If a point A has coordinates (1,2) and point B has coordinates (9,8), what is the distance between points A and B?

Answer:

Step-by-step explanation:

Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Answer:            

The answer is.......    A=240

To determine the numerical value of a digit character given its ASCII code, subtract the ASCII code of '0' (48 in decimal or 0x30 in hexadecimal) from the ASCII code of the digit character.

The ASCII code for the digit '0' is 48 in decimal and 0x30 in hexadecimal. The ASCII codes for the digits '1' to '9' are consecutive integers following '0'. Therefore, to determine the numerical value of a digit character, we subtract the ASCII code of '0' from the ASCII code of the digit character.

For example, the ASCII code for '3' is 51 in decimal and 0x33 in hexadecimal. To determine its numerical value, we subtract the ASCII code of '0' (48 in decimal) from 51:

51 - 48 = 3

Therefore, the value that should be subtracted to determine the numerical value of a digit character is 48 in decimal or 0x30 in hexadecimal.

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There are infinitely many possible solutions to the equation y = 3x + 5.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

An equation,

y = 3x + 5.

The equation has an independent variable x and a dependent variable y.

And the x is a free variable.

So, the y varies as per the value of x.

There are infinite possible solutions to the equation.

Therefore, there are infinite possible solutions to the equation.

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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The total distance Ramiro travelled is 380 miles.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.

let x be the first day hours

let y be the second day hours.

now,

x = y + 2

40x = 60y + 20

Putting x= y+2

40(y + 2) = 60y + 20

40y + 80 = 60y + 20

60 = 20y

y = 3 hours

For, first day

x = y + 2

x = 3 + 2

x = 5 hours

Thus,

Total distance = 40(5) + 60(3)

=200 + 180

=380 miles

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Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

  see attached

Step-by-step explanation:

Given the equation for a line, y +3 = (x -6), you want to identify the slope and a point on the line, then graph it.

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)

Comparing this to the given equation, you can see ...

This tells you the slope is 1 and a point on the line is (6, -3).

You graph this equation by plotting point (6, -3) and drawing a line through it that goes up 1 unit for each 1 unit to the right. A graph is attached.

__

Additional comment

If you like, you can rearrange the equation to slope-intercept form by subtracting 3:

  y +3 -3 = (x -6) -3

  y = x -9

This tells you another point is -9 on the y-axis.

Answer:

56 minutes

Step-by-step explanation:

We can use proportions to solve.

6 miles            8 miles

------------     = ------------------

42 minutes        x minutes

Using cross products.

6x = 42 *8

Divide each side by 6

x = 42/6 * 8

x = 7*8

x = 56

Answer:

68%

Step-by-step explanation:

Given that:

Mean speed (m) = 46

Standard deviation (s) = 13

Approximately what percentage of vehicle speeds were between 33 and 59 mph

Obtain the Zscore for P(Z < x) for both values and subtract :

For x = 33

Zscore :

Z = (x - m) / s

Z = (33 - 46) / 13 = - 1

p(Z < - 1) = 0.15866 ( Z probability calculator)

For x = 59

Zscore :

Z = (x - m) / s

Z = (59 - 46) / 13 = 1

p(Z < 1) = 0.84134 ( Z probability calculator)

Hence, 0.84134 - 0.15866 = 0.68268 = 0.68

0.68 * 100% = 68%

Answer:

Step-by-step explanation:

y=-x+2 equation 1

y=3x-2 equation 2

sub equation 1 into 2

-x+2=3x-2

-x+2-3x+2 =0 (bring everything to one side and to equal 0)

-4x+4=0 (collect like terms and go with the sign given)

-4x=-4 (bring 4 over to the other side to isolate)

-4x/-4=-4/-4 (divide to isolate)

x=1

y=-3x+3 equation 1

2x+y=1 equation 2

y=-2x-1 Rearrage equation 2 (now equation 3)

sub equation 1 into 3

-3x+3=-2x-1

-3x+3+2x+1 =0 (bring everything to one side and to equal 0)

-x+4=0 (collect like terms and go with the sign given)

-x=-4 (bring 4 over to the other side to isolate)

Answer:

8.54 meters

Step-by-step explanation:

0.61x14=8.54

Answer:

79.5%

Step-by-step explanation:

\(\frac{175-97.5}{97.5} =0.795\)

Answer:

4599

Step-by-step explanation:

= 4500(1 + 2.75/100)^0.8

= 4598.730702

= 4599

I hope it helps.

If you invested 4500 for 8 months at an interest rate of 2.75%, you earn an interest of 81.675.

It is defined as the interest based on the principal amount, it does not include the compounded amount. The interest calculates on the initial amount or borrowed amount.

It is given that person invested 4500 for 8 months at an interest rate of 2.75%.

The simple interest is calculated by the formula as,

SI = P×R×T/100

Where P is the principal, R is the rate and T is the time. The rate is calculated per annum while time is taken in the years. We have to convert the month value into years,

Substitute the given value as

SI = 4500×2.75×0.66/100

SI = 81.765

Thus, if you invested 4500 for 8 months at an interest rate of 2.75%, you earn an interest of 81.675.

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The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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Answer:

1

Step-by-step explanation:

7+10+1/5

7/10 = 0.7

1/5 = 0.2

0.7+0.2=0.9

Therefore it would be closest to 1.

Answer: 1

Step-by-step explanation:

To find an estimate, you need to round your fractions. Let's start with 7/10. First let's look at the numerator, 7. 7 is a number greater than 5, so we'll round it to 10 and you keep your denominator. so now we have 10/10, or 1. Then round 1/5. 1/5 is lower than 5, so we'll round it to 0. Now, for the final step add them. 1 + 0 = 1, so 1 is the answer

(a) The errors made by the student are:

Incorrectly expanding 49(2) as 24 instead of 98.

Mistakenly factoring the quadratic equation as (y - 8)(y - 1) instead of

\(y^{2} - 9y + 8.\)

(b) The exact solution to the equation is x = 7/11.

(a) The student made two errors in their solution:

Error 1: In the step \("22x + 49(2) = 0,"\) the student incorrectly expanded 49(2) as 24 instead of 98. The correct expansion should be 49(2) = 98.

Error 2: In the step \("y^{2} - 9y + 8 = 0,"\) the student mistakenly factored the quadratic equation as (y - 8)(y - 1) = 0. The correct factorization should be \((y - 8)(y - 1) = y^{2} - 9y + 8.\)

(b) To find the exact solution to the equation, let's correct the errors made by the student and solve the equation:

Starting with the original equation: \(22x + 4 - 9(2) = 0\)

Simplifying: 22x + 4 - 18 = 0

Combining like terms: 22x - 14 = 0

Adding 14 to both sides: 22x = 14

Dividing both sides by 22: x = 14/22

Simplifying the fraction: x = 7/11

Therefore, the exact solution to the equation is x = 7/11.

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Answer:egdf

Step-by-step explanation:

gsrdsf

Answer:

Number of links in 7 feet = 10 links (Approx)

Step-by-step explanation:

Given:

1 link = 8 inches distance

Find:

Number of links in 7 feet

Computation:

1 feet = 12 inches

So,

7 feet = 12 x 7 = 84 inches

So,

Number of links in 7 feet = 84/8

Number of links in 7 feet = 10 links (Approx)

Answer: 120 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Assuming that the interest is compounded monthly, Ben's total amount owed to the bank after 12 months can be calculated using the following formula:

A = P*(1+r/n)^(n*t)

Where:

P = principal amount borrowed = $10,000

r = annual interest rate as a decimal = 0.12

n = number of times the interest is compounded per year = 12 (monthly)

t = time period for which the interest is applied in years = 1

Plugging in the values, we get:

A = 10,000*(1+0.12/12)^(12*1)

A = $11,268.70

Therefore, Ben owes the bank a total of $11,268.70 after 12 months.

Answer:

see explanation

Step-by-step explanation:

The area (A) of a sector is calculated as

A = area of circe × fraction of circle

   = πr² × \(\frac{0}{360}\) ← where θ is in degrees

[ note that 360° = 2π radians ], then

A = πr² × \(\frac{0}{2\pi }\) ← where θ is in radians

( Cancel π on numerator/ denominator )

A = \(\frac{1}{2}\)θr²

9514 1404 393

Answer:

  top down: 2, 4, 1, 7, 6, 5, 3, 8

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for a sector area of a circle with central angle, θ, in degrees.

  \(\textit{Area of a Sector}=\dfrac{\theta}{360^{\circ}}\cdot\pi r^2\)

Replace 360° with 2π radians.

  \(\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}\)

Replace the angle ratio in degrees with the angle ratio in radians.

  \(\textit{Area of a Sector}=\dfrac{\theta}{2\pi}\cdot\pi r^2\)

Simplify by cancelling

  \(\textit{Area of a Sector}=\dfrac{1}{2}\theta r^2\)

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

5

Step-by-step explanation:

If p is -1 and q is 4 then the square root of q is 2 and 2 * -1 = -2

-2+1=-1

-1^2=1

Now you can solve it from left to right so 2^3 is 8 and 8+1-4=5

Answer:

5

Step-by-step explanation:

2^3 + (p\(\sqrt{q}\) + 1)^2 - 4

fill in p = -1 and q = 4

2^3 + (-1\(\sqrt{4}\) + 1)^2 - 4

simplify

8 + (-1(2) + 1)^2 - 4

8 + (-2 + 1)^2 - 4

8 + (-1)^2 - 4

8 + 1 - 4

5

Answer:

good

Step-by-step explanation:

So when you do the (,) things the x-axis  would go first for example

say the x-axis=5 and the y-axis= 9 it would be (5,9)

hope this helps plz mark brainlest

Answer:

The University of Montana ski team has ten entrants in a men's downhill ski event. The coach would like the first, second,

The recursive sequence that represents the sequence defined by the following explicit formula is given as follows:

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

The first term and the common ratio for this problem is given as follows:

\(a_1 = -32, q = -\frac{1}{4}\)

The common ratio means that each term is the previous term multiplied by -1/4, hence the recursive formula is given as follows:

\(a_{n + 1} = -\frac{1}{4}a_n\)

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