Question is in the pic below ;)))

The answer is F(t)=30-5t

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.

let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:

F(t)=30-5t

Hence, The answer is F(t)=30-5t

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Answer:

They are increasing at the same rate.

Answer: 64 square mm

Step-by-step explanation:

( 3x+8 ) ( 7x-2 )

= 21x² + 56x - 6x -16

= 21x² + 50x -16

HOPE IT HELPS :)

The probability of popping a balloon is the likelihood of the balloon

The given parameters are:

There are three balloons.

So, the theoretical probability of popping a stripped balloon is:

P = 1/3

The experimental probability of not popping a polka dot is calculated as:

P = 1 - P(Polka dot)

This gives

P = 1 - 5/40

Evaluate

P = 0.875

Hence, the experimental probability of not popping a polka dot is 0.875

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Answer:

Rational & integer

Step-by-step explanation:

Rational numbers are terminating. -7 is terminating.

All integers are rational numbers. Integers do not have decimals.

This is not whole because it is negative.

This is not irrational because... it's rational!

it is a rational and integer Hopefully you pass this assignment

Answer:

can you post the question I don't understand

Answer:

Yes.

Step-by-step explanation:

You always do the operations in parenthese first.

"The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)." -khanacademy . org > ...> order of operations

Answer:

B. (20 ÷ 4 - 2 + 1)

Solved, the equation equals 29.

Step-by-step explanation:

Order of operations: PEMDAS

Parantheses

Exponents

Multiplication

Division

Addition

Subtraction

9 + 5 × 2(20 ÷ 4 - 2 + 1)

The first step would be to do the operations inside the parantheses.

9 + 5 × 2(20 ÷ 4 - 2 + 1)

So,

(20 ÷ 4 - 2 + 1)

There are several operations, so lets look at PEMDAS again..

Okay, so we dont have any exponents, or multiplication inside the parantheses, so next step is divide.

(20 ÷ 4 - 2 + 1)

20 ÷ 4 = 5

So, we replace '20 ÷ 4' with '5'

(5 - 2 + 1)

Next, we add.

(5 - 2 + 1)

2 + 1 = 3

Now, replace '2 + 1' with '3'

(5 - 3)

Now, we just subtract 3 from 5.

5 - 3 = 2

So now our equation looks like this:

9 + 5 × 2(2)

Now, we have to do the parantheses again. But this time we are going to treat the parantheses as a multiplication symbol:

9 + 5 × 2(2) → 2 × 2 = 4

↓

9 + 5 × 4

Now, we have to multiply.

9 + 5 × 4 → 20

↓

9 + 20 = 29

So, when you solve the equation, you get 29.

Answer:

D

Step-by-step explanation:

In the first year the height of the plant is 3 feet, the second year is 6 feet etc.

Answer:

slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, - 4) and (x₂, y₂ ) = (- 2, 4) ← 2 points on the line

m = [tex]\frac{4-(-4)}{-2-(-5)}[/tex] = [tex]\frac{4+4}{-2+5}[/tex] = [tex]\frac{8}{3}[/tex]

Answer:

as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20

Step-by-step explanation:

Answer:

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

Step-by-step explanation:

Let me give you a quick brief of how to master rotations!!

You need to understand the formula and positioning rules

The formulas shall be given by teachers or looked up!

*** BUT THE SHAPE POSITIONING RULES MATTER!!

-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.

The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)

The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!

They want you to graph it by W'X'Y'Z

The ' is prime which is the new position/coordinate

W: (-4,5) W' -> (5,4)

X: (-1,4) X' -> (4,1)

Y: (-6,1) Y' -> (1,6)

Z: (-8,3) Z' -> (3,8)

That is the rotation 90 degrees clockwise coordinates!!

***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**

Counterclockwise is pretty similar but the opposite direction with different rules!

**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**

Answer:

2nd and 4th option

Step-by-step explanation:

The equivalent expression is,

⇒ 4 (5 - 2d)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 20 - 8d

Now, We can simplify the expression as;

⇒ 20 - 8d

⇒ 4 x 5 - 4 x 2d

⇒ 4 (5 - 2d)

Thus, The equivalent expression is,

⇒ 4 (5 - 2d)

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Answer:

Miles or mi

Step-by-step explanation:

This is because measuring the distance from one street corner to the next requires miles. Yards would be too less and would be less convenient.

There is a possibility of converting miles to yards as well.

You just have to multiply the miles by 1760 to get the right units.

The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.

Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.

After a careful reading, the statement is equivalent to the following formula:

x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000

4 · x / 15 = 8000    (1)

Where x is Ram's monthly salary.

The solution of (1) is x = 30000.

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Answer:

END OF EACH YEAR

-1 442.395

-2 449.91

-3 457.56

-4 465.34

-5 473.25

-6 481.29

-7 489.481

-8 497.80

-9 506.26

-10 514.87

however, how much INTEREST

514.87-435=

79.8

The equation C -7 - 3/4 = 0 is an algebraic equation

To solve the equation we (a) add 7 and 3/4 to both sides of the equation

The equation is given as:

C -7 - 3/4 = 0

Make C the subject of formula by adding 7 and 3/4 to both sides of equation

C = 7 + 3/4

Now, we can solve for C

Hence, to solve the equation we (a) add 7 and 3/4 to both sides of the equation

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1 inch= 15 miles

the distance between the cities

1 in/ 15 miles = 6 in/ x miles

applying cross products:

1 * x = 15 *6

x= 90

so, the distance betwixt the cities is 90 miles.

Answer:

Answer D is correct

Step-by-step explanation:

Let us solve this now.

58

× 100

      000

      00

+   58

= 5800

------------------------------------------------------------------------------------------

Let us solve this sum in a different way.

If there's a number to multiply by 100 you can simply put 2 zeros to the other number like this.

58 × 100 = 5800

Answer:

[tex]x^2[/tex] + 9x + 8 = 0

Step-by-step explanation:

First, we have to simplify this quadratic equation:

(x+2)^2 + 5(x+2) - 6 = 0

x^2 + 4x + 4 + 5x + 10 - 6 = 0

x^2 + 9x + 8 = 0

Answer:

3/5, 1/5, 1/6

Step-by-step explanation:

3/5 is greater than 1/5 and is the largest of these three fractions.

Comparing 1/5 and 1/6, realize that the larger the denominator, the smaller the value of the fraction.  Thus, 1/5 is greater than 1/6.

Then, in order from greatest to least:  3/5, 1/5, 1/6

Answer:

87.9 in³

Step-by-step explanation:

Volume of the can

Volume of 3 tennis balls

Remaining space

Let x be the cost of a box of apples and y be the cost of a box of oranges.

Danielle : 3x + 2y = 44.5

Esther: 5x + 4y = 81.5

3x + 2y = 44.5 --- 1

5x + 4y = 81.5 --- 2

6x + 4y = 89 --- 3

From 2 and 3, we have:

x = 7.5

Subsitute x = 7.5 into 1

3(7.5) + 2y = 44.5

2y = 22

y = 11

Therefore, a box of oranges costs 11 dollars

Step-by-step explanation:

(sinx/cosx - cosx/sinx) + sinxcosx

sin²x - cos²x = 1

I can't prove

I only know sin²x + cos²x = 1 : )

Answer:

In geometry, the area of a two dimensional object is the amount of space an area takes up. A square unit is a square with sides of length one unit.

Answer: So, to find velocity we take the first derivative of the equation.

just in case you do not know how to take a derivative or a polynomial

the derivative of axn  = naxn-1  where a is a coefficient and n is the exponent.

s' = 3t2 - 24t +36 this is your velocity in time t.

to solve for your velocity at t = 3 seconds we will plug 3 seconds into any t in the velocity equation.

s' = v this is just stating that s' is equal to your velocity

v = 3(3)2 - 24(3) + 36

v = 27 - 72 + 36

v = -9 m/s

to find when the particle is at rest we must consider the at rest velocity which is 0. An object at rest has no velocity(only applies to Newtonian mechanics)

so, we will change v to 0 and solve for t

0 = 3t2 - 24t + 36

to solve this we need to factor to quadratic equation.

to solve this we first will factor out 3 from the equation.

0 = 3(t2 - 8t + 12)

now we can factor. we need two numbers that when multiplied together give 12 but when added give -8. since the addition is negative and the multiplication is positive we know that we are dealing with two negative integers.

we end up with

0 = (t-2)(t-6)   the three was divided on both sides to eliminate it from the equation.

so, the particle is at 0 at t = 2 seconds and t = 6 seconds.

Now, just because the particle has 0 velocity does not mean it has no acceleration. However, I do not believe the acceleration is important for this problem.

To find when the particle is moving forward you must consider again when it is at 0. When it is at 0 a speed change is happening. So, to find out if velocity is positive or negative we will test a number before 2 after 2 but before 6 and after 6.

So, we can start with t = 0 for the before 2 number

v = 3(0) - 24(0) + 36

we get v = 36 which is positive. So, the particle was moving forward before 2 seconds.

now we have already used 3 seconds and we got a negative velocity. So, the particle is moving backwards at t = 3 seconds.

So the last one to check is after 6 seconds. We will choose 10 for this one because it is easy to multiply with.

v = 300 - 120 + 36 = a positive number. You do not actually need to know what number as long as you know it is positive. That means the particle was moving forward after 6 seconds.

to find the total distance traveled we must break up the distance equation by direction of travel. So, we must take the distance traveled by the particle in pieces using the original equation.

s = t3 -12t2 + 36t

first we will solve for the distance traveled in 2 seconds.

s = 8 - 48 + 72 = 32 meters

Now we will solve for 6 seconds and figure out the distance traveled from 32 meters in the opposite direction. Then we will add the two numbers together.

s =216 - 432 + 192 = -24 meters

To find the distance travelled between 2 and 6 seconds we add the absolute value of the values together.

We end up with distance traveled between 2 and 6 seconds was

56 meters

we then add this to the original 24 meters to get the distance traveled from 0 to 6 seconds of

88 meters

then we solve for the distance at 8 seconds

s = 512 - 768 + 288 = 32 meters

so, again we add the absolute values of the previous time interval with the one we just calculated for.

24 + 32 = 56 meters. So, the particle traveled back up at this point.

We add the new 56 with the current total of 88 meters to get

total distance traveled  = 144 meters

this shows us that the particle is moving in a wave pattern from 0 to 8 seconds. So, if you were to draw a graph you would have a particle start at s = 0 and t = 0, then the particle would move much like the graph of sine instead of stopping at 1 it would stop at s = 32 then drop down to s = -24 and rise up continuously after that.

Step-by-step explanation:

Answer:

1 1/2 or 1.5

As a simplified fraction

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