Write an algebraic expression
to represent each verbal expression.
the sum of six times a number and 25

The rent of the apartment during the 12th year of living in the apartment is   $2076.30

Geometric order is a geometric series or sequence. By multiplying the terms of a geometric series, we arrive to conclusions. A geometric sequence, to put it simply, progresses from one term to the next by multiplying (or dividing) each phrase by the same constant value or number.

A mathematics series is a sum of an infinite number of terms with the objective of maintaining a constant ratio between the progressing terms.

Given:

In the n-th year, the rent will be ...

 an = a1·r^(n-1) . . . . . . . . . r is the year on year ratio: 1+rate of increase

 an = 1100·(1.095^(n-1))

Then the rent in the 8th year is ...

 a8 = 1100·(1.095^(8-1)) ≈ 2076.30

The rent in the 8th year would be $2076.30.

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Answer: 9. x=4    ST=11

             10. x=17  UW=67

Step-by-step explanation:

9.

[tex]RS+ST=RT\\RS=6x+1\ \ \ \ \ ST=x+7\ \ \ \ RT=36\\Hence,\\6x+1+x+7=36\\7x+8=36\\7x+8-8=36-8\\7x=28\\[/tex]

Divide both parts of the equation by 7:

[tex]x=4\\ST=x+7\\ST=4+7\\ST=11[/tex]

10.

[tex]UV+VW=UW\\UV=19\ \ \ \ UW=4x-20\ \ \ \ UW=6x-35\\Hence,\\19+4x-20=6x-35\\4x-1=6x-35\\4x-1-4x=6x-35-4x\\-1=2x-35\\-1+35=2x-35+35\\34=2x[/tex]

Divide both parts of the equation by 2:

[tex]17=x\\UW=6x-36\\UW=6*17-35\\UW=102-35\\UW=67[/tex]

There are three possible positive and one negative root for the equation.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

We have been given the equation as

⇒ -4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

Check the polynomial "as is" for positive zeros, the symbol changes three times. This means that you might either have one or three positive zeros. If they are imagined, they will depart in pairs.

So changes signs 3 times: possible positive roots 3 or 3-2=1

The polynomial must be rewritten as  [tex]f(-x)[/tex] for negative zeroes, or

⇒ -4x⁶ + 3x⁵ + 2x² + 4x + 1

This polynomial changes signs just once, So There will have 1 negative zero.

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The question seems to be incomplete the correct question would be

According to Descartes's rule of sign, how many possible positive and negative roots are there for the equation

-4x⁶ - 3x⁵ + 2x² - 4x + 1 = 0

The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.

When should you employ both the T568A and T568B standards and what are their differences?

What is T568B standard?

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Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.

As given in the question,

Let the three negative numbers be -x , -y , and -z.

Delia is multiplying three negative numbers

Multiply First two numbers

(-x) (-y) = + x y  as (-)(-) = +

Multiply by third numbers

(+x y) (-z) = -x y z   as ( +)(-) = -

Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.

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Answer:

Yes, she is correct.

The lateral surface area of prism is 240cm2, total surface area is 250cm2 of prism , the volume of prism is 100cm2.

What is lateral surface of prism?

The lateral surface area of the right triangular prism (LSA) = ah + bh + ch (or) (a + b + c) h, where a, b and c are the bases of the rectangular faces and h is the common height or the total height of the prism. Also, (a + b + c) is the perimeter of the base (triangle).

What is total surface area of prism?

The total surface area of a right prism is T. S. A. = PH+2A, where P is the base perimeter, A is the base area, and H is the height of the prism.

What is volume of prism?

The formula for the volume of a prism is given by the product of the base and height of the prism. Thus, the volume of a prism can be given as V = B × H where V is the volume, B base area, and H height of the prism.

Given that,

The sides of prism are a=3cm, b= 4cm, c= 5cm

Also given that the height of the prism is h=20cm.

The lateral surface area of prism (LSA) = ah + bh + ch

Lateral surface area of prism = (3)(20)+(4)(20) +(5)(20)

Lateral surface area of prism = 60 + 80 + 100

Lateral surface area of prism = 240 cm2

The Total surface area of prism (TSA) = ph+2a

Total surface area = (LSA) + area of 2 bases

Total surface area = 240 + 2(5)

Total surface area = 250cm2

The volume of prism = base x height

Volume of prism = 5 x 20

Volume of prism = 100cm2.

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Step-by-step explanation:

2x + 3 = -5

2x = -8

x = -4

3x - 6 ≥ -3

3x ≥ 3

x ≥ 1

|2x + 5| ≤ - 7

NO SOLUTION

Why?

since the absolute value is always positive, there is no way that it would be less than or equal to -7

a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.

b. The difference in feet between car A and car B after 10 seconds is 4 feet

c. To tell which car is in the lead,

Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.

Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.

The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.

So, d(t) = f(t) - g(t)

= 0.25t² + 22t - 1 - ( -0.1t² + 25t)

= 0.25t² + 22t - 1 + 0.1t² - 25t

= 0.35t² - 3t - 1

So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.

Since the difference in distance in feet between car A and car B  is d(t) = 0.35t² - 3t - 1.

To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).

So, d(t) = 0.35t² - 3t - 1.

d(10) = 0.35(10)² - 3(10) - 1

= 0.35(100) - 30 - 1

= 35 - 31

= 4 feet

So, the difference in feet between car A and car B after 10 seconds is 4 feet

Since the difference in distance in feet between car A and car B  is d(t) = 0.35t² - 3t - 1

= f(t) - g(t)

Since

So, to tell which car is in the lead,

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Based on the length of the subway sandwich, the length of the larger pieces is 11 feet.

Assume that the length of the shorter pieces is x.

The length of the larger pieces is therefore 5 + x.

The relevant equation to find the length is:

52 = x + x + x + x +x + 5 + x + 5 + x

52 = 7x + 10

x = (52 - 10) / 7

= 6 foot

The length of the larger pieces is:

= 5 + x

= 5 + 6

= 11 foot

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first off let's keep in mind that an absolute value is really a ± equation in disguise, so |5x -4| can pretty much be rewritten as ±(5x - 4), so is a dual equation, let's solve both for "x".

[tex]|5x-4|\leqslant 3x\implies \pm(5x-4)\leqslant 3x \\\\[-0.35em] ~\dotfill\\\\ +(5x-4)\leqslant 3x\implies 5x-4\leqslant 3x\implies 2x-4\leqslant 0\implies 2x\leqslant 4 \\\\\\ x\leqslant \cfrac{4}{2}\implies {\LARGE \begin{array}{llll} x\leqslant 2 \end{array}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]-(5x-4)\leqslant 3x\implies (5x-4)\stackrel{\stackrel{notice}{\downarrow }}{\geqslant} -3x\implies 8x-4\geqslant 0 \\\\\\ 8x\geqslant 4\implies x\geqslant \cfrac{4}{8}\implies {\LARGE \begin{array}{llll} x\geqslant \cfrac{1}{2} \end{array}}[/tex]

Check the picture below.

1) This is an arithmetic sequence and the complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)This is a geometric sequence and the complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3) This is an arithmetic sequence and the complete sequence is given as; 2, 5, 8, 11, 14, 17, .....

4) This is an arithmetic sequence and the complete sequence is given as; 30, 24, 18, 12, 6,.....

1) The sequence is given as;

5, 10, 15, ___, 25, 30, _____

This is an arithmetic sequence with the formula;

a_n = 5 + (n - 1)d

In this case, the common difference is;

d = 10 - 5 = 5

The complete sequence is;

5, 10, 15, 0, 25, 30, 35,....

2)The sequence is given as;

20, 10, ___, 2.5,  _____, .....

This is an geometric sequence with the formula;

a_n = 20r^(n - 1)

In this case, the common ratio is;

r = 10/20 = 1/2

The complete sequence is given as;

20, 10, 5, 2.5, 1.25, .....

3)The sequence is given as;

2, 5, 8, ___, 14,  _____, .....

This is an arithmetic sequence with the formula;

a_n = 2(n - 1)d

In this case, the common difference is;

d = 5 - 2 = 3

The complete sequence is given as;

2, 5, 8, 11, 14, 17, .....

4) The sequence is given as;

30, 24, ___, 12, 6,.....

This is an arithmetic sequence with the formula;

a_n = 30(n - 1)d

In this case, the common difference is;

d = 24 - 30 = -6

The complete sequence is given as;

30, 24, 18, 12, 6,.....

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According to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that; 0 + x + 13 is equal to 13 + x

We are told that the Transitive Property states that if a = b and b = c, then a = c.

Now, if a = 3 for example, then by the transitive property, it means that b and c must both also be 5.

Now, we want to apply the the transitive property to show that the expressions 0 + x + 13 and 13 + x are equivalent.

Now, the expression 0 + x + 13 is equal to x + 13.

Now, according to transitive property, 0 + x + 13 = x + 13 and also x + 13 is equal to 13 + x. Thus, we can equally say that;

0 + x + 13 is equal to 13 + x

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The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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The student said you.can add the same number to both terms of a ratio to find an equivalent ratio. This is wrong.

It should be noted that equivalent ratios are the ratios that are the same.

In this case, the student said you.can add the same number to both terms of a ratio to find an equivalent ratio. It should be noted that this is incorrect.

The proper thing is to multiply.

For example, 3/4 will be 3 × 2 / 4 × 2 = 6/8. This is the equivalent fraction.

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Answer:

yeah

Step-by-step explanation:

yup

Answer:

9600 divided by 30 is 320

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The proposition with three variable p, q and r are as -

C = (p∧q∧¬r)∨(p∧¬q∧r)∨(¬p∧q∧r)

A proposition is defined as a statement that expresses an idea, suggestion, or plan. A proposition is the notion that death penalty is an effective way to reduce crime.

Now, as per the given question-

Because these propositions have become mutually exclusive, C is true if and only if one of the three is true (and false otherwise).

This is only possible if two of p,q, & r are true while the third is false.For instance,  (p∧q∧¬r)  is true once p and q are true but r is false.

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On the first day of class, a statistics professor asked her students to report their grade point averages (gpas) as part of a class survey. for those students who knew their gpas, the histogram was Left skewed.

The meaning of grade point averages?

What exactly does a 4.0 GPA mean?

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Lower-level offenders are more likely to be prosecuted than higher-level offenders.

Therefore, lower-level offenders are more likely to be prosecuted than higher-level offenders.

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Answer:

690

Step-by-step explanation:

The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.

Hope this helps, have a good day! :D

Answer: ∑=690

Step-by-step explanation:

Let's use the formulas for an arithmetic progression:

[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]

Divide both parts of the equation by 3:

[tex]20=n[/tex]

Thus,

[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]

Answer:

Statistical inference

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ramon is correct to write the expression (1/12)⁴ that can be rewritten as 1/12⁴.

Use the concept of exponent defined as:

Exponentiation is the process of expressing huge numbers in terms of powers. That is, exponent refers to the number of times a number has been multiplied by itself.

Given that,

Ramon says that (1/12)⁴ can be rewritten as 1/12⁴.

And, Jamal says that it cannot.

Here, the expression is,

(1/12)⁴

Apply the rule of exponent as

1⁴ / 12⁴

1 / 12⁴

Hence, Ramon is correct to write the expression.

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Answer:

C) 240ma

Step-by-step explanation:

Answer:

a=79

Step-by-step explanation:

you just have to make "a" the subject of the formula so as to solve for "a"

a=47+32=79

Answer:

Step-by-step explanation:

6x + 3 = 2x - 9

6x - 2 x = -9 - 3

4x = -12

x = -12 : 4

x = -3

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

CHECK

6 * (-3) = 2* (-3) - 9

-18 = -15

the equation is false

Answer:

The terms are 2, 6 and 12

The sum  is 20

Step-by-step explanation:

n      n + 1            n(n+1)
--      -------           ---------
1         2               1 x 2 =  2
2        3               2 x 3 =  6
3         4               3 x 4 = 12
The terms are 2, 6 and 12
The sum  is 2 + 6 + 12 = 20

Answer: 99,999

Step-by-step explanation: