Principal: $4,000 at 6% for a) 4 years, b) 4 months, and c) 4 days.

The ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.

A set of ordered pairs that defines a function will be the one that has exactly one y-value that assigned to every x-value. This means that none of its x-values can have two corresponding y-values.

All the sets of ordered pairs don't have exactly one y-value that corresponds to each of its x-value except {(0,0),(1,10),(10,4),(-1,-7)}.

Thus, we can say that the ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.

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The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.

The solution of the equation means the value of the unknown or variable.

The equation is given below.

4p – [(2p – 3) / 2] = 6

On simplifying, we have

(8p – 2p + 3) / 2 = 6

               6p + 3 = 12

                     6p = 9

                       p = 1.5

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The minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

We have:

1 < a ≤ x

We have an expression:

[tex]\rm log_a(x)+log_x(x)[/tex]

We know,

[tex]\rm log_aa = 1[/tex]

[tex]\rm log_a(x)+1[/tex]

If a = x

Then, [tex]\rm log_a(x)=1[/tex]

We cannot find the function value less than 1 because it goes infinitely in a negative direction.

So the minimum value of the expression:

= 1 + 1

= 2

Thus, the minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.

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Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

[tex]\frac{12}{x} *-8x^{3}[/tex]

[tex]=-96x^2[/tex]

Domain: (-∞, 0) U (0, ∞)

An architect uses geometry  to charge for their design to design the floorplan of a sructure.

Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.

The shapes and sizes used in the architect’s design are often possible due to mathematical principles.

An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.

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Answer:

to design the floorplan of a structure

Step-by-step explanation:

Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.

The simplified form of the expression has a numerator (x + 9)(2x + 1) and the denominator (x + 7) and the expression doesn't exist at (x = 9).

The given expression is:

= [(3x² - 27x)/(2x² + 13x - 7)]/(3x/4x² - 1)

Firstly, factorize the expression 4x² - 1.

4x² - 1 = (2x - 1)(2x + 1)

Then, factorize 2x² + 13x - 7.

2x² + 13x - 7 = 2x² + 14x - x - 7

2x(x + 7) - 1(x + 7)

= (2x - 1)(x + 7)

Then, factorize the equation 3x² - 27x.

3x² - 27x = 3x(x - 9)

The factorized terms will be substituted into the equation. This will be:

= [3x(x - 9)/(2x - 1)(x + 7)] / 3x[(2x - 1)(2x + 1)]

= (x + 9)(2x + 1)/(x + 7)

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Answer:

The correct answer is True

Answer:

True

Step-by-step explanation:

Each branch of a tree diagram is the likelihood of that outcome happening. You multiply as you go along the branch.

Answer:

the answer is A. 2 thin crust pizzas

Answer:

894.035793467 or roughly 894

Step-by-step explanation:

I square rooted it by using a calculator, and by working it out on paper.

The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

First, we need to find the equation of the line that is given:

We can use the formula,

[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]

[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]

So the equation for this line is  

y = (1/5) x - 3

This means that the equation for the line we are trying to find has a slope of as well

Let's put the points in the equation and try to find the y-intercept:

2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b

[tex]\dfrac{15}{5} = b[/tex]

So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]

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Answer:

(x+2)(x-3)(x+3) this is ans

Answer:

a. (x + 2)

Step-by-step explanation:

x^2(x + 2) - 9(x + 2)

(x + 2)(x^2 - 9)

(x + 2)(x - 3)(x + 3)

Therefore the answer is (x + 2)

Answer:

$3,272

Step-by-step explanation:

Continuous Compounding Formula

[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for A:

[tex]\sf \implies A=2600e^{(0.023 \times 10)}[/tex]

[tex]\sf \implies A=2600e^{0.23}[/tex]

[tex]\implies \sf A=3272.360026...[/tex]

Therefore, the value of the account after 10 years is $3,272 to the nearest dollar.

Answer:

telmhtkhknrkh

Step-by-step explanation:

eg

Answer:

4.08x^2

Step-by-step explanation:

The linear relation of the height as a function of the number of weeks is:

y = 0.5*x

A general linear relation is written as:

y = a*x + b

Where a is the slope.

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we have the points of the form (week, height).

(4, 2)

(6, 3)

(8, 4)

If we use any two of these we can get the slope, so using the first two:

a = (3 - 2)(6 - 4) = 1/2 = 0.5

y = 0.5*x + b

To get the value of b, we can use the first point, it says that when x = 4, we have y = 2, then:

2 = 0.5*4 + b

2 = 2 + b

0 = b

Then the linear relation of the height as a function of the number of weeks is:

y = 0.5*x

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Answer:

4y^2

Step-by-step explanation:

least common denominator is 4y^2

For the graphed function we can see:

For a function y = f(x), the domain is the set of the possible inputs "x" and the range is the set of the possible outputs "y".

In this case, we can see that in the right side we have a parabola, and on the left side a linear equation which increases up to the left (so it has a negative slope).

Then the domain will be the set of all real numbers.

Similar for the range, as we can see that on the left side, the line goes upwards, while on the right side, the parabola goes downwards. So this function has a range of all real numbers.

Then:

domain = set of all real numbers

range = set of all real numbers.

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Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]

Step-by-step explanation:

[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]

Answer:

Let x= cost of 20 pepsi

so 1 Pepsi = 20 naira

20 = x

x= 20*20

x= 400 naira

Therefore the cost of 20 pepsi is 400 naira

Answer:

This is impossible.

Step-by-step explanation:

The interior angle of a regular polygon is equal to

[tex] \frac{180(n - 2)}{n} [/tex]

where n is the number of sides.

Setting this equal to 180°,

[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]

which is false.

Answer:

Given sequence in the table is a Geometric sequence and The sum for term 5 through term 11 in sigma notation is given by:

[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]

Step-by-step explanation:

Geometric sequence - it is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio

here the given terms :

a1 = 2, a2 = -10, a3 = 50

you can see it is a geometric sequence as the ratio is constant  [tex]\frac{a2}{a1}{=}\frac{a3}{a2}{=}{-5}[/tex]

now the nth term for geometric sequence :

[tex]a_{n} {=}{a}{r}^{n-1}[/tex]

here,

now substituting the given values in the expression,

[tex]a_{n} {=}{2}{{(}-5}{)}^{n-1}[/tex]

we have to find the sum from term 5 to term 11,

therefore using sigma notation and putting n= 5 and n=11 at the below and above the sigma respectively,

[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]    

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Answer:

70

Step-by-step explanation:

180 minus 110 is 70

straight lines are 180 degrees

Answer:

b6,4

Step-by-step explanation:

becust tehf sdj

Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Combine like terms:

2.3p – 10.1 = 6.49p – 4

Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.

We get:

230p – 1010 = 650p – 400 – p

Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.

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Answer:

0.00893 feet elevation per 1 foot distance.

Step-by-step explanation:

The hill reaches an elevation of 250 ft (above sea level) over the course of 28,000 feet.  The average rate of change would be (250 ft)/(28,000 ft), or 0.00893 feet elevation/1 foot distance.

((0.00893 (feet up/foot distance))*(28,000 feet distance) = 250 feet  up (elevation).

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 3 [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]

[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]

[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]

[tex]\qquad \tt \rightarrow \: x = 3[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞