Question:
A fastball is hit straight up over home plate. The ball's height, h (in feet), from the ground is modeled by h(t)=-16t^2+80t+5, where t is measured in seconds. Write an equation to determine how long it will take for the ball to reach the ground.
Answer:
[tex]t = 5.0625[/tex]
Step-by-step explanation:
Given
[tex]h(t)=-16t^2+80t+5[/tex]
Required
Find t when the ball hits the ground
This implies that h(t) = 0
So, we have:
[tex]0=-16t^2+80t+5[/tex]
Reorder
[tex]-16t^2+80t+5 = 0[/tex]
Using quadratic formula, we have:
[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]
Where
[tex]a = -16[/tex] [tex]b =80[/tex] [tex]c = 5[/tex]
So, we have:
[tex]t = \frac{-80\±\sqrt{80^2 - 4*-16*5}}{2*-16}[/tex]
[tex]t = \frac{-80\±\sqrt{6400 +320}}{-32}[/tex]
[tex]t = \frac{-80\±\sqrt{6720}}{-32}[/tex]
[tex]t = \frac{-80\±82.0}{-32}[/tex]
This gives:
[tex]t = \frac{-80+82.0}{-32}[/tex] or [tex]t = \frac{-80-82.0}{-32}[/tex]
[tex]t = \frac{2}{-32}[/tex] or [tex]t = \frac{-162}{-32}[/tex]
[tex]t = -\frac{2}{32}[/tex] or [tex]t = \frac{162}{32}[/tex]
But time can not be negative.
So, we have:
[tex]t = \frac{162}{32}[/tex]
[tex]t = 5.0625[/tex]
Hence, time to hit the ground is 5.0625 seconds
Small 20 caps $180.00
Medium 32 caps $270.00
Large 50 caps $360.00
The chart shows the price of baseball caps for different pack sizes. Coach Lewis will buy the medium size pack of caps. About how much will each cap cost? Write an equation to model the problem.
10 + 5 + 5 ( 10 + 10 )
Answer:
The answer is 115 you do parentheses first and multiply 5 by the number in the parentheses and then add
Step-by-step explanation:
Which two elements are most likely to have similar physical properties?
A. copper and zinc
B. copper and silver
C. cadmium and indium
D. gallium and cadmium
Answer:
b
Step-by-step explanation:
PLS HELP I BEG YOU ASAP! PLS Answer this! I only have 5 minutes PLS I BEG U!!!! I also the the price of each notebook hint:find the value of X
Answer: 2x+4=10
Step-by-step explanation:
because each notebook would cost $3 so 2 x 3 = 6 +4=10
Answer:
first
2x + 4 = 10
2x+4=10
2x+4=10
Solve
1
Subtract
4
4
4
from both sides of the equation
2
+
4
=
1
0
2x+4=10
2x+4=10
2
+
4
−
4
=
1
0
−
4
2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}
2x+4−4=10−4
2
Simplify
Subtract the numbers
Subtract the numbers
2
=
6
2x=6
2x=6
3
Divide both sides of the equation by the same term
2
=
6
2x=6
2x=6
2
2
=
6
2
\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}
22x=26
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
3
x=3
x=3
Solution
=
3
Second one
6 = 10
2
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
5
3
x=\frac{5}{3}
x=35
Solution = 5/3
i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way
Help needed asap
If 0
Answer:
umm... i need a problem or anything bud
Step-by-step explanation:
In a survey of 10 musicians, 2 were found to be left-handed. Is it practical to construct the
90% confidence interval for the population proportion, p?
Answer:
-0.0081<p<0.4081
Step-by-step explanation:
Using the formula for calculating the confidence interval expressed as;
CI = p±z√p(1-p)/n
p is the proportion = x/n
n is the sample size
x is the amount that are left-handed
p = 2/10
p = 0.2
z is the z score at 90% CI = 1.645
Substitute the values into the formula;
CI = 0.2±1.645√0.2(1-0.2)/10
CI = 0.2±1.645√0.2(0.8)/10
CI = 0.2±1.645√0.16/10
CI = 0.2±1.645√0.016
CI = 0.2±(1.645*0.1264)
CI = 0.2±0.2081
CI = (0.2-0.2081, 0.2+0.2081)
CI = (-0.0081, 0.4081)
hence the 90% confidence interval for the population proportion, p is expressed as -0.0081<p<0.4081
Which number is not in scientific notation?
3.2 ⋅ 10–2
15 ⋅ 1020
8 ⋅ 1013
1.42 ⋅ 10–9
Answer:
The correct answer should be B
Step-by-step explanation:
If this helped please mark brainliest!
Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10
Answer:
M=10
N=5
Q=2
Step-by-step explanation:
if you look at the equation it says
M+M+M=30
Since there's 3 M's you can combine it and make it into 3M=30.
you could then divide 30 by 3 in order to get M by itself and you would get M=10.
Hope this helped :)
2/5x+4 =1/5x+8
I give up I hate math
(2, 6) & (2,7)
Find the slope
Answer:
1/0 or undefined (use undefined)
Step-by-step explanation:
7-6= 1/0
2-2=
1/0 isn't a real slope so it's undefined...
One number is 6 less than another number. Their sum is 50. What is the smaller number?
If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?
x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6
Answer:
y = 2x - 6
Step-by-step explanation:
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.
No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Answer: 8.5%
Step-by-step explanation:
Formula : Simple interest = (Principal) x (annual interest rate) x (Time) (i)
Given: Principal : P = $ 17,500
Time : 2 years
Simple interest : I = $ 2975
Let r = annual
[tex]2975=17500\times(r)\times(2)[/tex]
[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]
Hence, The annual interest rate was 8.5%.
I need these answers please please please I need it ASAP
Answer:
1:101
2:15
3:11
4:56
Source:trust me bro
Which scatterplot BEST suggests a linear relationship between X and Y? URGENT!!!!!!!!!!!!!!! HELP PLEASE AND FAST!!!!!!
The scatterplot that best represent a linear relationship between the variables, X and Y, is: graph C.
What is a Linear Relationship?On a scatterplot, the trendline that shows a linear relationship between two variables will have a straight line pattern that either slopes up or down.
The scatter plot in graph C shows a trendline that slopes along a straight line. Therefore, the answer is C.
Learn more about linear relationship on:
https://brainly.com/question/7040405
#SPJ2
find the images of the following under thr reflection aboit x_axies a(2,_3)
Answer:
that not a full question I cant answer that.
7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Given:
AB ≅ CD
To prove :
ΔABC ≅ ΔCDA
Statements Reasons
1). AB ≅ CD 1). Given
2). AC ≅ AC 2). Given
3). ΔABC ≅ΔCDA 3). HL property of congruence
Therefore, Option (B) is the correct option.
Answer:
the answer is aas
Step-by-step explanation:
im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle
What is the solution of the system of equations?
Help
Answer:
(0, 5)
Step-by-step explanation:
Please help me Solve for r: r/5 = 7
-2
2
35
-35
Which one is the answer
What two things do you NEED to write an equation in point-slope form?
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
Write in slope intercept form given two points (1,2) and (-2,5)
HELP ME WITH THIS QUESTION PLZZZZZZZZZZZ, ALSO PLEASE SHOW UR WORK I NEED HELP I DON'T UNDERSTAND THISSSSSS
Answer: Jon has the best rate
Step-by-step explanation:
You are picking out an outfit to wear for school. You have the option of wearing jeans, a pair of khakis, or a pair of shorts; a white shirt, a yellow shirt or an orange shirt; and a pair of tennis shoes, a pair of flip flops or a pair of dress shoes. How many different outfit combinations do you have?
Answer:
You have 24
Step-by-step explanation:
50 50 23 start fraction, 23, divided by, 50, end fraction of Xander's friends prefer to stay home on Friday nights. What percent of Xander's friends prefer to stay home on Friday nights?
Answer:
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
Step-by-step explanation:
23/50 of Xander's friends prefer to stay home on Friday nights.
What percent of Xander's friends prefer to stay home on Friday nights?
% of Xander's friends that prefer to stay home on Friday nights
= 23/50 × 100
= 0.46 × 100
= 46%
Percent of Xander's friends that prefer to stay home on Friday nights = 46%
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.
Answer:
DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.
Step-by-step explanation:
Answer:
All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.
Step-by-step explanation
My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain
Which expression is NOT equivalent to 6 × 14?
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
17 < 2x + 7 <29*
Your Inswer
Answer:
5<x<11
Step-by-step explanation:
Answer:x=3
Step-by-step explanation:
Which set of coordinates is NOT a function?
O {(5,5), (3, 9), (2, -1), (5, 8)}
O {(2,5),(3,9),(4, -1), (5,9)}
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Answer:
O {(-2,-5).(-3,5),(4,-5), (5,5)}
Step-by-step explanation:
brainest plz
