what is the slope of 10x + 5y = 30

Step 1

Given;

Step 2

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Thus, the answer is;

Answer:

  x -3y -3z = 0

Step-by-step explanation:

You want to write "City A has three times as many people as cities B and C combined" as an equation in standard form, letting x, y, z, w represent the populations of cities A, B, C, D, respectively.

The populations of cites B and C combined can be expressed by ...

  y +z

Three times the combined population is then ...

  3(y +z)

This is equal to the population of city A, so we can write ...

  x = 3(y +z)

This equation is in standard form when all of the variable terms are on one side of the equal sign, and the expression is simplified.

  x -3(y +z) = 0 . . . . . . . subtract the right side expression

  x -3y -3z = 0 . . . . . . . eliminate parentheses; standard form

The (equivalent) compound annual rate at which Anders' salary has grown during the 12 years is 4.9%.

The compound annual rate is the equivalent rate of interest at which the present value of money grows to attain a future value.

At a 4.9% compound annual rate, Anders' salary has been growing by adding the growth amount to the initial salary and compounding both the principal and subsequent interest amounts until 12 years.

N (# of periods) = 12 years

PV (Present Value) = $2,800

PMT (Periodic Payment) = $0

FV = $-4,971.23

Results:

I/Y (Interest per year) = 4.9%

Total Interest = $2,171.23

Thus, using the online finance calculator, we can determine that Anders' salary has been compounded at 4.9% annually.

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Dependent events: The likelihood of one event happening influences the likelihood of the other event happening.

When the result of one event affects the result of another, two events are said to be dependent events.

The likelihood of two connected events is the sum of the probabilities of the occurrences X and Y that happen after X.

The likelihood of one event does influence the likelihood of the other happening.

For instance, the likelihood of drawing another King decreases if you remove a King from a deck of cards without replacing it.

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Answer:

5(4 + 1).

Step-by-step explanation:

[tex]{ \rm{(30 \div 2) + 10 = 15 + 10}} \\ [/tex]

- Factorise out 5;

[tex]{ \tt{ = 5(3 + 2)}} \\ \\ = { \tt{5(4 + 1)}}[/tex]

An equation of the quadratic function in standard form is equal to -2x² - 7x - 6 = 0.

A quadratic function can be defined as a mathematical expression (equation) that can be used to define and represent the relationship that exists between two or more variable on a graph.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

y = f(x) = ax² + bx + c

Next, we would formulate a system of equations from the data contained in the table above:

-6 = a(-3)² + b(-3) + c  ⇒ -6 = 9a - 3b + c      .......equation 1.

0 = a(-2)² + b(-2) + c  ⇒   0 = 4a - 2b + c      .......equation 2.

-2 = a(-1)² + b(-1) + c  ⇒   -2 = a - b + c          .......equation 3.

From eqn. 2, we have:

c = -4a + 2b   .....equation 4.

Substituting eqn. 4 into eqn. 1 and 3, we have:

-2 = a - b - 4a + 2b          ⇒ -2 = -3a + b

-6 = 9a - 3b - 4a + 2b     ⇒ -6 = 5a - b

By using the elimination method, we have:

-8 = 2a

a = -4

For the value of b, we have:

-2 = -3a + b

b = -2 + 3a

b = -2 + 3(-4)

b = -2 - 12

b = -14

For the value of c, we have:

c = -4a + 2b

c = -4(-4) + 2(-14)

c = 16 - 28

c = -12.

Substituting the values of a, b and c into the standard form of a quadratic equation:

ax² + bx + c = 0

-4x² - 14x - 12 = 0

-2x² - 7x - 6 = 0

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Answer:

193 is it I'm not lying

Step-by-step explanation:

The value of absolute inequality will be given by 0.002 ≥ |x-3|.

Inequality may be defined as the expression which shows unequal behavior between two entities while absolute inequality expression includes inequality along with an absolute value. For example, |x| > 3, |x| <3, |x| ≤3 or |x| ≥3. Now, let us assume the length of the part in the question as x. Since, the desired length is given as 3mm and also the parts are within 0.002 mm of the desired specifications.

Therefore, the maximum length of the part can be = 3 + 0.002

and the minimum length of the part can be = 3 - 0.002

Therefore, we can write the inequality as

3 - 0.002 ≤ x ≤ 3 + 0.002

⇒ 3 - 0.002 ≤ x and x ≤ 3 + 0.002

⇒ -0.002 ≤ x-3 and x-3 ≤ 0.002

⇒ 0.002 ≥ -(x-3) and x-3 ≤ 0.002 (Because a > b ⇒ -a<-b)

⇒ 0.002 ≥ | x - 3 |

Thus, the required absolute inequality is 0.002 ≥ |x-3|.

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Answer:

A: |x - 3| ≤ 0.002

Step-by-step explanation:

Explanation:

Total number of students = 28

75% of 28 = 75% × 28

= 0.75 × 28 = 21

This means 21 students have met their reading goal

Fraction of 28 students that met their reading goal = 21/28

Divide numerator and denominator by 7

3/4

Attaching the label:

I omitted the first label on both lines: it should be 0 and 0% respectively

28/4 = 7

100%/4 = 25%

Each demacation represent 7 units on the first line

Each dividing line represent 25% on the second line

The solution for the equations x = 1 and y = 3

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

x + y=4

-x + y = 2

Add the equations

So, we have

2y = 6

Divide both sides by 2

y = 3

Substitute y = 3 in x + y = 4

x + 3 = 4

Evaluate

x = 1

Hence, the solution for the system of linear equations x + y=4 and -x + y = 2 are x = 1 and y = 3

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Answer:

The top and the bottom numbers are not in scientific notation; the other two are in scientific notation.

Given a figure of a right trapezoid

The bases are the sides, 4 and 6

And the height = 4

The area of the trapezoid = 1/2(sum of the bases) times the height

So, the area =

So, the answer will be: Area = 20 unit²

SOLUTION:

Case: Simple Interest

Method:

Simple Interest, I

Where

P= $500

R= 7.5% or 0.075

I= $225

Therefore, Time T

Final answer:

6 years

[tex]a < 8 -+ 6 \\ =a < 14[/tex]

The second option is the answer.

Answer:

3 red and 1 blue 3 of another color

Step-by-step explanation:

well you can converte the fraction 1/2 to 3/6 so ye i believe this is correct :) atleast i hope :)

A 22-inch piece of steel is divided into three parts, the length of 1st 2nd and 3rd piece are 3 inch,6 inch and 13 inch.

Given that,

A 22-inch piece of steel is divided into three parts, the second of which is twice as long as the first and the third of which is one inch longer than the first.

We have to find the parts' lengths.

Let us take, the length of the first piece is x inch.

Then the length of the second piece is 2x.

Then the length of the third piece is 4x + 1 inch.

We know total length of the steel is 22 inch.

We can write as,

x + 2x + 4x + 1 = 22

7x = 21

x = 3.

Then, the length of the first piece is 3 inch.

Then the length of the second piece is 2×3=6 inch.

Then the length of the third piece is 4×3 + 1=12+1=13 inch.

Therefore, the length of 1st 2nd and 3rd piece are 3 inch,6inch and 13 inch.

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The inequality is given to be:

Recall the Absolute Rule:

Applying this to the inequality, we have:

or

Therefore, the solution to the inequality is:

In this Matrix A= [-2     -3

                              3    12]

the matrix of A - 1 is

[-4/5    -1/5

 1/5    2/15]

According to the question, given that

[-2    -3

3     12 ]  ^ -1

First, we find the determinant

-2 * 12  - (-3 *3) = -24 - (-9) = -24 +9 = -15

Multiply 1 over the determinant by The matrix with the -2 and 12 switched and negate the -3 and the 3

1/-15 [12      3

         -3      -2 ]

after multiply by 1/ - 15, we get

[-4/5       -1/5

 1/5       2/15]

Therefore, In given Matrix A, after solving we get the value A- 1 is

[-4/5       -1/5

1/5       2/15]

Matrix

If there are m rows and n columns, the matrix is said to be an “m by n” matrix, written “m × n.” For example,

Matrix.  [ 5   6    3

               -2    3    2 ]

is a 2 × 3 matrix. A square matrix of order n have n rows and n columns. Ordinary numbers can be thought of as 1 1 matrices, making the number 3 the matrix [3]A row vector is a matrix with one row and n columns, and a column vector is a matrix with one column and n rows.

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If the account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1: The income statement is $186,750.

Income statement can be defined as the statement that help to shows the revenue and expenditure a company or an organization. When preparing income statement when the revenue amount is greater that the expenses the end result will be net income and in a situation were the expenses is higher than the revenue the end result will be net loss.

Now let prepare the income statement

Urgent Messenger Service Income Statement For the Year Ended November 30, 20Y1

Revenue:

Fees earned $724,500

Expenses:

Salaries expense $393,100

Rent expense $75,000

Utilities expense $41,200

Supplies expense $6,150

Insurance expense $5,000

Miscellaneous expense $6,650

Total expenses $537,750

Net income  $186,750

($724,500 - $537,750 )

Therefore the income statement is the amount of $186,750.

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The complete question is:

The following account balances were taken from the adjusted trial balance for Urgent Messenger Service, a delivery service firm, for the fiscal year ended November 30, 20Y1:

Depreciation Expense $10,650

Fees Earned 724,500

Insurance Expense 5,000

Miscellaneous Expense 6,650

Rent Expense 75,000

Salaries Expense 393,100

Supplies Expense 6,150

Utilities Expense 41,200

Prepare an income statement.

The standard equation of a circle is given by:

where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

For:

Rewrite the equation as:

We can conclude it is a circle with center at (-3,-1) and radius of 4

Midpoint formula

where (x1, y1) and (x2, y2) are two points and (xm, ym) are the coordinates of the midpoint between (x1, y1) and (x2, y2).

In this case, we want to find the coordinates of the midpoint between Y(0, -4b) and Z(-2a, 0). Substituting into the above formula:

Equation: h(t) = 96t - 16t²

h(t) = 96t - 16[tex]t^{2}[/tex]

Find the zeros of the given equation:

Factor out the greatest common factor (GCF)

h(t) = 8t (12 - 2t)

The two factors are:

0 = 8t

0 = 12 - 2t

For both factors, solve for t

8t = 0

8t/8 = 0/8

t = 0

12 - 2t = 0

-2t = -12

t = 6

Now we have the x-values (t) of our zeros:

t = 0

(0, 0)

t = 6

(6, 0)

The ball will land on the ground at 6 seconds

Recall that the maximum point of the graph is halfway between the two zeros:

6 + 0 = 6

6 ÷ 2 = 3

The ball will reach its maximum height in 3 seconds

To find this height, substitute t for 3 in the given equation, and solve for h:

t = 3

h(3) = 96(3) - 16(3)²

       = 288 - 16(9)

       = 288 - 144

       = 144

The maximum height the ball will reach is 144 feet

***Refer to the graph below to check your answer:

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

Explanation:

I'll use x in place of t

And use y in place of h(t)

The equation we have is y = 96x - 16x^2

This rearranges to y = -16x^2 + 96x

Compare this to y = ax^2+bx+c to find that

The x coordinate of the vertex is

h = -b/(2a)

h = -96/(2*(-16))

h = 3

Then plug this into the equation to find the value of y

y = -16x^2 + 96x

y = -16(3)^2 + 96(3)

y = 144

The y coordinate of the vertex is k = 144

The vertex is located at (h,k) = (3, 144) to represent the highest point of the parabola.

The max height of 144 feet occurs when the ball is in the air for 3 seconds.

Answer:

-3.15

Step-by-step explanation:

3/4 converted to a decimal is .75 so .75 + -3.9 is -3.15

Hope this helps! <3

Answer:

32?

Step-by-step explanation:

????????tell me if it is correct??

The larger number is 33 and the smaller number is 17.

Let the larger number be x

Then, the smaller number will be x-16

According to the question,

Larger number + smaller number = 50

So,

x+(x-16) = 50

2x = 50+16

2x = 66

x = 66÷2

x = 33

Hence,

Larger number = x = 33

Smaller number = x-16 = 33-16 = 17

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In the metric system, centimeters per minute (cpm) represents speed or velocity. It counts the centimeters that are covered in a minute.

65 mi/hr to 174346 centimeters per minute.

$1 mi/h = 2682.2346355307 cm/ min.

65 × 2682.2346355307 cm/min = 174345.2513095 Centimeters Per Minute.

Always check the results; rounding errors may occur.

The base unit of [speed] (meters per second), 1 Miles Per Hour (mi/h) exists equivalent to

0.44704 meters-per-second,

while 1 Centimeters Per Minute (cm/min) = 0.000166667 meters-per-second.

65 Miles Per Hour to common speed units

65 mi/ h = 65 miles per hour (mi/h)

65 mi/h = 1.0833333333333 miles per minute (mi/m)

65 mi/h = 174346 centimeters per minute

Therefore, the correct answer is 174346 centimeters per minute.

The base unit for speed is meters per second (Non-SI Unit)

[Miles Per Hour] symbol/abbreviation: (mi/h)

[Centimeters Per Minute] symbol/abbreviation: (cm/min)

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So basically you do 2096 divided by 8

Answer : 262 Minutes is alr i got u bro

the vectors are :  (i+5j) , (5i+j)

Here a vector is an object that has both a magnitude and a direction. Geometrically, able to picture a vector as a coordinated line fragment, whose length is the magnitude of the vector, and with an arrow demonstrating the direction. The direction of a vector is from its tail towards its head. Two vectors are the same on the off chance that they have the same magnitude and direction. We signify vectors utilizing boldface as in a or b. In the given graph we can see, for the vector T, it is 1 unit on the x-axis and 5 units on the y-axis, whereas for the vector S its 5 units on the x-axis and 1 unit on the y-axis. Since the unit vectors for the x-axis and y-axis are i and j,

So, the vectors will  i+5j and 5i+j

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