what is the general form to find square roots

Answer:Astrid needs 280 tons of wood

Step-by-step explanation:

Because:

1 ship requires 40 tons of wood=accomodates 300 sailors

We must:

2100, sailors needed to be accomodated

÷

300, sailors that can be accomodated by 1 ship that requires 40 tons of wood

=7 groups of 300 sailors that can be accomodated by 1 ship that requires 40 tons of wood.

So:

I ship that requires 40 tons of wood × the 7, groups = 280 tons of wood.

I hope this helps! Im sorry its too complicated.

Simplier:

2100 ÷ 300= 7

40 × 7= 280

Answer:

280 tons of wood or 10 ships

Step-by-step

khan academy

Answer:

16

Step-by-step explanation:

Hello, do you remember that result?

For any a and b real numbers,

[tex](a+b)^2=a+2\cdot a \cdot b+b^2[/tex]

In this example, we have.

[tex]u^2+8u=u^2+2\cdot 4 \cdot u\\\\\text{ This is the beginning of ... } u^2+8u+4^2=u^2+8u+16\\\\\text{ So, we need to add 16 to make a perfect square}\\\\u^2+8u+\boxed{16}=u^2+2\cdot 4\cdot u +4^2=(u+4)^2[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

100, 101, 102, 103, 104

Step-by-step explanation:

Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.

Answer:

30.0g

Step-by-step explanation:

In order to determine the amount of each chemical to the nearest tenth of gram prior to computing the sum is shown below:

Like

10.357, 57 > 50, rounded to 10.4

12.062, 62 > 50, rounded to 12.1

7.506, 06 < 50, rounded to 7.5

Now

The Sum is

= 10.4g + 12.1g + 7.5g

= 30.0g

Hence, 30.0g medicine required to make in grams

Answer:

a. Please check the explanation for filling of the empty column on the table

b. The mean of the random variable x is 7/11

Step-by-step explanation:

a. Firstly, we are concerned with completing the table.

To do this, we simply need to multiply the values in the column of x by the values in the column of p(x)

Thus, we have the following;

2. 3 * 2/36 = 6/36

3. 4 * 3/36 = 12/36

4. 5 * 4/36 = 20/36

5. 6 * 5/36 = 30/36

6. 7 * 6/36 = 42/36

7. 8 * 5/36 = 40/36

8. 9 * 4/36 = 36/36

9. 10 * 3/36 = 30/36

10. 11 * 2/36 = 22/36

11. 12 * 1/36 = 12/36

b. We want to find the mean of the random variable x.

All what we need to do here is add all the values of x•P(x) together, then divide by 11.

Thus, we have

(2/36 + 6/36 + 12/36 + 20/36 + 30/36 + 42/36 + 40/36 + 36/36 + 30/36 + 22/36 + 12/36)/11

Since the denominator is same for all, we simply add all the numerators together;

(252/36) * 11 = 252/396 = 63/99 = 7/11

Answer:

4/5

Step-by-step explanation:

[tex]800 - 160 = 640 \\ \frac{640}{800} = \frac{4}{5} [/tex]

answer

x = {-5, -⅓}

explanation

[tex]3 {x}^{2} + 16x + 5 = 0[/tex]

[tex]3 {x}^{2} + 15x + x + 5 = 0[/tex]

[tex]3x(x + 5) + 1(x + 5) = 0[/tex]

[tex](x + 5)(3x + 1) = 0[/tex]

[tex]x = - 5 \: or \: - \frac{1}{3} [/tex]

[tex]x = \{ - 5 \: , - \frac{1}{3} \}[/tex]

HOPE IT HELPS...

Answer:

240 mL.

Step-by-step explanation:

The following data were obtained from the question:

Ratio of Flour = 5

Ratio of brown sugar = 3

Ratio of chocolate = 4

Total volume = 720 mL

Next, we shall determine the total ratio. This can be obtained as follow:

Total ratio = ratio of flour + ratio of brown sugar + ratio of chocolate

Total ratio = 5 + 3 + 4

Total ratio = 12

Finally, we shall determine the volume of the chocolate chips in the mixture as shown below:

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Ratio of chocolate = 4

Total ratio = 12

Total volume = 720 mL

Volume of chocolate chips =..?

Volume of chocolate chips = ratio of chocolate /total ratio x total volume

Volume of chocolate chip = 4/12 x 720

Volume of chocolate chip = 240 mL

Therefore, the volume of the chocolate chips in the mixture is 240 mL.

Answer:

1.75 seconds

Step-by-step explanation:

Lets apply the quadratic formula-

- 8 +_ (sqrt of 64 + 19.6)

__________________

-9.8

-8 +_  9.1433

__________________

-9.8

x = 1.74931972 ( since x can only be positive in real life situations like when throwing a ball)

x = 1.75 rounded in seconds

Answer:

Step-by-step explanation:

h(t)= -8±√8^2-4(-4.9)(1)/2(-4.9)

h(t)=-8±√64-19.6/ -9.8

h(t)=-8±√44.4 / -9.8

h(t)=-8±6.6633325/ -9.8

h(t)= 0.14

The height will be 0.14

The time will be 2.02 seconds per meter

Hope that helps.

15552|2

7776|2

3888|2

1944|2

972|2

486|2

243|3

81|3

27|3

9|3

3|3

1

[tex]15552=2^6\cdot 3^5=(2^3\cdot3^2)^2\cdot 3[/tex]

[tex](3+1)\cdot(2+1)=4\cdot 3=12[/tex]

It's 12

Answer:

v = -54

Step-by-step explanation:

27= -v/2

Multiply each side by -2

27 *-2= -v/2 *-2

-54 = v

Answer:

-54

Step-by-step explanation:

[tex]27=\frac{-v}{2}[/tex] .... Equation to start with

[tex]27 x 2= \frac{-v}{2} x2[/tex] ..... Cancelling out the denominator and multiplying on the other side

[tex]54 = -v[/tex] .... Multipling

[tex]-54 =v[/tex] ..... Solving for v, not -v, so bring the negative over to the other side

Hope you understood:)

Answer:

The difference between the legs and the hypotenuse of a right triangle is that the hypotenuse will always be the longest side. Also, it will always be less than the two legs added together.

Step-by-step explanation:

Answer:

The answer to this question can be defined as follows:

In option A, the answer is "- 357.14 miles per hour".  

In option B, the answer is "-0.98".

Step-by-step explanation:

Given:

[tex]\frac{dx}{dt} =- 300 \text{ miles per hour}[/tex]

[tex]\frac{dy}{dt} =- 400 \text{ miles per hour}[/tex]

find:

[tex]\frac{ds}{dt} =?[/tex] when

[tex]x= 150 \\y= 200\\s=x+y\\\\[/tex]

  [tex]= 150+200 \\\\=350[/tex]

[tex]\to s^2=x^2+y^2\\[/tex]

differentiate the above value:

[tex]\to 2s\frac{ds}{dt}= 2x \frac{dx}{dt}+2y \frac{dy}{dt}[/tex]

[tex]\to 2s\frac{ds}{dt}= 2(x \frac{dx}{dt}+y \frac{dy}{dt})\\\\\to \frac{ds}{dt}= \frac{(x \frac{dx}{dt}+y \frac{dy}{dt})}{s}\\\\[/tex]

        [tex]= \frac{(150 \times -300 +200 \times -400 )}{350}\\\\= \frac{-45000+ (-80000) }{350}\\\\= \frac{- 125000 }{350}\\\\= - 357.14 \ \text{miles per hour}[/tex]

In option B:

[tex]\to d=rt\\\\ \to t= \frac{d}{r}[/tex]

[tex]\to \ \ d= 350 \ \ \ \ \ \ r= -357.14\\[/tex]

[tex]\to t= - \frac{350}{357.14}\\\\\to t= - 0.98[/tex]

Answer:

Each team will get 3 eggs

Step-by-step explanation:

First determine the number of eggs

7 * 12 = 84 eggs

Then divide by the number of teams

84/26 =3 with 6 left over

Each team will get 3 eggs

━━━━━━━☆☆━━━━━━━

▹ Answer

Y = 1

▹ Step-by-Step Explanation

[tex]\frac{10}{2} = \frac{5}{y} \\\\10/5 = 2\\2/2 = 1\\\\Y =1[/tex]

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

500/3 π units

Step-by-step explanation

first state the formula wic is 4/3πr^3 then after u multiply 4 times the radius wic is

4×5^3

=500/3π units

Answer:

28 degrees

Step-by-step explanation:

there is a square in the corner which means it is a right angle, 90 degrees.

90-62=28

Answer:

28 deggrees

Step-by-step explanation

Answer:

[tex]\huge\boxed{Step \ 3}[/tex]

Step-by-step explanation:

In Step # 3, We need to divide rather than to subtract. So, the first mistake is done in step 3.

Answer:

[tex]\Large \boxed{\mathrm{Step \ 4}}[/tex]

Step-by-step explanation:

[tex]20 +20 \div 4-2[/tex]

Division should be performed first, not subtraction.

[tex]20+5-2[/tex]

Answer:

200 ft^2

Step-by-step explanation:

The surface area of the pyramid is the sum of the area of the base and the areas of the 4 congruent triangular sides.

SA = LW + 4 * bh/2

SA = 10 ft * 10 ft + 4 * (10 ft)(5 ft)/2

SA = 100 ft^2 + 2(50 ft^2)

SA = 200 ft^2

(P.S. It's impossible to make a pyramid with these dimensions.)

Answer:

[tex]\boxed{\sf 200 \ feet^2}[/tex]

Step-by-step explanation:

The 3D shape is a square-based pyramid.

The surface area of a square-based pyramid is given as:

[tex]\sf SA=2 \times (base \ length) \times (slant \ height) + (base \ length)^2[/tex]

Plug in the values.

[tex]\sf SA=2 \times 10 \times 5 + 10^2[/tex]

[tex]\sf SA=100 + 100[/tex]

[tex]\sf SA=200[/tex]

Answer:

5

Step-by-step explanation:

|x-3|+4

The minimum value that an absolute value can take is zero

0+4

4

The smallest value is 4

The answer must be 4 or greater

The only answer that is possible is 5

Answer:

Y*x -2x=40min

Answer:

180.55 in².

Step-by-step explanation:

Data obtained from the question include the following:

Height (h) = 9 in.

Diameter (d) = 5 in

Pi (π) = 3.14

Area of the label =..?

Next, we shall determine the radius.

Diameter (d) = 5 in

Radius (r) =.. ?

Radius (r) = Diameter (d) /2

r = d/2

r = 5/2

r = 2.5 in.

Next, we shall determine the area of the label that needs to be printed to go around the new container by calculating the surface area of the cylinder.

This is illustrated below:

Height (h) = 9 in.

Pi (π) = 3.14

Radius (r) = 2.5 in.

Surface Area (SA) =.?

SA = 2πrh + 2πr²

SA = (2×3.14×2.5×9) + (2×3.14×2.5²)

SA = 141.3 + 39.25

SA = 180.55 in²

The surface area of the cylinder is 180.55 in².

Therefore, the area of the label that needs to be printed to go around the new container is 180.55 in².

Answer:

Step-by-step explanation:

i dont have the work but the answer is 182.6

Answer:

0.25%

Step-by-step explanation:

Rate of commission

= (commission*100)/cost of land

=( 20000*100)/8000000

= 2000000/8000000

=2/8

= 0.25%

Answer:

1. -y

3. 9a-7

5. 14x-2

7. 7d-6

Step-by-step explanation:

1. 8y-9y=-y

3. 8a-6+a-1

=(8a+a)-(6+1)

=9a-7

5. -x-2+15x

=(-x+15x)-2

=14x-2

7. 8d-4-d-2

=(8d-d)-(4+2)

=7d-6

Answer:

1. -x

3. 9a-7

5. 14x-2

7. 7d-6

Step-by-step explanation:

To do the first one you would just subtract 8 by 9 which is -1 so you would get -x as 1.

To do the third one would would just move the numbers around so you get 8a+a-6-1 and when you simplify you get 9a-7.

To do the fifth one you just have to move the numbers so you get -x+15x-2 and when you simplify you get 14x-2

To do the seventh one you just have to move the numbers so you get 8d-d-4-2 and when you simplify you get 7d-6.

it is [tex]\pi[/tex]

since period of tangent is $\pi$ ,so the period of reciprocal will also be same

The period for the cotangent function is π radians.

The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is 2π/|B| radians. Frequency is described as the wide variety of cycles completed in one 2d. If the duration of a function is denoted via P and f is its frequency, then –f =1/ P.

The tangent function has period π. f(x)=Atan(Bx−C)+D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and vertical asymptotes at 0,±π,±2π, The range of cotangent is (−∞,∞), and the function is decreasing at each point in its range.

Learn more about the Cotangent function here https://brainly.com/question/2263992

#SPJ2

Answer:

A. 48

Step-by-step explanation:

There is a diameter of the circle through point O. The bottom right angle is an inscribed and that intersects a diameter, so its measure is 90 deg.

a + 90 + 42 = 180

a + 132 = 180

a = 48

The measure of angle 'a' is 48°.

We need to find the measure of 'a'.

Angles are formed by drawing lines from the ends of the diameter of a circle to its circumference from a right angle.

There is a diameter of the circle through point O. The bottom right angle is inscribed and that intersects a diameter, so its measure is 90°.

Now, a + 90°+ 42° = 180°

⇒a + 132°= 180°

⇒a = 48°

Therefore, the measure of angle 'a' is 48°.

To learn more about the circle's theorem visit:

https://brainly.com/question/19906313.

#SPJ5

Answer:

1.5 years

Step-by-step explanation:

She will give up making $28,000 per year for 2 years.  This means that she will give up making $56,000 in total.

$28,000 × 2 = $56,000

She also pay $34,000 in total to costs to get her degree.  She invested a total of $90,000.

$56,000 + $34,000 = $90,000

After graduating, she makes $60,000 a year.  It will take her 1.5 years to recover her investment.

90,000/60,000 = 1.5

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

============================================

Explanation:

The perimeter of the square is 36, so each side length is 36/4 = 9 units.

Point B is located at (5,17). We move down 9 units to get to (5,8), which is the location of point A. Then we move 9 units to the right to arrive at (14,8) which is point D's location.

Or we could go from B = (5,17) to C = (14,17) and then to D = (14,8). Each time we move 9 units.