Answer: 4(3)^w = 972
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
b) cylinder volume = π r^2 h = π*4*3= 12π = 37.68in^3
d) cone volume = .33π r^2 h = .33*π*225*50= 3750π cm^3
f) cuboid volume = l*b*h = 44*19= 836 in^3
e) hemisphere volume = 2/3 π*r^3 = 883.57ft^3
WILL GIVE BRAINLIEST, THANKS AND 5 STARS.
Sam kicks a ball off of a rooftop. After t seconds, its height, h (in feet), is given by the formula: h (t) = -16t^2 + 64t + 80.
*NOTE: Complete this without using graphing features on your calculator, and show all work for credit.
a. What is the maximum height reached by the ball?
b. When did the ball reach its maximum height?
c. When will the ball hit the ground? (Do algebraically)
d. What is the height of the ball after 1 second?
EXPLAIN ALL 4 PARTS IN DEPTH, PLEASE!
hi hope this is what you were looking for, hope this helps.
Answer:
a. 144m
b. After 2 secs
c. Ball hits the ground after 5 secs.
d. 128m
Step-by-step explanation:
A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.
4. the weight of a liquid varies directly as its volume v. of the weight of the liquid
in a cubical container 5 cm on a side is 375 g, find the weight of the liquid in a
cubical container 4 cm on a side.
a. 64 g
b. 129
c. 44 g
d. 192 g
Arianna paid $144 in simple interest on a $2000 loan that she repaid in 2 years. what interest rate did ariana pay on the loan
Ariana paid a 3.6% interest rate on the loan.
What is the simple interest?Simple interest is defined as interest paid on the original principal and calculated with the following formula:
S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
We have been given data as:
Principal (P) = $2000
Simple interest = $144
Time (T) = 2 years
⇒ Simple interest = P × R × T
Substitute the value of P and T in the above formula,
⇒ 144 = 2000 × R × 2
⇒ 144 = 4000 × R
⇒ R = 144/4000
Apply the division operation, and we get
⇒ R = 0.036
⇒ R = 3.6 %
Therefore, Ariana paid a 3.6% interest rate on the loan.
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Find the nth term of this number sequence
2, 4, 6, 8, ...
Answer:
As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:
1st term: 2 = 2(1)
2nd term: 4 = 2(2)
3rd term: 6 = 2(3)
4th term: 8 = 2(4)
Additional terms:
5th term: 10 = 2(5)
6th term: 12 = 2(6)
7th term: 14 = 2(7)
8th term: 16 = 2(8)
Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.
Notice that we add 2 to each term in order to get to the next term.
Since we use addition, we have an arithmetic sequence.
Hence, the nth term is:-
n+2
Hope it helps!
Any queries - comment !
Abby found that the radius of her bike tire was 14 inches what is the circumstances of the tire
Answer:
28
Step-by-step explanation:
radius= 14
circumstances of tire=?
Based on given conditions, formulate
circumstances= 2 multiply radius
= 2 multiply by 14
= 28
A bicycle wheel has a radius of 1.25 ft. How many feet will the bicycle travel after 75 revolutions? If necessary, round your answer to the nearest foot.
The bicycle will travel approximately 588.75 feet after 75 revolutions. Rounded to the nearest foot, the answer is 589 feet.
What is circumference?The distance along a circle's perimeter is referred to as its circumference.
The distance traveled by bicycle in one revolution is equal to the circumference of the wheel.
The circumference of a circle is given by the formula:
C = 2πr
where r is the radius of the circle and π is approximately 3.14.
In this case, the radius of the bicycle wheel is 1.25 ft.
Therefore, the circumference of the wheel is:
C = 2π(1.25) = 2.5π ft
After 75 revolutions, the distance traveled by bicycle is:
distance = 75 revolutions × 2.5π ft/revolution
distance = 187.5π ft
Using a calculator, we can approximate π as 3.14 and calculate:
distance ≈ 588.75 ft
Therefore, distance = 589 ft.
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HELP MEEE , need the right answer
Answer:
A
Step-by-step explanation:
We do the opposite.
Answer: A. c = nv
Step-by-step explanation: This is simple algebra, despite the complicated variables involved. Just think of it as a normal equation.
First, we multiply both sides by v to get rid of c/v. Thus, nv = c. We can switch sides since c also equals nv. So, the answer of c = nv, or A in the multiple choice.
If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.
true or false?
Answer:
True
this is true there is also another way of thinking of it
Imagine subtracting 3 from both sides so then it will be X= -3
If f(x) = (x³ + 25), find the inverse of f.
Answer:
y = ∛x - 25
Step-by-step explanation:
To find the inverse function, swap x and y , and solve the resulting equation for x.
If the initial function is not one-to-one, than there will be more than one inverse.
So, swap the variables: y = x³ + 25 becomes x = y³ + 25
Now solve the equation, x = y³ + 25 for y.
y = ∛x - 25
In circle H with m∠GHJ=66 and GH=10 units, find the length of arc GJ. Round to the nearest hundredth
Answer:
Step-by-step explanation:
arc length= central length/360 (circumference)
GJ=90/360 (2π20)
GJ= 31.42
31.42
The length of arc GJ is 11.5133 unit.
What is Arc length?In geometry, the arc length refers to the length of a portion of a curve or an arc of a circle. It is the distance along the curve between two endpoints of the arc.
We have,
m <GHJ = 66 and GH = 10 unit
Now, using arc length formula
= nπr / 180
= 66 x 3.14 x 10/ 180
= 11.5133 unit
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What is the slope of the line?
y = -2/7x
A. -2
B. -2/7
C. 0
D. 2/7
Please solve for X and Y
CCan you make it visible to see, please!CCan
Find the length of BC.
Explain how you got it, please!
Thanks!
Answer:
BC = 30.73
Here,
[tex]\sf \frac{AB}{BQ} = \frac{CD}{DQ}[/tex]
so first solve for QD
[tex]\sf \hookrightarrow \frac{32}{15} = \frac{19.2}{DQ}[/tex]
[tex]\sf \hookrightarrow 32(DQ)} =19.2(15)[/tex]
[tex]\sf \hookrightarrow 32(DQ)} =288[/tex]
[tex]\sf \hookrightarrow DQ =9[/tex]
Hence, QD = 9Now! using Pythagoras theorem,
CD² + BD² = BC²19.2² + (9+15)² = BC²BC = √368.64+576BC = 30.73499634BC = 30.73 ( rounded to nearest hundredth )Answer:
BC = 30.7 units (nearest tenth)
Step-by-step explanation:
As ∠AQR = ∠CQR then ∠AQB = ∠CQD
This means that ΔABQ ~ ΔCDQ
Therefore, the side lengths of two similar triangles are proportional.
[tex]\begin{aligned} \sf \dfrac{AB}{CD} & =\sf \dfrac{BQ}{QD}\\\sf \implies \dfrac{32}{19.2} & =\sf \dfrac{15.0}{QD}\\\sf \implies QD & = \sf 9 \end{aligned}[/tex]
Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = BD = BQ + QD = 15 + 9 = 24b = CD = 19.2c = BCSubstituting values into the formula:
[tex]\begin{aligned}\sf 24^2+19.2^2 & = \sf BC^2\\\sf BC^2 & = \sf 944.64\\\sf BC & = \sf \pm\sqrt{944.64}\\\sf BC & = \sf 30.7 \ (nearest \ tenth)\end{aligned}[/tex]
(since distance is positive only)
G= {(-5,5), (6, 8), (-5, -5)}
What is the domain and range
Answer:
I'm pretty sure domain is x and range is why which would mean that:
domain: -5,6
range: 5,8,-5
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting you time and I hope you find the right answer and may God bless you:)
the perimeter of an isosceles triangle is 45 inches. 2 sides of the triangle are congruent and the third side is twice as long as the sum of the congruent sides. what is the length of the third side of the triangle in inches
Answer:
did this bring a pic because i might need it to answer the question since its not answerable if theres no more details
Step-by-step explanation:
Find the value of A) 3/5 multiplied by - 2/7, B) - 1/5+-1/3
A. -2/7
B. -8/15
hope it helps...!!!
6|-5| - 3(2/3) + 7(-8)=
-88
-16
-28
Answer:
-28
Step-by-step explanation:
6|-5| - 3(2/3) + 7(-8)=
30 -2 -56
30 -58 = -28
Help me pleaseeeeeeeeeeeeeeee
Answer:
x=1
Step-by-step explanation:
since one y is positive and the other is negative, they cancel eachother out, making 3x=3. 3/3=1
Select the correct answer. what makes mobile banking somewhat less secure than regular online banking? a. mobile banking apps are inherently less secure than banking programs on a computer. b. mobile devices can be lost or stolen more easily than a computer, such as a laptop. c. information entered into a mobile device can be accessed by other users on the same network. d. unlike with computers, mobile banking apps store personal financial information and share it with other apps.
The reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
Mobile banking is doing transaction and bank related works through mobile apps.
Online banking refers to internet banking, usually done through websites of banks. Usually, user uses this type of banking in desktops, rather than mobiles as for mobiles, there are apps already available which are more convenient than websites.
Option A is not correct as there is almost same security for both types of banking.
Option C is not correct as this third party information access can be done for both mobile and online banking if the security is weak, else none of them will be affected.
Option D: Mostly, banking apps do not store crucial informations in memory, and if they do so,then they are protected and no other app can use it., so this option is incorrect.
Option B is somewhat correct as mobiles can be lost or stolen easily. The hacker can then use that device to steal the data if the security is weak. But, even if the security is tight, the situation when your mobile with banking information is in hands of an unethical hacker is somewhat risky.
Thus, the reason that makes mobile banking somewhat less secure than regular online banking is given by: Option B: Mobile devices can be lost or stolen more easily than a computer, such as a laptop.
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Which scatterplot has a correlation coefficient closest to r = -1?
Step-by-step explanation:
negative correlation because the negative correlation moves towards the left.
Is 2mi equal to 3,333 yrds?
Through: (-4,-2); slope = 0
Answer:
y = -2
Step-by-step explanation:
y - y₁ = m (x - x₁)
y + 2 = 0 (x + 4)
y + 2 = 0
Final simplified equation: y = -2
Hope this helps!
What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?
(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7
The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.
A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.
The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).
An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.
Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.
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B3: Jill filled up her car with 15 gallons of gas for $43.35. Bill filled up his car with 22 gallons of gas for $61.82. Who got the better deal on gas?
Answer:
Bill go the better deal
Step-by-step explanation:
43.35/15=2.89
61.82/32=2.81
Fiona is studying how income taxes impact various families and their finances. She creates a table with various amounts of taxes owed and estimates that this represents 9% of each family’s gross income.
Using proportions, it is found that the values that complete the table, from top to bottom, are given by: $670, $920, $1500, $2100.
What is a proportion?A proportion is a fraction of a total amount.
Considering that the amounts in taxes correspond to 9% of the gross income, we have that for each family, we will find the incomes as follows:
Family 1:
0.09I = 60.30.
I = 60.30/0.09
I = $670.
Family 2:
0.09I = 82.80.
I = 82.80/0.09
I = $920.
Family 3:
0.09I = 135.00.
I = 135.00/0.09
I = $1500.
Family 4:
0.09I = 189.00.
I = 189.00/0.09
I = $2100.
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Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?
(Can somebody please help me!) (NO links!)
What do I put!
Answer:
x = 16angle = 48°Step-by-step explanation:
The marked angles have a sum of 90°. This lets you find the unknown angle and the value of x.
42° +3x° = 90°
3x° = 48° . . . . . . . . . subtract 42°. This is the value of the unknown angle
x = 16 . . . . . . divide by 3°
__
The value of x is 16.
The measure of the missing angle is 48.
Consider the system of equations.
x − 4y = 11,
3x + 5y = −1
Which number should you multiply the first equation by to eliminate the x-variable term?
1
–1
3
–3
Answer:
-3
Step-by-step explanation:
since if you multiply by -3 the sum of both equations will not have an x variable.
Answer:
D
Step-by-step explanation:
What is the answer, I need this for a geometry assignment.
Answer:
x= 14. (ik this not trig but side opp. 30 angle is half the hypotenuse in right triangle). pls give brainliest
Step-by-step explanation: