can anyone answer 7(x+3) and show work ?

21 is the total number of possible outcomes by fundamental counting principle.

A number system is defined as a system of writing to express numbers.

Fundamental Counting Principle states that if an event can occur in m different ways, and another event can occur in n different ways, then the total number of occurrences of the events is m × n.

As we observe there are 3 different sizes.

There are seven different flavours.

By fundamental counting principle multiply 7 and 3

7×3

We get 21

Hence, 21 is the total number of possible outcomes by fundamental counting principle.

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y is sufficient for β

The probability density function (pdf) of an exponential distribution with mean β is given by:

f(y | β) = (1/β)exp(-y/β), for y ≥ 0

To show that f(y | β) is in the exponential family, we need to write it in the form:

f(y | β) = h(y)exp{θT(y) - A(θ)}

where h(y), θ, and A(θ) are functions that depend only on y, θ, and do not depend on β.

First, we can rewrite the pdf as:

f(y | β) = (1/β)exp(-y/β)

= (1/β)exp{(-1/β)y}

= (1/β)exp{(-1/β)yx}

where x = 1.

Next, we can identify the functions h(y), θ, and A(θ):

h(y) = 1

θ = -1/β

A(θ) = -log(-θ)

= -log(1/β)

= log(β)

Substituting these values, we get:

f(y | β) = exp{(-1/β)y}exp{-log(β)}

= exp{(-1/β)y - log(β)}

Therefore, f(y | β) is in the exponential family.

To show that y is sufficient for β, we can use the factorization theorem.

The joint pdf of the sample y1, y2, ..., yn is:

f(y1, y2, ..., yn | β) = (1/β)^n exp{- (y1 + y2 + ... + yn)/β}

= (1/β)^n exp{-n(ybar)/β}

where ybar is the sample mean.

Using the factorization theorem, we can write:

f(y1, y2, ..., yn | β) = h(y)g(T(y), β)

where T(y) = ∑ yi and h(y) does not depend on β.

Therefore, y is sufficient for β.

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Answer:

20 grams

Step-by-step explanation:

Answer:

The slope is 7/5

Step-by-step explanation:

Here, we want to find the slope of the line

We use the slope equation

m = (y2-y1)/(x2-x1)

m = (35-70)/(25-50) = -35/-25 = 7/5

what it means is that the rate of change of the number of red drops to number of blue drops to form the purple color is in the ratio of 7 to 5

Or simply put

To form a purple color, add 7 part red to 5 parts blue drops

Answer:

the fish has a final elevation of negative 2

Step-by-step explanation:

The central angle (in radians ) is 0.8 radians.
What is a cricle ?

A circle is a basic 2D shape measured by its radius. A circle divides the plane into two areas: interior and exterior. Similar to line type. Imagine a line segment bending until the ends connect. Arrange the loops so that they form a perfect circle.

we know that,

arc length = radius *  central angle (in radians)

and central angle (in radians) = arc length / radius

by substituting the given values

arc length = 7.2

radius=9

we get,

central angle (in radians) = 7.2 / 9

=0.8 radians

Hence , the central angle = 0.8 radians

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Answer: -3y + 15

Step-by-step explanation:

Answer:

You can use 3.14 or 22/7 in the place of π.

Answer:

3.14

Step-by-step explanation:

22/7 when simplified is 3.142857143 and pi is 3.141592654

The area of the pentagon is given by A = 688.19 mm²

Given data ,

Let the area of the pentagon be represented as A

Now , the value of A is

Let the side length of the pentagon be a

where A = ( 1/4 )√5 ( 5 + 2√5 ) a²

On simplifying , we get

A = ( 1/4 ) √5 ( 5 + 2√5 )( 20 )²

On further simplification , we get

A = 688.19096 mm²

Hence , the area is A = 688.19 mm²

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Answer:

Angle A = 65 degrees, Angle B = 78 degrees

Step-by-step explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.

Answer:

Ben = $ 41

Kaden = $ 31

Step-by-step explanation:

Let initially Ben has $ p and then Kaden has $ (p  - 10).

After that

Ben has= $ (p + 4)

Kaden has = $ (p- 10 + 4) = $ ( p - 6)

According to the question,

\(p- 6 = \frac{7}{9}\times (p+4)\\\\9 p- 54 = 7 p + 28 \\\\2 p = 82\\\\p =41\)

Initially Ben has $ 41 and Kaden has $ 31.  

Answer:

Answer = 61/157

Step-by-step explanation:

First add all the numbers together.

56 + 61 + 14 + 26 = 157

Then take the number of brown hair and blue eyed people (61) and make a fraction out of all.

61/157

You can not simplify it more than that

Hope this helps

If wasps had eaten 20 apples then, 50 rotten apples were there and the rest of the apples were quality apples in the ratio of 4: 10: 20 respectively.

This is a problem from simple mathematical equations. We can solve this problem by following a few steps.

Let's consider x as the highest common factor of apples eaten by wasps, rotten and quality apples.

So, the number of apples eaten by wasps is, 4 × x = 4x

The number of rotten apples is, 10 × x = 10x

The number of quality apples is, 20 × x = 20x

As, we all know HCF of the numbers × ratio of numbers = The numbers

So, 4x = 20 as per the question.

Therefore, x = 5.

Now, we can write that the HCF is 5.

So, the number of rotten apples ≡ HCF × 10 = 5× 10 = 50.

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There are two special right triangles:

The 45-45-90 triangle

The 30-60-90 triangle.

We have,

Special right triangles are right triangles with specific angles and side ratios that make calculations easier.

There are two special right triangles:

The 45-45-90 triangle

The 30-60-90 triangle.

45-45-90 Triangle:

In a 45-45-90 triangle, the two legs are congruent, and the length of the hypotenuse is equal to the length of a leg times the square root of 2.

The angles are 45 degrees, 45 degrees, and 90 degrees.

The ratio of the sides is 1:1:√2.

30-60-90 Triangle:

In a 30-60-90 triangle, the sides are in the ratio of 1:√3:2.

The angles are 30 degrees, 60 degrees, and 90 degrees.

The side opposite the 30-degree angle is half the length of the hypotenuse, and the side opposite the 60-degree angle is the length of the hypotenuse times the square root of 3.

Thus,

There are two special right triangles:

The 45-45-90 triangle

The 30-60-90 triangle.

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Answer:

alam nio ba filipino talaga ako hahahah

Answer:

See below

Step-by-step explanation:

g (h(6))   :

   h (6) =  3 ( 6^2) + 2 = 110

   then g (110) =   sqrt (110)

h (g(5))

    g(5) = sqrt 5

        then h( sqrt5) = 3 ( sqrt5)^2 + 2 = 17

The value of the quantity d is 0.0462 m^2/s.

Here,

The quantities a=3.7m, b=3.7s, c=80m/s.

We have to find the value of d = a^3/cb^2

What is quantity?

A quantity is an amount, number, or measurement that answers the question 'how much?' Quantities can be expressed in numbers or non-standard units.

Now,

The quantities a=3.7m, b=3.7s, c=80m/s.

The value of d;

\(d = \frac{a^{3} }{cb^{2} }\)

\(d = \frac{3.7*3.7*3.7 }{80 * 3.7^{2} }\)

\(d = \frac{3.7}{80}\)

\(d = 0.0462\)

Hence, The value of the quantity d is 0.0462 m^2/s.

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Answer:

the right answer is 56.25

After learning the difference between Roth and traditional retirement plans such as IRA, 401(k), and 403(b), I would prefer a {choose either "Roth" or "Traditional"} retirement plan.

My preference is based on {provide reasons for your preference, such as tax implications, investment options, and anticipated future income tax bracket}.

Overall, the decision between a Roth and traditional retirement plan depends on individual financial circumstances and future goals. It is important to consult with a financial advisor to determine the best option for your specific situation.

Answer: 4 cm

EF is 20 cm and BC is 5. Take 20 divided by 5 and you get 4. This is the amount of how much the shape enlarged. For AC, take 16 divided by 4 and you get 4.

Hope it helps.

Answer and Step-by-step explanation:

We can use two methods to find the length of AC.

First method is the Pythagorean Theorem method.

The Pythagorean Theorem Formula is:

\(a^2 + b^2 = c^2\)

Where:

a and b = are sides of a triangle

c = the hypotenuse

Plug in the values:

\(3^2 + (AC)^2 = 5^2\\\\\\\\9 + (AC)^2 = 25\\\\\\\(AC)^2 = 16\\\\\\AC = 4\)

That means the length of side AC is equal to 4.

Background knowledge also tells us that this is a 3 4 5 triangle, because we have a 5 as the hypotenuse and a 3 for one of the sides.

Second method involving Similarity

We are told that the triangles are similar, which means that one of the triangle id a dilated version of the other, and vise versa.

We can find out the scale factor for these triangles by dividing the corresponding side lengths (which we will be using the hypotenuses).

20 divided by 5 = 4

If we divide the corresponding side of AC by 4, it will result in our answer.

16 divided by 4 = 4.

So, AC = 4

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

For the same exponent n and 1 < a < b we have

\(a^n < b^n\)

Now if we decrease the r the value then 1 + r will also decrease.

If follows that the amount of money after n years will also decrease.

Answer:

Step-by-step explanation:

It's 6

Based on the given pictures:

Angle ∠1 has a more than 90° angle, means that it is classified as obtuse angle.

Angle ∠2 has a less than 90° angle, means that it is classified as an acute angle.

∠ABC is a straight angle because it creates a straight line with 180°.

Angle ∠2 can be named as ∠EBD because it was created by lines EB and ED.

∠WXY = 88°

∠WXZ = 4x - 3

∠ZXY = 2x + 1

∠WXY = ∠WXZ + ∠ZXY

88 = (4x - 3) + (2x + 1)

88 = 6x - 2

6x = 90

x = 15

∠HIJ = 108°

IK bisects ∠HIJ

∠HIK = 4x + 2

∠HIJ = 2∠HIK

108 = 2(4x + 2)

108 = 8x + 4

8x = 104

x = 13

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The possible coordinates of the point​ A is (-3, -5) and  (-3, 7)

The given parameters are:

This means that

A = (-3, y)

The distance between any two points is calculated as

D = √[(x₁ - x₂)² + (y₁ - y₂)²]

Substitute the known values in the above equation

So, we have

10 = √[(-3 - 5)² + (y - 1)²]

Evaluate the difference

10 = √[(-8)² + (y - 1)²]

Take the square of both sides

100 = (-8)² + (y - 1)²

So, we have

100 = 64 + (y - 1)²

Evaluate the like terms

(y - 1)² = 36

Take the square roots

y - 1 = ±6

This gives

y = 1 ± 6

So, we have

y = -5 and 7

Hence, the coordinates of point​ A is (-3, -5) and  (-3, 7)

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Answer:

You would multiply 7cm twice. and then multiuply 9  twice and then you add the two sums.

so 49 plus 81  is 130

so you have 130 cm.

Step-by-step explanation:

Hope this helps Im bad at math.