Lionell created a picture to hang on his wall. The
drawing is below. Each circle has a radius of 8cm.
The circles touch each other and the ends of th
canvas. The background of Lionells picture is black. What
is the area of the black portion

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

Answer:

Angles: adjacent

x = 18

Step-by-step explanation:

Adjacent Angles: angles that border each other to the left/right

Vertical Angles: opposite set of angles that are congruent

Given these definitions, these angles are not only adjacent, but also right angles. Right angles add to 90°.

Step 1: Combine like terms.

Step 2: Divide both sides by 5.

Therefore, the answer is adjacent and x = 18.

Answer:

what comprise horn of africa

We have proved that f o g is uniformly continuous on R, as desired.

F(g(x)) or (f g)(x) denotes the combination of the functions f(x) and g(x), where g(x) acts first. It brings together two or more functions to produce a new function.

To prove that the composite function f o g is uniformly continuous on R, we need to show that for any ε > 0, there exists a δ > 0 such that for any x, y ∈ R,

| x - y | < δ implies | (f o g)(x) - (f o g)(y) | < ε

We can start by using the uniform continuity of g to choose a δ1 > 0 such that for any x, y ∈ R,

| x - y | < δ1 implies | g(x) - g(y) | < ε

Now, we can use the uniform continuity of f with ε replaced by δ₁ to choose a δ₂ > 0 such that for any u, v ∈ R,

| u - v | < δ₂ implies | f(u) - f(v) | < δ₁

Finally, we can choose δ = δ₂ to show that for any x, y ∈ R,

| x - y | < δ implies | (f o g)(x) - (f o g)(y) | < ε

To see why this is true, let's assume that | x - y | < δ. Then, by the definition of the composite function,

(f o g)(x) - (f o g)(y) = f(g(x)) - f(g(y))

Now, since | g(x) - g(y) | < δ₁, we know that | f(g(x)) - f(g(y)) | < ε, by the choice of δ₁. And since | x - y | < δ₂ implies | g(x) - g(y) | < δ₁, we have shown that

| x - y | < δ₂ implies | (f o g)(x) - (f o g)(y) | < ε

Therefore, we have proved that f o g is uniformly continuous on R, as desired.

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By using similar triangle property, the missing side length, S = 10cm.

Given two similar triangles ABC and XYZ, where

AB = 8,

XY = 4,

YZ = 5.

We need to find the length of S, i.e. BC.

The corresponding sides of the triangles are proportional as they are similar. Therefore, following proportion will come:

AB/XY = BC/YZ

On substituting the values in above ratio, we get:

8/4 = BC/5

On simplifying the above ratio, we get:

BC = (8/4) * 5 = 10

Thus, the length of S is 10 units. We can also say that: We obtain the larger triangle ABC, if we scale up the smaller triangle XYZ by a factor of 2, , which has a corresponding side BC of length 10.

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Answer:

the answer is still 0.625

Step-by-step explanation:

the tenths digit is 6, the hundreds digit is 2 and the thousabds digit it 5. SInce it doesn't pass the thousands digit it's fine how it is.

The round off of 0.625 to the nearest thousandth results in 0.626.

To round 0.625 to the nearest thousandth, focus at the digit in the thousandth's place, which is the third decimal place.

In this case, the digit in the thousandth's place is 5.

Since 5 is exactly halfway between 0 and 10, we round up the previous digit, which is 2.

Therefore, rounding 0.625 to the nearest thousandth results in 0.626.

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=> B) The amount of popcorn that fits in a particular container.

=> The amount of space that a substance or object occupies, or that is enclosed within a container is known as volume. The first & third option measures the surface area while the fourth option measures the distance covered. Thus, the second option (b) is the correct answer.

\( \infty \infty \infty \)

Answer:

B. The amount of popcorn that fits in a particular container.

Step-by-step explanation:

Volume is the amount of space that is inside a three dimensional shape. In other words we need a box/container that has empty space in it. That space is the volume. Knowing this we can start eliminating answer. First we can eliminate answer D. This answer makes no sense when comparing it to what is needed for volume. Answer D has to do with distance. Then we can eliminate answer C. This answer does can not work because it says "square inches". This means that it is either the area of a two dimensional shape or it could be the outside of a three dimensional shape. Answer A. is like answer C. It is the outside of a shape and not the inside. That leaves us with answer B. Answer B says "that fits in a particular container". From this we can see that they are fitting something inside a container. These are the key words for volume.

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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Answer & Step-by-step explanation:

PEMDAS:

Parentheses

Exponents

Multiplication and Division left to right

Addition and Subtraction left to right

We have two forms of grouping in the expression. Do the inner-most one first, still following PEMDAS within the grouping symbol:

Simplify division:

\(6/4=1.5\\1.5-1=0.5\\\)

Re-insert:

\(40/(19-1+0.5)\)

Simplify subtraction and addition within parentheses:

\(19-1+0.5\\18+0.5\\18.5\)

Re-insert:

\(40/18.5\)

Simplify division:

\(40/18.5=2.162162162162162162.....\)

:Done

Answer:

write these time in words 3:45

Answer:

An adult Welsh Corgi is always going to be shorter than an adult Basset Hound.

Step-by-step explanation:

That's what I think because the Basset Hound is 13.8 in. in height right? So he's two inches taller if we round up both numbers. Basset hound would be 14 and welsh corgi would be 11....................okay im not sure i give up but it's either

"An adult Welsh Corgi is always going to be shorter than an adult Basset Hound."

"Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

whichever just not the other ones good luck!

Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

Mean is actually the average of all the observations.

Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

of a data set is the average distance between each data value and the mean.

According to the problem,

Here we can say, the average height of Basset hounds is 13.8 and is highly dispersed in comparison to Welsh Corgis

So, we can say Basset hounds tend to be a little over two inches taller than Welsh Corgis, but have a higher variability in height.

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Answer:

7/8

Step-by-step explanation:

1/4= 2/8

2/8 + 5/8 = 7/8

Answer:

Θ = 50°

Step-by-step explanation:

Using the cofunction identity

tan(90 - x)° = cotx°

Given

cot40°, then

tan Θ = tan(90 - 40)° = tan50°

Thus Θ = 50°

I will do that soon okay I will

Answer:

Step-by-step explanation:

Answers:

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

Explanation:

In this exercise we have to use the knowledge of angles, in this way we can say that:

A) Right angles

B) Substitution

C) Congruence

So punctuating some necessary definitions we have that:

A) This alternative is a right angle, that is, an angle that has 90 degrees.

B) The substitution property allows us to replace one thing for another, as long as the two things are equal.

C) IIn this alternative, we are dealing with congruent angles, that is, angles that have the same measure, normally less than 90 degrees.

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Answer:

They made 36 three-point field goals

Step-by-step explanation:

For free throws , we have one point each.

So here, the total points they made from free throws is 22 * 1 = 22 points

So the number of points made from field goals would be 184-22 = 162 points

So the issue we have now is knowing the number of 3-point field goals that was made.

How can we get this?

Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63

Now, let the number of 2 points throws be x and the number of 3 points throws be y

From our earlier analysis;

x + y = 63 ••••••••• (i)

Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x

Adding both gives a total of 162

Thus;

2x + 3y = 162 •••••••• (ii)

So we have two equations to solve simultaneously.

From equation 1, we can say that;

x = 63-y

Let’s substitute this into equation 2

2(63-y) + 3y = 162

126 -2y + 3y = 162

126+y = 162

y = 162-126

y = 36

This means that they made 36 three-point field goals

Answer:

They made 36 three-point field goals during the game

Step-by-step explanation:

Answer:

2x(x-4)

Step-by-step explanation:

2\(x^{2}\)-8x= 2(\(x^{2}\)-4x)= 2x(x-4)

Answer:

\(\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)\)

Step-by-step explanation:

Given the expression

\(2x^2-8x\)

\(\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\)

\(x^2=xx\)

so the expression becomes

\(2x^2-8x=2xx-8x\)

               \(=2xx-2\cdot \:4x\)

               \(=2x\left(x-4\right)\)              ∵  \(\mathrm{Factor\:out\:common\:term\:}2x\)

Therefore,

\(\mathrm{Factor}\:2x^2-8x:\:2x\left(x-4\right)\)    

Graph the two populations for the first ten years on the same graph.

-> See attached

-> Red = Milmo City

-> Blue = Ridge City

a. How long does Milmo City have a smaller population compared to Ridge City?

     t < 4 years

(Less than four years, you could also say for 4 years)

b. According to the linear equations, does Milmo City ever have a smaller population after the populations become equal? Explain your reasoning why.

     No. These are linear equations so they will keep going in a straight line forever.

c. When is the population of Ridge City double the population of Milmo City?

     30 years. We can set up an equation to solve easily without having to guess from our grpah:

2(\(\frac{2}{3}\)t + 6) =  \(\frac{5}{3}\)t + 2

\(\frac{4}{3}\)t + 12 = \(\frac{5}{3}\)t + 2 -> 3(\(\frac{4}{3}\)t + 12) = (\(\frac{5}{3}\)t + 2)3

4t + 36 = 5t + 6

4t + 30 = 5t

30 = t -> t = 30

d. Explain why Milmo City has a smaller population at the start but will have a larger population after nine years compared to Ridge City.

     The slope of Milmo's population is steeper than Ridge City's population, so Milmo's population climbs much faster than Ridge's, which is why it eventually is larger.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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The methods used to analyze data produced by scientific studies are called statistics. Option (c) is correct.

What are experiments and how do we analyze them using statistics?

Experiments are procedures or methods carried out under controlled conditions to discover a new fact or to test or  establish a hypothesis  that already exists.

From experiments we generate certain scientific data but to analyze data we need statistics.

Statistics is a process of collecting and analyzing and interpreting data.

Therefore the methods used to analyze data produced by scientific studies will be done by statistics.

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Answer:

Step-by-step explanation: Hello,

the answer

Answer:

a

Step-by-step explanation:

1. 1 1/99 miles per hour

Answer: 60 m squared dimensions

6 m width

10 m length

Step-by-step explanation:

subtract 8 from the perimeter to account for 2 sides having the extra length then divide the answer by 4 to get the length if all the sides were equal

32-8=24

24/4=6

then add the 4 m back to the answer to get the length

The particular solution to the given differential equation with the initial condition y(0) = 12 is y = \(12e^{sin(2x)}\).

To solve the given differential equation, we can use the method of separation of variables. First, rewrite the equation in the form \(\frac{dy}{dx}\)  = 2y cos(2x). Then, separate the variables by dividing both sides by y and multiplying by dx:

\(\frac{1}{y} dy\) = 2 cos(2x) dx

Integrate both sides with respect to their respective variables:

∫\((\frac{1}{y}) dy\)   = ∫2 cos(2x) dx

The integral of \((\frac{1}{y} )dy\) gives the natural logarithm of y, and the integral of cos(2x) dx gives sin(2x):

ln|y| = ∫ 2 cos(2x) dx = sin(2x) + C

where C is the constant of integration.

To find the particular solution, we can apply the initial condition y(0) = 12. Substituting x = 0 and y = 12 into the equation, we get:

ln|12| = sin(2(0)) + C

ln|12| = 0 + C

C = ln|12|

Therefore, the particular solution to the differential equation is:

ln|y| = sin(2x) + ln|12|

To eliminate the logarithm, we can exponentiate both sides:

|y| = \(e^{(sin(2x)+ ln12)}\)

Since y is positive, we can drop the absolute value:

y = e^{(sin(2x)+ ln12)}

Simplifying further, we have:

y = \(12e^{sin(2x)}\)

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Answer:

£150

Step-by-step explanation:

£200 is 100%. If you decrease it by 25%, you end up with 75% of £200.

75% of £200 =

= 0.75 × £200

= £150

Answer:

£150

Step-by-step explanation:

25% means 25 per hundred, and decreasing 200 by 25% means that we should subtract 25% of 200, from 200:

25% · 200

= \(\frac{25}{100}\) · 200

= \(\frac{1}{4}\) · 200

= 50

⇒ 200 - 25% · 200

= 200 - 50

= 150

Alternatively, decreasing by 25% is the same as keeping 75%

(as 100% - 25% = 75%)

75% · 200

= \(\frac{3}{4}\) · 200

= 150

Answer:

Start with equation,

         y''(x) = f(x) = 6y/(10x-x²)               about point x₀ = 5

Then,

       y(x) = a₀ + a₁(x-5) + a₂(x-5)²+ a₃(x-5)³ + a₄(x-5)⁴...….

by inspection,

           y(5) = a₀      and       y'(5) = a₁

then,

y''(5) = 6a₀/(50-25) = 6a₀/25              

y'''(x) = 6y'/(10x-x2) - 6y(10-2x)/(10x-x2)2

then,                      

                              y'''(5) = 6a₁/25 - 0 = 6a₁/25                

y''''(x) = 6y''/(10x-x2) -12y'(10-2x)/(10x-x2)² + 12y/(10x-x2)² + 12y(10-2x)2/(10x-x2)³

then,

    y''''(5) = (6/25)(6a₀/25) + 0 + 12a₀/625 + 0

              = 48a₀/625

So,

y(x) = f(x) = f(5) + f'(5)(x-5) + f''(5)(x-5)2/2! + f'''(5)(x-5)3/3! + f''''(5)(x-5)4/4! …

                                                       or

y(x) = f(x) = a₀ + a₁(x-5) + (6ao/25)(x-5)2/2! + (6a1/25)(x-5)3/3! + (48a₀/625)(x-5)4/4!...

                                                         or

y(x) = f(x) = a₀ + a₁(x-5) + (3a₀/25)(x-5)²+ (a₁/25)(x-5)³+ (2a₀/625)(x-5)⁴.....

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