2.83 in expanded form

The rate at which the candle burn in inch's per hour is 1/4 inches per hour

The rate is how fast the candle burns with the passage of time. It is the height of the candle divided by the time it takes the candle to burin down.

Division is the process of grouping a number into equal parts using another number. The sign used to represent division is ÷. Division is one of the basic mathematical operations.

Rate = height / time it take the candle to burn down

2 / 8 = 1/4 inches per hour

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Answer:

1/4

Step-by-step explanation:

?

The three  Lera, Victor and Oksana will meet in the pool again in 60 days

The question is solved using the concept of Least common multiple: The Least common multiple refers to the least multiple that 12, 10, and 4 have in common

we therefore solve the LCM as follows

2 | 12, 4, 10

2 | 6,  2,  5

3 | 3,  1,   5

5 | 1,   1,   5

 | 1,  1,   1

=  2 * 2 * 3 * 5

=   60

From the calculation the numbers 4, 10, 12 have a least common multiple of 60. Therefore the Lera, Victor and Oksana will meet in the swimming pool 60 days.

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The y-intercept of 5x+4y=-40 is (0,-10 )

A quadratic equation is expressed in its standard form as y=ax2+bx+c, where x and y are variables and a, b, and c are well-known constants. Substitute 0 for x in a quadratic equation and solve to obtain the y-intercept. The value of c in the equation is always the value of the y-intercept.

Given equation :

5x+4y=-40

To find x-intercept substitute 0 in y and solve for x

5x+4(0)=-40

5x=-40

x=8

so the x intercepts = (8,0)

To find y-intercept substitute 0 in x and solve for y

5(0)+4y=-40

4y=-40

y=-10

here the y-intercepts = (0,-10)

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Answer: p=8

Step-by-step explanation: 1.23p−15.15=−5.31Move the constant to the right side1.23p=−5.31+15.15Add the terms1.23p=9.84Divide both sides1.231.23p​=1.239.84​Simplify1.231.23p​=8Solutionp=8

1.800 is the z-score of a car that gets 29 miles per gallon.

Mean μ = 23.04 miles per gallon

a standard  deviation σ = 3.31 miles per gallon

the z-score of a car that gets 29 miles per gallon

[tex]Z = x -[/tex]μ /σ

 Z =  [tex]\frac{29- 23.04}{3.31 }[/tex]

  Z = 1.800

Standard deviation is a statistic that measures the dispersion of a data set relative to its mean and is calculated as the square root of the variance. The standard deviation is calculated as the square root of the variance by determining the deviation of each data point from the mean.

If the data points are farther from the mean, there is more variance within the data set; therefore, the wider the data is spread, the larger the standard deviation.

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Answer:

x = - 11/3

Step-by-step explanation:

3( x-2) = 6x + 5

delete the paréntheses

move the terms

3x-6x=6+5

3x-6x=5+6

calculate

divide the sides

-3x = 11

The equation of a line is 2x + 5y = 8.

The given equation is :

y = 5/2x + 4

Here we have to find the equation of a line perpendicular to the given line passing through the point (-1,2).

The slope of a line is 5/2.i.e., [tex]m_{1}[/tex] = 5/2

To find the slope of a line perpendicular to the line we have a formula:

[tex]m_{1}[/tex]×[tex]m_{2}[/tex] = -1

[tex]m_{2}[/tex] = -1 /[tex]m_{1}[/tex]

[tex]m_{2}[/tex]= -1 × 2/5

     =-2/5

The equation of a line is:

y = mx + c

The slope is -2/5 and the point is (-1,2)

c = y-intercept

So by putting the value we have:

2 = -2/5 × (-1) + c

c = 8/5

y   = -2/5x + 8/55

y = -2x + 82x + 5y = 8

Therefore the equation of a line is 2x + 5y = 8.

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The area of the rectangular pasture will be;

⇒ 22,434.9 feet²

What is mean by Multiplication?

To multiply means to add a number to itself a particular number of

times. Multiplication can be viewed as a process of repeated addition.

Given that;

Isabella is raising goats for her town's agricultural fair.

She fences a rectangular area in her yard to use as a pasture.

The width of the rectangular pasture = 124.5 feet

The length of the rectangular pasture = 180.2 feet

Since, we know that;

Area of the rectangle = Length x Width

Substitute all the values, we get;

Area of the rectangular pasture = 180.2 x 124.5

Area of the rectangular pasture = 22,434.9 feet²

Therefore,

The area of the rectangular pasture will be;

⇒ 22,434.9 feet²

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The required transformation of the function is 1 unit left and 5 unit down.

Given that,
To determine the transformation of the parent function y=|x|. y=|x-1|-5.

The graph is a demonstration of curves which gives the relationship between the x and y-axis.

Here,
The function y=|x| is an absolute function,
when we add 1 unit left and 5 unit down to the function, the function arises as y=|x-1|-5. It implies the transformation of function as -1 on the x-axis and -5 units on the y-axis.

Thus, the required transformation of the function is 1 unit left and 5 unit down.

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Answer:

x=3

Step-by-step explanation:

The total area of the rectangular window is given by the expression:

w × (1 + 3w) + π(w/2)² .

In current mathematics, area is very important. Area is connected to the determination of determinants in linear algebra and is a basic property of surfaces in differential geometry, in addition to its utmost important in geometry and calculus. The area of a copy of the plane is determined in analysis using the Lebesgue measure, albeit not every subset is measurable. In higher mathematics, area is viewed as a specific case of volume for this double regions.

the width of the window is given as w

This is the diameter of the semicircle. hence the radius will be w/2

height of the window = 1 + 3w

area of the rectangle = w × (1 + 3w)

area of the semicircle = π(w/2)²

total area = w × (1 + 3w) + π(w/2)² .

Therefore of the given options the total area of the window is

w × (1 + 3w) + π(w/2)² .

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Answer:

$51

Step-by-step explanation:

You just times $8.50 with 6

6025 were the votes recieved by her opponent.

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.

Divide the votes she received by the 6 parts of the ratio to find the value of one part of the ratio, that is

7230 ÷ 6 = 1205 ← value of 1 part of ratio

Her opponent received 5 parts, thus

votes received by opponent =  5× 1205 = 6,025

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Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000. She receives the commission of $3200000.

Given that,

Elizabeth Oliver is a vehicle salesperson. She receives a flat commission of 4%. Her sales for the past month came to $128,000.

We have to find what was her commission.

To find the her commission we have to divide the sales month amount and the commission she receives.

=$128,000/4%

=$128,000/0.04

=$3200000

Therefore, She receives the commission of $3200000 when the commission is 4%.

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We conclude that the measure of angle ∠b is 43°.

So, a measure of angle b:

Let us name the other angle as c:

As we can clearly observe that ∠c and ∠b are vertically opposite angles.

Hence, ∠b = 43°.

Therefore, the measure of angle ∠b is 43°.

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The given statement is true.

What is matrices ?

    A matrix is a collection of numbers that are arranged in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. Matrices are used extensively in many fields of mathematics as well as in engineering, physics, economics, and statistics.

Here ,

Create, Read or Reference, Update, and Delete are all parts of the acronym CRUD. These four interactions between classes in a system are feasible. In order to find possible partners while developing a communication diagram, an analyst would establish a CRUD matrix.

Here the CRUD matrices are created by lists the classes across the top and down of the side.

Hence the given statement is TRUE.

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[tex]\begin{array}{ccll} \stackrel{lbs}{fertilizer}&\stackrel{feet^2}{ground}\\ \cline{1-2} \frac{4}{7}&87\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{4 }{7 } ~~}{x}~~ = ~~\cfrac{87}{1}\implies \cfrac{~~ \frac{4 }{7 } ~~}{\frac{x}{1}}=87 \\\\\\ \cfrac{4}{7x}=87\implies \cfrac{4}{87}=7x\implies \cfrac{4}{609}=x[/tex]

Yes, Giselle's statement is always true, she can draw a congruent triangle with the help of two sides and one angle, this rule of congruence is called the SAS property of congruency.

Giselle can create the precise triangle if Bianca gives her two sides and one angle.

Both triangles will now be congruent by SAS (side angle side) congruency.

Giselle's claim will always be accurate according to the congruency theorem.

The acronym "SAS" stands for side, angle, and side, and it makes it apparent that if any two sides and one angle of two triangles are the same, then those triangles are said to be congruent with one another.

For instance, if the triangle ABC has dimensions of 2 cm by 3 cm by 6 cm and the triangle PQR has dimensions of 4 cm by 3 cm by 6 cm and has an angle of 75 degrees, both of these triangles will be regarded as congruent triangles by the SAS theorem.

Simply put, two triangles are said to be congruent if their two sides and one angle are similar to those of another triangle.

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Answer:

This equation has no answer. Since both variables are the same

Step-by-step explanation:

6x + 5 = 8 + 6x

6x = 3 + 6x

if we subtract the 6x from eachother we get

0 ≠ 3 which is incorrect

Answer:

4

Step-by-step explanation:

[tex]3b+12+5b=44 \\ \\ 8b+12=44 \\ \\ 8b=32 \\ \\ b=4[/tex]

The three congruent triangles in this problem are given as follows:

LPN, MPL and PLN.

When triangles have the same side lengths, they are called congruent.

For a circle, we need to know that:

Hence, for this triangle, we have that:

The three triangles in this problem are given as follows:

LPN, MPL and PLN.

Since each triangle is composed by two segments that represent the radius of the circle and one segment representing the diameter, they have the same side lengths, hence they are congruent triangles.

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The total surface area of the cylinder in question is 428.93 m².

How are the parameters of a cylinder determined?
A cylinder is a three-dimensional solid with a parallel circular base and top. The overall height of the cylinder is the perpendicular distance between the top and base.
The area with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area.
Total Surface Area is the combined area of the bases and the curved surface.
Mathematically, curved surface area = 2πrh, where r = radius, h = height of cylinder;
Total surface area = 2πrh + 2πr², where r = radius, h = height of cylinder.

Given, the curved surface area of the cylinder = 352 m²
Height of the cylinder = h = 16 m
Using the formula established above, we have 2πrh = 352 --(i)
Substituting other values in (i), we get 2*3.14*r*16 = 352 ⇒ r = 3.50 m
Again, total surface area of cylinder = 2πrh + 2πr²
Substituting all values, we get TSA = (2*3.14*3.50*16) + (2*3.14*3.50²)
= 428.93 m²
Thus, the total surface area of the cylinder in question is 428.93 m².

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In the picture there is a diagram with angles. By supplementary and alternative angles we get the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.

Given that,

In the picture there is a diagram with angles,

We have to find the angles of the given diagram.

The one angle is given as 68°.

The angle a is

By supplementary,

∠a+68°=180°

∠a=180°-68°

∠a=112°

The angle b as

Alternative angles are equal

∠b=68°

We take the interial angle of triangle as x.

By alternative angles,

∠a=∠x

∠x=112°

The angle e is

By alternative angle,

∠e=∠x

∠e=112°

The angle d as

By supplementary,

∠d+∠e=180°

∠d+112°+180°

∠d=180°-112°

∠d=68°

The angle c as

By alternative angle,

∠d=∠c

∠c=68°

Therefore, the angles are ∠a=∠e=112°,∠b=∠c=∠d=68°.

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(A) Table of values

x              y

1              22

2             29

3              36

4              43

5              50

6               57

(C) The function which represents the statement is y(x) = 7x + 15 where x is the number of weeks.

Anthony has $15 and wants to save $7 per week.

Let the number of weeks be x and the amount he saved be y.

Then, the function that represents the situation is:

y = 7x + 15

Therefore,

y(1) = 7(1) + 15 = 22

y(2) = 7(2) + 15 = 14 + 15 = 29

y(3) = 7(3) + 15 = 21 + 15 = 36

y(4) = 7(4) + 15 = 28 + 15 = 43

y(5) = 7(5) + 15 = 35 + 15 = 50

y(6) = 7(6) + 15 = 42 + 15 = 57

So, the table of values is:

x             y(x) = 7x + 15

1                   22

2                  29

3                  36

4                  43

5                  50

6                   57

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Answer:

d=t10

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=30 is false.

x=y is false.

x+z=90 is true.

x+y+z=180 is false.

Answer: x=30 TRUE, x=y FALSE, y+z=90 TRUE, x+y+z=180 FALSE

Step-by-step explanation:

X=30 is true because each side is 90 degrees, and we already are given two values, 20 and 40. So to find x you do

90-(20+40) or 90-60.

This equals 30.

X=Y is false because we just saw that x is 30 degrees, and y looks to be 45 degrees. [tex]30 \neq 45[/tex]

Y+Z=90 is true because each side of the line is equal to 90 degrees and since there are two values y and z, we can do:

90/2=45.

This means that both y and z are 45 degrees and 45+45 is 90.

X+Y+Z is false because we have all of the values of them and when we add all of them together:

30 + 45 + 45

we get 120.

[tex]120 \neq 180[/tex]

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The simplified expression for the polynomial is 2y = 8x³− 14x²− 25x+ 42

A mathematical formula that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).

The given function is p(x)=1/2(x-2)(2x-3)(4x+7)

The simplified form of the function can be written as

2y = 8x³− 14x²− 25x+ 42

Now we know that the roots of the equation are 2 ,3/2 and -7/4.

The graph of the function is attached below.

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Answer: 15

Step-by-step explanation: in y=mx+b B= the y-intercept aka where the line touches the y axis

Answer:

Y= 15 or (0,15) that is the answer, hope it's not to late

Answer: Brainly got this! 87 million

Step-by-step explanation: