9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.
Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh
Find the perimeter of the following triangle.
Write your answer as a mixed number in simplest form.
Be sure to include the correct unit in your answer.
1/7/18 yd
5/12 yd
1/2/9 yd
Answer:
If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.
Step-by-step explanation:
1. First, you have to turn them all into an improper fraction.
1 7/18 becomes 25/18
1 2/9 becomes 11/9
5/12 remains the same as it's already an improper fraction.
2. Find a common denominator, which is 36
25/18 becomes 50/36
11/9 becomes 44/36
5/12 becomes 15/36
3. Add them all together and you get 109/36
4. Turn it into a mixed number, and in this case, is 3 1/36
Solution is 3 1/36
Answer:
3 1/36
Step-by-step explanation:
solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation
Step-by-step explanation:
hope it helps
see attached
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
please answer!
The expression 8x − 4 represents the
cost of 8 pairs of socks Emma bought,
less the $4 coupon she had. Which
property is applied to the expression to
write the equivalent expression
4(2x − 1)? Explain.
Answer:
Step-by-step explanation:
distributive property
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answer:
edf
Step-by-step explanation:
Simplify the following expression.
(3x−6)+(5x−5)
PLEASE I NEED HELP
Answer:
8x-11
Step-by-step explanation:
3x+5x=8x
-6+-5=-11
8x-11
Answer:
8x-11 hope nthisbelps sorry if im wrong
Step-by-step explanation:
Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?
Answer:
the can that costs 8.44 is a better buy
Step-by-step explanation:
Answer:
the 24 can pack
Step-by-step explanation:
2.85 x 4 = 11.4
$11.4 is more expensive than $8.44
9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)
Answer:
Area, A = 63.6 square yards
Step-by-step explanation:
A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.
Let the height of a trapezoid be h.
Let the top base of a trapezoid be b1.
Let the bottom base of a trapezoid be b2.
[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]
Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]
Given the following data;
Length, b1 = 5 yards
Width, b2 = 5.6 yards
Height, h = 12 yard
To find the area of geometrical shape (trapezoid), we would use the above formula;
A = 1/2 (b1 + b2) * h
Substituting into the formula, we have;
A = ½ * (5 + 5.6) * 12
A = ½ * (10.6)*12
A = 5.3 * 12
Area, A = 63.6 square yards
Please help, brainliest for correct answer
Answer:
10 10 and 20
Step-by-step explanation:
.......ur welcome........
United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different
production capacity (in tons per day) for each grade, as follows:
Mill
Aluminum
Grade 1 2
High 6 2
Medium 2 2
Low 4 10
The company has contracted with a manufacturing firm to supply at least 12 tons of high-grade aluminum, 8 tons of medium-grade aluminum, and 5
tons of low-grade aluminum. It costs United $6,000 per day to operate mill 1 and $7,000 per day to operate mill 2. The company wants to know the
number of days to operate each mill in order to meet the contract at the minimum cost.
Formulate a linear programming model for this problem.
Answer:
uh
Step-by-step explanation:
The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.
3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7
Use the data to fill in the box-and-whisker plot below.
Answer:
I'm not your Slave
Step-by-step explanation:
do it yourself
sinx dx+y[tex]sinx dx+y^{2} dy=0
Calculate the area of each shape below. Figures are not drawn to scale.
Answer:
The area of the triangle is 168 meters
Step-by-step explanation:
Formula to find the area of a triangle:
Area = 1/2 Base x Height
So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:
Area = 1/2 (16 + 8) x 14
Then, you solve:
Area = 1/2 (16 + 8) x 14
Area = 1/2 24 x 14
Area = 1/2 336
Area = 168 meters
So, the area of the triangle is 168 meters
In simplest form, what fraction of the figure is shaded?
2/3
3/4
5/6
7/8
2. Which fraction is equivalent to 3/9? *
1/4
1/3
2/5
1/2
2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x
Answer:
What is your question
Step-by-step explanation:
An algebraic expression that contains three terms is called
Answer:
Trinomial
Step-by-step explanation:
Traditionally, an expression consisting of 3 terms is called a Trinomial. For example : 3x + 4y -z, 5xy + 4yz + 4 ,a + b –c. And an expression consisting of more than 3 terms is called Polynomial.
hope this helps:)
Answer: An algebraic expression that contains three terms is called trinomial
Hope this helps!
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
X 6.4.7-T
Question Help
Assume that females have pulse rates that are normally distributed with a mean of j = 74.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below.
a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute.
The probability is
(Round to four decimal places as needed.)
Enter your answer in the answer box and then click Check Answer
2 parts
remaining
Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then
P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)
… = P(-0.32 < Z < 0.32)
… = P(Z < 0.32) - P(Z < -0.32)
… ≈ 0.6255 - 0.3745
… ≈ 0.2510
where Z is normally distributed with mean 0 and s.d. 1.
• • •
Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,
[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]
Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.
The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have
P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))
… = P(-1.6 < Z < 1.6)
… = P(Z < 1.6) - P(Z < -1.6)
… ≈ 0.9452 - 0.0548
… ≈ 0.8904
Plz help me by solving this problem and showing how you got it
Answer:
y =84
Step-by-step explanation:
25/100*Y = 21
100/25 * 25y/100 =21 *100/25
y = 2100/25
y = 84
PLEASE HELP 25 POINTS
The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.
Which answer correctly identifies the elevations of both points on the map?
Point X= 1500m, Point Z= 2000m
Point X= 1550m, Point Z= 1600m
Point X= 1600m, Point Z= 2050m
Point X= 2050m, Point Z= 1600m
Answer:Point X= 1600m, Point Z= 2050m
Step-by-step explanation:
whats the answer to this please
bubuoin ba ng salita yan
100Points! show work
Using angle sum property
[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]
[tex]\\ \sf\longmapsto x+43+143=180[/tex]
[tex]\\ \sf\longmapsto x+186=180[/tex]
[tex]\\ \sf\longmapsto x=180-186[/tex]
[tex]\\ \sf\longmapsto x=-6[/tex]
Option C is correct
Sum of angles of any triangle is 180°
x+43+73+70=180x+186=180x=180-186x=-6Option C
Find the side length of a square with an area of 1521 m².
Answer:
39
Step-by-step explanation:
a=A=1521=39
Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]
Answer:
x = (9√2)/2
Step-by-step explanation:
Reference angle = 45°
Hypotenuse length = 9
Adjacent length = x
Apply the trigonometric ratio CAH:
Cos 45° = Adj/Hyp
Cos 45° = x/9
Multiply both sides by 9
9*Cos 45 = x
9*1/√2 = x (cos 45 = 1/√2)
9/√2 = x
Rationalize
(9*√2)/2 = x
x = (9√2)/2
ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP
Answer:
128
Step-by-step explanation:
Do 10*8=80
8*6=38 48/2=24
80+24+24
104+24
128
Solve the equation. Check your solution.
30) x/4 = 9
Answer:
x = 36
Step-by-step explanation:
x/4 = 9
multiply both sides by 4
x/4 (4) = 9(4)
x = 36
The answer is x = 36
We can check by plugging in x = 36 to the original equation:
x/4 = 9
(36)/4 = 9
9 = 9
Correct
what would the circumference be of a circle if the radius is 14
Find the value of x in the parallelogram below.
Answer:
B) x = 12
Step-by-step explanation:
m∡EOU = m∡TQE
m∡EOU =180 - (39+45) = 96°
m∡TQE: 7x + 12 = 96
7x = 84
x = 12
What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers
Answer:
perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)
Step-by-step explanation:
Or use the formula P = 4a = 4(3) = 12 (cm)