A startled armadillo jumps straight into the air with an initial vertical velocity of 14ft / s . After how many seconds does it land on the ground? Use the equation - 16t ^ 2 + Vt + h . Round your answer to the nearest hundredth. The armadillo lands back on the ground after seconds.
Answers
Using the given equation, it is found that it lands on the ground after 0.875 seconds.
What is the equation for the projectile's height?It is given by:
[tex]h(t) = -16t^2 + vt + h[/tex]
In which:
v is the initial velocity.h is the initial height.In this problem, considering that the projectile jumps straight into the air with an initial vertical velocity of 14 ft/s, the parameters are v = 14 and h = 0, hence:
[tex]h(t) = -16t^2 + 14t[/tex]
It lands on the ground when h(t) = 0, hence:
[tex]-16t^2 + 14t = 0[/tex]
[tex]t(-16t + 14) = 0[/tex]
Then:
[tex]16t = 14[/tex]
[tex]t = \frac{14}{16}[/tex]
[tex]t = 0.875[/tex]
It lands on the ground after 0.875 seconds.
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Related Questions
What is the factorization of 81a6 - 100? (9a2 − 10)(9a3 10) (9a2 − 10)(9a3 − 10) (9a3 − 10)(9a3 10) (9a3 − 10)(9a3 − 10)
Answers
Answer:
(9 a³− 10)(9a³+ 10)
Step-by-step explanation:
Which graph represents a function?
Answers
Answer:
the third one (bottom left)
Step-by-step explanation:
all the others have at least one x value with multiple possible y values.
but for a function, there must be exactly 1 y value for each defined x value.
Find the area of the rectangle.
Answers
The area of the rectangle is the length times the width.
Now let's convert all these fractions into improper fractions to make it easier to multiply
[tex]4\frac{3}{4} =\frac{19}{4} \\1\frac{1}{6} =\frac{7}{6}[/tex]
Now let's multiply them for the area = [tex]\frac{19}{4} *\frac{7}{6} =\frac{133}{24} =5\frac{13}{24}[/tex] square feet.
Hope that helped!
4 divided by 3678 pls help
Answers
Answer:
0.00108754758 If 4/3678 and 919.5 if 3678/4
Step-by-step explanation:
Answer:
Answer: 2/1839
Step-by-step explanation:
4 ÷ 3678 = 0.00108754758 or 2/1839
( 10 - y ) ( 10 + y ) = ?
Pa answer po please
Answers
Let's factorise it :
[tex]\: {\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) }[/tex]
[tex]\: {\qquad \dashrightarrow \sf 10(10 + y) + [ - y(10 + y)] }[/tex]
Using distributive property we get :
[tex]\: {\qquad \dashrightarrow \sf {10}^{2} + 10y+ (- 10y - {y}^{2} ) }[/tex]
[tex]\: {\qquad \dashrightarrow \sf {10}^{2} \: \cancel { + 10y }\: \: \cancel{ - 10y } - {y}^{2} }[/tex]
[tex]\: {\qquad \dashrightarrow \sf 100 - {y}^{2} }[/tex]
Therefore,
[tex] {{{\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) = 100 - {y}^{2}}}}[/tex]
8 ft 7 in. = in.
Ayudaaa help
Answers
Answer:
103 inches
Step-by-step explanation:
So, Since we know that 12 in = 1 foot
all we have to do is multiply 12 by 8. Think of it like: what will 8 sets of 12 blocks give us?
8 x 12 = 96
So, 8 feet is 96 inches.
Now, Just add the 7 inches into the 96 inches.
96+7 = 103 inches
and then you are done!
;)
An angle measures 82º more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
Step-by-step explanation:
Let one angle be x
Other angle =x + 82
Complementary angles add up to 90
x + x + 82 = 90
2x + 82 = 90
2x = 90 - 82
2x = 8
x = 8/2
x = 4
Other angle = x + 82
= 4 +82
= 86
The angles are: 4 , 86
An angle measures 82º more than the measure of its complementary angle. What is the measure of each angle?
❖ Explanation -:Given -:
An angle measures 82º more than the measure of its complementary angle.Need to find -:
Measure of each angleAssuming -:
An angle measures 82º more than the measure of its complementary angle.
Let us assume one angle as x
Then other angle = (x + 82)
Solution -:
First we will make an equation
We know,
Complementary angles add up to 90°
x + (x + 82°) = 90°
→ x + x + 82° = 90°
→ 2x + 82° = 90°
→ 2x = 90° - 82°
→ 2x = 8
→ x = [tex]\cancel{\dfrac{8}{2}}[/tex]
→ x = 4
Substituting the value of x = 4
One angle = x = 4°
Other angle = x + 82° = (4 + 82)° = 86°
Final Answer -:
The angles are 4 and 86.[tex] \rule{180pt}{2pt}[/tex]
13. Complete the paragraph proof.
Given: 21 and 22 are supplementary, and 22 and 23 are supplementary.
Prove: 21223
By definition of supplementary angles, m_1 = m22 = (a) and m22 - mz3 = (6)
Then, m_1 - m42 = m_2 + m23 by the
(c). Subtract mZ2 from each side. You
get m2l= (d), or 21 (e)
Answers
The complete paragraph proof is explained below.
What are supplementary angles?Two or more given angles are said to be supplementary when on adding there individual measure, it produce the sum of angles on a straight line i.e. 180^o.
To complete the paragraph proof, we have;
m<1 + m< = 180^o (definition of supplementary angles)
m<2 - m<3 = m<2 - m<1
m<1 + m<2 = m<2 + m<3 (by the addition property of supplementary angles)
subtract m<2 from each side,
m<1 + m<2 - m<2 = m<2 + m<3 - m<2
you will get;
m<1 = m<3
Therefore, m<1 ≅ m<3
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hello people ~
What's the area of a rectangle whose width is 13cm & length is 7cm?
Answers
Answer: The area of the rectangle is 91cm
Answer:
91cm²
Step-by-step explanation:
area of rectangle = width × length
13 × 7 = 91cm²
27 added to the product of 68 and 32
Answers
Answer:
2203
Step-by-step explanation:
product of 68 and 32
= 32× 68
= 2176
adding 27
=2176 + 27
= 2203
Answer:
(68 x 32) + 27
2203
Step-by-step explanation:
(68 x 32) + 27
2176 + 27
2203
Have an amazing day!
PLEASE RATE!!!
Steve Rogers invested $2400 in an account tht pays 4% compounded continuously and how has $3500. How long did it take Steve's money to grow that much?
Answers
Answer:20years
Step-by-step explanation:
Kenzie makes quilts from blue and purple pieces of fabric. The diagram shows the ratio of blue pieces to purple pieces.
A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Blue pieces. The second tape has 5 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Purple pieces.
A tape diagram with 2 tapes of unequal lengths. The first tape has 3 equal parts. A curved bracket above the first tape is labeled Blue pieces. The second tape has 5 equal parts of the same size as in the first tape. A curved bracket below the second tape is labeled Purple pieces.
The table shows the number of purple pieces and the number of total pieces that Kenzie will make on two of her quilts.
Based on the ratio, complete the missing values in the table.
Quilt Purple pieces Total pieces
AAA
565656
BBB 202020
Answers
Answer:
According to khan academy it states that the answer is 35 and 32
Step-by-step explanation:
When I was on khan I used the guys answer on to of me and got it wrong. I promise that it is 35 and 6 because I multipled
Answer:
35 and 32
Step-by-step explanation:
35 goes in the first row and
35 in the second row.
i got the answer from khan academy
LOTS OF POINTS FOR A 6th GRADE MATH QUESTION
giving brainliest why does no1 help me :(
Answers
Answer:
60yd²Step-by-step explanation:
1. Find the Surface area of the Triangles
3x4x1/2=
12x1/2=
6
For both of the triangles =
6x2=12
So, the two triangle's surface area is 12 yd²
2. Find the surface area of the Base (rectangle)
4x4=16
So, the surface area of the base is 16yd²
3. Find the surface area of the back rectangle
3x4=12
So, the surface area of the back rectangle is 12yd²
4. Find the surface area of the top rectangle
4x5=20
So, the surface area of the top rectangle is 20yd²\
5. Add up all of the answers for Surface area.
12+16+12+20
12+16=28
28+12=40
40+20=60
So hence, your answer is 60yd²Thanks!
Mark me brainliest!
1. The height of five players are 153 cm,140 cm,148 cm,150 cm, and in the average height?
Answers
[tex] \pmb{average = \frac{sum}{no. \: of \: terms} }[/tex]
[tex] \\ [/tex]
[tex] \pmb{average = \frac{591}{4} }[/tex]
[tex] \\ [/tex]
[tex] \pmb{average = 147.75}[/tex]
In Chicago, there is a 30% chance that Memorial Day will have a high temperature in
the 70s. What is the probability that next Memorial Day will not have a high
temperature in the 70s in Chicago?
Answers
Answer:
70%
Step-by-step explanation:
the key word is not. it says there is a 30 percent chance of it being 70. the question asks what is the percent that it is - not - 70. the equation will be 100 - 30 = 70
factroise
w² - 5w
I'm looking for the explanation for this equation please help me out.
Answers
Step-by-step explanation:
Nun much take "w"outside from dis equation
w²-5w= w(w-5)
w (w - 5)
Step-by-step explanation:
w² - 5w
Factorise the common factor out; w.
w (w - 5)
It can't be further simplified.
=》Answer: w (w - 5)
__________
Hope it helps ⚜
Here again, thanks!!
Irrelevant answers will be deleted.
Answers
Direction: Give at least three examples of quantities you know or you have or experienced that show different types of variation.
━┈─────────────────────┈━
Hello there. I'll give you some examples of quantities I know that shows different types of variation.
Here's my answer. Hope this helps! :)
[tex] \underline \mathcal{ANSWER:}[/tex][tex]\bold{ Type \: of \: variation: \: \purple{ INVERSE}}[/tex]The rate (r) at which a person types a certain manuscript varies inversely as the time (t) spent in typing. The cost (c) per person of renting a private resort varies inversely as the number (n) of persons sharing the rent.— — — — — — — — — —
[tex] \bold{ Type \: of \: variation: \: \purple{DIRECT}}[/tex]The number of slices (s) of pizza is proportional to the number of person (p) sharing the pizza. The number of servings (s) of snack varies directly as the number of my friends (f) attending meetings.— — — — — — — — — —
[tex] \bold{Type \: of \: variation: \purple{ JOINT}}[/tex]Simple interest (s) varies jointly as principal (p) and time (t). The amount of gasoline (a) used by a motorboat varies jointly to the distance (d) travelled and the speed (s)._______________❦︎_______________
two nimbers have a product of 90 and a sum of 19. What are the two numbers?
Answers
Answer:
9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181
helppppppppppp please
Answers
Answer:
Ride a rollercoaster and Zendaya
Step-by-step explanation:
Coefficients are the number in front of the variable and constants are just plain old whole numbers. Terms are separated by signs.
Have a good one! Hope this answer helps you!
Two functions are defined as follows: f : x → 2x - 3 and g : x → x2 - 1
(i) Calculate f(5)
(ii) g( - 3) =
(iii) fg(x)=
(iv)gf(x)=
(v) f-1(x)=
Answers
g(-3) = (-3)2-1 = -7
fg(x) = f(2x-1) = 2(2x-1)-3 = 4x-2-3 = 4x-5
gf(x) = g(2x-3) = 2(2x-3)-1 = 4x-6-1 = 4x-7
let y=f(x)
y=2x-3
make x the subject,
2x=y+3
x = (y+3)/2
f-1(y) = (y+3)/2
f-1(x) = (x+3)/2
Someone help with this please
Answers
Answer:
looks like a 54 degree angle
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE
Answers
Answer:
∠SDA, ∠ADS
Step-by-step explanation:
Please answer
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Answers
Answer:
[tex]y=\frac{6}{5}x-24[/tex]
Step-by-step explanation:
[tex]Since\ the\ yellow\ points\ are\ \left(20,0\right)and\ \left(70,60\right)[/tex]
[tex]so,\ set\ the\ equation\ of\ this\ is\ y=mx+b[/tex]
[tex]\rightarrow0=m\times20+b[/tex]
[tex]60=m\times70+b[/tex]
[tex]get\ m=\frac{6}{5},b=-24[/tex]
[tex]so,\ the\ slope-intercept\ form\ of\ it\ is[/tex]
[tex]y=\frac{6}{5}x-24[/tex]
[tex]\left\{Substitution\ method\right\}[/tex]
I hope this helps you
:)
What are the slope and y-intercept of the linear function shown in the grid?
Answers
Answer:
C Slope = -4/3, Y-Intercept = 4
Step-by-step explanation:
The Y- Intercept is where the line contacts the Y-Axis (the vertical line)
Since the line is going down, the slope is going to be negative. You fine the slope by finding a point the line goes through perfectly and then since its negative, go down however many it is until the line goes through another point perfectly, then go right and how many points it takes to get to the point is your denominator. (so your slope is -4/3)
what would you use to measure the wieght of a block of cheese
Answers
Answer:
You can use a measuring cup to estimate how many ounces of cheese you have.
Step-by-step explanation:
For soft or crumbly cheeses, 1 cup is equivalent to 6 ounces. For semi-hard cheeses like cheddar, 1 cup is equivalent to 4 ounces.
In a certain chemical, the ratio of zinc to copper is 3 to 19. A jar of the chemical contains 494 grams of copper. How many grams of zinc does it contain?
enter your response here
It contains grams of zinc.
Answers
Answer:
3216 grams of Zn
Step-by-step explanation:
It is not clear from the question if the ratio is based on the chemical formula, and is thus the ratio of atoms, or if it is based on mass (in g). I'll assume it is based on the numbers of Zn and Cu atoms.
Let's convert the mass of copper, 494 grams, to moles of copper (representative of the number of atoms). The molar mass of copper, Cu, is 63.55 grams/mole.
Moles Cu =(494 grams)/(63.55 grams/mole) = 7.77 moles Cu
If zinc (Zn) is in a ratio of 19/3, we would have:
(19 moles Zn/3 moles Cu)*(7.77 moles Cu) = 49.2 moles of Zn
The molar mass of zinc is 65.38 grams/mole
The mass of 49.2 moles of Zn is:
(49.2 moles Zn)(65.38 grams/mole) = 3216 grams of Zn
A group of friends were working on a student film that had a budget of $640. They
spent all their budget on equipment and props. They used 15% of their budget on
props. How much
money did they spend on equipment?
Answers
15% was spent on props, rest on equipment 100 - 15 = 85% on equipment
.85 * 640 = $544 spent on equipment
Answer:
$544
Step-by-step explanation:
15% of 640
-----------------------
0.15 x 640
--------------
640 - 96
= 544
The function f(x) represents the time it takes an airplane to travel east. The function g(x) represents the time it takes an airplane to travel west. Given f(x) = 4x 13 and g(x) = 10x − 2, solve for (f g)(x) to determine the total roundtrip time. (f g)(x) = 14x 15 (f g)(x) = 14x 11 (f g)(x) = 6x 11 (f g)(x) = 6x 15.
Answers
The total time taken for round trip will be (f+g)(x) = 14x+11
We have given that
f(x)=4x+13and g(x)=10x-2
What is the round trip time?In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.
Therefore we get,
[tex](f+g)(x)=f(x)+g(x)\\ =(4x+13)(10x-3)\\ =4x+13+10x-2\\ =4x+10x+13-2\\ =14x+11[/tex]
Hence,The total time taken for round trip will be: (f+g)(x) = 14x+11
To learn more about the function visit:
https://brainly.com/question/25638609
Carol bought 360g of flour. 8.5 of it was lost when she transferred the flour to a container. what was the amount of flour lost?
Answers
Answer:
8.5g
Step-by-step explanation:
Find the area of the figure to the nearest tenth.
Answers
Answer: 31.3 square feet
Step-by-step explanation: