Answer:
a. h = 60t − 4.9t²
b. 12.2 seconds
c. 183.7 meters
Step-by-step explanation:
a. Given:
y₀ = 0 m
v₀ = 60 m/s
a = -9.8 m/s²
y = y₀ + v₀ t + ½ at²
h = 0 m + (60 m/s) t + ½ (-9.8 m/s²) t²
h = 60t − 4.9t²
b. When the ball lands, h = 0.
0 = 60t − 4.9t²
0 = t (60 − 4.9t)
t = 0 or 12.2
The ball lands after 12.2 seconds.
c. The maximum height is at the vertex of the parabola.
t = -b / (2a)
t = -60 / (2 × -4.9)
t = 6.1 seconds
Alternatively, the maximum height is reached at half the time it takes to land.
t = 12.2 / 2
t = 6.1 seconds
After 6.1 seconds, the height reached is:
h = 60 (6.1) − 4.9 (6.1)²
h = 183.7 meters
Please hurry
Btw ty!!
Answer:
43
Step-by-step explanation:
just subract 60 and 17
Answer:
m=11
Step-by-step explanation:
Add 17 from 60
then divide 77 by 7
equals 11.
plz answer i suck at math :)
Answer:
4.08
Step-by-step explanation:
26.08 +(-6)²*(3.4-8.9)÷9
parenthesis first
26.08+36*(-5.5)÷9
then multiplication
26.08-198÷9
division
26.08-22
addition or subtraction
4.08
the answer is A) 4.08
Use the graph to fill in the blank with the correct number.
f(0)=________
Answer:
f(0) = 1
Step-by-step explanation:
The graph given to us shows that we have 2 values for y when x = 0. Since point (0, 0) is an open dot, it is not included in the function, meaning it is not usable. The other point, (0, 1), is a closed dot, so we can use that. Therefore, f(0) = 1.
give me right answer this time lol
Answer:
The answer is 50 degrees :)
Step-by-step explanation:
50 points
Tori, Alaina, Manuel, and Nelish each attempted to plot the point -1 1/5 on a number line
Who plotted the point correctly?
Answer:
see attached
Step-by-step explanation:
Answer:
tori
Step-by-step explanation:
Dustin loves to cook with fresh herbs. So, he decides to plant 8 different herbs and keep the small pots on his kitchen windowsill. He starts with a 4-pound bag of soil and puts the same amount of soil in each pot. If he uses all of the soil, how many ounces does he add to each pot?
Dustin need 8 ounces for each pot.
Given that Dustin is planting herbs, he starts with a 4-pound bag of soil and puts the same amount of soil in each pot.
We need to find how many ounces does he add to each pot.
So,
16 ounces = 1 pound.
Since, there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Dustin will plant.
We then divide 64 by 8, to find out the amount of oz per pot.
Hence Dustin need 8 ounces for each pot.
Learn more about unit conversion click;
https://brainly.com/question/28600662
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Ninety-five percent of all marigold flowers have a height between 10.9cm and 119.0cm and their height is normally distributed what’s the mean?
Answer: mean = 64.95
Step-by-step explanation:
According to the Empirical rule , 95% of the population lies with 2 standard deviations from the mean when data is normally distributed.
Given: 95% of all marigold flowers have a height between 10.9 cm and 119.0 cm.
If height is normally distributed , then
Mean - 2 standard deviation = 10.9 (i)
Mean + 2 standard deviation = 119.0 (ii)
Add (i) and (ii), we get
2 Mean = 10.9+119.0
⇒ 2 Mean = 129.9
⇒ Mean = 64.95 [divide both sides by 2]
So, mean = 64.95
What is the value of the expression 2x² – 5x + 6 when
x = -2?
Answer:
24 is correct answer
Step-by-step explanation:
[tex]2 {x}^{2} - 5x + 6 \\ = 2 {( - 2)}^{2} - 5 \times ( - 2) + 6 \\ = 2 \times 4 + 10 + 6 \\ = 8 + 10 + 6 \\ = 24[/tex]
hope it helped you:)
20 Points❤️
Use the diagram.
angle1 and angle2 are adjacent angles.
A. true
B. false
Answer:
true
Step-by-step explanation:
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
Find the values of y=-5x+22
what measurement is equivalent to 6 kilograms?
Answer:
6000 g
Step-by-step explanation:
In the metric system, 6 kg = 6000 g. (The prefix kilo- means 1000.)
__
In other units of measurement, 6 kg ≈ 13.2277357311 pounds. This is not an exact conversion.
Yukio says the scale from
Answer:
?
Step-by-step explanation:
Which table goes with the graph?
Answer:
3rd answer
Step-by-step explanation:
to find the lengths of AB, with endpoints A(-7,5) and B(4,-6), you can use the
Answer Distance Formula
The distance between points A and B or the length of segment AB is √242 units or 15.55 units.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The line segment is AB.
The endpoints of segment AB are A (-7, 5) and B (4, -6)
We can use the distance formula to find the distance between points A and B or the length of the segment AB.
[tex]\rm AB=\sqrt{(4+7)^2+(-6-5)^2}[/tex]
AB = √242 units
Or
AB = 15.55 units
A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center.
Thus, the distance between points A and B or the length of segment AB is √242 units or 15.55 units.
Learn more about the distance formula here:
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The quotient of 2.6 + -2.6 is
Answer:
you got it keep 4-6
Step-by-step explanation:
Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?
A. 0 with multiplicity 3, –3 with multiplicity 2, and –2 with multiplicity 1
B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1
C. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
D. 0 with multiplicity 3, –3 with multiplicity 1, and –6 with multiplicity 1
Answer:
B. 0 with multiplicity 3, 3 with multiplicity 2, and 2 with multiplicity 1
Step-by-step explanation:
Took a test
Factoring and solving the equation, it is found that the zeroes are:
B. 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.
The function is:
[tex]f(x) = -x^5 + 9x^4 - 18x^3[/tex]
Simplifying by [tex]-x^3[/tex]:
[tex]f(x) = -x^3(x^2 - 9x + 18)[/tex]
The zeroes are the values of x for which:
[tex]f(x) = 0[/tex]
[tex]-x^3 = 0 \rightarrow x = 0[/tex]
0 has multiplicity 3.
And:
[tex]x^2 - 9x + 18 = 0[/tex]
Quadratic equation with [tex]a = 1, b = -9, c = 18[/tex].
[tex]\Delta = (-9)^{2} - 4(1)(18) = 9[/tex]
[tex]x_{1} = \frac{-(-9) + \sqrt{9}}{2(1)} = 6[/tex]
[tex]x_{2} = \frac{-(-9) - \sqrt{9}}{2(1)} = 3[/tex]
6 and 3 with multiplicity 1, thus option B.
A similar problem is given at https://brainly.com/question/19776811
Eighteen divided by sum of two and seven
(This is algebra 1)
Answer: (^-^) 2
Step-by-step explanation:
2+7 is 9 you divided 18 by 9 which it is 2
Tommy pays $550 dollars for a new cell phone plus $121-dollar monthly fee (1) for data. Write an
expression for the total expense of his phone.
Answer:
C=550+121m
Step-by-step explanation:
M equals the number of months while C equals the cost
what is 2/4 + 6/8 + 2/4 + 15/24 + 7/8
Answer:
13/4
Step-by-step explanation:
I have been trying to figure this out but I don't understand
Answer:
Step-by-step explanation:
When the x is -3, this is the equation. y = |-3| - 5.
The absolute value of -3, |-3| is 3 because that is how far away it is from 0.
So our equation is now this: y = 3-5. 3 - 5 is -2, so
y = -2
Let's do another one.
y = |1| - 5
The absolute value of 1, |1| is still 1 because that is how far away from 0 it is.
Our equation is now this. y = 1 - 5. 1 - 5 is -4, so
y = -4
Hope this helps!
In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?
Answer:
y=4x+30
In 7 months, the total cost will be $58.
Step-by-step explanation:
Since the monthly fee is 4, it's going to be the constant, or the slope. And 30 is a one time fee, so it's the y-intercept.
How many Months?
58-30=28
28/4=7
So in 7 months.
Answer:
7 months
Step-by-step explanation:
y =4x + 30
58 = 4x + 30
28 = 4x
x = 7
it will take 7 months.
g(x) = -3x + 2 with domain (-1, 2]
Answer:
all real numbers
Step-by-step explanation:
There are no radicals or fractions involved, so the domain is
What are the coordinates of P?
Identify the type of function that models the situation below: The cost of mailing a letter is $0.37 for the first ounce and $0.23 for each additional ounce or portion thereof. a. greatest integer function b. step function c. absolute value function
Answer: Option a.
Step-by-step explanation:
The data is:
The cost of mailing a letter is $0.37 for the first ounce.
$0.23 for each additional ounce or portion.
Then if we define the variable n, as the number of additional ounces, we can write this as:
F(n) = $0.37 + n*$0.27
This seems to be a linear relationship, but n only can take whole numbers, this means that if n is equal to 0.37, we should round it up (because we already have more than only one ounce).
Then we round up all the non-integers to the next integer.
for example, we round 1.45 to 2 and 1.876 to 2.
This means that F (1.45) = F(1.876) = F(2) = $0.37 + 2*$0.27
This is called a greastet integer function. then the correct option is a.
Answer:
Its B. Step Function, I just turned it in.
Step-by-step explanation:
Edge. 2020-21
My picture won’t upload. Can someone contact me on any social media, please! ASAP!
Answer:
try it again and it might work
Step-by-step explanation:
that happened to me I just did it again and it worked
0.00037 in scientiific notation
Answer:
37x10^-4
Step-by-step explanation:
What are the coordinates of the midpoint of the line segment with endpoints J (-6, 3) and K (4, -2)
A: (-10, 1)
B: (-2, 5)
C: (-1, .5)
D: (2, 1)
Victor is saving for a used car that costs $8,000. He plans to save $500 every month. Calculate how long it would take him to save to buy the car?
Answer: It will take Victor 16 months.
Step-by-step explanation:
He is saving for a used care which coast $8000 and saving $500 per month and we can represent that by the equation 500x = 8000 where x is the number of months.
500x = 8000 solve for x by dividing both sides by 500
x = 16
Answer:
18 months
Step-by-step explanation:
8000 divided by 500 = 18
Simplify: xyxy 27-4-8-3-8 + 1
...............................................
Answer:
1. 4x+3y+9
2. coeffiecent
variable
constant
3.
a.unlike
b.like
c.unlike
4.x=6
5. x=-12
Step-by-step explanation:
