Answer:
The maximum height is 46.64 feet.
Step-by-step explanation:
If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.
So, we have the function h(t):
[tex]h(t)=-16t^{2} + 45t + 15[/tex]
Taking the derivative, we have:
[tex]\frac{dh(t)}{dt}=-32t + 45=0[/tex]
Now, we solve it for t:
[tex]t=\frac{45}{32}=1.4\: s[/tex]
Finally, we put this value of t into the original equation.
[tex]h(t)=-16(1.4)^{2} + 45(1.4) + 15[/tex]
[tex]h_{max}=46.64\: ft[/tex]
Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.
I hope it helps you!
I need help on this homework
Evaluate: 4+8 divided by 2x (6-3)
Answer:
Step-by-step explanation:
(4+8)/(2x(6-3)) = 12/(2x(6-3)) = 12/6x = 2/x
Answer:
2x
Step-by-step explanation:
PLEASE HELP!!! If the simple interest on $7,000 for 5 years is $2,100, then what is the
interest rate?
formula.
2100 = 7000 .r: 5
Solve for r.
re
(Simplify your answer. Type an integer or a decimal.)
Answer:
46.66
Step-by-step explanation:
2x-10>-14
Pls help ASAP pls
Answer:
the answer should be x>-2
Answer:
download photo math
Step-by-step explanation:
+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If the simple interest rate on $6000 for 8 years is $2880, then what is the interest rate?
PLEASE HELP I WILL MARK BRAINLIEST!!
Answer:
12.5%
Step-by-step explanation:
Sorry if it's not right A bit rusty with percentages
Answer: 6
Step-by-step explanation:
A ladder is 12 metres long . It leans against a wall with one end on the ground 7 metres from the wall. The other end just reaches a windowsill. Calculate the height of the windowsill above the ground.
i need an explanation please...
Answer:
window sill height =9.75 meters
Step-by-step explanation:
Ladder^2=height^2+length^2
12^2=height^2+7^2
144=height^2+49
height^2=144-49=95
height=9.75
Please can someone help??!!!
Answer:
x ≈ 2.76
Step-by-step explanation:
The inscribed angle (34x + 4) is half the measure of its intercepted arc, then
34x + 4 = [tex]\frac{1}{2}[/tex] × 196° = 98 ( subtract 4 from both sides )
34x = 94 ( divide both sides by 34 )
x ≈ 2.76 ( to the nearest hundredth )
Amira has a pyramid shaped plant pot. It has a square base with a side length of 30\text{ cm}30 cm30, start text, space, c, m, end text, and the height of the pot is 30\text{ cm}30 cm30, start text, space, c, m, end text. Amira wants to fill the pot to \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction of its height with soil.
What is the approximate volume of soil that Amira needs?
Round to the nearest cubic centimeter.
Answer:
1125
Step-by-step explanation:
Amira needs 1125 cm^3 of soil. The answers is right, I just took the test.
Answer:
1125
Step-by-step explanation:
What steps would you use to solve this equations for x? *
Answer:
x=-24
Step-by-step explanation:
Multiply both sides by 4 to get x=-24
[tex]\\ \rm\hookrightarrow -6=\dfrac{x}{4}[/tex]
Multiply 4 on both sides
[tex]\\ \rm\hookrightarrow x=-6(4)[/tex]
[tex]\\ \rm\hookrightarrow x=-24[/tex]
How can you use expressions to find the percent of a number?
Answer:
See below
Step-by-step explanation:
x% of y is found as:
1% of y ⇒ y*1/100 = 0.01yx% of y ⇒ x*0.01y = 0.01xySo the answer is:
0.01xyFor what value of 'k will (x - 1) be a factor of 4x^3 +kx^2 - 7x - 10?
Answer:
k = 13
Step-by-step explanation:
If (x-1) is a factor, then f(1) = 0
4*1 + k*1 - 7*1 - 10 = 0
4 + k - 7 - 10 = 0
k - 13 = 0
k = 13
Theo wants to pick out an outfit for the school dance he can choose from four pairs of pants 5 shirts and 2 pairs of shoes how many different outfits does Theo have to chose from
Answer:
40
Step-by-step explanation:
Pair of pants = 4
Number of shirts = 5
Pair of shoes = 2
Number of different outfits possible :
Pair of pants * number of shirts * pair of shoes
4 * 5 * 2
20 * 2
= 40
If you wanted to figure
out how much air is in
a basketball, would
you use plane
geometry or solid
geometry?
Answer:
solid gemontery
Step-by-step explanation: Plane geomentry is flat and soild is balls sqaures and other types of shapes.
A high school soccer team has 3 freshmen, 4 sophomores, 6 juniors, and 7 seniors. Two random players will be chosen by the coach to lead the warm up. What is the probability that the coach will select a sophomore then a senior?
A. 7/95
B. 7/100
C. 4/75
Which of the following are point slope form of the line going through (-4,6) and (1,2)
Answer:
answer in comment
Step-by-step explanation:
So, we have to find the slope of the line. We are given two points, so we can use those:
(x1,y1) = (-4,6)
(x2,y2) = (1,2)
m = (y2-y1)/(x2-x1) = (2-6)/(1--4) = (2-6)/(1+4) = -4/5
Also, we know that point-slope is of the form:
(y-y1) = m*(x-x1)
It doesn't matter which point you use, though, you can also use:
(y-y2) = m*(x-x2)
So we can plug the variables into the equation and get:
(y-2) = -4/5*(x-1)
OR
(y-6) = -4/5*(x+4)
Madeline solved the inequality 3x + 7 ≤ 8x - 3 and her solution is x = 2.
3a) Madeline is incorrect. Explain why she is incorrect.
Farid thinks last month was unusually rainy in his town—they had 6 inches of rain! His town's current record for rainfall in a year is 2 feet. Farid wonders what the new record would be if they were to keep getting this much rain for an entire year. If Farid's town had 6 inches of rain every month for 12 straight months, by how many feet would they beat the annual record?
I need help please ):
And if u don’t know the answers do not comment anything because i'm really looking for help!
Answer:
x=16
Step-by-step explanation:
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.
What expression represents the new position of the submarine in relation to sea level?
Answer:
We know it's at -1260 feet and descends 5 per minute
The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.
Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be
-1260 -5*12 = -1320 feet
And the answer would be -1320 feets
3+{2×(8-4+6)}-5-{9+4-[3×(1-5)]}
Answer:
Step-by-step explanation:
Alright all we need to know is to understand our brackets
So 3+{2×(8-4+6)}-5-{9+4-[3×(1-5)]}
3+20-5-9+4-3(1-5)
Step 2
3+20-5-9+4-3(1-5) Simplify
18-9+4-3(1-5)
Step 3
18-9+4-3(1-5)
13-3(1-5)
13-(-12) Here is the tricky part (We aren't going to subtract because the brackets multiply the equations
So,
13+12=25
Your answer is 25
An investment of £200 increases by 4% each year for 3 years
Calculate the value of the investment at the end of the period.
(Will give brainliest and 10 points)
Answer:
£224
Step-by-step explanation:
Given data
P= £200
R=4%
T=3 years
Simple interest
A= P(1+rt)
Substiute
A= 200(1+0.04*3)
A=200(1+0.12)
A=200*1.12
A=£224
Hence the investment at the end of the period is £224
Round 72.178 to the nearest hundredth.
Answer:
72.18
Step-by-step explanation:
The hundreth place is the second to the right of the decimal. So the number in the hundreths place is 72.178. When rounding, you look at the number behind the number you are rounding to. In this case, you want to look at the 8. If the number is 5 or above, you round up. 8 is above 5 so you round the 7 to an 8.
Answer: 72.18
Step-by-step explanation:
hope this helps
Washing 2 cars and 3 trucks takes 130 minutes. Washing 2 cars and 5 trucks takes 190 minutes. How long does it take to wash each type of vehicle?
130. and. 190. = 220 final answer
Expand and simplify the following:
(5+2d)(2+3d+d²)
Must show working !! Will give brainliest :)
Answer: 2d³+11d²+19d+10
Step-by-step explanation:
Use the FOIl method to simplify this
FirstOuterInnerLast-------------------------------------------------------------------
(5+2d)(2+3d+d²)
=10+15d+5d²+4d+6d²+2d³ ⇔ Expand using FOIL
=2d³+(5d²+6d²)+(4d+15d)+10 ⇔ Put like terms together
=2d³+11d²+19d+10 ⇔ Combine like terms
Hope this helps!! :)
Please let me know if you have any questions
Answer: 2d³+11d²+19d+10
Step-by-step explanation: first we rearrange terms (5+2d)(2+3d+d²) into (2d + 5)(2 + 3d + d^2) then we do Rearrange terms again and then we Distribute and combine like terms and get our answer.
Find the value of x so that f(x)=3
Answer:
f(x) = (1/3)x - 2
f(x) = (1/3)(3) - 2
f(x) = 1 - 2 = -1
Step-by-step explanation:
f(x) usually refers to a function not a multiplication of two variables
3.102 x 10^3 in standard form
Answer:
3102x
Step-by-step explanation:
please solve thanks tyyy
Step-by-step explanation:
x = 1/2 Arc AB ( Relation between inscribed angle and corresponding arc)
x = 1/ 2 * 124
x = 62°
y = x ( Inscribed angles on standing on same arc are equal)
y = 62°
Hope it will help :)
I had $13.00. My mom gave $10.00 my dad gave $30. My Aunt, My uncle and grandma gave me $100. I had another $7.00. How much did I have?
Answer:
$360.00
Step-by-step explanation:
$13.00 + $10.00 + $30.00 + $100.00 + $100.00 + $100.00 + $7.00 = $360.00
I hope this helps you :D
Four positive whole numbers add up to 39 one of the numbers are a multiple of 7 the other three are equal workout the result when the four numbers are multiplied
Answer:
Number is 4536
Step-by-step explanation:
Assume;
Same number = a
Multiply of 7 = b
So,
a+a+a+b = 39
3a + b = 39
Use b = 7
3a + b = 39
3a + 7 = 39 (Not possible)
Use b = 14
3a + b = 39
3a + 14 = 39 (Not possible)
Use b = 21
3a + b = 39
3a + 21 = 39
a = 6
So,
Number is 6 x 6 x 6 x 21
Number is 4536
40 times 40 times 30 equals
48000 is your awnserrrr