A triangle having area of √135 square meter and perimeter 18 meter has a side 4 meter. Find the measurement of remaining two sides.

The first Epistle of John was written about AD of between 95 and 110 . So, by this our option should be 97 AD, which is true.

The Fourth of the Catholic Epistles, The First Epistle of John[a] is the first of the Johannine epistles in the New Testament. The authorship of the Johannine writings is disputed among academics. The First Epistle's author is identified as John the Evangelist, who most scholars do not consider to be the same person as John the Apostle. The three Johannine epistles are thought to have been written by the same person by the majority of scholars, however it is unclear if the same person wrote the Gospel of John.

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The combined cost of c dollars is a xπx² + 2πxhb. The volume of the tank will be V = πx²h. Maximum value of V is when c > 2a(2hb).

a. The cost of the base is given by a xπx², and the cost of the curved surface is given by 2πxhb. The combined cost of the base and curved surface is given by:

c = a xπx² + 2πxhb

b. To find the volume of the tank, we can use the formula for the volume of a cylinder:

V = πx²h

Substituting in the expression for c from part (a), we have:

V = πx²h = πx²(c - 2πxhb) / a

c. To find the maximum value of V, we can differentiate with respect to x and set the derivative equal to 0:

dV/dx = 2πx(c/a - 2hb) = 0

Solving for x, we get:

x = (c / 2a) / (2hb)

Since x is the radius of the tank, it must be positive, so we must have c > 2a(2hb) for the maximum value of V to exist.

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It is true that if v in r3 and v·v = 0, then v is the zero vector.

If v is a vector in R3 (three-dimensional real space) and v·v = 0, then v is the zero vector.

The dot product of a vector with itself, v·v, is equal to the square of the magnitude of the vector, ||v||^2. If v·v = 0, it follows that ||v||^2 = 0, which means that the magnitude of v is 0. In other words, v has a length of 0.

The only vector in R3 with a length of 0 is the zero vector, which is represented by the vector (0, 0, 0). Thus, if v·v = 0, v must be the zero vector.

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Answer:

-3(x+4) = 2x-37

(open bracket)

(-3 × x)+ (-3 × 4) = 2x-37

-3x - 12 = 2x-37

(collect like terms)

-12+37 = 2x+3x

25 = 5x

x = 25÷5

x= 5

Answer:

a:b:c = 20:15:8

Step-by-step explanation:

a:b=4:3 = 20:15

b:c=5:2= 20:8

so a:b:c = 20:15:8

The number of each type of books purchased is, 6 mystery and 8 sci-fi

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given  that,

$5 clearance mystery books

And $12 regular-priced science fiction book

Total spent amount = $126

The number of each type of books purchased  = ?

Suppose, the number of clearance mystery books = x

the number of regular-priced science fiction book = y

So it can be written as,

5x + 12y = 126

Here, in question Second condition is missing

So we can took values of x & y from the options,

Let, x = 6 and y = 8

5x6 + 12x8 = 126

It is satisfied the condition

Let, x = 7 and y = 7

5x7 + 12x7  ≠ 126

Similarly, rest options not satisfy the condition

Hence, the number of books 6 mystery and 8 sci-fi

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The solution set to the inequality (4x-3)(2x-1)20 is x ≤ 1/2 or x ≥ 3/4. Option C

An inequality, is a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

(4x-3)(2x-1) ≥ 0

expanding the brackets

8x^2 - 4x - 6x + 3

8x^2 -10x +3

(8x^2 -6x) -(4x+3)

Factoring the common factors

2x(4x-3)-1(4x-3)

(2x-1)(4x-3) ≥ 0

2x-1 ≥ 0

dividing both sides by 2

x≤-1/2

4x-3≥0

Dividing both sides by 4

x≤3/4

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The percent of rural neighborhoods in the county is 37.5%.

What is Ratio to Percentage Conversion?

It is given that the ratio of urban to rural neighborhoods in a county is 5 : 3.

[tex]\implies \frac{\text Urban}{Rural} =\frac{5}{3}[/tex]      -----(1)

The total neighborhoods can be given as,'

5 + 3 = 8 neighborhoods.

Thus, 5/8 parts are urban neigborhoods and 3/8 parts are rural neighborhoods.

Converting the ratio of rural neighborhoods to percentage, we get

[tex]\frac{3}{8} \times 100 =37.5 \%[/tex]

Therefore, the percent of rural neighborhoods in the county is 37.5%.

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The probability that player 1 wins m times is [tex]$\frac{m}{n}[/tex].

Assume that the numbers 1,2, ....., and n are randomly given to players.

Consider,

[tex]\Omega & =\{1,2, \ldots, n\} \\[/tex]

[tex]& =\left\{\omega_1, \omega_2, \ldots, \omega_n\right\}[/tex]

Here, player 1 and player 2 compare their numbers.

The one with the largest number wins and compares her number with player 3 and So on...

If all outcomes are equally likely,

[tex]\Omega=\left\{\omega_1, \omega_2, \ldots . ., \omega_n\right\}[/tex]

Then [tex]$\Omega$[/tex] is equiprobable sample space.

The probability of each [tex]$\omega_i$[/tex] is [tex]$\frac{1}{n}[/tex] for i = 1, 2, ..........., n

[tex]$P\left\{w_1\right\}=P\left\{\omega_2\right\}=P\left\{\omega_3\right\}............P\left\{\omega_n\right\} = \frac{1}{n}[/tex]

These numbers are randomly given then it has m Sample points.

Probability = P (player 1 wins m times)

For every subset of numbers chosen uniformly at random all possible permutations of these numbers are equally likely.

[tex]$\Rightarrow P(A)=\frac{1}{n}+\frac{1}{n}+\cdots \cdots+\frac{1}{n} \text { ( mimes) }[/tex]

The number of sample points in A is divided by a number of Sample points in [tex]} \Omega}$[/tex].

[tex]$=\frac{\text { number of sample points in } A}{\text { number of Sample points in } \Omega}[/tex]

[tex]$=\frac{\text { number of favorable cases to event } A}{\text { number of possible cases }}$[/tex]

[tex]$=\frac{m}{n} \\[/tex]

Therefore P(A) = [tex]$\frac{m}{n}[/tex]

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The cost of polishing the floor of the square hall is ₹2343.75

The Side of Square Hall = 12.5 m

The cost of polishing the floor per meter sq. = ₹ 15

We have to find the cost of polishing the floor.

First we will calculate the area of floor of the square hall.

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units, with the standard unit being square meters ([tex]m^{2}[/tex]).

Area of square=[tex](12.5)^2[/tex]

Area of square =[tex]12.5 \times 12.5[/tex]

Area of square =156.25

The area of the floor of Square Hall is 156.25 [tex]\mathrm{~m}^2$[/tex]

Per square meter cost of polishing the floor is ₹15,

To find the cost of polishing the floor of the square hall of area 156.25 sq. m, simply multiply 15 by the area of the floor of the square hall.

Therefore, the cost of polishing,

=15×156025

=2343.75

Therefore, the cost of polishing is ₹2343.75.

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Find the cost of polishing the floor of a square hall at the rate of 15 per meter sq, if each side of the hall is 12.5 m.​

Answer:

2x-3

Step-by-step explanation:

3/x-4=x-5/x=

first what you need to do  is

3/x-4 so its both a fraction 3/x and 5x and subtraction on both sides makes it easer for us so

3/x-5/x=2/x

4-x=3

if wondering why 4x-x = 3 because x basicly means 1 so then you answer will be

2/x-3

am not really sure if you wanted simplifyed but it might be this

The image occupy 1250 inches².

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The aspect ratio of screen 4:3 and the screen is 2500 square inches.

so, the width of the screen is = 2500/ 4.3 = 581.40 inches

As, the image displayed has an aspect ratio of 16:9.

The Area of image is

= 581.40 x 9/16

= 1250 inches².

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Each side of the square should be matched with its slope as follows;

Side WX = 1/8.

Side YZ = -8.

In order for a quadrilateral to be a square, the two (2) pairs of its sides must be equal (congruent) and perpendicular to each other. Therefore, we would have to calculate the slope of each side by using this mathematical expression:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Where:

x and y represents the data points or side lengths of a quadrilateral.

For side WX, the slope is given by:

Slope (m) = (3 - 2)/(5 - (-3))

Slope (m) = (3 - 2)/(5 + 3)

Slope (m) = 1/8.

In Mathematics, a condition that must be met for two (2) lines or side lengths to be perpendicular is given by:

m₁ × m₂ = -1

1/8 × m₂ = -1

m₂ = -8

Slope (m₂) = -8

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the point of intersection of equation and the x value of that would be the solution. then You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1

Put both of those equations into slope intercept form (in order to be typed into the graphing calculator).

2x + 3y = 16.9

3y = -2x + 16.9

y = (-2/3)x + 16.9/3

5x = y + 7.4

5x - 7.4 = y

So in the graphing calculator,

Y1 = (-2/3)x + 16.9/3

Y2 = 5x - 7.4

Then find the point of intersection and the x value of that would be the solution.

You get the coordinate (2.3, 4.1). So x = 2.3, y = 4.1

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complete question is

Solve the system of linear equations by graphing.

2x + 3y = 16.9

5x = y + 7.4

What is the solution to the system of linear equations? Round to the nearest tenth as needed.

A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems, the highest grade was 93.

Data is encoded in a dot or tiny circle using a dot plot. The distribution of numerical variables is depicted on a number line in the dot plot, where each dot represents a value.

Any data that may be shown as dots or tiny circles is called a dot plot. Given that the height of the bar created by the dots represents the numerical value of each variable, it is comparable to a bar graph or a simplified histogram. Small amounts of data are shown using dot plots.

Mathematical procedures are comparable to those of a soda vending machine. You can choose from a variety of sodas after you deposit a particular sum of money. Similar to how we enter different numbers into functions, we also receive new numbers as the outcome. The two essential characteristics of functions are domain and range.

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Answer: 33/14

Step-by-step explanation:

when interpreting a histogram with a normal curve, it is important to look at the shape of the histogram and compare it to the shape of the normal curve. This can help us determine if the data is normally distributed, identify outliers, and determine the goodness of fit of the data to a normal distribution.

Histograms and normal curves are two commonly used graphical representations of data. A histogram is a bar graph that represents the frequency distribution of a set of continuous data. A normal curve, also known as a Gaussian distribution or Bell curve, is a symmetrical and bell-shaped curve that represents the probability density function of a normally distributed set of data.

When a histogram is superimposed with a normal curve, it allows us to visually compare the distribution of the data with a normal distribution. In this article, we will discuss how to interpret a histogram with a normal curve.

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Answer:

at 3 seconds

Step-by-step explanation:

the vertex will provide the maximum or minimum of the curve and can be found by finding the values of 'h' and 'k'

in this problem, 'h' is 3 and 'k' is 108

so at 3 seconds, the maximum height is reached, which is 108 feet

Answer:

-3x^2 + 189

Step-by-step explanation:

If you know what PEMDAS is, then you do the parenthesis first, and you get -3x^2 + 9^2 + 189. Then you take 9^2 and solve that part, and you get 81. Then, since there are two numbers with no exponents or variables, you add 81+108, getting 189. This leaves you with your answer, which is -3x^2+189.

Hope this helps!

There are 26 automobiles and 13 vans available for the field excursion.

An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers. A mathematical statement that expresses the connection between two values is simply characterized as an equation. In an equation, the two values are usually equated by an equal sign. Linear equations are first-order equations. Lines in the coordinate system are determined by linear equations. A linear equation in one variable is defined as an equation with a homogeneous variable of degree 1 (i.e. only one variable). A linear equation can include several variables.

Here,

If c represents the number of cars and v represents the number of vans,

5c+8v=234

c=2v

10v+8v=234

v=234/18

v=13 vans

c=26 cars

The number of cars for field trip is 26 and number of vans is 13.

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The temperature at 6 P.M. would be - 29 °F.

Given is that Casho spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -10.4°F. Between 9 am and noon, the temperature rose 9.5°F. Between noon and 3 pm, the temperature went down 10°F. Between 3 pm and 6 pm, the temperature went down 18.6°F.

Temperature at 9 A.M. = - 10.4°F.

At noon, the temperature would be = - 10.4°F + 10°F = - 0.4°F

At 3 P.M., the temperature would be = - 0.4°F - 10°F = - 10.4°F

At 6 P.M., the temperature would be = - 10.4°F - 18.6°F = - 29 °F

Therefore, the temperature at 6 P.M. would be - 29 °F.

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Answer:

This is actually quite simple

Step-by-step explanation:

Divide them both by 20

then add

Your final answer either should be D or A

The estimate for the value of √63.5 x 101.7 is 816

To estimate the value of √63.5 x 101.7, we can round 63.5 and 101.7 to the nearest whole number and then find the square root and product.

So, √63.5 x 101.7 ≈ √64 x 102 = 8 x 102 = 816

Therefore, the estimate is 816

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The equivalent expression to the given expression ( 5/2) + 2( 2/5) + 7  is given by 11 ( 9 /10) .

Simplify the expression to get the equivalent expression:

( 5/2) + 2( 2/5) + 7

Convert mixed fraction 2( 2/5) into proper fraction we get:

2 ( 2 / 5 ) = ( 5 × 2 + 2 ) / 5

               = 12 / 5

Now, take the least common multiple of denominator we have:

( 5 / 2 ) + ( 12 / 5) + 7 / 1

Least common multiple of 2, 5, 1 is 10

( 5/ 2 ) × ( 5 / 5 ) + ( 12 / 5 )× ( 2/2) + ( 7 / 1) × ( 10 /10)

=( 25 / 10) + ( 24 /10) + ( 70 /10)

= ( 25 + 24 + 70 ) / 10

= 119 / 10

= 11 ( 9 /10)

Therefore, the equivalent expression is equal to 11 ( 9 /10).

The given question is incomplete, I answer the question in general according to my knowledge:

Which expression is equivalent to the given expression :

( 5/2) + 2( 2/5) + 7

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Total number of boys = 9

Total number of girls = 6

Let the no. of girls nick has be x

no. of boys nick has = x + 4

no. of boys pete has = x (given)

no. of girls pete has = y

No. of boys john has = z

no. of girls john has = c

we know that, x + x + 4 + z = 9,    

2x + z = 5

Let's now take a look at the possible values of x and z.

If x = 0, z = 5

If x = 1, z = 3

If x = 2, z = 1

(These are the possible number of boys nick and pete have.)

If pete has 0 boys, nick has 4 boys.

If pete has 1 boys, nick has 5 boys.

If pete has 2 boys, nick has 6 boys.

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The right answer is option B, which is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain. Originally, functions were the idealization of how a variable quantity depended on another quantity.

Here,

First, you must graph all of the supplied points in the table in order to establish the final behavior.

Remember that the behavior of f(x) as x approaches positive and negative infinity is the end behavior of a function.

According to the graph, as x approaches positive infinity, f(x) approaches negative infinity, and as x approaches negative infinity, f(x) approaches negative inifinity. In other words, f(x) always approaches negative infinity in any situation.

The correct answer is option B that is "As x → ∞, f(x) → ∞, and as x → –∞, f(x) → –∞."

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Answer:

see below

Step-by-step explanation:

1. A&B because they have finite #s in the brackets

2. {-1, 2, -4, 8, -16, …}  you use first # & multiply by -2 & see if you get the next #.

Answer:

it's the 2nd one and the 4th one

Step-by-step explanation:

theyre just right

Answer:

when y=0 and x=0 then

y=-2x

=-2.0

=0

and y=2x

=2.0

=0

The vectors v and w must be parallel if the value of an is 3/a2.

The parts of each vector must be proportionate for v to be parallel to w.

v = 3ai + 2j

w = (a^2)i + 6j

Therefore,

3a / a^2 = 2 / 6

3a = (2/6)a^2

a = 3/a^2

The components of each vector must be proportionate in order to make two vectors parallel. In this situation, we wish to make v parallel to w because we have two vectors, v and w. We can use the following equations to express v and w:

v = 3ai + 2j

w = (a^2)i + 6j

We need to determine the ratio between the x-components (3a and (a2)) and the y-components (2 and 6), as we can see that they are not currently proportionate. To do this, we can construct a proportional equation where the ratio is 3a / a2 on one side and 2/6 on the other. This problem can be solved for a by simplifying the equation to 3a = (2/6)a2. This yields a value of 3 / a2, indicating that the value of a must be 3 / a2 for v and w to be parallel.

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The sample is a specific subset of the entire group of individuals being studied. In this case, the sample is the city of Hartville, Missouri.

Sampling is the process of choosing a subset of people (a statistical sample) from a statistical population in order to estimate characteristics of the entire population. It is used in statistics, quality control, and survey technique. Statisticians try to get samples that are typical of the population under consideration. In situations where it is impractical to assess the complete population, sampling offers insights and is more affordable and quicker than doing so.

To find patterns and trends in the broader data set being reviewed, data sampling is a statistical analysis approach that is used to choose, modify, and analyse a representative selection of data points. It lets data scientists, predictive modellers, and other data analysts to construct and execute analytical models more quickly while still generating correct results by working with a limited, manageable amount of data about a statistical population.

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The total number of practise booklets by 5 rather than 6 (the correct total number of schools).

The complete question is

The pie chart below shows the distribution of exercise books to six schools A, B, C, D, E and F in a town. School D was given 8,000 exercise books. F A B 60° 500 70% E 42° 80° D C​

(i) How many exercise books were given to each

of the rest of the schools?

(ii) What is the average number of exercise books given to the schools?

(iii) How many schools had less than the average number of exercise

books?

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