Answer:
The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].
Step-by-step explanation:
The exponential model can be modelled by the following mathematical expression:
[tex]y = A\cdot e^{B\cdot x}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]A, B[/tex] - Coefficients.
If we know that [tex](x_{1}, y_{1}) = (7,12)[/tex] and [tex](x_{2}, y_{2}) = (8,25)[/tex], then we get the following system of equations:
[tex]A\cdot e^{7\cdot B} = 12[/tex] (2)
[tex]A\cdot e^{8\cdot B} = 25[/tex] (3)
If we divide (3) by (2), we calculate the value of [tex]B[/tex]:
[tex]e^{B}=\frac{25}{12}[/tex]
[tex]B = \ln \frac{25}{12}[/tex]
[tex]B \approx 0.734[/tex]
And by (2), we determine the value of [tex]A[/tex]:
[tex]A = 12\cdot e^{-7\cdot B}[/tex]
[tex]A = 0.0704[/tex]
The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].
35,651,000,000 in to scientific notation
Draw a conclusion is the statment below always, sometimes, or never true ? Bive at least two examples to support your reasoning. The lcm of two numbers is the product of the two number discuss your conclusion with a partner
Answer:
Sometimes
Step-by-step explanation:
Example 1:
Take two numbers as [tex]7,8[/tex]
LCM of [tex]7,8=7(8)=56[/tex]
In this case, the lcm of two numbers is equal to the product of the two numbers.
Example 2:
Take two numbers as [tex]6,3[/tex]
[tex]6=3(2)[/tex]
So,
LCM of [tex]6,3=3(2)=6[/tex]
In this case, the lcm of two numbers is not equal to the product of the two numbers.
Therefore,
Sometimes, the lcm of two numbers is equal to the product of the two numbers.
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
[tex]3x-1[/tex]
Step-by-step explanation:
[tex]3+2(x-2)+x=3+2x-2.2+x=(2x+x)+(3-4)\\=3x-1[/tex]
Answer:
3x-1
Step-by-step explanation:
trust me i know
what is the solution
y=-4x+20 y=2x-22
Answer: x=7 y=-8
Step-by-step explanation:
Here is a right square pyramid. Round answers in this problem to the nearest tenth if necessary. What is the volume of the pyramid? Remember V (square pyramid) = (1/3) Bh, where B = area of base.
Answer:
Step-by-step explanation:
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Solve the absolute value equation:
|x| -7=-3
Answer:
Step-by-step explanation:
-3+7=4
x=4
Translate the sentence into an equation.
Eighty-five less than the product of 5 and x is equal to ten.
Answer:
5x-85=10
Step-by-step explanation:
"85 less" indicates subtraction, "product of 5 and x" is multiplication. This means its 5x-85. The whole thing is equal to 10, so the equation is 5x-85=10
What is the solution to the system of equations?
x = -4y
3x + 2y = 20
Answer:
(x, y) = (8, -2)
Step-by-step explanation:
Substitute:
3(-4y) + 2y = 20
-12y + 2y = 20
-10y = 20
y = -2
x = -4(-2) = 8
1 = y / 6
need help!!!
Answer:
y=6
Step-by-step explanation:
Isolate y by multiplying by 6
1*6=y/6*6
y=6
Check
6/6=1
Step-by-step explanation:
Here's the answer.
1=y/6
1*6=y
6=y
Please follow me if you think it's worth it and message me anytime you have a doubt.
Some please help me to solve this 2 problems
x=5,y=2
can someone please like pretty please help me with this? i seriously need help and my teacher won’t help me with it even after I’ve told him I don’t understand it and it’s about to be due and Emmy whole grade depends on it and I have no idea how to solve it ! I’ll mark you brainleist and give a 5.0 rating, PLEASE HELP !!
Answer:
She made $1230 more on printed shirts than plain shirts in 25 weeks.
Step-by-step explanation:
Hi,
Okay, I have to admit, this is pretty complicated. But, it's not impossible :) First things first, we know that the equation in the table is the number of shirts sold after W number of weeks. We know that we need to, first, find the total number of shirts sold in 25 weeks.
The equation for the plain shirts is 5w -4. Let's start with that.
Plugin 25 for w to find the total number of plain shirts sold after 25 weeks.
5w - 4
5(25) - 4
= 121
She sold 121 plain shirts after 25 weeks. But we're not done yet, we still have to see how much money she made after selling 121 plain shirts. To do this, we have to multiply the total number of plains shirts sold by 15. (we know that each plain short costs $15, that's why we're multiplying it by 121)
When you do this...
121 x 15
You get...
$1815
She got $1815 after 25 weeks just for selling plain shirts.
Now, let's find the total cost of printed shirts after 25 weeks.
The equation for the printed shirts if 8w + 3.
8w + 3
8(25) + 3
= 203
She sold 203 printed shirts in 25 weeks. Let's find the cost. Each printed shirt costs $15 so we need to multiply 203 by 15.
203 x 15
You get...
$3045
She made $3045 by selling printed shirts in 25 weeks.
Now, we have to subtract $3045 by $1815 to find how much more she made. You get...
3045 - 1815
= $1230
She made $1230 more on printed shirts than plain shirts in 25 weeks.
I really hope this helps :)
the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
The Bigtown football team outscored its opponents 5:2 last season. If their opponents scored 38 points, how many points did Big Town score? (Hint: Bigtown is first in the ratio)
Answer:
95 points
Step-by-step explanation:
Let P = Big Town's points
5/2 = P/38
2P = 190
P = 95 points
What is m∠X to the nearest degree?
Need help with this trigonometry word problem
From the top of the tower 30 m height a man is observing the base of a tree at an angle of depression measuring 30 degree. Find the distance between the tree and the tower.
Please show your work
Answer:
30√3 m ≈ 52 m
Step-by-step explanation:
The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.
The distance between the tree and the tower is about 30√3 m ≈ 52 m.
__
If you haven't memorized the ratios of this special triangle, you can use the relation ...
Tan = Opposite/Adjacent
tan(30°) = 30/d
d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above
Tracy works at Garcia’s Mexican restaurant every day from 12-8
p.m. She makes $7.25 per hour. How much money does Tracy make
in 8 hours?
Kip took out a loan for $750. He earned $60 in interest and his interest
rate was 4%. How long did he take to repay the loan?
1 year
2 years
2.5 years
3 years
9514 1404 393
Answer:
(b) 2 years
Step-by-step explanation:
The interest formula is ...
I = Prt . . . . interest rate r on principal P for t years
We can fill in the known values and solve for t.
60 = 750·0.04·t
60/30 = t = 2
The loan was repaid in 2 years.
Which of the following expressions is equivalent to the expression below?
z (2a + b) – (4a + b)
PLEASE HELP
Answer:
-2a
Step-by-step explanation:
Which expression is equivalent to (8m + 6) + (3m - 2) ?
Answer:
(11m-4)
Step-by-step explanation:
8m+3m=11m
6-2=4
need help with this please
Answer:
-2/5
Step-by-step explanation:
Exactly the opposite of the sign, opposite of + is negative (-)
Please answer by today
Answer:
y axis
Step-by-step explanation:
the y coordinate changed
Can anyone help me please
Answer:
Step-by-step explanation:
Sorry bro can’t help you on that one
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
Someone plz help me giving brainliest
Answer:
1. ROUND
2. COMMUNITIVE
3. AREA MODEL
4. MIXED NUMBERS
FALSE
FALSE
TRUE
TRUE
Step-by-step explanation:
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a real number between √13 and √14
Answer:
3.7
Step-by-step explanation:
what is the area of the figure below
Answer:49.5
Step-by-step explanation:
Since all sides of a square are equal, multiply 6 x 6. Then multiply 6 times 4 1/2 then divided by 2. Now add everything together. Hopefully this helps :)
Find the twenty-seventh term of the arithmetic sequence 21, 18, 15, ...
Answer: -57
Step-by-step explanation: 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36, -39, -42, -45, -48, -51, -54, -57
It is decreasing by 3 each turn. Therefore, the 27th term would be -57.
Two angles are complementary. The measure of angle W is four times the
measure of angle N plus 10 degrees. What is the measure of angle N?
Luis saved 5/8 of his pay. What percent of his pay did he save?