Answer:
12
Step-by-step explanation:
The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 17 seconds? a 4046 ft b 272 ft c 4624 ft d 5202 ft answer is C
Answer:
the object will fall 792 feet in 17 seconds
Step-by-step explanation:
first you can do 144 multiplied by 5 because that would be 15 of those seconds next you would do 144 divided by 2 because you only need 2 seconds to reach 17 your answer would be 72 then you would do 720+72=792 so it would fall 792ft in 17 seconds
Step-by-step explanation:
Assuming the Height is denoted by "h" and the time by "t" , h=kt² since h varies as t².
When h=144ft , t=3
k=h/t²
k=144/3²
k= 16
This implies that h=16t² is the relation to be used.
Therefore when t= 17s, h=16*17²
h=4624ft
Find the surface area of
the net below
a. 25 square inches
b. 100 square inches
c. 75 square inches
d. 150 square inches
PLS HELP ME!! :((
Find the volume, given that the apothem is 11.3 in. (hint: remember for regular polygons, A = 2 (apothem) (Perimeter) Round your answer to the nearest - tenth.
Answer:
V = 3085 in³
Step-by-step explanation:
The volume is given by:
[tex] V = A*h [/tex]
Where:
A: is the area
h: is the height = 7 in
The area of the polygon can be found by using the given equation:
[tex] A = \frac{1}{2}a*p [/tex]
Where:
a: is the apothem = 11.3 in
p: is the perimeter
The perimeter is:
[tex] p = 13*6 = 78 in [/tex]
Hence, the volume is:
[tex] V = A*h = \frac{1}{2}a*p*h = \frac{1}{2}11.3 in*78 in*7 in = 3085 in^{3} [/tex]
I hope it helps you!
round 23.0975 to the nearest tenth
Answer:
23.1
Step-by-step explanation:
Answer:
23.0980. lol tell me.if it's wrong
5 times 4 times 2 times 2 divided by 2 minus 4
Answer:
36
Step-by-step explanation:
5 x 4 = 20
20 x 2 = 40
40 x 2 = 80
80 ÷ 2 = 40
40 - 4 = 36
Determine the mean of given data
-7, 6, -6,5, -5, -11
Answer:
-3
Step-by-step explanation:
-7+6-6+5-5-11/6 = -3
a Hyundai Accent cost $10,000
thats cool to know!!!!!
hi I hope you are all okay could someone help me with this math question thankyou !!!
y
∝
1
√
x
If
y
=
7
when
x
=
64
find,
x
when
y
=
8
Answer:
x = 49
Step-by-step explanation:
Given the mathematical expression and data;
y = 1/√x
y = 7 and x = 64
First of all, we would find the constant of proportionality, k;
y = k/√x
7 = k/√64
7 = k/8
k = 7 * 8
k = 56
Next, to find the value of x, when y = 8
y = k/√x
Substituting the values, we have;
8 = 56/√x
Cross-multiplying, we have;
8 * √x = 56
√x = 56/8
√x = 7
Taking the square of both sides, we have;
(√x)² = 7²
x = 49
There were approximately 3.3 x 108 people in the United States of America in 2018. The average person consumed about 3.4 x 10 milligrams of sodium cach day. Approximately
how much sodium was consumed in the USA in one day in 2018? Write answer in scientific notation.
Answer:(3.3 x 10^8) x (3.4 x 10^2) = 1.22 x 10^11
Step-by-step explanation:
Tyler and Daniel each deposited money into different banks with different savings plans. Tyler went to
Bank 1 and deposited $500. Daniel went to Bank 2 and deposited $1500. The graph above shows how
much money is in each savings account after 14 years. According to the graph, who will have more money
by year 20, and why?
Daniel, because his money is increasing exponentially.
O Daniel, because his money is increasing linearly.
O Tyler, because his money is increasing exponentially
Tyler, because his money is increasing linearly
Answer:
C
Step-by-step explanation:
Tyler, because his money is increasing exponentially.
I finished taking the test and got it right :)
The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially
What are exponential functions?When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.
For example, [tex]y = a.b^x[/tex] , where a is a and b are constants is an exponential function.
How to calculate simple interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]
Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.
Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).
Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.
Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially
Learn more about instantaneous rate of change here:
https://brainly.com/question/13467261
Convert 5.5 feet to inches. There are 12 inches in 1 feet.
Answer:
GIVE BRAINLIEST PLZ
Answer:66
Step-by-step explanation:
5.5* 12=66
There you go
hurry please i will give yo a thanks and a full star rating if you get it right please thanks
Answer:
12+21x
Step-by-step explanation:
2 ( x - 3 ) = 2x + 5 find the value of x
Answer: THERE IS NO VALUES OF X THAT MAKE THE EQUATION TRUE.
Step-by-step explanation:
NO SOLUTION
Answer:
2x-6=2x+5
2x-2x=5+6
=11
what is the slope of the line passing through the points (4,7) and (-2,10)?
Answer:
-1/2
Step-by-step explanation:
Answer:
the answer is the slope is -1/2
pls answer ill give brainliest!
Step-by-step explanation:
i bileve false numver 1 false
Which system of inequalities is shown?
A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220
If you were to randomly pick a ball from the pile below what is probably that the ball picked is a yellow ball
Answer:
1/4
Step-by-step explanation:
Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me
Answer:
is a d :) for a 20y
Step-by-step explanation:
Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65
Answer:
True
Step-by-step explanation:
When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60
i hope that this helps you :)
(2a^3 b^4) ^4=
What is the answer to this problem ?
Answer: 16a^12 b^16
Step-by-step explanation:
Everything in the parenthesis to the 4th power.
2a^4= 16a
3*4=12
b^4*4=b^16
How does Hectors rate compare to the fitness challenge rate?
Answer:
> and greater than
Step-by-step explanation:
I just did the Iready
Answer:
> and greater
Step-by-step explanation:
What rule is used to simplify exponents when multiplying polynomials?
Answer:
product rule
To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base
8.6 mi
18 mi
A) 53.2 mi?
C) 106.4 mi?
E) 212.8 mi?
B) 221 mi?
D) 110.5 mi?
Answer:
C
Step-by-step explanation:
x/3 = -2 what does x equal
Answer:
x = -6
Step-by-step explanation:
In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?
25
24
617
613
Answer:
term 25
Step-by-step explanation:
a is the number added from 3 to 8 is 5(must be constant like 8 to 13 is also 5
b is the zero term so 3-a which is 3-5=-2
Sydney brings $200 to the mall. She buys a $ 70 watch and some shirts for $40 each.
Which inequality represents the situation?
Also determine how much money Sydney has left after she buys 2 shirts?
Question 2 options:
40x+70≤200, 50
40x+70<200, 120
110x>200, 128
40x+70≥200, 130
Answer:
A
Step-by-step explanation:
subtract the mixed numbers. Make sure to simplify the difference.
3 1/3 - 1 5/6 =
Answer:
1 1/2
Step-by-step explanation:
3 1/3 = 10/3 = 20/6
1 5/6 = 11/6
20/6 - 11/6 = 9/6 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
The Boston Red Sox had 949 runs in their 2004 season. In their 2015 season, they had 748 runs. Find the rate of change in runs.
Answer: -18.27 per year
Step-by-step explanation:
The difference in years is:
= 2015 - 2004
= 11 years
In those 11 years, the runs decreased from 949 to 748.
The total decrease is:
= 949 - 748
= 201 runs
The rate of change is:
= 201 / 11
= 18.27 per year
Since it is reducing, the rate is:
= -18.27 per year
The perimeter of a rectangle is
30m. The length of the rectangle is
3 m more than twice the width. Find
the dimensions of the rectangle
a. 3m x 12m
b 4m x 11m
c 8m x 7m
d 6m x 9m
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = xLength = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,30=2x+4x+6 combining like terms30=6x+6 subtracting 6 from both sides,24=6x divide both sides by 64=x This means that the width is 4 m.To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved forL=2(4)+3L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m.