SOLVE FOR T
ANSWER:
t = 58
Swap sides so that all variable terms are on the left hand side.[tex] \large\color{green}{ \tt{t - 44 = 14}}[/tex]
Add 44 to both sides.[tex] \large\color{green}{ \tt{t = 14 + 44}}[/tex]
Add 14 and 44 to get 58.[tex] \large\color{green}{ \tt{t = 58}}[/tex]
Hope It's Help
The equation
N(t) = 400/1 + 39e−0.7t models the number of people N in a town who have heard a rumor after t days.
How many people started the rumor?
Functions can be represented as equations, and equations can be represented as functions.
The number of people that started the rumor is 10
The function is represented as:
[tex]\mathbf{N(t) = \frac{400}{1 + 39e^{-0.7t}}}[/tex]
To calculate the number of people that started the rumor, we simply set t to 0.
So, we have:
[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{-0.7 \times 0}}}[/tex]
Evaluate the exponent of e
[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{0}}}[/tex]
Express e^0 as 1
[tex]\mathbf{N(0) = \frac{400}{1 + 39\times 1}}[/tex]
Multiply 39 and 1
[tex]\mathbf{N(0) = \frac{400}{1 + 39}}[/tex]
Add 1 and 39
[tex]\mathbf{N(0) = \frac{400}{40}}[/tex]
Divide 400 by 40
[tex]\mathbf{N(0) = 10}[/tex]
When t = 0, N(t) = 10
This means that 10 people started the rumor.
Hence, the number of people that started the rumor is 10
Read more about functions and equations at:
https://brainly.com/question/3468890
Help me asap plssssssss
Answer:
B) 20
Step-by-step explanation:
c = √b2 + c2 - 2bc·cos(A) = 20
Have a nice day! :-)
Please help me with this problem in math it's about evaluating numbers.Thank you if you help me :D
Answer:
5
Step-by-step explanation:
|-3| = 3
2 + 3 = 5
how many natural number less than 200 are divisible by 6 but not by 5
Answer:
27.
Step-by-step explanation:
200 / 6 = 33 1/3.
Numbers which are divisible by 5 and 6 are 30, 60, 90, 120, 150 and 180.
So the total is 33 - 6 = 27.
Answer:
27
Step-by-step explanation:
27. 33-6=27
Find the slope between:
(1,-2)
(2,-2)
Answer: the slope would be 0
Step-by-step explanation:
What is 1.8 divided by 2 show work.pls
Answer:
Step-by-step explanation:
0.9
Answer:
1.8÷2
18÷20
18÷20=0.9
1.8÷2=0.9
y = -2x + 1 4x + y = 9
9514 1404 393
Answer:
(4, -7)
Step-by-step explanation:
Maybe you want the solution to this system of equations.
About the easiest way to obtain it is to use a graphing calculator.
(x, y) = (4, -7)
_____
Additional comment
Since one of the equations gives an expression for y, it is a simple matter to substitute that for y in the other equation.
4x +(-2x +1) = 9
2x = 8 . . . . . . . . . . subtract 1 and simplify
x = 4
y = -2(4) +1 = -7 . . . use the first equation to find y
A boy rides away from home in an automobile at the rate of 28 km/h and walks back at the rate of 4 km/h. The round trip is x km. Write and simplify an expression that will represent the total time, in hours, the boy travelled. (distance=speed *time)
Answer:
Step-by-step explanation:
Then, the total time, which is 2 hours, is equal to x plus 7x, or 8x. So the amount of time he spends in the automobile is x=1/4 hour. The distance he travels in 1/4 hour at 28 mph is 7 miles.
pls mark brainliest
find the equation of the tangent whose slope is 3 and has the y-intercept 1
Answer:
Look, this should help.
Step-by-step explanation:
3x-8=3(1x-3)-2
whats the answer to that problem
Answer:
-3
Step-by-step explanation:
......................
Shane downloaded 5 songs in two minutes At this rate, how many songs can he download in ½ hour?
Answer:
75
Step-by-step explanation:
he can download 2.5 songs per minute so 2.5 x 30 is 75
Answer:
Shane can download 75 songs in half an hour.
Step-by-step explanation:
use a proportion;
5 x
--- = ---
2 30
30/2 = 15
15 x 5 = 75
x = 75
can anyone help please
Answer:
answer is 7.2
Step-by-step explanation:
0.9(15)-2.1(3)
13.5-6.3=7.2
Answer:
7.2
Step-by-step explanation:
0.9*15=13.5
2.1*3=6.3
13.5-6.3=7.2
Helena is snorkeling at a position
26.75 meters below sea level. She
descends 0.25 meters each minute
for 18 minutes. What is Helena's
position compared to sea level after
18 minutes?
Answer:
Helena is 31.25 meters below the sea level.
Step-by-step explanation:
0.25 x 18 = 4.5
26.75 + 4.5 = 31.25
please simplify plesase...............
Answer:
A
Step-by-step explanation:
yeah-ya............ right?
ANSWER:
[tex] \large\color{green}{ \tt{A. 1 / 10}}[/tex]
Solution Steps:
Least common multiple of 5 and 10 is 10. Convert 1/5 and 1/10 to fractions with denominator 10.
[tex]( \frac{2}{10} - \frac{1}{10} ) \times 3^{2} - \frac{4}{5} [/tex]
Since 2/10 and 1/10 have the same denominator, subtract them by subtracting their numerators.
[tex] \frac{2 - 1}{10} \times 3^{2} - \frac{4}{5} [/tex]
Subtract 1 from 2 to get 1.
[tex] \frac{1}{10} \times 3^{2} - \frac{4}{5} [/tex]
Calculate 3 to the power of 2 and get 9.
[tex] \frac{1}{10} \times 9 - \frac{4}{5} [/tex]
Multiply 1/10 and 9 to get 9/10.
[tex] \frac{9}{10} - \frac{4}{5} [/tex]
Least common multiple of 10 and 5 is 10. Convert 9/10 and 4/5 to fractions with denominator 10.
[tex] \frac{9}{10} - \frac{8}{10} [/tex]
Since 9/10 and 8/10 have the same denominator, subtract them by subtracting their numerators.
[tex] \frac{9 - 8}{10} [/tex]
Subtract 8 from 9 to get 1.
[tex] \large\color{green}\frac{1}{10} [/tex]
Hope It's Help
Factor
1
out of
2x+6.
.
The factored expression is
Answer:
the factored expression: 2(x + 3)
Si al doble de un número, se le adiciona 4 resulta 10 ¿Cuál es el número?
Answer:
3
Step-by-step explanation:
Hice una ecuación: 2x+4=10. Luego, reste 4 de cada lado para obtener: 2x = 6, lo que resulta en: x = 3.
hi please help me with part b and can you see if i did a correctly pls?
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
4. What is the domain? Explain. (1 point)
Answer:
20
Step-by-step explanation:
each time the numbers are up by 20 years
Which values are solutions to the inequality -3x - 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
Answer:
-2
Step-by-step explanation:
You would add 4 to 2 inorder to get 6, then divide by 3 to get -2
Pls help (Jesus loves u)
Answer: well if I am correct, then 9/12 is equal to 3/4 so you then have to subtract 1/12 from 9/12 so 8 (8/12) would be what was taken away. (if you were to simplify 8/12 I believe that would be 2/3)
-hope that helped-
let me know if I misunderstood anything or did something wrong
Calculate the slope given two points (2,-4) and (0, -8)
Answer:
Slope of 2
Step-by-step explanation:
and the lines equation is y=2x-8
What is -3(4x+8)/3(-2)
Answer:
8 x + 16
Step-by-step explanation:
math---way
7968 divided by 22 estimating
Answer:
363
Step-by-step explanation:
Expand the given expression
4(4x - 4)
Answer:
16x - 16
Step-by-step explanation:
Distribute the 4 to the other terms.
4(4x - 4) = 16x - 16
Ariel baked 16 with nuts on top and 7 brownies without nuts.
Answer:
I think the answer is 16:7Helppp pleasee ilyyyy if u do
Answer:
x = 115°
Step-by-step explanation:
The two angles are vertical, so x = 115°
Vertical Angles:Vertical Angles are two angles formed by the intersection of two lines. Angles that are non-adjacent to each other are congruent in degrees.
We can see that 115° and x° are formed by the intersection of two lines, and they are non-adjacent (don't share a common side) which makes them congruent in degrees.
x = 115°
-Chetan K
Which of the following equations has one real solution?
2x2+x+3=0
x2+5x−3=0
x2−5x+4=0
4x2−12x+9=0
Answer:
4x2−12x+9=0
Step-by-step explanation:
The equation, 2x2+x+3=0, does not have a solution
The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37
The equation, x2−5x+4=0, equal 1 and 4
The equation, 4x2−12x+9=0, equals only 3/2
Hope this Helps
A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given by:
[tex]S=\frac{c}{x^2} +\frac{k}{(d-x)^2}[/tex]
where c and k are positive constants which depend on the quantity of smoke each stack is emitting. If k=8c, find the point on the line joining the stacks where the concentration of the deposit is a minimum. xmin= ? miles
Answer:
d/3
Step-by-step explanation:
For k = 8c, the concentration is ...
S = c/x^2 + 8c/(d -x)^2
The minimum of the function will be found where its derivative is zero. The derivative with respect to x is ...
S' = -2c/x^3 +(-2)(8c)(-x)/(d -x)^3
We are interested in the value of x that makes this zero.
0 = -2c/x^3 +16c/(d -x)^3 . . . . . simplify slightly, set S'=0
0 = (-2(d -x)^3 +16x^3)/(x(d -x))^3 . . . . . combine terms, divide by c
0 = d^3 -3d^2x +3dx^2 -x^3 -8x^3 . . . . multiply by (x(d-x))^3/(-2)
9x^3 -3dx^2 +3d^2x -d^3 = 0 . . . . . simplified cubic
Factoring by grouping, we have ...
(9x^3 -3dx^2) +(3d^2x -d^3) = 0
3x^2(3x -d) +d^2(3x -d) = 0
(3x^2 +d^2)(3x -d) = 0
The solution will be found where the second of these factors is zero:
3x -d = 0
x = d/3
The concentration of the deposit is a minimum at x = d/3 miles.
_____
The graph shows the minimum is x = 1/3 when d = 1.
express the function graphed on the axes below as piecewise function
for x<-4
for x>2
Answer:
<--------o o------------->
-4 2
Step-by-step explanation:
Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.
From there, we shade the area on the graph that is true to the function. So, we can test points.
First we will test x=-5
-5<-4 --> this is true, so we will shade to the left of x=-4
Now test x=0
0<-4 --> this is false
0>2 --> this is also false, so the area between the two open dots will not be shaded
Now test x=3
3>2 --> this is true, so we will shade to the right of x=3
The function f(x) =59(x − 32) can be used to determine the temperature in °C when the temperature is x°F. Find the inverse function that can be used to determine the temperature in °F when the temperature is x°C.
Answer:
[tex]F = ( \frac{9}{5}C ) + 32[/tex]
with F = xF and C = xC
=> f(x) = (9/5)x + 32
I'm sorry I can't mark the degree symbol
Step-by-step explanation:
[tex]f(x) = \frac{5}{9}(x-32) \\xC = \frac{5}{9}(xF-32) \\xC * \frac{9}{5} = \frac{5}{9}(xF-32) * \frac{9}{5} \\xC * \frac{9}{5} + 32 = xF - 32 + 32 \\\\xC * \frac{9}{5} + 32 = xF[/tex]