Answer:
t = 2.25 h
Step-by-step explanation:
In the case, I cover distance d in 3 hours
d = 3 * v₁ (1)
In the second case my speed increase by 1/3 then my speed is
v₁ + (1/3) v₁ = (3/3 + 1/3 ) *v₁
my new speed is (4/3) * v₁ and
d = (4/3)*v₁ * t (2)
Dividing (2) by (1) we get
1 = (4/3) *v₁*t/ 3*v₁
1 = (4/9)*t
t = 9/4 h
t = 2.25 h
what is the solution of 1
Answer PLSSS..................
rectangle = 3 x 2 = 6 cm2
cirrel = pier2 = 3.14 x 7 x 7 = 3.14 x 49 = 153.86 cm2
153.86 - 6 = 147.86cm2
Find the volume thank for answer
Given :
A cuboid shaped tank with sides 3.2 cm , 2.8 cm and 1.6 cm.
To Find :
The volume of the tank.
Solution :
We know, volume of a cuboid is given by product of its sides or :
[tex]V = l\times b \times h\\\\V = 3.2 \times 2.8 \times 1.6 \ cm^3\\\\V = 14.336 \ cm^3[/tex]
Therefore, the volume of the tank is 14.336 cm³ .
Element X is a radioactive isotope such that every 13 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 90 grams, how long would it be until the mass of the sample reached 62 grams, to the nearest tenth of a year?
Answer:
The mass of Element X will reach 62 grams in 7.0 years.
Step-by-step explanation:
We can find the time of decay of Element X by using the exponential decay equation:
[tex] \frac{dm}{dt} = -\lambda t [/tex]
The solution of the above equation is:
[tex]m_{(t)} = m_{0}e^{-\lambda t}[/tex] (1)
Where:
t: is the time =?
λ: is the decay constant
[tex]m_{(t)}[/tex]: is the mass at time t = 62 grams
[tex]m_{0}[/tex]: is the initial mass = 90 grams
First, we need to calculate λ
[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex] (2)
Where [tex]t_{1/2}[/tex] is the half-life = 13 years
By entering equation (2) into (1) and solving for "t" we have:
[tex]\frac{m_{(t)}}{m_{0}} = e^{-\frac{ln(2)}{t_{1/2}}*t}[/tex]
[tex]ln(\frac{m_{(t)}}{m_{0}}) = -\frac{ln(2)}{t_{1/2}}*t[/tex]
[tex]t = -ln(\frac{m_{(t)}}{m_{0}})(\frac{t_{1/2}}{ln(2)}) = -ln(\frac{62}{90})(\frac{13}{ln(2)}) = 7.0 y[/tex]
Therefore, the mass of Element X will reach 62 grams in 7.0 years.
I hope it helps you!
41. Steven wants to buy a $535 bicycleSteven has no money saved, but will be able to deposit $30 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $65 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?
Answer:
17 weeks of deposits will pay for his bike and his sister
Step-by-step explanation:
Find the measure of the missing angle.
A
43°
Help ASAP plz
Answer:
47
Step-by-step explanation:
The missing angle is complementary to the angle shown and together they from 90.
Your missing angle is 90 - 43
What is the m_ACB?
O 10°
B.
0 50°
(4x)
O 90°
O 180°
(7x-20)
С
Answer:
180
Step-by-step explanation:
90 + 4x + 7x - 20 equals to 180
Answer:
B. 50
Step-by-step explanation:
Pls help no links pls this is due and i need help
Answer:
angle 1=127 degree
angle 3=127 degree
angle 2=53 degree
angle 4=53 degree
angle 5=37 degree
angle 6=90 degree
angle 7=53 degree
angle 8=37 degree
angle 9=37 degree
angle 10=143 degree
angle 11=37 degree
angle 12=143 degree
Step-by-step explanation:
The function y=15,000(1.10)xmodels the cost of annual tuition at a local college, x years after 2000. How much will tuition be in 2025?
Answer: [tex]162,520.588[/tex]
Step-by-step explanation:
Given
The function [tex]y=15,000(1.1)^x[/tex] models the cost of tuition fees after year 2000
In year 2025 that is 25 years after 2000, fees can be given as
[tex]\Rightarrow y=15,000(1.1)^{25}\\\Rightarrow y=15,000\times 10.834\\\Rightarrow y=162,520.588[/tex]
Thus, the fees in year 2025 is [tex]162,520.588[/tex].
An amount of $45,000 is borrowed for 13 years at 6.75% interest, compounded annually. If the loan
paid back
Use the calculator provided and round your answer to the nearest dollar,
Answer:
$104850
Step-by-step explanation:
Given data
Principal= $45,000
Time = 13 years
Rate= 6.75%
the compound interest expression is
A= P(1+r)^t
A=45000(1+0.0675)^13
A= 45000(1.0675)^13
A= 45000*2.33
A= $104850
Hence the final amount will be $104850
ITEMS
The calculator shown costs $160.00 after a discount of $40.00 was given
Calculate the cost of the calculator before the discount
Answer:
mp=160
dis=40
now,
sp=mp-dis
=Rs. 160-Rs.40
=Rs. 120
The area of a parallelogram can be found by the
equation area = (b)(h)
Find the height of a parallelogram that has an area of
10 2 in2 and a base of Ži in.
SET
The height of the parallelogram is
inches.
I NEED THE ANSWE ASAP
Answer:
14
Step-by-step explanation:
just did it (don't search up mr hands)
Question 9 The spinner pictured is spun 100 times and lands in sector A 40 times. What is the experimental probability of the spinner landing on the sector labeled A? NEED ANSWER ASAP FOR A TEST
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
A designer builds a model of a sports car. The finished model is exactly the same shape as the original, but smaller. The scale factor is 2:15
Answer:
[tex]Ratio = 2 : 15[/tex]
Step-by-step explanation:
Given
[tex]k = 2 : 15[/tex] --- scale factor
Required [missing from the question]:
The ratio of width of the model to the original
From the question, we understand that the scale factor is: 2 : 15
The ratio of the width of the model to the original equals the given scale factor i.e.
[tex]Ratio = 2 : 15[/tex]
someone help please I'm having a hard time understanding
Answer:
the angle shown is a straight angle value of which is equal to 180°
3x + 30. 6 = 180
3x = 180 - 30. 6
3x = 149.4
x = 49.8There are 2 quarters, 1 nickel, and 2 dimes in a pocket.
What is the probability of choosing a coin, not returning it to the pocket, and then choosing another of greater value?
A ^3 10
B ^6 25
C ^4 10
D ^8 25
Answer:
C
Step-by-step explanation:
estimate a 15% tip for a 19.80 meal.
Answer:
$3.00
Step-by-step explanation:
The tip would equal to $2.97 so the answer is $3.00 that is your estimate
Answer each question and round your answer to the nearest whole number
Answer:
New width = 12 in.
Step-by-step explanation:
Original height = 2 in.
Original width = 3 in.
New height = 8 in.
New width = x = ?
The shape of the original painting and the shape of the new painting are similar, therefore, the ratio of their corresponding linear measurement will be equal.
Thus:
New height/original height = new width/original width
8/2 = x/3
Cross multiply
2x = 3*8
2x = 24
2x/2 = 24/2
x = 12
New width = 12 in.
Glenn bought a game system and 3 video games for $375. Jim bought a game
system and 4 video games at the same store for $410.
• Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$
Answer:
mcas ikr- $270 per game system (35 per game)
Step-by-step explanation:
solves system
Evaluate: 4x(5+3)=8-2
A 2
B 8
C 12
D 15
Answer:
The answer to the problem is 15.
Find the indicated limit, if it exists.
Answer:
[tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Constant]: [tex]\displaystyle \lim_{x \to c} b = b[/tex]
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Limit Property [Addition/Subtraction]: [tex]\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)[/tex]
Step-by-step explanation:
*Note:
When you graph the function, the left-hand and right-hand limit does equal the same.
Step 1: Define
[tex]\displaystyle f(x) = \left \{ {{x + 9, x < -8} \atop {-7 - x, x \geq -8}} \right.[/tex]
Step 2: Find Limit
Substitute in function [Limit]: [tex]\displaystyle \lim_{x \to -8} f(x) = \lim_{x \to -8} (-7 - x)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to -8} f(x) = -7 - (-8)[/tex]Simplify: [tex]\displaystyle \lim_{x \to -8} f(x) = 1[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Please help me with at least one problem i’m sort of confused on them but I was able to get one. And I will mark brainiest
Answer:
1. 5.75 * 33 = $189.75
The bakers income is $189.75
2. 2 * y - 8 / 4 when y = 7
2 * 7 - 8 / 4 = 12
3. 76 + 4 * y^2 + 1 when y = 3
76 + 4 * 3^2 + 1 = 113
[tex]20\% of gh 200 [/tex]
Answer:
answer
I think it's 40...
[tex]20\% \: \bold{of} \: 200 \\ \\ = \frac{20}{100} \times 200 \\ \\ = \frac{20}{ \cancel{100}} \times \cancel{200} \\ \\ = 20 \times 2 \\ \\ = 40[/tex]
Hope This Helps You ❤️price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.
Answer:
20%
Step-by-step explanation:
$187.50 - 20% = $150.00
Brainliest for correct answer! :)
Answer:
Mode: 44 (mode is biggest number)
Mean: 30 (the average between numbers)
Step-by-step explanation:
Calculating the Mean
44 + 43 = 87
25 + 8 = 33
87 + 33 = 120
120 + 30 = 150
150/5 = 30
The probability for event A is 0.4, the probability for event B is 0.2, and the probability of events A and B is 0.1.
Why are the events not independent?
The sum of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is greater than P(A and B).
The product of P(A) and P(B) is not equal to P(A and B).
The sum of P(A) and P(B) is not equal to P(A and B)
Answer:
the correct answer is the product of PA) and P(B) is not equal to P(A and B)
-2x + 3y = 18. x = -y + 1
Answer:
D. X=-3, y=4
Step-by-step explanation:
-2x+3y=18 equation 1
x=-y+1 equation 2
-2(-y+1)+3y=18 replace x value of equation 2 into equation 1
2y-2+3y=18
5y=20
y=4
solve for x by replacing y value into either equation.
x=-y+1
x=-4+1
x=-3
ASAP WILL GIVE BRAILIEST!!!
Answer:
Step-by-step explanation:
6^10 can also be written as
b.6^8.6^2
6^8+2
610
d.(6^10)^1
6^10*1
6^10
Answer:
B and d are correct because does are the only two that equal 6^10 ( or 60466176 )
Step-by-step explanation:
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!