Answer:0.51 I just took the test
Step-by-step explanation:
A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.
θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).
Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.
To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:
[tex]y = (v_0sin \theta)t - 16t^2[/tex]
Therefore, the parametric equations for the path of the projectile are:
[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]
Substituting θ = 40∘ and v0 = 128 feet per second, we get:
[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]
To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:
t = -b/2a
where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:
t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)
The maximum height can be found by substituting this value of t into the equation for y:
y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)
Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.
To find the horizontal distance at this point, we can substitute the value of t into the equation for x:
x = (128 cos 40∘)(2.3) = 172.8 feet (approx)
Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.
To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:
[tex]0 = (128 sin 40)t - 16t^2[/tex]
Solving for t using the quadratic formula, we get:
t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)
Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.
To know more about equation visit:
brainly.com/question/649785
#SPJ1
Which expression is equivalent to (5x + 2) + (4x - 3)?
A.6x+2
B.7x+1
C.9x-1
D.11x-3
E.20x-6
Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by
X+ 5 is 149. Is Kayla correct? Explain.
A) None of the above is correct.
B) No, Kayla is not correct, because the remainder is 49. not 149.
C) No, Kayla is not correct, because the remainder is - 49 rot 149.
D) Yes, Kayla is correct, because the remainder is 149.
9514 1404 393
Answer:
C) No, Kayla is not correct, because the remainder is -49 not 149
Step-by-step explanation:
The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.
Evaluation is often easier when the function is written in Horner form.
((x +2)x -4)x +6
For x=-5, this is ...
((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49
Kayla is not correct; the remainder is -49.
In Olongapo City, a bump car ride costs
Php 120 per person for the first 30 minutes
and Php 10.00 for every additional 10
minutes. If you spend Php 270.00 for a ride,
how long did you ride?
or the figure shown on the right, find m∠3 and m∠4.
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
Learn more about the supplementary angle visit:
https://brainly.com/question/17706490
#SPJ2
What growth factor would be needed to provide 1/12th of 12% interest each month
1.01 is the growth factor that would be needed to provide 1/12th of 12% interest each month.
What are exponential growth and decay?A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.
Given, the growth factor would be needed to provide 1/12th of 12% interest each month
Remember the formulas:
Increasing: y = a (1 + r)ˣ
Decreasing: y = a(1 - r)ˣ
(1 ± r is the growth factor, while r is the growth rate)
In our case,
since it is an interest It will show the growth rate
Growth rate = 12% of 1/12
Growth rate = 1%
Growth rate = 0.01
Thus,
Growth factor = 1 + r
Growth factor = 1 + 0.01
Growth factor = 1.01
Therefore, The growth factor will be 1.01.
Learn more about exponential growth and decay here:
https://brainly.com/question/17161065
#SPJ2
A class consists of 20 sophomores and 15 freshmen. The club needs to choose four different members to be president, vice president, secretary, and treasurer. In how many ways is this possible if sophomores will be chosen as president and treasurer and freshmen as vice president and secretary?
Please explain your answer instead of just providing the answer for the points!
Answer:
There are 79,800 ways in which this is possible.
Step-by-step explanation:
The order in which the students are chosen is important(due to different roles), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 sophomores from a set of 20.
2 freshmen from a set of 15. So
[tex]P_{20,2}*P_{15,2} = \frac{20!}{18!}*\frac{15!}{13!} = 20*19*15*14 = 79800[/tex]
There are 79,800 ways in which this is possible.
Two years ago, there were 30 foxes in a forest. this year, there are 40 foxes in the forest. what is the annual percent growth for the foxes?
9514 1404 393
Answer:
about 15.5%
Step-by-step explanation:
The number of foxes in the forest can be modeled by the exponential equation ...
f = a·b^t
where a is the initial number, and b is the growth factor per year for t years. The growth factor is 1 more than the growth rate (r), so we can put numbers in this formula to get ...
40 = 30·(1 +r)^2
4/3 = (1 +r)^2 . . . . . . divide by 30
1 +r = √(4/3) . . . . . . take the square root
r = √(4/3) -1 ≈ 0.1547 ≈ 15.5%
The annual percentage growth in the fox population is about 15.5%.
Select the correct answer from the drop-down menu.
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the tabl
Size
Shirt Color
Large Medium Total
Red
42
48
90
Blue
35
40
75
Total
77
88
165
From the data given in the table, we can infer that
Answer:
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = P( blue shirt)
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt ) ≠ P( red shirt)
Explanation:
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
P( Blue shirt | large shirt ) = P( blue shirt). Therefore, option B is the correct answer.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
Therefore, option B is the correct answer.
Learn more about the data table here:
brainly.com/question/12918406.
#SPJ7
"Your question is incomplete, probably the complete question/missing part is:"
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. (See attached image for choices) box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table Size Shirt Color Large Medium Total Red 42 48 90 Blue Total 35 40 75 88 165 77 From the data given in the table, we can infer that
P(red shirt | large shirt) =P(large shirt)
P(blue shirt | large shirt) = P(blue shirt)
P(shirt is medium and blue) = P(medium shirt)
P(large shirt red shirt) = P(red shirt)'
given the radian measure of angle KJH is 11π/8 find the measure in degrees. NO LINKS
A. 114.54
B. 245.4
C. 114.54π
D. 245.5π
E. 128
9514 1404 393
Answer:
maybe B . . . it is the closest
Step-by-step explanation:
There are 180/π degrees in a radian.
__
11π/8 radians = (11π/8)(180°/π) = (11/8)(180°) = 247.5°
Gail bought 7/8 pound of cheese and Jose bought 1/3 pound of cheese. How much more cheese did Gail buy than Jose?
Answer:
7/8 * 3 = 21/24
1/3 * 8 = 8/24
21-8 = 13
Gail bought 13/24 pound more than Jose
Long before music was recorded digitally, people listened to music played on phonographs.
An antiques dealer models the value of a vintage phonograph using the function V(t) =
0.04t? - 3t + 395, where V(t) is the value in dollars and t is the number of years since 1925.
The phonograph's value dropped as newer versions were introduced but then rose as it
became an antique.
In what year did the phonograph's value equal the value it had in the year 1925? What was
that value?
Round your answers to the nearest whole number.
The phonograph was worth $
value again in the year
in the year 1925. The phonograph had that same
Answer: 395 and 2000
Step-by-step explanation:
It’s correct that’s all you need to know
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answer:
model B is shaded to represent 37.5%
here,
=3÷8×100%
=37.5%
Only answer if you’re sure, will give Brainly :) thank you
Math! Please help marking brainliest if it's correct and Explain
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
Plz like and brainly :D
Hope this helps
Which inequality represents all possible solutions of -6n < -12
Answer:
The only solutions would be that the numbers HAVE to be greater than 2
Step-by-step explanation:
-6n < -12
-n < -2
n > 2
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark ( / ) for the fraction bar.
(4,0) (12,0)
Given:
The end points of a line segment are (4,0) and (12,0).
To find:
The midpoint of the line segment.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The end points of a line segment are (4,0) and (12,0). So, the midpoint of the line segment is:
[tex]Midpoint=\left(\dfrac{4+12}{2},\dfrac{0+0}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{16}{2},\dfrac{0}{2}\right)[/tex]
[tex]Midpoint=\left(8,0\right)[/tex]
Therefore, the midpoint of the given line segment is (8,0).
ALL IM ASKING FOR IS HELP JUST BE TRY TO HELp ME
Answer:
36
Step-by-step explanation:
Mrk me brainliest plzzzzz
NEED The FULL equation. Will give Brainly. Thank you!
Answer:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
Step-by-step explanation:
we are given a function
[tex] \displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8} [/tex]
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8} [/tex]
by order of PEMDAS
simplify square:
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8} [/tex]
simplify multiplication:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8} [/tex]
simplify addition:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12} [/tex]
simplify subtraction:
[tex] \displaystyle \sf h( - 1) = \frac{ - 8}{12} [/tex]
reduce fraction:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
Find the value of the missing sides URGENT I NEED HELP QUICK PLSSS
Answer:
B) x=5√3 y=5
Step-by-step explanation:
It’s a 30-60-90 triangle, so
B) x=5√3 y=5
A barista in a coffee shop is preparing a customer's order using a cylindrical cup. The cup has a diameter of 9.5
centimeters, and the height of the cup is 3 times its radius. The cup is to be filled completely with coffee.
Rounded to the nearest hundredth of a cubic centimeter, how much coffee can the cup hold it filled completely?
425.08
1.009.56
2,019.12
03.028.68
4,038.24
Answer:
i believe the answer is 03.028.68
Step-by-step explanation:
hope this helps
Evaluate 3y^2-5y-6 when y =2
Answer:
the answer would be -4
Step-by-step explanation:
just replace the variable y with two in the expression and solve
3(2)^2-5*2-6
According to a survey, approximately 64% of people in the United States think that the nation's water supply is safe to drink. A town has 625 people. What is the probability that 376 or more people think that the nation's water supply is safe to drink? A. 0.50 B. 0.975 C. 0.16 D. 0.84
[tex]y=-2/3x + 1[/tex]
7th grade stuff for fun Pemdas ;)
im pretty sure the answer is 16
Step-by-step explanation:
the drinks are 10
, burgers are 5 and each of the fries are 1. Since there is one of each, it will be like this 10+5+1
Answer:
soda = 10
burger = 5
fri = 2
5 + 2 x 10 = 25
Step-by-step explanation: its 25 cuz its 25
I need the answer fast I am in schoool pls
Answer:
288
Step-by-step explanation:
To solve, we need to find the area of the four triangle sides and add that to the square base's area.
Area of triangle sides: base * height * 0.5
Area of square base: base * height
Substitute the values
8 * 14 * 0.5 = 56
There are four of these sides, so the area of all the triangles is 224.
The square base is 8 * 8, or 64
Add these two values together.
64 + 224 = 288
Thus, the answer is 288
how to construct 75°
answer:
in order to construct 75°, you need to use a protractor and a compass
step-by-step explanation:
here is a step-by-step explanation from an online source
step 1: draw a line segment with endpoint O and Astep 2: draw an arc with O as centre cutting the line segment OA at point B with a compassstep 3: keeping the radius same, draw an arc with B as centre cutting the arc at Cstep 4: keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at Dstep 5: with any radius, draw two arcs with C and D as a center. intersect these two arcs at Estep 6: join OE. angle EOA is the angle with measurement of 90 degreesstep 7: now the line OE intersect the arc at the point Fstep 8: taking F and C as a center, make an arc with a radius of more than half of the measurement FC. the arc intersects at point Hstep 9: join the point H and O. angle HOA is the angle obtained of measurement 75 degreesstep 10: angle HOA is the desired angleConstruct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.
Find the volume of a hexagonal pyramid with a base area of 50 ft ^2 and height of 6 ft
Answer:
V=100ft³
Step-by-step explanation:
PLS HELP:)
Solve 2x - 5 = 7
Answer:
6
Step-by-step explanation:
2x-5=7
add 5 on both sides:
2x-5+5=7+5
2x=12
divide both sides by 2
2x/2=12/2
x=6
Answer:
6
Step-by-step explanation:
2−5=72x-5=7
2x−5=72−5+5=7+5
76 m =
cm?????? Pls help I cant figure it out!!!
Answer:
7600
Step-by-step explanation:
Because it is just x 100