Answer:
The maximum height is: [tex]h(t_{max})=14.39 \: u[/tex]
The ball reaches the ground in 1.79 s.
Step-by-step explanation:
We need to take the derivative and equal to zero to find the time at the maximum height.
[tex]h(t)=-16t^{2} +27t+3[/tex] (1)
[tex]\frac{dh(t)}{dt}=-32t +27=0[/tex]
[tex]t_{max} =\frac{27}{32}[/tex]
[tex]t_{max} =0.84\: u[/tex]
Now, we just need to put t(max) into equation (1) to find h(max)
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=-16(0.84)^{2} +27(0.84)+3[/tex]
[tex]h(t_{max})=14.39 \u[/tex]
If we want to get the time when the ball reaches the ground we just need to equal h(t) to zero.
[tex]0=-16t^{2} +27t+3[/tex]
Let's solve this quadratic equation.
We will get two solutions and we must choose the positive value.
t1 = 1.79 u
t2 = -0.10 u
Therefore, the ball reaches the ground in 1.79 u.
I hope it helps you!
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees because they spread too quickly. However, the people in my neighborhood like the trees. The commission argues that their new eucalyptus tree removal plan will cut down so few eucalyptus trees that 98% of the trees in our neighborhood will be eucalyptus trees. If the plan only involves removing eucalyptus trees, what percent of the existing trees in my neighborhood would the plan remove
Answer:
50%
Step-by-step explanation:
Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.
Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.
Therefore
0.99E+0.99O=E
0.01E=0.99O
E=99O.
Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.
Then we would have E−x(E−x)+O=0.98.
Therefore,
0.02(E−x)=0.98O
0.02E−0.02x=0.98O
0.02x=0.02E−0.98O
x=E−50(0.98)O
x=E−49O
x=E−49(E99)
x=5099E≈0.505050...×E.
So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.
Please answer this math question for me
Answer:
Hello!! answer: a = 45
Step-by-step explanation:
This is a complimentary angle so we will just do 90 - 45 and get 45 because 45 + 45 = 90 Hope that helps!
Answer:
a = 45
Step-by-step explanation:
The total angle of the shape is 90°
That means you should subtract 90° from 45°
90 - 45 = 45
That's your answer!
Hope this helped :)
A phone case, which originally
costs $14.50, is on sale for 32% off.
What is the cost of the phone case
after the discount? ?
May I have help to figure out how to do this? It is confusing! :(
Answer:
it should be 80%
Step-by-step explanation:
I hope this helps
I NEED HELP WITH THIS RIGHT NOW!!
Kurt is training to run in a race. He recorded the distances and times of his trainings runs last week. On which day was the ratio of time to distance the greatest?
Answer:
c
Step-by-step explanation:
just derived everyone
The radius of a circle is 12 feet. What is the circle's area?
r=12 ft
Use 3.14 for .
square feet
Submit
Answer:
452.16 ft²
Step-by-step explanation:
Area = πr² = π(12)² = 144π = 452.16 ft²
What is the equation of the following line? Be sure to scroll down first to see
all answer options
Answer:
y= -4x
Step-by-step explanation:
What is the LCM of 4 and 8
Answer:
8
Step-by-step explanation:
Let me make a table for you.
4,8,
8,
8 would be your answer.
Let me know if i can help you more!
How do you solve 12*0.2^8=x ?
Answer:
[tex]x = 3.072 * 10^{-5}[/tex]
Step-by-step explanation:
[tex]x = 12*0.2^8[/tex]
[tex]x = 12 * 2.56E-6 = 0.00000256[/tex]
[tex]x = 3.072E-5 = 0.00003072[/tex]
х
-
The table shows a proportional relationship between x and y. Which is k, the constant
of proportionality, such that y = kx?
у. x
0 0
3. 5
6. 10
9 15
12 20
Answer:C 3/5
Step-by-step explanation: the answer is not as seen on everyone’s lesson but I did the math
Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?
X+2y=0
12y= -6x
Plzzz this is due 11:59
Answer:1. X+2y=0 answer:−2y 2. 12y= -6x answer:x=−2y
Step-by-step explanation:
1121 help44445555 ty
Answer:
B
Step-by-step explanation:
PLZZ HELP
2/3 divided by 5
Answer:
2/15
Step-by-step explanation:
2/3 divided 5 is really just:
2/3*1/5
that is just 2/15!
Answer:
2/15
Step-by-step explanation:
(Keep Change Flip) KCF
2/3 / 5 =
2/3 *1/5 = 2/15
When dividing you do the opposite which is multiplication.
What is the total area of the figure below?
Which one is an example of an expression?
Answer:
Step-by-step explanation:
5x+5
Answer:
the first option will the correct answer
Jenna ordered four pizzas for $8.55 each, including tax. If she wanted to give a
15% tip, what would her total bill be?
Given:
Cost of each pizza including tax = $8.55
Number of pizzas = 4
Tip = 15%
To find:
Her total bill.
Solution:
We have,
Cost of 1 pizza including tax = $8.55
Cost of 4 pizza including tax = [tex]4\times \$8.55[/tex]
= [tex]\$34.2[/tex]
It is given that she wanted to give a 15% tip. So, tip is 15% of $34.2.
[tex]\dfrac{15}{100}\times \$34.2=\$5.13[/tex]
Thus, the amount of tip is $5.13.
Now the total amount of bill is:
[tex]\text{Total amount of bill}=\text{Cost including tax}+\text{Tip}[/tex]
[tex]\text{Total amount of bill}=\$34.2+\$5.13[/tex]
[tex]\text{Total amount of bill}=\$39.33[/tex]
Therefore, the total amount of bill is $39.33.
Someone please help me!!!
help me please this is super hard for me
Answer:
D
Step-by-step explanation:
Answer:
Answer is D I believe
Step-by-step explanation:
shows all of the possible outcomes
Estimate the line of best fit using two points on the line.
(5, 60)
(3, 44)
O A. y= 5x + 20
O B. y = -5x + 16
O C. y= -8x + 16
D. y = 8x+ 20
The estimated equation of line is y = 8x+ 20
What is linear equation?
A linear equation is defined as an equation in which the highest power of the variable is always one.
Two points on the line (5, 60), (3, 44)
[tex]y- y_1= \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y- 60 = \frac{60-44}{5-3} (x-5)[/tex]
[tex]y- 60 = \frac{16}{2} (x-5)[/tex]
[tex]y = 8 (x-5)+ 60[/tex]
[tex]y = 8x+ 20[/tex]
Hence, the estimated equation of line is y = 8x+ 20
Learn more about equation of line
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The length of a rectangle is 5 inches and the width is 7 inches. What is the area of
the rectangle?
Answer:
35 inches
L×W=A
length×width=area
Answer:
35
Step-by-step explanation:
A = wl
7 x 5 = 35
Mark as Brainliest
Please help it’s geometry will mark brainliest!
Answer:
its 216
Step-by-step explanation:
when it's one the edge the arc is double the angle
Solve for the value of a in the triangle below. Round your answer to the nearest tenth
Answer:
........................
Jose has 200 baseball cards. He has the Topps brand which he paid $1.50 each, Upper Deck Company brand which he paid $5.75 each, and Panini Group brand which he paid $2.60 each. He has 20 fewer Upper Deck Company brand than Panini Group brand. The total amount he spent was $589.50. How many of each brand of baseball cards does he have?
Answer:
Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Step-by-step explanation:
Given that Jose has 200 baseball cards, and he has the Topps brand which I have paid $ 1.50 each, Upper Deck Company brand which I have paid $ 5.75 each, and Panini Group brand which I have paid $ 2.60 each, and he has 20 fewer Upper Deck Company brand than Panini Group brand, and the total amount he spent was $ 589.50, to determine how many of each brand of baseball cards does he have, the following calculation must be performed:
100 Panini + 80 Upper Deck + 20 Topps = X
100 x 2.6 + 80 x 5.75 + 20 x 20 x 1.5 = X
260 + 460 + 30 = X
X = 750
80 Panini + 60 Upper Deck + 60 Topps = X
80 x 2.6 + 60 x 5.75 + 60 x 1.5 = X
208 + 345 + 90 = X
X = 643
60 Panini + 40 Upper Deck + 100 Topps = X
60 x 2.6 + 40 x 5.75 + 100 x 1.5 = X
156 + 230 + 150 = X
X = 536
70 Panini + 50 Upper Deck + 80 Topps = X
70 x 2.6 + 50 x 5.75 + 80 x 1.5 = X
182 + 287.5 + 120 = X
X = 589.5
Therefore, Jose has 70 Panini, 50 Upper Deck, and 80 Topps cards.
Charles says that the number line shows all the values that make the inequality
n2-1 true. Do you agree with Charles? Explain.
4 5
-3 -2 -1
0 1 2 3
Answer:
no
Step-by-step explanation:
n ≥ - 1
The inequality states that n is greater than or equal to - 1
To show the equal part on the number line the point at - 1 must be a solid circle, not an open one
No, the given number line does not represent the number line shown by Charles.
What is a number line?A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
The inequality is given by Charles,
n ≥ -1
But in the given number line, the value of n is not defined as 1, but Charles inequality consists of the value of n = 1, so the given number line does not represent the number line shown by Charles.
Thus, the given number line does not represent the number line shown by Charles.
Learn more about number line here:
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i need help plz :( i don’t understand
hello please help i’ll give brainliest
Answer:
landslide
Step-by-step explanation:
MARK AS BRAINLEST!!!
Answer:
earthquake okkkkkkkkkkkkk
Triangle Review 2.0 (Math i need help please)
Answer:
A= 30
Step-by-step explanation:
This requires several steps.
First, you need to find the 2 other missing angles.
One can be found easily by substracting 130 from 180
so 180-130 = 50
The other angle is the same as 8x+4
Now set up your equation
180=3x-6 + 8x+4 +50
180 = 3x + 8x -6 + 4 +50
180+6-4-50 = 11x
132 = 11x
132/11 = x
12 = x
Now plug in 12 for x in your angle A
A=3x-6
A=3 * 12 - 6
A=36 - 6
A= 30
What percent of the dogs and cats sold were dogs? a 70% b 22% c 55% d 45%
Answer:
im going to say c 55%
Step-by-step explanation: please let me know if its wrong so i can fix it thanks
O is the center of the circle. Assume that lines that appear to be tangent are tangent. What is the value of x?
Answer:
x=48
Step-by-step explanation: