All of the select options are the same which are ( -6,-4,-2,0,2,4,6)

This type of study is prospective cohort study.

Controls consist of individuals from the source population who do not have the outcome of interest. Case-base sampling (also known as "case-cohort" sampling): Controls are selected from the population at risk at the beginning of the follow-up period in the cohort study within which the case-control study was nested.

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Answer:

c, a, b

Step-by-step explanation:

Given

See attachment for matrices

(a)

\(D = \left[\begin{array}{cc}\cos\theta &\sin\theta\\ -\sin\theta& \cos\theta\\\end{array}\right]\)

The determinant of the matrix is:

\(|D |= (\cos\theta * \cos\theta - \sin\theta *- \sin\theta)\)

\(|D | = \cos^2\theta + \sin^2\theta\)

Using trigonometry ratio, we have:

\(|D | = 1\)

(b)

\(\left[\begin{array}{ccc}2&0\\0&2\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 2 * 2 - 0 * 0\)

\(|D| = 4 - 0\)

\(|D| = 4\)

(c)

\(\left[\begin{array}{ccc}0&i\\-i&0\end{array}\right]\)

The determinant of the matrix is:

\(|D| = 0 * 0 -(-i * i)\)

\(|D| = 0 +i^2\)

\(|D| = i^2\)

In complex numbers

\(i^2 = -1\)

So:

\(|D| = -1\)

So, the order of the determinants is: c, a, b

Answer: Choice B

The initial amount in the account.

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

Reason:

x is the number of years

x = 0 is the starting point. Let's plug that in to find...

\(y = 982(1.07)^x\\\\y = 982(1.07)^0\\\\y = 982(1)\\\\y = 982\\\\\)

At the start, Sammy has $982 in the bank.

Side note: The 1.07 means the account is growing by 7% each year.

The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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We know that

• 2/5 are strawberries.

• 1/4 of the strawberries are chocolate covered.

We have to find 1/4 of 2/5, let's multiply these fractions.

Alpha particle radiation is the type of radiation that has a positive charge. Alpha radiation is a type of ionizing radiation that includes alpha particles. Alpha particles are made up of two protons and two neutrons, similar to the nucleus of a helium atom.

Alpha radiation can be stopped or absorbed by a piece of paper or the outer layer of human skin since it only travels a short distance through the air. Alpha radiation is not as penetrating as beta or gamma radiation because of its mass. They have a positive charge due to the two protons present in their nucleus. When alpha particles collide with matter, they lose their energy quickly. They produce heavy damage over a small distance, which can cause damage to internal organs if inhaled or ingested.

Cathode rays, also known as cathode ray tubes (CRT), were the first positive identification of electrons. When high-voltage electricity is applied to electrodes in a vacuum tube, the cathode emits rays, which are negatively charged particles that travel toward the positively charged anode. The cathode is negatively charged, which is why cathode rays are negatively charged.

Beta radiation is composed of high-speed electrons or positrons, and they have a negative charge. They have greater penetrative power than alpha radiation, but they are more easily absorbed by materials like aluminum. When a beta particle collides with matter, it produces less ionization than an alpha particle. However, beta particles have more range and cause more serious skin burns. They are produced in the decay of heavy isotopes like uranium and plutonium.

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Answer:

88 cm²

Step-by-step explanation:

6*2*2+2*2= 28 cm² sides

6*3*2= 36 cm² top and bottom

3*4*2= 24 cm² front and back

28+36+24= 88 cm²

Answer:

\(6 \times 2 + 2 \times 2 = 28 \\ \\ 6 \times 3 \times 2 = 36 \\ \\ 3 \times 4 \times 2 = 24 \\ \\ 28 + 36 + 24 = 88cm {}^{2} \)

The relationships between x and y that satisfy the curve defined by 2sin(x−3y)+ln(x+y)=2x2y3 at vertical and horizontal tangents are:

Vertical tangent: x = 3y.

Horizontal tangent: y = 1.

A vertical tangent occurs when the derivative of the function is equal to infinity. The derivative of the function is given by

dy/dx = (2x^2 y^2 - 2sin(x - 3y))/(x + y)

If x = 3y, then dy/dx = infinity, so there is a vertical tangent at x = 3y.

A horizontal tangent occurs when the derivative of the function is equal to 0. If y = 1, then dy/dx = 0, so there is a horizontal tangent at y = 1.

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Answer: I Think it's 20%

Answer:

the answer is a

Step-by-step explanation:

a is .75 shaded in then there are 5 sections in the shaded area

Answer:

D is the correct option.

Step-by-step explanation:

I used the elimination method to solve this. so we can see that there is 100 boxes and we need to 75 to be shaded. only C and D have 75 squares shaded so we can eliminate A and B. now we have to divide by 5. Square C is divided 3 times while square D is divided 5 times, so square D is correct.

Have a nice day! :-)

if you find that less than 24 number of products are made correctly, you would shut down production.

if you find that less than 24 number of products are made correctly, you would shut down production.

The company finds that 85.6% of products are made correctly. Therefore, if you take 30 products from the line and test them, you would expect at least 25.68 products to be made correctly (30 * 0.856). Since this is not a whole number, you would need to round down. Therefore, if you find that less than 24 products are made correctly, you would shut down production.

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\(a_1\) is the first term of the sequence, which is \(\boxed{-4}.\)

\(r\) is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so \(\boxed{r=-2}.\)

We use the formula \(S_n=\frac{a_1(r^n-1)}{r-1}\) to find the sum of the first 6 terms - just plug in our values for \(a_1\) and \(r:\)

\(S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.\)

The Vertex form of the equation 6x²+12x+y+13=0 is y = -6(x+1)²-7

The vertex form of the equation y=ax²+bx+c can be written as

y = a(x-h)²+k

where h= -b/2a ,

and k = ah²+bh+c

In the question ,

the equation is given as

6x²+12x+y+13=0

Rewriting the equation , we get

y = -6x²-12x-13

So , the value of a = -6 , b = -12 and c = -13

Substituting the values , to find h ,

we get

h = -(-12)/2(-6)

h = 12/(-12)

h = -1

Substituting the value of h, a, b, c in the formula of k ,

we get ,

k = -6(-1)² -12(-1) -13

= -6*1 +12 -13

= -6 -1

= -7

Substituting the value of h and k to find the vertex form of the equation we get ,

y = -6(x+1)² -7

Therefore , the vertex form of the equation 6x²+12x+y+13=0 is

y = -6(x+1)²-7

The given question is incomplete , the complete question is

Find the vertex form of 6x²+12x+y+13=0 .

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Answer:

Could You Please Explain More?

Step-by-step explanation:

Answer: ABC is not a right angled triangle

Step-by-step explanation:

total = 22cm

22-8-5= 9cm

Hypotuneus = 9 cm since its the longest angle

pythagoras theorum = a2+b2=c2

so we need to see if 8² +5² =9²

64+25 need to be 81 (9² )

but its 64+25=89

therefore it is not a right angles triangle.

V contains the zero vector. As V satisfies all the three properties, it is a subspace of M22. The solution to the given problem is shown below:

a) We know that the set of 2x2 skew symmetric matrices

V = {A | AT = -A} can be written as:

V = { A = [ a11 a12 ; a21 a22 ] ∈ M22 :

a12 = -a21, a11 = -a22 }

Let's consider the following matrices A,

B ∈ V and scalars c, d ∈ R

such that A = [ a11 a12 ; -a12 -a11 ] and

B = [ b11 b12 ; -b12 -b11 ].

a) Showing that V is a subspace of M22- Firstly, let's show that V is non-empty.

For that, we have to find one matrix that satisfies the condition.

One such matrix is:

A = [0 1 ; -1 0], as A.

T = [0 -1 ; 1 0] and -A = [0 -1 ; 1 0].

Therefore, A.

T = -A and A ∈ V.

Since V contains at least one element, it is non-empty.

To show that V is a subspace, we need to check that it is closed under addition and scalar multiplication, and contains the zero vector.

Let's check these properties:

i) Closure under addition Let's consider A + B. Then,

(A + B).T = A.T + B.T

= -A + (-B)

= -(A + B).

Therefore, A + B ∈ V and V is closed under addition.

ii) Closure under scalar multiplication Let's consider cA.

Then, (cA).T = cA.T

= -c A Therefore,  cA ∈ V and V is closed under scalar multiplication.

iii) Contains the zero vector The zero matrix O ∈ V,

since O.T = O = -O.  

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Answer:

yes

Step-by-step explanation:

it sounds good to me

The value of the function f(x) when x = 0 is not defined as the logarithm function is not defined for x ≤ 0.What is the

value of the function f(x) when x = 0?The value of the function f(x) when x = 0 is undefined as the logarithm function is not defined for x ≤ 0. Therefore, x = 0 is not in the range of the function f(x) = log(x).A natural logarithm function

defined only for values of x greater than zero (x > 0), so x = 0 is outside of the domain of the function f(x) = log(x). Therefore, x = 0 is not in the range of the function f(x) = log(x).In summary,x = 0 is not in the range of the function f(x) = log(x).The value of the function f(x) when x = 0 is undefined.

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Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
\(\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }\)

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

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Topic: Precalculus

Unit: Trigonometry

Answer:

7)

a. y = 1/3x - 2

b. m = 1/3, b = -2

8.

a. y = -1/3x -5

b. m = -1/3, b = -5

Step-by-step explanation:

7.

2x - 6y = 12

-6y = -2x + 12

y = 1/3x - 2

8.

x + 3y = -15

3y = -x - 15

y = -1/3x -5

c.

In order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.

So,

The orange juice concentrate to water ratio is 12:36.

Now, let's call 'x' the amount of concentrated orange juice in 4.5 gallons of orange juice and 'y' the amount of water in the 4.5 gallons of orange juice we have;

We can conclude the following from equations (1) and (2):

x = 1.125 gallons of concentrated orange juice in 4.5 gallons of orange juice:

y = 3.375, the amount of water in 4.5 gallons of orange juice.

As a result, we have;

The number of fluid ounces in a carton is 12 ounces.

In 4.5 gallons of orange juice, x = 1.125 gallons = 144 fluidounces = 12 cartons of concentrated orange juice

Therefore, in order to make 4.5 gallons of orange juice, she will need 12 cartons of concentrated orange juice.

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Using the reflection concept, the function is given by:

\(g(x) = 5x - 2\)

------------------

The function given is:

\(f(x) = -5x + 2\)

The reflection over the x-axis is:

\(g(x) = -f(x)\)

\(g(x) = -(-5x + 2)\)

\(g(x) = 5x - 2\)

Which is the desired function g.

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Answer:no solution because it will equal 0

tep-by-step explanation:

Solution:

Note that:

Looking at the notes, we can conclude that ∠K measures 150° because of the equation (∠L = ∠K).

Hoped this helped!

Alternative angles have sum 180°

\(\\ \rm\hookrightarrow 150+x=180\)

\(\\ \rm\hookrightarrow x=180-150\)

\(\\ \rm\hookrightarrow x=30\)

Answer:

x<16

Step-by-step explanation:

let x be the number

2x8>x

16>x

Step-by-step explanation:

remember the definitions of these 2 types of numbers ?

rational numbers are all numbers that can be written as

a/b

where a and b are integers, and b <> 0.

this includes all real fractions, but also all whole or integer numbers, as they can be written as a/1.

if they have digits after the decimal point, they are either finite, or they have a repeating pattern for all eternity.

irrational numbers are all numbers with an infinite series of digits after the decimal point without any repeating patterns.

that includes all squares roots of non-squared numbers or any other roots of numbers that are not the product of correspondingly many multiplications with themselves. and trigonometric function and logarithm results, and the special numbers in math and physics : pi and e.

so,

4/7 is rational

sqrt(30) is irrational

21/sqrt(4) is a trick question, as sqrt(4) = 2.

so, this is actually

21/2 is rational

pi is irrational

-27 = -27/1 is rational

Based on the equation in the question , the R2 would be 0.934.

To compute R2, we need to use the formula:

R2 = SSR / SST

Given that SSR = 14,141.7 and

SST = 15,128.4,

We can substitute these values into the formula:

R2 = 14,141.7 / 15,128.4

R2 ≈ 0.934

b. To compute Ra2, we need to subtract R2 from 1:

Ra2 = 1 - R2

Substituting the value of R2 we calculated in part a:

Ra2 ≈ 1 - 0.934

Ra2 ≈ 0.066

c. A large R2 value indicates that the estimated regression equation explains a large amount of the variability in the data.

In this case, R2 is approximately 0.934, which means that the estimated regression equation explains about 93.4% of the variability in the data.

So, the answer is "Yes".

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Answer:

y=2/3x-6 1/3

Step-by-step explanation:

y+1=2/3(x-8)

first do the distributive property.

2/3*x=2/3x

2/3*-8= -5 1/3

2/3x-5 1/3

then we subtract 1 from both sides

y=2/3x-6 1/3