A social media website had 500,000 followers in 2012. The number y of followers increases by 19% each

year.

a. Write a function that represents the number of followers t years after 2012.

b. How many people will be following the website in 2019? Round your answer to the nearest thousand

The system of linear equations shown in the graph has no solution.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the coordinates of two lines,

line 1: line passes from (0, 3) and (3, 2)

and slope of the line is given by,

m = (y₂ - y₁)/(x₂ - x₁)

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

m = -1/3

Line 2: line passes from (0, -2) and (3, -3)

slope =  (y₂ - y₁)/(x₂ - x₁)

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

m = -1/3

since both, the lines have the same slope so both lines will be parallel,

If two lines are parallel, they will never intersect and so there is no solution to the given system of equations.

Hence lines will have no solution.

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The steps to solve the equations are his below.

Here are the steps to solve a system of two linear equations:

Write the equations in slope-intercept form (y = mx + b) or standard form (ax + by = c).

Identify the coefficients and the constant terms of each equation.

Choose one equation and solve for one variable (e.g. x or y).

Substitute the value of the variable found in step 3 into the other equation.

Solve for the other variable by rearranging the equation obtained in step 4.

Substitute the values of both variables back into either equation to check the solution.

Graph the two equations on the same set of axes to visually check if the solution is correct.

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Arun walked 5 km to east and then 12km to north. By joining the starting point and the end point by straight line we will get a right angled triangle, hypotenuse of which will tell how far is he from his starting point.

The square on the hypotenuse's area is equal to the sum of the two squares on the legs (a and b) (c). Pythagoras, a Greek philosopher who was born in 570 BC, is honored by having his theorem named after him. The theorem has already been shown more than once through various techniques, possibly greater than any other mathematical theorem. The hypotenuse side of a right-angled triangle's square is equal to the total of its other two sides, according to Pythagoras' Theorem. These right triangle three sides are known as the Perpendicular, Base, and Hypotenuse.

So Pythagoras theorem,

H²= 5² + 12²

H²= 25 + 144

H² = 169

H = 13

So, he will be 13 km far away from his starting point.

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The equation of the line is y = (3/5)x + 14/5.

This graph is option D.

Option D is the correct answer.

The equation of a line is given by:

y = mx + c

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

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Slope = 3/5

Passes through the point = (-3, 1)

Now,

The equation of the line.

y = mx + c

m = 3/5

(-3, 1) = (x, y)

1 = (3/5)(-3) + c

1 = -9/5 + c

c = 1 + 9/5

c = 14/5

Now,

y = mx + c

y = (3/5)x + 14/5

This graph is option D.

Thus,

The equation of the line is y = (3/5)x + 14/5.

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The ordered pairs that are solutions to y + 2 = -3(x - 4) include :

To find the ordered pairs, insert the x value in an ordered pair, into the equation. If the y value that you are given is the same as the one in the ordered pair, then the ordered pair is a solution to the equation.

Ordered pair ( 5, - 5 ) :

y + 2 = - 3 ( 5 - 4 )

y + 2 = - 3

y = - 3 - 2

y = - 5

Ordered Pair ( 2, 4 )

y + 2 = - 3 ( 2 - 4 )

y + 2 = 6

y = 6 - 2

y = 4

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Options for this question are:

Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2) then the area of Figure ABCD be 25 square units.

A vertex in geometry is a location where two or more curves, lines, or edges come together. The intersection of two lines to form an angle, as well as the corners of polygons and polyhedra, are vertices according to this definition.

A polygon's vertex is a location where the sides or edges of the item or two rays or line segments meet. Vertex is a noun, whereas vertices is the plural. Vertices are the points at which the edges of the three-dimensional shape converge. Edges are the lines that separate two faces, while faces are flat surfaces.

The area of the trapezoid exists equal to

A = 1/2 (AD + BC) AB

To estimate the distance between the points in the graph we have

AD = 4 units, BC = 6 units and AB = 5 units

substitute the values in the above equation, we get

A = 1/2 (4 + 6)5 = 25 square units

Therefore, the correct answer is option c) 25 square units.

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He stands 6 feet tall, and his shadow extends 9 feet. if the building's shadow extends for 322.5 feet.

Now 6/9 = X/322.5

9X = 1935

X = 215ft

The Height of the building = 215ft

Consider an object AB of height h such that its shadow of length s is formed and angle of elevation is θ.

The object AB depicts a right triangle in which ∠ABO = 90o.

Now we know that in trigonometry, the tangent ratio for an angle is equal to the opposite side to that angle divided by its adjacent side.

So, for the angle of elevation θ, we have

=> tan θ = AB/OB

Putting AB = h and OB = s, we get

=> tan θ = h/s

=> s/h = 1/tan θ

=> s = h/tan θ

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The examination of the results of the two numerical articulations, 72 × 3 and 72 × 7, can be resolved utilizing the duplication administrator (×). 72 × 3 = 216 and 72 × 7 = 504.

While contrasting the results of these two expressions, we can see that 504 is more prominent than 216. This can be addressed as 504 > 216.

This implies that when 72 is duplicated by 7, the outcome is more prominent than when 72 is increased by 3.

This is on the grounds that 7 is a bigger number than 3, and thus, when it is increased by 72, the outcome will be bigger. All in all, the expression 72 × 7 delivers a more noteworthy worth than the expression 72 × 3.

All in all, the examination between 72 × 3 and 72 × 7 outcomes in 72 × 7 being more prominent than 72 × 3, or 504 > 216.

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Note that where in a Rhombus ACDB, m∠CDB = 60 degrees and BC = 10. The diagonals cross at point M. The length of the side of ACDB is 10.

A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.

Note that the above-described Rhombus is described accordingly. Since the diagonals are perpendicular to each other and bisect one another each at an inner angle that is 90° each, then we can say that;

∠MDC = 30°
MC = 1/2BC

= 1/2 * 10
= 5

Thus,

DC = MC/Sin30°
= 5/1/2
= 5 * 2
= 10

Thus, the measure of a side of a Rhombus - ACDB is 10.

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Answer:

Jamie has $12.50 of her allowance left if the books cost $2.50 each.

Step-by-step explanation:

To calculate this, first calculate the total cost of the books:

5 books x $2.50/book = $12.50.

Then subtract the cost of the books from the amount Jamie has saved:

$38 - $12.50 = $25.50.

Finally, subtract the cost of the books from the amount Jamie has saved to get the amount she has left:

$25.50 - $12.50 = $12.50.

Answer:

$25.50

Step-by-step explanation:

We know Jamie bought 5 books, each worth $2.50, d. We need to know the cost of all five, so we’ll go ahead and multiply 5 times $2.50 to get $12.50.

Since we know how much the books cost, all we have to do now is subtract the amount she spent from her allowance. $38.00 - $12.50 is 25.50, the amount of money Jamie has left.

Answer:

60 people

Step-by-step explanation:

Before

C:A

2:3

After

C:A

3:2

We know that the number of adults never change.

Before

C:A

4:6

After

C:A

9:6

difference in units of children= 9-4

= 5

5 units= 30

1 unit= 30÷5

= 6

total units [before]= 4+6

= 10

10 units= 6×10

=60

Answer:-0.696

Step-by-step explanation:Let the total daily pocket money of the 35 pupils in the other class "A" and the total daily pocket money of all 80 pupils "B".

The mean daily pocket money of the 35 pupils in the other class is m cents, so:

A = 35 * m

The mean daily pocket money of all 80 pupils is 72.25 cents, so:

B = 80 * 72.25

Since we know the total pocket money of both classes, we can use this information to solve for m:

A + B = 115 * m

35 * m + 80 * 72.25 = 115 * m

35 * m = 115 * m - 80 * 72.25

35 * m = 115 * m - 5780

5780 = 115 * m - 35 * m

5780=80 * m

Finally, we can solve for m:

m = 5780/80

m = 72.25

Answer:

Below

Step-by-step explanation:

If the men are indistinguishable   and the women are too, then

6 w  5 m    

7 w 4 m

8 w   3 m

      3 ways

IF they ARE distinguishable it becomes a much larger, complex calculation:

8 C 6 * 10 C 5   +  8 C 7 * 10 C 4   +  8 * 10 C 3  

  ( is THIS what you are studying ? )

The best discrete variable of measurement for the situation is an interval.

Finding the scale of measurement for the variables is the next step in selecting a statistical test after identifying the independent and dependent variables. The dependent variable must be measured using an interval or ratio scale for each of the parametric tests that we have covered so far. Many psychologists also subject variables with roughly interval scales of measurement to parametric tests. You must decide whether to use "scale" or "interval" scores when performing parametric tests of means.

Given the condition about whether the race of the defendant has an impact on jury verdicts,

and measure on a 1 (not at all) to 7 (very) scale how guilty the defendant,

The best scale of measurement for the condition is an interval.

Although the interval scale has characteristics of nominal and ordered data, it also allows for the quantification of data point differences. The variables' actual positions in the order as well as their differences are both displayed by this form of data. They can be combined or split, but not added to or subtracted from. 

The fact that zero is an existing variable adds another characteristic to this scale. Zero in the ordinal scale indicates that there is no data.

Hence the scale of measurement is an interval.

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It is important to note that the probability of an exact match at all 16 loci is very low, as even small differences in the number of repeats at each locus can result in different genotypes. This makes it unlikely to find two individuals with an exact match at all loci.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula.

Here,

To calculate the probability of an identical match at all 16 STR loci, you would need to determine the frequency of each unique genotype at each locus, and then multiply the frequencies of each unique genotype to obtain the probability of all 16 loci having the same genotype in two individuals.

This probability would be based on the genetic makeup of the population of elephants that the individuals are drawn from, and the specific alleles present at each locus in each individual.

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A limit describes a function's value as it gets closer to a certain value as its inputs increase. All calculus is based on the concept of a limit.

There are one-sided limits (left- and right-hand limits), infinite limits, and limitations at infinity in addition to regular, two-sided limits.

Let's look at an example to better grasp what limits are. Beginning with the function f (x) = x + 2 f(x) = x + 2 f(x) = x + 2f, left parenthesis, x, right parenthesis, equals, x, plus, 2. The value f approaches as we move closer and closer to x = 3 x=3 x=3, which is the limit of f at x = 3 x=3 x=3.

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The values of the two limits are lim x->33- g(x) = -15 and lim x->33+ g(x) = -6.

Option (B) is correct.

What is a limit in calculus?

The limits in mathematics describe the behavior of a function as the input approaches a certain value. The symbols for limits are "lim" followed by the variable and the value that the variable is approaching, with an arrow indicating the direction of the approach.

For the given function g(x), we have the following limits:

lim x->33- g(x) = -15.1

This means that as x approaches 33 from below, the value of g(x) approaches -15.1. We can see this from the values in the table, as x gets closer to 33 from below, g(x) gets closer to -15.1.

lim x->33+ g(x) = -6.1

This means that as x approaches 33 from above, the value of g(x) approaches -6.1. We can see this from the values in the table, as x gets closer to 33 from above, g(x) gets closer to -6.1.

So, the values of the two limits are lim x->33- g(x) = -15.1 and lim x->33+ g(x) = -6.1.

Hence, The values of the two limits are lim x->33- g(x) = -15 and lim x->33+ g(x) = -6.

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Answer:Not to simplify

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

9/10 is already in its simplest form. It cannot be further simplified as it is a fraction with two prime numbers in its numerator and denominator.

Answer:

2 - √5 is an irrational number

Step-by-step explanation:

The sum or difference between a rational number and an irrational number is always irrational.

Here 2 is a rational number and √5 is an irrational number. Hence 2 - √5 is an irrational number.

If Pete sells 50 pizzas, he will make a profit of $75. The equation can be used to determine the profit is y = 5.50x - 200.

Pete's Pizzas charges $5.50 per pizza and has spent $200 in supplies to start his business.

We can use the following equation to determine the total profit he will make after he sells x amount of pizzas:

y = 5.50x - 200

where y is the total profit, 5.50 is the revenue per pizza, x is the number of pizzas sold, and -200 is the fixed cost for the supplies.

For example, if Pete sells 50 pizzas, we can plug in the values into the equation:

y = 5.50 * 50 - 200

y = 275 - 200

y = 75

So, if Pete sells 50 pizzas, he will make a profit of $75. The equation can be used to determine the profit for any number of pizzas sold by simply changing the value of x.

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Answer:

-1/16

Step-by-step explanation:

5/16 - 3/8 =

To subtract fractions, you need a common denominator. The least common denominator (LCD) of 16 and 8 is 8.

= 5/16 - 6/16

= -1/16

Answer:

7 units

Step-by-step explanation:

The point is 4 units from the x axis and 3 units from the y axis.

4 + 3 = 7

Answer:

Nick can bake 16 cupcakes at most

Step-by-step explanation:

If you divide 200 by 16, you get 16.667. Because .667 is not a full cupcake, you cannot round up to get 17 cupcakes.

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Answer:x=\frac{b-1}{a-d}

Step-by-step explanation:

Answer:

Step-by-step explanation:

that is incorrect.

if it were to be equal, one side should equal each other when multiplied to make the ratio equal.

20-5x=40-10x (when multiplied by 2 on each side)

It CANNOT equal 50, if it were there would not be -10x

20-5x=100-25x

DIVIDE BY 2 to get 50 WOULD GIVE:

20-5x=50-17.5x

Answer:

Yes

Step-by-step explanation:

solve the equation for x , then evaluate and compare both sides

20 - 5x = 50 - 10x ( add 10x to both sides )

20 + 5x = 50 ( subtract 20 from both sides )

5x = 30 ( divide both sides by 5 )

x = 6

then

left side = 20 - 5x = 20 - 5(6) = 20 - 30 = - 10

right side = 50 - 10x = 50 - 10(6) = 50 - 60 = - 10

since both sides are equal then

20 - 5x = 50 - 10x is true

Answer:

f(1/7) = 3 3/4 in simplest form.

Step-by-step explanation:

To find the value of f(1/7), we can substitute 1/7 for x in the function:

f(1/7) = -7/4 * 1/7 + 4

f(1/7) = -7/4 * 1/7 + 4

f(1/7) = -7/28 + 4

f(1/7) = 4 - 7/28

f(1/7) = 4 - 1/4

f(1/7) = 3 3/4

So f(1/7) = 3 3/4 in simplest form.

Domain of function is in Set Builder Notation is, {x | x ≥ 7 }.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = √(x-7) / (x³ + 1)

Now, We can find the domain of function as;

⇒ f (x) ≥ 0

⇒ √(x-7) / x³ + 1 ≥ 0

⇒ √ (x - 7) ≥ 0

⇒ x - 7 ≥ 0

⇒ x ≥ 7

Thus, Domain of function is in Set Builder Notation is, {x | x ≥ 7 }.

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If she makes 135 attempts, the number of throws will be 40.5 .

Number of free throws made by a basketball player varies directly with number of attempts the player has.  If she makes 12 out of 40 attempts, the amount of throws she will make during the season if she made 135 total attempts can be calculated as follows:

Therefore,

y ∝ x

y = kx

where

Therefore,

12 = 40k

k = 12 / 40

k = 6 / 20 = 3 / 10

Hence,

y = 3 / 10 × 135

y = 405 / 10

y = 40.5

Therefore, the number of throws will be 40.5.

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The answer is Relational operators, they are binary operators that evaluate the truthhood or falsehood of a relationship between any two arguments, and that produce  value of true (1) or false (0) as a result.

This is usually done by checking whether a variable is true or false. True values ​​are true values. For example Non-zero numbers, strings, and objects. Incorrect values ​​are the values ​​that correspond incorrectly. lets take 0, empty strings and undefined. By testing whether a variable is true or false, we can also determine whether it equals 1 or 0 without explicitly comparing it to 1 or 0.

This is a useful way to determine the value of a variable without having to write a comparison statement and useful way for determining the value of any variable without being written any comparison statement.

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[tex]\frac{s}{-2 + 10} = 13[/tex]

To solve this, we first remove any fraction. So we have to multiply "-2 + 10" on each sides:

[tex]s = 13(-2+10)\\s = 13(8)\\s = 104[/tex]

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