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1. A is located ( 1,-1) and B is located (4,4) Find the coordinates of point p that partition
AB in the ratio 1:4. 03
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Answer:

(A). y = - 60 x + 500

Step-by-step explanation:

( 0 , 500 ) -----> b = 500

( 5 , 200 )

m = \(\frac{200-500}{5-0} \) = \(\frac{-300}{5} \) = - 60

y = - 60 x + 500

Answer:

140 for andre and elena will have 110 dollars

-8-10,-12-14

-8 plus -12 is -20

-20 times 5 is -100

-14 times 8 is -112

-100 is 12 more than -112

Answer: Yes it does.

Step-by-step explanation:

The empirical probability of rolling a 3 is 467% more than its theoretical probability

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A six-sided pass-on from obscure predisposition is moved multiple times, and the number 3 comes up multiple times. In the following three adjustments (the bite of the dust is moved multiple times in each round), the number 3 comes up 6 times, 5 times, and 7 times.

Then empirical probability is given as,

P = (6/20) x (5/20) x (7/20)

P = 21/800

P = 0.02625

The theoretical probability is given as,

P = (1/6) x (1/6) x (1/6)

P = 1 / 216

P = 0.004629

Then the percentage is given as,

Percentage = [(0.02625 - 0.004629) / 0.004629] x 100

Percentage = 467%

The empirical probability of rolling a 3 is 467% more than its theoretical probability

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With plan A and B John will save 2800 and 2000 $ respectively.

Savings are the funds left over after subtracting a person's consumer spending from their disposable income during a certain time period. After all expenses and responsibilities have been met, savings signifies a net excess of funds for a person or household.

plan A formula is y = 800 + (200 * x)

plan B formula is y = 1500 * 15% * x

when x = 10, you get:

plan A = 2800

plan B = 2000

plan A has 800 dollars more than plan B.

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Answer:

X=25

Step-by-step explanation:

All angles of a triangle add up for 180

We know that there is a 90 degree right angle.

So (x+25)+(2x-10)=180-90

Remove parenthesis since they don't matter in this problem.

x+25+2x-10=90

Combine similar terms

3x+15=90

Subtract 15 from both sides

3x=75

Divide both sides by 3

x=25

The graph that represents Ramon's initial step is, On a coordinate plane, the point (0, 3) is graphed.

The ordinate and abscissa of the x coordinate, along with two values specified in parentheses in a specific order, make up an ordered pair.

Pair in Order = (x, y) where x represents the abscissa, the measure of a point's separation from the main axis, and y represents the ordinate, the measure of a point's separation from the secondary axis.

Given, Ramon is graphing the function f(x) = 3 + (4)x.

We know the initial value of a function is determined when the independent variable is set to zero.

Here the independent variable is 'x'.

Now, at x = 0,

f(0) = 3 + (4)(0).

f(0) = 3.

So, The ordered pair is (0, 3).

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Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, find the slope of the given line by finding two points. (0, 3) and (1, 1)

Use the equation for slope rise/run to find the slope.

From the left point to the right point, it goes down 2 units and to the right by 1 unit

-2/1 = -2 = slope

We already know the y-intercept which is  y = 3, when x=0 and when the line crosses the y-axis

y=-2x+3 is the equation of the line.

Perpendicular line's slope is the opposite reciprocal of the original line's slope. Opposite reciprocal of -2 would be 1/2

y = 1/2(x)

y=1/2x -5/2

Answer:

15 units^2

Step-by-step explanation:

Formula for area:

length × width or l × w

Count the length of BA or CD (they should equal the same):

Length (l) = 5 units

Count the width of AD or BC (they should equal the same):

Width (w) = 3 units

Plug these numbers into the formula:

5 units × 3 units

15 units^2

Answer:

4/15

Step-by-step explanation:

Answer:

Ben painted \(\frac{4}{15}\) of the room

Step-by-step explanation:

For this, you must add \(\frac{2}{5} + \frac{1}{3}\)

5 (3) = 15

In order to get 5 to 15, you multiply by 3, therefore

2(3) = 6

In order to get 3 to 15, you multiply by 5, therefore

1(5) = 5

Which means you now have,

\(\frac{6}{15} + \frac{5}{15}\)

Which is equal to

\(\frac{11}{14}\)

Now an equation can be set up

11 + X = 15

-11         -11

X = 4

Ben painted \(\frac{4}{15}\) of the room

-Hope this helps!

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = \(\frac{1}{3}\pi r^{2}h\)

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = \(\frac{1}{3}\pi (8.6)^2(14.3)\)  [ radius = \(\frac{17.2}{2}=8.6\) ]

             = \(\frac{1057.628\pi }{3}\)

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

Answer:

146.6 ft3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total spent - discount = total cost of books:

$58 - $7 = $51

Total cost of books ÷ cost of each book:

$51 ÷ $5 = 10.2 books

(The math is right, but the answer doesn't really make sense, so double-check the question, or round. I may also just be wrong. Just FYI)

The topic of an informational writing piece is the subject or focus of the writing. It refers to the main idea or subject matter that the writer intends to convey to the reader. The topic is what the entire writing piece is all about, and it is usually stated in the introduction or thesis statement.

In informational writing, the topic serves as a guide for the writer to organize and present information to the reader in a logical and coherent manner. The writer uses different strategies to help the reader understand the topic, such as providing examples, definitions, and supporting evidence. The topic also helps the writer to stay on track and avoid veering off course into irrelevant information.

Moreover, the topic of an informational writing piece should be clearly defined and specific, allowing the writer to provide in-depth information and analysis. This helps the reader to gain a deeper understanding of the subject matter and draws them in to read more. A clear and specific topic also helps the writer to stay focused and avoid ambiguity or confusion.

Overall, the topic is the foundation of an informational writing piece, providing the framework for the presentation of information and analysis. It is important for the writer to carefully choose and define the topic, ensuring that it is relevant and interesting to the reader.

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Answer:

Step-by-step explanation:

None of them

The length of a standard basketball court is 94 feet (28.65 meters), and the width is 50 feet (15.24 meters).

A standard basketball court is rectangular in shape and follows certain dimensions specified by the International Basketball Federation (FIBA) and the National Basketball Association (NBA). The length and width of a basketball court may vary slightly depending on the governing body and the level of play, but the most commonly used dimensions are as follows:

The length of a basketball court is typically 94 feet (28.65 meters) in professional settings. This length is measured from baseline to baseline, parallel to the sidelines.

The width of a basketball court is usually 50 feet (15.24 meters). This width is measured from sideline to sideline, perpendicular to the baselines.

These dimensions provide a standardized playing area for basketball games, ensuring consistency across different courts and facilitating fair play. It's important to note that while these measurements represent the standard dimensions, there can be slight variations in court size depending on factors such as the venue, league, or specific regulations in different countries.

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Answer:

D, y=-5/4x+2

Step-by-step explanation:

the slope always comes before "x", and the y-intercept comes last when written in slope intercept. So y=-5/4x+2 is correct.

Answer:

Set of all real numbers

Step-by-step explanation:

When we talk of domain, we mean the possible values of x that the equation can take without being undefined

So x-values that makes the equation defined are the domain of the graph

From the diagram, we can see that the graph extends from negative infinity to positive infinity

What this mean is that the possible values here come from the top right and extends to the left

So this means that the range of possible values are the set of all real numbers

The sοlutiοn οf the given equatiοn is x=7 and cοrrect.

The equal sign ('=') cοnnects twο expressiοns tο fοrm a mathematical statement. There needs tο be at least οne unknοwable variable fοr the result tο be determined. An example οf an equatiοn is 3x - 8 = 16. When this equatiοn is sοlved, the result is x = 8.

Part A:

Given equatiοn is

3x+2(4+6x)= 113----------(1)

Multiplying the bracket term by 2 we get

3x+8+12x=113

Arranging the similar terms in the left hand side we get,

3x+12x+8=113

Subtracting 8 frοm bοth sides we get,

3x+12x+8-8=113-8

⇒(3x+12x)= 105

Adding the similar terms in the left hand side we get,

15x = 105

Dividing bοth sides by x= 105/15=7

Sο sοlving the equatiοn we get x=7.

Part B:

Checking fοr the sοlutiοn:

If the sοlutiοn is right then putting the value οf x in the left hand side οf the  given equatiοn will prοduce the right hand side.

putting x=7 in the left hand side οf equatiοn (1),

3x+2(4+6x)

= 3×7+2(4+6×7)

= 21+2(4+42)

= 21+ 2×46

= 21+ 92

= 113

Which is the right hand side οf equatiοn (1).

Sο, the sοlutiοn is cοrrect and checked.

Hence, the sοlutiοn οf the given equatiοn is x=7 and cοrrect.

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Answer:

≈ 5.3 cm.

Step-by-step explanation:

If 1 cm. represents 75 km. then dividing that by 400 to get 5.3333.. or just 5.3, we can safely say that on a map, two towns that would be 400 km. apart, would only appear a bit over 5 cm. apart on a map!

Answer:

665

Step-by-step explanation:

kmnbvcxsdrftyuiol,m nbvcxsdftgyhuio

Answer:

s = s

f < 4 = s

Step-by-step explanation:

The inequality that would represent the possible values for the number of hours walking dogs is 9d + 8c ≥ 130

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let number of hours walking dogs = d

Let number of hours clearing tables = c

The appropriate inequality is 9d + 8c ≥ 130.

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Answer:

6/2

2/6

6/6

2/2

Step-by-step explanation:

(t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

(A) An augmented matrix for a system of equations is a matrix of numbers where each column represents all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system's augmented matrix is shown here:

\(\left[\begin{array}{cccccc|c}1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 & 0 \\0 & 1 & 1 & 1 & -\frac{1}{2} & -\frac{1}{2} & 0 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(B) Use these row operations to convert this augmented matrix to a reduced echelon form.

Here is the augmented matrix's reduced echelon form:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10\end{array}\right]\)

(C) There are more rows:

\(\begin{array}{lllllll}0 & 0 & 0 & 0 & 0 & 1 & 20\end{array},\\\begin{array}{lllllll}1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\)

Augmented matrix:

\(\left[\begin{array}{ccccccc}1 & 0 & 0 & 0 & 0 & \frac{1}{2} & 15 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & -\frac{1}{2} & -\frac{1}{2} & -11 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 0 & 1 & 20 \\1 & 1 & 1 & 0 & 0 & 0 & 50\end{array}\right]\)

(D) You must employ these row operations in order to solve the system.

\(\left[\begin{array}{lllllll}1 & 0 & 0 & 0 & 0 & 0 & 5 \\0 & 1 & 0 & 0 & 0 & 0 & 1 \\0 & 0 & 1 & 0 & 0 & 0 & 44 \\0 & 0 & 0 & 1 & 0 & 0 & 10 \\0 & 0 & 0 & 0 & 1 & 0 & 90 \\0 & 0 & 0 & 0 & 0 & 1 & 20\end{array}\right]\)

Therefore, (t₁......t₆) = (5, 1, 44, 10, 90, 20) is the solution of the given matrix.

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The statements that are always true regarding the diagram of angles are m∠5 + m∠6 = 180°, m∠2 + m∠3 = m∠6 and m∠2 + m∠3 + m∠5 = 180°. So, the correct options are C), D) and E).

From the attached diagram we can observe that the angle 2, angle 3 and angle 5 are the interior angles of the triangle.

So, the sum of these angles must be 180°

⇒ m∠2 + m∠3 + m∠5 =  180°

By Exterior Angle Theorem,

m∠5 + m∠2 = m∠4

Also, m∠2 + m∠3 = m∠6

We know that the sum of the adjacent interior and exterior angles is 180°.

So,  m∠5 + m∠6 =180°

So, the correct answer are C), D) and E).

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--The given question is incomplete, the complete question is given below " Which statements are always true regarding the diagram? Select three options.

a, m∠5 + m∠3 = m∠4

b, m∠3 + m∠4 + m∠5 = 180°

c, m∠5 + m∠6 =180°

d, m∠2 + m∠3 = m∠6

e, m∠2 + m∠3 + m∠5 = 180° "--

Answer:4

Step-by-step explanation:

Answer:

4 or 2

Step-by-step explanation:

The absolute value of the complex number, 2i, is 2.

Answer:

Step-by-step explanation:

Answer:

The answer is -3 - 5y/3

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly please?

The probability that at least one of the pets selected is a puppy is approximately 0.7887 or 78.87%.

To calculate the probability that at least one of the pets is a puppy, we can find the probability of the complement event (none of the pets being a puppy) and subtract it from 1.

The total number of pets in the store is 6 puppies + 9 kittens + 4 lizards + 5 snakes = 24.

The probability of selecting a pet that is not a puppy on the first selection is (24 - 6) / 24 = 18 / 24 = 3 / 4.

Similarly, on the second selection, the probability of selecting a pet that is not a puppy is (24 - 6 - 1) / (24 - 1) = 17 / 23.

For the third selection, it is (24 - 6 - 1 - 1) / (24 - 1 - 1) = 16 / 22.

For the fourth selection, it is (24 - 6 - 1 - 1 - 1) / (24 - 1 - 1 - 1) = 15 / 21.

For the fifth selection, it is (24 - 6 - 1 - 1 - 1 - 1) / (24 - 1 - 1 - 1 - 1) = 14 / 20 = 7 / 10.

To find the probability that none of the pets is a puppy, we multiply the probabilities of not selecting a puppy on each selection:

(3/4) * (17/23) * (16/22) * (15/21) * (7/10) = 20460 / 96840 = 0.2113 (approximately).

Finally, to find the probability that at least one of the pets is a puppy, we subtract the probability of the complement event from 1:

1 - 0.2113 = 0.7887 (approximately).

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Answer:

y = -x + 3

Step-by-step explanation:

Given:

Coordinates are (2, 1) and (6, -3)

y = mx + c

For Coordinate (2, 1)

1 = m(2) + c

1 = 2m + c ........... Eq1

For Coordinate (6, -3)

-3 = m(6) + c

-3 = 6m + c ........... Eq2

From Eq2 - Eq1

6m - 2m = -3 - 1

4m = - 4

m = -1

From eq 1

1 = 2m + c

1 = 2(-1) + c

1 = -2 + c

c = 2 + 1

c = 3

So,

y = mx + c

y = (-1)(x) + 3

y = -x + 3