Find the distance of the line segment formed by (-3, 4) and (-2, 3)

Using a linear function, it is found that:

1. The elevation where the road begins is of 4800 feet.

2. The initial elevation is the intercept of the graph, that is, the value of y when the function crosses the y-axis.

A linear function, in slope-intercept format, is given according to the following rule:

y = mx + b

In which the coefficients are described as follows:

In the context of this problem, we are given two points:

(2, 5500) and (4, 6200).

The slope of the function is given by the change in y of these points divided by the change in x of these points, hence:

m = (6200 - 5500)/(4 - 2) = 350.

Hence:

y = 350x + b.

For both items, we need to find the intercept of the function, that is, the numeric value of y when the function crosses the y-axis(Item 2).

We have that when x = 2, y = 5500, hence the initial elevation of the road can be found as follows:

5500 = 350(2) + b

b = 5500 - 350(2)

b = 4800 feet.

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A fraction is a part of a whole. If Petra has 15 yards of fabric to make costumes for a play. If each costume requires 1 1/3 yards then she can make  costumes.

A fraction is a part of a whole.

Given that Petra has 15 yards of fabric to make costumes for a play.

To make a costume it requires  1 1/3 yards.

We have to find how many costumes she can make from 15 yards.

In this question 15 yards is whole and 1 1/3 is the part of it.

Convert 1 1/3 to a improper fraction

1 1/3 =4/3.

Now divide 15 by 4/3.

15/4/3

=15/1×3/4

Forty five divided by four.

=45/4

We get eleven point two five.

=11.25

Hence 11 costumes can she make from  yards of fabric.

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Alyssa spent $90 at her favorite shop.

It has to do with algebra.

the area of mathematics where numbers and quantities are represented in formulas and equations by letters and other generic symbols. There are several sub-branches of algebra, including commutative algebra, abstract algebra, linear algebra, and elementary algebra.

Alyssa currently possesses $144.

She spent 5/8 of that amount at her favorite store.

= (5 * 144) ÷ 8

After solving, we obtain the value $90.

As a result, Alyssa spent $90 at her favorite retailer.

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The measure of angle ∠NMP will be equal to 94 degrees.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. We can prove two triangles to be congruent using any of the four mentioned rules or criteria's

Given is ∠LMN = 43° and ∠LMN ≅ ∠OMP

Now, since it is given that ∠LMN ≅ ∠OMP, we can say that -

∠LMN = ∠OMP = 43°

Now, assume that ∠NMP equals to β°.

Since, LMO is a straight line, we can write -

∠LMN + ∠NMP + ∠OMP = 180°

43 + β + 43 = 180

β = 180 - 86

β = 94°

∠NMP = β = 94°

Therefore, the measure of angle ∠NMP will be equal to 94 degrees.

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[Refer to the image attached for complete question]

When function f(x) = x^3 + 1 compared to its parent f(x) = x^3, it shifted left by 1 unit.

According to the question, given that

function f(x) = x³ + 1 , compare to the parent function f(x) = x³

when function f(x) = x³ + 1  comparing to the parent function f(x) = x³

then shifted left 1 unit.

graph of the function given below

In mathematics, some graphs are frequently seen. As a result, these initial, widespread functions—which also comprise graphs of quadratic functions, square roots, absolute values, cubic, and cube roots—are referred to as parent graphs.

quadratic function graphing

The utmost power or square to which an unknown number or variable can be raised is known as a quadratic function. The parent graph of all other quadratic functions is the function y=x2 or f(x) = x2, which is a quadratic function.

A parabola is the name for any quadratic function's graph. The fundamental shape of a parabola is uniform.

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Answer:

Step-by-step explanation:

1/25 and then .2 and then 1/4

Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.

given:

A gallon of paint will cover about 300 square feet of wall space,a painting contractor needs to paint about 32,500 square feet of wall.

now we can  divide our paint area by 300 feet squared per gallon

gallons of paint needed = 32500 /300

= 108.33

since 0.33 is not sold at stores,we need 109 gallons of paint.

Hence Gallons of paint are needed to paint about 32,500 square feet of wall is 109 gallons.

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The equation of this straight line is equal to y = 3x.

In order to determine the equation of this line, we would first of all calculate its slope. Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

By critically observing the given graph, we can logically deduce the following points:

Point (x, y) = (0, 0)

Point (x, y) = (3, 9)

Substituting the given points into the formula, we have;

Slope = (9 - 0)/(3 - 0)

Slope = 9/3

Slope = 3

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

Note: The y-intercept of this graph is equal to zero (0).

Substituting the parameters into the equation of a straight line, we have;

y = 3x + 0

y = 3x

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Answer: 1.86667

Step-by-step explanation: i just looked  it so it might be wrong

Answer:

1360000x2

Step-by-step explanation:

Answer: 1,360,000

Step-by-step explanation: First solve the power of's. 10^2 is 100. 10^3 is 1000. Now do 3.4 x 100 which is 340. Then do 4 x 1000 which is 4000.

Now it is (340)(4000) When the parentheses are next to each other you need to multiply. When you do you get 1,360,000

Answer:

Larry has 10 Quarters, 5 Dimes and 2 Nickels.

Step-by-step explanation:

Since Larry has 5 Dimes, that's already 50 cents, with twice as many Quarters as Dimes, that gets him to a total of $3.00. But because he has 3 more Dimes than Nickels, he has 2 Nickels, leading to the correct answer of $3.10

The values of the function are 9 and 1.2 and the domain is -oo <x < oo

The equation of the function is given as

f(x) = 9(1.2)⁻ˣ

The above function is an exponential function.

An exponential function is represented as

f(x) = abˣ

Where

By comparison, we have

a = 9 and b = 1.2

This means that the function values are 9 and 1.2

Recall that the function is an exponential function.

The domain of an exponential function is the set of all real values

Hence, the domain of f(x) is the set of all real values

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The step that is Josefina next step is D. Use a straight edge to connect the four point.

The processes for building a square inscribed in a circle are as follows:

Make a circle with the center c.

Now, using a straightedge, draw the diameter of a circle.

Next, using a compass, draw a perpendicular bisector of the diameter and then, using a straightedge, locate the spots on the circle where the perpendicular bisector meets.

Then, using a straightedge, join the four points to form the needed square.

In conclusion, the correct option is D.

The complete question is written below.

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Complete question

Josefina is inscribing a square in a circle with center c. She first uses a straight edge to draw a diameter of the circle through the center. Then, using a compass and straight edge, she constructs the perpendicular bisector of the diameter forming another diameter. Which of these steps is her next step?

A. Open the compass to a width equal to the diameter of the circle.

B. Use a straight edge to extend the diameters outside the circle.

C. Open the compass to the distance between consecutive points on the circumference of the circle.

D. Use a straight edge to connect the four point

A logarithm is a power that requires a number to be raised to another power to get another number.

A logarithmic equation is an equation containing the logarithm of an expression involving variables. To solve the exponential equation first, see if you can write both sides of the equation as powers of the same number. A logarithm table is used to find the value of the logarithm function. The easiest way to find the value of a particular logarithmic function is to use a log table.

Richter Scale Earthquakes are measured on the Richter scale which is a base 10 logarithmic scale. This scale measures the magnitude of earthquakes. H. Amount of energy released in the process. Each increase on this scale increases the size by a factor of 10. Logarithmic scales are useful for quantifying relative changes in values ​​rather than absolute differences.

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Translating verbal expressions into algebraic expression is 8 - x²

An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.). Terms combine to form expressions. A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. the sum of 8 and 3, for instance. Example sentence: The result of adding 8 and 3 is 11.

Given Data

Eight taken away from a number squared

Translating verbal expressions into algebraic expression:

Let number squared be x

8 - x²

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Answer:

If the question was find the value of a when a equal -2, then the answer is a = -2

Taking into account the definition of a system of linear equations, the coffee distributor needs to mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.

A system of linear equations is just a set of two or more linear equations with the same unknowns, of which a common solution needs to be found. That is, the solution is a point (x,y) that satisfies both equations.

In other words, a system of equations is a set of related equations by means of the same variables in which the values of said unknowns must be sought, with which, when replaced, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know:

The system of equations to be solved is

o + h= 30

o9.10 + h12.10= 10.10×30

There are several methods to solve a system of equations, it is decided to solve it using the substitution method. This method consists of, having a system that has two equations with two unknowns, isolating one of the unknowns of one of the equations and substituting the expression obtained in the other. You can choose any of the variables and any of the equations. In this way, the value of one of the variables is obtained, which when replaced in the expression obtained in the first step, the other variable is obtained.

In this case, isolating the variable "o" from the first equation:

o=30 -h

Replacing this expression in the second equation:

(30 - h)×9.10 + h12.10= 10.10×30

Solving:

30×9.10 - h9.10 + h12.10= 10.10×30

273  - h9.10 + h12.10= 303

- h9.10 + h12.10= 303 - 273

3h= 30

h= 30÷ 3

h= 10

Remembering that o=30-h, you get:

o= 30 -10

o= 20

This means that they should mix 10 pounds of House coffee blend and 20 pounds of Organic Free Trade coffee blend.

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An hour later, the number of bacteria in the population was 6656.

To solve the how many bacteria are there in the population, use the exponential growth function.

Exponential growth and decay functions are written in standard form as

A = A₀•b^kt

where A =  final amount

A₀ = initial amount = 104

b = growth factor = 2

k = growth rate = 1/10 minutes

t = time = 1 hour = 60 minutes

Plug in the values to the equation and solve for the final amount, A.

A = A₀•b^kt

A = 104•(2)^(1/10 minutes)(60 minutes)

A = 104•(2)^(6)

A = 104•64

A = 6656

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The equation to represent the number of Calories in any number

of grams of trail mix is C = 3x where, c = no. of calories and x = no. of grams of trail mix.

What is calorie?

The term "calorie" with the symbol "cal" generally refer to the big unit in nutrition and food science. It is typical practice to describe the energy content of foods in terms of serving size or weight, the recommended daily calorie intake, metabolic rates, etc. on package labels and in publications. To prevent misunderstanding, some authors advise using the capital C-spelled terms Calorie and Cal instead of other terms. This standard, however, is frequently disregarded.

We can see in the table that 50 grams pf trail mix contain 150 calories.

So, calories in 1 gram = total calories/total grams

calories in 1 gram = 150/50

calories in 1 gram = 3

Now lets take x as a number of grams taken:

So, Total calories in x grams of trail mix = 3x

So, the required equation is:

C = 3x

Where, C = no. of calories in x grams of trail mix.

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Answer:

Table A

Step-by-step explanation:

Table A because there is a pattern and proportion relation shop has patterns

Option A, p V q is the correct answer. We can also say it as p union q.

What do you mean by union in mathematics?

The set containing all the elements in a collection of sets is referred to as the union (denoted by ) in set theory. It is one of the fundamental operations that allows sets to be joined together and connected to one another. A union of zero (0) sets is referred to as a nullary union, because it is by definition equivalent to the empty set.

The diagram shown below represents two statements which are p and q.

Here in the diagram,

A covers the region in which only p is true.

B covers the region in which both p and q are true.

C covers the region in which only q is true.

The combine region of A, B, and C covers the region in which either p is true or q is true.

Therefore the region of A, B, and C is the union of p and q. It can be written as p v q or p ∪ q.

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To find the values of b that make the statement true you solve the equation for b:

Multiply both sides of the equation by b:

Multiply both sides of the equation by 30/7

Answer:

Step-by-step explanation: 12 ft just had a test on this

Answer: u = 1/24

Step-by-step explanation:

-7/8u = -21

Multiply both sides by 8u

(8u) -7/8u = -21 (8u)

-7 = -21 (8u)

Divide by -21

-7/-21 = 8u

1/3 = 8u

Divide by 8

(1/3)/8 = u

When dividing fractions, flip and multiply

(1/3) (1/8) = u

u = 1/24

It works if you plug it back in, hope this helps

Answer:

32

Step-by-step explanation:

you just keep adding 6, simple :)

Answer:

32

Step-by-step explanation:

pattern: +6

∴ next number in pattern = 26 + 6

                                          = 32

we have that

A quadratic equation that will have a solution of only x = 0 is given by the equation

Answer:

-0.009

Step-by-step explanation:

put it on desmos

Answer:

x = 180-35 = 145

y = 35

Hope it helps