What would the numbers of microns be for this question?

Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V (\( \sqrt 2,\: 7)\)

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

\(d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ \)

Hence point V lie inside of the circle.

a) The inequality into slope- intercept form, and then change it into an equation is y = x + 3. b)  y-values are 2, 3, and 4

a. To change the inequality into slope-intercept form, we can first isolate y on one side of the inequality:

y > x - 3

y + 3 > x

Now we can switch the order and write it in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

x > y - 3

y - 3 < x

y < x + 3

y = x + 3

b. To create a table using the x-values indicated, we can substitute each value into the equation y = x + 3 and solve for y:

I x y

1 -1 2

2 0 3

3 1 4

So the table would have the x-values -1, 0, and 1 in the first column, and the corresponding y-values 2, 3, and 4 in the second column.

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Answer:

Step-by-step explanation:

To create a similar polygon from a pre-image, you can use one or more of the following transformations:

Scaling: Multiply the coordinates of each vertex of the pre-image by a scale factor to obtain the corresponding vertices of the similar polygon. This will change the size of the polygon but not its shape.

Translation: Move the pre-image by adding a fixed value to each coordinate of every vertex. This will shift the polygon horizontally and/or vertically.

Rotation: Rotate the pre-image by a certain angle around a fixed point. This will change the orientation of the polygon.

Here are some specific steps you can follow to create a similar polygon from a pre-image using one, two, or three of these transformations:

One transformation:

Scaling: Choose a scale factor and multiply the coordinates of each vertex of the pre-image by this factor.

Two transformations:

Scaling: Choose a scale factor and multiply the coordinates of each vertex of the pre-image by this factor.

Translation: Choose a vector and add this vector to each coordinate of every vertex of the scaled pre-image.

Three transformations:

Scaling: Choose a scale factor and multiply the coordinates of each vertex of the pre-image by this factor.

Rotation: Choose an angle and a fixed point, and rotate the scaled pre-image around this point by the chosen angle.

Translation: Choose a vector and add this vector to each coordinate of every vertex of the rotated pre-image.

Note that the order of the transformations matters. In general, scaling should be done first, followed by rotation, and then translation.

Answer:

........................

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

3 times 3 is 9. 2 times -6 is -12. 9 + -12 is -3.

9 times 3 is 27. 4 times -6 is -24. 27 + -24 is 3.

Answer:

b: 8

Step-by-step explanation:

with dilating by 2, the B' figure would be bigger than B

because 4*2 = 8

Answer:

1:3

Step-by-step explanation:

3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles.  1:3 wouldn't work because it is not the right ratio.

Answer:

80%

Step-by-step explanation:

The cost of installing a typical septic system without any special features can vary depending on various factors, such as the size of the property, soil type, and location. On average, a septic system installation can cost anywhere from $3,000 to $7,000.

The cost of installing a septic system can depend on various factors, such as the size of the property, soil type, location, and regulations in the area. The installation process typically involves excavating the area, installing the septic tank and leach field, and connecting the plumbing to the septic system. The cost of the septic tank itself can range from $500 to $2,000, and the leach field can cost around $2,000 to $4,000. In addition, there may be additional costs associated with obtaining permits and hiring contractors.

Therefore, the cost of installing a typical septic system without any special features can range from $3,000 to $7,000, depending on various factors.

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Answer:

A. 1 bowl and 1 cup

Step-by-step explanation:

Huba and binti would divide the time they spend in the production of these goods equally

If binti made 1 bowl and 4 cups

Huba made 2 bowls and 3 cups

Total goods produced

Cups = 7

Bowl = 3

If you check clearly at the graph, Bintus comparative advantage lies in cup production. Juba's own is in bowl production

If they both spend their brine in the production of this good,

Bintus will make 8 cups

Juba will make 4 bowls

Production will then increase by

8-7= 1 for cups

4-3 = 1 for bowls

a)Using the given information we can set the following equation:

b) The graph of the linear equation above for up to and including 200 minutes is as follows:

Which corresponds to option B.

c) If n=40 then:

Then the total monthly cost is $23.

d) If C=30, solving the first equation on the board for n we get:

Then the number of minutes is 75.

There are 29 students in each fifth-Grade class at Ridgeview Intermediate School.

The students are in each class, we need to divide the total number of students by the number of classes.

Total number of students = Number of girls + Number of boys

Total number of students = 108 girls + 124 boys

Total number of students = 232

Number of classes = 8

To find the number of students in each class, we divide the total number of students by the number of classes:

Number of students in each class = Total number of students / Number of classes

Number of students in each class = 232 / 8

Number of students in each class = 29

Therefore, there are 29 students in each fifth-grade class at Ridgeview Intermediate School.

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$1,200

Step-by-step explanation:

10 × 24 = 240

240 × 5 = 1,200

I think this is right I have no clue though

Answer:

$340

Step-by-step explanation:

10 + 10 + 24 + 24 = 68 feet. Since fencing is $5/foot, multiply the perimeter by the cost.

Since 68 x 5 =  340, the fencing will cost $340.

Answer:

C

Step-by-step explanation:

The expression that shows how many sweatshirts were not adult sizes is  s - 19 .

Given :

the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.

Expression :

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Expression = number of sold sweatshirts - number of adult sizes.

= s - 19.

This gives the number of sweatshirts that are not adult sizes

if s = 25

then not adult sizes sweatshirts = s - 19

= 25 - 19

= 6

Hence the expression is s - 19.

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Answer:

Step-by-step explanation:

the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

To find: Time taken to travel 1875 miles.

Finding:

By unitary method,

Time taken to travel 1250 miles = 3 days

Time taken to travel 1 mile = \(\frac{3}{1250}\) days

Time taken to travel 1875 miles = \(\frac{3}{1250}(1875) = 4.5\) days

Hence, the time taken by Rita to travel 1875 miles is 4.5 days, by unitary method.

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Answer:

3 a 2 − a + 10

Step-by-step explanation:

like and 5 star

Answer:

3a^2-a+10

Step-by-step explanation:

...

Using linear function concepts, the slope of -1 means that when one of the length/width is increased by 1, the other is decreased by 1.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem:

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Answer:C

Step-by-step explanation:

Answer:

A) 252pi

Step-by-step explanation:

The volume of a sphere is \(\frac{4}{3}\pi r^{3}\)

First, let's find the diameter of the large sphere.

If D=12, then R=6

\(\frac{4}{3}\pi 6^{3}=288\pi\)

Then, we need to find the volume of the smaller sphere

\(\frac{4}{3}\pi 3^{3}=36\pi\)

\(288\pi -36\pi =252\pi\)

Hope this helps :)

\(-noorati\)

The measure of angle DHG in triangle ΔABC, with H as the incenter, is 90 degrees.The measure of angle DHG can be found using the properties of an incenter.

Step 1: Draw the triangle ΔABC and locate point H, the incenter.
Step 2: Draw the angle bisectors from each vertex of the triangle to point H, creating three smaller angles:

∠DHA, ∠AHB, and ∠BHC.
Step 3: Since H is the incenter, the angle bisectors meet at right angles, forming a right triangle DHG.
Step 4: In a right triangle, the measure of the right angle is 90 degrees.
Therefore, the measure of angle DHG is 90 degrees.
The measure of angle DHG in triangle ΔABC, with H as the incenter, is 90 degrees.

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Answer:

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

\(area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m\)

Again,

Perimeter of rectangle:

\(2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m\)

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

The volume of the solid is 29.865 cubic units.

We have,

To find the volume of the solid generated by revolving region R around the line y = 6, we can use the method of cylindrical shells.

The volume of the solid can be obtained by integrating the area of each cylindrical shell.

Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line y = 6.

Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line y = 6 to the curve y = 2tan(\(x^5\)).

Since the shell is formed by revolving the strip around y = 6, the radius of the shell is given by r(x) = 6 - 2tan(\(x^5\)).

The height of each cylindrical shell is the difference in x-values between the curve y = 5 - x and the y-axis, which is given by h(x) = x.

The differential volume of each cylindrical shell is given by:

dV = 2π x r(x) x h(x) x dx.

To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is determined by the intersection of the curves y = 2tan(\(x^5\)) and y = 5 - x.

The volume V is given by the integral:

V = ∫[a,b] 2π x (6 - 2tan(\(x^5\))) x dx

Setting the two equations equal to each other, we have:

2tan(\(x^5\)) = 5 -x

Let's use numerical approximation to find the intersection points.

Using a numerical solver, we find that one intersection point is approximately x ≈ 1.051.

Now, we can set up the integral to find the volume of the solid:

V = ∫[a,b] 2π  (6 - 2tan(\(x^5\))) x dx

Since we are revolving around the line y = 6, the limits of integration will be from x = 0 to x = 1.051.

V = ∫[0,1.051] 2π  (6 - 2tan(\(x^5\))) x dx

The integral does not have an elementary antiderivative, so we cannot find the exact value of the integral.

However, we can still approximate the value using numerical methods or software.

Using numerical approximation methods, the volume is approximately V ≈ 29.865 cubic units.

Thus,

The volume of the solid is 29.865 cubic units.

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The best line of fit for the scatterplot is, A. y = 4.08x + 63.13.

An equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

The slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

From, The given graph the pair of coordinate points can be,

(40, 200) and (70, 300).

Slope(m) = (300 - 200)/(70 - 40).

Slope(m) = 3.33.

Now, 300 = 70(3.33) +b.

b = 300 - 233.1.

b = 66.9.

Therefore, y = 3.33x + 66.9.

So, The best line of fit is y = 4.08x + 63.13.

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The probability that the average lifetime of 400 components is less than 5012 hours is approximately 89.15%.

To find the probability that the average lifetime of 400 components is less than 5012 hours, we need to calculate the z-score and find the corresponding probability from the standard normal distribution.

The formula to calculate the z-score is:

z = (x - μ) / (σ / sqrt(n)) ,

where x is the given value (5012 hours), μ is the population mean (5000 hours), σ is the population standard deviation (100 hours), and n is the sample size (400 components).

Substituting the given values into the formula:

z = (5012 - 5000) / (100 / sqrt(400))

z = 12 / (100 / 20)

z = 12 / 5

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 12/5. Looking up the z-score of 12/5 in a standard normal distribution table, we find that the probability is approximately 0.8915.

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The measurement of the third angle is 100°.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Given ,

The measurement of one angle in triangle is 30°.

And other angle in triangle is 50°

We have to find,

The measurement of the third angle.

According to the question,

It is a triangle the sum of three angles is 180 degrees.

Now,

Sum of the all the interior angle in right triangle = 180°

30° + 50° + ∠c = 180°

80° + ∠c  = 180°

∠c = 180° - 180° = 100°

Hence, The required measurement of the third angle is 100°.

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The integral X³dx + Y²dy + Zdz C, where C is the line from the origin to the point (2, 3, 4), can be calculated as X³dx + Y²dy + Zdz C = ∫0→1 (2t³ + 9t² + 4)dt = 11.

Define the Integral:

Finding the integral of X³dx + Y²dy + Zdz C—where C is the line connecting the origin and the points (2, 3, 4) is our goal.

This is a line integral, which is defined as the integral of a function along a path.

Calculate the Integral:

To calculate the integral, we need to parametrize the path C, which is the line from the origin to the point (2, 3, 4).

We can do this by parametrizing the line in terms of its x- and y-coordinates. We can use the parametrization x = 2t and y = 3t, with t going from 0 to 1.

We can then calculate the integral as follows:

X³dx + Y²dy + Zdz C = ∫0→1 (2t³ + 9t² + 4)dt

= [t⁴ + 3t³ + 4t]0→1

= 11

We have found the integral X³dx + Y²dy + Zdz C = 11. This is the integral of a function along the line from the origin to the point (2, 3, 4).

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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No the dog cant catch up with Donovan

30km to meters is 30000

30000 meters divided by 60 to to get how many meters per second

= 500 a dog travels 500 meters per minute

100m divided by 9.87 = 10.1 meters per second

500 divided by 60 = 8.3 meters per second

Donovan can run faster than the dog by 1.8 meters per second