8^1/3 divided by 5^-2

The simplified form of the expression (-3-6i)(5-6i) is -51 - 12i

Given the expression in the question?

(-3-6i)(5-6i)

Expand the expression using FOIL method.

Apply distributive property

(-3-6i)(5-6i)

-3(5-6i) -6i(5-6i)

-15 + 18i - 30i + 36i²

Collect and add like terms

-15 + 18i - 30i + 36i²

Write i² as -1

-15 + 18i - 30i + 36( -1 )

-15 + 18i - 30i - 36

-15 - 36 + 18i - 30i

Add -15 and -36

-51 + 18i - 30i

Add 18i and -30i

-51 - 12i

Therefore, the solution to the expression is -51 - 12i.

Learn more about FOIL method here: https://brainly.com/question/2092062

#SPJ1

Answer: Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G to point G′ and from point H to point H′, which statement would best describe the line segments drawn? They are parallel and congruent. Triangle ABC has been translated to create triangle A′B′C′.

Step-by-step explanation:

Hope this helps!

Answer:

150000

Step-by-step explanation:

i use cal

The diagonals of the parallelogram intersect at the center. Then the value of the variable 'x' is 38.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal. Its diagonals intersect in the center.

Given parallelogram A B C D below, DE = 31 If EB = x - 7.

By the definition, then the equation is given as,

EB = DE

x - 7 = 31

Simplify the equation, then we have

x - 7 = 31

x = 31 + 7

x = 38

The value of the variable 'x' is 38.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ1

Answer:

I believe it is (C), the length of the golfers.

The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.

Because of this, we know A and B are already wrong.

Now we're left with C and D.

If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.

Which is why I believe, the length of the shots is the response variable.

ED2021

Goodluck :)

it is (C), the length of the golfers.

A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.

Here, we have,

The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.

Because of this, we know A and B are already wrong.

Now we're left with C and D.

If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.

This  is why, the length of the shots is the response variable.

to learn more on response variable click:

https://brainly.com/question/14662435

#SPJ2

Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

To find out how far Maria skied and for how long, we'll use the given information and apply the distance-rate-time formula. The formula is Distance = Rate × Time.
First, let's convert the given 30 minutes into hours since the rates are in km/hr.
30 minutes = 30/60 = 0.5 hours.
Let x be the distance Maria skied up and down, and let t1 and t2 be the time taken to go up and down, respectively.
For the ski lift(going up):
Distance = Rate × Time
x = 6 × t1
For skiing down:
Distance = Rate × Time
x = 34 × t2
Since the round trip took 0.5 hours, we have:
t1 + t2 = 0.5
Now we have a system of equations:
x = 6 × t1
x = 34 × t2
t1 + t2 = 0.5
From the first equation, we can express t1 as:
t1 = x/6
From the second equation, we can express t2 as:
t2 = x/34
Now substitute these expressions into the third equation:
(x/6) + (x/34) = 0.5
To solve for x, find a common denominator (in this case, 102) and combine the fractions:
(17x + 3x) / 102 = 0.5
20x = 51
x = 51/20
x = 2.55 km
Now, we can find t1 and t2:
t1 = x/6 = 2.55/6 = 0.425 hours
t2 = x/34 = 2.55/34 = 0.075 hours
So, Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

for more questions on distance

https://brainly.com/question/26046491

#SPJ11

Answer:

B

Step-by-step explanation:

3×-2+12=6 and -2×-2+2=6. You could also do it in a calculator it you want to found out if it true. But the Answer will be B

Hope this Help

Angle 1 and 2 are supplementary angles.

This is ur answer....

Supplementary angle.....

Answer:

3.5

Step-by-step explanation:

AO^2-AB^2=r^2

10.6^2-100=12.36

sqr(12.36) = 3.5

The m and b into slope-intercept form results in the equation y = 3x + 70

You need the y-intercept and the rate of change in order to write the equation of a line (slope). You can create your equation by substituting these values into the slope-intercept form of a line (y = mx + b).

You already know b because there are initially 70 gallons of water in the tank on Saturday. You must write two data points using the information provided in the question in order to determine m.

The number of gallons is the dependent variable, and time is the independent variable because the amount of water in the tank is dependent on how long Lena has been filling it. This indicates that the information should be presented in the form (time, gallons).

On Saturday at time = 0, there are 70 gallons, hence the data point is (0, 70). The tank is full (400 gallons) after 1 hour and 50 minutes, which is 60 + 50 = 110 minutes, so another data point is (110, 400). Using the slope formula, determine the rate of change as follows:

(400-70)/(110-0)

= 330/110

=3 gallons per minute. Substituting m and b into slope-intercept form results in the equation y = 3x + 70

Know more about Slope at:

https://brainly.com/question/3493733

#SPJ4

The volume of the solid is given by the definite integral function and the relation is V = 16/15 units³

Given data ,

The base of a solid is the region in the first quadrant bounded by the graph of y = 2x - x² and the x-axis

Now , the area of cross section is A = a²

A = ( 2x - x² )²

And , the volume of the solid is V

where V is the integral of the function of cross section

On simplifying , we get

V = ∫₀²( 2x - x² )² dx

On further simplification , we get

V = ∫₀² ( 4x² - 4x³ + x⁴ )

Now , taking the integral , we get

V = [ 4x³/3 ]₀² - [ x⁴ ] ₀² + ( 1/5 ) [ x⁵ ]₀²

On solving the limits of the definite integral , we get

V = 16/15 units³

Hence , the volume of solid is V = 16/15 units³

To learn more about definite integral click :

https://brainly.com/question/14279102

#SPJ1

Answer: P = 12x + 18

Step-by-step explanation: When you find the perimeter, you do length + length + width +width. Saying 2L + 2W = P is the same thing.

Answer:

Step-by-step explanation:

you just add it

Answer:

What are you asking?

Step-by-step explanation:

∠A=angle, A, equals  ^\circ  ∘ degrees  Round your answer to the nearest hundredth. \

Explanation

Question 23

To get the value of x, let us get y as shown below

Next, we will make use of the fact tha y and (x+85 ) are vertical angles so that

For question 23, x = -5

For question 24

The total angle in a circle is 360 degrees so that

solving for x

For question 24, x =-3

Answer:

We can solve the inequality by adding 4 to both sides:

2b - 4 + 4 ≥ 3 + 4

2b ≥ 7

b ≥ 7/2

The values in the replacement set that are greater than or equal to 7/2 are {3, 4, 5}. Therefore, the solution set is:

{3, 4, 5}

So the answer is B. {3, 4, 5}.

Answer:

6,000 units3

Step-by-step explanation:

got it rt

Answer:

10.5 is the correct answer.

Step-by-step explanation:

Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.

3.5 x 3=10.5

2 x 3=6

3.5/2=10.5/6, so the answer is 10.5.

Answer:

Step-by-step explanation:

Find the value of x, given that the two triangles are similar.

​

Given that the two triangles are similar we can solve with a proportion

6 : 2 = x : 3.5

x = 6 * 3.5 : 2

x = 21 : 2

x = 10.5

\(62\)

1) Simplify 5 × 10 = 50.

\(50 - 2 + 7 \times 2\)

2) Simplify 7 × 2 = 14.

\(50 - 2 + 14\)

3) Simplify 50 - 2 to 48.

\(48 + 14\)

4) Simplify.

\(62\)

Therefor, the answer is 62.

Yes, 2 is a prime number. The number 2 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since 2 has exactly two factors, i.e. 1 and 2, it is a prime number.

Answer: 2 is a prime number

Step-by-step explanation: This is because the only numbers it can be multiplied by is 1 and 2. If a number can only be multiplied by 1 and itself, It will always be prime. 2 is the only even prime number.

the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(1) To find the volume in the first octant bounded by the surfaces \(y^2 = 4 - x\) and y = 2z, we can set up a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the first octant, we know that 0 <= z, 0 <= theta <= pi/2, and 0 <= r.

Next, we need to find the equation for the upper and lower bounds of z in terms of r and theta. We can start with the equation \(y^2 = 4 - x\) and substitute y = 2z to get:

\((2z)^2 = 4 - x\)

\(4z^2 = 4 - x\)

\(x = 4 - 4z^2\)

We can then use this equation along with the equation z = y/2 to get the bounds for z:

\(0 < = z < = (4 - x)^(1/2)/2 = (4 - 4z^2)^(1/2)/2\)

Squaring both sides, we get:

\(0 < = z^2 < = (1 - z^2)/2\)

\(0 < = 2z^2 < = 1 - z^2\)

\(z^2 < = 1/3\)

So the bounds for z are:

\(0 < = z < = (1/3)^(1/2)\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r

0 <= theta <= pi/2

\(0 < = z < = (1/3)^(1/2)\)

and integrand:

r

So the volume in the first octant bounded by y^2=4−x and y=2z is:

V = ∫∫∫ r dz dtheta dr

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 ∫ from 0 to r r dz dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) ∫ from 0 to pi/2 r^2/2 dtheta dr\)

= ∫ from 0 to\((1/3)^(1/2) r^2 pi/4 dr\)

\(= pi/12 (1/3)^(3/2)\)

= pi/36 sqrt(3)

Therefore, the volume in the first octant bounded by\(y^2=4−x\) and y=2z is pi/36 sqrt(3).

(2) To find the volume bounded by z = x^2 + y^2 and z = 4, we can use a triple integral in cylindrical coordinates.

First, we need to determine the bounds for our variables. Since we are working in the region where z is bounded by \(z = x^2 + y^2\) and z = 4, we know that 0 <= z <= 4.

Next, we can rewrite the equation \(z = x^2 + y^2\) in cylindrical coordinates as \(z = r^2.\)

So the bounds for r and theta are:

0 <= r <= 2

0 <= theta <= 2pi

And the bounds for z are:

\(r^2 < = z < = 4\)

Finally, we can set up the triple integral in cylindrical coordinates:

V = ∫∫∫ r dz dtheta dr

with bounds:

0 <= r <= 2

0 <= theta <= 2pi

\(r^2 < = z < = 4\)

and integrand: 1

To know more about cylindrical coordinates, refer here:

https://brainly.com/question/30394340

#SPJ11

Answer:

Equivalent is when two things contain the same total value. For example, you could give two 5 dollar bills instead of one 10 dollar bill and they would be equivalent as they would both total to be 10 dollars.

Step-by-step explanation:

$10 = 2 * x

$10/2 = $5

x = $5

Answer:

61

Step-by-step explanation:

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

To know more about vectors:

https://brainly.com/question/13590043

#SPJ4

Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

An angle is a shape created by two rays or lines that meet at the same terminal. The Latin word "angulus" (which means "corner") is where the term "angle" first appeared. The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. It is not necessary for the angle to be in Euclidean space if it lies in the plane. Angles are referred to as dihedral angles if they are created by the intersection of two planes in a space other than Euclidean. The sign "" is used to denote angles. The Greek letter,,, etc. can be used to represent the angle between the two beams.

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

After solving the figure:

The speed of boat is 5/6 meter per second and height of boat is 50\(\sqrt{3}\) meter.

To know more about speed visit:

https://brainly.com/question/28224010

#SPJ1

The speed of the boat from point C to point B is approximately 10.82 meters per second.

What is speed ?

Speed is a measure of how fast an object is moving. It is the rate at which an object covers distance.

We can use trigonometry to solve for h and the speed of the boat. Let's start with h:

From the right triangle CLB, we have:

tan 30° = h / CB

where CB is the distance between points C and B, which is given as 50 meters. Solving for h, we get:

h = CB * tan 30° = 50 * tan 30° ≈ 28.87 meters

So the height of the lighthouse is approximately 28.87 meters.

Now let's find the speed of the boat. We know that the boat travels from point C to point B in 1 minute, which is equivalent to 60 seconds. Let's define the speed of the boat as v, in meters per second. Then we have:

v = CB / t

where t is the time it takes for the boat to travel from point C to point B. We can find t using the distance formula:

\(CB = \sqrt{(x_B - x_C)^2 + (y_B - y_C)^2\)

where x and y are the coordinates of each point. From the diagram, we can see that:

\(x_C = 0\)

\(y_C = 0\)

\(x_B = BL * cos \theta\)

\(y_B = BL * sin \theta\)

where BL is the distance from point B to the foot of the lighthouse, which is equal to h / tan θ. Therefore:

CB \(= \sqrt{((BL * cos \theta)^2 + (BL * sin \theta)^2)\)

     \(= \sqrt{(BL^2 * (cos^2 \theta + sin^2 \theta))\)

     \(= BL = h / tan \theta\)

Substituting the values we have found, we get:

v = CB / t = (h / tan θ) / 60 ≈ 10.82 meters per second

Therefore, the speed of the boat from point C to point B is approximately 10.82 meters per second.

To learn more about trigonometry visit the link :

https://brainly.com/question/29002217

#SPJ1

Answer:

f=-552 /343 or 5=1 and 209/343

Step-by-step explanation:

Answer:

$5.50

Step-by-step explanation:

22.5/15= 1.5

each necklace costs $1.50

$5.5 x 15(necklaces)=$82.5

82.5-22.5(cost of making all the necklaces)=$60

Answer:

1.5 OR 3/2

Step-by-step explanation:

Slope (m) = ΔY/ΔX= 3/2=1.5

θ = arctan(ΔY/Δx)= 56.30993247402°

ΔX = 3 – 1 = 2

ΔY = 0 – -3 = 3

Distance (d) = √ΔX2 + ΔY2 = √13 = 3.605551275464

Equation of the line:

y = 1.5x – 4.5

or

y=3/2x-9/2

Thus, 3/2

Answer:

Step-by-step explanation:

Use the coordinates of two points on the graph:

Find the slope using slope formula:

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.