Using an exponential function, it is found that it takes 20 days for everyone in the town to catch the virus.
What is an exponential function?An exponential function is given as follows:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.For this problem, we have that:
On the first day, one person has the virus.On the second day, the first person transmitted the virus to another person, hence two people have the virus.On the third day, each of the two people transmitted the virus to another two, hence four people have the virus.From this, we get that the parameters are given as follows:
a = 1, b = 2.
Hence the function for the number of contaminated people after t days is given by:
[tex]f(t) = 2^t[/tex]
Now, we have to solve for t when f(t) = 700000, hence:
[tex]2^t = 700000[/tex]
[tex]\log{2^t} = \log{700000}[/tex]
[tex]t\log{2} = \log{700000}[/tex]
t = log(700000)/log(2)
t = 19.4, rounded to 20.
It takes 20 days for everyone in the town to catch the virus.
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What’s 2848 - y = 373
Answer:
Y= 2475
Step-by-step explanation:
We move 2848 across the = sign so we gotta change the sign
so we going to write it as
-Y= -2475
we want to keep the Y by it self so we going to divide -1 both side and we gets Y = 2475
Answer:
Y= 2475
We move 2848 across the = sign so we gotta change the sign
-Y= -2475
def didnt copy this ;-;
If the surface area of this box was 680in?, what
would the value of h have to be?
In cuboid , h = 14.5 is the value of h have to be .
Exactly what is a cuboid?
A cuboid is a solid shape or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a rectangular prism. A cube is a cuboid with six square faces.surface area = 2 ( lh + lw + hw) = 680
2( 10h + 10(10) + h(10) = 680
20h + 100 + 20h = 680
40h = 680 - 100
40h = 580
h = 14.5
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The endpoints of AB are A(-8,-6) and B(-3,-1). Point C lies on Ab and is 3/5 of the way from A to B. What are the coordinates of point C?
Answer: C(-6.125,-4.125)
Step-by-step explanation:
[tex]\displaystyle\\A(-8,-6)\ \ \ \ B(-3,-1)\\Let\ \frac{3}{5}=\lambda \\Hence,\\\boxed {x_C=\frac{x_1+x_2\lambda}{1+\lambda} }\ \ \ \ \ \ \boxed {y_C=\frac{y_1+y_2\lambda}{1+\lambda} }\\\\x_1=-8\ \ \ \ x_2=-3\\\lambda=\frac{3}{5} \\\\\lambda=\frac{0.6*5}{5}\\\\\lambda=0.6\\\\x_C=\frac{-8+(-3)*0.6}{1+0.6} \\\\x_C=\frac{-8-1.8}{1.6} \\\\x_C=\frac{-9.8}{1.6} \\\\x_C=-\frac{9.8*10}{1.6*10} \\\\x_C=-\frac{98}{16} \\\\x_C=-6.125\\\\\\[/tex]
[tex]\displaystyle\\y_1=-6\ \ \ \ y_2=-1\ \ \ \ \lambda=0.6\\\\y_C=\frac{-6+(-1)*0.6}{1+0.6} \\\\y_C=\frac{-6-0.6}{1.6}\\\\y_C=\frac{-6.6}{1.6} \\\\y_C=-\frac{6.6*10}{1.6*10} \\\\y_C=-\frac{66}{16} \\\\y_C=-4.125[/tex]
[tex]Thus,\ C(-6.125,-4.125)[/tex]
Which is the absolute value of - 26/91 in simplest form?
Answer:
(2/7)
Step-by-step explanation:
As far as I know, an absolute value number is never negative. So you would do |-26/91| which would give you the positive fraction of (2/7). I don't think the fraction could get any simpler than that.
What if? if the height of the pyramid were increased to 563 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increas
The pyramid's volume will increase by 11.79%.
What is a pyramid?It has a polygonal base.A pyramid has n + 1 vertices, n + 1 faces, and 2n edges with an n-sided base.A Pyramid's volume is calculated as:
[tex]V=\frac{B h}{3}[/tex]
Where:
B denotes the base area.h stands for height.When the height increases from 458 to 512, the initial and final volumes are as follows:
[tex]\begin{aligned}&V_1=\frac{458}{3} b \\&V_2=\frac{512}{3} b\end{aligned}[/tex]
The percentage difference is then calculated as follows:
[tex]\% \text { Change }=\frac{V_2-V_1}{V_1} \times 100 \%[/tex]
We obtain:
[tex]\% \text { Change }=\frac{512 b / 3-458 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=\frac{54 b / 3}{4586 / 3} \times 100 \%\\\% \text { Change }=0.1179 \times 100 \%\\\% \text { Change }=11.79 \%[/tex]
Therefore, the pyramid's volume will increase by 11.79%.
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The correct question is given below;
If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase
Claire has $300 in an account. She decides she is going to take out half of what's left in
there at the end of each month.
Recursive:
Explicit:
The recursive function is Tn = 1/2T(n - 1) where T1 = 300
How to determine the recursive and the explicit functions?Recursive function
Here, we have
She decides she is going to take out half of what's left in there at the end of each month.
This means that
Tn = 1/2T(n - 1)
Hence, the recursive function is Tn = 1/2T(n - 1) where T1 = 300
Explicit function
Here, we have
Initial, T1 = 300
Rate, r = 1/2
The explicit function is represented as
Tn = T1 * r^(n-1)
So, we have
Tn = 300 * (1/2)^(n-1)
Hence, the explicit function is Tn = 300 * (1/2)^(n-1)
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1) 3 (x - y)² - 10 (x-y) + 8
Answer:
[tex](3x-3y-4)(x-y-2)[/tex]
Step-by-step explanation:
Given expression:
[tex]3(x-y)^2-10(x-y)+8[/tex]
Let u = (x - y):
[tex]\implies 3u^2-10u+8[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=3 \cdot 8=24[/tex]
[tex]\implies b=-10[/tex]
Therefore, the numbers are: -6 and -4.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 3u^2-6u-4u+8[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3u(u-2)-4(u-2)[/tex]
Factor out the common term (u - 2):
[tex]\implies (3u-4)(u-2)[/tex]
Substitute back in u = (x - y):
[tex]\implies (3(x-y)-4)((x-y)-2)[/tex]
Simplify:
[tex]\implies (3x-3y-4)(x-y-2)[/tex]
e^(iπ) = ?
e^(iπ) + 1 = ?
Nancy rode her bike for 15 4/5 miles on Saturday and Sunday she rode 0.7 fewer miles how many miles did she ride on Sunday HW
What is the value of x − 7 if x = −18?
Answer:
x - 7 = -25
Step-by-step explanation:
The value of x is,
→ x = -18
Then the value of x - 7 will be,
→ x - 7
→ -18 - 7
→ -25
Hence, the answer is -25.
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
1/3
Step-by-step explanation:
Gradient or slope can be found using the point-slope formula:
[tex]y-y_{1} =m(x-x_{1} )[/tex]
We can rearrange the equation to find slope (m) like so:
[tex]m=\frac{y-y_{1} }{x-x_{1} }[/tex]
To use this formula we need to find two well-defined points and use their coordinates.
Let's use (0,2) and (3,3) because they are clear points on the graph.
(0,2) will represent [tex]x[/tex] and [tex]y[/tex] in the equation respectively, and (3,3) our other point will represent [tex]x_{1}[/tex] and [tex]y_{1}[/tex].
Now we just need to plug the numbers into the equation:
[tex]m=\frac{2-3}{0-3} \\\\m=\frac{-1}{-3} \\m=\frac{1}{3}[/tex]
The gradient of the graph is 1/3.
Hope this helped!
I need help, will somebody please help me and FAST! The question is in the picture
Answer:
I'm gonna solve it in words each day the snail climbs 3 feet but drops down to 2 feet ( 3-2 = 1) let the days it will take be equal to Xwe divide 10 feet by the feet reached a day, it will become:10/1 = X
Cross multiply
X = 10
so it would take 10 days for the snail to reach 10 feet Hope this helpsace that homeworkGood luck ✅please need this asap!
Answer:
down below
Step-by-step explanation:
Top left: X is greater than or equal to 3. Top right: X is less than or equal to 3. Bottom left: X is greater than 3. Bottom right: X is less than 3.
The greater than or equal to sign and the less than or equal to sign has a closed circle because it is marking the point and moving forward or back. Ex: less than or equal to 3. It would be a closed circle because it is the specific point and what ever is beyond or behind it. The less than or greater than sign would have a closed circle because it is only what is beyond or behind the certain number.
Hope this helps! :)
Your friend eats 25 strawberries less than 5 times the
amount of strawberries you do. If you eat 10 strawberries,
find out how much your friend eats?
Answer:
25
Step-by-step explanation:
The required amount of strawberries eaten by the friend is given as 25 strawberries.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25
Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.
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how do put this 7+2x=11+5x
Flying to Houston with a tailwind a plane averaged 107 mph. On the return trip the plane only averaged 85 mph while flying back into the same wind. Find the speed of the plane in still air and the speed of the wind
The wind speed and plane speed is 11 and 96 mph.
It is required to find the speed of the plane in still air and the speed of the wind.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let plane speed be "p".
Let wind speed be "w".
According to given question we have,
p + w = 107 mph
p - w = 85 mph
By the method of elimination we get,
2p = 192
p = 96 mph
The plane speed is 96 mph.
Solve for "w":
p + w = 107
96 + w = 107
w = 11 mph
The wind speed is 11 mph.
Therefore, the wind speed and plane speed is 11 and 96 mph.
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A basketball team raised $200 to purchase new jerseys. there are 8 people on the team and jerseys cost $22 each. with the extra money, the team would like to purchase socks at $5 per pair.
write an inequality that describes the situation and solve it. what is the greatest number of pairs of socks the team can purchase? explain your answer.
The inequality that describe the situation is (22 x 8) + (5 x S) = 200 and with the money left over, the team will be able to buy 4 pairs of socks, and there will be $4 left over.
Inequality:
Inequality means relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
A basketball team raised $200 to purchase new jerseys.
There are 8 people on the team and jerseys cost $22 each.
With the extra money, the team would like to purchase socks at $5 per pair.
Here we need to find the inequality that describes the situation and solve it. And also we need to find the greatest number of pairs of socks the team can purchase.
Let S be the number of Socks they brought.
Based on the given details,
The following inequality must be raised:
=> (22 x 8) + (5 x S) = 200
When we solve it,
=> 176 + 5S = 200
=> 5S = 200 - 176
=> 5S = 24
=> S = 24 / 5
Here the S has the value of 4 and the remaining is 4.
Therefore,
with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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The temperature was 71 degrees on thursday at 6 am. the temperature rose 4 degrees per hour and for several hours. at what time did the temperature reach 83 degrees
At 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
As given in the question,
On Thursday at 6 am temperature = 71 degrees
Rise in temperature = 4 degrees per hour
Temperature at
7 am = 71+ 4
= 75 degrees
8am = 75 + 4
= 79 degrees
9am = 79 +4
= 83 degrees
Therefore, at 6 am temperature was 71 degrees and rises 4 degrees per hour then at 9 am temperature reach 83 degrees.
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cuál es el doble de 5.85
Answer:
11.7
Step-by-step explanation:
5.85 * 2 =11.7
Parallelogram be is a scaled copy of parallelogram U what is the value of w ( please answer ASAP I'm in a rush)
Mrs gerry used the following square to teach her class about quarters. the squares is divided into four equal parts.the class disagreed with their teacher that each part represents a quarters.name the misconception of the class and correct the misconception
Consider a square and divide it into four equal parts. Each part of the square is called as a quarter.
A quarter of a square is one out of four of its equal parts . In a square there are four quarters or four fourths in a whole.
From the figure, the shaded portion represents one quarter of the square i.e., [tex]\frac{1}{4} th[/tex] of a square.
If a quadratic function has the rule f(x)=(x-h)^2+k, what will cause a vertical translation?
Option 1: Changing the value of h
Option 2: Changing the value of k
Please help me as soon as possible, thanks.
to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
What will cause a vertical translation?
First, remember that for a general function f(x) we define a vertical translation of N units as:
g(x) = f(x) + N
If N > 0, the translation is upwards.If N < 0, the translation is downwards.In this case, we have the function:
f(x) = (x - h)^2 + k
If we apply a vertical translation of N units, then we get the new function:
f'(x) = (x - h)^2 + k + N
Now we have two constants, we can define:
k ' = k + N
Then the new quadratic function is:
f'(x) = (x - h)^2 + k'
So, as you can see, to apply a vertical translation we changed the value of k, which is the y-value of the vertex of the quadratic equation.
Then the correct option is the second one.
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(PLEASE HELP!) Annie wishes to build a set of five stairs according to the plan below.
(a) How high is each step?
(b) How wide is each step, correct to 2 decimal places?
Answer:
a)
sin30=high of steps/175
sin30=1/2
so
high of steps= 175/2
high of steps=87.5cm
b)
cos30=wide/175
cos30=3^1/2÷2
wide=175*3^1/2÷2
3^1/2=1.73
so
wide=175*1.73/2
wide=151.37
1. Find the length of the indicated side.
Helpp i dont know what to do after finding the angle (39) pls explain
Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.
It can be solved using Trigonometric ratios and Pythagoras theorem
Firstly using Trigonometric ratios
Using Sinθ,
Sinθ = perpendicular / hypotenuse(h)
Sin 39 = 8 / h
0.63 = 8 / h
h = 8 / 0.63
h = 12.70
∴ The length of indicated side is 12.70m
Secondly, using Pythagoras theorem,
(hypotenuse)² = (Altitude)² + (Base)²
⇒ (H)² = 8² + 10²
⇒ (H)² = 64 + 100
⇒ (H)² = 164
⇒ H = √164
⇒ H = 12.80
∴ The length of indicated side is 12.80m
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(-2+1)exponent2+5(12/3)-9=
Question :
(-2+1)exponent2+5(12/3)-9=
Answer:
The answer is : 12 po
Multiply these fractions. Cancel and simplify if necessary
Answer: KCF
Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.
what is (−2.1)⋅(−1.4)
find the area of the shaded region.
round to the nearest tenth.
The area of the shaded region is 294.4 square meters
How to find the area of the shaded region?The given parameters are represented on the figure
By this;
The area of the shaded region is the sum of the area of the major sector and the area of the triangle
The area of the major sector is
A1= ∅/360 * πr²
The area of the triangle is
A2 = 0.5r²sin(x)
So, the total area is
Total = ∅/360 * πr² + 0.5r²sin(x)
This gives
Total = (360 - 130)/360 * 3.14 * 11.1^2 + 0.5 * 11.1^2 * sin(130 deg)
Evaluate
Total = 294.4
Hence, the area of the shaded region is 294.4 square meters
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9n-22=4n + 3
And please explain how you got your answer, I’ve gotten this far (look at image) but I don’t know what to do now
Un ciclista tarda 3horas y 25 minutos en recorrer 150km ¿cuantos minutos tardará en recorrer 238km si lleva una velocidad constante?
Answer :
The time it will take to travel a distance of 225km is t = 9 h
What is MRU?
MRU are the acronyms that define the uniform rectilinear movement which is the movement that maintains a variation of the distance with respect to time always constant since the acceleration is null.
We will calculate the speed you have in cyclist with the initial data of traveling a distance of 125km in a time of 5 hours:
Speed = distance / time
Speed = 125km/5h
Speed = 25 km/h
We now determine a time for a 225km course
25 km/h = 225km/t
t = 225km / 25km/h
t = 9 h