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Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

The given equation of the path of the projectile is y = -16·x² + 64·x + 16

Where;

y = The height in feet, reached by the projectile (Assumption)

x = The time it takes the projectile to reach the height, y (Assumption)

The shape of the given equation of the path of the parabola is that of a parabola turned upside down.

We have that the maximum height is given by the top of the curve where the curve changes direction, and the slope = 0

Therefore, we have;

[tex]Slope = \dfrac{\mathrm{d} y}{\mathrm{d} x} = \dfrac{\mathrm{d} \left (-16\cdot x^2 + 64\cdot x + 16 \right )}{\mathrm{d} x} = -32 \cdot x + 64 = 0[/tex]

Therefore, at the maximum point, the slope is -32·x + 64 = 0

∴ x = -64/(-32) = 2 at the maximum point

The height at the maximum point = The maximum height, [tex]y_{max}[/tex], is found by finding the value of y (the height) at x = 2 (the value of x at the maximum point)

Therefore, we have;

[tex]y_{max}[/tex] = -16 × 2² + 64 × 2 + 16 = 80 feet

The maximum height reached by the projectile, [tex]y_{max}[/tex] = 80 feet.

Answer:

The maximum height reached by the projectile is 80 feet

Step-by-step explanation:

Answer:

Maybe try m = 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A six back has a value of 35 cents per bun,

you may find this by dividing 2.10 by 6  and getting .35 per

while a 8 pack 3.12 divided by 8 is .39

so it is more economical or correct to get C. 8 six packs for 35 cents a bun

Answer:

eeedbashbejn

Step-by-step explanation:

ecdbjshwq d b

Answer:

the measure of the angle is 130°

Step-by-step explanation:

50 and ? are supplementary angles

supplementary angles add up to 180

50 + ? = 180

subtract 50 from both sides of the equation

50 + ? - 50 = 180 - 50

? = 180 - 50

? = 130

Answer:

Step-by-step explanation:

0.8

0.075

0.04

3.3125

Answer:

thanks alot this math is hard im behind this rilly helped me

Step-by-step explanation:

7th grade is hard i was ventral last year so i cinda for got everything  so thanks

Answer:

Step-by-step explanation:

the line given is

[tex]x + 3y = 6\\3y = -x + 6\\y = \frac{-1}{3} (x) + 2\\[/tex]

parallel lines have the same slope

[tex]y = \frac{-1}{3} (x) + b\\3 = \frac{-1}{3}(5) + b\\\frac{9}{3} = \frac{-5}{3} + b\\ b = \frac{14}{3}\\[/tex]

[tex]y = \frac{-1}{3} (x) + \frac{14}{3}[/tex]

The equation of line passes through the point (5, 3) will be;

⇒ y = - x/3 + 14/3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (5, 3).

And, The parallel line is,

⇒ x + 3y = 6

⇒ y = - x/3 + 2

Now,

Since, The equation of line passes through the point (5, 3).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

⇒ y = - x/3 + 2

⇒ m = dy/dx = - 1/3

⇒ m = - 1/3

Thus, The equation of line with slope - 1/3 is,

⇒ y - 3 = - 1/3 (x - 5)

⇒ y - 3 = - 1/3 (x - 5)

⇒ y - 3 = - x/3 + 5/3

⇒ y = - x/3 + 5/3 + 3

⇒ y = - x/3 + 14/3

Therefore, The equation of line passes through the point (5, 3) will be;

⇒ y = - x/3 + 14/3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ3

Answer:

0.05 or you can say 5%.

Step-by-step explanation:

on Edge

Answer:

recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.

Step-by-step explanation:

Here are three different recipes for Orangy-Pineapple juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? explain or show your reasoning.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Ratio of orange juice to pineapple juice = 4 : 6

= 4 / 6

= 2/3

= 2 : 3

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.

Ratio of orange juice to pineapple juice = 6 : 9

= 6 / 9

= 2 / 3

= 2 : 3

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Ratio of orange juice to pineapple juice = 9 : 12

= 9 / 12

= 3 / 4

= 3 ; 4

Therefore, recipe 1 and recipe 2 will taste the same because they have the same ratio while recipe 3 will taste differently because it has a different ratio.

Answer:

51%

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30 is the smallest number

Answer: The midpoint will be at M (1,4)

example :-

Answer:

A car travel 90km in 2.5 hours, How much time is required to cover 60km with the same speed?

find the distance covered in 4 hours?

90km →2.5hrs.

Speed= 2.5/90=36 km/hr

i) Time required = 36/60 = 3/5 hrs

Distance covered=36×4=144km.

Step-by-step explanation:

plz mark me brilliantest

Answer:

I got 5/8

( Please correct me if I'm wrong, I really hope I'm correct, Please correct me if I'm wrong )

- LxlyPxppy <3

Answer:

Look at explantation.

Step-by-step explanation:

5. It's the first and last one.

6. It's the third one.

Step-by-step explanation:

5: y=[x+3] FALSE

y=-[x-3] FALSE

y=-[x]-2 FALSE

y= [x+8]+5 FALSE

conclusion: none in 5 are right.

explanation: unable to identify a local extrema l

6: y=1/4[x]+5 FALSE

y=-[x]-2 TRUE

y= -7[x+5] TRUE

y= 3[x-2] FALSE

conclusion 2/4 are correct.

explanation: using desmos i could see that 2 had a. shift to the left and 2 were to the right

Answer:

8 and 1/4

Step-by-step explanation:

The opposite of 8 and 1/4 is -8 and 1/4

so the opposite of that opposite is 8 and 1/4

Answer:

Hypotenuse leg

Step-by-step explanation:

Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Answer:

HL im sorry if im  wrong

Step-by-step explanation:

please mark brainleast

Answer: B. . Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business

Step-by-step explanation:

Angel investors are wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business.

It should be noted that when new businesses are been established or wants to start up, they usually have little capital and often times, need someone to help them with funds.

Am angel investor invests in such companies in exchange for ownership equity and also gives them the.nweded support.

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

8 x 4 = (xtimes⋅7) − (xtimes⋅3)

Answer:

6.v⁴

Step-by-step explanation:

6.v.v.v.v.v

6.v four more times

so

6.v⁴

Answer:

the building is 38.4 feet tall

Step-by-step explanation:

because the ratio for the man is 6:2.5 and the building is x:16

so x = 38.4

Answer: 1.5

Step-by-step explanation:

eliminate the numbers that aren’t in the middle. You‘re left with 1 and 2. Find the average of them which is 1.5. That is your median.

Answer:

The answer is 6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

Answer:

the addition

Step-by-step explanation:

3y + 11 = 35

     -11     -11

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

3y = 24

-----------

3       3

----------

y = 8

Answer:

you can really do whatever as long as you keep the equation balanced but if your teacher is expecting something specific from you then you would undo 11 (take away 11 from both sides)

Step-by-step explanation:

3y + 11 = 35        original equation

3y = 24               subtract 11 from both sides

y = 8                   divide both sides by 3 to get y alone

Answer:

Rate of change in the rent of yak = $5 per hour

Step-by-step explanation:

Rate of change in the cost from the table is given by the formula,

Rate of change = [tex]\frac{\triangle C}{\triangle h}[/tex]

Where ΔC = Change in the rate of the yak

Δh = Change in time

Change in the rent of yak = ΔC = 30 - 25

                                                    = $5

Change in time = Δh = 3 - 2

                                 = 1 hours

Rate of change = [tex]\frac{5}{1}[/tex]

                          = $5 per hour