boron consists of 2 isotopes. One of those isotopes has a mass of 10.012938 amu with an abundance of 19.80%. The other isotope has a relative abundance of 80.20% What is the mass number of the other isotope?​

3y = 4x + 2 is a linear equation that satisfies the graph.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Few coordinates of a linear function to make the equation of line we need only two coordinates.

general formula for linear equation is y = mx + c

where, m = slope

c = constant

General formula for slope m = (y₂ - y₁)/(x₂ -x₁)

Since graph passes through the points(3, 6) and (0, 2)

Slope m = (2 - 6)/ (0 - 3)

m = -4/-3 = 4/3

Thus, equation of line will be

y = 4/3x + c

Since the Line passes through (0, ,2 ) these point will satisfy the above equation

2 = 4/3 * 0 + c

=> c = 2

substitute the values

y = 4/3x + 2

3y = 4x +6

Therefore, equation of line that relates with the graph is 3y = 4x + 6.

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Step-by-step explanation:

The floor of a round hut has a diameter of 4 yards. What is the floor's area?

Answer:

12.56637 or 4 pi hope this helps

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

x=2/3

Step-by-step explanation:

If I am correct, I would make them both equal each other.

6x=3x+2

3x=2

x=2/3

6(2/3)=3(2/3)+2

4=2+2

4=4

Answer:

175 mins

Step-by-step explanation:

LCM of 25 and 35 is 175 which is when the next bell together will happen.

The reason that completes the proof for step 6 is given as follows:

D. Definition of midpoint.

The midpoint between two points is the halfway point between them, hence it is found obtaining the mean of the coordinates of each endpoint.

Thus the coordinates of P' are obtained as follows:

(applying the mean of the coordinates of x and y for the endpoints of the segment P').

The coordinates of R' are obtained as follows:

The coordinates of Q' are obtained as follows:

Meaning that the correct option is given by option D.

The problem is given by the image presented at the end of the answer.

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Answer:

C

Step-by-step explanation:

kilograms x pounds of dog food = ?

2.2 x 25 = 55

process of elimination;;;

A- correct answer, wrong setup

B- wrong answer, correct setup

C- correct answer, correct setup. makes the most sense

D- wrong answer, wrong setup

The equation y = 0.60x. The 0.60 represents the 0.60 feet in each second rise. The table is completed below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Every 10 seconds in the escalator step rise is 6 feet.

Let 'y' be the number of feet and 'x' be the number of seconds. Then the equation is given as,

y = 0.60x

Then the table is given as,

Time (x)           Distance escalator rises (feet)

     10                                   6

    20                                  12

    30                                  18

    40                                  24

The 0.60 represents the 0.60 feet in each second rise.

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Answer:

[tex]y = 3x - 1[/tex]

Step-by-step explanation:

Let's define the terms we are given to understand what the question is asking us to do:

⭐What is a linear function?

⭐What is slope-intercept form?

Thus, we need to write the equation of the table in slope-intercept form.

To do so, we can first find the y-intercept (c).

When x = 0, y = -1.

Therefore, the y-intercept (c) of the equation is -1.

Substitute this value into the slope-intercept form equation.

[tex]y = mx - 1[/tex]

Next, to find the slope, we have to use this formula:

⭐[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

I am going to choose the coordinates (1,2) and (2,5), but you can choose any other coordinates you are given that ISN'T (0,-1).

Substitute these coordinates into the slope formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{5-2}{2-1}\\m = \frac{3}{1}\\m = 3[/tex]

Therefore, the slope of this line is 3.

Substitute this value into the slope-intercept form equation.

[tex]y = mx - 1\\y = 3x - 1[/tex]

Hence, the equation of the linear function represented by the table is:

[tex]y = 3x - 1[/tex]

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The correct classifications for these variables are a = numerical discrete, b= categorical, c= numerical continuous, d= numerical continous, e= categorical.

As indicated by their name, numerical variables can be measured using numbers; here are some examples:

On the other hand, categorical variables fit into categories, for example:

Female vs Male

Dog vs cat

Discrete variables differ from continuous variables because they are obtained by counting, for example, the number of students in a classroom, while continuous variables need to be measured, for example, the distance.

Based on this the correct classification is:

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The velocity of the ball when it returns to the ground is -8 m/s

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The distance of a ball thrown upward is given by:

h(t) = -2t² + 12t - 10

The ball hits ground when h(t) = 0, hence:

-2t² + 12t - 10 = 0

t = 5 or 1

The velocity (V) of the ball is:

V = dh/dt

V = (d/dt)(-2t² + 12t - 10) = -4t + 12

V = -4t + 12

The ball hits ground when t = 5 or 1 s, hence:

V(1) = -4(1) + 12 = 8 m/s

V(5) = -4(5) + 12 = -8

The velocity on the ground is -8 m/s

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Answer:

[tex] \frac{2257}{2400} [/tex]

Step-by-step explanation:

2400 - (120+23)

=2400 - 143

=2257

Therefore,

2257

2400

Answer:

Generally, figure the average person takes up 18 inches of space on a bleacher seat. That is the industry standard. Therefore, for 4-row bleachers, consider these lengths and seating capacity. 7.5 feet – 20 seats (90 inches divided by 18 inches equals 5 seats, times 4 rows equals 20 seats).

Step-by-step explanation:

The required Front view and a Side view of the given prism have been shown.

3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.

Here,
"Front view" and "side view" refer to two different perspectives of an object or a scene. "Front view" is a perspective of the object or scene as seen from the front, and "side view" is a perspective of the object or scene as seen from the side.

Thus, the required Front view and Side view of the given prism has been shown.

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Answer:

the police tactic of charging a crowd with lathis or batons in order to disperse it

There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. The road junction to Timpson is option B. 20.57 miles.

To find the distance between Timpson and the junction point, we can use the Pythagorean theorem. Let's call the distance "d".

d^2 = (60 - 22)^2 + 12^2

d^2 = 38^2 + 144

d^2 = 1444

d = √(1444) = 38.03

So the distance between Timpson and the junction point is 38.03 miles. The distance between the junction point and Ashburn is simply 22 miles, so the total distance from Timpson to Ashburn is 20.57 miles (38.03 + 22).

Therefore, the distance between the road junction to Timpson is option B. 20.57 miles

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The complete question goes thus:

There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. How far is the road junction to Timpson

A. 21.57miles

B. 20.57miles

C. 10.57miles

D. 57.12 miles

Answer: 5/8 "=" 10/16

Step-by-step explanation: To compare the fractions 5/8 and 10/16, we need to find a common denominator. In this case, the least common multiple of 8 and 16 is 16.

So, we can write the fractions as:

5/8 = (52)/(82) = 10/16

So the fractions are equal, therefore, the symbol that correctly compares them is = (the equal sign).

Answer: =

Step-by-step explanation:

In order to compare the fractions, we must make sure that the fractions have common denominators. Because 8 is a factor of 16, we will convert 5/8 into a fraction that has a denominator of 16. To do this, we need to multiply the numerator and denominator by the same number, in this case, 2 since that is what multiplies by 8 to get 16. (5/8) * (2/2) = 10/16 (you can just multiply across the top and bottom to solve). Now, we can compare. 10/16 is the same as 10/16, so an = would be the appropriate symbol. Hope this helps!

Answer:

Assasination

Step-by-step explanation:

TBH I think this is it. I did some research and this is what I got. weird huh?

Hope this helps :)

Answer:

To find f(-3), substitute -3 for x in the equation for f(x):

f(-3) = 2(-3) + 5 = -6 + 5 = -1

Answer:

f(-3) = -1

To find g(x) - h(x), first substitute x into both g(x) and h(x) and then subtract h(x) from g(x):

g(x) - h(x) = -3x^2 + 2x - 6 - (-4 - x) = -3x^2 + 3x - 2

Answer:

g(x) - h(x) = -3x^2 + 3x - 2

To solve for x when f(x) = h(x), first substitute x into both f(x) and h(x), and then solve for x:

2x + 5 = -4 - x

3x = -9

x = -3

Answer:

x = -3

To determine which of the functions are linear, we need to look at the degree of the polynomials in each function. Linear functions have a degree of 1, while non-linear functions have a degree greater than 1.

f(x) = 2x + 5 is linear because it has a degree of 1

g(x) = -3x^2 + 2x - 6 is non-linear because it has a degree of 2

h(x) = -4 - x is linear because it has a degree of 1

Answer:

f(x) and h(x) are linear, while g(x) is non-linear.

Plan A has the majority of votes.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given this,  the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities.

thus we can say the total number of members who voted is 7.

Therefore, 4 votes are required for the majority.

Therefore, there is no plan that receives a majority of votes.

1st choice votes to A=3

1 choice votes to B=3 1st choice votes to C=1

So, C is to be eliminated and his 1 vote is to be transferred to A (as A is the next choice after C in column 3 of the table)

First choice vote to A = 3 + 1 = 4

First choice vote to B = 3

Since A gets the majority of votes A is the winner

Thus, Plan A has the majority of votes.

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Complete question:

The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).

Here, BC is

BC=√[(2-0)²+(1-1)²]

BC=2 units

BD is

BD= √[(3-0)²+(1-1)²]

BD= 3 units

The fraction compares BC to BD is 2/3

Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).

Answer choices:

A) 2/3

B) 5/2

C) 2/5

D) 3/2

Answer:

2/5

Step-by-step explanation:

d = √[(x2 - x1)² + (y2 - y1)²]

For segment BD:

BD = √[(5 - 0)² + (1 - 1)²]

= √[5² + 0²]

= √25

= 5

For segment BC:

BC = √[(2 - 0)² + (1 - 1)²]

= √[2² + 0²]

= √4

= 2

The slope of the given  linear relationship is; 4/5

Slope tells us that a unit change in x, which  is the independent variable will result in a change in y by the amount of b. Thus;

slope = change in y/change in x

Slope = rise/run.

In terms of two coordinates, the slope can be  expressed as;

slope = (y₂ - y₁)/(x₂ - x₁)

From the graph attached, we are given the two coordinates as;

(-3, -2) and (2,2)

Thus;

Slope = (2 - (-2))/(2 - (-3))

Slope = 4/5

This is the slope of the linear relationship.

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Answer:

Step-by-step explanation:

Answer:

1. The volume of water in the tank in cubic yards can be calculated by multiplying the length, width, and depth of the tank in feet by the conversion factor of 0.037037 yds3/ft3:

87 ft x 36 ft x 15 ft x 0.037037 yds3/ft3 = 997.78 yds3

2. To treat the water, the aquarium must purchase 998 bags of salt, as 1.1 yds3 of water requires one bag of salt.

3. The aquarium must pay $4,835.30 for the salt to treat the water in the new shark tank. This is calculated by multiplying the number of bags of salt (998) by the cost of one bag of salt ($4.85).

The coordinates of the square are 2.8

A square is a polygon whose all sides are equal.  the if the sides are equal, the coordinates of the vertices are also equal to each other.

The length of the diagonal of the square is gotten by the use of the formula for distance between two points

d = √(y₂-y₁)²+(x₂-x₁)²

distance = √(6-2)²+(-2-2)²

distance = √4²+-4²

Distance = √16+16

distance = √32 = 5.7 units

This implies that the sides of the square = 5.7/2 = 2.8

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Answer:

Domain {-3, 6}

Range: 7, 12}

Not a function

Step-by-step explanation:

Domain

Domain is the set of all x values which result in real and defined values for y

Range

Range is the set of y values that are possible from the values of x in the domain

Both are expressed in the form {min-value, max-value}

For x we see the minimum is -3 and maximum is 6

So domain = {-3, 6}

For y values we see the minimum is 7 and maximum is 12

So range = {7, 12}

A function can have only one output(y) for a specific input(x)

Here we see that for different values of x, x = 4 and x = -3, we get the same y-value

Hence it is not a function

Answer:

Step-by-step explanation:

[tex]\overline{A}[/tex]  = {0, 1, 4, 5, 6, 7, 8}, [tex]\overline{B}[/tex] =  {2, 4, 7, 9}, A ∪ B =  {0, 1, 2, 3, 4, 5, 6, 8, 9} and

A ∩ B = {3}.

A set is a collection of well-defined objects.

A subset contains all the elements or few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Given,

U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is a universal set.

A = {2, 3, 9} and B = {0, 1, 3, 5, 6, 8}.

[tex]\overline{A}[/tex] = (U - A) = {0, 1, 4, 5, 6, 7, 8}.

[tex]\overline{B}[/tex]= (U - B) = {2, 4, 7, 9}.

A ∪ B = U - {7}.

A ∪ B =  {0, 1, 2, 3, 4, 5, 6, 8, 9}.

A ∩ B = {3}

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Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.

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