1/5t + 2 - 2 = 17 - 2

18x - 9 = 72 and x = 4.5 represents the same value as 3/5(30x - 15) =72.

Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”. For example, 2x – 5 = 13.

Here,

2x – 5 and 13 are expressions

The sign that connects these two expressions is “=”.

Given

x = 4.5

And equation

3/5(30x - 15) =72

Simplifying

90x/5 - 45/5 = 72

18x - 9 = 72     -----------(a)

18x = 81

x = 81/18

x = 4.5             ------------(b)

Equation (a) and (b) are among the equations given in the options.

Hence, from the above calculation equations 18x - 9 = 72 and x = 4.5 express the same value of x as 3/5(30x - 15) =72 .

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The length of the rope is  2√29 meters.

What is an isosceles triangle?

An isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg). An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal.

Given that the distance between two trees is 2 meters. A boy hangs on a rope tied to the trees in the middle of the rope.

it sags so that the center is 2 meters below the level of the ends.

Thus it forms an isosceles triangle. △ACD and △BCD are two right triangles.

Since △ABD is isosceles triangle and AD = BD.

In △ACD, Hypotenouse = AD, Base = AC = 10/2 = 5 cm, Height = CD = 2 meters

Apply Pythagorean theorem on △ACD:

AD² = AC² + CD²

AD² = 5² + 2²

AD² = 29

AD = √29

Therefore, BD = √29

The length of the rope is AD + BD = 2√29 meters.

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Answer:

Step-by-step explanation:

Answer d) looks good

D. [tex] \frac{21 \: b}{10} - 48[/tex] ✅

Step-by-step explanation:

[tex] - 6( \frac{1}{4} b+ 10) + 4( \frac{9}{10}b + 3) \\ = \frac{ - 6 \: b}{4} - 60 + \frac{36 \: b}{10} + 12 \\ = \frac{ - 3 \: b}{2} + \frac{18 \: b}{5} - 60 + 12 \\ = \frac{ - 3 \: b \times 5}{2 \times 5} + \frac{18 \: b \times 2}{5 \times 2} - 48 \\ = \frac{ - 15 \: b + 36 \: b}{10} - 48 \\ = \frac{21 \: b}{10} - 48[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

no cheating on a iready test if you do this you wont get answers good for you dont skip the starting thing this is for your own good try doing it

Step-by-step explanation:

The syntax for using BASE in Excel is "=LN(number,base)" where "number" is the number for which you want to calculate the logarithm and "base" is the base to which the logarithm should be calculated.

For example, if you want to calculate the logarithm of 10 to the base 2, you would use the formula "=LN(10,2)".

The idea is to express the given integer (20) in terms of either the base or the values given (3 and 5).

Next, since we have the multiplication sign, we use the addition law:

The power of the number becomes the product of the log, so we have:

When you have the same base and number, the result is always 1.

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Answer:

Step-by-step explanation:

Combine multiplied terms into a single fraction

one-third x minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

Multiply by 1

1 x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

x over 3 end fraction minus 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

Multiply the numbers

x over 3 end fraction negative 2 ⋅ 9 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

x over 3 end fraction negative 18 x squared plus negative 4 over 3 end fraction x squared minus 13 x minus 10 plus negative 7 over x end fraction minus 1

Step-by-step explanation:

[tex]D {}^{3} = 27 \\ D = {27}^{ \frac{1}{3} } \\ D = 3[/tex]

Since points D and F are the intersections of sides AC and AE, In triangle respectively, DF is parallel to EC and so EC is twice as long as DF. Thus, the value of side EC is 32.

Given that it has 3 components and three vertices, a triangle qualifies as a polygon. It has a fundamental geometric form. Triangle ABC is the name given to a triangular with the corners A, B, and C. When the three aspects are not collinear, Euclidean geometry yields a single plane and triangle. Triangles are regarded as polygons since they have 3 components and three corners. The points where a triangle's three sides meet are referred to as its corners. Three triangle angles are multiplied to get 180 degrees.

Given :

Triangle ACE

The midpoint of EC is side, where AC = 38 B.

D sits in the middle of EC.

The center of AE is F.

DF = 16.

Given that D is the midpoint of EC and that F is the midpoint of AE, it follows that DF is parallel to AC.

If DF and AC are parallel, then DF and AC are equal to twice each other and DF equals 16. Thus, EC equals 32.

=>EC = 2*DF

=>EC = 2*16

=>EC = 32

It follows that if points B, D, and F are the midpoints of the sides of the triangle ACE, then DF is parallel to AC and EC = 2 x DF = 32.

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9514 1404 393

Answer:

  x = (23 1/3)°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  40° +2x +4x = 180°

  6x = 140° . . . . . . . . . . . subtract 40°

  x = 140°/6 = (23 1/3)° . . . . divide by the coefficient of x

_____

This makes the angles be 40°, 46.67°, and 93.33° (rounded to hundredths).

You can differentiate best time, worst time and average time of an algorithm like this:

Best time = fastest completion time with optimal inputs.

Worst time = slowest completion time, with pessimistic inputs.

Average time = arithmetic mean

The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.

There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.

Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.

Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.

What is average case complexity

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The maximum profit she can make if each goose produces a profit of $6 and each pig a profit of $20.

Making the Most of Total Revenue and Total Cost Data. Just multiply the price by the quantity at each quantity to find the company's total revenue. Next, deduct the company's total cost at each quantity, which is provided in the table.

Let the number of geese be x and the number of pigs be y

From the given information, we can form the following inequalities:

x ≤ 10

y ≥ 05

x + 15y ≤ 180

Maximize 6x + 20y.

We want to find the intersection points of the first three equations since x and y are bounded within the area under these

These points are (0,0), ( 10,0), (0,12), (10,65/3).

At (0,0) , the profit is $0

At ( 10,0), the profit is $60

At (0,12) , the profit is $240

At (10,65/3) , the profit is $499.33

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Answer: HG = CD.

Step-by-step explanation: If you tilt the second triangle so it's flat like the first triangle, you can see that HG is equal to CD.

Answer: a. Plotting a graph of the data on a graph paper, you can represent the time on the x-axis and the temperature on the y-axis. And plot the given points (15,20), (30,30), (45,40), (60,50), (75,60), (90,70) as ordered pairs on the graph. This will give you a line graph, showing the temperature increasing over time.

b. To find the linear model, T(x), for the temperature of the liquid with respect to time, you can use the slope-intercept form, y = mx + b, where y is the temperature, x is the time, m is the slope and b is the y-intercept. Using two of the given points, you can find the slope of the line by calculating the change in y over the change in x,

m = (y2 - y1) / (x2 - x1).

where x1,y1 and x2,y2 are two distinct points on the graph.

Once you have the slope, you can use one of the points to find the y-intercept, by substituting the point's coordinates into the slope-intercept form equation and solving for b.

Once you have the slope and y-intercept, you can write the linear model as T(x) = mx + b

c. To find the temperature of the water after 85 minutes, you can substitute the value of x = 85 into the linear model equation that you found in the previous step to get the corresponding value of y (temperature).

Please keep in mind that the temperature and time value here are random and are not based on any real-life scenario, and they were provided to show you the concept of linear model.

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

So substitute the vales for r and d

(4*2)

and |-6| means the absolute value of -6, which is just 6

so simplifying the equation would make it

(8+6.5) - 6

14.5-6

8.5 :)

Answer:

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

There is no indication that the given triangles are congruent.

We can see one angle of each triangle is marked as congruent and that is is. No more evidences of congruence and therefore we state the triangles are not congruent.

This is a choice C.

Answer:

D= 2z/p + 3/p = -z

Step-by-step explanation:

Answer:

The answer is number 2. f^-1(x)= 2- x/6

Step-by-step explanation:

Just is

In the coordinate geometry the translation represents one type of transformation to change the location without changing the shape, size.

As given in the question,

In the coordinate geometry,

Therefore, in the coordinate geometry the translation represents one type of transformation to change the location of the geometrical figure.

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Answer:

Step A is incorrect because Lauren identified the wrong formula for sine(θ). Instead, sin(θ) would be equal to opposite / hypotenuse. Then you can substitute getting: 12/15, and once you simplify you get 4/5.

On solving the provided question, we can say that - the valuye os the complementary angle is 83.0000000004.

When two angles add up to 90 degrees, they are said to be complimentary. When two angles add up to 180 degrees, they are said to be subservient. . When the sum of two angles equals 90 degrees, they are called complementary angles. For example, 30 and 60 degrees are supplementary angles. A supplementary angle is two angles that add up to 180 degrees, and a supplementary angle is two angles that add up to 90 degrees. of 30 and 60 degrees are supplementary. A supplementary angle is two angles combined to make a 180 degree angle, while a supplemental angle is two angles combined to make a 90 degree angle. Two angles are referred to as complimentary if their total is 90 degrees. Alternatively said, a right angle is created by the complementary angles (90 degrees).

here we have

(12x + 7) = 90

12x = 83

x= 6.9166666667

12x = 83.0000000004

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Therefore , the solution of he given problem of linear equation comes out to be x = 5.

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given : 2x-4=6

To prove x =5

Thus,

We have to find the value of x

=> 2x =10

=> x =10/2

=> x =5

Therefore , the solution of he given problem of linear equation comes out to be x = 5.

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The two types of Angles of the triangle are  Acute Angle ( angle that are less than 90 degree) and Obtuse Angle ( angle between 90 and 180 degree ).

What are Angles ?

The Angle is defined as the geometrical shape that is constructed by joining two rays to each other at their end points.

The two types of angles of the triangle are Acute Angle and Obtuse Angle :

(i) Acute Angle :

An angle can be called as Acute if the measure of the angle is less than 90 degree .

(ii) Obtuse Angle :

an angle can be called as Obtuse if the measurement of the angle is greater than 90 degree and less than 180 degree .

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Answer:

2700

Step-by-step explanation:

1200/4 = 300

300×5 =1500

1200+1500 = 2700

Based on the provided information, the APR is 71.4%.

Annual Percentage Rate (APR) is defined as the interest rate which is charged by a lender on an annual basis, expressed in the form of a percentage. The formula for APR is given by

APR = (((Interest Charge+Fees)/(Loan Principal))/(Number of days in loan term)) * 365 * 100

The finance terms in the given case is $29.99 per week for 73week. Hence,

Total amount paid = 29.99*73 = $2,189.27

Loan principal = $1,095

Interest charged = Total amount paid – Loan principal amount = 2,189.27 – 1,095 = $1,094.27

Fees = 0 (as it not mentioned in the question)

Number of days in loan terms = 73*7 = 511 days

Substituting the values in the formula,

APR = ((1094.27/1095)/511) * 365 * 100

APR = 71.4%

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Answer:

142 degrees

Step-by-step explanation:

d-c is 90 degree angle so you add that to the 52 degree

I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

equals to 2. //spam.so i can post. the answer smzmsmsmsmssssksjdjdj

To find the remainder 10 when dividing 2x³ 3x² 8x by 2x 1, the polynomial must be augmented with -12.

A polynomial is an expression that consists of variables, exponents, and coefficients. It is a mathematical function composed of two or more terms, each of which is a number or a variable multiplied by an exponent. It can be used to represent a variety of relationships in mathematics, including equations, linear functions, quadratic functions, and more.

Therefore, the polynomial that will leave a remainder 10 when divided by 2x 1 is 2x³ 3x² 8x -12.

This is because if we divide the polynomial by 2x 1, the remainder will be the last term of the resulting polynomial, which is -12.

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