A firecracker is fired straight up into the air out of a window of a building. Its height, in meters, is given by h = − 5 t 2 + 30 t + 20 , where t is the time, in seconds, the fircracker has been in the air.

Answers

Answer 1

Answer:

See explanation

Step-by-step explanation:

Given that the equation for the firecracker is h = − 5 t^2 + 30 t + 20

It is impossible to solve this question unless the height (h) in meters is supplied. If the height was supplied, we could set up the quadratic equation and solve it yielding two values for the time. The values of t obtained is the time in seconds required for the firecracker to reach the given height h.

You can apply these tips and solve the question seamlessly.


Related Questions

What is the Least Common Multiple (LCM) of 3 and 6?

Answers

Answer:

6

Step-by-step explanation:

Both numbers can evenly go into 6: 3 can go into 6 two times, and 6 can go into 6 one time.

I hope this helps!

The LCM of 3 and 6 is 6, which is the smallest positive integer that is a multiple of both numbers.

What is Least Common Multiple(LCM)?

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.

We can use the prime factorization method to find the LCM. We can write each number as a product of its prime factors:

3 = 3

6 = 2 x 3

The LCM is the product of the highest powers of all the prime factors.

Here, the highest power of 2 is 2, and the highest power of 3 is 3. So, the LCM is:

LCM(3, 6) = 2 x 3 = 6

Thus, the LCM of 3 and 6 is 6, which is the smallest positive integer that is a multiple of both numbers.

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Find the rate of change from the given table.

Answers

Answer the answer is 2:)

Step-by-step explanation:

Answer:

D. 8

Step-by-step explanation:

To find rate of change

m=y2-y1

    ------

    x2-x1

I'm gonna use coordinates (7,56) and (9,72)

m= 72-56

    ---------

     9-7

m=    16

        ---

         2

m=8

what is the missing part​

Answers

do 24 times 25 and then divide that in half

Consider these functions: f(x)= -2x - 1 g(x)= -1/2x + 1/2 Which statements, if any, are true about these functions? I. The function f(g(x)) = x for all real x. II. The function g(f(x)) = x for all real x. III. Functions f and g are inverse functions. A. I only B. II only C. I, II, and III D. None of the statements are true.

Answers

Answer:

A. I only

Step-by-step explanation:

Given the functions

h(x)= -2x - 1 g(x)= -1/2x + 1/2

h(g(x) =h( -1/2x + 1/2)

=f((-x+1)/2)

We are to replace x in h(x) with -x+1/2

h((-x+1)/2) = -2(-x+1)/2 + 1

h((-x+1)/2) = -(-x+1)+1

h((-x+1)/2)= x-1+1

h((-x+1)/2) = x

h(g(x) = x

Also for g(h(x))

g(h(x)) = g(-2x-1)

Since g(x) = -x+1/2

g(-2x-1) = -(-2x-1)+1/2

g(-2x-1) =2x+1+1/2

g(-2x-1) = 2x+2/2

g(-2x-1) = 2(x+1)/2

g(-2x-1) = x+1

Sine g(h(x)) ≠ h(g(x)), hence both functions are not inverses of each other

Hence I. The function h(g(x)) = x is the only correct option. Option A is correct

The correct option is: A. I only

We have functions:

[tex]h(x)= -2x - 1 \\g(x)= -\frac{1}{2} x +\frac{1}{2} \\h(g(x)) =h(-\frac{1}{2} x +\frac{1}{2}) \\h(g(x))=f(\frac{-x+1}{2} )[/tex]

Now, replace x in h(x) by [tex]\frac{-x+1}{2}[/tex]

So,

[tex]h(\frac{-x+1}{2} ) = -2(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} ) = -(\frac{-x+1}{2}) + 1\\h(\frac{-x+1}{2} )= x-1+1\\h(\frac{-x+1}{2} )=x\\h(g(x)) = x[/tex]

Now, g(h(x))

g(h(x)) = g(-2x-1)

Since [tex]g(x) = \frac{-x+1}{2}[/tex]

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

As g(h(x)) ≠ h(g(x)),

Therefore, both functions are not inverses of each other.

Hence A. I only

The function h(g(x)) = x is the only correct option.

So, option A is correct.

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Name the property. 7xy = 7yx

Answers

Commutative property of multiplication

whats 10 plus 10 ..........................

Answers

uhhhhh i'm pretty sure 10 plus 10 is 54? i don't know... :(

Answer:

20!!!!!!!!!

Step-by-step explanation:

The numbers in this number set are _______ their absolute values. Answer choices: Smaller than, the same, and larger than. Numbers larger than 1: Zero: Negative Numbers: Positive Proper fractions Non- negative numbers:

Answers

Answer:

Smaller than

Positive numbers

Step-by-step explanation:

The absolute value of a number is the distance from the zero. This can be positive or negative forming the absolute number. The distance is negative when the number is positive. The absolute numbers are used in the equations for the solutions. The numbers greater than zero are positive numbers.

URGENT.

The ice cream shop sells sundaes for $2 each and banana splits for $3 each. One day, the shop sold 8 more sundaes than banana splits and also made a total of $156. Which system of equations represents the situation?

Answers

Answer:

156=2s+3b    s-8=b

Step-by-step explanation:

s=sundaes

b=banana splits

For question 2, find the x- and y-intercept of the line.
5x + 4y = 80
O A. x-intercept is 4; y-intercept is 5.
O B. x-intercept is 20; y-intercept
16.
O C. x-intercept is 5; y-intercept is 4.
O D. x-intercept is 16; y-intercept is 20.

Answers

D. X-intercept is 16; y-intercept is 20.

At attorney charges, a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that. Find the slope and y-intercept for the data.
slope:
y-intercepy:

Answers

Answer:

slope: 150

y-intercept: 250

y= 150x+250

Step-by-step explanation:

pls help i need help quickly

Answers

Answer: 5/6?

Step-by-step explanation:

please help! all answers are appreciated​

Answers

I think it would be 1,200ml or 800 try 1,200ml first

Answer:

Its A. 600 ml.

Step-by-step explanation:

1st. Find the ml of milk for one pancake. So 400 divided by 10, it equals 40ml. So to find how many ml for 15 pancakes...you multiply 15 and 40 ml, and that will give you 600ml needed.

The graph shows the first quadrant portion of four exponential functions. Which equation could generate the BLUE curve? Assume a > 0 for all functions.
A) y = a-x
B) y = a-x + 1
C) y = a-x + 2
D) y = a-x + 3

Answers

Answer:a

Step-by-step explanation:

The solution is:

The initial value of the function is 2

The base of the function is 3

The function shows exponential growth

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

f(x) = 2(3^x)

Exponential functions are those with the following equation:

y = a*b^x

where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.

a is the y-intercept and b is the base.

The initial value of the function is the same as the y-intercept

If a is positive, the function growth. If a is negative, the function decay

Hence, The initial value of the function is 2

The base of the function is 3

The function shows exponential growth

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complete question:

Consider the exponential function f(x) = 2(3x) and its graph.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. The equation of the function is y = f (x). The function crosses the y-axis at (0, 2).

The initial value of the function is.

The base of the function is.

The function shows exponential

WILL GIVE BRAINLEST! Is this relationship proportional why or why not?​

Answers

Yes it is because it passes the line and made at exact point on 12. :)) ^^ give them brainly though

x/4 + 5 = 8

PLEASE HELP ME






Answers

Answer:

hiii...hopefully this is correct x=12

Brandi earned $140 from a summer job to buy new clothes for school. She found several items she would like to buy, but is trying to decide if she has enough money to buy all the items she likes. She found two pairs of shorts for $25 each and four shirts with an average cost of $19 per shirt. She will have to pay 7.5% sales tax.

Answers

Answer:

She will pay a tax of $9.45

Step-by-step explanation:

The question doesn't seem complete, but since we are given her tax rate, then they would surely ask for the amount of tax she paid. So let's work on this.

We are told that she bought two pairs of shorts and one short goes for $25 each, this implies that she will get the two for:

= $25 × 2

= $50

We are also told that she got four shirts that have an average cost of $19 per shirt. This implies that she will get the four shirt for:

= $19 × 4

= $76

Since she will have to pay a tax of 7.5%, then we will calculate it as:

= 7.5% × ($50 + $76)

= 0.075 × $126

= $9.45

Answer:

A. $9.45

B. Total cost = $135.45

Step-by-step explanation:

PART A: If she buys all of the items, how much sales tax will she have to pay?

The sales tax for Brandi's purchase will be $(insert answer here)

PART B: What is the total cost of her purchase including sales tax?

Brandi will spend $(insert answer here) on her purchases, including sales tax.

A.

Total amount earned = $140

Two pairs of shorts = $25 each

Total cost of 2 shorts = 2 shorts × $25 each

= $50

Four shirts = $19 each

Total cost of 4 shirts = 4 × $19

= $76

Amount of Sales tax = 7.5% of Total cost of 2 shorts + Total cost of 4 shirts

= 7.5% ($50 + $76)

= 0.075 × 126

= $9.45

Total cost = Total cost of 2 shorts + Total cost of 4 shirts + Amount of Sales tax

= $50 + $76 + $9.45

= $135.45

Therefore, she has enough money to buy all the items she likes

What is the main idea of the White House

Answers

Answer:

The White House is the solemn residence and the workplace of the President in the United States Of America. The president can also have his family there.

Step-by-step explanation:

The main motto or goal of the white house is to give and protect the fundamental rights of United States citizens

5 · 6 – 33 ÷ 3 + (5 · 2) what is the awnser

Answers

Answer:

29

Step-by-step explanation:

8. What's the GCF of *
(1 Point)
4x2 - 6x + 8

Answers

Answer:2

Step-by-step explanation:

jamie reads 15 pages in 25 minutes and wants to know how many pages she can read in 65 minutes

Answers

Answer:

39

Step-by-step explanation:

15/25 = 0.6 - She can read 0.6 pages in 1 minute.

0.6 X 65 = 39

There are 39 pages she can read in 65 minutes.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Jamie reads 15 pages in 25 minutes

And, wants to know how many pages she can read in 65 minutes

Now, Let number of pages read in 65 minutes = x

Hence, We can formulate;

x / 65 = 15 / 25

x = 15 x 65 / 25

x = 39

Thus, There are 39 pages she can read in 65 minutes.

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i need help to solve please

Answers

Answer:

x = 52

Step-by-step explanation:

Known:

What to find = x

Exterior angle = 142

Right angle = 90

Unknown:

what unknown value is = ?

Interior angle = ?

1. Find the angle of the interior angles.

180 - 142 = 38

2. Add the two known angles

38 + 90 = 128

3. Subtract from 180

180 - 128 = 52

x = 52 is the answer.

Hope this helped,  

Kavitha Banarjee

When converting rational exponents to radical notation, which of the following are correct? Choose all that apply:
1. Numerator of the rational exponent becomes index of the radical notation
2. Negative exponent of the rational exponent makes the radical notation a negative value
3. Denominator of the radical exponent becomes the power of the radicand in the radical notation
4. Denominator of the rational exponent becomes the index of the radical notation
5. Numerator of the rational exponent becomes power of the radicand in the radical notation

Answers

Given:

Converting rational exponents to radical notation.

To find:

The correct statements.

Solution:

According to the property of exponents, conversion of rational exponents to radical notation is

[tex]x^{\frac{a}{b}}=\sqrt[b]{x^a}[/tex]

In [tex]x^\frac{a}{b},[/tex] x is base, a is numerator of the rational exponent and b is denominator of the rational exponent.

In [tex]\sqrt[b]{x^a}[/tex], x is radicand, a is power of radicand and b is index of radical notation.

Denominator of the rational exponent becomes the index of the radical notation.

Numerator of the rational exponent becomes power of the radicand in the radical notation.

Therefore, the correct options are 4 and 5.

Using the conversion of rational exponents to radical notation, it is found that the correct options are:

4. Denominator of the rational exponent becomes the index of the radical notation

5. Numerator of the rational exponent becomes power of the radicand in the radical notation

The conversion of rational exponents to radical notation is modeled by:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

That is:

The numerator becomes the power of the radicand, hence item 5 is correct.The denominator becomes the index of the radical notation, hence item 4 is correct.

A negative exponent just is represented by a fraction, as [tex]a^{-\frac{n}{m}} = \frac{1}{a^{\frac{n}{m}}}[/tex], hence the radical is not negative, and item 2 is incorrect.

A similar problem is given at https://brainly.com/question/13133871

Simplify the expression 288 · 1318 − 288 · 1316.

Answers

Answer:

576

Step-by-step explanation:

Answer quick please!!

Answers

Answer:

8

Step-by-step explanation:

5th grade math. Correct answer will be marked brainliest. What goes in the blank box?

Answers

Answer:

The answer is 1.97 meters per second

Step-by-step explanation:

Plz give brainliest thanks :) Let me explain you how you do this Housefly is 1.967

The 7 is the tenth and the 6 is the hunderth

1.967 round to 1.96 from the hunderths because the last number is greater than 5 so you round up!

Answer:

1.97

Step-by-step explanation:

REMEMBER: 5 or higher, round up, 4 or lower, round down

Since 7 is above 5, we round it up, turning 1.967 to 1.97

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up? please help!!!! IXL is driving me crazy

Answers

Answer:

A store pays $840 for an oil painting. The store marks up the price by 46%. What is the amount of the mark-up?

=

$386.40

Select the number line model that matches the expression 4 - 1

Answers

Answer:

c. None of the above

Step-by-step explanation:

Given the expression, |4 - 1|, the value of the expression would give us 3. Meaning that the distance between coordinate 4 and 1 is 3 units.

None of the graphs given models the expression, |4 - 1|.

Option A, would match |-4 -1| = 5 units

Option B, would match |-1 - 4| = 5 units.

Therefore, the answer is c. None of the above

will mark BRAINLIEST

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

The solution to a system of equations given graphically is at the point of intersection of the 2 lines.

The lines intersect at (2, - 1 ) ← solution

Answer:

the answer is C

Step-by-step explanation:

I think pls dont come at me if i am wrong

Solving each system elimination.

(Help I’ll mark you brainly)

Answers

Answer:

1) x=6, y=-6 which is (6,-6) as an ordered pair

3) x=10, y=-1 which is (10,-1) as an ordered pair

Step-by-step explanation:

Question 1:

Solve them like an addition problem:

-4x-2y=-12

4x+8y=-24

________

(-4x+4x)+(-2y+8y)=(-12+-24)

0x+6y=-36

6y=-36

y=-6

Plug value of y into one of the original equations:

4x+8(-6)=-24

4x-48=-24

4x=24

x=6

Question 3:

Solve them like an addition problem:

x-y=11

2x+y=19

_______

(x+2x)+(-y+y)=11+19

3x+0y=30

3x=30

x=10

Plug value of x into one of the original equations:

10-y=11

-y=1

y=-1

How do I solve this equation?

Answers

Answer:

x = 132

Step-by-step explanation:

Solve by raising both sides to the multiplicative inverse of the exponent.

[tex]((x-7)^{\frac{2}{3} } )^{\frac{3}{2} } =25^{\frac{3}{2} }[/tex]

x - 7 = 125

x = 132

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