer:

1,600

Step-by-step explanation:

Divide 240 by 3. This is 80, or 5% of the total.

Multiply 80 by 20, to get 1,600, 100% of the total

Answer:

x + 2y = -15

Step-by-step explanation:

simplify -3x - 6y = 12 by dividing a -3 from each term to get:

x + 2y = -4

now put into slope-intercept form to get:

2y = -x - 4

y = -1x/2 - 2

parallel lines have the same slope so we know our answer must have a slope of -1/2

now we can plug (1,-8) into y=mx + b to get the 'y-intercept', or 'b'

-8 = 1(-1/2) + b

-8 = -1/2 + b

b = -7 1/2 or -15/2

we now know the slope and the y-intercept so our answer is:

y = -x/2 - 15/2

re-write in standard form, which is ax + by = c

multiply each term by  2 to get:

2y = -x - 15

add 'x' to each side to get:

2y + x = -15

x + 2y = -15

Answer:

7.29%

Step-by-step explanation:

Given data

Principal=  $1,000

Final amount= $2,400

TIme= 12 years

The expression for the compound interest is given as

A= P(1+r)^t

Make r subject of fomula

r = ln(A/P) / t

r= ln(2400/1000)/12

r= ln(2.4)/12

r= 0.875/12

r= 0.0729

Hence the rate is 7.29%

Answer:

Skewed Right

Step-by-step explanation:

Took the test

Answer:

C

Step-by-step explanation:

Answer:

add this and (5 × 5 × 5) × (5 × 5 × 5 × 5 × 5

Step-by-step explanation:

Answer:

in standard form, it would be

x^2+5x+7=0

hope this helps!!

Answer: look at the picture

Step-by-step explanation: Hope this help :D

The value of m and t is 4- 3m/2 and 8/3 -2t/3.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

Given:

2t+3m=8

For t:

2t= 8-3m

t= (8-3m)/2

t= 8/2 -3m/2

t= 4- 3m/2

For m:

3m= 8-2t

m= (8-2t)/3

m=  8/3 -2t/3

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The slope of the line is 2.

Option A is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

From the line,

Coordinates are:(2, 4) and (4, 8)

Now,

(2, 4) = (a, b) and (4, 8) = (c, d)

Slope.

= (d - b) / (c - a)

= 8 - 4 / 4 - 2

= 4 / 2

= 2

Thus,

The slope of the line is 2.

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Answer:

180 degrees

Step-by-step explanation:

Answer:

Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

Hence, any two angles can be supplementary, if their sum equal to 180°.

...

Difference between Complementary and Supplementary Angles.

Complementary Angles: Supplementary Angles:

Sum of two angles is 90° Sum of two angles is 180°

Answer:

I hope this helps!

Step-by-step explanation:

ACB