A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

h(t)=−4.9t2+100t+325.

The independent variable is the one that we change

t which is in seconds

The dependent variable is the result

h(t) which is in meters


Related Questions

Um aparelho elétrico tem potência de 6500 watts. É usado quatro vezes ao dia. Sendo o valor do kwhR$0,25 determine o custo de energia elétrica no final de trinta dias, sabendo que o mesmo cada vez que é ligado no dia permanece ligado 2 horas e 36 minutos

Answers

Answer:

After thirty days with the mentioned use the cost of the device is R$ 507,00.

Step-by-step explanation:

We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:

[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]

[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]

[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]

[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]

[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]

After thirty days with the mentioned use the cost of the device is R$ 507,00.

In the given figure, values of x and y, are 1. 40°, 25° 2. 30°, 40° 3. 30°, 20° 4. 40°, 35°

Answers

Answer:

1. 40°, 25°

Step-by-step explanation:

The sum of opposite angles of a quadrilateral inscribed in a circle is 180°.

2x + 4 + 4y - 4 = 180

x+ 10 + 5y + 5 = 180

2x + 4y = 180

x +5y + 15 = 180

x + 2y = 90

x + 5y = 165

x = 90 - 2y

x = 165 - 5y

90 - 2y = 165 - 5y

5y - 2y = 165 - 90

3y = 75

y = 25

x = 90- 2y = 90 - 2*25 = 40

x= 40, y = 25

simplify 6^7/6^5 leaving you answer in index form

Answers

Answer:

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] , thus

[tex]\frac{6^{7} }{6^{5} }[/tex] = [tex]6^{(7-5)}[/tex] = 6²

The answer is 6^2.

What is division?

Division is the process of splitting a number or an amount into equal parts.

here, we have,

6^7/6^5

we know,

a^m/a^n

=a^(m-n)

so, we get,

6^7/6^5

=6^2

hence, The answer is 6^2.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

is x^2 + y^2 = 5 a function

Answers

Answer:yes

Step-by-step explanation:

1. What is 7/4 as a mixed number?
A. 17/4
B. 13/4
C. 3/4
D. 11/4

Answers

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

13ab

Step-by-step explanation:

5ab+9ab-ab=ab(5+9-1)=13ab

You select a marble without looking and then put it back. If you do this 10 times, what is the best prediction possible for the number of times you will pick a pink or a green marble?

Answers

The probability of selecting either a pink or green marble from the 10 marbles is; 2/10

What is the probability of selection?

We are told that you try to select a marble ten times.

Now, we want to try to find out the best probability of selecting either a pink or a green marble.

Now, it's possible that there are other marbles but if we want to know just for this two amrbles, then we can write the probability as;

P(either pink or green marble) = 2/10

Read more about Probability of Selection at; https://brainly.com/question/251701

Answer:

3

Step-by-step explanation:

What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?

Answers

Answer:

135ft^3

Step-by-step explanation:

Multiply all of the numbers to get your answer.

Which graph represents the function g(x) = |x + 4| +2

Answers

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

Answer:

its A

Step-by-step explanation:

Malik’s solution to the equation , when , is shown below.

Answers

Question: What is the Question?

There isn’t enough information

HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?

Answers

The one that goes:
X: 1,2,3,4,5
Y: 5,10,15,20,25

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answers

Answer:

(2,7)

Step-by-step explanation:

y=6x-5

y=x+5

Since they are both equal to y, set them equal to each other

6x-5 = x+5

Subtract x from each side

6x-x-5 = x+5-x

5x-5 = 5

Add 5 to each side

5x-5 +5 = 5+5

5x=10

Divide by 5

5x/5 = 10/5

x=2

y = x+5

y = 2+5

y =7

Answer:

Choice C: (2,7)

Step-by-step explanation:

Using substitution method let y = x + 5

We have x + 5 = 6x - 5

Get let’s get rid of the 6x, so -5x + 5 = -5

Get rid of the 5 by subtracting by 5, so -5x = -10

Divide -5 on both sides and you get x = 2

Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.

So (2,7)

Please mark BRAINLIEST!

Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p

Answers

Answer:

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)

sum interior of polygon help!

Answers

540 degree = interior angles

Answer:

180

Step-by-step explanation:

Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers

Answers

The answer is 3 that’s not rug I recalling don’t no the answer

Based on an architectural drawing, a roof slopes to a drain
along the function represented in the table that defines the
edge of slope, where x is the horizontal distance in feet and
f(x) is the vertical distance in feet.
If the drain is at the minimum point, how far is it from the wall
defined by the y-axis?
0 feet
8 feet
80 feet
160 feet

Answers

Answer:

  80 feet

Step-by-step explanation:

The smallest value of f(x) in the table is f(x) = 0. It occurs where x = 80.

Since x is the horizontal distance in feet from the wall, the minimum point (drain) is 80 feet from the wall.

Answer:

c

Step-by-step explanation:

edge2020

(PIC INSIDE!!!) What is the equation of the following linear function?

Answers

Answer:

y=4x-4

Step-by-step explanation:

Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.

Therefore, the equation is y=4x-4. Hope this helps!

Jaylen and Michael are making a pizza with a 16 inch diameter. They want to put three cheese blend on 5 of the 45° slices (including the crusts). Each handful of cheese covers 21 square inches, Calculate the area of the pizza slices that they want to put cheese on.

Answers

Answer:

125.66 in2

Step-by-step explanation:

The area of the pizza is given by the formula:

Area = pi * radius^2

The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches

Then, the total area is:

Area = pi * 8^2 = 64pi in2

They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.

If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:

360° -> 64pi in2

225° -> x in2

x = (225/360) * 64pi

x = 125.66 in2

The graph shows the function f(x) = lx - h| + k. What is the
value of h?

Answers

Answer:h=f(X)-x-k

Step-by-step explanation:

F(x)=x+ h+k

h = F(x)-x -k

Answer:

-1.5

Step-by-step explanation:


Help me ASAP please.

If two lines intersect and one angle measures 25°, what are the measures of the other angles?


25
75
155
125

Answers

Answer:

155 and 25

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.

180-25 = 155

HELPPPPP
What are the coordinates of the hole in the graph of the function?

f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.

If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)

Step-by-step explanation:

I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:

We have the function:

f(x) = (x^2−3x−10)/(x−5)

We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.

If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.

First, we need to see if the numerator part is also zero when x = 5.

so

5^2 - 3*x - 10 = 25 -15 - 10 = 0

Ok, let's find the other root of the quadratic function:

x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)

then we have: (b + 5) = 3 and b*5 = -10

then b = -2, this means that we can write the numerator part as:

x^2 - 3*x - 10 = (x - 5)*(x + 2)

then our function is:

f(x) =   (x - 5)*(x + 2)/(x - 5) = x + 2

This function has no holes.

Now, if the function actually is:

f(x) = x^2−3x−10/x−5

Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0

Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)

Answers

Answer:

18 / 2 = 9

9 / 2 = 4.5

4.5 / 2 = 2.25

The next three terms are 9,4.5,2.25

Hope this helps

Step-by-step explanation:

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS


IF Quadrilateral ABCD was rotated 90 degrees clockwise about point C, what would be the coordinates of B’?


A) (1, 1)
B) (2, 4)
C) (4, 2)

Answers

Answer:

X1,Y1

Step-by-step explanation:

If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.  

Hope this helps!

I will mark you brainliest!!! Identify the type of function.

Answers

Answer:

quadratic

Step-by-step explanation:

Uh I’m pretty sure it’s c, I did it plans got it correct

The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
A. 3/16
B. 9/19
C. 1/2
D. 5/7
E. 18/19

Answers

Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

a = 3b

[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )

c = 5b

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

Given

[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c

= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]

= [tex]\frac{6b+3b}{4b+15b}[/tex]

= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator

= [tex]\frac{9}{19}[/tex] → B

THIS QUESTION GOT ME STRESSIN HELPPP A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

14 and 10

Step-by-step explanation:

14x5=70

10x3=30

100=70+30

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).


Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).


Number line from negative 10 to positive 10 in increments of 1 is shown. In between the whole numbers, there should be a tick mark. Only the whole numbers are labeled. A point labeled R is placed halfway between the 3rd and 4th tick marks to the left of 0.

Answers

Answer: - 2.5

Step-by-step explanation:

The point R is - 2.5,

The numbers on the number line are arranged sequentially and in regular increment of 1 with only the integer numbers being displayed and ticked. The point R sits directly in between - 3 and - 2. Therefore, to accurately obtain the position of the blue dot, we take the average of both positions binding the blue dot. That is - 3 and - 2

Average = ( - 3 + - 2) / 2

Average = - 5 / 2 = - 2.5

Answer: yea it it  - 2.5 i just did that test and got it right <3

Step-by-step explanation:

write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

I need help please!!​

Answers

Answer:

8

Step-by-step explanation:

x = 8

f(8) = |8|

f(8) = 8

Does this help?

What is the value of x?

Answers

The line is 7 units long. Add the two equations together and set equal to 7:

7x-1 + 2x-1 = 7

Combine like terms:

9x-2= 7

Add 2 to both sides:

9x= 9

Divide both sides by 9:

X= 1

Answer:

For 2x -1, X = 3 (2 x 3 = 6 - 1 = 5)

For 7x -1, X = 1/7 or 0.142857.

Step-by-step explanation:

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