During a firework show, the height h in meters of a specific rocket after t seconds can be modeled be h=-4. 6t^2+27. 6t+33. 6. What is the maximum height of the fireworks?

Answers

Answer 1

The maximum height of the fireworks using the equation h=-4.6t^2+27.6t+33.6 is 75 meters.

Identifying the coefficients a, b, and c from the given quadratic equation.
a = -4.6, b = 27.6, and c = 33.6

Calculating the t-value of the vertex using the formula t = -b / (2 × a)
t = -27.6 / (2 × (-4.6)) = 27.6 / 9.2 = 3

Now, plugging in the t-value back into the equation to find the maximum height.
h = -4.6(3)^2 + 27.6(3) + 33.6

  = -4.6(9) + 82.8 + 33.6

  = -41.4 + 82.8 + 33.6

  = 75

The maximum height of the fireworks is 75 meters.

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Related Questions

How to write 11 plus the product of 4 and 6 then divide by 5.

Answers

Answer:

(11+(4*6))/5

Answer:

11+(4*6)/5

Step-by-step explanation:

*= multiplication

/= division

Plz name me brainliest I would greatly appreciate it Thank You

Can u please solve this

Can u please solve this

Answers

Answer:

522.5in^3

Step-by-step explanation:

4/3 ×3.14×5^3

4/3×3.14×125

1.33×3.14×125

4.18×125

522.5

Step-by-step explanation:

\(v = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3 \times {5}^{3} \\ = 4 \times 125 \\ = 500 {in}^{3} \\ thank \: you\)

What is the slope of this line? (5 points)
Show all work.

What is the slope of this line? (5 points)Show all work.

Answers

Answer:

-2,2

Step-by-step explanation:

There are 300 boys in a mixed school. If the ratio of the boys to the girls is 4:5 what is the total number of students in the school?

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

4 : 5

300 : ?

Divide 300 by 4 to find out what '1 part' would count as:

300/4 = 75

Multiply this by 5

75 x 5 = 375

Add the two values together

375 + 300 = 675

There are 675 students

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Step-by-step explanation:

Number of boys=300

Ratio of boys to girls=4:5

let the number of girls=y

300/y=4/5

Cross multiply

300×5=4×y

1500=4y

Divide through both sides by 4

1500/4=4y/4

374=y

Number of girls is 375

Total number of students=Number of boys+Number of girls

Total number of students=300+375

Total number of students=375

Multiply. Enter the product in simplest form 7/20 x 16/21

Answers

Answer:

112/420

Step-by-step explanation:

multiply

Answer:

112/420 but simplified it is 4/15

Step-by-step explanation:

in a simple linear regression model (one independent variable), if we change the input variable by 1 unit. how much output variable will change?

Answers

In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.

What is linear regression?

According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.

Main Body:

For linear regression

Y=a + bx + error

If we neglect error

then Y=a + bx.

If x increases by 1

then Y = a +b(x+1) which implies

Y=a + bx + b.

So Y increases by its slope.

Hence their is an increase in the slope in y.

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PLEASE HELP IM STUCK

PLEASE HELP IM STUCK

Answers

Answer:

6x + 4y = 16

Step-by-step explanation:

2(3x + 2y = 8)

2(3x + 2y) = 2(8)

6x + 4y = 16

Answer:

6x+4y=16

Step-by-step explanation:

2 (3x+2y=8)

2×3x+2×2y=2×8

=6x+4y=16 ans.

Please help
If this square is rotated around the
vertical line shown, what three-
dimensional figure will be formed?

Please help If this square is rotated around thevertical line shown, what three-dimensional figure will

Answers

Answer: cylinder

Step-by-step explanation:

I took The quiz

write >,< or = explain your choice

7/4 3/4

4/10 7/10

2/5 4/10

9/10 11/10

11/5 2/5

6/12 1/4 ​

Answers

Answer:

7/4 > 3/4

4/10 < 7/10

2/5 = 4/10

9/10 < 11/10

11/5 > 2/5

6/12 > 1/4 ​

Which of the following is not included in the cost of merchandise inventory? O Purchase discounts. O Purchase returns and allowances. O Purchase price of the inventory. O Freight costs paid by the seller. O Freight costs paid by the buyer. 4 pts 0 Question 2 Sunshine Cleaning purchased $3,500 worth of merchandise. The seller offered a 2% cash discount. Transportation costs for the buyer were an additional $310. The company returned $240 worth of merchandise and then paid the invoice within the discount period. The total cost of this merchandise is: O $3.570.00. O $3,500.00 O $3,332.00 O $3,430.00. $3,504.80 Question 5 A company has not sales of $759.300 and cost of goods sold of $548.300. Its not income is $10.280. The company's gross margin and operating expenses, respectively, are: O $211.000 and $230,750 $739.550 and $191,720 O $529,020 and $230.750 O $211.000 and $191,720 $230,750 and $529,020 4 pts D D Question 5 A company has not sales of $750,300 and cost of goods sold of $548,300. Its not income is $10.280 The company's groas margin and operating expenses, respectively, arm O $211,000 and $230,750 O $739,550 and $191,720 $529,020 and $230,750 O $211.000 and $191,720 O $230.750 and $529,020 Question 6 Sales less sales discounts, less sales returns and allowances equals: Cost of Goods Sold Net Income O Net Sales O Gross Profit 4 pts 4 pts Goods in transit are included in a purchaser's inventory: O At any time during transit. O After the half-way point between the buyer and seller, When the supplier is responsible for freight charges. When the goods are shipped FOB shipping point. OIf the goods are shipped FOB destination. Question 11 The inventory costing method that smooths out erratic changes in costs is: O LCM. O FIFO. OLIFO. O Specific Identification. O Weighted average. 4 t ne 0 Question 12 Krusty Krab has the following products in its ending inventory Compute lower of cost or market for inventory. applied separately to each product Inventory by Product Product Quantity Cost per Unit 500 $ 500 $ 30 600 Scuba Masks Scuba Sults O $265,000 O $290,000. O $250,000 $268,000 O $275,000. Question 13 Market per Unit $ 550 $ 25 If equity is $368,000 and liabilities are $186,000, then assets equal: O $554,000. $922,000. $368,000. $186,000. O $182,000. 2 pts

Answers

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

What is the cost of merchandise inventory?

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16 gallon full tank of gas? The trail length is 15 5/6

Answers

Answer:

10

Step-by-step explanation:

What is the slope of these coordinates (2,30), (5,75).


A) 10
B) 15
C) 32
D) 17

Answers

Answer:

45/3 or 15 simplified

Step-by-step explanation:

so b. 15

Answer:

Quick answer is B

Step-by-step explanation:

Use the rise over run method Y2-Y1 over X2-X1 and get your fraction. Divide your fraction to get your number and you get 15. Your equation should be simalar to this 75-30 over 5-2= 45 over 3 which is equal to 15.

If ΔMTV is reflected across the y-axis, what are the resulting coordinates of point M?

(-2, -5)
(-2, -5)

(5, -2)
(5, -2)

(-2, 5)
(-2, 5)

(-5, 2)
(-5, 2)

Answers

The answer is A (-2,5).

HOPE IT HELPS (◕‿◕✿) SMILE!!

PPPPPPPPPPLLLLLLEAAAAAAASEEEE HELP ME I BEG

(A) Explain how you can tell the difference between exponential growth and exponential decay by looking at a function rule. (B) and provide an example of each.

Answers

Answer:

Step-by-step explanation:

by definition :It's exponential growth when the base of our exponential is bigger than 1, which means those numbers get bigger. It's exponential decay when the base of our exponential is in between 1 and 0 and those numbers get smaller.

example:  exponential growth

y=2^x

exponential decay

y=(1/2)^x

PPPPPPPPPPLLLLLLEAAAAAAASEEEE HELP ME I BEG (A) Explain how you can tell the difference between exponential
PPPPPPPPPPLLLLLLEAAAAAAASEEEE HELP ME I BEG (A) Explain how you can tell the difference between exponential

Which expression is equivalent to (X^4/3•x^2/3)^1/3

Answers

Answer:

(x^4/3x^2/3)^1/3

Step-by-step explanation:

using the power of powers rule  (multiply the exponents)

x^(4/3*1/3)  x^(2/3* 1/3)

x^ (4/9)  ( x^ 2/9)

x^ (4/9 + 2/9)

x^ (6/9)

x^ (2/3)

Answer:

(x^4/3x^2/3)^1/3

Step-by-step explanation:

Have a good day!

In linear​ regression, one​ variable, called a​ __________ variable, is related to one or more​ ____________ variables by a linear equation.
A.​ dependent; response
B. ​independent; dependent
C.​ response; dependent
D. ​dependent; independent

Answers

In linear regression, one variable, called a dependent variable, is related to one or more independent variables by a linear equation.

What is the relation between a function and the dependent and independent variables?

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

In the case of multiple inputs, all the inputs are independent variables.

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Sarah peeled 84 oranges in 7 hours. At that rate, how many oranges would she peel in 15 minutes?​

Answers

Answer:

Sarah would peel 3 oranges in 15 minutes

Explanation:

I’m not sure if I did it right but i multiplied 7 by 60 (hours by minutes in an hour) and got 420. Then I divided it by 15 and got 28. Finally, I divided 84 by 28 and I got 3. I don’t if I am late or right for this question though.

hii :D
please answer!
i dont know how to give branliest but if its right then i'll try to figure it out!

there arent any explanations to anything in that section in khan so...
yeah. tyyy <33

hii :Dplease answer!i dont know how to give branliest but if its right then i'll try to figure it out!there

Answers

Answer:

the crew has a greater median

the cross country has a grearer standard deviation  

Explanation:

Median

for the cross country thr median is located at the second line of the box plot or its Q2 and it is apprx. 75

for the crew, we count the dot bith sides going to middle part and it is apprx. 93

 

thus,  

the crew has a greater median

 

Standard deviation

for cross country we got the formula to estimate its standard deviation

we got

S = 3/4(Q2-Q1)

S = 3/4(120-55)

S = 48.75

 

for crew we dont have any formula, but using only visual analization we can see that the value of data is super close to each other, meaning its sd will be close to its mean thus it has a smaller sd  

 

thus

the cross country has a grearer standard deviation

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
2, 7, 12,...
Find the 46th term.

Answers

Answer: 227

Step-by-step explanation:

To find the 46th term of the sequence, we need to first determine the pattern of the sequence. We can see that the sequence increases by 5 between each consecutive term. Therefore, the common difference of the sequence is 5.

Using this information, we can find the \(n\)th term of the sequence using the formula:

\(\Large \boxed{an = a1 + d(n-1)}\)

where

\(an = \text{nth term of the sequence}\)\(a1 = \text{first term of the sequence}\)\(d = \text{common difference}\)

Using the given terms, we have:

\(a1 = 2\)\(d = 5\)

To find the 46th term, we substitute \(n = 46\) into the formula:

\(a46 = 2 + 5(46-1)\)\(a46 = 2 + 225\)\(a46 = 227\)

Therefore, the 46th term of the sequence is 227.

________________________________________________________

SOLUTION:

To find the pattern in the sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, we can write the recursive formula for the sequence as:

\(\large a_1 = 2\)

\(\large a_n = a_{n-1} + 5\)

To find the 46th term, we can use the recursive formula to generate each term until we reach the desired term:

\(\large a_1 = 2\)

\(\large a_2 = a_1 + 5 = 2 + 5 = 7\)

\(\large a_3 = a_2 + 5 = 7 + 5 = 12\)

\(\large a_4 = a_3 + 5 = 12 + 5 = 17\)

\(\vdots\)

\(\large a_{46} = a_{45} + 5 \approx \boxed{227}\)

\(\therefore\) The 46th term of the sequence is approximately 227.

We can also write the explicit formula for the sequence as:

\(\large a_n = 5n - 3\)

To verify that this formula generates the same sequence as the recursive formula, we can substitute the value of n = 1, 2, 3, etc. and compare the results.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

easy prob pls help i need

easy prob pls help i need

Answers

The dimensions of the rectangular poster are 9 inches by 22 inches.

Let's assume the width of the rectangular poster is x inches.

According to the given information, the length of the poster is 4 more inches than two times its width. So, the length can be expressed as 2x + 4 inches.

The formula for the area of a rectangle is length × width. In this case, the area is given as 198 square inches.

Therefore, we have the equation:

(2x + 4) × x = 198

Expanding the equation:

\(2x^2 + 4x = 198\)

Rearranging the equation to standard quadratic form:

\(2x^2 + 4x - 198 = 0\)

To solve this quadratic equation, we can use factoring, completing the square, or the quadratic formula. Let's use the quadratic formula:

x = (-b ± √\((b^2 - 4ac\))) / (2a)

Plugging in the values:

x = (-4 ± √\((4^2 - 4(2)(-198)))\) / (2(2))

x = (-4 ± √(16 + 1584)) / 4

x = (-4 ± √1600) / 4

x = (-4 ± 40) / 4

Simplifying:

x = (-4 + 40) / 4 = 9

x = (-4 - 40) / 4 = -11

Since we are dealing with dimensions, the width cannot be negative. Therefore, the width of the poster is 9 inches.

Substituting the value of x back into the length equation:

Length = 2x + 4 = 2(9) + 4 = 18 + 4 = 22 inches

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Find the negative square root of
-25/36

Answers

Step-by-step explanation:

I hope that helped you to answer this question

Find the negative square root of-25/36

The result for the negative square root of  \(\frac{-25}{36}\) is  \(\frac{5}{6}i\).

Complex Number

A complex number is represented by the following form: a+bi, where a and b are real numbers.  The variables: a is the real part and bi imaginary part. See an example: 5 + 2i , then: 5 represents the real part and  2i represents the imaginary part.

Regarding operations math, the same properties used for real numbers can be applied to complex numbers. And for solving the operations math with these numbers, it is important to know that i²= -1, consequently \(\sqrt{-1} =i\). Thus, 2i² = 2*(-1)= -2.

Thus, to find the negative square root of -25/36. You should write:

\(\sqrt{-\frac{25}{36} }\), knowing that \(\sqrt{25}\)=5 and \(\sqrt{36} =6\). Thus,

\(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6} *\sqrt{-1}\), like  \(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6} *\sqrt{-1}\), you have:

\(\sqrt{-\frac{25}{36} }\)=\(\frac{5}{6}\)*i

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50 POINTS

19. Ift(x) = 7 - 2x and t(x) = 0, then find x.


20. If h(x) = 4x + 2, then h(x + 3) =

Answers

Answer:

see below

Step-by-step explanation:

(x) = 7 - 2x

Let t(x) =0

0 = 7-2x

Subtract 7 from each side

-7 = -2x

Divide by -2

-7/-2 =-2x/-2

7/2 =x

h(x) = 4x + 2

Replace x with x+3

h(x+3) = 4(x+3) + 2

Distribute

            = 4x+12 +2

            =4x+14

Answer:

19) \(x=\frac{7}{2}\)

20) \(h(x+3)=4x+14\)

Step-by-step explanation:

19)

We have the function:

\(t(x)=7-2x\)

And we want to find x such that t(x)=0.

So, substitute 0 for t(x):

\(0=7-2x\)

Solve for x. Subtract 7 from both sides:

\(-7=-2x\)

Divide both sides by -2:

\(\frac{7}{2}=x\)

Flip:

\(x=\frac{7}{2}\)

20)

We have:

\(h(x)=4x+2\)

To find h(x+3), substitute (x+3) for x. This yields:

\(h(x+3)=4(x+3)+2\)

Multiply:

\(h(x+3)=4x+12+2\)

Add:

\(h(x+3)=4x+14\)

And we're done!

A teacher has a container of paper clips. She will randomly select one paper clip from the container. The container has 8 pink paper clips. The container has 14 purple paper clips. The container has 12 yellow paper clips. The container has 16 blue paper clips. Which statement is true?

Answers

The true statement is that the probability of of selecting a purple paper clip is 7 / 25 and the probability of selecting a paper clip that is not purple is 18 / 25

What is probability?

Probability means possibility. It deals with the occurrence of a random event. Mathematically,

p(A) = number of favourable outcome to A / total number of possible outcomes.

Therefore,

number of pink paper clips = 8

number of purple paper clips = 14

number of yellow paper clips = 12

number of blue paper clips = 16

Therefore,

total number of possible outcome = 8 + 14 + 12 + 16 = 50

Therefore,

The probability of selecting a purple paper clip = 14 / 50 = 7 /25

The probability of selecting a paper clip that is not purple = 1 - 7 /25 = 18 / 25

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A teacher has a container of paper clips. She will randomly select one paper clip from the container.

is f(x)= -x+36 a real root?

Answers

The only value of x for which f(x) = 0 is x = 36. So, f(x) = -x + 36 does not have a real root, since there is no value of x that makes the function equal to zero.

What is a function ?

A function is a mathematical concept that describes the relationship between a set of inputs (domain) and a set of outputs (range), such that each input has a unique output. In other words, it is a rule that assigns to each input exactly one output.

A real root of a function refers to a value of x for which the value of the function is equal to zero. So, to determine whether f(x) = -x + 36 has a real root, we need to find the value(s) of x for which f(x) = 0.

Setting f(x) = 0, we have:

-x + 36 = 0

Adding x to both sides, we get:

36 = x

Therefore, the only value of x for which f(x) = 0 is x = 36. So, f(x) = -x + 36 does not have a real root, since there is no value of x that makes the function equal to zero.

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pls answer 6 ill give brainliest :d

pls answer 6 ill give brainliest :d

Answers

Answer:

D

Step-by-step explanation:

"Solution to the system" means when the two lines intersect. As seen in the graph, you can see that the two lines intersect at (3,-4). This was for Question 11

For question 12 I got G for the answer also you did not put the question 6

anyone knows who Wilbur soot is?
if so whats your favorite song of his?

Answers

Answer:

internet ruined me

Step-by-step explanation:

“Your sister was right” is a good one

Which statement must be true? arc r t ≅ arc u t ∠rqt ≅ ∠rst rq ⊥ qt rs ≅ st

Answers

The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

In circle Q, ∠RQS ≅ ∠SQT.

In ΔRQS and ΔTQS

∠RQS ≅ ∠SQT (Given)

QS = QS (Common side)

RQ = QT (Radius of the circle)

The ΔRQS and ΔTQS triangles are congruent to each other. That is given as ΔRQS ≅ ΔTQS.

The sides RS and ST are equal because they are the side of the congruent triangle that is RS ≅ ST. Then the correct option is D.

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Which statement must be true? arc r t arc u t rqt rst rq qt rs st

Answer:

D. rs≅st

Step-by-step explanation:

i did it

Which statement must be true? arc r t arc u t rqt rst rq qt rs st

Translate this phrase into an algebraic expression.
The sum of 13 and twice a number
Use the variable n to represent the unknown number.

Translate this phrase into an algebraic expression.The sum of 13 and twice a numberUse the variable n

Answers

Answer:

13+2n

Step-by-step explanation:

I'm just a smart guy

Evaluate each expression.5. -36.97. 13 +-28. -12-8

Answers

7) 13 + -2 = 13 + (-2) = 13 - 2 = 11

8) -12 - 8 = - (12 + 8) = - (20) = -20

What is the measure of the reference angle for a 102° angle?
A. 68°
B. 12°
C. 57°
D. 78°

I really need the answer fast please!

Answers

Answer:

78°

Step-by-step explanation:

The two angles have to add up to 180°

180° - 102° = 78°

Angle = 78°

If my answer is incorrect, pls correct me!

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