Answer:
Step-by-step explanation:
0.5^(t/5730) = 0.30
2^(-t/5730) = 0.30
-t/5730 = log₂0.30
t = -5730 log₂0.30 ≈ 9953 years
Aviation:
An airplane goes down from 42,000 feet to 18,000 feet in 12 minutes. What is the rate of change of the altitude in feet per minute?
Change in altitude:
42,000 - 18,000 = 24,000 feet
Rate of change = 24,000 feet / 12 minutes = 2,000 feet per minute
Because the plane was going down, the rate of change would be negative.
The rate would be -2,000 feet per minute.
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer. There are 12 more orange popsicles than grape popsicles. How many grape popsicles are there in Reid's freezer?
Answer:
3 grape popsicles
Step-by-step explanation:
Let us represent
Orange popsicles = x
Grape popsicles = y
There are 5 times as many orange popsicles as grape popsicles in Reid's freezer.
x = 5y ..... Equation 1
There are 12 more orange popsicles than grape popsicles.
x = y + 12..... Equation 2
Hence, we substitute 5y for x in Equation 2
5y = y + 12
5y - y = 12
4y = 12
y = 12/4
y = 3
Note that, Grape popsicles = y
y = 3 grape popsicles.
Therefore, the number of grape popsicles that are there in Reid's freezer is 3 grape popsicles
Answer:
17b popsicles
Step-by-step explanation:
Determine the slope between the points ( 4, 5 ) and 3, -1 )
Answer:
6
Step-by-step explanation:
What value(s) of x will make x2 = 36 true? O A. 8 and -8 O.B. 6 C. 6 and -6 D. 6
Answer:
C and D
Step-by-step explanation:
If you mean x^2 (x squared), then C and D are both right.
During Marta's last youth league soccer game, the starting players for each team had varied heights. The following is a list of their heights in inches.
61, 59, 64, 67, 60, 63, 60, 58, 63, 58, 64, 65, 60, 64, 63, 59, 65, 58, 66, 59, 63, 56
What is the median height for a starting player on the two teams?
HELP PLEASE!! WILL GIVE BRAINLIEST!!!
Answer: y = 3x + 1
Step-by-step explanation:
3 is the slope and 1 is the y-intercept
Four angles are formed by the intersection of the diagonals of this quadrilateral. Which statement is NOT true?
Answer:
Step-by-step explanation:
the answer is m<1 = m<2
The temperature in the
morning was 45°. Later in
the afternoon, the
temperature was measured
to be 62°. What was the
percent change in
temperature? (Round to
the nearest percent.)
Answer:
8 % i think
Step-by-step explanation:
45 d ..... 62 d
0.45
62 - 45 = 17
17 x 0.45= 7.65
can anyone help me asap? Thank you
Answer:
Step-by-step explanation:
v
8
IZ
13
10
U
What is the LCM (least common multiple) of 2 and 7
Answer:
14
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
The greatest common multiple of 2 and 7 is 1, because they are both prime numbers (numbers that cannot be divided by anything other than one or themselves).
Why bother with the greatest common multiple?
There's a very sneaky formula you can do to calculate the LCM with this.
[tex]lcm(a, b) = \frac{|a * b|}{gcd(a, b)}[/tex]
where lcm(a, b) = the least common multiple of integers a and b (1)
a = integer a (2)
b = integer b (7)
gcd(a, b) = greatest common divisor of integers a and b
So let's use it, we have all the available numbers.
[tex]lcm(a, b) = \frac{|2 * 7|}{1} = 14[/tex]
12.) Rachel is comparing the cost of two parking garages. Garage A charges a flat fee of $6 to park plus $0.50 per hour.
Garage B charges a flat fee of $2 to park plus $1 per hour. Write an equation then find after how many hours will the
cost at garage A and garage B be the same? What will that cost be? (4 points total)
Answer:
The equation: 6 + 0.5x = 2 + 1x
How many hours till the cost is the same: 8 hours
What will the cost be: $10
Step-by-step explanation:
6 + 0.5x = 2 + 1x
subtract 0.5x from both sides
6 = 2 + 0.5x
subtract 2 from both sides
4 = 0.5x
divide both sides by 0.5
x = 8
Lets check our work:
Garage A:
6 + 0.5(8)
6 + 4 = 10
Garage B:
2 + 1(8)
2 + 8 = 10
After 8 hours the price for both garages will be equal at $10
Lola's hair today is 24" long. It grows 1.5" per month. She is a pretty tall girl for her age, about 60" right now! Her brother has long hair too. His hair is about 12" long. What does the y stand for?
If I'm correct, you're asking which variable is the dependent variable y from the question
Answer and explanation:
The equation can be modelled:
y= 1.5x
Where y is the current length of the hair
x is the number of months of hair growth
We can see from the equation therefore that y is a dependent variable that depends on x the independent variable, the number of months, to get a value. In other words given that her hair grows at a constant rate of 1.5 inches per month, her hair length is based on number of months x of growth in inches of hair.
Johnny read an entire series of books with a total of 5,336 pages. In the equation below, d is the number of days it took Johnny to read the book series. 5,336 = 29d What is the unit rate in the equation?
Answer:
29 pages
Step-by-step explanation:
Evaluate of the expression when b = -2 and c = 3 ?
9b + 8C + 1 - 6b - 5C - 6.
The value when b = -2 and c = 3 is ?
Help please help me
Answer:
Step-by-step explanation:
Range = maximum value - minimum value
= 25 - 6 = 19
Option D is the correct answer
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answer:
A.21
Step-by-step explanation:
We can use trigonometry to slove for sides in this triangle...
Using the 60 degree angle...we can solve for x.
We are dealing with adjacent and opposite sides, so we use the tangent function in the calculator.
And since we're using tangent, we have to use opposite/adjacent
We have tan60=x/7sqrt3-multiply the adjacent side(7qrt3) to the other side,
and we have 7sqrt3tan60=x--enter this in to you're calculator, and you should
get an answer of 21
ok I don't really know how you would begin to solve this question
Answer:
y = 40.96
Step-by-step explanation:
Given
4 = [tex]\frac{y}{10.24}[/tex] ( multiply both sides by 10.24 to clear the fraction )
4 × 10.24 = y , that is
y = 40.96
Can someone help me with this please .
I’ll mark you as a brainliest.
Step-by-step explanation:
hey ya go, mate anyways I switched to PC and I find these yw
i need to find the measure of angle L
Answer:
Angel L = 52°
Step-by-step explanation:
In ∆ JKL,
J = 8x + 6°
K = 2x + 2°
L = 4x+ 4°
L =?
Let's solve this question with the help of Angle Sum Property of a Triangle (ASPT).
We know that all angles in a triangle add up to 180°.
180 = ∆JKL
180 = J + K + L
180 = (8x + 6) + (2x + 2) + (4x + 4)
180 = 8x + 6 + 2x + 2 + 4x + 4
180 = 8x + 2x + 4x + 6 + 2 + 4
180 = 14x + 12
14x = 180 - 12
14x = 168
x = 168/14
x = 12°.
Now, L° = 4x + 4
= 4(12) + 4
= 48 + 4
= 52°.
pls help me this is hard and i dont wanna fail :(
Answer:
i got -252
remember pemdas! i dont think youll fail good luck :D
There are 12 rolls of film in a box, and 4 are defective. Two rolls are to be selected, one after the other, sampling without replacement. What is the probability of selecting two defective rolls?
Group of answer choices
None of the answers is correct.
7/23
12/132
16/144
1/4
12/144
Using the hypergeometric distribution, it is found that the probability is 12/132
------------------------------------
The rolls are chosen from a sample without replacement, which means that the hypergeometric distribution is used to solve this question.
------------------------------------
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
------------------------------------
12 rolls means that [tex]N = 12[/tex]4 defective means that [tex]k = 4[/tex]2 are chosen, which means that [tex]n = 2[/tex]------------------------------------
What is the probability of selecting two defective rolls?
This is P(X = 2). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,4) = \frac{C_{4,2}*C_{8,0}}{C_{12,2}} = \frac{4 \times 3}{12 \times 11} = \frac{12}{132}[/tex]
12/132 is the probability.
A similar problem is found at https://brainly.com/question/24229905
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:
Simplify the following Complex Numbers.
\frac{1-3i}{2+5i}
2+5i
1−3i
Answer:
{1-3i}{2+5i}
Step-by-step explanation:
1(2+5i)-3i(2+5i)2+5i-6i+15i22+5i-6i+15(-1)2+5i-6i-152-15+5i-6i-13-i (answer)Answer:
[tex]\frac{-13 - 11i}{29}[/tex]
Step-by-step explanation:
You need to multiply the numerator and denominator by the conjugate of
2 + 5i, which is 2 - 5i
So, [tex]\frac{(1 - 3i)(2 - 5i)}{(2 + 5i)(2 - 5i)} = \frac{2 - 11i - 15}{4 +25} = \frac{-13 - 11i}{29}[/tex]
Factor out the gcf
-240c^2+ 30c^5+ 18c^4
Answer:
6c^2(-40 + 5c^3 + 3c^2)
Step-by-step explanation:
These three terms have the common factor c^2. Thus:
-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).
Recognizing that 6 is common to all three terms inside the parentheses, we get:
6c^2(-40 + 5c^3 + 3c^2) This is as far as factoring of this expression can be taken.
7 1/5 improper fraction
Answer:
12/5
Step-by-step explanation:
7 1/5=
Answer:
[tex] \frac{36}{5} [/tex]
Step-by-step explanation:
consider downloading photomath
#10) Karen's mailbox is 30 feet from her front door. What is this distance in
meters?
Answer:
9.14400m
Step-by-step explanation:
They aren’t asking for the total cost, right? Just the commission?
Yes there asking for just commission and the answer is 46.05
arrange the following and ascending and descending order first one is 1 by 12 1 by 23 1 by 5 1 by 7 1 by 50 1 by 9 1/17
if tell the right answer I will give you brainleast
Answer:
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
Step-by-step explanation:
We are given that
1/12,1/23,1/5,1/7,1/50,1/9,1/17
We have to arrange the numbers in ascending and descending order.
LCM of 12,23,5,7,50,9,17
[tex]23\times 5\times 12\times 7\times 50\times 17\times 9[/tex]
=73899000
[tex]\frac{1}{12}\times \frac{6158250}{6158250}=\frac{6158250}{73899000}[/tex]
[tex]\frac{1}{23}\times \frac{3213000}{3213000}=\frac{3213000}{73899000}[/tex]
[tex]\frac{1}{5}\times \frac{14779800}{14779800}=\frac{14779800}{73899000}[/tex]
[tex]\frac{1}{7}\times \frac{10557000}{10557000}=\frac{10557000}{73899000}[/tex]
[tex]\frac{1}{50}\times \frac{1477980}{1477980}=\frac{1477980}{73899000}[/tex]
[tex]\frac{1}{9}\times \frac{8211000}{8211000}=\frac{8211000}{73899000}[/tex]
[tex]\frac{1}{17}\times \frac{4347000}{4347000}=\frac{4347000}{73899000}[/tex]
14779800>10557000>8211000>6158250>4347000>3213000>1477980
Therefore,
Ascending order is given by
1/50<1/23<1/17<1/12<1/9<1/7<1/5
Descending order is given by
1/5>1/7>1/9>1/12>1/17>1/23>1/50
Solve for x
-18 = 9 - 3x
Answer:
3x=9+18
=27
x =27÷3
x=9
the answer of x is 9
Rewrite the equation so that the x term is on the left:
9 - 3x = -18
Move the number to the right and change the sign:
-3x = -18 - 9
-3x = -27
Change the sign of both terms:
3x = 27
Move the 3 to the right and change the sign:
x = 27 ÷ 3
x = 9 is your answer.