Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Answer:

Step-by-step explanation:

The height of the rock as it  reaches the ground is zero i.e f(t) = 0

Substitute into the function to get t first as shown;

f(t) = -2t^2 + 15.7t

0 = -2t^2 + 15.7t

2t^2 = 15.7t

2t = 15.7

t = 15.7/2

t = 7.85secs

Get the total distance travelled by substituting t = 7.85 into the modeled equation;

Recall that:

f(t) = -2t^2 + 15.7t

f(7.85) = -2(7.85)^2 + 15.7(7.85)

f(7.85) = -123.245+123.245

Hence the total distance travelled by the rock when it reaches the ground is 0m

Answer:

a. See the attached picture for the graph and the excel file for how the graph is drawn.

b. The students at Maple High should choose Option A when attending more than 4 events; but they should choose Option B when attending less than 4 events

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card.

Option A: The student buys a discount card. The cost is $5 per event.

Option B: The student does not buy a discount card. The cost is $7.50 per event.

a. Graph the relationship between total cost and number of events for each option.

b. Determine the condition under which the students at Maple High should chose each option.

The explanations to the answers is now given as follows:

Let x represent the number of events and y represents the total cost.

Options A and B can therefore be written as follows:

Option A: y = 5x + 10 ……………………………. (1)

Option B: y = 7.5x ……………………………….. (2)

a. Graph the relationship between total cost and number of events for each option.

Note: See the attached picture for the graph and the excel for how the graph is drawn.

In the excel, we assume figures for x from 1 to 10 and then calculate the associated y using equations (1) and (2) above

Also, the number of events (x) is on the horizontal axis while the total cost (y) is on the vertical axis.

The graph for Option A is the blue one while the graph for Option B is the red one.

b. Determine the condition under which the students at Maple High should chose each option.

From the graph in the picture and the attached excel file, the total costs (y) for each of Options A and B ar equal when the number of events (x) is equal to 4.

It can bee observed that when the number of events (x) is greater than 4, the total cost (y)  of Option A is less than the total cost (y) of Option B. Under this condition, Option A should be chosen.

On the other hand, when the number of events (x) is less than 4, the total cost (y)  of Option A is greater than the total cost (y) of Option B. Under this condition, Option B should be chosen.

Therefore, the students at Maple High should choose Option A when attending more than 4 events; but they choose Option B when attending less than 4 events.

Answer:

You could use 13+2x=t

x=number of weeks. t=total

lol that's cool because i didn't know either

Answer:

11x-8

Step-by-step explanation:

First you expand 3(x-2):  3x-6

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

then expand  2(4x-1): 8r - 2

3x-6+8x-2

and then simplify 3x - 6 + 8x -2: 11x - 8

11x - 8

so the answer is 11x-8

Graph shows the solution set for the inequality which is the correct answer would be options (A).

Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Given the system of inequalities as

y>2x-6 and y<2x +4

To determine the solutions, you first have to graph both of the lines in the problem.

y=2x-6 and y=2x +4. Then, to shift them to inequality, you have to shade the half-plane that they represent.

The solution is the space that they have in common. In this case, it will be on the right side of the graph.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

Answer:

The point at the Origin was moved down 4 and right 2

Step-by-step explanation:

9514 1404 393

Answer:

  not a function

Step-by-step explanation:

When a left-side point originates more than 1 arrow, the relation is not a function. There are two such points here, so this relation is not a function.

Answer:

Third one 33333333333333333

Answer:

2 and 3

Step-by-step explanation:

The equation of the diagram would be 99=5w+4

#2-the number Andre earned for the 5 times babysat, each earning the same, would be represented by the 5w. The extra 4 dollars would be represented by the 4. And the $99 for the total would be represented by the 99.

#3- the cost of the parking would be represented by the 4. The 5 tickets that they paid for would be represented by the 5w. And the 99 would be the total.

Answer:

50

Step-by-step explanation:

100 into 2 parts is 50

Answer:

The true statement is h < k ⇒ (3)

Step-by-step explanation:

∵ The equation of the graph is y = [tex]\sqrt{x+h}[/tex] + k

∵ (-h, k) are the coordinates of its vertex point

∵ -h is the x-coordinate of the vertex point

∵ x-coordinate of the vertex point is -3

∴ -h = -3

→ Divide both sides by -1

∴ h = 3

∵ k is the y-coordinate of the vertex point

∵ y-coordinate of the vertex point is 4

∴ k = 4

∵ 3 < 4

→ That means h is smaller than k

∴ h < k

∴ The true statement is h < k

Answer: a) 1.1962

after sig figs it’s 1.2

b) 0.4321

after sig figs it’s 0.43

Step-by-step explanation:

Answer:

a.) x=1.2

b.) y 0.43

Step-by-step explanation:

A. I would start with the square root on top. That equals 6.004

Divide that by 5.019.

=1.1963

B. I would start with the radical. Solving the radical results in 3.9939

Then, square 3.04

That would equal 9.2416

3.9939/9.2416= 0.4322

Answer:

Answer:

A

Step-by-step explanation:

the answer is a 100% no cap

Answer:

The answer is y=-2/3x+1

Step-by-step explanation:

Remember the slope intercept is y=mx+b

Answer:

lol > bc a non negative number is more

Answer:

14.9 miles

Step-by-step explanation:

In the image below, the side of the triangle a, represents; "Peter leaves work and drives 10miles due south".

The side of the triangle b represents; "he then heads east for 11 miles to reach his home"

The distance between his work and home is represented by side c of the triangle.

This is a tight angle triangle, hence pythagoras theorem would be applied in solving it.

This theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides;

This means we have;

c² = a² + b²

c² = 10² + 11²

c = √(100+121)

c = 14.87

Rounding off to the nearest tenths = 14.9

Answer:

157.5 miles with 6 gallons

Step-by-step explanation:

105miles / 4gallons = 26.25miles per gallon

26.25miles per gallon * 6miles = 157.5 miles

Given that,

A food truck is selling 2 burritos for $5.

Solution,

We need to find the relationship between burritos and dollars.

2 burritos = $5

To find the value of 1 burrito. Divide 5 by 2 as follows :

[tex]1\ \text{burrito}=$\dfrac{5}{2}\\\\1\ \text{burrito}=$2.5[/tex]

Hence, the relation between burritos and dollars is " [tex]1\ \text{burrito}=$2.5[/tex]"

Answer:

0.63

Step-by-step explanation:

0.63

Answer:

x=8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Remember the four basic power of i:

[tex]\begin{aligned}i^1&=i\\i^2&=-1\\i^3&=-i\\i^4&=1\end{aligned}[/tex]

We have:

[tex]i^{233}[/tex]

The trick here is to split the exponent into a number divisible by 4 plus the remainder. Notice that:

[tex]233=232+1[/tex]

And that:

[tex]232/4=58[/tex]

So, we can rewrite our exponent as:

[tex]=i^{4\cdot 58+1[/tex]

Using the properties of exponents:

[tex]=(i^4)^{58}\cdot i^1[/tex]

Since i to the fourth is simply 1:

[tex]=(1)^{58}\cdot i^1[/tex]

Simplify:

[tex]=1\cdot i^1[/tex]

Simplify:

[tex]=i[/tex]

Hence, our answer is C.

Answer:

Step-by-step explanation:

El señor de las moscas trataba de dos personas que estaban enamoradas y no podían superarse y creo que eres estúpido

def

b

Answer:

STOP MAKIN FUNNY THINGS

Step-by-step explanation:

Answer:

a. x = 9 + 4y

b. x = (7y-2)/6

c. x = (17 + k)/4

d. x = (9-c)/k

Step-by-step explanation:

In each of the equations, we want to make x the formula subject

a) 3x-12y = 27

3x = 27 + 12y

3x = 3(9 + 4y)

x = 9 + 4y

b) 6x-7y = -2

6x = 7y-2

x = (7y-2)/6

c) 4x - k = 17

4x = 17 + k

x = (17 + k)/4

d) kx + c = 9

kx = 9-c

x = (9-c)/k

Answer: 60 weeks.

Step-by-step explanation: 150 divided by 2.50 = 60

Answer:

2(x+3) is the correct answer

Step-by-step explanation:

2 × x=2x 2×3=6

2x+6

2(x+3)

Answer:

2x=6/:2

x=3

that's the answer

Answer:

m  = 2 /5

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

6 is the slope im pretty sure. i followed the slope formula rise over run

( y2-y1 / x2-x1 ) and got 6