The answer choices are 11 1 2.48 6
Answer:
The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]
Now factor out the coefficient of the quadratic term:
[tex]h(t)=-5(t^2 -2t) + 6[/tex]
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]
Now take the balancing term out of the parenthesis:
[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]
Simplify:
[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
[tex](1, 11)[/tex]
4x−4<8 AND9x+5>23 thank u for your help
Answer:
x < 3 AND x > 2
Step-by-step explanation:
4x − 4 < 8
4x < 8 + 4
4x < 12
x < 3
9x + 5 > 23
9x > 23 - 5
9x > 18
x > 2
What is the equation of the midline of the graph of y=2cos(x/4)−3
Answer:
y = -3
Step-by-step explanation:
y=2cos(x/4)−3
range of cos α : -1 ≤ cos α ≤ 1
-2 ≤ 2cos(x/4) ≤ 2
-5 ≤ 2cos(x/4)−3 ≤ -1 (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)
midline: midline of y = -1 and y = -5 y = -3
Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!
Answer:
54 - 14 = 30
Step-by-step explanation:
Please help I’m struggling
what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.
10 minutes to answer
Write an expression equivalent to
4 - (-7)
help
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation
Answer:
It would take 6 hours.
An equation for that could be: 50x = 300 (X is how long it would take)
So 50 mph• X (time spent) = 300 miles
You didn't give me any scatterplots to look at so I can't help you with that sorry
Is 17/34 and 32/64 proportional why or why not?
Answer:
Yes
Step-by-step explanation:
Both equals to 1/2
That's the answer
What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]
Answer:
[tex]Fracton = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The fraction of yellow
From the attached image:
[tex]Yellow = 5[/tex]
[tex]Total = 30[/tex]
So, the fraction is:
[tex]Fracton = \frac{Yellow}{Total}[/tex]
[tex]Fracton = \frac{5}{30}[/tex]
Divide by 5/5
[tex]Fracton = \frac{1}{6}[/tex]
Answer: 4/5
Step-by-step explanation:
help me pleaseeeeeeeeee
Answer:
The diameter is related because it helps find the circumference.
What is the formula for total surface area of
cylinders?
Thanks in advance
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
Step-by-step explanation:
Write an equation of the line in slope-intercept form. (0,2) (3,3)
i dont see an image
Step-by-step explanation:
Answer: y = 1/3x +2
Step-by-step explanation:
The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
We have the two points you entered, so let's start by getting the slope. (1/3)
Now that we have the slope, we can plug it into our equation: y = 1/3x+b
To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2
Hope it helps.
The points (-7, -1) and (r, 1) lie on a line with slope 1/4
Find the missing coordinater.
r =
Answer:
r = 1
Step-by-step explanation:
Find the missing x-coordinate r.
Use the point-slope formula y - k = m(x - h). We are given the point (-7, -1) on the line and the slope of the line 1/4, and so this general formula becomes
y + 1 = (1/4)(x + 7)
Now substitute the coordinates of the other point (r, 1) to solve for r:
1 + 1 = (1/4)(r + 7)
Multiplying both sides by 4 eliminates the fractional coefficient:
8 = r + 7
It is readily apparent that r must be 1.
Check: If r = 1, then (r, 1) becomes (1, 1). use the point-slope formula again, this time to see if we are correctly predicting the r value 1:
y + 1 = (1/4)(x + 7) becomes 1 + 1 = (1/4)(r + 7), or
2 = (1/4)(r + 7). Multiplying both sides by 4, we get 8 = r + 7, and so r = 1.
PLEASE HELP!
Hello! I'm having a lot of trouble figuring out these problems. I'm not asking for all of the answers but, just a better understanding. Thank you!
Answer:
1) 4
2)I think 2
3)4
4)3
5)2
6)1
7)3
Step-by-step explanation:
1) since the x is to squared it is a quadratic equation
3) A and D have same slope=0.5
others were solved using Excel
1. Given the tax table below, write a piecewise function to represent the situation. Let x equal the taxable income and T) equal the income tax. Sample Income Tax Table Tax rate Taxable income reported Over Not over 15% $0 $32,450 28% $32,450 $78,400 33% $78,400 $155,800 38% $155,800
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
Answer this question to get marked as brainliest!!!!!
Answer:
A) 80 degrees
Step-by-step explanation:
100-20=80
Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture
Answer:
y = 2x - 6
Step-by-step explanation:
14-6/10-6 = 8/4 = 2 = slope
6 = 2(6) + b
6 = 12 + b
b = -6
simplify (2x+1)(x+8) - (x-3)(2x+1)
Answer:
22x+11 is your answer
Step-by-step explanation:
(2x+1)(x+8) - (x-3)(2x+1)
(2x+1)(x+8-x+3)
(2x+1)(11)
=22x+11
Find the missing sides of each triangle. Leave your answers in radical form
Answer:
youbhave give me more information.
Answer:
incomplete question
please write the whole question or diagram of the question
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answer:
Your roots are equal to 16
(8.64 × 10^6) × (1.334 × 10^10)
Answer:
8.64x1.334x10^16
11.52576x10^16
plzz right aanswer only plzz 10!! ponits
Answer:
its 5
Step-by-step explanation:
Answer:
50.24
Step-by-step explanation:
7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?
Answer: 21ft
Step-by-step explanation:
Answer:
the area of triangle is height ×base
6×7=42
i think this is the answer
1.What is the principal which would amount to $6 900 in 3 years at 5% simple interest per annum?Required to answer. Single choice.
(1 Point)
a.) $6 885
b.) $6 555
c.) $6 000
d.) $5 865
Answer:
c
Step-by-step explanation:
I just looked up the question
PLEASE HELP FAST !!
3/2+19/3
Answer:
28/6 yeah thats right wasp
Answer:
Step-by-step explanation: