Answer:
Every five minutes, the shuttle loses 1.6km in altitude. This can be written in the equation y = [tex]\frac{1.4}{-5}[/tex]x + 100.It would have been 100.56 km above the earth. You can do this by plugging in -2 into the equation above. You have to use -2 because it is 2 minutes before tracking started.It will take around 357 minutes for it to reach the ground. Set the equation equal to 0 and solve for x which represents the time taken.Step-by-step explanation:
1. change in y over change in x.
[tex]\frac{100-98.6}{0-5}[/tex] = [tex]\frac{1.4}{-5}[/tex]
This becomes your slope.
the y-intercept is 100 because at x = 0, y= 100.
So plug these values into y = mx + b and you get y = [tex]\frac{1.4}{-5}[/tex]x + 100.
2. If the line starts at x = 0, then if you want to get a value for 2 minutes prior you have to use -2 because 0 - 2 = -2.
y = [tex]\frac{1.4}{-5}[/tex](-2) + 100
Set it equal to zero and solve algebraically. The answer should be 100.56.
3. If we want to see how many minutes it takes to get to an altitude of 0, we have to make y = 0 and solve for x. This is because we know that y will be 0 but we don't know how long it takes.
0 = [tex]\frac{1.4}{-5}[/tex]x + 100
Solve algebraically and you should get an answer around 357.
Albert’s father is 24 years older than Albert. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation:
1What is the simple interest on #25 000 for 3years at 5% per annum?.
#28 750
#3 750
#2 875
#375
Answer:
3750
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )
Here P = 25000, R = 5 and T = 3 , thus
I = [tex]\frac{25000(5)(3)}{100}[/tex]
= [tex]\frac{375000}{100}[/tex]
= 3750
for the straight line x=2y-3, what are the slope and the y-intercept
Answer:
slope = 2
y-intercept = (0,-3)
Answer: Rearrange the equation to get m= 1/2, b= 3/2
Step-by-step explanation:
Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?
7 x + 4 minus x minus 2. 7 x minus x + 4 minus 2. (7 minus 1) x + 4 minus 2. 6 x + 2.
A.commutative, distributive, and addition
B.commutative, associative, and addition
C.associative, distributive, and addition
D.distributive, associative, and commutative
What would happen to the particles in liquid if you decrease the temperature?
A) The particles would speed up
B) The particles would slow down
C) The particles would slow down and then speed up really fast
D) The particles would turn into a gas
Answer:
would slow down
I am nt sure
Six less than a number t
Answer:
Yeah i guess
Step-by-step explanation:
I'm just playing t-6
Will give brainliest if correct.
Answer:
Step-by-step explanation:
hi
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers
cost $0.05 each. How much would Mrs. Algebra's single order be? Use the expression below
to calculate the total.
Given :
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers cost $0.05 each.
To Find :
How much would Mrs. Algebra's single order be.
Solution :
Total price paid by Mrs. Algebra = Price of pencil + price of ruler + price of calculator + price of eraser.
T = $(0.10 + 0.49 + 12.99 + 0.05)
T = $13.63
Therefore, Mrs. Algebra's single order cost is $13.63 .
Hence, this is the required solution.
For the function f(x) =
= X + 5, what is the ordered pair for the point on the graph
when x = 4?
Answer:
F=9
Step-by-step explanation:
helllllpppppppp plzpzlzpzlz
Answer:
b
Step-by-step explanation:
my teacher went over the same on with me
Write in expanded form the 3-digit number that has 5 tens, m units, and 2 more hundreds than units.
Step-by-step explanation:
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + 1,000 + 400 + 0 + 5
Answer:
2x100+mx100+5x10+mx1
Step-by-step explanation:
This is correct. TRUST ME!! pls if wrong.
Ningun número complejo es igual a su conjunto. Verdadero o falso
Answer:
numbro 4
Step-by-step explanation:
Josh went to a local barber to get his haircut. It cost $18 for the haircut. Josh tipped the barber 15%. What was the total cost of the haircut including tip?
$20.70
Step-by-step explanation:
15% of 18 is 2.7 so 18 + 2.7 = 20.70
Find the exact solution to the equation 10-log8(x+2)=9
Answer:
-0.89269063 ...
Step-by-step explanation:
Put it in the calculator
у=х+ 1
2x+3y= 5
HELP ME
Answer:
x=2/5
Step-by-step explanation:
2x+3(x+1)=5
2X+3X+3=5
5x+3=5
5x=2
x=2/5
Which statement can be represented by the equation 2/5 x + 9 = 9?
______________________________________________________
A) 2/5 of 9 is a number.
B) 2/5 of x is 9.
C) 9 > 2/5 of x is 9.
D) x + 9 is the same as 2/5 of 9.
______________________________________________________
A spinner has 8 equal sectors with different letters for each sector, as shown below:
A spinner with 8 equal sectors is shown. The sectors are labeled B, Y, G, P, O, V, M, and R.
Hamlet spins the spinner 13 times, and it stops at the letter R 9 times. If he spins the spinner a 14th time, what is the theoretical probability that this time it will stop at the letter R?
Answer:
The theoretical probability of obtaining letter 'r' at the 14th spin is:
1/8
Step-by-step explanation:
It is given that:
A spinner has 8 equal sectors with different letters for each sector.
The sectors are labeled b, y, g, p, o, v, m, and r.
Hamlet spins the spinner 13 times, and it stops at the letter r 9 times.
We are asked to find the theoretical probability that we will get letter r at the 14th spin.
The theoretical Probability is given as the ratio of number of favorable outcomes to the total number of outcomes.
Hence, the theoretical probability of obtaining letter 'r' at the 14th spin is:
( As there are a total of 8 outcomes( or 8 sectors) out of which there is only one sector which is red)
Hope this helped
HELP ASAP!!
Adam sold 6 of wrapping paper and 9 wrapping paper for a total of $219. Jane sold 12 wrapping paper and 13 rolls of SHINY wrapping paper for a total of $353. Find the cost each of one roll of PLAIN wrapping paper and one roll of SHINY wrapping paper .
Answer:
The answer is $14.6 for the plain paper and $14.12
Step-by-step explanation:
I think i'm probably wrong but 6+9= 15 so 219 divided by 15 is 14.6 so thats answer 1 and 12+13=25 and 353 divided by 25 is 14.12
:p sorry if im incorrect
Answer: The first answer for 6 of wrapping paper and 9 wrapping paper is $7.30. The second answer for 12 wrapping paper and 13 rolls of SHINY wrapping paper is $4.38.
Step-by-step explanation:
only simplify, don’t solve please. thank you!
Answer:
4x
Step-by-step explanation:
the -8 and +8 cancel out
x and 3x are both positive so add them
you're left with 4x
Simplifying is the same as solving this question. I'll give steps instead.
x - 8 + 3x + 8
x + 3x - 8 + 8 (Arrange the equation)
(x + 3x) (- 8 + 8) (Parentheses the like terms together)
(4x) (0) (Solve)
4x (Simplified)
Cheers!
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r? 2 4 15 27
Answer:
the actual answer is B.) 4
Step-by-step explanation:
just took the topic test
Answer:
B
Step-by-step explanation:
If k(x) = 2x² -3.Vx, then k(9) is
Answer:
159
Step-by-step explanation:
k (9) = (2 * [tex]9^{2}[/tex]) - 3
= (2 * 81) - 3
= 162 - 3
= 159
Estimate the amount of the tip by rounding the bill to the nearest 10 dollars before calculating
15% tip on a bill of $483.82
the amount of the tip is approximately $_.
Answer:
My estimate is 73
Step-by-step explanation:
15% ?
____ ______
100 483.82
Steps:
1.First multiply 15 and (483.82).You should get (7257.3).
2.Next you have to divide 7257.3 and 100 which gets you 72.573.
3.Estimate:Round 72.573
73
Hopes this helps!!
HELP ILL BRAINLIST THE FIRST ONE TO ANSWER
Answer:
first! Plz brainliest
Step-by-step explanation:
y=-6x+334
Answer:
y=-6x+334
Step-by-step explanation:
A missile is launched along a path determined by the function below, where f(x) is the height of the missile in feet x seconds after the launch.
A plane is flying nearby at a height of 650 feet.
Is the plane in danger of being hit by the missile?
Why or why not?
f(x)=-2x^2+72x
Answer:
The plane will be fine.
Step-by-step explanation:
[tex]f(x) =-2x^{2}+72x\\650=-2x^{2}+72x\\2x^{2}-72x+650=0\\[/tex]
There are no real solutions.
Sarah has $400 in a savings account at the beginning of the summer. She wants to have at least $100 in the account by the end of the summer. She withdraws $20 each week for fun. How many weeks can Sarah withdraw money from her account?
Answer:
15
Step-by-step explanation:
400 - 100 = 300
300 ÷ 20 = 15
$132.75 discounted 40%
Answer:
$79.65
Step-by-step explanation:
Answer:
$79.65
Step-by-step explanation:
Discount: $53.10
Final Price: $79.65
1) 30% of the 210 7th graders at CBJ said they were planning to leave town for
Spring Break. How many students are NOT planning on leaving town? *
Answer:
30% of 210 is 63
Step-by-step explanation:
Answer:
209.7
Step-by-step explanation: i dont know what ur really asking for which i understand all u have to do simplify the expressions
-4(-5x+6) in distributive property
Answer:
20x - 24
Step-by-step explanation:
-4(-5x + 6)
20x - 24
What will be the answer for x?
Answer:
x=8
Step-by-step explanation:
5x+6+134=180
5x=40
x=8
Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an initial population Upper P 0 requires n units of time to triple, then the function P(t)equals Upper P 0 (3 )Superscript StartFraction t Over n EndFraction models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].
Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) P(t) = 280 insects
c) t = 74 days
d) [tex]A(t)=50e^{0.037t}[/tex]
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) In t = 47 days:
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]
[tex]P(47)=50(3)^{1.567}[/tex]
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
[tex]750=50(3)^{\frac{t}{30} }[/tex]
[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]
[tex](3)^{\frac{t}{n} }=15[/tex]
Using the property Power Rule of logarithm:
[tex]log(3)^{\frac{t}{30} }=log15[/tex]
[tex]\frac{t}{30}log(3)=log15[/tex]
[tex]t=\frac{log15}{log3} .30[/tex]
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
[tex]A(t)=A_{0}e^{kt}[/tex]
[tex]3A_{0}=A_{0}e^{30k}[/tex]
[tex]3=e^{30k}[/tex]
Use Power Rule again:
[tex]ln3=ln(e^{30k})[/tex]
[tex]ln3=30k[/tex]
[tex]k=\frac{ln3}{30}[/tex]
k = 0.037
Equation for exponential growth will be:
[tex]A(t)=50e^{0.037t}[/tex]