Choose the point-slope form of the equation of this line.​

Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.

What is mathematics?

Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.

Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.

Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.

Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.

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Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

Answer:

Slope = 3

y intercept = 35

Step-by-step explanation:

Given

x = time

y = letters that can not be scanned

Also, we have:

\((x_1,y_1) = (15,80)\)

\((x_2,y_2) = (45,170)\)

The slope is calculated as follows:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{170-80}{45-15}\)

\(m = \frac{90}{30}\)

\(m = 3\)

To calculate the y intercept, we need to determine the linear equation using:

\(y - y_1= m(x-x_1)\)

Substitute values for x1, y1 and m

\(y - 80 = 3(x - 15)\)

Open bracket

\(y - 80 = 3x - 45\)

Make y the subject

\(y = 3x - 45+80\)

\(y = 3x +35\)

An equation has the general form:

\(y=mx + b\)

Where

\(b= y\ intercept\)

By comparison:

\(b = 35\)

Answer:

really sorry

Step-by-step explanation:

u

Answer:

Is this a question?

Step-by-step explanation:

If it is, I will answer in the comments if i can

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

Answer:

63degrees

Step-by-step explanation:

I cant see the picture well but i assume that is an angle and it is right before 90 degrees

Answer:

Step-by-step explanation: OK so is A'B'C'D' a translation, rotation, or reflection of ABCD? OK so A'B'C'D' is a rotation i believe because like you i'm on the same thing. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? OK so A"B"C"D" is a reflection i believe i'm not really sure on that one. Suppose the measure of angle B is 89°. Which other angle must be 89°? OK so angle A, angle C, and angle B. But I really don't get what you trying to ask? Hope I kind of helped, like i said im in 8th grade and it is kind of hard for me too.

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

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The completed statement with regards to the area of the square and the rectangle are;

The estimated value of the length of the shaded square is 5·√5 inches. The estimated value of the area of the unshaded rectangle is 175 square inches.

The area of a square is the product of the side lengths which are congruent, therefore;

Area of a square = Side length, s × Side length, s = s²

The possible figure in the question includes;

A shaded square that is 125 square inches

An adjacent unshaded rectangle, that share a side with the square that has a side length of 7·√5 inches

Please find attached the possible drawing of the figure in the question, (not drawn to scale) obtained from a similar question posted online, created with MS Word.

Therefore;

The side length of the square = √(125) inches =  5·√5 inches

The estimated value of the side length of the square is; 5·√5 inches

The area of a rectangle = Length × Width

The length of the rectangle = 7·√5 inches

The width of the rectangle = 5·√5 inches

Therefore;

The area of the unshaded rectangle, therefore is; 5·√5 × 7·√5 = 175

The estimated area of the unshaded rectangle is 175 square inches

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Answer:

Number of cups water require for 30 muffins = 2.82 cups (Approx.)

Option "D"

Step-by-step explanation:

Given:

24 bran muffins required = 2.25 cups of flour

Find:

Number of cups water require for 30 muffins

Computation:

Assume;

Number of cups water require for 30 muffins = x

So,

24 / 2.25 = 30 / x

x = [30 × 2.25] / 24

x = 67.65 / 24

x = 2.8187

Number of cups water require for 30 muffins = 2.82 cups (Approx.)

Answer:

  (a)  twenty-eight ninths, square root of nineteen, cube root of eighty-eight

Step-by-step explanation:

When ordering a list of numbers by hand, it is convenient to convert them to the same form. Decimal equivalents are easily found using a calculator.

The attachment shows the ordering, least to greatest, to be ...

  \(\dfrac{28}{9}.\ \sqrt{19},\ \sqrt[3]{88}\)

__

Additional comment

We know that √19 > √16 = 4, and ∛88 > ∛64 = 4, so the fraction 28/9 will be the smallest. That leaves us to compare √19 and ∛88, both of which are near the same value between 4 and 5.

One way to do the comparison is to convert these to values that need to have the same root:

  √19 = 19^(1/2) = 19^(3/6) = sixthroot(19³)

  ∛88 = 88^(1/3) = 88^(2/6) = sixthroot(88²)

The roots will have the same ordering as 19³ and 88².

Of course, these values can be found easily using a calculator, as can the original roots. By hand, we might compute them as ...

  19³ = (20 -1)³ = 20³ -3(20²) +3(20) -1 = 8000 -1200 +60 -1 = 6859

  88² = (90 -2)² = 90² -2(2)(90) +2² = 8100 -360 +4 = 7744

Then the ordering is ...

  28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Answer:

the ordering is

28/9 < 19³ < 88²   ⇒   28/9 < √19 < ∛88

Step-by-step explanation:

Answer:

127.2 miles

Step-by-step explanation:

using the relationships

speed = \(\frac{distance}{time}\) ( time in hours ) = \(\frac{159}{2.5}\) = 63.6 mph

constant speed is 63.6 mph

then

distance = speed × time = 63.6 × 2 = 127.2 miles

Answer:

\(3 {x}^{2} - 15x - 18 = 0\)

\( {x}^{2} - 5x - 6 = 0\)

\((x + 1)(x - 6) = 0\)

x = -1 or x = 6

The coordinates of the zeroes are (-1, 0) and (6, 0).

Answer:

A horizontel line equation y=0x+-9 the slope is zero slope

Step-by-step explanation:

Answer:

The slope is 0.

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=(-9)-(-9)/14-8

m=0/6

m=0

Answer:

1.The distribution of the random digits is uniform

2.The distribution of the resulting sample are approximately normal

Step-by-step explanation:

1.Based on the information given Pollsters use randomly selected digits between 0 and 9 often in order to generate parts of telephone numbers to be called which means that the distribution of the randomly digits which was selected will be uniform reason been that there is an equal probability of selecting any of the numbers between 0 and 9.

2.The distribution of the resulting sample mean would be approximately normal reason been that the sample size is greater than 30.

The equation of the line with slope as -25 and containing point (10,-5)

is y = -25x +245

Given, we have slope m = -25

and the point = (10,-5)

we can frame the equation of the line in the following form:

slope intercept form.

The equation of a line is given by

y = mx+b where m is the slope and b is the y intercept

y =-25 x + b

Substitute the point into the equation

-5 = -25 (10) +b

-5 = -250 +b

-5+250 = b

245 = b

y = -25x +245

hence the equation of the line is y = -25x +245

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The batter ran a distance of 0.112 kilometers or approximately 112 meters.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A baseball diamond is made up of four bases, and the distance a batter runs for a single is from home plate to first base, then first base to second base, then second base to third base, and finally third base back to home plate.

So the total distance the batter runs is 4 times the distance from home plate to first base, which is 28 meters.

28 meters x 4 = 112 meters

To convert meters to kilometers, divide by 1000:

112 meters / 1000 = 0.112 kilometers

Thus, the batter ran 0.112 kilometers or approximately 112 meters.

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The value of the expression 18 + 4(28) will be 130.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The expression is given below.

⇒ 18 + 4(28)

Simplify the expression, then the value of the expression will be

⇒ 18 + 4 x (28)

⇒ 18 + 4 x 28

⇒ 18 + 112

⇒ 130

Thus, the value of the expression 18 + 4(28) will be 130.

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Answer:

(-11 + √165) / 22

Step-by-step explanation:

∑₂°° (1 + c)⁻ⁿ

= ∑₂°° (1 / (1 + c))ⁿ

= ∑₁°° (1 / (1 + c))ⁿ⁺¹

This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).

The sum of an infinite geometric series is:

S = a₁ / (1 − r)

Therefore:

11 = 1/(1+c)² / (1 − 1/(1+c))

11 = 1 / ((1+c)² − (1+c))

11 ((1+c)² − (1+c)) = 1

11 (1 + 2c + c² − 1 − c) = 1

11 (c + c²) = 1

11c² + 11c − 1 = 0

c = [ -11 ± √(11² − 4(11)(-1)) ] / 22

c = (-11 ± √165) / 22

c cannot be between -2 and 0, so c = (-11 + √165) / 22.

first 5 positive integers :

\(1 \: , \: 2 \: , \: 3 \: , \: 4 \: , \: 5\)

mean :

\(1+2+3+4+5+5\)

\(mean = \: 15÷5 \)

\(mean = \: 3\)

Mean = 3

To find- Mean of first five integers

Answer-

\(Mean = \frac{sum \: of \: observations}{number \: of \: observations}\)

\( = >mean = \frac{1 + 2 + 3 + 4 + 5}{5} \)

\( = > mean = \frac{15}{5} \)

\( = > mean = 3\)

~ Benjemin360

9514 1404 393

Answer:

  about 14.34%

Step-by-step explanation:

The percentage change can be found from ...

  % change = ((new value)/(old value) -1) × 100%

  = (132.17/154.30 -1) × 100%

  ≈ (0.8566 -1) × 100%

  = -14.34%

The decrease was about 14.34%.

Answer:

C.

Step-by-step explanation:

So we have the equation:

\(y=\sqrt{x-3}\)

This is a square root equation.

For square root equations, the radicand(s) must be positive.

Therefore, to find the domain, set the radicand to be greater than or equal to 0:

\(x-3\geq 0\)

Solve for x. Add 3 to both sides:

\(x\geq 3\)

Therefore, our domain must be greater than or equal to 3.

In set notation, this is:

\(\{x:x\geq 3\}\)

Therefore, our answer is C.

All we need to do is solve for the 0 of the function.

Solution:

0 = √x-3

0^2 = x - 3

0 = x - 3

3 = x

The domain is greater than or equal to 3 and this can be written as x ≥ 3 or in other words, Option 3.

Best of Luck!

Answer:

well, i think that it's l-2l + l9l

Step-by-step explanation:

hope its right:)

Answer: x = 4

Step-by-step explanation:

Translating the problem into mathematical terms:

Let's call the number x. Then the problem can be written as:

5 * (2x - 3) - (x + 8) = 13

Expanding the left side of the equation:

5 * 2x - 5 * 3 - x - 8 = 13

Simplifying the left side of the equation:

10x - 23 - x - 8 = 13

Combining like terms:

9x - 31 = 13

Adding 31 to both sides of the equation:

9x = 44

Dividing both sides of the equation by 9:

x = 4.88888...

Since x has to be a whole number, we round down to the nearest whole number:

x = 4

Therefore, the number that satisfies the equation is 4.

Answer:

Z > ± 1.645

z= 3.968

Step-by-step explanation:

We formulate the null and alternate hypotheses as

H0 =μ2 ≥ μ1   Ha: μ2  <μ1  one sided

Let α= 0.05

Since the sample sizes are large therefore the test statistic used under H0 is

The critical region for α= 0.05 for a one tailed test Z > ± 1.645

Z = (x`2- x`1) /s/ √n

Z= 154.8-128.746.5/√50

z= 26.1/6.577

z= 3.968

Since the calculated value of z lies in the critical region we reject H0 that internet users spend more time  or equal time.

Answer:

a.|5|, b.|12.9|

Step-by-step explanation:

Answer:

Step-by-step explanation:

Write a number that has the same value as each expression:a.|5|