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The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

Given the equation as a model, h(t) =–16t² + 72t.

Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]

Find h(4):

h(t) =–16t² + 72t

h(4) = -16(4)² + 72(4)

h(4) = -256 + 288

h(4) = 32

Find h(3):

h(t) = -16t² + 72t

h(3) = -16(3)² + 72(3)

h(3) = -144 + 216

h(3) = 72

Plug in the value into  [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:

average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]

Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s

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Answer:

Hope it will help you...

Answer:

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

(-2) (25/7)

-50/7 = -7 1/7

Answer:

Option A is correct.

Step-by-step explanation:

(-2) (3 4/7)​

=> (-2) x (3 4/7)​

=> -2 x 25/7

=> -50/7

=> -7 1/7

Therefore, Option A is correct.

Hey there!

4(9/4 + 5/7c)

= 4(9/4 + 5/7(-7))

= 4(9/4) + 20/7(-7)

= 4(9/4) - 20

= 9 - 20

= -11

Therefore, your answer is: -11

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:1. How can you tell by looking at each graph that a proportional relationship exists between the quantities?

relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

2. Find the constant of proportionality for each graph. Write your answer as y = kx.

y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Step-by-step explanation:

Answer:

67.33.

Step-by-step explanation:

To figure out the tip, you need to find 20% of $52.60.

0.2×52.6=10.52

You should leave $10.52 for the waiter if you want to leave him exactly 20%.

To figure the tax, you need to find 8% of $52.60.

0.08×52.6=4.208

Next, add them up:

52.6+10.52+4.208=67.328

The total bill, including tax and tip, will be $67.33.

Answer:

Step-by-step explanation:

The share of stock is $88.33 worth now which is the value of a share of stock on the stock market decreased by 14%.

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

The value of a share of stock on the stock market decreased by 14%. If it used to be worth $102.64 which is given in the question.

We have to determine the evaluation of 15% of 60.

⇒ 14% of $102.64

15%  is expressed as 15/100 in fractional form

⇒ (14/100)(102.64)

15/100  is expressed as 0.15 in decimal form

⇒ (0.14)(102.64)

Apply the multiplication operation, and we get

⇒ 14.31

Therefore, 14% of $102.64 would be $14.31.

The share of stock is worth now: $102.64 - $14.31 = $88.33.

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Answer:

it would be the last one

Step-by-step explanation:

lmk if you want an explanation

The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to not allow biasing of the test results by the individuals conducting the hypothesis test. -  False

Level of significance is the" measurement of the statistical significance. It defines whether the null hypothesis to be accepted or rejected. It is expected to identify if the result is statistically significant for the null hypothesis to be false or rejected. The level of significance, also denote as alpha".

The Level of significance that determines the area of the critical region for a hypothesis test, should be chosen before the statistical test findings are evaluated, as to allow biasing of the test results by the individuals conducting the hypothesis test.

Hence, the given question is False.

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Answer:

1: Out: 5, 8, 11, 14

2: Out: 2, 7, 10, 11

3: Out: 11  Rule: Add 4

4: Out: 6  Rule: Add 4

Don't get me wrong, I am not exactly sure but I believe it is supposed to be 75$.

Answer:

$0.03

Step-by-step explanation:

chips: 7.84/16=0.49

pretzels: 12.48/24=0.52

0.52=0.49=0.03

Answer:

B. m+4

Step-by-step explanation:

You are just writing the same equation but backwards so that the numbers still stay the same as well as the answer.

Answer: A

Step-by-step explanation:

Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?

Step-by-step explanation:

Answer:

705.8823529411765

Step-by-step explanation:

You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765

Answer:

Gracias por los puntos

Bye :v

Answer:

8. 14

9. 720

Step-by-step explanation:

Both questions are asking you to find the GCD (Greatest Common Divisor) and LCM (Lowest Common Multiple).

8. Find the greatest number that can divide 392 and 462 exactly.

Find the GCD of 392 and 462:

  1. Find the prime factorization of 392

2^3 × 7^2 (2 × 2 × 2 × 7 × 7)

  2. Find the prime factorization of 462

2 × 3 × 7 × 11

  3. To find the GCD, multiply all prime factors common to all numbers  

GCF = 2 × 7, therefore GCD = 14.

9. What is the smallest number that is divisible by 20, 48, and 72?

Find the LCM of 20, 48, and 72:

  1. Find the prime factorization of 20

2^5 (2 × 2 × 5)

  2. Find the prime factorization of 48

2^4 x 3 (2 × 2 × 2 × 2 × 3)

  3. Find the prime factorization of 72

2^3 x 3^2 (2 × 2 × 2 × 3 × 3)

  4. To find the LCM, multiply all prime factors

LCM = 2^4 × 3^2 × 5 (2 × 2 × 2 × 2 × 3 × 3 × 5), therefore GCF = 720

Calculator Input:

The easiest way to find the GCD or LCM of 2 or more numbers is by using a scientific calculator. Input GCD(x,y) or LCM(x,y) for the answer. This will work for any amount of numbers as long as the input is logical.

For questions 8 and 9, you would type in GCD(392,462) and LCM(20,48,72).

Not all calculators are made the same, so other labels might be GCF or HCF instead of GCD, and LCF instead of LCM. I use GCD and LCM because that's how it is on my calculator. There isn't any difference, so using any label is fine.

Answer:

C

Step-by-step explanation:

to have a common difference of -8.5, the sequence has to consistently go down by 8.5.

in the first one, y would go up by 2 every time x goes up by 1, so its not that one.

in the second one, it does go down by 8.5 the first time but the next time it goes down by 4.25, so it's not consistent.

in the third one, each time it goes down by 8.5 so this is the answer.

the fourth one also isn't correct because the graph shows that it is going up, so you know for sure it's not that one.

Answer:

7x+27x=34x

34x+2-(-5×^2)-2x

34x+2+5x^2-2x

34x+2x=36x

36x+2+5x^2

Answer:

B

Step-by-step explanation:

To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.

So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.

Given that

(2a+b,11) and (1,a-3b) are equal ordered pair

⇛(2a+b,11) = (1,a-3b)

On comparing both sides then

2a+b = 1 ----------Eqn(1)

11 = a-3b

⇛ a-3b = 11 ------Eqn(2)

⇛ a = 11+3b-------Eqn(3)

On substituting the value of a in Eqn(1) then

⇛ 2(11+3b) + b = 1

⇛(2×11)+(2×3b) + b = 1

⇛ 22 +6b+b = 1

⇛ 22+7b = 1

⇛ 7b = 1-22

⇛ 7b = -21

⇛ b = -21/7

⇛ b = -3

On substituting the value of b in Eqn(3) then

⇛ a = 11+3(-3)

⇛ a = 11-9

a = 2

Therefore, a = -3 and b = 2

Answer:-The value of (a,b) for the given problem is (-3,2).

Answer:

B is empty

Step-by-step explanation:

All the function graphed have domain of all real numbers.

A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.

The domain of a function is defined by the graph's x-values (input values).

Similarly, Range is defined by the set of y-values (output values) in the function's graph.

Now, From the graph attached,

Domain of function 'f' : {x | x ∈ R}

Domain of function 'g' : {x | x ∈ R}

Domain of function 'h' : {x | x ∈ R}

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Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

Answer:

it is d i believe

The secant of a circle is line segment AD. Therefore, option C is the correct answer.

A line that crosses a circle at two different locations is said to be a secant of the circle. The Roman verb secare, which meaning to cut, is the source of the word secant. It can also be thought of as the chord of a circle extended outside of the circle.

Given that, circle with center O.

In the given figure, FC is chord, OB is radius, AB is tangent, AD is secant and DE is tangent.

Therefore, option C is the correct answer.

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Answer:

so theirs 4 suits so 1/4 but since you have 2 cards

its 1/2 or 50%

Hope This Helps!!!

Answer:

It is 21 first guy is no doubt correct.

Step-by-step explanation:

The expression results to 21.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.

Given:

1⁵+5²/25⁰-5¹

So, 1⁵ = 1

5² = 25

25⁰ = 1

5¹ = 5

Now, 1⁵+5²/25⁰-5¹

= 1+ 25 / 1 - 5

= 1 + 20

= 21

Hence, the expression results to 21.

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Answer:

Step-by-step explanation:

We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.

The figure is 12 units by 16 units, so has a perimeter of ...

  P = 2(L +W)

  P = 2(16 +12) = 56 . . . . units

and an area of ...

  A = LW

  A = (16)(12) = 192 . . . . square units

Answer:

dependent quantity.

Step-by-step explanation: