8t^2-14t+3 factored to (at-1) (bt+c)

Answer: It would look like this, and your equation is y = 0.5x + 0 or just y = 0.5x, you are supposed to connect the dots, as it is a linear equation with a continuous run

Step-by-step explanation:

I hope this helps!

The sum law of limits is the total of their limits equals the limit of the sum of functions. It is also referred to as the addition rule of limits and is known as the sum rule of limitations.

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

The limit of the sum of two functions is equal to the total of the limits of two functions, according to the sum law for limits.

[tex]\lim_{x \to \} a (f(x)+g(x))[/tex]

= L + M

Objective of Sum of limits are:

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The new mean of the data-set, with the observation 2 removed, is given as follows:

12.67 attempts.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Removing the observation 2, the data-set is given as follows:

11, 11, 11, 12, 13, 13, 14, 14, 15.

The sum of all these observations is given as follows:

3 x 11 + 12 + 2 x 13 + 2 x 14 + 15 = 114.

There are nine observations, hence the mean of these observations is given as follows:

114/9 = 12.67.

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Answer:

-7[tex]x^{2}[/tex] - 35x - 42

Step-by-step explanation:

-7(x+3)(x+2)

(-7x - 21) ( x + 2)

-7[tex]x^{2}[/tex] - 14x - 21x - 42

-7[tex]x^{2}[/tex] - 35x - 42

Answer:

Step-by-step explanation:

y=-7(x+3)(x+2)

y=(-7x - 21) ( x + 2)

y=-7 - 14x - 21x - 42

y=-7 - 35x - 42

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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The first waiter with $60 tips share $15 dollar to the second waiter and the second waiter with $80 share $20 to the first waiter.

As per data given is two different earned from tips, there will be two different amount of share from each. For a waiter that earned $60 from tip, the share will be:

First waiter share = tips earned x 1/4

First waiter share = $60 x 1/4

First waiter share = $60 x 0.25

First waiter share = $15

The share of the second waiter that earned $80 from tip will be:

Second waiter share = tips earned x 1/4

Second waiter share = $80 x 1/4

Second waiter share = $80 x 0.25

Second waiter share = $20

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No there is not enough information

Answer: Disagree.

Step-by-step explanation:

Dividend = 36

Divisor = 13

36 (Dividend) ÷ 13 (Divisor) = 2 (Quotient)

Remainder = 10

Rules of division indicate,

Quotient < Dividend

Here too, 2 < 36

Thus, the answer to 36÷13 does NOT represent a number greater than 36.

Triangle ABC and triangle DEF are not congruent.

What does a math congruent mean?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

The measure of angle A and angle D are both 40 degrees, but the measure of angle B and angle F are not equal. The measure of angle B is 20 degrees, while the measure of angle F is 120 degrees.

In a triangle, the sum of all three angles is 180 degrees. So in triangle ABC, the measure of angle C is 180-40-20 = 120 degrees.

In triangle DEF, the measure of angle E is 180-40-120 = 20 degrees.

Therefore, angle B and angle E are not congruent, so the triangles are not congruent.

In order for two triangles to be congruent, they must have corresponding sides and angles of the same measure. Since the measure of angle B and angle E are not equal, then triangle ABC and triangle DEF are not congruent.

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Answer:5 pieces

Step-by-step explanation:

4/0.8=5

I have left 6 mangoes after I got 5 extra from father and mother ate 2

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating how many mangoes I have after I got 5 from my father:

No. mangoes 1 = Have + got

No. mangoes 1 = 3 mangoes + 5 mangoes

No. mangoes 1 = 8 mangoes

Calculating how many mangoes I have after my mother ate 2 mangoes:

Final No. mangoes = No. mangoes 1  - eat

Final No. mangoes = 8 mangoes - 2 mangoes

Final No. mangoes = 6 mangoes

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The distance between two places cab be found using distance formula if you know the coordinates of the places.

The distance formula is a mathematical equation that can be used to find the distance between two points in a two-dimensional or three-dimensional space. The formula is as follows:

Distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Where x₁, y₁, and z₁ are the coordinates of the first point and x₂, y₂, and z₂ are the coordinates of the second point. The formula is based on the Pythagorean theorem, which states that the square of the distance between two points is equal to the sum of the squares of the differences in their coordinates.

For example, if you have the coordinates of two places on a map, you can use the distance formula to calculate the distance between them. Let's say the coordinates of place A are (x₁, y₁) = (4, 5) and the coordinates of place B are (x₂, y₂) = (9, 12). The distance between place A and place B would be:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

= √((9 - 4)² + (12 - 5)²)

= √(5² + 7²)

= √(25 + 49)

= √(74)

= 8.6

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Answer:

the requisite answer for this question is 10 meter.

Step-by-step explanation:

the analysis for this question's answer is as follows:

since, he has a 50 meter long role of cable, correct to the nearest meter,with him and also he uses 10 meter of that role each time during his job to the nearest meter.

therefore, if he does four jobs then the maximum amount of cable that could be left with him would be;

he took (40-m) to finish the entire work,

this simplifies, 50-(10×4) which is equal to 50-40 which in turn is equal to 10

hence, the solution to the afore-mentioned problem is 10 meters.

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If the graph doesn't go through the origin (0,0), the relationship is not a proportional one.

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Answer:

136 acres

Solution:

My way of doing this is by putting it in a fraction.

So,

0.2/100 × 68000/1 = x

Do the math and x = 136

Answer:

Yes, an acute angle is an angle that measures less than 90 degrees.

Step-by-step explanation:

The ratio of e:f from 2 different squares are 1.2:1.

From the case, we have 2 squares that:

Square E side = e

Square F side = f

Area of E = (1 + 44%) Area of F

Using the area of square formula, we know that:

Area of square = side x side

Area of square = side²

Area of E = e x e

Area of E = e²

Area of F = f x f

Area of F = f²

We will compare the area of both squares:

Area of E = (1 + 44%)Area of F

e² = (1 + 44%) f²

e² = 1.44 f²

√e² = √(1.44 f²)

e = 1.2 f

Hence the ratio of e : f would be:

e : f = 1.2f : f

e : f = 1.2 : 1

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The probability that the spinner lands on an odd number and then a shaded number is given as follows:

5/12.

A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.

The probabilities of each event in this problem is given as follows:

Hence the probability that the spinner lands on an odd number and then a shaded number is calculated as follows:

p = 1/2 x 5/6 = 5/12.

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The axis of symmetry line passes through the vertex of the parabola.

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According to the presented question, m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, then m∢PSQ equals 97.

Supplementary angles are a pair of angles that always sum to 180 degrees. These two viewpoints are referred to as complements to one another. The English word "supplementary" is derived from the Latin words "Supplere" and "Plere," which respectively mean "supply" and "fill." As a result, the term "supplementary" designates something that is added to complete a task.

In this lesson, we will study about supplementary angles and how they can be applied to various geometry problems. As we explore supplementary angles, we'll discover how they differ from complimentary angles.

We know that the measure of an angle is supplementary to its adjacent angle. That means that the measure of an angle and its adjacent angle add up to 180 degrees.

Given that m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, we can set up the equation:

m∢PSQ + m∢PRQ = 180

Plug in the values for the angles:

(3y - 15) + (2y + 15) = 180

Simplifying, we get:

5y = 180

Now we can find the value of y by dividing both sides by 5:

y = 36

Therefore, m∢PSQ = 3y - 15 = 3(36) - 15 = 97

So, the measure of angle PSQ is 97 degrees.

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According to the presented question, m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, then the measure of angle PSQ equals 97.

Supplementary angles are a pair of angles that always sum to 180 degrees. These two viewpoints are referred to as complements of one another. The English word "supplementary" is derived from the Latin words "Supplere" and "Plere," which respectively mean "supply" and "fill." As a result, the term "supplementary" designates something that is added to complete a task.

In this lesson, we will study about supplementary angles and how they can be applied to various geometry problems. As we explore supplementary angles, we'll discover how they differ from complementary angles.

We know that the measure of an angle is supplementary to its adjacent angle. That means that the measure of an angle and its adjacent angle add up to 180 degrees.

Given that m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, we can set up the equation:

m∢PSQ + m∢PRQ = 180

Plug in the values for the angles:

(3y - 15) + (2y + 15) = 180

Simplifying, we get:

5y = 180

Now we can find the value of y by dividing both sides by 5:

y = 36

Therefore, m∢PSQ = 3y - 15 = 3(36) - 15 = 97

So, the measure of angle PSQ is 97 degrees.

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To solve nth problems we use the formula stated as  aₙ = a + (n – 1)d.

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression (AP). A formula for the nth term of the AP could be derived from this kind of progression. Because it follows a pattern where each number is acquired by adding 4 to the preceding term, the sequence 2, 6, 10, 14,... is an example of an arithmetic progression (AP). In this series, the nth term equals 4n-2. By changing the nth term to n=1,2,3,..., the sequence's terms can be obtained. i.e.,

First term when n = 1 is 4n-2 = 4. (1)

-2 = 4-2=2

second term = 4n-2 = 4 when n = 2 (2)

-2 = 8-2=6

The third term is 4n-2 = 4 for n = 3. (3)

-2 = 12-2=10

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To solve the expression 9 - 12 + 6/-3 + 3(-3) first do the operation of division, i.e. option B: 6/-3.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The given expression is - 9 - 12 + 6/-3 + 3(-3)

Follow the BODMAS rule to solve the expression.

BODMAS = Bracket Of Division Multiplication Addition and Subtraction

The first step is to solve the bracket -

= 9 - 12 + 6/-3 + 3(-3)

= 9 - 12 + 6/-3 - 9

The next step is to solve the division -

= 9 - 12 + 6/-3 - 9

= 9 - 12 -2 - 9

The next step is to solve the addition and subtraction -

= 9 - 12 - 2 - 9

= 9 - 23

= -14

Therefore, the value of the expression is obtained as -14.

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Principal, P = $ 300,000

Rate, R =  20%

Time, T = 30 years

The down payment would be 300,000 x 20% = $60,000.

The principal for the home loan after the down payment would be 300,000 - 60,000 = $240,000.

The total amount owed to the bank including principal and interest would be 240,000 + 232200 = $462200.

To calculate the monthly payment for a 30 year mortgage, you would use the formula:

(principal + interest) / (number of months in 30 years)

which would be ($462200) / (360 months) = $1283.33

To calculate the total monthly cost including another 300 per month for taxes and 150 per month for insurance, you would add the mortgage payment to the additional costs:

1283.33 + 300 + 150 = $1733.33.

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Answer:

B) Sample. There are too many to count.

Step-by-step explanation:

You can only check a portion of all the fish. It would take too much work and manpower to check every single fish.

Answer:

5

Step-by-step explanation:

I assume the ratio is 1:3.

We need a total of 20 candies, and we need the number of sweet candy to be 3 times the number of sour candy.

Start guessing the number of sour candy with 1. Then find the number of sweet candy. Then find the sum. Keep going up with the guess until it works.

Sour      Sweet        Sum      Comment

1              3                4           too low

2             6                8           too low

3             9                12           too low

4             12               16          too low

5             15               20         exactly right

Answer: 5

Answer:

b

Step-by-step explanation:

The mathematical expressions in order of their values from least to greatest will be

(8.32 x 10⁴)/(7.56 x 10¹¹) · (9.67 x 10¹)/(5.79 x 10⁻⁸)

(7.25 x 10⁵)/(7.95 x 10⁻²) · (9.36 x 10⁻⁷)/(4.13 x 10⁻³)

(4.27 x 10⁸)·(9.2 x 10⁻⁵)

(6.96 x 10⁵)·(8.43x 10⁻²)

(1.89 x 10⁴)/(2.74 x 10⁻²) · (5.92 x 10³)/(4.67 x 10²)

The following mathematical expressions are written in their scientific notation, a way of expressing numbers that are too large or too small to be conveniently written in decimal form. In scientific notation, a number is represented as a coefficient (a number between 1 and 10) multiplied by a power of 10.

To multiply scientific notation/expressions, you need to:

1. Multiply the numerical coefficients.

2. Add the exponents of the bases (usually "10").

The opposite goes to division, where the numerical coefficients are divided and the exponents are subtracted.

(4.27 x 10⁸)·(9.2 x 10⁻⁵)

39.284 x 10³

3.9284 x 10⁴

(6.96 x 10⁵)·(8.43x 10⁻²)

58.6728 x 10³

5.86728 x 10⁴

(7.25 x 10⁵)/(7.95 x 10⁻²) · (9.36 x 10⁻⁷)/(4.13 x 10⁻³)

(9.12 x 10⁶) · (2.27 x 10⁻⁴)

2.061 x 10³

(8.32 x 10⁴)/(7.56 x 10¹¹) · (9.67 x 10¹)/(5.79 x 10⁻⁸)

(1.10 x 10⁻⁷) · (1.67 x 10⁹)

1.84 x 10²

(1.89 x 10⁴)/(2.74 x 10⁻²) · (5.92 x 10³)/(4.67 x 10²)

(6.90 x 10⁵) · (1.27 x 10¹)

8.86 x 10⁶

Rearranging these values from least to greatest, we have

1.84 x 10², 2.061 x 10³, 3.9284 x 10⁴, 5.86728 x 10⁴, 8.86 x 10⁶

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A basic log graph is a line graph that plots logarithmic data points plotted on a logarithmic scale.

The x-axis of the graph is the logarithmic scale, and the y-axis is the data points.

The points are plotted in a straight line, making it easy to see how the data points change as the logarithmic scale increases or decreases.

On the exponential f, identify several locations (x). The graph will look better the more points we plot.

A  two-dimensional graph of numerical data using logarithmic scales on both the horizontal and vertical axes is known as a log-log graph or log-log plot.

In order to obtain points on the inverse, swap the x and y variables. Discover the asymptote. The ensuing logarithmic functions should be plotted. the domain and the range.

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The slope of the line perpendicular to the line y = ( -1/4 )x - 1 is m₂ = 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = ( -1/4 )x - 1   be equation (1)

The slope of the line is m₁ = ( -1/4 )

Now , the product of the slopes of perpendicular lines is -1

So , m₁ x m₂ = -1

Substituting the values in the equation , we get

( -1/4 ) x m₂ = -1

m₂ = 4

So , the slope of the line perpendicular to the line A is m₂ = 4

Hence , the slope of the line is m₂ = 4

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The surface area of the rectangular prism, as a function of x, is given by:

A = 2*( (x - 2)*(x + 4) + (x + 4)*(2x + 1) + (x - 2)*(2x + 1))

For a prism whose dimensions are X, Y, and Z, the surface area is:

A = 2*(X*Y + X*Z + Z*Y)

In this case we know that the dimensions of the rectangular prism are:

X = x - 2

Y  =x + 4

Z = 2x + 1

Replacing that on the surface area equation we will get:

A = 2*( (x - 2)*(x + 4) + (x + 4)*(2x + 1) + (x - 2)*(2x + 1))

That equation gives the surface area as a function of x.

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