Hailey participated in a swim -a- thon

Answer:

\( \frac{6 - 8i}{ - 2} = \frac{6}{ - 2} - \frac{8i}{ - 2} (splitting \: denomenator) \\ = - 3 - - 4i \\ = - 3 + 4i \\ thank \: you\)

Answer:

216 cubic meters

Step-by-step explanation:

6m x 6m x 6m = 216 cubic meters

Answer:

yeah he is correct it is 216

Step-by-step explanation:

Answer:

give me brainliest first

Step-by-step explanation:

then i shall answer

Answer:

A.15.21

Step-by-step explanation:

In rounding of numbers when the next number is greater than 5 u round it on next number by adding one

Answer:

45.7 inches

Step-by-step explanation:

The perimeter uses 3 sides of the square, so 3 x 10 = 30. We'll add that later.

Then we need to find the circumference of the half-circle. We know the diameter is 10, because that's the side of a square.

Circumference = pi x diameter

C = 3.14 x 10 = 31.4

But that's for the whole circle. We only have a half.

31.4 /2 = 15.7 is the perimeter for the half circle. Add this to the 3 sides of the square

30 + 15.7 = 45.7

Answer:

(4,3)

Step-by-step explanation:

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = \(\frac{22}{7}\)

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  \(\frac{22}{7}\) × (3.5)²

48 = Ф/360  ×  \(\frac{22}{7}\) ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

\(v = 905 \: {cm}^{3} \)

the radius of the given ball (sphere).

\(r = \sqrt[3]{ \frac{3v}{4\pi} } \)

\(r = \sqrt[3]{ \frac{3 \times 905}{4\pi} } \)

\(r = 6 \: cm\)

therefore, the radius of the ball is 6 cm.

note: refer to the picture I added on how you can change r as the subject of the formula.

\(r = (3 \frac{v}{4\pi} {)}^{ \frac{1}{3} } \)

\(r = (3 \times \frac{905}{4 \times \pi} {)}^{ ^{ \frac{1}{3} } } \)

\(r = 6.00049 \: cm\)

\(r = 6 \: cm\)

Hence, the radius of the beach ball is 6 centimeters.

Note: please refer to the attachment.

The volume of the square pyramid is: B. One-third s^2h units^3.

An example of a square pyramid is given in the image attached below. It has a square base and 4 triangular faces.

A right pyramid that has a square base has a volume that can be calculated using the following volume formula, given as: 1/3(a² × h), where "a" is the length of the edge of the square base, and "h" is the height of the square pyramid.

Given the following parameters for a square pyramid:

The length of the edge of the square base (a) = s units

The height of the square pyramid = h units.

Plug in the values into 1/3(a² × h) to find the expression that represents the volume of the pyramid:

Volume of the square pyramid = 1/3(a² × h) = 1/3(s² × h)

Volume of the square pyramid = 1/3s²h units ³.

The expression that represents the volume of the square pyramid is: B. One-third s^2h units^3.

Learn more about square pyramid on:

https://brainly.com/question/3688277

#SPJ1

Answer:

y = -3, x = 5

Step-by-step explanation:

In the first equation, x = 2 - y, x is on one side. So we can try to isolate the variable x in the second equation by adding 2y + 11 on both sides to get:

x = 2y + 11

So now we have equations x = 2 - y and x = 2y + 11. Therefore 2 - y = 2y + 11.  Now we isolate variable y by adding y on both sides and subtracting 11 on both sides to get -9 = 3y. Divide by 3 on both sides to get y = -3.

Let's substitute that into x = 2 - y. Since y = -3, we now have x = 2 - (-3) = 5.

Answer:

132 square feet

Step-by-step explanation:

a+b/2*h

20+24/2*6=132

The derivative of f in the direction of u = <4, 4, 4> is 48√3.

The derivative of a function represents the rate at which the function changes with respect to its independent variable(s). It measures the slope or steepness of the function at a specific point.

To find the directions in which the function increases and decreases most rapidly at point P0(1, 1, 1), we need to calculate the gradient vector (∇f) at that point and identify its components. The gradient vector will point in the direction of the steepest increase in the function.

Given the function f(x, y, z) = 2ln(xy) + 2ln(yz) + 2ln(xz), we can calculate the partial derivatives with respect to each variable:
∂f/∂x = 2/y + 2/z
∂f/∂y = 2/x + 2/z
∂f/∂z = 2/x + 2/y

Now, we evaluate the partial derivatives at point P₀(1, 1, 1):
∂f/∂x = 2/1 + 2/1 = 4
∂f/∂y = 2/1 + 2/1 = 4
∂f/∂z = 2/1 + 2/1 = 4

So, the gradient vector at P0(1, 1, 1) is (∇f) = <4, 4, 4>. The components of this vector indicate that the function increases most rapidly in all directions at that point.

To find the derivatives of the function in those directions, we can take the dot product of the gradient vector (∇f) with a unit vector in each direction at that point.
u = <4, 4, 4> / √(1² + 1² + 1²) = <4/√3, 4/√3, 4/√3>

To find the derivative of f in the direction of u, we take the dot product:
∇f · u = <4, 4, 4> · <4/√3, 4/√3, 4/√3> = 16/√3 + 16/√3 + 16/√3 = 48√3

So, the derivative of f in the direction of u = <4, 4, 4> is 48√3.

Read more about derivative at:

https://brainly.com/question/23819325

#SPJ4

The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.

Learn more about the linear pair:

https://brainly.com/question/18944511

#SPJ4

Answer:

Answer is D

Step-by-step explanation:

Answer:x<2

Step-by-step explanation:

Answer:

= - 23.

Step-by-step explanation:

7x - 2y + 5 xy + x 2

From the question

x = -1

and

y = 2

7(-1) - 2(2) + 5 (-1)(2) + (-1) 2

= -7 - 4 + 5 (-2) - 2

= -7 - 4 -10 - 2

= - 11 - 12

= - 23.

The selling price that maximizes revenue is $224 per unit.

To find the selling price per unit, we need to maximize the revenue, which is the product of the price per unit and the quantity sold. Let's denote revenue as R.

R = pq = p(-10p + 4,480)

To maximize the revenue, we take the derivative of R with respect to p and set it to zero:

dR/dp = -20p + 4,480

Now, set the derivative to zero and solve for p:

0 = -20p + 4,480
20p = 4,480
p = 4,480 / 20
p = $224

So, the selling price that maximizes revenue is $224 per unit.

Know more about selling price here,

https://brainly.com/question/27796445

#SPJ11

Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

On solving the provided question, we can say that - sum of the elements of \(S = (45 * 72 * 111 / 999) = 360\)

Both integers and non-integers are often represented using the decimal system. The Hindu-Arabic number system has been extended in a non-integer way using this. Decimal notation is the term used to describe the representation of numbers in decimal form. The term "decimal" is used to refer to the base-10 number system, which is perhaps the most widely used one. There are 10 single digits in the decimal numeral system.

Consider S to be the collection of real numbers that may be expressed as repeating decimals.

The repeating decimal has the form 0.abc cap.

a, b, and c are three separate digits.

If

\(x = 0.abcabc\\1000x = abc.abc\\1000x - x = abc\\999x = abc\\x = abc/999\)

a, b, c are distinct digits

Number of combinations 10 × 9 × 8

\(= 720 combinations\)

each value appear i= 720/10

\(= 72\)

Sum digits from\(0 to 9 = 45\)

sum of the elements of \(S = (45 * 72 * 111 / 999) = 360\)

To know more about decimal visit:
https://brainly.com/question/29765582

#SPJ4

A
____
M = 10
5x10 = 50

False, one of the most pieces of information with a var is whether each estimated coefficient for the lags is statistically significant (t-tests)

A statistical test called a t-test is employed to compare the means of two groups. It is frequently employed in hypothesis testing to establish whether a procedure or treatment truly affects the population of interest or whether two groups differ from one another.

To know more about the T-test visit here:

https://brainly.com/question/17438355

#SPJ4

The normal distribution is a mathematical model that is often used to describe a wide range of natural phenomena, such as the height of sunflowers. It is characterized by its bell-shaped curve, which is symmetrical around the mean. In this case, the average height of sunflowers in a field is 64 in. with a standard deviation of 3.5 in.

To find these values, we can use the empirical rule, which states that approximately 68% of the values lie within one standard deviation of the mean, 95% lie within two standard deviations, and 99.7% lie within three standard deviations. Therefore, the values at one, two, and three standard deviations from the mean are:

- One standard deviation below the mean: 64 - 3.5 = 60.5 in
- One standard deviation above the mean: 64 + 3.5 = 67.5 in
- Two standard deviations below the mean: 64 - 2(3.5) = 57 in
- Two standard deviations above the mean: 64 + 2(3.5) = 71 in
- Three standard deviations below the mean: 64 - 3(3.5) = 53.5 in
- Three standard deviations above the mean: 64 + 3(3.5) = 74.5 in

To draw the normal curve, we start by drawing a horizontal axis representing the range of values for the variable, in this case, the height of sunflowers. We then label the mean value, which is 64 in, at the center of the axis. Next, we draw the curve of the distribution, which should be bell-shaped and symmetrical around the mean. The curve should be highest at the mean and taper off on either side.

To label the one, two, and three standard deviations from the mean, we can use the values we calculated above. We draw vertical lines at each of these values, which represent the distance from the mean in terms of standard deviations. We then label each line with the corresponding value, as follows:

- One standard deviation below the mean: 60.5 in
- One standard deviation above the mean: 67.5 in
- Two standard deviations below the mean: 57 in
- Two standard deviations above the mean: 71 in
- Three standard deviations below the mean: 53.5 in
- Three standard deviations above the mean: 74.5 in

Finally, we label the units on the horizontal axis, which in this case is inches. The result should be a clear and accurate visual representation of the distribution of sunflower heights in the field.

To know more about symmetrical visit :

https://brainly.com/question/31184447

#SPJ11

Answer: Personally I would do option "B" 2 1/3 because it sounds right.

Answer:

I believe you already selected the correct answer in the picture

Answer:

Step-by-step explanation:

Unit rate per fluid ounce = $0.15

Step-by-step explanation:

Given that:

Cost of one quart bottle of juice = $4.80

We know that:

One quart = 32 ounces

Unit rate is the rate in which two quantities are compared and one of them is one.

Unit rate =

Unit rate = $0.15 per fluid ounce

Hence,

Unit rate per fluid ounce = $0.15

Answer:

Wyatt bought 32 fluid ounces.

Step-by-step explanation:

If Wyatt bought a 1 quart bottle of juice, (which you would need to convert into fluid ounces) but every 0.1 quarts of juice would be 3.2 fluid ounces. And if 0.5 quarts of juice is 16 ounces we could do 16 + 16 (fluid ounces) and we would get 32 fluid ounces in total.

And that's how you get the answer! :)

Answer:

160% (25)

160/100 (25)

reduce the numbers with greatest common divisor 25

160/4

reduce the fraction with 4

=40

The radius of the truncated cone ,if a sphere with radius 20 is inscribed in it and one of the base has 23 radius is 1.6 units.

Let's denote the radius of the smaller base of the truncated cone as r, and the radius of the larger base as R. Also, let's denote the height of the truncated cone as h.

The sphere with radius 20 is inscribed in the truncated cone, which means it touches the three surfaces of the cone: the smaller base, the larger base, and the lateral surface.

The distance from the center of the sphere to the larger base of the cone =  (radius of the sphere) + (height of the smaller cone that sits on top of the larger cone). This smaller cone is similar to the original cone and has height h/3, radius r, and volume (1/3)πr^2*(h/3).

Similarly, the distance from the center of the sphere to the smaller base of the cone = (radius of the sphere) + (height of the larger cone that sits below the smaller cone). This larger cone is similar to the original cone and has height (2/3)h, radius R, and volume (1/3)πR^2(2h/3).

Since the sphere is inscribed in the truncated cone, the sum of the volumes of the two similar cones equals the volume of the truncated cone. Therefore:

(1/3)πr² * (h/3) + (1/3)πR² * (2h/3) = (1/3)π(R² + r² + Rr) * h

Simplifying, we get:

r² + Rr + R² = (5/4)*20²

r² + Rr + R² = 500

Now, we know that the radius of one of the bases is 23, so let's assume that R = 23. Then, we can solve for r:

r² + 23r + 23² = 500

r² + 23r - 231 = 0

Solving for r using the quadratic formula, we get:

r = (-23 ± √(23² + 41231)) / 2

r ≈ -24.6 or r ≈ 1.6

Since the radius of the base must be positive, we take r ≈ 1.6 as the solution. Therefore, the radius of the other base is approximately 1.6 units.

To learn more about truncated cone : https://brainly.com/question/30266956

#SPJ11

The amount of interest that the customer will pay is given as follows:

$31.88.

The balance of an account after t periods is given as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

Hence the interest accrued is given as follows:

I(t) = Prt.

The parameters for this problem are given as follows:

P = 2530.16, r = 0.00042, t = 30.

Hence the interest is given as follows:

I(30) = 2530.16 x 0.00042 x 30

I(30) = $31.88.

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

Answer: 23 cupcakes

Step-by-step explanation:

Answer:

23 were taken

Step-by-step explanation:

30-7=23

Answer:

y=2x-2

Step-by-step explanation:

use y2-y1/x2-x1 to find slope

4-2/3-2

2/1

2 is the slope

A and B are the only possible answers so far

Now to find y intercept

We know it can’t be +2 because at 2 x is equal to 2 so -2 is the only option

Hopes this helps please mark brainliest