If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.
Can someone help me with this
Answer:
Angle 3 is 65°, Angle 8 is 115°
Step-by-step explanation:
Angle 3 and 1- Linear Pair
Angle 8 and 1- Alternate Exterior
Which choice best represents the height an airplane flies?
A)10 cm
B)10m
C)10mm
D)10km
Answer:
I think 10 km.
Please mark as brainliest.
Answer: 10 kilometers
10 kilometers is about 38,500 feet. This is the average altitude an average commercial plane should fly. The answer to this question is D, 10 kilometers.
Hope this helps!
Marshall buys a sack of peaches for $5.98. The peaches weigh
2.77 pounds. About what price per pound did Marshall pay? Estimate using compatible numbers.
Answer:
Step-by-step explanation:
a
Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to
buy one cup of coffee. The original amount of money on the gift card was $10 and
each
cup
of coffee costs $2. Write an equation for A, in terms of x, representing the
amount money remaining on the card after buying x cups of coffee.
Answer:
$10 - $2x = A
Step-by-step explanation:
The equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Isaiah was given a gift card for a coffee shop. Each morning, Isaiah uses the card to buy one cup of coffee. The original amount of money on the gift card was $10 and each cup of coffee costs $2.
The equation will be written as below,
$10 - $2x = A.
A is the amount of money remaining on the card
x is cups of coffee.
Therefore, the equation for A, in terms of x, represents the amount of money remaining on the card after buying x cups of coffee is $10 - $2x = A.
To know more about an expression follow
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How much do you need to subtract from 35/6 to make 5?
Answer:
You need to subtract 5/6
Step-by-step explanation:
35/6 - 5 = 5/6
So; 35/6 - 5/6 = 5
The perimeter of a triangle is 88. The sides have lengths d, e, and f. The ratio of e to d is 3:1, and the ratio of f to e is 10:9. list the length of the sides of the triangle from smallest to greatest. Type the numbers only, do not include units.
Please can someone answer this, because my answers don't make sense.
Answer:
30039283 d
Step-by-step explanation:
i will help in a bit
Robinson had 17 1/5 feet of wire. He used 9 ¼ feet of the wire to repair a broken fence. How many feet of wire were left? (Give answer in decimal form)
Answer:
7.95
Step-by-step explanation:
convert both numbers to decimals so 17.2 and 9.25 and just subtract so, 17.2-9.25=7.95
-5+(-7), i need to kno the answer
Answer:
12
Step-by-step explanation:
first you add 5+7=12 but, it won't be negative because negative and negative cancel each other out making it positive 12 :)
Z=3x+3 solve for x.
Z=2+3r solve for x.
Answer:
1. X= 1/3 z -1
2. X= 1/3z + -2/3
Step-by-step explanation:
z=3x+3
Step 1: Flip the equation.
3x+3=z
Step 2: Add -3 to both sides.
3x+3+−3=z+−3
3x=z−3
Step 3: Divide both sides by 3.
3x/3 = z-3/3
Step 1: Flip the equation.
3r+2=z
Step 2: Add -2 to both sides.
3r+2+−2=z+−2
3r=z−2
Step 3: Divide both sides by 3.
3r/ 3 = z-2/3
In parallelogram RSTV, diagonals RT and VS intersect at Q. If RQ = 5x + 10 , QT = 20 and QS = 3x+ y and QV = 30 . Find x and y
If csc 0 = 2, find sin 0
Answer:
1/2 (Please read explanation to educate yourself)
Step-by-step explanation:
csc = hyp/opp
sin is the inverse of csc --> sin = opp/hyp
so for csc you have csc(0) = 2/1 and since sin is the inverse then sin(0) = 1/2
Very basic trigonometry and it is the fundamentals of every higher math so learn it well.
Model the following situation with an equation or inequality statement.
The difference of six and a number is greater than nine.
6 - x > 9
hope this helps! :):):):)
15 POINTS PLEASE HELP! It is known that 3 is less than y is less then 7. Find the possible values of the expression:
a) 8y
b)14-2y
Answer:
[tex]a) 8y = 32.\\b)14-2y = 6.[/tex]
[tex]the \: right \: expression \: for \\ 3 \: is \: less \: than \: y \: is \: less \: than \: 7 \: is \\ 3 < y < 7. \\ then \\ y \: can \: be \: any \: value \: form \: (4 \: to \: 6). \\ so \: if \: y = 4. \\ then \\ 8y = 8 \times 4= 32. \\ and \\ 14 - 2y = 14 - 2 \times 4 = 6.[/tex]
The maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
What is inequality?
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is that 3 is less than y is less then 7.
We can write the inequality -
3 < y < 7
Expression 1 : 8y
Maximum value of the expression = Max [1] = 48
Minimum value of the expression = Min [1] = 32
Expression 1 : 14 - 2y
Maximum value of the expression = Max [2] = 14 - 2 x 4 = 14 - 8 = 6
Minimum value of the expression = Min [2] = 14 - 2 x 6 = 14 - 12 = 2
Therefore, the maximum and minimum value of the expressions are -
1 - 8y Max [1] = 48 Min [1] = 32
2 - 14 - 2y Max [2] = 6 Min [2] = 2
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kelly is training for one marathon in week one she runs 7 miles in week two she runs 10 miles in week 3 she runs 13 miles given that she keeps the same pattern find the total distance kelly has run after practicing for 7 weeks
Answer:
25 miles on week 7
Step-by-step explanation:
What is an eqination of the line that passes through the point (-3, -7) and parallel to the line 3x-y=5
I need the y=mx+b
Answer:
y = 3x + 2
Step-by-step explanation:
First you need to change the way the equation is said into a easier form:
y = 3x - 5
Since the line is parallel, you can use the same slope of 3:
y = 3x + b
Now you plug in the coordinates into the equation and solve for b:
-7 = 3 ( -3) + b
-7 = - 9 + b
-7 + 9 = b
2 = b
Now plig this into the equation and you have the answer
y = 3x + 2
A convenience store requires that Ayumi spend $4 or more if she wants to pay using a debit card. Donuts cost $0.80 each. A
bottle of orange Juice costs $1.20. Ayumi payed for 1 orange juice and d number of donuts. Write the equation that represent
the situation.
Answer
1.20+0.80d ≥ 4.00 is the equation. If you are trying to solve for the minimum of donuts she needs to buy so it is over $4.00, then it is 4
Step-by-step explanation:
So in the problem we know she already has bought one bottle of orange juice and needs to buy a certain amount of donuts but we know they are each 0.80 so that will become 0.80d. The 1.20 + 0.80d have to be greater than or equal to 4.00 so she can pay with the debit card and that is why we put the ≥ symbol.
Answer:
.80 × 4 =$3.20
orange juice is $1.20
d =.80×4 +1.20
d=$4.40
ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational
Answer:
both are rational
Step-by-step explanation:
They are both represented as ab or a/b
Question 7 (1 point)
Maria has a bank containing nickels, dimes, and quarters. In all there are 22 coins totaling $2.55. The number of dimes is 4 less than the
number of nickels and quarters combined. Find the number of nickels, dimes, and quarters in Maria's bank. Type your answer in that order
using numbers only.
x= number of nickels
y number of dimes
z = number of quarters
Blank 1:
Blank 2:
Blank 3:
Question 8 (1 point)
Suppose you invested $5000 in three different funds for one year. The funds paid simple interest of 8%, 10%, and 7% respectively. The total
interest at the end of the year was $405. You invested $500 more at 10% than 8%. How much did you invest in the 10% fund?
x= money invested in 8% fund
y-money invested in 10% fund
Answer:
answer for 8 is 1500
Step-by-step explanation:
x(1+y)=z, for x
[tex]x(1 + y) = z for x[/tex]
4 (x - 1) = }(12x – 3)
Answer:
x= -1/8
Step-by-step explanation:
try using symbolab
Jake's solution to the equation −4(2x−3)=36 is shown below.
Answer:
x=-3
Step-by-step explanation:
I hope this help.
PLS!!! HELP ME I WILL MARK U!!!
Answer:
Step-by-step explanation:
23.37
Answer:
-32.27
Step-by-step explanation:
[tex]n^{2}p +p[/tex]
First you have to substitute the values. (n = -1.9 and p = -7).
Substituting it would get to [tex](-1.9)^{2}(-7) + (-7)[/tex].
First you solve the exponent which would get it to [tex](3.61)(-7) + (-7)[/tex].
Then you would multiply to get it to -25.27 - 7.
That gets to -32.27.
Hope this helped! If not, please let me know! <3
how to do this question plz
Answer:
a) root77
b) 2 root77 / ~17.55 cm^2
Step-by-step explanation:
a) by using Pythagorean Theroem,
a^2 + b^2 = c^2
2^2 + b^2 = 9^2
4 + b^2 = 81
81 - 4 = b^2
77 = b^2
root77 = b
b) 1/2bh is the quation for area thus,
area = 1/2 ( 4 ) ( root77)
area = 2 root77
or area = ~17.55 cm^2
h = [tex]\sqrt{77}[/tex]
A =[tex]2\sqrt{77}[/tex]
Step-by-step explanation:Rules for solving this problem:
Isosceles triangle rules
∠C = ∠ABC = BABecause of isosceles being made up of two right triangles; using the pythagorean theorem we can deduce that
(1/2 x AC)² = BC² - h² (1/2 x AC)² = BA² - h²Area of a triangle
A = 1/2 (Base x Height) = 1/2 * bhStep 1 - Find the height
[tex]h =\sqrt{9^2 - ((1/2)AC)^2} = \sqrt{9^2 - ((1/2)~4)^2} = \sqrt{9^2 - 2^2} = \sqrt{81-4} = \sqrt {77}[/tex]
Step 2 - Find the area
[tex]A = \frac{1}{2}bh = (\frac{1}{2})(4)(\sqrt{77}) = 2 \sqrt{77}[/tex]
Hope this helps,
- J.M.Jamon
Pennsylvania State University
Full-time B.S.CE. undergrad student
17. Find the value of x to
make the following equation
true.
n
Answer:
- 2
Step-by-step explanation:
Step 1:
[tex]\frac{n^{10} }{n^{12} }[/tex] = [tex](n^{x})^{1}[/tex] Equation
Step 2:
[tex]n^{10 - 12}[/tex] = [tex](n^{x}) ^{1}[/tex] Subtract the exponents
Step 3:
[tex]n^{-2}[/tex] = [tex](n^{x})^{1}[/tex] Subtract
Answer:
x = - 2
Hope This Helps :)
Which of the following statements is true about
the values of the coordinate points in a figure when the figure is reflected over the y-axis?
Please help!!! The picture shows the selection of answers
Answer:
The y-axis stays the same
Step-by-step explanation:
:)
A circle is translated 4 units to the right and then reflected over the x-axis. Complete the statement so that it will always be true of the circle at the new location.
The circle at the new location has the original circle.
the same center as
twice the circumference of
half the radius of
the same area as
Options
The circle at the new location has _____________ the original circle.
- the same center as
- twice the circumference of
- half the radius of
- the same area as
Answer:
the same area as
Step-by-step explanation:
When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.
This is so because, translation and reflection only affect the positioning of the circle not the size.
Considering the above analysis, we can conclude that option d answers the question correctly.
Answer:
the same area as
If I have 20 apples and I eat 20, and a friend gives me 20 more, and I eat those 20 again, how many apples do I have in total?
Answer:
0
Step-by-step explanation:
If you have 20 apples and you eat 20, and a friend gives you 20 more, and you eat those 20 again, 20-20=0+20=20-20+0
if a rock is soft and the color blue is red then my is a car driving a fish then why are my shoes untied?
Answer:
tuff
Step-by-step explanation:
A square has an area of 289 cm2. What is the length of one side?
Answer:
144.5cm
Step-by-step explanation:
Since it's a square, all sides should be equal so you just need to divide 289 by 2(are of a square is side times side)