Rewrite each equation in slope intercept form . Then determine whether the lines are perpendicular . Explain your answer .. y - 6 = - 5/2 (x + 4) 5y = 2x + 6

Both planes have a speed of 340 miles per hour and 510 miles per hour, respectively.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let tc be the time of commercial jet and tp be the time of private airplane.

Let vc be the speed of commercial jet and vp be the speed of private airplane.

Let dc be the distance of commercial jet and dp be the distance of private airplane.

now,

dc=dp

vc=vp+170

vc*tc=vp*tp

(vp+170)*1.2=vp*1.8

(vp+170)*2=vp*3

2vp+340=3vp

vp=340 miles/hour

vc=340+170

vc=510 miles/ hour

The speed, in miles per hour, of both airplanes is 340 miles per hour and 510 miles per hour.

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

In each statement:

The rate is the percentage or ratio that relates the quantity being described to the base.

The base is the total quantity or amount that the rate is applied to.

The percent is the rate expressed as a percentage, or the part of the base that corresponds to the rate.

As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.

The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:

Number of Heads / Total Number of Flips = Experimental Probability of Heads

The number of heads in this case is 48, and the total number of flips is 100. Therefore,

Heads Experimental Probability = 48 / 100 = 0.48

We can multiply this by 100 to get a percentage:

Heads Experimental Probability = 0.48 * 100 = 48%

As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.

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Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

What Separates a Function's Domain from its Range?

A function's domain and range are its constituent parts. In contrast to a function's range, which is the set of all potential outputs, a function's domain is the set of all possible inputs.

All real numbers fall under the expression's domain, with the exception of cases where it is undefined. No real number exists in this situation, rendering the statement undefinable.

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Answer:

letters do not belong in math

Step-by-step explanation:

1=1-2=3

Answer:

Step-by-step explanation:

The area of the border is 105.53 feet².

We have,

The swimming pool is a combination of two shapes.

Rectangle:

Length = 60 feet

Width = 30 feet

Area = 60 x 30 = 1800 feet²

Semicircle:

Diameter = 30 feet

Radius = 15 feet

Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².

Now,

The area of the swimming pool.

= 1800 + 353.25

= 2153.25 feet²

Now,

Without the border.

Area of the swimming pool.

= rectangle area + semicircle area

= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14

= 1740 + 307.72

= 2047.72 feet²

Now,

The area of the border.

= 2153.25 - 2047.72

= 105.53 feet²

Thus,

The area of the border is 105.53 feet².

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For exponential equation a^1/n = r option D is true i.e. r^n=a.

What are exponential equations?

Exponents are used in exponential equations, as the name implies. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. But what happens if a number is variable? When the power is a variable in an equation, it is referred to as an exponential equation.

For example, 3^x = 81, 5^x - 3 = 625, 62^y - 7 = 121, etc are some examples of exponential equations.

Exponential equations are classified into three categories. These are :

As given,

                 a^1/n=r

Now we take 1/n from left side of exponential equation to right side i.e.

      a=r^n   (As a^1/2 = 4 ---> a=4^2)

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Answer:

\(a = 9in\)

Step-by-step explanation:

\( {c}^{2} = {a}^{2} + {b}^{2} \)

\( {a}^{2} = {c}^{2} - {b}^{2} \)

\(a = \sqrt{ {c}^{2} - {b}^{2} } \)

\(a = \sqrt{ {10.6}^{2} - {5.6}^{2} } \)

\(a = \sqrt{112.36 - 31.36} \)

\(a = \sqrt{81} \)

\(a = 9in\)

Answer:

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

The value of variable, x as required to be determined from the task content is; x = 3.3.

As evident in the task content, it can be inferred that two triangles are similar and hence, the ratio of their corresponding sides are equal.

On this note, we have that;

6 / 4 = 4 / (6 - x)

16 = 36 - 6x

6x = 36 - 16

6x = 20

x = 20 / 6

x = 3.3333

x = 3.3 when rounded to the nearest tenth.

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hi.  

hi.  if  T is it'salary , then  1.07T is his new salary.

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

B

Step-by-step explanation:

A p e x :3

Answer: B a parallelogram and then a rectangle

Step-by-step explanation:

Answer: 19.

Step-by-step explanation:

The highest you can go is 6 and 3 because you can't do 7 and 4. 6 wins would add up to 18 points. The one game that is missing we can say could be a tie, which would add 1 point, making it 19 possible points.

Answer:

Highest number of wins and losses can only be 6 & 3 and if u take 7 & 4 as taking 7&4 will make total 11 and we know that there was only 10 games.

So we can conclude like this

Number of wins: 6

Number of losses: 3

Number of draws: 1

Thus the points will be, (6*3)+(3*0)+(1*1)

18+0+1

=19 points

Answer:

k=-98

b=-7

Step-by-step explanation:

can i have brianliest :)

The largest force p that can be applied to the bracket shown - P = 80 MPa × (b × h).

Largest force P that can be applied to the bracket, we need to consider the allowable stress in section ABD, which is given as 80 MPa.
Step 1: Identify the relevant variables
- Allowable stress in section ABD: 80 MPa
Step 2: Determine the cross-sectional area of section ABD
- We need the dimensions of section ABD to calculate the area.

Let's assume the width (b) and height (h) are given.
- Cross-sectional area of section ABD = b × h
Step 3: Apply the stress formula
- Stress = Force / Area
- Allowable stress in section ABD = Force P / Area of section ABD
Step 4: Solve for the largest force P
- 80 MPa = P / (b × h)
- P = 80 MPa × (b × h)

Now that we have a formula for the largest force P, you can plug in the specific dimensions of section ABD (width and height) to find the exact value of P.

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Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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Answer:

|-20|    |12.3|     |8|     |-6|    |-4|     |2 3/10|      

Step-by-step explanation:

Magnitude in this context means that they want you to order the values from greatest to least.  These are all absolute values and that means distance from zero without regard to sign.  So if you just stripped the signs and absolute value symbols off of each value, then ordered them from largest to smallest, and THEN added the signs and absolute value symbols back, you have the answer.

Answer:

From greatest to least magnitude

|-20|

|12.3|

|8|

|-6|

|-4|

\(\lvert {2 \frac{3}{10}}\rvert\)

Step-by-step explanation:

The absolute value of a number |x| is the positive value of x. So if x is positive then it's the number itself and if x is negative it is the positive value of the number

Ex. |5| = 5 and |-5| = 5

Take the absolute values of each of the numbers first

|12.3| = 12.3

|-20| = 20

|2 3/10 | = 2 3/10 = 23/10 = 2.3

|-4| = 4

|8| = 8

|-6| = 6

Now arrange these numbers from greatest to least. The order is

20,  12.3,  8,  6,  4,  2.3

So in terms of the original numbers this corresponds to
|-20| ,  |12.3| ,   |8|,   |-6| , |-4| , |2 3/10|

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

  (c)  five raised to the fourth power divided by three raised to the tenth power

Step-by-step explanation:

You want the simplified version of the quantity five raised to the negative second power times three raised to the fifth power end quantity all raised to the negative second power.

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  a^-b = 1/a^b

  (a^b)^c = a^(bc)

The given expression can be simplified as follows:

  \((5^{-2}3^5)^{-2}=5^{(-2)(-2)}3^{(5)(-2)}=5^43^{-10}=\boxed{\dfrac{5^4}{3^{10}}}\)

__

Additional comment

We find math expressions easier to understand when they are written using math notation, instead of words.

Answer:

Answer:

2

Step-by-step explanation:

None

Answer:

the answer is 2

Step-by-step explanation:

No explanation

Answer: Identity Property

Step-by-step explanation:

The rest have very fake names lol

Answer:

Identity Property

Step-by-step explanation:

Identity Property :

Any number plus zero is the original number.

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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