The magnitude, M, of an earthquake is represented by the equation M=23log(EE0) where E is the amount of energy released by the earthquake in joules and E0=104.4 is the assigned minimal measure released by an earthquake. To the nearest tenth, what would be the magnitude of an earthquake releasing 3.4⋅1014 joules of energy?

Answer:

y = - [tex]\frac{1}{3}[/tex] x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, - 5 ) into the partial equation

- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3

y = - [tex]\frac{1}{3}[/tex] x - 3 ← equation of line

Answer:

  $7

Step-by-step explanation:

You want the cost of a shirt when the cost of 21 shirts plus a $40 setup fee is $187.

The total cost of the order is the sum of the setup fee and the extended cost of the shirts.

  cost = (setup fee) + (number of shirts) × (cost per shirt)

  187 = 40 + 21 × (cost per shirt)

Subtracting 40 gives ...

  147 = 21(cost per shirt)

Dividing by 21, we have ...

  7 = cost per shirt

Each T-shirt costs $7.

Answer:99

Step-by-step explanation:

1/2 x18x11

99

No. of par-3 holes be represented by = 5

No. of par-4 holes be represented by = 8

No. of par-5 holes are represented by = 5

Total number of courses in the club= 18 (given in the question)

Total shot taken by golfer=72 (given in the question)

Let par-3 holes be represented by t

Let par-4 holes be represented by f

Let par-5 holes be represented by v

forming equations:

f+2=2v

t=v

f + v + t = 18

f+2=2v

f=2v-2 -(i)

t=v -(ii)

f + t + v=18

putting values from (i) and (ii)

(2v-2) + v + v=18

2v-2+2v=18

4v=18+2

4v=20

v=20/4

v=5

Number of par-5 holes=5

from (i)

f=2v-2

putting value

f=2(5)-2

f=10-2

f=8

Number of par-4 holes=8

from (i)

t=v-

putting value

t=5

t=5

Number of par-3 holes=5

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Answer:notsure

Step-by-step explanation:

The length of the given isosceles triangle legs is 1.9 feet.

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

Given that,

The perimeter of an  isosceles triangle is 4.9 feet.

And, legs of the triangle are 0.3 foot less than twice the base.

Suppose the base of the triangle be x.

Then, its legs are 2x - 0.3.

As per the question the expression for the perimeter of the triangle is,

2x - 0.3 + 2x - 0.3 + x = 4.9

=> 5x - 0.6 = 4.9

=> 5x = 5.5

=> x = 1.1

Thus, the legs can be found by substituting x = 1.1 in 2x - 0.3 as below,

2 × 1.1 - 0.3

= 1.9

Hence, the length of one of the triangle’s legs is 1.9 feet.

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Using the formula of simple interest, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

In the given question,

The given principal amount = Rs 3000

The given time = 5 years

Interest amount = 525

Now finding the rate of interest.

As we know that the formula of simple interest.

I = P*R*T/100

525 = 3000*R*5/100

Multiply by 100 on both side we get

52500 = 15000*R

Divide by 15000 on both side

R = 52500/15000

R = 3.5

In the question we have to find the interest on Rs 2200 for 6 years at the same rate of interest.​

To find the interest put the value in I = P*R*T/100

As given P=2200, R=3.5%, T=6 years

I = P*R*T/100

I = 2200*3.5*6/100

I = 462

Hence, the interest on Rs 2200 for 6 years at the same rate of interest is Rs 462.

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Lines do not end, so there can not be an end behavior.

What is straight line?

Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.

The equation of the right sideline is y+8 =  [tex]\frac{4+8}{2-0}[/tex] (x-0)

y+8 = 6(x -0)

y =6x - 8

Now the endpoint of the line is given so it will not extend indefinitely.

Hence the Lines do not end so there can not be an end behavior.

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The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

[tex]\mu = p = 0.388[/tex]

The standard error of the distribution is of:

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184[/tex]

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We can get heads for 200 times if we flipped the dime for 200 times.

What do you mean by Probability?

Probability is a mathematical measurement to measure the possibility of happening a particular incident or event mathematically.

Also, from the definition of probability, Probability is the ratio of the Number of Favorable event points to the number of total event points with respect to a particular event or incident.

[tex]Probability=\frac{Number of Favorable event Points}{Number of Total event Points}[/tex]

According to the given problem,

The probability of getting heads is 1.

Total number of flip of dime is 200

so, we can get heads from 200 flips [tex]=200*1=200 Times[/tex]

Hence, we get 200 heads from 200 flips of dime.

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8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

What is permutation and combination?
A permutation is an orderly arrangement of things or numbers.
Combinations are a means to choose items or numbers from a collection or set of items without worrying about the items' chronological order.
The amount of two-letter words that can be created using the letters in a word, like GREAT, is an illustration of permutations: ⁵P₂ = 5!/(5-2)!
How many different ways we may write the words utilizing the vowels in the word GREAT is an example of a combination: ⁵C₂ = 5!/[2! × (5-2)!]

Given, the letters that can be used to create the required three letter word in question: a, b, c, d, e.
Total number of letters that can be used = 5
Total number of vowels in the available letters to be used = 2 ('a' and 'e')
Total number of consonants in the available letters to be used = 3 ('b', 'c' and 'd')
Case 1: A three letter word having all vowels where letters can be repeated
Here, since two letters are to put in three empty positions, the total number of ways to form this word = 2³ = 2 × 2 × 2 = 8
Case 2: A three letter word having all consonants where letters can be repeated
Here, since three letters are to put in three empty positions, the total number of ways to form this word = 3³ = 3 × 3 × 3 = 27
Thus, 8 strings can be formed with all vowels from a, b, c, d, e and 27 strings can be formed with all consonants from a, b, c, d and e.

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The conflict style they used is Collaboration.

Given, that Nikolai wants to take Thomas to a Vietnamese Restaurant (which serves generous portions of inexpensive but delicious food), and Teresa wants to take Thomas to a French restaurant (which serves expensive and beautifully presented food)

To resolve the issue, they decide to flip a coin.

If Nikolai wins the coin toss they will take Thomas to the Vietnamese restaurant and the next time a friend of theirs has a birthday they will take her or him to the French restaurant Teresa likes and If Teresa wins the coin toss, they will go to the French restaurant first and the Vietnamese restaurant later.

Here, we can see that this is a win-win situation as both can go to their favorite restaurant.

So, the conflict style they used is Collaboration. As, Collaboration generates solutions that satisfy both the parties’ needs.

Hence, the conflict style they used is Collaboration.

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Answer:

Equation of Perpendicular Line: 4x-3y=22

Equation of parallel line:3x+4y+4=

The slop m is ( 2-3).The slope formula, or the ratio of the change in the y values to the change in the x values, is m is equal to subtraction of y2 and y1 and divide by subtraction of x2 and x1  The initial point's coordinates are x1 and y1, respectively.

The slope formula, or the ratio of the change in the y values to the change in the x values, is m=(y2-y1)/(x2-x1). The initial point's coordinates are x1 and y1, respectively.

(10, 7) and (3, 1).

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

3-1 / 7-10= 2/-3

The slop m is ( 2-3)

When determining the slope of a straight line without its equation, there are three steps. The first point's coordinates are x1 and y1. Step one is to locate the line's first two points. Step 2: Decide which will be (x1, y1) and which will be (x2, y2). Step 3: Determine the slope using the slope equation.

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Answer: the i8 49

Step-by-step explanation:98493

The graph of the linear equation:

y - 4 = (2/3)*(x + 2)

Can be seen on the image at the end.

Here we have the following linear equation:

y - 4 = (2/3)*(x + 2)

Isolating y, we get:

y = (2/3)*(x + 2) + 4

To graph the line, we just need to evaluate it in two different values of x so we get two points, once we get the points, we can graph them on a coordinate axis and then connect them with a line.

If we use x = 1 we get:

y = (2/3)*(1 + 2) + 4

y = (2/3)*3 + 4

y = 2 + 4 = 6

y = 6

Then we have the point (1, 6)

if x = 4 then:

y = (2/3)*(4 + 2) + 4

y = (2/3)*6 + 4

y = 4 + 4 = 8

So we have the point (4, 8)

Then the graph of the linear equation is the one you can see below:

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The reflection of point produce an image at the same coordinates, (0, k) is a reflection of the point across the y-axis.

A figure is transformed into a reflection by a transformational process. In a point, a line, or a plane, figures can be reflected. The image and preimage coincide when reflecting a figure in a line or a point.

Every point of a figure is translated to an image across a fixed line via a reflection. The fixed line is referred to as the reflection line.

Given:

A point has the coordinates (0, k).

The rule for a reflection of a point across the x-axis is:

(x, y) ----> (x, -y)

and, the reflection is (0 , -k)

The rule for a reflection of a point across the y-axis is:

(x, y) ----> (-x, y)

and, the reflection is (-0 , k) or (0, k).

The rule for a reflection of a point across the line y = x is:

(x, y) ----> (y, x)

and, the reflection is (k, 0).

and, The rule for a reflection of a point across the line y = -x is:

(x, y) ----> (-y, x)

and, the reflection is (-k, 0)

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The ratio of a : b in the given expression is 16:3  .

In the question ,

it is given that

the algebraic expression is (a+3b)/5 = (a-2b)/2

we have to find the ratio of a:b ,

in order to find the ratio,

we cross multiplying ,

On cross multiplying , we get

2 * (a+3b) = 5 * (a-2b)

2a + 6b = 5a - 10b

5a - 2a = 10b + 6b

3a = 16b

dividing both sides by b ,

a/b = 16/3

a:b = 16:3

Therefore , The ratio of a : b in the given expression is 16:3 .

The given question is incomplete , the complete question is

What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2  ?

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The solution for g(7) in the piecewise function g(x) = (x + 1)(x - 5) is 16

From the question, we have the equation that can be used in our computation to be a piecewise function

This piecewise function is represented as g(x)

Also from the question, we have the following function that we are to compute

g(7)

This means that the value of x is 7, and we calculate g(x) when x = 7

To do this, we make use of an equation in the piecewise function, where the domain occupies x = 7

This domain is x c (2, oo)

And the function is

g(x) = (x + 1)(x - 5)

Substitute the known values in the above equation, so, we have the following representation

g(7) = (x + 1)(x - 5)

So, we have the following equation

g(7) = (7 + 1)(7 - 5)

There is no constant to add or subtract to both sides of the equation

Also, there is no factor to multiply or divide from both sides of the equation

So, we have the following representation

g(7) = (7 + 1)(7 - 5)

Solving further, we have

g(7) = 16

Hence, the solution is 16

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The letter has reflection symmetry only. When one half of an object or form reflects the other half, this is known as reflection symmetry. The line where you cut is referred to as the line of symmetry, generating the two equal portions, and the two halves are reflections of one another.

Mirror symmetry, line symmetry, reflection symmetry, and mirror-image symmetry are all terms used in mathematics to describe symmetry with respect to a reflection. To put it another way, a figure with reflectional symmetry is unaffected by reflection. There is a symmetry line or axis in 2D and a symmetry plane in 3D.

A sort of symmetry that pertains to reflections is called reflection symmetry. Line symmetry and mirror symmetry are other names for reflection symmetry. If a figure has at least one line dividing it into two halves, one half is said to be the mirror image of the other half.

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Answer: n=1/27=0.037

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 3*n-(1/9)=0

Simplify 1/9

3n -  1/9  = 0

Rewrite the whole as a fraction using  9  as the denominator :

          3n     3n • 9

    3n =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3n • 9 - (1)     27n - 1

————————————  =  ———————

     9              9  

End of step 2  

27n - 1

 ———————  = 0

    9  

Start of step 3

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 27n-1

 ————— • 9 = 0 • 9

   9  

Now, on the left hand side, the  9  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  27n-1  = 0

Solving a Single Variable Equation:

3.2      Solve:    27n-1 = 0

Add  1  to both sides of the equation :

                     27n = 1

Divide both sides of the equation by 27:

                    n = 1/27 = 0.037

Answer:

solve for x 7 (5x+9)=- (x-9) 7(5x + 9) = −(x − 9) 7 ( 5 x + 9) = - ( x - 9) Simplify 7(5x+9) 7 ( 5 x + 9). Tap for more steps... 35x+63 = −(x−9) 35 x + 63 = - ( x - 9) Simplify −(x−9) - ( x - 9).

Step-by-step explanation:

Rewrite 0+0+7(5x+9)= -(x----9)

Apply the distributive property. 7 (5x) + 7.9= - (x-9)

The y-intercept of f(x) = (1.6)x is (a) less than the y-intercept of the function in the graph

The equation of the function is given as

f(x) = (1.6)x

To determine the y-intercept, we set x = 0

So, we have

f(0) = 1.6 * 0

Evaluate

f(0) = 0

For the graph, we have

When x = 0, the function has a value of 1

This means that

y-intercept is 1

0 is less than 1

Hence, the y-intercept of f(x) = (1.6)x is (a) less

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Answer:

the answer is 350

Step-by-step explanation:

if it increased by 200% that means it doubled

so when x is doubled we get 700

so: 2x=700

       x=700/2

       x=350

Answer:

The answer is 24 I think

Step-by-step explanation:

just multipy the numbers

Using the principle of proportional relationship, the total recommended daily amount of fiber is  34.4 grams

Let x be the recommended daily amount ( in grams ) of the fiber,

So, 32% of x = [tex]\frac{32}{100}x[/tex] = 0.32x

According to the question,

11 grams is 32% of the recommended daily amount of fiber,

That is, 0.32x = 11

x = 11/0.32 = 34.4 grams

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Answer:

106

Step-by-step explanation:

180-74=106

You can find x by looking at the corresponding angle under it and we know a straight line is 180 degrees and the other side of the x is 74 degrees then we just subtract to find the x angle

Hopes this helps please mark brainliest

Step-by-step explanation:

the flight path of a rocket or a thrown object is a parabola as described by the function.

h(t) = -16t² + 40t + 7

the negative sign of the prime coefficient (-16) tells us that the parabola opens downwards, and that the vertex as the extreme point of the parabola is a maximum.

we get the extreme point of a curve by finding the zero solution of the first derivative of the function.

and the extreme value itself by using that value in the original equation and calculate the result.

h'(t) = -32t + 40

0 = -32t + 40

32t = 40

t = 40/32 = 5/4 = 1.25 seconds

h(5/4) = -16×(5/4)² + 40×5/4 + 7 =

= -16×25/16 + 10×5 + 7 =

= -25 + 50 + 7 = 32 ft

the rocket will reach its maximum height of 32 ft after 1.25 seconds.

Answer: length C to A is .001 and c to b is 0.03 and b to a is 0.04

Step-by-step explanation: