Simplify the below expression.

Answer:

==================================

a1 = 85 = first term

d = -4 = common difference

an = a1 + d(n-1)

an = 85 - 4(n-1)

an = 85 - 4n + 4

an = -4n+89

a10 = -4*10+89

a10 = 49 is the tenth term

Answer:

Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6 = 108.

Answer:

The temperature of the room is 25 degree Celsius

Step-by-step explanation:

The complete question is

Water boils at 100 ° C. This is 400 % percent more than my room's temperature. What is the temperature of room

Solution

Temperature at which water boils is 100 degree Celsius

Temperature of room is 400 % of X

[tex]100 = \frac{400}{100} * X\\100 = 4 * X\\X = \frac{100}{4} = 25[/tex]

Hence, the temperature of the room is 25 degree Celsius

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

An unbalanced connection between two expressions or values is referred to in mathematics as an inequality. So, inequity results from imbalance. In mathematics, an inequality defines the connection between two non-equal quantities. Egality and inequality do not mean the same thing. Use the not equal sign whenever two values are not equal (). It is possible to compare values of any size using a variety of inequalities. By changing both sides until only the variables are left, it is possible to solve many straightforward inequality problems.

Here,

Given :  3x + 4y ≤ 20.

where x is the no of apples

and y is the no of grapes

Thus,

Part a:

where x is the no of apples

and y is the no of grapes

Part b:

Inequality signs means that 20 will be the maximum amount of the no of apples and no of grapes summation.

Part c: ordered pair (3, −4)

Thus,

putting in the inequality we find:

=> 3(-3)+ 4(-4)

=> -6 -16

=> -22

Thus , it is not a solution for inequality.

Therefore , the solution to the given problem of inequality comes out to be Part a:where x is the no of apples and y is the no of grapes , Part b:Inequality sign and Part c:  ordered pair (3, −4) isn't solution.

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Answer:

The answer is "Find the tallest stack of dots".

Step-by-step explanation:

In this question, we assume that the prices of the plot area on the X (horizontal), and the Y (Vertical) axis are on the cell phone. This price is 90 dollars. Whenever the price is X1, she sets a dot there. When brand X2 is that price also, it places a coordinate point ($90, X2) well above point on either brand at the same price. Therefore, the bigger pile of teams overall that the rates are more mobile phones.

Answer:

C. 94

Step-by-step explanation:

|A| = [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]

det(A) = a * [tex]\left[\begin{array}{ccc}e&f\\h&i\\\end{array}\right][/tex] - b * [tex]\left[\begin{array}{ccc}d&f\\g&i\\\end{array}\right][/tex] + c * [tex]\left[\begin{array}{ccc}d&e\\g&h\\\end{array}\right][/tex]

OR

det(A) = aei - afh - bdi + bfg + cdh - ceg

|A| = [tex]\left[\begin{array}{ccc}-2&-2&-5\\2&7&-3\\8&9&9\end{array}\right][/tex]

det(A) = -2 * [tex]\left[\begin{array}{ccc}7&-3\\9&9\\\end{array}\right][/tex]  - (-2) * [tex]\left[\begin{array}{ccc}2&-3\\8&9\\\end{array}\right][/tex] + (-5) * [tex]\left[\begin{array}{ccc}2&7\\8&9\\\end{array}\right][/tex]

OR

det(A) = (-2)(7)(9) - (-2)(-3)(9) - (-2)(2)(9) + (-2)(-3)(8) + (-5)(2)(9) - (-5)(7)(8)

det(A) = 94

Answer:

Read below

Step-by-step explanation:

Step 1: Multiply 2 by x: 2x

Step 2: Add 1 to 2x: 2x + 1

Step 3: Substitute x with 7: 2(7) + 1

Step 4: Multiply 2 by 7: 14 + 1

Step 5: Add 1 to 14: 14 + 1 = 15

Answer:

4x + 3

10x² - 7x + 3

18x² - x + 5

Step-by-step explanation:

A polynomial must consist of 2 terms, one with a variable ( x ) and one as a constant ( any number )

An example of a number with a variable is 4x

An example of a constant is 3

add the two together 4x + 3 and you get a polynomial

More examples are 5x + 9 or -2x - 8

Polynomials can have more than 2 terms. ( the third term has an exponent and variable )

An example of a polynomial with more than 2 terms  is 10x² - 7x + 3

The expression when Buffalo New York had 2ft of snow on the ground before a snowstorm is 2 - 0.25h.

From the information, Buffalo New York had 2ft of snow and we want to find the. expression based on the information given.

An expression have at least two terms which have to be related by through an operator.

Since Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. The expression will be:

2 - (25% × h)

= 2 - 0.25h

h = number of hours.

The expression is 2 - 0.25h.

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Complete question

Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. Illustrate the expression

The function y = -2x + 9 have ordered pairs (-4, 17), (-2, 13), (0, 9), (2, 5) and (4, 1)

An equation shows how two or more numbers and variables are related to each other.

The standard linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that:

y = -2x + 9

When x = -2; y = -2(-2) + 9 = 13

When x = 0; y = -2(0) + 9 = 9

When x = 2; y = -2(2) + 9 = 5

When x = 4; y = -2(4) + 9 = 1

The function y = -2x + 9 is a linear equation

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The value of the expression using the distributive property is 5x + 50.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5 (x - 10)

The distributive property of multiplication over addition states that,

a x (b +  c) = a x b + a x c

Now,

5 (x - 10)

= 5x + 5 x 10

= 5x + 50

Thus,

The expresssion is 5x + 10

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Answer:

D

Step-by-step explanation:

It's the most logical of them all, it can't be A, it wouldn't make sense if it's C, and for D it says 6 if -5<x<-1 and it has the little line on 6 for y, it sounds a little complicated but that's my logic

Answer:

Trina is 45 years old.

Her grandfather is 50 years old.

Step-by-step explanation:

Trina is 5 years younger than grandfather, therefore:

45+50 = 95

The ratio of the volume of the cone to the cylinder is 1:3.

A cone has a circular base and the base is made of a radius and diameter.

A cylinder is a three-dimensional solid shape that makes of two parallel bases linked by a curved surface.

                   V1=  πr²h

Here,

'r' is the radius of the cylinder

'h' is the height of the cylinder

π is a constant whose value is 22/7.

The ratio of the volume of the cone to the cylinder is

=  (1/3)πr²h :  πr²h

= 1 : 3

So, the ratio is - 1:3.

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Answer:

f) 5x 3

Step-by-step explanation:

You do multiplication first

The == operator determines if two operands are equivalent in terms of value. The === operator determines if two operands are equivalent in terms of value and datatype.

The assignment operator = is straightforward. The left side operand receives values from the right side operands.

On the other hand, == determines whether or not the values of two operands are equal.

The Python is operator determines if two variables point to the same memory item as opposed to the == operator, which compares the value or equality of two objects. This implies that you should almost always employ the equality operators == and != Difference between == and = in Python.

A single equal sign is used to assign a value to a variable in Python and many other programming languages, whereas two successive equal signs are used to determine if two expressions provide the same result.

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Answer:

21/4

Step-by-step explanation:

(5 * 4) + 1

20 + 1

21/4

The numerical coefficient in 3xy is 3.

In algebraic expressions, terms are made up of coefficients and variables. A coefficient is a numerical value that multiplies a variable or a set of variables. In the term 3xy, the numerical coefficient is the number that appears in front of the variable (x and y) and it's 3 in this case.

It is used to indicate the degree of the term or the number of times the variable is present in the term. In this case, it is indicating that the variable x and y are present three times in the term.

It's important to note that if there is no coefficient before the variable, it is assumed to be 1. It's also noteworthy that the coefficient can be a whole number, a fraction, or even a variable, but in this case it is a whole number. Understanding the concept of coefficient is very important in understanding algebraic equations and expressions.

The numerical coefficient in 3xy is 3.

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Answer: 290 yd^2

Step-by-step explanation:

Tip: split the shapes into areas that are easier to compute

Rectangle 1 = bh = 10yd x 28 yd = 280 yd^2

Rectangle 2 = bh = 2yd x (10-5)yd = 10 yd^2

280 yd^2 + 10 yd^2 = 290 yd^2

Answer:

(a) Neither

(a) Perpemdicular

Step-by-step explanation:

Required

Determine the relationship between given lines

(a)

[tex]y = -\frac{2}{5}x + 3[/tex]

and

[tex]y = \frac{2}{5}x + 7[/tex]

An equation written in form: [tex]y=mx + b[/tex] has the slope:

[tex]m \to slope[/tex]

So, in both equations:

[tex]m_1 = -\frac{2}{5}[/tex]

[tex]m_2 = \frac{2}{5}[/tex]

For both lines to be parallel

[tex]m_1 = m_2[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} \ne \frac{2}{5}[/tex]

For both lines to be perpendicular

[tex]m_1 * m_2 = -1[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} * \frac{2}{5} \ne -1[/tex]

(b)

[tex]5y + 2x = -10[/tex]

and

[tex]-5x + 2y = 4[/tex]

Write equations in form: [tex]y=mx + b[/tex]

[tex]5y + 2x = -10[/tex]

[tex]5y = -2x +10[/tex]

Divide by 5

[tex]y = -\frac{2}{5}x +2[/tex]

[tex]-5x + 2y = 4[/tex]

[tex]2y = 5x + 4[/tex]

Divide by 2

[tex]y = \frac{5}{2}x + 2[/tex]

In both equations:

[tex]m_1 = -\frac{2}{5}[/tex]

[tex]m_2 = \frac{5}{2}[/tex]

For both lines to be parallel

[tex]m_1 = m_2[/tex]

This is false in this case, because:

[tex]-\frac{2}{5} \ne \frac{5}{2}[/tex]

For both lines to be perpendicular

[tex]m_1 * m_2 = -1[/tex]

This is true in this case, because:

[tex]-\frac{2}{5} * \frac{5}{2} = -1[/tex]

Cancel out 2 and 5

[tex]-1 = -1[/tex]

Answer: 274 votes

Step-by-step explanation:

Since we are informed that in a a​ poll that 411 students voted and Nominee C received ⅔ of the votes.

Therefore, the number of votes that Nominee C ​received will be:

= ⅔ × 411

= 274

Therefore, Nominee C got 274 votes

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer: 108° ; 165°

Step-by-step explanation:

180(n - 2) is the formula to figure out the total degrees in a polygon.

A pentagon has 5 sides, so:

180(5-2) = 180(3) = 540°

Divide the total degrees by the number of angles (a pentagon has 5 angles):

540° ÷ 5 = 108°

24-gon:

180(24 - 2) = 180(22) = 3960°

3960° ÷ 24 = 165°

Answer:

It could be 3x - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

the two diagonals of a rectangle have the same middle point

middle point

x = (2-4)/2 = -1

y = (1+4)/2 = 5/2

The diagonal BD must have the same middle point, so we can find vertex D in this way

(x +2)/2 = -1

x+2 = -2

x = -4

(y+4)/2 = 5/2

y+4 = 5

y = 1

fourth vertex :  (-4, 1)

2) for find the first dimension we can use this formula

|y2 - y1| = |4-1| = 3

for find the second we can use this one:

|x2-x1| = |-4-2| = |-6| = 6 (a dimension can’t be negative)

3)

A = dimension 1 x dimension 2 =  3 x 6 = 18

Answer:they for it right

Step-by-step explanation:

....

Answer:

3.844 x 10 to the power of 5 is the answer i think

Step-by-step explanation:

Answer:

If the other person is correct then it should be 3.844 x 10^5 and 3.844E5 as well

Step-by-step explanation:

One mole consists of 6.02214076×10²³ units which is Avogadro's number. Thus one mole is known as Avogadro's number.

What is one mole?

A mole is 6.02214076×10²³ of any chemical unit, including atoms, molecules, ions, and others. Due to the large number of atoms, molecules, or other components that make up any substance, the mole is a useful measure to utilize. The mole was initially defined as the quantity of atoms contained in 12 grammes of carbon-12, but the General Conference on Weights and Measures declared in 2018 that the mole will only contain 6.02214076×10²³ of some chemical unit as of May 20, 2019.

In chemistry, a mole, sometimes spelled mol, is a common scientific measurement unit for significant amounts of very small objects like atoms, molecules, or other predetermined particles.

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Answer:

d. Atlantic Ocean

Answer:

Atlantic Ocean