A circular pond is shown below with a radius of 3.56m.
What is the area of the pond's surface?
Give your answer in m? to 1 d.p.

Answer:

B

Step-by-step explanation:

First simplify the first term to get

10y^4

then multiply 10y^4 by 4 square root 6y^3

40y would be all you needed to get answer

Answer:

40y^5√6y (B)

Step-by-step explanation:

Let's multiply 2√25y^8 * 4√6y^3:

8√150y^11 (When you multiply exponents with the same base, you can just add the exponents and keep the same base:

Ex. 4^5 * 4^9 = 4^14)

Let's simplify 8√150y^11

√150 = 5√6

√y^11 = y^5√y

So our final answer would be:

40y^5√6y

Answer:

The item that attaches to the bowstring to improve accuracy by giving a consistent anchor point each time the bowstring is drawn is called a "release aid" or "bow release".

Class A and Class C sell 187.5 altogether

Represent the classes with their initials

So, we have

B = 2A

C = 3/4 * B = 3/4 * 2A

C = 3/2A

The total number of bars they had initially was

A + B + C = Total

A + 2A + 3/2A = Total

Total = 4.5A

The average number of bars the 3 classes had initially was 225,

So

4.5A = 225

A = 75

For Class A and Class C together, we have

Class A and C = A + 3/2A

Class A and C = 75 + 3/2 * 75

Class A and C = 187.5

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Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:

(8.34%, 17.66%).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

For this problem, the estimate and the sample size are given, respectively, by:

\(\pi = 0.13, n = 200\)

Hence the bounds of the interval are:

As a percentage, the interval is:

(8.34%, 17.66%).

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Answer:84

Step-by-step explanation:

-8+92

Lo puedes dar la vuelta

92-8= 84

Answer:

84

Step-by-step explanation:

So -8 + 92 = 92 - 8

   92

-     8

______

   84

So, -8 + 92 = 84

hope this helps:)

so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)

\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)

Answer:

It is not a function because the number 1 repeats twice (If the numbers in the domain repeat then it is not a function)

9514 1404 393

Answer:

  32 feet

Step-by-step explanation:

The width of the doll house is 8/10 of the length of the doll house, so the actual house will have a width that is 8/10 of its length:

  (8/10)(40 ft) = 32 ft

The actual house is 32 feet wide.

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

The answer is below

Step-by-step explanation:

Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.

Since the supplement weighs 16 lb, hence:

x + y + z = 16          (1)

Also supplement contains thirteen times as much mulch as iron. Therefore:

x = 13z

x - 13z = 0     (2)

The supplement also has twice as much potassium as iron, hence:

x = 2y

x - 2y = 0          (3)

solving equations 1, 2 and 3 simultaneously gives:

x = 10.1 lb, y = 5.1 lb, z = 0.8 lb

This means that the soil supplement contains 0.8 lb of mulch

Answer:

Step-by-step explanation:

Givens

<NPM = <OMP

NP = OM

Solution

<NPM = <OMP                         Given

NP = OM                                  Given

MP = MP                                  Reflexive Property

ΔNPM ≡ ΔOMP                       SAS

Answer

SAS Postulate

Answer:

5 Sessions

Step-by-step explanation:

$75+$25. $100+20 | Prices

125. 140. | + Cost of Session

150. 160

175. 180

200. 200

225. 220

Answer:

Step-by-step explanation:

First Selling price is $360, after mark down.

The second's selling price is $403, after both mark downs

Joanne should buy the first, because of the selling price after mark downs.

No they are not like terms.

Step-by-step explanation:

Because with like terms the variables and exponents have to be the same and both of the 5's are being multiplied by different numbers.

The probability that all three machines (A, B, and C) are operational at midday tomorrow is 0.684, or 68.4% when expressed as a percentage.

To find the probability that all three machines are operational at midday tomorrow, we need to multiply the probabilities of each machine being in action.

The probability of machine A being in action is 1 - 0.10 = 0.90 (since it is out of action for 10% of the time).

The probability of machine B being in action is 1 - 0.05 = 0.95 (since it is out of action for 5% of the time).

The probability of machine C being in action is 1 - 0.20 = 0.80 (since it is out of action for 20% of the time).

Since the machines operate independently, we can multiply these probabilities together to get the probability that all three machines are operational:

Probability (All machines operational) = Probability (Machine A in action) * Probability (Machine B in action) * Probability (Machine C in action)

= 0.90 * 0.95 * 0.80

= 0.684

Therefore, the probability that all three machines (A, B, and C) are operational at midday tomorrow is 0.684, or 68.4% when expressed as a percentage.

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Answer:

\(\frac{7\pi }{4}\) radians

Step-by-step explanation:

to convert degrees to radians

radians = degrees × \(\frac{\pi }{180}\) , then

radian measure = 315° × \(\frac{\pi }{180}\) ( cancel 315 and 180 by 45 )

                          = 7 × \(\frac{\pi }{4}\)

                         = \(\frac{7\pi }{4}\)

315 degrees is equal to 5.49779 radians.

To convert degrees to radians, you need to multiply the degree measure by the conversion factor of π/180.

Let's convert 315 degrees to radians:

315 degrees × (π/180)

315×3.14 /180

= 5.49779 radians

Therefore, 315 degrees is equal to 5.49779 radians.

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Answer:

\(4 \sqrt{5} \)

☽------------❀-------------☾

Hi there!

~

\(4\sqrt{5}\)

⇒Using the law of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

⇒ \(\sqrt{80}\)

⇒ \(\sqrt{16} \times 5\)   \(= \sqrt{16}\) × \(\sqrt{5}\) \(= 4\sqrt{5}\)

❀Hope this helped you!❀

☽------------❀-------------☾

x = y = z = 73.33 are three positive numbers whose sum is 220 and whose product is a maximum.

Using Lagrange's multiplier

It is given that x+ y+ z  =220

To maximize product

\(f(x,y,z)=x*y*z\)

And the constraint is

x +y +z=220

\(g(x,y,z)=x+y+z-220\)

And the gradients are:

\(\nabla{f}=(xy,yz,xz)\)

\(\nabla{g}=(1,1,1)\)

Their relation is:

\(f=\lambda\nabla{g}\)

\((xy,yz,zx)=\lambda(1,1,1)\)

we get,

\(xy=yz=zx=\lambda\)

Thus x=y=z

3x=220

x=220/3=73.33

Hence x = y = z = 73.33

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from blank one five

from blank two is right

Answer:

17 m² or 17 square meters

Step-by-step explanation:

A trapezoid has base lengths of 5 meters and 3.5 meters. If the height of the trapezoid is 4 meters, what is the area of the trapezoid?

Area of a trapezoid =1/2(b1 + b2)h

Where

b1 = First base length = 5m

b2 = Second base length = 3.5 m

Height = 4m

= 1/2(5m + 3.5m) × 4m

= 1/2(8.5m) × 4m

= 1/2 × 8.5m × 4m

= 17 m²

Therefore, the area of the trapezoid is 17 m² or 17 square meters

To solve the separable differential equation dy/dx = 8y, we must first separate the variables, resulting in two separate integrals. We will have dy/y = 8 dx. Now, we need to find the integrals:

1) Integral of dy/y:
∫(1/y) dy

2) Integral of 8 dx:
∫8 dx

Next, we solve the integrals:

1) ∫(1/y) dy = ln|y| + C₁
2) ∫8 dx = 8x + C₂

Now, we combine these results to find the general solution:
ln|y| = 8x + C, where C = C₂ - C₁.

To solve for y, we take the exponent of both sides:
y = e^(8x + C) = e^(8x)e^C. We can write e^C as a new constant k, so y = ke^(8x).

Now, we need to find the particular solution satisfying the initial condition y(0) = -2. To do this, plug in the values into the equation:

-2 = k * e^(8 * 0)
-2 = k * e^0
-2 = k * 1
k = -2

So the particular solution satisfying the initial condition is y(x) = -2e^(8x).

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what was the answer

Answer:

y = 1.8x + 219; 309 gal

Step-by-step explanation:

Answer:

y = -x + 15

Step-by-step explanation:

if an item is priced at $9 per item then 6 items are sold.

Thus, the input is 9 while the output is 6.

Thus, we can say; x, y = (9, 6)

4 items are sold for $11 per item. Thus, the coordinate is; (11, 4)

Now,slope is;

m = (y2 - y1)/(x2 - x1)

m = (4 - 6)/(11 - 9)

m = -2/2

m = -1

We know that slope intercept form is;

y = mx + c

Let's try the first point.

Thus;

6 = -1(9) + c

6 + 9 = c

c = 15

Thus, equation of line is;

y = -x + 15

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve for x :

Using quadratic formula ~

\( \boxed{ \frac{ - b \pm \sqrt{b {}^{2 } - 4ac}}{2a} }\)

where,

let's find the roots ~

\(x = - \dfrac{5}{18} + \dfrac{3 \sqrt{95} }{54} \)

and

\(x = - \dfrac{5}{18} - \dfrac{3 \sqrt{95} }{54} \)

There is no real roots, both the roots are imaginary ~

Answer:

n = 9

Step-by-step explanation:

5(n-3) = 30

Expand the brackets. (Multiply n by 5 then multiply -3 by 5.)

5n-15 = 30

Isolate 5n.

5n = 30+15

Evaluate.

5n = 45

Find n.

n = 45 ÷ 5

n = 9

Answer:

n = 9

Step-by-step explanation:

1) divide both sides by 5 to cancel it out

       (n-3=6)

2) add 3 to each side to cancel out the -3

       (n=9)

You could factor the 5 to get 5n-15=30 but dividing by 5 just makes the number easier

Answer:

im not gonna lie cat i have no clue.

Step-by-step explanation:

Answer:

140785

Step-by-step explanation:

Answer:

(6x)+5

Step-by-step explanation:

Product of a number and six is saying there is a number "X" and 6 being multiplied

The part saying five more is saying you are adding five to the rest of the equation

Answer:

324

Step-by-step explanation:

18 + 18 = 36

18 x 18 = 324