Write an equation of the line that passes through the given points.
(-1,5) and (2,-7)
The equation is _______. (Type your answer in slope-intercept form.)

The expressions that use to find the price of the stock on any one of those days could be D. 45-2d

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given that On Monday, the price of a share of stock was $45. It fell $2 each day for 12 consecutive days.

The price of a share of stock = $45

Common difference = -2.

The expression that represent the situation is

45-2d

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Answer:
20/3 to the nearest whole number = 6

Step-by-step explanation:

The decimal number version is 6.6 but its just a whole number so its 6.
you take 20 and divide by 3 to get your anwser for this btw :)
Hope this helps :)

Answer:

Let x = Eric's checking account balance

Let y = Eric's savings account balance

x + y ≥ 600

To be a viable solution in this context, the x and y values must both be rounded to two decimal places.

x = -275.00, y = 957.23

-275.00 + 957.23 ≥ 600

682.23 ≥ 600

Yes, Eric meets the minimum requirement for the loan.

Answer: hot

Step-by-step explanation: hot

Tom's pencil is 3x + 10cm longer  than Ellen's.

What is arithmetic operation?

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators.

For all real numbers, the four fundamental arithmetic operations in mathematics are: Finding the sum in addition ('+') Subtraction (Difference-finding; "-" Multiplication (Identifying the result; "x" Finding the quotient in division (÷).

Given:

Ellen has a pencil 2x+15cm long.

Tom has a pencil 5x+25cm long.

We have to find how much longer is Tom's pencil than Ellen's.

This is calculated as:

Length of Tom's pencil - Length is Ellen's pencil

Length of Tom's pencil: 5x+25cm long.

Length of Ellen's pencil : 2x+15cm long.

= (5x + 25)cm - (2x + 15)cm

= 5x + 25 - 2x - 15

= 5x - 2x + 25 - 15

= 3x + 10 cm

Therefore, Tom's pencil is 3x + 10cm longer  than Ellen's.

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The inequality which correctly supports Fabian's claim as described above is; 0.25 × 100 > 0.1 × 80.

The inequality which shows that Fabian's claim as described above is incorrect is; 0.25 × 100 > 0.1 × 1000.

To start with, in a bid to write the given word phrase which happens to be Fabian's claim as an algebraic expression; we have that;

Let x be the first number and let y be the second number.

On this note, we have that;

( 25% × x ) > ( 10% × y )

0.25x > 0.1y

Consequently, the complete inequality which supports Fabian's claim is when x = 100 and y = 80 so that we have;

0.25 × 100 > 0.1 × 80; 25 > 8 which holds true.

Aslo, The inequality which shows that he is incorrect is; when x = 100 and y = 1000 so that we have;

0.25 × 100 > 0.1 × 1000; 25 > 100 which does not hold true.

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Tito has to run 3(3/4) miles more than walk.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Distance run = 4 miles

Distance walked = 1/4 mile

The difference between the distance run and walked.

= 4 - 1/4

= (16 - 1)/4

= 15/4

= 3(3/4) miles

Thus,

3(3/4) miles more were run.

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The complete question is:

John ran 4 miles and walked 1/4 of a mile. How much farther did John run than walk?

After figuring out the answer to the above question, we can state that: v = 60 X (4.5 / 7.5), v = 36, 36 Liters in the equation.

A mathematical equation is a formula that joins two statements with the equal sign, or =, to represent equality. A mathematical statement demonstrating the equivalence of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14. All mathematical formulas, including equations, contain an equal sign. Algebra is frequently utilized in equations. When calculating a number in mathematics without knowing its exact value, algebra is used.

[tex]12.5 X (60 - v) + 20v= 17.60\\7.5v = 17.70 - 12.5 X 60\\v= 60 X ( 4.5 / 7.5)\\v = 36\\36 Liters[/tex]

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Answer:

7 < n < 47

Step-by-step explanation:

given 2 sides of a triangle then the third side n is in the interval

difference of 2 sides < n < sum of 2 sides , that is

27 - 20 < n < 27 + 20

7 < n < 47

Answer:

1. 5m - 10

2. 18p - 1

3. 48x + 6

4. -5(7x+ 6)

5. 18y - 3

6. 3.2z + 0.64

7. 2(4w - 16)

8. 2.2(x + 1)

9. 100z² - 538

24

10. — y³

4

and pls mark brainliest

Answer:

------------------------------------------

Initial volume of gas was 4 gallons.

The volume of gas pumped into tank after s seconds was:

The total volume of gas become:

the answer is 2 .

2 is the coefficient of y= 2x²+x-1

The following measurements on a semi circle are

m< S = 47 degree

m< U = 90

x = 6.78

The angle inscribed on a semicircle is equal to 90 degrees. This makes the triangle SUT a right triangle

The angle at U is the inscribed angle and this is equal to 90 degrees

m< U = 90 degrees

m< S + m< U + m< T = 180 - sum of angle o a triangle

m< S = (9x - 14)

m< U = 90

m< T = 43

substitute the values

9x - 14 + 90 + 43 = 180

9x - 14 = 180 - 90 - 43

9x - 14 = 47

9x = 47 + 14

9x = 61

x = 61/9

x is solved to be 61/9

m< S = 9x - 14

substitute the value of x

m< S = 9 * 61/9 - 14

m< S = 47 degree

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The inequality expression 3x - 3 ≥ 9 with unknown value of x is solved to get  x ≥ 4

Inequality refers to a way of representing relationships between variables at the left hand side of equation to the variables to the right hand side of an equation.

The signs used in inequality are of 4 types namely

In the problem, the sign used is greater than or equal to the solution is as follows

3x - 3 ≥ 9

3x ≥ 9 + 3

3x ≥ 12

x ≥ 4

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The ratio of the shapes' perimeters and areas are 2/3 and 4/9 respectively

In order for two shapes to be similar, the corresponding angles of the shapes must be congruent and the ratios of corresponding sides must be equal.

If the two shapes are similar, then the ratio of their perimeters will be equal to the ratio of the corresponding side lengths, and the ratio of their areas will be equal to the square of the ratio of the corresponding side lengths.

Thus, in this case, we have:

Ratio of perimeter = 12/18 = 2/3

Ratio of area = 12²/18² = 4/9

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Answer:

Rotation

Reflection

Translation

Rotation

Step-by-step explanation:

A rotation is a turn.

A reflection is a flip

A translation is a slide.

On solving the provided question, we can say that frequency distribution minimum 40 to max 114

In order to make the information easier to understand, frequencies are organized into frequency distributions, which are visual displays. The frequencies displayed in a frequency distribution can be absolute or relative, like ratios or percentages. Both a graph and a table of frequencies can be used to represent a frequency distribution. Both the exact number of observations and the proportion of observations falling within each range can be displayed in a frequency distribution. A relative frequency distribution is the name given to the distribution in the latter scenario. The frequency of an observation is the frequency with which it appears in the data. The frequency of the number 9 in the following list of numbers, for instance, is 5. (because it occurs 5 times). 1, 2, 3, 4, 6, 9, 9, 8, 5, 1, 1, 9,

the class width for a frequency table with seven classes -

(114-40)/7 = 74/7 = 10 4/7 = class width with 7 classes from minimum 40 to max 114

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The required equation is

Percent Remaining = (100 grams) * (0.5)^(12 weeks / 6 weeks)

Generally, The equation that determines the percent of an initial amount of a radioisotope remaining after t weeks is:

Percent Remaining = (Initial Amount) * (0.5)^(t/Half-Life)

In this equation, "Initial Amount" is the amount of the radioisotope at the start of the time period being considered (for example, at the start of the autopsy).

"Half-Life" is the length of time it takes for half of the radioisotope to decay.

"t" is the length of time that has passed since the start of the time period being considered.

The term (0.5)^(t/Half-Life) represents the fraction of the initial amount of the radioisotope that remains after t weeks.  This term is called the decay constant.

It is raised to the power of t/Half-Life because the decay constant is the fraction of the radioisotope that remains after one half-life.

If t is equal to the half-life, then the decay constant is raised to the power of 1, which is equal to itself.

If t is twice the half-life, then the decay constant is raised to the power of 2, which means that only a quarter of the initial amount remains.

For the radioisotope Xenos-6, the half-life is 6 weeks. Using the equation above, we can determine the percent of the initial amount of Xenos-6 remaining after any number of weeks by plugging in the appropriate values.

For example, if we have an initial amount of 100 grams of Xenos-6 and we want to know the percent remaining after 12 weeks, we would plug in the values like this:

Percent Remaining = (100 grams) * (0.5)^(12 weeks / 6 weeks)

This would give us a result of 25%, which means that 25 grams of Xenos-6 would remain after 12 weeks.

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48% percent of the students in the school are boys.

What is arithmetic?

Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addition, subtraction, multiplication, division, exponentiation, and root extraction.

Here, we have

Given: There are 240 boys at Grover Cleveland Middle School. There are 260 girls at the school.

We have to calculate the percentage of the students in the school who are boys.

Boys = 240

Girls = 260

% of boys = (240/500)×100

% of boys = 48%

Hence, 48% percent of the students in the school are boys.

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Answer:

Step-by-step explanation:

The number which is a perfect cube among the given options is 27, which is option (b).

Given are some numbers.

It is required to find the number which is the perfect cube.

Now first, understand what numbers can be classified under the group of perfect cubes.

Perfect cubes are numbers that are formed by multiplying any number by itself 3 times.

That is, a number x is a perfect cube if there exists another number y such that:

x = y × y × y

x = y³

Here, from the given options:

27 = 9 × 3

    = 3× 3 × 3

That is, 27 is a perfect cube.

Hence, the correct option is (b).

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Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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Option (B): Return on investment is a measure of the efficiency of an investment.

What is meant by return on investment?

A ratio between net income and investment is known as return on investment or return on costs. A high ROI indicates that the returns on the investment outweigh the costs. ROI is used as a performance metric to assess an investment's efficiency or to compare the effectiveness of multiple distinct investments.

Investment efficiency is an essential topic because firms with better investment efficiency are related to reduced agency problems which suggests that aligning the interest of management and shareholders of the firms minimises the risk of deviating from the expected level of investment.

Therefore the return on investment gives the measure of the efficiency of an investment.

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Answer:

≈ 113.16

Step-by-step explanation:

The circumference of a circle (the distance around) is equal to [tex]\pi[/tex] * diameter

[tex]\pi * diameter = 37.7[/tex]

[tex]\frac{\pi }{\pi } *diameter = \frac{37.7}{\pi }[/tex]

diameter = 12.006

radius = diameter / 2

radius = 6.003

The area of a circle is [tex]\pi r^{2}[/tex]

[tex]\pi 6.003^{2}[/tex]

= 113.16

On solving the provided question, we can say that - the area of the triangle is - A = 1/2 X 10X 20 = 100 mm sq.

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

here,

b = 10 mm

H = 20 mm

A = 1/2 X B X H

A = 1/2 X 10 X20

A = 100 mm sq.

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Emma is planning to cut 5 pieces of yarn and she should make each piece 7 inches long.

The acts of simplifying something to make it simpler to perform or comprehend, or the item that is simplified: The group offers guidance on streamlining trade processes.

Given, Emma is using this bar model to plan to cut 35 inches of yarn into equal pieces. As we can see in the picture she is planning to cut 5 pieces

Size of each  yarn  = 35/5 = 7

Therefore, Emma intends to cut five pieces of yarn, each measuring seven inches.

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As per the given dimensions of cone in the figure, the Lateral area for the given cone is 123.15 [tex]in^2[/tex] and the surface area is 173.41[tex]in^2[/tex].

A cone is a characteristic three-dimensional geometric shape with a smooth and curving surface that is directed upward ,in mathematics.

What is the lateral surface area of a cone?

The area that the cone's curved surface covers is known as the lateral area of the cone. It is also known as the cone's curved surface area (CSA) or lateral surface area (LSA).

To solve the given question, we first need to use the pythagorus theorem in triangle made by the lateral slant height, actual height and the radius of the given cone,

Hence the pythagorus theorem gives,

[tex]9.8=\sqrt{h^2+4^2}[/tex]where h is the height of the cone.

Now Using the formula for Lateral surface area of the cone,

LSA = [tex]\pi *r=\sqrt{h^2+4^2}[/tex] where , h is height and r =4 in

Hence LSA = 123.15  [tex]in^2[/tex]

Again, Using the formula for Surface area of a cone,

SA = [tex]\pi *r(r+\sqrt{r^2+h^2}[/tex] , where h is height of cone and r = 4in

Hence , SA =  173.41 [tex]in^2[/tex].

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Since (0.9)×(0.3) is not equal to 0.25, then the two events are not independent.

If the occurrence of one event has no bearing on the likelihood that the other will also occur, then the two events are independent.

Events are said to be independent when the probability of the events occurring, is equal to the product of the probabilities of the events occurring.

This means that if the probability of rain and thunderstorms are multiplied, they should equal 25 % or they won't be independent:

= ( 0. 9 x 0. 3)

= 0. 27

The events are therefore not independent.

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The length of the shorter side of the parallelogram is 39.5 inches.

A closed shape's perimeter is the sum of the lengths of its outside boundaries. The lengths of all the sides are added to determine the measurement.

Given;

The perimeter of a parallelogram is equal to the perimeter of a triangle with side lengths of 56 inches, 56 inches, and 99 inches.

The perimeter of the triangle,

= 56 + 56 + 99

= 211 inches.

And the perimeter of the parallelogram = The perimeter of the triangle.

Let x be the shorter side of the parallelogram.

Then,

2 (x+66) = 211

2x + 132 = 211

2x = 211-132

x = 79/2

x = 39.5 inches.

Therefore, the shorter side is 39.5 inches.

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Each expression should be matched to the correct location on the table as follows;

(2 · 3⁻²)³ (5·3²)²/(3⁻²)(5·2)² = 2.

(3³)(4⁰)²(3·2)⁻³(2²) = 1/2.

(3⁷· 4⁷)(2·5)⁻³(5)²/(12⁷)(5⁻¹)(2⁻⁴) = 2.

(2.3)⁻¹ (2⁰)/(2 . 3)⁻¹ = 1.

In order to match each exponential expression to the correct location on the table, we would have to simplify each exponential expression by using the properties of exponents as follows;

(2 · 3⁻²)³ (5·3²)²/(3⁻²)(5·2)² = (2³)(3⁻⁶)(5²)(3⁴)/(3⁻²) (10²)

(2³)(3⁻⁶)(5²)(3⁴)/(3⁻²) (10²) = (2.2².5²) (3⁻⁶.3⁴)/(3⁻²) (10²)

(2.2².5²) (3⁻⁶.3⁴)/(3⁻²) (10²) = (2)(10²)(3⁻²)/(3⁻²) (10²)

(2)(10²)(3⁻²)/(3⁻²) (10²) = 2

Exponential expression 2:

(3³)(4⁰)²(3·2)⁻³(2²) = (3^3)(1^2) (3^-3)(2^-3) (2^2)

(3^3)(1^2)(3^-3) (2^-3) (2^2) = (2^(-3 + 2))

(2^(-3 + 2)) = 2^-1

2^-1 = 1/2

Note: A number with an exponent of 0 is equal to 1.

Exponential expression 3:

(3⁷· 4⁷)(2·5)⁻³(5)²/(12⁷)(5⁻¹)(2⁻⁴) = (12⁷)(2⁻³)(5⁻³)(5²)/(12⁷)(5⁻¹)(2⁻⁴)

(12⁷)(2⁻³)(5⁻³)(5²)/(12⁷)(5⁻¹)(2⁻⁴) = (2⁻³)(5^(-3 + 2))/(5⁻¹)(2⁻⁴)

(2⁻³)(5^(-3 + 2))/(5⁻¹)(2⁻⁴) = (2⁻³)(5⁻¹)/(5⁻¹)(2⁻⁴)

(2⁻³)(5⁻¹)/(5⁻¹)(2⁻⁴) = 1/2⁻¹

1/2⁻¹ = 2

Exponential expression 4:

(2.3)⁻¹ (2⁰)/(2 . 3)⁻¹ = 2⁰

2⁰ = 1

Note: You should multiply numbers that have the same exponent and add exponents with the same base.

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