5-115. Let us consider the difference between t(n) = 2 · 3" and f(x) = 2. 3

a) Is f(x) = 2 · 3 a function? Is t(n) = 2 · 3" a function? Why or why not?

Answer:

the answer is a rectangle with dimensions 3cm and 5cm

Answer:

Two expressions for the area are;

i) x/3 + 2·y + 6

ii) (1/3) × (x + 6·y + 18)

Step-by-step explanation:

The given dimension of the rectangle are;

The height of the rectangle, h = 1/3

The width of the smallest rectangle, w₁ = x

The width of the med sized rectangle, w₂ = 6·y

The width the large rectangle, w₃ = 18

The area, 'A', of the entire rectangular figure, the big rectangle, can be expressed as follows;

A = A₁ + A₂ + A₃

Where;

A₁ = The area of the smallest rectangle

A₂ = The area of the mid sized rectangle

A₃ = The area of the large rectangle

∴ A = (1/3) × x + (1/3) × 6·y + (1/3) × 18 = x/3 + 2·y + 6

The area of the big rectangle. 'A', can also be found as follows;

A = (1/3) × (x + 6·y + 18)

Therefore, two expressions for the area of the big rectangle are;

x/3 + 2·y + 6 and (1/3) × (x + 6·y + 18).

Answer:

Correct, 25.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer: I dont know

Step-by-step explanation:

Honestly I agree

The equation of the circle in standard form is  ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.

A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.

Equation of the circle in standard form is,

( x-h )2 + ( y-k)2 = r2

we have to find the  the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.

here, h = ( x1 + x2 ) / 2

         k = ( y1 + y2 ) / 2

here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between  (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.

so, h = -5 + 7 / 2 = 1

     k = -5 + 2 / 2 = -3/2

Putting all the values we get the equation of circle in standard form.

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On solving the provided question, we can say that the permutation will bw  , N = (4!)(5!)(3!)(3!)= 103,680

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.

we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680

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Answer:

Step-by-step explanation:

Answer:

d

50.5

not a function

A

? cant see the last one

Step-by-step explanation:

At a significance level of 0.05, the sample data is not consistent with the null hypothesis that the proportion of population who would respond "yes" is 0.5. The P-value of 0.0005 is less than 0.05, and also the sample proportion 0.4616 is not in the interval (0.477, 0.523) which we found as 95% Confidence interval.

Therefore, we reject the null hypothesis and conclude that the population proportion of "yes" responses is different from 0.5.

The P-value for a score test for H0: π = 0.5 can be found using the z-score and a standard normal table. The z-score is calculated as

[tex]z = \frac{x-0.5}{0.5\sqrt{\frac{x-0.5}{n} } }[/tex], that is

z = (x - 0.5) / (√(0.5(1 - 0.5) / n)

where x is the sample proportion of "yes" responses (842 / (842 + 982) = 0.4616), π is the population proportion of "yes" responses, and n is the sample size (842 + 982 = 1824).

[tex]z = \frac{0.4616-0.5}{0.5\sqrt{\frac{0.4616-0.5}{1824} } }[/tex]

= (0.4616 - 0.5)/ (√(0.5(1 - 0.5) / 1824)

This gives a z-score of -3.28.

To find the P-value, we can use the standard normal table to find the probability of observing a z-score less than -3.28. This P-value is approximately 0.0005, which is less than the commonly used significance level of 0.05. Therefore, we would reject the null hypothesis that π = 0.5.

To construct a 95% confidence interval for π, we can use the formula for a normal approximation interval:

π ± z×(√(π(1-π) / n)) that is

[tex]\pi \frac{+}{} z\frac{\pi (1 -\pi )}{n}[/tex]

Where π = 0.5, z = 1.96 (for a 95% confidence level), and n = 1824.

This gives a 95% confidence interval of (0.477, 0.523)

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Answer:

unidentified

Step-by-step explanation:

could you please send the other polygon or send an attachment of the whole question because this information is not enough

The cost of filling the cone to its full capacity would be = 189.4 cents

A cone is a three-dimensional figure in geometry that tapers from a flat base (usually a circular base) to a point called a vertex or longitude (which forms an axis through the center of the base).

The formula for the volume of a cone = πr²h/3

Height (h) = 5 inches

Radius (r) = 3 inches

π = 3.14

volume = 3.14 × 3² × 5/3

= 3.15 × 9 × 1.67

= 47.35 in³

But 1 in³ = 4 cents

47.35 in³ = X

Make X the subject of formula;

X = 47.35 × 4 = 189.4 cents.

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Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

A scatter plot is a collection of dots that have been plotted along a horizontal and vertical axis. Statistics uses scatter plots because they can display the degree of connection, if any, between values of observable quantities or events (called variables). There are points on a scatter (XY) plot that depict the connection between two sets of data. The sample illustrates the weight and height of one person for each dot. Data points are plotted on a horizontal and vertical axis using scatter plots in an effort to demonstrate the degree to which one variable is influenced by another. The values of the columns selected on the X and Y axes determine where each row in the data table is represented by a marker, whose position.

given

300 calories from fat

total = 100 + 100 + 200

= 400 calories

Total 400 calories is expected to have a meal has 300 calories from fat  the relationship between the total calories a meal has and the number of calories from fat .

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On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.

When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.

Here,

U/5 = 17/11

U = 17/11 X 5

U = 7.72

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Answer:

x = 2

Step-by-step explanation:

these angles are alternate-interior angles which are congruent

-1 + 38x = 36x + 3

38x = 36x + 4

2x = 4

x = 2

Answer:

$31.23

Step-by-step explanation:

4.1% = .041

30 * .041 = 1.23

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

30 + 1.23 = 31.23

Answer:

$31.23

Step-by-step explanation:

Tax is 1.23

multiply .041 by 30 and add it to 30

When Dylan travels 8 miles due north, the distance between the homes of the parents and grandparents is thus 9 miles.

The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three named sides. With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.

given

by pythagoras theorem

[tex]c^{2} = a^{2} + b^{2} \\c^{2} = 8^{2} + 5^{2} \\c^{2} = 64 + 25 \\c^{2} = 89 \\c = 9[/tex]

The homes of the parents and grandparents are thus 9 miles apart in a straight line.

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Answer:

Method 1: $12.75

Method 2: $9

Step-by-step explanation:

method #1: 32-15 is $17

In order to take off a percentage, we must find that percentage of the amount. To do this, we must multiply by the percent in decimal form, so

[tex]17 \times .25 = 4.25[/tex]

Now, this amount just represents the percent of 17 we would take off, so we must take that amount off.

[tex]17 - 4.25 = 12.75[/tex]

We would pay $12.75

Method #2:

There are a few ways to do this with 25%. we know 25% is 1/4, and 1/4 or $32 is 8. so we can simply take that off from the start. Otherwise, we can follow the method above as follows

[tex]32 \times .25 = 8[/tex]

Again, this is the amount off so we must subtract.

[tex]32 - 8 = 24[/tex]

now, we subtract 15.

[tex]24 - 15 = 9[/tex]

We would pay $9 using this method.

Hope this helps!

Answer:

55 miles per hour

Step-by-step explanation:

The equation is:

R = d / s

We know

d = 495 miles

s = 9 hours

Let's solve

R = 495 / 9

R = 55 miles per hour

So, their driving rate is 55 miles per hour

The diameter of Mars is 6825 kilometers.

First we quantify angular size a = 8. 0 arcseconds in radians.

a = ( 8/ 3600) × (π/180)

a = 0.000039 radians

also, the distance from Earth to Mars in kilometres is 175,000,000 km

So, r = 175,000,000 km

We use the formula S = r x a to find the diameter of Mars

Substitute r = 175,000,000 and a = 0.000039 in above formula

S = 175,000,000 × 0.000039

S = 6825 km

Therefore, the diameter is 6825 km

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Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

A linear model is the one that satisfies the algebraic formula y=mx+b. m is the y-intercept, while B is the slope. The foregoing sentence is sometimes referred to as a "mathematical expression having two variables" both y and x are different factors. Bivariate linear equations are two-variable linear equations. There are several uses for linear equations: , all result in zero. An equation is said to be linear if its formula is y=mx+b, where m denotes the slope and b the y-intercept. Y=mx+b is the formula for an equation, where m stands for the slopes and b for the y-intercept.

Here,

Given : 2x + 3 =0

thus,

To find that it is linear equation in two variable is given  equation

As,

We can see there is only one variable that is x.

So , it is not a linear equation in two variables.

Therefore , the solution of the given problem of linear equation comes out to be  it is not a linear equation in two variables.

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Step-by-step explanation:

10²+9x-7

Ans

184 sq meter

Step-by-step explanation:

Area of the cuboid box = (2*FA)+(2*SA)+(2*TA)

Where FA= Front face area

SA= Side face area

TA= top face are

Here FA= length * breadth = 10*6=60 sq meter

SA= 10*2= 20 sq meter

TA= 6*2= 12 sq meter

So area of box= 2*60+2*20+2*12= 184 sq meter

The coefficient of yA² for the three given expressions are 2, 10 and 5 respectively.

What is expression?

It is a mathematical statement that defines a mathematical concept as well as the system of a mathematical operation express in a symbolic form.

Mathematical expression is made up of at least two numerical terms along with a sign or at least two terms along with a sign. The expression having two or more numerical terms is called numerical expression.

As example 4 + 3 or 100÷4

The expression which has both variables and numbers is called algebraic expression.

As example X+6 or 25+5y

What is coefficient?

In an expression, the numbers which are accompanied by variables is called coefficient. As example, 24 + 3y, where 3 is the coefficient of y

but 24 is a constant number.

How can we determine the coefficient from the given expression?

We are given three expressions, these are 2xA²y, 10xyA² and 5yA²

for the 1st expression, 2 is the coefficient of A²y

for the 2nd expression, 10 is the coefficient

for the last 5 is the coefficient.

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There were 8 bhajis in the second bag if he have 2 bags of onion bhajis, one of which holds 42 bhajis.

What is an equation ?

In mathematics, an equation is a statement that asserts the equality of two expressions, typically containing one or more variables. Equations are often written in the form of "expression = expression" or "expression - expression = 0"

Let's call the number of bhajis in the second bag "x".

We know that he total number of bhajis after emptying both bags onto the plate is 50.

So we can write an equation:

42 + x = 50

To solve for x, we can subtract 42 from both sides:

x = 50 - 42

x = 8

Therefore, there were 8 bhajis in the second bag.

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Answer:

Holy has $85 dollars remaining.

Step-by-step explanation:

(There is no model given in the question, so I'll tell you what the model should be equal to)

If she has $125 to spend, and she spends $35 of that money on gas, she will have $85 left.

$125 - $35 = $85

r = 88.5

y = 3/4

Step-by-step explanation:

From the lower triangle,

97 - 2x = 4x -2

Collecting all similar terms, we get

6x = 99 or x = 16.5

From the upper triangle, we can see that

5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5

Since the sum of all the interior angles of a triangle is equal to 180, we can write

4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180

4y = 3 or y = 3/4

Answer:

48cm3

Step-by-step explanation:

Volume of a rectangular box = a.b.c
The volume of the solid figure: (2.2.5) + (7.2.2) = 20 + 28 = 48 cm3

Answer:

a decagon is 36° and I'm not sure about the 20-gon sorry