if a certain cannon is fired from a height of 8.5 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, In seconds, is found by the function h(t)=-4.9t^2+27.5t+8.5 Find the time it takes for the cannonball to strike the ground.
Answers
Answer: 2.88 seconds
Step-by-step explanation:
we need to find t in the formula, when h(t) = 0, (meaning it hits the ground).
0 = -4.9t² + 27.5t + 8.5
Using the quadratic formula:
x = (-b ± √b² - 4ac)/2a
x = (-27.5 ± √27.5² - 4(-4.9)(8.5))/2(27.5)
x = (-27.5 ± 30.38)/55
x = 2.88 OR x = -57.88
Since time cannot be negative, we will stick with the positive answer, 2.88 seconds.
Hope this helped :)
Related Questions
simplify the ratio in the simplest form 2.5: 20
Answers
Answer:
1:8
Step-by-step explanation:
Answer:
1:8
Step-by-step explanation:
Here , 2.5:20
or 25/10:20
or 25:200(Multiplying by 10)
or 1:8(Dividing both sides with 25)
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
a 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
b 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
c 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
d 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
Answers
|| ▼ Answer ▼ ||
Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
|| ✪ Solution ✪ ||
Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:
[tex]4x+89.95=628.35-- > (1)[/tex]
The solution to equation (1) is as follows:
[tex]4x=628.35-89.95=538.4[/tex]
[tex]x=\frac{538.4}{4} =134.6[/tex]
[tex]x=134.6[/tex]
x = $134 and 60 cents
Conclusion: The answer is Option (a).
Hope this helps!
If you have any queries please ask.
PLEASE HELP ME FRIENDS
Answers
Answer:
x=10
Step-by-step explanation:
Since the two given expressions are alternate interior angles ( as a result of the parallel line, which are indicated by the arrows on the two lines going through the middle line, the transversal) you can set them equal to each other.
5x-10 = 3x+10
add 10 on both sides
5x = 3x + 20
subtract 3x on both sides
2x=20
divide by 2 on both sides
x=10
Answer:
10=x
40 degrees for both
Step-by-step explanation:
3x+10=5x-10
3x+20=5x
20=2x
10=x
3(10)+10=40
5(10)-10=40
Grace Charges $12 An Hour To Babysit And an Additional $20 for Homework help
Write an Expression that can be used to find the total amount of money Grace makes for an hour
Answers
Heres for the essay like I said a lot of editing and rephrasing but it should work
I got a hundred from my teacher.
When a number n is decreased by 12 and then the result is multiplied by 3, the product is equal to 21 . Write an equation and solve it to find the value of n .
The equation is , The value is .
Answers
Answer:
Step-by-step explanation:
19-12=7x3=21
whats the sum of 5 consecutive even numbers is 100
Answers
Answer:
16
Step-by-step explanation:
First, rewrite 3/4 and 7/9 so that they have a common denominator.
Answers
Answer:
3/36 and 7/36
Step-by-step explanation:
The new fractions with common denominator are 27/36 and 28/36
What are fractions?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that, rewrite 3/4 and 7/9 so that they have a common denominator.
To make their denominator common, multiply, the first fraction by 9 and second denominator by 4,
Then,
3×9/4×9 = 27/36
7×4/9×4 = 28/36
Hence, the new fractions with common denominator are 27/36 and 28/36
Learn more about fractions, click;
https://brainly.com/question/10354322
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Samantha's salary is $54,000 per year. Her car payment totals $3,600 0/ per year. What percent of her salary is spent on car payments? Round to the nearest tenth percent. Be sure to include a % sign.
Answers
= 3600 / 54000
= 0,06666
x 100
≈ 6,7%
Choose the solution(s) of the following system of equations:
x2 + y2 = 6
x2 – y = 6
- no solution
- ( sqrt 6,0)
- ( sqrt 5,0)
- ( sqrt 5, -1)
- infinitely many solutions
- ( -sqrt 6, 0)
- ( -sqrt 5, 1)
- ( -sqrt 5, -1)
THE ANSWER IS
B D F I on edge
Answers
Answer: B D F H
Step-by-step explanation:
- no solution no
- ( sqrt 6,0) yes
- ( sqrt 5,0) no
- ( sqrt 5, -1) yes
- infinitely many solutions no
- ( -sqrt 6, 0) yes
- ( -sqrt 5, 1) no
- ( -sqrt 5, -1) yes
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(0) = 2 C. g(-4) = -11 D. g(-13) = 20
Answers
Answer:
The correct option is;
D. g(-13) = 20
Step-by-step explanation:
The given information are;
The domain of the function, g is given as -20 ≤ x ≤ 5
The range of the function, g(x), is given as -5 ≤ g(x) ≤ 45
g(0) =-2 and g(-9) = 6
Therefore, given that the function increases from -2, to 6 as the input variable decreases from 0 to -9
Therefore, if the variable, x, decrease further, to -13, the function will likely increase further, to about 20, while in the variable, x, increases further, to 7, the function may likely decrease to about -1
Therefore, we can get either;
g(-13) = 20 or g(7) = -1
However, the domain of the function is -20 ≤ x ≤ 5, therefore, 7 is outside the domain, giving g(-13) = 20 as the only statement that could be true
16. A can in the shape of a cylinder has a diameter of 6 centimeters
and a height of 10 centimeters, which measurement is closest to
the total surface area of the can in square centimeters?
Answers
Answer:
surface area = 245.04 cm² (nearest tenth)
Step-by-step explanation:
Surface area of a closed cylinder = [tex]2\pi r^2+2\pi rh[/tex]
Given:
diameter = 6 cm ⇒ radius = 3 cmheight = 10 cm⇒ surface area = 2 × [tex]\pi[/tex] × 3² + 2 × [tex]\pi[/tex] × 3 × 10
= 78[tex]\pi[/tex]
= 245.04 cm² (nearest tenth)
Convert the scientific notation to a decimal number
[tex]4 \times {10}^{ - 5} cm[/tex]
Answers
Answer:
install socratic it Will give you all answer no kiding
Question 6 of 10
What happens to a line when the y-intercept is changed? Check all that apply.
A. As the y-intercept decreases, the graph of the line shifts left.
B. As the y-intercept increases, the graph of the line shifts up.
O c. As the y-intercept decreases, the graph of the line shifts down.
D. As the y-intercept increases, the graph of the line shifts right.
E. As the y-intercept increases, the graph of the line gets steeper.
Answers
The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
anybody know this is a little slow
Answers
Good Luck.
Answer: -0.1, 0, 0.8, 1.2, 1.6
Step-by-step explanation:
think of numbers on a line with zero in the middle, the numbers would be to the right, positive and inclining, to the left, negative and decreasing, when you throw decimals into the list, you organize them from least to greatest like normal numbers, but the normal numbers are always.
A ship leaves port at noon and has a bearing of S29oW. The ship sails at 20 knots. How many nautical miles south and how many nautical miles west will the ship have traveled by 6:00 PM
Answers
Answer:
Approximately [tex]58.2\; \text{nautical miles}[/tex] (assuming that the bearing is [tex]{\rm S$29^{\circ}$W}[/tex].)
Step-by-step explanation:
Let [tex]v[/tex] denote the speed of the ship, and let [tex]t[/tex] denote the duration of the trip. The magnitude of the displacement of this ship would be [tex]v\, t[/tex].
Refer to the diagram attached. The direction [tex]{\rm S$29^{\circ}$W}[/tex] means [tex]29^{\circ}[/tex] west of south. Thus, start with the south direction and turn towards west (clockwise) by [tex]29^{\circ}[/tex] to find the direction of the displacement of the ship.
The hypothenuse of the right triangle in this diagram represents the displacement of the ship, with a length of [tex]v\, t[/tex]. The dashed horizontal line segment represents the distance that the ship has travelled to the west (which this question is asking for.) The angle opposite to that line segment is exactly [tex]29^{\circ}[/tex].
Since the hypotenuse is of length [tex]v\, t[/tex], the dashed line segment opposite to the [tex]\theta = 29^{\circ}[/tex] vertex would have a length of:
[tex]\begin{aligned}& \text{opposite (to $\theta$)} \\ =\; & \text{hypotenuse} \times \frac{\text{opposite (to $\theta$)}}{\text{hypotenuse}} \\ =\; & \text{hypotenuse} \times \sin (\theta) \\ =\; & v\, t \, \sin(\theta) \\ =\; & v\, t\, \sin(29^{\circ})\end{aligned}[/tex].
Substitute in [tex]\begin{aligned} v &= 20\; \frac{\text{nautical mile}}{\text{hour}}\end{aligned}[/tex] and [tex]t = 6\; \text{hour}[/tex]:
[tex]\begin{aligned} & v\, t\, \sin(29^{\circ}) \\ =\; & 20\; \frac{\text{nautical mile}}{\text{hour}} \times 6\; \text{hour} \times \sin(29^{\circ}) \\ \approx\; & 58.2\; \text{nautical mile}\end{aligned}[/tex].
Adam and 3 riends go on holiday together for a week .The costs of the holiday will be shared equally between 4 friends .These are the cost: £1460 for 4 return plane tickets £720 for the accomidation £180 for the car hire for a week . How does adam have to pay for his share of the cost
Answers
Answer:
Adam's share is £590
Step-by-step explanation:
Given
Return Ticket = £1460
Accommodation = £720
Car Hire = £180
Required
Determine Adam's share
First, we need to determine the total cost.
Total = Return Ticket + Accommodation + Car Hire
Total = £1460 + £720 + £180
Total = £2360
Next, is to determine the average.
[tex]Average = Total/4[/tex]
[tex]Average = 2360/4[/tex]
[tex]Average = 590[/tex]
Hence;
Adam's share is £590
Write the prime factorization of 126.
Answers
Answer is attached
Which grade you in btw?
Chris drove his car to the movie theater. The graph below represents Chris's speed over time, from when he left his house to when he arrived at the theater. At which times did Chris most likely stop at a stoplight? A. time = 3 min, time = 10.5 min, time = 12 min B. time = 2 min, time = 11 min C. time = 0 min, time = 21 min D. time = 1.5 min, time = 6 min, time = 14 min
Answers
Answer:
B
Step-by-step explanation:
Stopping at a stoplight means that Chris's speed would be zero on the graph. The times that his speed is zero are times t = 0, t = 2 min, t = 11 min, and t = 21 min. Because the graph shows his speed from the time he left his house (at t = 0) to the time he arrived at the theater (at t = 21 min), the most likely times he stopped at stoplights are times t = 2 min and t = 11 min.
(100 points, Need help with this ASAP) I bought a used grain silo. I am going to use it as a groom's room at our venue. I am going to paint the inside of it to brighten it up a little. I need to decide how many cans of paint to buy. The silo is 15' across and 10' tall to the top of the cylindrical part. The top of the silo looks like a funnel. It is also 15' across. It is 4' tall. The ceiling is the funnel top. A can of paint covers approximately 400 sq ft. How many cans of paint will I need to buy?
Answers
Answer:
2 cans of paint
Step-by-step explanation:
Surface area of an open cylinder = [tex]2\pi rh[/tex]
(where r is the radius and h is the height)
⇒ SA = 2 × [tex]\pi[/tex] × (15 ÷ 2) × 10 = 150[tex]\pi[/tex] ft²
Surface area of an open cone = [tex]\pi r\sqrt{h^2+r^2}[/tex]
(where r is the radius and h is the height)
⇒ SA = [tex]\pi[/tex] × (15 ÷ 2) × √(4² + 7.5²) = 63.75[tex]\pi[/tex] ft²
Total surface area = 150[tex]\pi[/tex] + 63.75[tex]\pi[/tex] = 213.75[tex]\pi[/tex] = 671.52 ft² (nearest hundredth)
If one can of paint covers approx. 400 ft² then 2 cans of paint needed to cover 671.52 ft²
2^4. 2^5-(2^2)^2
Simplify the expression
Answers
Answer:
Today: Monday, 12 October 2020
Hour: 17.31 WIB (in Indonesian)
_________________________
2⁴ × 2⁵ - (2²)²
= 2⁹ - 2⁴
= 512 - 16
= 496
If you place these marbles in a bag close your eyes and choose a marble what is the probability that it will be blue?
Answers
Answer:
6/14
Step-by-step explanation:
There are 14 marbles in total.
Out of the 14 marbles, 6 are blue.
please i need help. i dont know how to do this and its due tmr
Answers
Answer:
B
Step-by-step explanation:
This is because both the denominator and numerator of 3/4 is negative, so the whole fraction is technically negative. Having that symbol ( - ) in front of it also means the whole fraction is negative. It's the same thing.
Mary is designing a logo for her band. She draws the two angles shown
Answers
Answer:
B
Step-by-step explanation:
5
Can someone help me please
Answers
Answer:
theres four lines of symmetry goes up, side, and both diagonal ways
Step-by-step explanation:
Which of the following best describes the slope of the line below?
A. Zero
B. Undefined
C. Positive
D. Negative
Answers
Answer:
Undefined
Step-by-step explanation:
It is undefined because the x value equals multiple y values so the slope is undefined :)
Have a great day!!
Please rate and mark brainliest!!
Answer: Choice B
Undefined
Reason:
Vertical lines always have undefined slopes.
This is because slope = rise/run, but run = 0 for vertical lines. The "run" describes how much the line moves to the right, but such a thing doesn't happen since it's stuck on one x value only.
So we could have something like slope = rise/run = 1/0 = undefined. Dividing over zero is not allowed.
The antitoxin was heated to 90ºF before it was given to patients. It was 58º colder when it arrived in Nome. What temperature was that?
Answers
Answer:
32°F
Step-by-step explanation:
Temp. = 90°F
Original was 58° less.
90 - 58
= 32°F
Original temperature = x
But the original temperature was 58 °F colder meaning it was 58 °F less than the new one
Hence x = 90 - 58 = 32 °F
Answer = 32 °F
Imani's rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase
from $825 to 875. Who had the larger percent increase in their rent? Remember to set up your ratios using
the original rent. See Exercise #1 from the lesson if you want to see a similar problem.
Pls send the equation
Answers
Answer:
Imani's rent had a higher percent increase
Step-by-step explanation:
A change from 560 to 600 represents a positive change (increase) of 7.1428571429%
A change from 825 to 875 represents a positive change (increase) of 6.0606060606%
Percent change = New - Old /825 × 100
What is the relationship between corresponding sequences 2 1 4 2 6 3 8 4 10 5 (GIVING BRAINLIEST)
Answers
Answer: to find the answer you need to
Step-by-step explanation:
Create a table with headings n and an where n denotes the set of consecutive positive integers, and an represents the term corresponding to the positive integers. You may pick only the first five terms of the sequence. For example, tabulate the series 5, 10, 15, 20, 25, . . .
Solve the first common difference of a. Consider the solution as a tree diagram. There are two conditions for this step. This process applies only to sequences whose nature are either linear or quadratic.Condition 1: If the first common difference is a constant, use the linear equation ax + b = 0 in finding the general term of the sequence.
And yeah
Study the diagram of circle A, where BC is tangent to circle A at point C. Also, BC=3, BA=5, and AC is a radius.
What is the length of the radius, r?
A: 2
B: 4
C: 2.5
D: 1.5
Answers
Answer:
the answer is B: 4
Step-by-step explanation:
i have no explanation i just finished the test right now.
Answer:
4
Step-by-step explanation:
Took test and got it right
(6.72 x 10^9) - (2.01 x 10^9)
Answers
Answer:
the answer I got is 4.71 x 10^9